%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP129-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:35:57 PM UTC 2026
% Result : Satisfiable 201.05s 26.04s
% Output : Saturation 151.97s
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y,X,Z1,Z2] :
( ~ product(X,Z1,Z2)
| ~ product(Z1,Y,Z2)
| product(Y,X,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Z1,Z2,Y] :
( ~ product(Y,X,Z1)
| ~ product(Z1,Y,Z2)
| product(X,Z1,Z2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [Y,X,Z1,Z2] :
( product(Z1,Y,Z2)
| ~ product(X,Z1,Z2)
| ~ product(Y,X,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,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(f36,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(f37,plain,
! [X,Z1,Z2] :
( ~ product(X,Z1,Z2)
| ! [Y] :
( ~ product(Z1,Y,Z2)
| product(Y,X,Z1) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( ~ product(X1,X2,X3)
| ~ product(X2,X0,X3)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f39,plain,
! [X,Z1,Y] :
( ~ product(Y,X,Z1)
| ! [Z2] :
( ~ product(Z1,Y,Z2)
| product(X,Z1,Z2) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ~ product(X3,X0,X1)
| ~ product(X1,X3,X2)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f42,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f43,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f44,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f45,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f46,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f47,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f48,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f49,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f50,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f51,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f52,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f53,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f54,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f55,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f56,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f57,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f58,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f59,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f60,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f61,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f62,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f63,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f64,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f65,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f66,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(f67,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [Y,Z1,Z2] :
( product(Z1,Y,Z2)
| ! [X] :
( ~ product(X,Z1,Z2)
| ~ product(Y,X,Z1) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( product(X2,X0,X3)
| ~ product(X1,X2,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,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)],[f35,f45]) ).
fof(f76,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)],[f35,f44]) ).
fof(f77,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)],[f35,f43]) ).
fof(f78,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)],[f35,f42]) ).
fof(f79,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)],[f35,f41]) ).
fof(f80,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)],[f36,f45]) ).
fof(f81,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)],[f36,f44]) ).
fof(f82,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)],[f36,f43]) ).
fof(f83,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)],[f36,f42]) ).
fof(f84,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)],[f36,f41]) ).
fof(f85,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)],[f66,f45]) ).
fof(f86,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)],[f66,f44]) ).
fof(f87,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)],[f66,f43]) ).
fof(f88,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)],[f66,f42]) ).
fof(f89,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)],[f66,f41]) ).
fof(f90,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)],[f75,f45]) ).
fof(f91,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)],[f75,f44]) ).
fof(f92,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)],[f75,f43]) ).
fof(f93,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)],[f75,f42]) ).
fof(f94,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)],[f75,f41]) ).
fof(f95,definition,
( sQ0_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ0_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f97,plain,
( sQ0_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ1_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ1_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( sQ1_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,definition,
( sQ2_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ2_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f103,plain,
( sQ2_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,definition,
( sQ3_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( ~ sQ3_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f106,plain,
( sQ3_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,definition,
( sQ4_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( ~ sQ4_spl
| product(e_5,e_5,e_5) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f109,plain,
( sQ4_spl
| ~ product(e_5,e_5,e_5) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f90,f95,f98,f101,f104,f107]) ).
fof(f111,definition,
( sQ5_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ5_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f113,plain,
( sQ5_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ6_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ6_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f116,plain,
( sQ6_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ7_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ7_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( sQ7_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
( sQ8_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ8_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f122,plain,
( sQ8_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ9_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ9_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f125,plain,
( sQ9_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f91,f111,f114,f117,f120,f123]) ).
fof(f127,definition,
( sQ10_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ10_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ10_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ11_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ11_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ11_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,definition,
( sQ12_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ12_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( sQ12_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
( sQ13_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ13_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ13_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ14_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ14_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f141,plain,
( sQ14_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f92,f127,f130,f133,f136,f139]) ).
fof(f143,definition,
( sQ15_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ15_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( sQ15_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ16_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ16_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ16_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,definition,
( sQ17_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ17_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f151,plain,
( sQ17_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,definition,
( sQ18_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ18_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f154,plain,
( sQ18_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ19_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ19_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f157,plain,
( sQ19_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f93,f143,f146,f149,f152,f155]) ).
fof(f159,definition,
( sQ20_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ20_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ20_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ21_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ21_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( sQ21_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
( sQ22_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ22_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( sQ22_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,definition,
( sQ23_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ23_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f170,plain,
( sQ23_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
( sQ24_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ24_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f173,plain,
( sQ24_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f94,f159,f162,f165,f168,f171]) ).
fof(f175,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f172,f72]) ).
fof(f176,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f172,f70]) ).
fof(f177,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f172,f68]) ).
fof(f178,plain,
! [X0] :
( ~ sQ24_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f172,f74]) ).
fof(f179,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_1,e_5,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f172,f40]) ).
fof(f180,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f172,f38]) ).
fof(f181,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f169,f72]) ).
fof(f182,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f169,f70]) ).
fof(f183,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f169,f68]) ).
fof(f184,plain,
! [X0] :
( ~ sQ23_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f169,f74]) ).
fof(f185,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(e_1,e_4,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f169,f40]) ).
fof(f186,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(X0,e_4,e_1)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f169,f38]) ).
fof(f187,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f166,f72]) ).
fof(f188,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f166,f70]) ).
fof(f189,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f166,f68]) ).
fof(f190,plain,
! [X0] :
( ~ sQ22_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f166,f74]) ).
fof(f191,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f166,f40]) ).
fof(f192,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f166,f38]) ).
fof(f193,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f163,f72]) ).
fof(f194,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f163,f70]) ).
fof(f195,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f163,f68]) ).
fof(f196,plain,
! [X0] :
( ~ sQ21_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f163,f74]) ).
fof(f197,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_1,e_2,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f163,f40]) ).
fof(f198,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(X0,e_2,e_1)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f163,f38]) ).
fof(f199,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f160,f72]) ).
fof(f200,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f160,f70]) ).
fof(f201,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f160,f68]) ).
fof(f202,plain,
! [X0] :
( ~ sQ20_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f160,f74]) ).
fof(f203,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_1,e_1,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f160,f40]) ).
fof(f204,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(X0,e_1,e_1)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f160,f38]) ).
fof(f205,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f156,f72]) ).
fof(f206,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f156,f70]) ).
fof(f207,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f156,f68]) ).
fof(f208,plain,
! [X0] :
( ~ sQ19_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f156,f74]) ).
fof(f209,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(e_2,e_5,X0)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f156,f40]) ).
fof(f210,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f156,f38]) ).
fof(f211,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f153,f72]) ).
fof(f212,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f153,f70]) ).
fof(f213,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f153,f68]) ).
fof(f214,plain,
! [X0] :
( ~ sQ18_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f153,f74]) ).
fof(f215,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_2,e_4,X0)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f153,f40]) ).
fof(f216,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_4,e_2)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f153,f38]) ).
fof(f217,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)],[f76,f45]) ).
fof(f218,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)],[f76,f44]) ).
fof(f219,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)],[f76,f43]) ).
fof(f220,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)],[f76,f42]) ).
fof(f221,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)],[f76,f41]) ).
fof(f222,definition,
( sQ25_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ25_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ25_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ26_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ26_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ26_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ27_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ27_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ27_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ28_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ28_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( sQ28_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,definition,
( sQ29_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ29_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f236,plain,
( sQ29_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f217,f222,f225,f228,f231,f234]) ).
fof(f238,definition,
( sQ30_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ30_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ30_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ31_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ31_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ31_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ32_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ32_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ32_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ33_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ33_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( sQ33_spl
| ~ product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ34_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ34_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( sQ34_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f218,f238,f241,f244,f247,f250]) ).
fof(f254,definition,
( sQ35_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ35_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ35_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ36_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ36_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ36_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ37_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ37_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ37_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ38_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ38_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ38_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ39_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ39_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ39_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f219,f254,f257,f260,f263,f266]) ).
fof(f270,definition,
( sQ40_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ40_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( sQ40_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ41_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ41_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( sQ41_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ42_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ42_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ42_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ43_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ43_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ43_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ44_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ44_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ44_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f220,f270,f273,f276,f279,f282]) ).
fof(f286,definition,
( sQ45_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ45_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( sQ45_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ46_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ46_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( sQ46_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ47_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ47_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ47_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ48_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ48_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ48_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ49_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ49_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ49_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f221,f286,f289,f292,f295,f298]) ).
fof(f302,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)],[f77,f45]) ).
fof(f303,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)],[f77,f44]) ).
fof(f304,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)],[f77,f43]) ).
fof(f305,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)],[f77,f42]) ).
fof(f306,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)],[f77,f41]) ).
fof(f307,definition,
( sQ50_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ50_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f309,plain,
( sQ50_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ51_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ51_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f312,plain,
( sQ51_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
( sQ52_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ52_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( sQ52_spl
| ~ product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,definition,
( sQ53_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ53_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f318,plain,
( sQ53_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,definition,
( sQ54_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ54_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( sQ54_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f302,f307,f310,f313,f316,f319]) ).
fof(f323,definition,
( sQ55_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ55_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( sQ55_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,definition,
( sQ56_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ56_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ56_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ57_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ57_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f331,plain,
( sQ57_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,definition,
( sQ58_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ58_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f334,plain,
( sQ58_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,definition,
( sQ59_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ59_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f337,plain,
( sQ59_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f303,f323,f326,f329,f332,f335]) ).
fof(f339,definition,
( sQ60_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ60_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f341,plain,
( sQ60_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,definition,
( sQ61_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ61_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f344,plain,
( sQ61_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ62_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ62_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ62_spl
| ~ product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
( sQ63_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ63_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ63_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ64_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ64_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ64_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f304,f339,f342,f345,f348,f351]) ).
fof(f355,definition,
( sQ65_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ65_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f357,plain,
( sQ65_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,definition,
( sQ66_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ66_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f360,plain,
( sQ66_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ67_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ67_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( sQ67_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ68_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ68_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ68_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ69_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ69_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ69_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f305,f355,f358,f361,f364,f367]) ).
fof(f371,definition,
( sQ70_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( ~ sQ70_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f373,plain,
( sQ70_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,definition,
( sQ71_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ71_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( sQ71_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ72_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ72_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ72_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ73_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ73_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ73_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ74_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ74_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ74_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f306,f371,f374,f377,f380,f383]) ).
fof(f387,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)],[f78,f45]) ).
fof(f388,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)],[f78,f44]) ).
fof(f389,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)],[f78,f43]) ).
fof(f390,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)],[f78,f42]) ).
fof(f391,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)],[f78,f41]) ).
fof(f392,definition,
( sQ75_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ75_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ75_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ76_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ76_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f397,plain,
( sQ76_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ77_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ77_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ77_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ78_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ78_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f403,plain,
( sQ78_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,definition,
( sQ79_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ79_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( sQ79_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f387,f392,f395,f398,f401,f404]) ).
fof(f408,definition,
( sQ80_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ80_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f410,plain,
( sQ80_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ81_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ81_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ81_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ82_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ82_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ82_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ83_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ83_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f419,plain,
( sQ83_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
( sQ84_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ84_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( sQ84_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f388,f408,f411,f414,f417,f420]) ).
fof(f424,definition,
( sQ85_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ85_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ85_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ86_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ86_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ86_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ87_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ87_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ87_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ88_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ88_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ88_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ89_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ89_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ89_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f389,f424,f427,f430,f433,f436]) ).
fof(f440,definition,
( sQ90_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ90_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f442,plain,
( sQ90_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ91_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ91_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ91_spl
| ~ product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ92_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ92_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ92_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ93_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ93_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( sQ93_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ94_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ94_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( sQ94_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f390,f440,f443,f446,f449,f452]) ).
fof(f456,definition,
( sQ95_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ95_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f458,plain,
( sQ95_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,definition,
( sQ96_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ96_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f461,plain,
( sQ96_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,definition,
( sQ97_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ97_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f464,plain,
( sQ97_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ98_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ98_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f467,plain,
( sQ98_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,definition,
( sQ99_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ99_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ99_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f391,f456,f459,f462,f465,f468]) ).
fof(f472,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)],[f79,f45]) ).
fof(f473,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)],[f79,f44]) ).
fof(f474,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)],[f79,f43]) ).
fof(f475,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)],[f79,f42]) ).
fof(f476,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)],[f79,f41]) ).
fof(f477,definition,
( sQ100_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ100_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( sQ100_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ101_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ101_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( sQ101_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ102_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ102_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ102_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ103_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ103_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( sQ103_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ104_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ104_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ104_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f472,f477,f480,f483,f486,f489]) ).
fof(f493,definition,
( sQ105_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ105_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( sQ105_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
( sQ106_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ106_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ106_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ107_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ107_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ107_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ108_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ108_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ108_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ109_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ109_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ109_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f473,f493,f496,f499,f502,f505]) ).
fof(f509,definition,
( sQ110_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ110_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ110_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ111_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ111_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ111_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ112_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ112_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ112_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ113_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ113_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ113_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ114_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ114_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( sQ114_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f474,f509,f512,f515,f518,f521]) ).
fof(f525,definition,
( sQ115_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( ~ sQ115_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f527,plain,
( sQ115_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
( sQ116_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ116_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f530,plain,
( sQ116_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ117_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ117_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f533,plain,
( sQ117_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ118_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ118_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ118_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ119_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ119_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f539,plain,
( sQ119_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f475,f525,f528,f531,f534,f537]) ).
fof(f541,definition,
( sQ120_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ120_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( sQ120_spl
| ~ product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,definition,
( sQ121_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ121_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f546,plain,
( sQ121_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,definition,
( sQ122_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ122_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f549,plain,
( sQ122_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ123_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ123_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( sQ123_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,definition,
( sQ124_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( ~ sQ124_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( sQ124_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f476,f541,f544,f547,f550,f553]) ).
fof(f557,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)],[f80,f45]) ).
fof(f558,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)],[f80,f44]) ).
fof(f559,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)],[f80,f43]) ).
fof(f560,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)],[f80,f42]) ).
fof(f561,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)],[f80,f41]) ).
fof(f562,plain,
( sQ4_spl
| sQ29_spl
| sQ54_spl
| sQ79_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f557,f489,f404,f319,f234,f107]) ).
fof(f563,plain,
( sQ9_spl
| sQ34_spl
| sQ59_spl
| sQ84_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f558,f505,f420,f335,f250,f123]) ).
fof(f564,plain,
( sQ14_spl
| sQ39_spl
| sQ64_spl
| sQ89_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f559,f521,f436,f351,f266,f139]) ).
fof(f565,plain,
( sQ19_spl
| sQ44_spl
| sQ69_spl
| sQ94_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f560,f537,f452,f367,f282,f155]) ).
fof(f566,plain,
( sQ24_spl
| sQ49_spl
| sQ74_spl
| sQ99_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f561,f553,f468,f383,f298,f171]) ).
fof(f567,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)],[f81,f45]) ).
fof(f568,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)],[f81,f44]) ).
fof(f569,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)],[f81,f43]) ).
fof(f570,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)],[f81,f42]) ).
fof(f571,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)],[f81,f41]) ).
fof(f572,plain,
( sQ3_spl
| sQ28_spl
| sQ53_spl
| sQ78_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f567,f486,f401,f316,f231,f104]) ).
fof(f573,plain,
( sQ8_spl
| sQ33_spl
| sQ58_spl
| sQ83_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f568,f502,f417,f332,f247,f120]) ).
fof(f574,plain,
( sQ13_spl
| sQ38_spl
| sQ63_spl
| sQ88_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f569,f518,f433,f348,f263,f136]) ).
fof(f575,plain,
( sQ18_spl
| sQ43_spl
| sQ68_spl
| sQ93_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f570,f534,f449,f364,f279,f152]) ).
fof(f576,plain,
( sQ23_spl
| sQ48_spl
| sQ73_spl
| sQ98_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f571,f550,f465,f380,f295,f168]) ).
fof(f577,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)],[f82,f45]) ).
fof(f578,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)],[f82,f44]) ).
fof(f579,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)],[f82,f43]) ).
fof(f580,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)],[f82,f42]) ).
fof(f581,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)],[f82,f41]) ).
fof(f582,plain,
( sQ2_spl
| sQ27_spl
| sQ52_spl
| sQ77_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f577,f483,f398,f313,f228,f101]) ).
fof(f583,plain,
( sQ7_spl
| sQ32_spl
| sQ57_spl
| sQ82_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f578,f499,f414,f329,f244,f117]) ).
fof(f584,plain,
( sQ12_spl
| sQ37_spl
| sQ62_spl
| sQ87_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f579,f515,f430,f345,f260,f133]) ).
fof(f585,plain,
( sQ17_spl
| sQ42_spl
| sQ67_spl
| sQ92_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f580,f531,f446,f361,f276,f149]) ).
fof(f586,plain,
( sQ22_spl
| sQ47_spl
| sQ72_spl
| sQ97_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f581,f547,f462,f377,f292,f165]) ).
fof(f587,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)],[f83,f45]) ).
fof(f588,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)],[f83,f44]) ).
fof(f589,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)],[f83,f43]) ).
fof(f590,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)],[f83,f42]) ).
fof(f591,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)],[f83,f41]) ).
fof(f592,plain,
( sQ1_spl
| sQ26_spl
| sQ51_spl
| sQ76_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f587,f480,f395,f310,f225,f98]) ).
fof(f593,plain,
( sQ6_spl
| sQ31_spl
| sQ56_spl
| sQ81_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f588,f496,f411,f326,f241,f114]) ).
fof(f594,plain,
( sQ11_spl
| sQ36_spl
| sQ61_spl
| sQ86_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f589,f512,f427,f342,f257,f130]) ).
fof(f595,plain,
( sQ16_spl
| sQ41_spl
| sQ66_spl
| sQ91_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f590,f528,f443,f358,f273,f146]) ).
fof(f596,plain,
( sQ21_spl
| sQ46_spl
| sQ71_spl
| sQ96_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f591,f544,f459,f374,f289,f162]) ).
fof(f597,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)],[f84,f45]) ).
fof(f598,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)],[f84,f44]) ).
fof(f599,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)],[f84,f43]) ).
fof(f600,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)],[f84,f42]) ).
fof(f601,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)],[f84,f41]) ).
fof(f602,plain,
( sQ0_spl
| sQ25_spl
| sQ50_spl
| sQ75_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f597,f477,f392,f307,f222,f95]) ).
fof(f603,plain,
( sQ5_spl
| sQ30_spl
| sQ55_spl
| sQ80_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f598,f493,f408,f323,f238,f111]) ).
fof(f604,plain,
( sQ10_spl
| sQ35_spl
| sQ60_spl
| sQ85_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f599,f509,f424,f339,f254,f127]) ).
fof(f605,plain,
( sQ15_spl
| sQ40_spl
| sQ65_spl
| sQ90_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f600,f525,f440,f355,f270,f143]) ).
fof(f606,plain,
( sQ20_spl
| sQ45_spl
| sQ70_spl
| sQ95_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f601,f541,f456,f371,f286,f159]) ).
fof(f607,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)],[f85,f45]) ).
fof(f608,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)],[f85,f44]) ).
fof(f609,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)],[f85,f43]) ).
fof(f610,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)],[f85,f42]) ).
fof(f611,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)],[f85,f41]) ).
fof(f612,plain,
( sQ4_spl
| sQ9_spl
| sQ14_spl
| sQ19_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f607,f171,f155,f139,f123,f107]) ).
fof(f613,plain,
( sQ29_spl
| sQ34_spl
| sQ39_spl
| sQ44_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f608,f298,f282,f266,f250,f234]) ).
fof(f614,plain,
( sQ54_spl
| sQ59_spl
| sQ64_spl
| sQ69_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f609,f383,f367,f351,f335,f319]) ).
fof(f615,plain,
( sQ79_spl
| sQ84_spl
| sQ89_spl
| sQ94_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f610,f468,f452,f436,f420,f404]) ).
fof(f616,plain,
( sQ104_spl
| sQ109_spl
| sQ114_spl
| sQ119_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f611,f553,f537,f521,f505,f489]) ).
fof(f617,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)],[f86,f45]) ).
fof(f618,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)],[f86,f44]) ).
fof(f619,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)],[f86,f43]) ).
fof(f620,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)],[f86,f42]) ).
fof(f621,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)],[f86,f41]) ).
fof(f622,plain,
( sQ3_spl
| sQ8_spl
| sQ13_spl
| sQ18_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f617,f168,f152,f136,f120,f104]) ).
fof(f623,plain,
( sQ28_spl
| sQ33_spl
| sQ38_spl
| sQ43_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f618,f295,f279,f263,f247,f231]) ).
fof(f624,plain,
( sQ53_spl
| sQ58_spl
| sQ63_spl
| sQ68_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f619,f380,f364,f348,f332,f316]) ).
fof(f625,plain,
( sQ78_spl
| sQ83_spl
| sQ88_spl
| sQ93_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f620,f465,f449,f433,f417,f401]) ).
fof(f626,plain,
( sQ103_spl
| sQ108_spl
| sQ113_spl
| sQ118_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f621,f550,f534,f518,f502,f486]) ).
fof(f627,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)],[f87,f45]) ).
fof(f628,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)],[f87,f44]) ).
fof(f629,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)],[f87,f43]) ).
fof(f630,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)],[f87,f42]) ).
fof(f631,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)],[f87,f41]) ).
fof(f632,plain,
( sQ2_spl
| sQ7_spl
| sQ12_spl
| sQ17_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f627,f165,f149,f133,f117,f101]) ).
fof(f633,plain,
( sQ27_spl
| sQ32_spl
| sQ37_spl
| sQ42_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f628,f292,f276,f260,f244,f228]) ).
fof(f634,plain,
( sQ52_spl
| sQ57_spl
| sQ62_spl
| sQ67_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f629,f377,f361,f345,f329,f313]) ).
fof(f635,plain,
( sQ77_spl
| sQ82_spl
| sQ87_spl
| sQ92_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f630,f462,f446,f430,f414,f398]) ).
fof(f636,plain,
( sQ102_spl
| sQ107_spl
| sQ112_spl
| sQ117_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f631,f547,f531,f515,f499,f483]) ).
fof(f637,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)],[f88,f45]) ).
fof(f638,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)],[f88,f44]) ).
fof(f639,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)],[f88,f43]) ).
fof(f640,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)],[f88,f42]) ).
fof(f641,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)],[f88,f41]) ).
fof(f642,plain,
( sQ1_spl
| sQ6_spl
| sQ11_spl
| sQ16_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f637,f162,f146,f130,f114,f98]) ).
fof(f643,plain,
( sQ26_spl
| sQ31_spl
| sQ36_spl
| sQ41_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f638,f289,f273,f257,f241,f225]) ).
fof(f644,plain,
( sQ51_spl
| sQ56_spl
| sQ61_spl
| sQ66_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f639,f374,f358,f342,f326,f310]) ).
fof(f645,plain,
( sQ76_spl
| sQ81_spl
| sQ86_spl
| sQ91_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f640,f459,f443,f427,f411,f395]) ).
fof(f646,plain,
( sQ101_spl
| sQ106_spl
| sQ111_spl
| sQ116_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f641,f544,f528,f512,f496,f480]) ).
fof(f647,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)],[f89,f45]) ).
fof(f648,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)],[f89,f44]) ).
fof(f649,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)],[f89,f43]) ).
fof(f650,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)],[f89,f42]) ).
fof(f651,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)],[f89,f41]) ).
fof(f652,plain,
( sQ0_spl
| sQ5_spl
| sQ10_spl
| sQ15_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f647,f159,f143,f127,f111,f95]) ).
fof(f653,plain,
( sQ25_spl
| sQ30_spl
| sQ35_spl
| sQ40_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f648,f286,f270,f254,f238,f222]) ).
fof(f654,plain,
( sQ50_spl
| sQ55_spl
| sQ60_spl
| sQ65_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f649,f371,f355,f339,f323,f307]) ).
fof(f655,plain,
( sQ75_spl
| sQ80_spl
| sQ85_spl
| sQ90_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f650,f456,f440,f424,f408,f392]) ).
fof(f656,plain,
( sQ100_spl
| sQ105_spl
| sQ110_spl
| sQ115_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f651,f541,f525,f509,f493,f477]) ).
fof(f657,plain,
! [X0] :
( ~ sQ20_spl
| product(e_5,e_1,X0)
| product(e_4,e_1,X0)
| product(e_3,e_1,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f79,f203]) ).
fof(f658,plain,
( ~ sQ20_spl
| 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) ),
inference(resolution,[status(thm)],[f657,f45]) ).
fof(f659,plain,
( ~ sQ20_spl
| 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) ),
inference(resolution,[status(thm)],[f657,f44]) ).
fof(f660,plain,
( ~ sQ20_spl
| 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) ),
inference(resolution,[status(thm)],[f657,f43]) ).
fof(f661,plain,
( ~ sQ20_spl
| 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) ),
inference(resolution,[status(thm)],[f657,f42]) ).
fof(f662,plain,
( ~ sQ20_spl
| 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) ),
inference(resolution,[status(thm)],[f657,f41]) ).
fof(f663,plain,
( ~ sQ20_spl
| sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f658,f480,f483,f486,f489,f159]) ).
fof(f664,plain,
( ~ sQ20_spl
| sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f659,f496,f499,f502,f505,f159]) ).
fof(f665,plain,
( ~ sQ20_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f660,f512,f515,f518,f521,f159]) ).
fof(f666,plain,
( ~ sQ20_spl
| sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f661,f528,f531,f534,f537,f159]) ).
fof(f667,plain,
( ~ sQ20_spl
| sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f662,f544,f547,f550,f553,f159]) ).
fof(f678,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f108,f72]) ).
fof(f679,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f108,f70]) ).
fof(f680,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f108,f68]) ).
fof(f681,plain,
! [X0] :
( ~ sQ4_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f108,f74]) ).
fof(f685,plain,
( ~ sQ23_spl
| ~ sQ49_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f299,f186]) ).
fof(f686,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f299,f72]) ).
fof(f687,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f299,f70]) ).
fof(f688,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f299,f68]) ).
fof(f689,plain,
! [X0] :
( ~ sQ49_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f299,f74]) ).
fof(f690,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_1,e_5,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f299,f40]) ).
fof(f691,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(X0,e_5,e_1)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f299,f38]) ).
fof(f692,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f685,f72]) ).
fof(f693,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f685,f70]) ).
fof(f694,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f685,f68]) ).
fof(f695,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f685,f74]) ).
fof(f696,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f685,f40]) ).
fof(f697,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f685,f38]) ).
fof(f698,plain,
( ~ sQ23_spl
| ~ sQ49_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f692,f685]) ).
fof(f700,plain,
( ~ sQ23_spl
| ~ sQ49_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f694,f685]) ).
fof(f701,plain,
( ~ sQ4_spl
| ~ sQ23_spl
| ~ sQ49_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f694,f108]) ).
fof(f702,plain,
( ~ sQ4_spl
| ~ sQ23_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f65]) ).
fof(f703,plain,
( ~ sQ4_spl
| ~ sQ23_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f702]) ).
fof(f704,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f208,f108]) ).
fof(f705,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f704,f72]) ).
fof(f706,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f704,f70]) ).
fof(f707,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f704,f68]) ).
fof(f709,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| ~ product(e_2,e_5,X0)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f704,f40]) ).
fof(f710,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f704,f38]) ).
fof(f711,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f705,f704]) ).
fof(f713,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f707,f704]) ).
fof(f714,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f707,f108]) ).
fof(f715,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f714,f63]) ).
fof(f716,plain,
( ~ sQ4_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f715]) ).
fof(f717,plain,
( ~ sQ18_spl
| ~ sQ44_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f283,f216]) ).
fof(f718,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f283,f72]) ).
fof(f719,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f283,f70]) ).
fof(f720,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f283,f68]) ).
fof(f721,plain,
! [X0] :
( ~ sQ44_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f283,f74]) ).
fof(f722,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(e_2,e_5,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f283,f40]) ).
fof(f723,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(X0,e_5,e_2)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f283,f38]) ).
fof(f724,plain,
( ~ sQ49_spl
| ~ sQ18_spl
| ~ sQ44_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f717,f689]) ).
fof(f725,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f717,f72]) ).
fof(f726,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f717,f70]) ).
fof(f727,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f717,f68]) ).
fof(f728,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f717,f74]) ).
fof(f729,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f717,f40]) ).
fof(f730,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f717,f38]) ).
fof(f731,plain,
( ~ sQ49_spl
| ~ sQ18_spl
| ~ sQ44_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f724,f168,f282,f152,f298]) ).
fof(f732,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f267,f72]) ).
fof(f733,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f267,f70]) ).
fof(f734,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f267,f68]) ).
fof(f735,plain,
! [X0] :
( ~ sQ39_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f267,f74]) ).
fof(f736,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_3,e_5,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f267,f40]) ).
fof(f737,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_5,e_3)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f267,f38]) ).
fof(f738,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f251,f72]) ).
fof(f739,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f251,f70]) ).
fof(f740,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f251,f68]) ).
fof(f741,plain,
! [X0] :
( ~ sQ34_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f251,f74]) ).
fof(f742,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_4,e_5,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f251,f40]) ).
fof(f743,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(X0,e_5,e_4)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f251,f38]) ).
fof(f744,plain,
! [X0] :
( ~ sQ34_spl
| 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(backward_subsumption_resolution,[status(thm)],[f81,f742]) ).
fof(f745,plain,
( ~ sQ34_spl
| 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)],[f744,f45]) ).
fof(f746,plain,
( ~ sQ34_spl
| 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)],[f744,f44]) ).
fof(f747,plain,
( ~ sQ34_spl
| 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)],[f744,f43]) ).
fof(f748,plain,
( ~ sQ34_spl
| 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)],[f744,f42]) ).
fof(f749,plain,
( ~ sQ34_spl
| 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)],[f744,f41]) ).
fof(f750,plain,
( ~ sQ34_spl
| sQ28_spl
| sQ53_spl
| sQ78_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f745,f486,f401,f316,f231,f250]) ).
fof(f751,plain,
( ~ sQ34_spl
| sQ33_spl
| sQ58_spl
| sQ83_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f746,f502,f417,f332,f247,f250]) ).
fof(f752,plain,
( ~ sQ34_spl
| sQ38_spl
| sQ63_spl
| sQ88_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f747,f518,f433,f348,f263,f250]) ).
fof(f753,plain,
( ~ sQ34_spl
| sQ43_spl
| sQ68_spl
| sQ93_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f748,f534,f449,f364,f279,f250]) ).
fof(f754,plain,
( ~ sQ34_spl
| sQ48_spl
| sQ73_spl
| sQ98_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f749,f550,f465,f380,f295,f250]) ).
fof(f765,plain,
( ~ sQ22_spl
| ~ sQ74_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f384,f192]) ).
fof(f766,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f384,f72]) ).
fof(f767,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f384,f70]) ).
fof(f768,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f384,f68]) ).
fof(f769,plain,
! [X0] :
( ~ sQ74_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f384,f74]) ).
fof(f770,plain,
! [X0] :
( ~ sQ74_spl
| ~ product(e_1,e_5,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f384,f40]) ).
fof(f771,plain,
! [X0] :
( ~ sQ74_spl
| ~ product(X0,e_5,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f384,f38]) ).
fof(f772,plain,
( ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f765,f737]) ).
fof(f773,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f765,f72]) ).
fof(f774,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f765,f70]) ).
fof(f775,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f765,f68]) ).
fof(f776,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f765,f74]) ).
fof(f777,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f765,f40]) ).
fof(f778,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f765,f38]) ).
fof(f779,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f772,f178]) ).
fof(f780,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f772,f72]) ).
fof(f781,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f772,f70]) ).
fof(f782,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f772,f68]) ).
fof(f783,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f772,f74]) ).
fof(f784,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(e_5,e_4,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f772,f40]) ).
fof(f785,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(X0,e_4,e_5)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f772,f38]) ).
fof(f786,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ74_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f779,f298,f383,f165,f266,f171]) ).
fof(f787,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f368,f72]) ).
fof(f788,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f368,f70]) ).
fof(f789,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f368,f68]) ).
fof(f790,plain,
! [X0] :
( ~ sQ69_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f368,f74]) ).
fof(f791,plain,
! [X0] :
( ~ sQ69_spl
| ~ product(e_2,e_5,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f368,f40]) ).
fof(f792,plain,
! [X0] :
( ~ sQ69_spl
| ~ product(X0,e_5,e_2)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f368,f38]) ).
fof(f793,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f352,f72]) ).
fof(f794,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f352,f70]) ).
fof(f795,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f352,f68]) ).
fof(f796,plain,
! [X0] :
( ~ sQ64_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f352,f74]) ).
fof(f797,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(e_3,e_5,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f352,f40]) ).
fof(f798,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(X0,e_5,e_3)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f352,f38]) ).
fof(f799,plain,
! [X0] :
( ~ sQ64_spl
| 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(backward_subsumption_resolution,[status(thm)],[f82,f797]) ).
fof(f800,plain,
( ~ sQ64_spl
| 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)],[f799,f45]) ).
fof(f801,plain,
( ~ sQ64_spl
| 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)],[f799,f44]) ).
fof(f802,plain,
( ~ sQ64_spl
| 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)],[f799,f43]) ).
fof(f803,plain,
( ~ sQ64_spl
| 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)],[f799,f42]) ).
fof(f804,plain,
( ~ sQ64_spl
| 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)],[f799,f41]) ).
fof(f805,plain,
( ~ sQ64_spl
| sQ27_spl
| sQ52_spl
| sQ77_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f800,f483,f398,f313,f228,f351]) ).
fof(f806,plain,
( ~ sQ64_spl
| sQ32_spl
| sQ57_spl
| sQ82_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f801,f499,f414,f329,f244,f351]) ).
fof(f807,plain,
( ~ sQ64_spl
| sQ37_spl
| sQ62_spl
| sQ87_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f802,f515,f430,f345,f260,f351]) ).
fof(f808,plain,
( ~ sQ64_spl
| sQ42_spl
| sQ67_spl
| sQ92_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f803,f531,f446,f361,f276,f351]) ).
fof(f809,plain,
( ~ sQ64_spl
| sQ47_spl
| sQ72_spl
| sQ97_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f804,f547,f462,f377,f292,f351]) ).
fof(f820,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f336,f72]) ).
fof(f821,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f336,f70]) ).
fof(f822,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f336,f68]) ).
fof(f823,plain,
! [X0] :
( ~ sQ59_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f336,f74]) ).
fof(f824,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_4,e_5,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f336,f40]) ).
fof(f825,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(X0,e_5,e_4)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f336,f38]) ).
fof(f826,plain,
( ~ sQ21_spl
| ~ sQ99_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f469,f198]) ).
fof(f827,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f469,f72]) ).
fof(f828,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f469,f70]) ).
fof(f829,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f469,f68]) ).
fof(f830,plain,
! [X0] :
( ~ sQ99_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f469,f74]) ).
fof(f831,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(e_1,e_5,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f469,f40]) ).
fof(f832,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(X0,e_5,e_1)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f469,f38]) ).
fof(f833,plain,
( ~ sQ21_spl
| ~ sQ99_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f826,f155,f468,f162]) ).
fof(f834,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f453,f72]) ).
fof(f835,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f453,f70]) ).
fof(f836,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f453,f68]) ).
fof(f837,plain,
! [X0] :
( ~ sQ94_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f453,f74]) ).
fof(f838,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(e_2,e_5,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f453,f40]) ).
fof(f839,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(X0,e_5,e_2)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f453,f38]) ).
fof(f840,plain,
! [X0] :
( ~ sQ94_spl
| 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(backward_subsumption_resolution,[status(thm)],[f83,f838]) ).
fof(f841,plain,
( ~ sQ94_spl
| 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)],[f840,f45]) ).
fof(f842,plain,
( ~ sQ94_spl
| 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)],[f840,f44]) ).
fof(f843,plain,
( ~ sQ94_spl
| 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)],[f840,f43]) ).
fof(f844,plain,
( ~ sQ94_spl
| 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)],[f840,f42]) ).
fof(f845,plain,
( ~ sQ94_spl
| 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)],[f840,f41]) ).
fof(f846,plain,
( ~ sQ94_spl
| sQ26_spl
| sQ51_spl
| sQ76_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f841,f480,f395,f310,f225,f452]) ).
fof(f847,plain,
( ~ sQ94_spl
| sQ31_spl
| sQ56_spl
| sQ81_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f842,f496,f411,f326,f241,f452]) ).
fof(f848,plain,
( ~ sQ94_spl
| sQ36_spl
| sQ61_spl
| sQ86_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f843,f512,f427,f342,f257,f452]) ).
fof(f849,plain,
( ~ sQ94_spl
| sQ41_spl
| sQ66_spl
| sQ91_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f844,f528,f443,f358,f273,f452]) ).
fof(f850,plain,
( ~ sQ94_spl
| sQ46_spl
| sQ71_spl
| sQ96_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f845,f544,f459,f374,f289,f452]) ).
fof(f861,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f437,f72]) ).
fof(f862,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f437,f70]) ).
fof(f863,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f437,f68]) ).
fof(f864,plain,
! [X0] :
( ~ sQ89_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f437,f74]) ).
fof(f865,plain,
! [X0] :
( ~ sQ89_spl
| ~ product(e_3,e_5,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f437,f40]) ).
fof(f866,plain,
! [X0] :
( ~ sQ89_spl
| ~ product(X0,e_5,e_3)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f437,f38]) ).
fof(f867,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f421,f72]) ).
fof(f868,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f421,f70]) ).
fof(f869,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f421,f68]) ).
fof(f870,plain,
! [X0] :
( ~ sQ84_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f421,f74]) ).
fof(f871,plain,
! [X0] :
( ~ sQ84_spl
| ~ product(e_4,e_5,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f421,f40]) ).
fof(f872,plain,
! [X0] :
( ~ sQ84_spl
| ~ product(X0,e_5,e_4)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f421,f38]) ).
fof(f873,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f554,f72]) ).
fof(f874,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f554,f70]) ).
fof(f875,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f554,f68]) ).
fof(f876,plain,
! [X0] :
( ~ sQ124_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f554,f74]) ).
fof(f877,plain,
! [X0] :
( ~ sQ124_spl
| ~ product(e_1,e_5,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f554,f40]) ).
fof(f878,plain,
! [X0] :
( ~ sQ124_spl
| ~ product(X0,e_5,e_1)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f554,f38]) ).
fof(f879,plain,
! [X0] :
( ~ sQ124_spl
| 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(backward_subsumption_resolution,[status(thm)],[f84,f877]) ).
fof(f880,plain,
( ~ sQ124_spl
| 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)],[f879,f45]) ).
fof(f881,plain,
( ~ sQ124_spl
| 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)],[f879,f44]) ).
fof(f882,plain,
( ~ sQ124_spl
| 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)],[f879,f43]) ).
fof(f883,plain,
( ~ sQ124_spl
| 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)],[f879,f42]) ).
fof(f884,plain,
( ~ sQ124_spl
| 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)],[f879,f41]) ).
fof(f885,plain,
( ~ sQ124_spl
| sQ25_spl
| sQ50_spl
| sQ75_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f880,f477,f392,f307,f222,f553]) ).
fof(f886,plain,
( ~ sQ124_spl
| sQ30_spl
| sQ55_spl
| sQ80_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f881,f493,f408,f323,f238,f553]) ).
fof(f887,plain,
( ~ sQ124_spl
| sQ35_spl
| sQ60_spl
| sQ85_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f882,f509,f424,f339,f254,f553]) ).
fof(f888,plain,
( ~ sQ124_spl
| sQ40_spl
| sQ65_spl
| sQ90_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f883,f525,f440,f355,f270,f553]) ).
fof(f889,plain,
( ~ sQ124_spl
| sQ45_spl
| sQ70_spl
| sQ95_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f884,f541,f456,f371,f286,f553]) ).
fof(f900,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f538,f72]) ).
fof(f901,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f538,f70]) ).
fof(f902,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f538,f68]) ).
fof(f903,plain,
! [X0] :
( ~ sQ119_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f538,f74]) ).
fof(f904,plain,
! [X0] :
( ~ sQ119_spl
| ~ product(e_2,e_5,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f538,f40]) ).
fof(f905,plain,
! [X0] :
( ~ sQ119_spl
| ~ product(X0,e_5,e_2)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f538,f38]) ).
fof(f906,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f522,f72]) ).
fof(f907,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f522,f70]) ).
fof(f908,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f522,f68]) ).
fof(f909,plain,
! [X0] :
( ~ sQ114_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f522,f74]) ).
fof(f910,plain,
! [X0] :
( ~ sQ114_spl
| ~ product(e_3,e_5,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f522,f40]) ).
fof(f911,plain,
! [X0] :
( ~ sQ114_spl
| ~ product(X0,e_5,e_3)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f522,f38]) ).
fof(f912,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f506,f72]) ).
fof(f913,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f506,f70]) ).
fof(f914,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f506,f68]) ).
fof(f915,plain,
! [X0] :
( ~ sQ109_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f506,f74]) ).
fof(f916,plain,
! [X0] :
( ~ sQ109_spl
| ~ product(e_4,e_5,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f506,f40]) ).
fof(f917,plain,
! [X0] :
( ~ sQ109_spl
| ~ product(X0,e_5,e_4)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f506,f38]) ).
fof(f918,plain,
( ~ sQ23_spl
| ~ sQ48_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f296,f186]) ).
fof(f919,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f296,f72]) ).
fof(f920,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f296,f70]) ).
fof(f921,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f296,f68]) ).
fof(f922,plain,
! [X0] :
( ~ sQ48_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f296,f74]) ).
fof(f923,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f296,f40]) ).
fof(f924,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f296,f38]) ).
fof(f925,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ48_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f918,f72]) ).
fof(f926,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f918,f70]) ).
fof(f927,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f918,f68]) ).
fof(f928,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ48_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f918,f74]) ).
fof(f929,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ48_spl
| ~ product(e_4,e_5,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f918,f40]) ).
fof(f930,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ48_spl
| ~ product(X0,e_5,e_4)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f918,f38]) ).
fof(f931,plain,
( ~ sQ23_spl
| ~ sQ48_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f925,f918]) ).
fof(f932,plain,
( ~ sQ109_spl
| ~ sQ23_spl
| ~ sQ48_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f926,f506]) ).
fof(f933,plain,
( ~ sQ84_spl
| ~ sQ23_spl
| ~ sQ48_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f926,f421]) ).
fof(f934,plain,
( ~ sQ59_spl
| ~ sQ23_spl
| ~ sQ48_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f926,f336]) ).
fof(f935,plain,
( ~ sQ23_spl
| ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f926,f918]) ).
fof(f936,plain,
( ~ sQ109_spl
| ~ sQ23_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f932,f48]) ).
fof(f937,plain,
( ~ sQ109_spl
| ~ sQ23_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f936]) ).
fof(f938,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f381,f72]) ).
fof(f939,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f381,f70]) ).
fof(f940,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f381,f68]) ).
fof(f941,plain,
! [X0] :
( ~ sQ73_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f381,f74]) ).
fof(f942,plain,
! [X0] :
( ~ sQ73_spl
| ~ product(e_1,e_4,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f381,f40]) ).
fof(f943,plain,
! [X0] :
( ~ sQ73_spl
| ~ product(X0,e_4,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f381,f38]) ).
fof(f944,plain,
( ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f941,f267]) ).
fof(f945,plain,
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f944,f910]) ).
fof(f946,plain,
( ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f944,f865]) ).
fof(f948,plain,
( ~ sQ109_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f944,f915]) ).
fof(f949,plain,
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f944,f909]) ).
fof(f950,plain,
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f944,f903]) ).
fof(f951,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f944,f180]) ).
fof(f952,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f944,f72]) ).
fof(f953,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f944,f70]) ).
fof(f954,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f944,f68]) ).
fof(f955,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ73_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f944,f74]) ).
fof(f956,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f944,f40]) ).
fof(f957,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f944,f38]) ).
fof(f958,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f945,f72]) ).
fof(f959,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f945,f70]) ).
fof(f960,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f945,f68]) ).
fof(f961,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f945,f74]) ).
fof(f962,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_1,e_1,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f945,f40]) ).
fof(f963,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_1,e_1)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f945,f38]) ).
fof(f964,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f946,f72]) ).
fof(f965,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f946,f70]) ).
fof(f966,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f946,f68]) ).
fof(f967,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f946,f74]) ).
fof(f968,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_1,e_2,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f946,f40]) ).
fof(f969,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_2,e_1)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f946,f38]) ).
fof(f970,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f948,f72]) ).
fof(f971,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f948,f70]) ).
fof(f972,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f948,f68]) ).
fof(f973,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f948,f74]) ).
fof(f974,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_4,e_1,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f948,f40]) ).
fof(f975,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_1,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f948,f38]) ).
fof(f976,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f949,f72]) ).
fof(f977,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f949,f70]) ).
fof(f978,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f949,f68]) ).
fof(f979,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f949,f74]) ).
fof(f980,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_3,e_1,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f949,f40]) ).
fof(f981,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_1,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f949,f38]) ).
fof(f982,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f950,f72]) ).
fof(f983,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f950,f70]) ).
fof(f984,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f950,f68]) ).
fof(f985,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f950,f74]) ).
fof(f986,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f950,f40]) ).
fof(f987,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f950,f38]) ).
fof(f988,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f951,f72]) ).
fof(f991,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f951,f74]) ).
fof(f992,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_5,e_5,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f951,f40]) ).
fof(f993,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_5,e_5)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f951,f38]) ).
fof(f994,plain,
( ~ sQ39_spl
| ~ sQ73_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f952,f944]) ).
fof(f995,plain,
( ~ sQ39_spl
| ~ sQ73_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f953,f944]) ).
fof(f996,plain,
( ~ sQ39_spl
| ~ sQ73_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f954,f944]) ).
fof(f998,plain,
( ~ sQ114_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f958,f945]) ).
fof(f999,plain,
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ39_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f958,f381]) ).
fof(f1002,plain,
( ~ sQ21_spl
| ~ sQ98_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f466,f198]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f466,f72]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f466,f70]) ).
fof(f1005,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f466,f68]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ98_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f466,f74]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ98_spl
| ~ product(e_1,e_4,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f466,f40]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ98_spl
| ~ product(X0,e_4,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f466,f38]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ98_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1002,f72]) ).
fof(f1010,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1002,f70]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ98_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1002,f68]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ98_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1002,f74]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ98_spl
| ~ product(e_2,e_5,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1002,f40]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ98_spl
| ~ product(X0,e_5,e_2)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1002,f38]) ).
fof(f1015,plain,
( ~ sQ21_spl
| ~ sQ98_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1009,f1002]) ).
fof(f1016,plain,
( ~ sQ21_spl
| ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1010,f1002]) ).
fof(f1017,plain,
( ~ sQ119_spl
| ~ sQ21_spl
| ~ sQ98_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1010,f538]) ).
fof(f1018,plain,
( ~ sQ69_spl
| ~ sQ21_spl
| ~ sQ98_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1010,f368]) ).
fof(f1019,plain,
( ~ sQ119_spl
| ~ sQ21_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1017,f48]) ).
fof(f1020,plain,
( ~ sQ119_spl
| ~ sQ21_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1019]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f551,f72]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f551,f70]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f551,f68]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ123_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f551,f74]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(e_1,e_4,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f551,f40]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(X0,e_4,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f551,f38]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ123_spl
| product(e_1,e_5,X0)
| product(e_1,e_3,X0)
| product(e_1,e_2,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f84,f1025]) ).
fof(f1028,plain,
( ~ sQ123_spl
| product(e_1,e_5,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)],[f1027,f45]) ).
fof(f1029,plain,
( ~ sQ123_spl
| product(e_1,e_5,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)],[f1027,f44]) ).
fof(f1030,plain,
( ~ sQ123_spl
| product(e_1,e_5,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)],[f1027,f43]) ).
fof(f1031,plain,
( ~ sQ123_spl
| product(e_1,e_5,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)],[f1027,f42]) ).
fof(f1032,plain,
( ~ sQ123_spl
| product(e_1,e_5,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)],[f1027,f41]) ).
fof(f1033,plain,
( ~ sQ123_spl
| sQ0_spl
| sQ50_spl
| sQ75_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1028,f477,f392,f307,f95,f550]) ).
fof(f1034,plain,
( ~ sQ123_spl
| sQ5_spl
| sQ55_spl
| sQ80_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f1029,f493,f408,f323,f111,f550]) ).
fof(f1035,plain,
( ~ sQ123_spl
| sQ10_spl
| sQ60_spl
| sQ85_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1030,f509,f424,f339,f127,f550]) ).
fof(f1036,plain,
( ~ sQ123_spl
| sQ15_spl
| sQ65_spl
| sQ90_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f1031,f525,f440,f355,f143,f550]) ).
fof(f1037,plain,
( ~ sQ123_spl
| sQ20_spl
| sQ70_spl
| sQ95_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1032,f541,f456,f371,f159,f550]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f280,f72]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f280,f70]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f280,f68]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ43_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f280,f74]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f280,f40]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f280,f38]) ).
fof(f1054,plain,
( ~ sQ43_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1053,f280]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1054,f72]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1054,f70]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1054,f68]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ43_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1054,f74]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1054,f38]) ).
fof(f1062,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1056,f1054]) ).
fof(f1065,plain,
( ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1058,f280]) ).
fof(f1066,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f52]) ).
fof(f1067,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f365,f72]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f365,f70]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f365,f68]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ68_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f365,f74]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(e_2,e_4,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f365,f40]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(X0,e_4,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f365,f38]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f450,f72]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f450,f70]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f68]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ93_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f450,f74]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ93_spl
| ~ product(e_2,e_4,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f40]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ93_spl
| ~ product(X0,e_4,e_2)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f450,f38]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ93_spl
| product(e_2,e_5,X0)
| product(e_2,e_3,X0)
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f83,f1078]) ).
fof(f1081,plain,
( ~ sQ93_spl
| product(e_2,e_5,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)],[f1080,f45]) ).
fof(f1082,plain,
( ~ sQ93_spl
| product(e_2,e_5,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)],[f1080,f44]) ).
fof(f1083,plain,
( ~ sQ93_spl
| product(e_2,e_5,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)],[f1080,f43]) ).
fof(f1084,plain,
( ~ sQ93_spl
| product(e_2,e_5,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)],[f1080,f42]) ).
fof(f1085,plain,
( ~ sQ93_spl
| product(e_2,e_5,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)],[f1080,f41]) ).
fof(f1086,plain,
( ~ sQ93_spl
| sQ1_spl
| sQ51_spl
| sQ76_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1081,f480,f395,f310,f98,f449]) ).
fof(f1087,plain,
( ~ sQ93_spl
| sQ6_spl
| sQ56_spl
| sQ81_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1082,f496,f411,f326,f114,f449]) ).
fof(f1088,plain,
( ~ sQ93_spl
| sQ11_spl
| sQ61_spl
| sQ86_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1083,f512,f427,f342,f130,f449]) ).
fof(f1089,plain,
( ~ sQ93_spl
| sQ16_spl
| sQ66_spl
| sQ91_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1084,f528,f443,f358,f146,f449]) ).
fof(f1090,plain,
( ~ sQ93_spl
| sQ21_spl
| sQ71_spl
| sQ96_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1085,f544,f459,f374,f162,f449]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f535,f72]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f535,f70]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f535,f68]) ).
fof(f1104,plain,
! [X0] :
( ~ sQ118_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f535,f74]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(e_2,e_4,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f535,f40]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(X0,e_4,e_2)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f535,f38]) ).
fof(f1107,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f137,f916]) ).
fof(f1108,plain,
( ~ sQ84_spl
| ~ sQ13_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f137,f871]) ).
fof(f1109,plain,
( ~ sQ59_spl
| ~ sQ13_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f137,f824]) ).
fof(f1110,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f137,f769]) ).
fof(f1111,plain,
( ~ sQ114_spl
| ~ sQ13_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f137,f911]) ).
fof(f1112,plain,
( ~ sQ59_spl
| ~ sQ13_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f137,f823]) ).
fof(f1113,plain,
( ~ sQ69_spl
| ~ sQ13_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f137,f790]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f137,f72]) ).
fof(f1115,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f137,f70]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f137,f68]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ13_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f137,f74]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(e_3,e_4,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f137,f40]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(X0,e_4,e_3)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f137,f38]) ).
fof(f1120,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1107,f942]) ).
fof(f1121,plain,
( ~ sQ23_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1107,f185]) ).
fof(f1122,plain,
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1107,f1071]) ).
fof(f1123,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f1107,f941]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1107,f72]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1107,f70]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1107,f68]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1107,f74]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1107,f40]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1107,f38]) ).
fof(f1130,plain,
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1108,f1105]) ).
fof(f1131,plain,
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1108,f1072]) ).
fof(f1132,plain,
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f1108,f1071]) ).
fof(f1133,plain,
( ~ sQ73_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1108,f941]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1108,f72]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1108,f70]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1108,f68]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1108,f74]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| ~ product(e_3,e_2,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1108,f40]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| ~ product(X0,e_2,e_3)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1108,f38]) ).
fof(f1140,plain,
( ~ sQ68_spl
| ~ sQ59_spl
| ~ sQ13_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1109,f1071]) ).
fof(f1141,plain,
( ~ sQ73_spl
| ~ sQ59_spl
| ~ sQ13_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1109,f941]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1109,f72]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1109,f70]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1109,f68]) ).
fof(f1145,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1109,f74]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| ~ product(e_3,e_3,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1109,f40]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_3)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1109,f38]) ).
fof(f1148,plain,
( ~ sQ118_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1110,f1104]) ).
fof(f1150,plain,
( ~ sQ23_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1110,f186]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1110,f72]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1110,f70]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1110,f68]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1110,f74]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_1,e_3,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1110,f40]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_1)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1110,f38]) ).
fof(f1157,plain,
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1111,f942]) ).
fof(f1158,plain,
( ~ sQ23_spl
| ~ sQ114_spl
| ~ sQ13_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f1111,f185]) ).
fof(f1160,plain,
( ~ sQ23_spl
| ~ sQ114_spl
| ~ sQ13_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1111,f184]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1111,f72]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1111,f70]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1111,f68]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1111,f74]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1111,f40]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1111,f38]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1112,f72]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1112,f70]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1112,f68]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1112,f74]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| ~ product(e_4,e_3,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1112,f40]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1112,f38]) ).
fof(f1173,plain,
( ~ sQ118_spl
| ~ sQ69_spl
| ~ sQ13_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1113,f1106]) ).
fof(f1174,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ13_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1113,f1073]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1113,f72]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1113,f70]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1113,f68]) ).
fof(f1178,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1113,f74]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| ~ product(e_2,e_3,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1113,f40]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1113,f38]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1120,f72]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1120,f70]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1120,f68]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1120,f74]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1120,f40]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1120,f38]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1122,f72]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1122,f70]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1122,f68]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1122,f74]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_2,e_3,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1122,f40]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1122,f38]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1123,f72]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1123,f70]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1123,f68]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1123,f74]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_1,e_3,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1123,f40]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1123,f38]) ).
fof(f1199,plain,
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1130,f197]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1130,f72]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1130,f70]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1130,f68]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1130,f74]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1130,f40]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1130,f38]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1131,f72]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1131,f70]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1131,f68]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1131,f74]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| ~ product(e_3,e_3,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1131,f40]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_3)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1131,f38]) ).
fof(f1214,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1118,f1110]) ).
fof(f1215,plain,
( ~ sQ59_spl
| ~ sQ13_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f1118,f1109]) ).
fof(f1216,plain,
( ~ sQ59_spl
| ~ sQ13_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1215,f351,f136,f335]) ).
fof(f1217,plain,
( ~ sQ68_spl
| ~ sQ38_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f264,f1071]) ).
fof(f1218,plain,
( ~ sQ73_spl
| ~ sQ38_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f264,f941]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f264,f72]) ).
fof(f1220,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f264,f70]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f264,f68]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ38_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f264,f74]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f264,f40]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f264,f38]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f349,f72]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f349,f70]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f349,f68]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ63_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f349,f74]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_3,e_4,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f349,f40]) ).
fof(f1230,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_4,e_3)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f349,f38]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f434,f72]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f434,f70]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f68]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ88_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f434,f74]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ88_spl
| ~ product(e_3,e_4,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f434,f40]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ88_spl
| ~ product(X0,e_4,e_3)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f434,f38]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f519,f72]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f519,f70]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f519,f68]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ113_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f519,f74]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ113_spl
| ~ product(e_3,e_4,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f519,f40]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ113_spl
| ~ product(X0,e_4,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f519,f38]) ).
fof(f1243,plain,
( ~ sQ109_spl
| ~ sQ8_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f121,f916]) ).
fof(f1244,plain,
( ~ sQ84_spl
| ~ sQ8_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f121,f871]) ).
fof(f1245,plain,
( ~ sQ59_spl
| ~ sQ8_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f121,f824]) ).
fof(f1246,plain,
( ~ sQ109_spl
| ~ sQ8_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f121,f917]) ).
fof(f1247,plain,
( ~ sQ84_spl
| ~ sQ8_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f121,f872]) ).
fof(f1248,plain,
( ~ sQ59_spl
| ~ sQ8_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f121,f825]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f121,f72]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f121,f70]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f121,f68]) ).
fof(f1252,plain,
! [X0] :
( ~ sQ8_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f121,f74]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_4,e_4,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f121,f40]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(X0,e_4,e_4)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f121,f38]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f248,f72]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f248,f70]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f248,f68]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ33_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f248,f74]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f333,f72]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f333,f70]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f333,f68]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ58_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f333,f74]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_4,e_4,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f333,f40]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(X0,e_4,e_4)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f333,f38]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f418,f72]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f418,f70]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f68]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ83_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f418,f74]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ83_spl
| ~ product(e_4,e_4,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f418,f40]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ83_spl
| ~ product(X0,e_4,e_4)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f418,f38]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f503,f72]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f503,f70]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f503,f68]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ108_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f503,f74]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ108_spl
| ~ product(e_4,e_4,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f503,f40]) ).
fof(f1278,plain,
! [X0] :
( ~ sQ108_spl
| ~ product(X0,e_4,e_4)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f503,f38]) ).
fof(f1279,plain,
( ~ sQ109_spl
| ~ sQ3_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f105,f916]) ).
fof(f1280,plain,
( ~ sQ84_spl
| ~ sQ3_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f105,f871]) ).
fof(f1281,plain,
( ~ sQ59_spl
| ~ sQ3_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f105,f824]) ).
fof(f1282,plain,
( ~ sQ24_spl
| ~ sQ3_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f105,f178]) ).
fof(f1283,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f105,f72]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f105,f70]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f105,f68]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ3_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f105,f74]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(e_5,e_4,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f105,f40]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(X0,e_4,e_5)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f105,f38]) ).
fof(f1289,plain,
( ~ sQ24_spl
| ~ sQ3_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1282,f298,f104,f171]) ).
fof(f1290,plain,
( ~ sQ118_spl
| ~ sQ47_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f293,f1104]) ).
fof(f1291,plain,
( ~ sQ73_spl
| ~ sQ47_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f293,f943]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f293,f72]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f293,f70]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f293,f68]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ47_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f293,f74]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(e_1,e_3,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f293,f40]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(X0,e_3,e_1)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f293,f38]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f378,f72]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f378,f70]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f378,f68]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ72_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f378,f74]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ72_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f378,f40]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ72_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f378,f38]) ).
fof(f1304,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f463,f198]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f463,f72]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f463,f70]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f463,f68]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ97_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f463,f74]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ97_spl
| ~ product(e_1,e_3,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f463,f40]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ97_spl
| ~ product(X0,e_3,e_1)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f463,f38]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f548,f72]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f548,f70]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f548,f68]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ122_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f548,f74]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(e_1,e_3,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f548,f40]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(X0,e_3,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f548,f38]) ).
fof(f1317,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f150,f910]) ).
fof(f1318,plain,
( ~ sQ119_spl
| ~ sQ17_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f150,f905]) ).
fof(f1319,plain,
( ~ sQ84_spl
| ~ sQ17_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f150,f870]) ).
fof(f1320,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f150,f792]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f150,f72]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f150,f70]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f150,f68]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ17_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f150,f74]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(e_2,e_3,X0)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f150,f40]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(X0,e_3,e_2)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f150,f38]) ).
fof(f1327,plain,
( ~ sQ118_spl
| ~ sQ42_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f277,f1106]) ).
fof(f1328,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f277,f1073]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f277,f72]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f277,f70]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f277,f68]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ42_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f277,f74]) ).
fof(f1333,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,e_3,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f277,f40]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(X0,e_3,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f277,f38]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f362,f72]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f362,f70]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f362,f68]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ67_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f362,f74]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ67_spl
| ~ product(e_2,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f362,f40]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ67_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f362,f38]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f447,f72]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f447,f70]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f447,f68]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ92_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f447,f74]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(e_2,e_3,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f447,f40]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(X0,e_3,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f447,f38]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f532,f72]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f532,f70]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f68]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ117_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f532,f74]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ117_spl
| ~ product(e_2,e_3,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f532,f40]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ117_spl
| ~ product(X0,e_3,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f532,f38]) ).
fof(f1353,plain,
( ~ sQ114_spl
| ~ sQ12_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f134,f910]) ).
fof(f1354,plain,
( ~ sQ114_spl
| ~ sQ12_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f134,f911]) ).
fof(f1355,plain,
( ~ sQ59_spl
| ~ sQ12_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f134,f823]) ).
fof(f1356,plain,
( ~ sQ69_spl
| ~ sQ12_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f134,f790]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f134,f72]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f134,f70]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f134,f68]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ12_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f134,f74]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ12_spl
| ~ product(e_3,e_3,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f134,f40]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ12_spl
| ~ product(X0,e_3,e_3)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f134,f38]) ).
fof(f1363,plain,
( ~ sQ68_spl
| ~ sQ37_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f261,f1071]) ).
fof(f1364,plain,
( ~ sQ73_spl
| ~ sQ37_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f261,f941]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f261,f72]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f261,f70]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f261,f68]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ37_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f261,f74]) ).
fof(f1369,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_3,e_3,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f261,f40]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(X0,e_3,e_3)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f261,f38]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f346,f72]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f346,f70]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f346,f68]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ62_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f346,f74]) ).
fof(f1377,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1243,f942]) ).
fof(f1378,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1243,f72]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1243,f70]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1243,f68]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1243,f74]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| ~ product(e_4,e_1,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1243,f40]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| ~ product(X0,e_1,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1243,f38]) ).
fof(f1384,plain,
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1244,f1105]) ).
fof(f1385,plain,
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1244,f1072]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1244,f72]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1244,f70]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1244,f68]) ).
fof(f1389,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1244,f74]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_4,e_2,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1244,f40]) ).
fof(f1391,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_2,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1244,f38]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1245,f72]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1245,f70]) ).
fof(f1394,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1245,f68]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1245,f74]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ product(e_4,e_3,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1245,f40]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ product(X0,e_3,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1245,f38]) ).
fof(f1398,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1246,f942]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1246,f72]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1246,f70]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1246,f68]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1246,f74]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1246,f40]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1246,f38]) ).
fof(f1405,plain,
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f1247,f1105]) ).
fof(f1406,plain,
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f1247,f1072]) ).
fof(f1407,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1247,f72]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1247,f70]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1247,f68]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1247,f74]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_5,e_2,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1247,f40]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_2,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1247,f38]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1248,f72]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1248,f70]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1248,f68]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1248,f74]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ product(e_5,e_3,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1248,f40]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ product(X0,e_3,e_5)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1248,f38]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1290,f72]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1290,f70]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1290,f68]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1290,f74]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1290,f40]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1290,f38]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1291,f72]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1291,f70]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1291,f68]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1291,f74]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1291,f40]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1291,f38]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1318,f72]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1318,f70]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ17_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1318,f68]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ17_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1318,f74]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ17_spl
| ~ product(e_5,e_1,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1318,f40]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ17_spl
| ~ product(X0,e_1,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1318,f38]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1319,f72]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1319,f70]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1319,f68]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1319,f74]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| ~ product(e_4,e_2,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1319,f40]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| ~ product(X0,e_2,e_4)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1319,f38]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1320,f72]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1320,f68]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1320,f74]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| ~ product(e_5,e_3,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1320,f40]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1320,f38]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1327,f72]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1327,f70]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1327,f68]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1327,f74]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| ~ product(e_4,e_1,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1327,f40]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| ~ product(X0,e_1,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1327,f38]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1353,f72]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1353,f70]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1353,f68]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1353,f74]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| ~ product(e_3,e_1,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1353,f40]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| ~ product(X0,e_1,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1353,f38]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1377,f72]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1377,f70]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1377,f68]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1377,f74]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| ~ product(e_4,e_3,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1377,f40]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| ~ product(X0,e_3,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1377,f38]) ).
fof(f1467,plain,
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1384,f197]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1384,f72]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1384,f70]) ).
fof(f1470,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1384,f68]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1384,f74]) ).
fof(f1472,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_4,e_1,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1384,f40]) ).
fof(f1473,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_1,e_4)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1384,f38]) ).
fof(f1474,plain,
( ~ sQ84_spl
| ~ sQ8_spl
| ~ sQ38_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1222,f1244]) ).
fof(f1475,plain,
( ~ sQ109_spl
| ~ sQ8_spl
| ~ sQ38_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1222,f1243]) ).
fof(f1476,plain,
( ~ sQ59_spl
| ~ sQ8_spl
| ~ sQ38_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f1222,f1245]) ).
fof(f1478,plain,
( ~ sQ59_spl
| ~ sQ8_spl
| ~ sQ38_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f1223,f1248]) ).
fof(f1479,plain,
( ~ sQ59_spl
| ~ sQ8_spl
| ~ sQ38_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f1223,f1245]) ).
fof(f1480,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f1223,f261]) ).
fof(f1481,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1223,f277]) ).
fof(f1482,plain,
( ~ sQ47_spl
| ~ sQ38_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1223,f293]) ).
fof(f1483,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f1224,f261]) ).
fof(f1484,plain,
( ~ sQ38_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1224,f264]) ).
fof(f1486,plain,
( ~ sQ38_spl
| ~ sQ63_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1228,f264]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1385,f72]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1385,f70]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1385,f68]) ).
fof(f1490,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1385,f74]) ).
fof(f1491,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_4,e_3,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1385,f40]) ).
fof(f1492,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_3,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1385,f38]) ).
fof(f1493,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1398,f72]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1398,f70]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1398,f68]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1398,f74]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| ~ product(e_5,e_3,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1398,f40]) ).
fof(f1498,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ8_spl
| ~ product(X0,e_3,e_5)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1398,f38]) ).
fof(f1499,plain,
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f1405,f197]) ).
fof(f1500,plain,
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1405,f196]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1405,f72]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1405,f70]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1405,f68]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1405,f74]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_5,e_1,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1405,f40]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_1,e_5)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1405,f38]) ).
fof(f1507,plain,
( ~ sQ21_spl
| ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1406,f196]) ).
fof(f1508,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1406,f72]) ).
fof(f1509,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1406,f70]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1406,f68]) ).
fof(f1511,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1406,f74]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_5,e_3,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1406,f40]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_3,e_5)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1406,f38]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1478,f72]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1478,f70]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ sQ38_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1478,f68]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ sQ38_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1478,f74]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ sQ38_spl
| ~ product(e_5,e_4,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1478,f40]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ sQ38_spl
| ~ product(X0,e_4,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1478,f38]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1499,f72]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1499,f70]) ).
fof(f1522,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1499,f68]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1499,f74]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_5,e_5,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1499,f40]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_5,e_5)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1499,f38]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1500,f72]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1500,f70]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1500,f68]) ).
fof(f1529,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1500,f74]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_1,e_5,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1500,f40]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_5,e_1)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1500,f38]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1507,f72]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1507,f70]) ).
fof(f1534,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1507,f68]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1507,f74]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_1,e_5,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1507,f40]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_5,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1507,f38]) ).
fof(f1538,plain,
( ~ sQ84_spl
| ~ sQ8_spl
| ~ sQ109_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1378,f1244]) ).
fof(f1539,plain,
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1378,f1243]) ).
fof(f1540,plain,
( ~ sQ59_spl
| ~ sQ8_spl
| ~ sQ109_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1378,f1245]) ).
fof(f1541,plain,
( ~ sQ33_spl
| ~ sQ109_spl
| ~ sQ8_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1378,f248]) ).
fof(f1542,plain,
( ~ sQ84_spl
| ~ sQ8_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1538,f50]) ).
fof(f1543,plain,
( ~ sQ84_spl
| ~ sQ8_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( ~ sQ21_spl
| ~ sQ118_spl
| ~ sQ84_spl
| ~ sQ8_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1467,f505,f120,f420,f534,f162]) ).
fof(f1545,plain,
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f765,f911]) ).
fof(f1546,plain,
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f765,f823]) ).
fof(f1547,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f765,f790]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f765,f74]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f765,f40]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f765,f38]) ).
fof(f1554,plain,
( ~ sQ38_spl
| ~ sQ59_spl
| ~ sQ3_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f1281,f1223]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1281,f72]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1281,f70]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1281,f68]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ3_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1281,f74]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ3_spl
| ~ product(e_5,e_3,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1281,f40]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ3_spl
| ~ product(X0,e_3,e_5)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1281,f38]) ).
fof(f1561,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ3_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1279,f942]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ3_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1279,f72]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1279,f70]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1279,f68]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ3_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1279,f74]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ3_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1279,f40]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ3_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1279,f38]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f1545,f72]) ).
fof(f1569,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1545,f70]) ).
fof(f1570,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1545,f68]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1545,f74]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(e_5,e_1,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1545,f40]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(X0,e_1,e_5)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1545,f38]) ).
fof(f1574,plain,
( ~ sQ114_spl
| ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1546,f910]) ).
fof(f1575,plain,
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f1546,f825]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1546,f72]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1546,f70]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1546,f68]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1546,f74]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(e_4,e_3,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1546,f40]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(X0,e_3,e_4)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1546,f38]) ).
fof(f1582,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ59_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1554,f72]) ).
fof(f1583,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ59_spl
| ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1554,f70]) ).
fof(f1584,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ59_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1554,f68]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ59_spl
| ~ sQ3_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1554,f74]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ59_spl
| ~ sQ3_spl
| ~ product(e_5,e_4,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1554,f40]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ59_spl
| ~ sQ3_spl
| ~ product(X0,e_4,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1554,f38]) ).
fof(f1588,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1561,f72]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ3_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1561,f70]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1561,f68]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ3_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1561,f74]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ3_spl
| ~ product(e_5,e_3,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1561,f40]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ3_spl
| ~ product(X0,e_3,e_5)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1561,f38]) ).
fof(f1594,plain,
( ~ sQ118_spl
| ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1419,f1290]) ).
fof(f1595,plain,
( ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ47_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1419,f362]) ).
fof(f1596,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| ~ sQ47_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1419,f365]) ).
fof(f1597,plain,
( ~ sQ69_spl
| ~ sQ118_spl
| ~ sQ47_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1419,f368]) ).
fof(f1598,plain,
( ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1595,f54]) ).
fof(f1599,plain,
( ~ sQ67_spl
| ~ sQ118_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1598]) ).
fof(f1600,plain,
( ~ sQ73_spl
| ~ sQ38_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1218,f292,f263,f380]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1355,f72]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1355,f70]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1355,f68]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1355,f74]) ).
fof(f1605,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1355,f40]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1355,f38]) ).
fof(f1607,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1317,f72]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1317,f70]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1317,f68]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1317,f74]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1317,f40]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1317,f38]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1574,f72]) ).
fof(f1614,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1574,f70]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1574,f68]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1574,f74]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(e_4,e_1,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1574,f40]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(X0,e_1,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1574,f38]) ).
fof(f1619,plain,
( ~ sQ119_spl
| ~ sQ17_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1431,f1318]) ).
fof(f1620,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| ~ sQ119_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1431,f1320]) ).
fof(f1621,plain,
( ~ sQ38_spl
| ~ sQ59_spl
| ~ sQ3_spl
| ~ sQ119_spl
| ~ sQ17_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1431,f1554]) ).
fof(f1622,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1620,f54]) ).
fof(f1623,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1622]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1354,f72]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1354,f70]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1354,f68]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1354,f74]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| ~ product(e_5,e_1,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1354,f40]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| ~ product(X0,e_1,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1354,f38]) ).
fof(f1641,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1443,f1320]) ).
fof(f1642,plain,
( ~ sQ38_spl
| ~ sQ59_spl
| ~ sQ3_spl
| ~ sQ69_spl
| ~ sQ17_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1443,f1554]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1575,f72]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1575,f70]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1575,f68]) ).
fof(f1648,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1575,f74]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(e_5,e_3,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1575,f40]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1575,f38]) ).
fof(f1651,plain,
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1455,f1353]) ).
fof(f1653,plain,
( ~ sQ63_spl
| ~ sQ114_spl
| ~ sQ12_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1455,f349]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1291,f72]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1291,f74]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1291,f40]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1291,f38]) ).
fof(f1662,plain,
( ~ sQ22_spl
| ~ sQ74_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f773,f765]) ).
fof(f1664,plain,
( ~ sQ22_spl
| ~ sQ74_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f775,f765]) ).
fof(f1665,plain,
( ~ sQ109_spl
| ~ sQ3_spl
| ~ sQ59_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1555,f1279]) ).
fof(f1666,plain,
( ~ sQ59_spl
| ~ sQ3_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1555,f1281]) ).
fof(f1667,plain,
( ~ sQ109_spl
| ~ sQ3_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1665,f47]) ).
fof(f1668,plain,
( ~ sQ109_spl
| ~ sQ3_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1667]) ).
fof(f1670,plain,
( ~ sQ63_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1107,f1228]) ).
fof(f1671,plain,
( ~ sQ38_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1107,f1224]) ).
fof(f1672,plain,
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1107,f1071]) ).
fof(f1673,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f1107,f941]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1107,f74]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1107,f40]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1107,f38]) ).
fof(f1680,plain,
( ~ sQ38_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1110,f1223]) ).
fof(f1681,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1110,f943]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1110,f74]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_1,e_3,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1110,f40]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_1)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1110,f38]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1120,f72]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1120,f70]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1120,f68]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1120,f74]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1120,f40]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1120,f38]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1214,f72]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1214,f70]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1214,f68]) ).
fof(f1697,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1214,f74]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_1,e_5,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1214,f40]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_5,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1214,f38]) ).
fof(f1700,plain,
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1425,f1291]) ).
fof(f1701,plain,
( ~ sQ58_spl
| ~ sQ73_spl
| ~ sQ47_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1425,f333]) ).
fof(f1702,plain,
( ~ sQ58_spl
| ~ sQ73_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1701,f60]) ).
fof(f1703,plain,
( ~ sQ58_spl
| ~ sQ73_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1702]) ).
fof(f1704,plain,
( sQ47_spl
| ~ sQ74_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f294,f1110]) ).
fof(f1705,plain,
( sQ47_spl
| ~ sQ74_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1704]) ).
fof(f1706,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1483,f332,f263,f260]) ).
fof(f1707,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1328,f72]) ).
fof(f1708,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1328,f70]) ).
fof(f1709,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1328,f68]) ).
fof(f1710,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1328,f74]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1328,f40]) ).
fof(f1712,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1328,f38]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1327,f72]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1327,f70]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1327,f68]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1327,f74]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| ~ product(e_4,e_1,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1327,f40]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| ~ product(X0,e_1,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1327,f38]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ63_spl
| product(e_3,e_5,X0)
| product(e_3,e_3,X0)
| product(e_3,e_2,X0)
| product(e_3,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f82,f1229]) ).
fof(f1720,plain,
( ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f1229,f261]) ).
fof(f1721,plain,
( ~ sQ42_spl
| ~ sQ63_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1229,f277]) ).
fof(f1722,plain,
( ~ sQ63_spl
| product(e_3,e_5,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)],[f1719,f45]) ).
fof(f1723,plain,
( ~ sQ63_spl
| product(e_3,e_5,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)],[f1719,f44]) ).
fof(f1724,plain,
( ~ sQ63_spl
| product(e_3,e_5,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)],[f1719,f43]) ).
fof(f1725,plain,
( ~ sQ63_spl
| product(e_3,e_5,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)],[f1719,f42]) ).
fof(f1726,plain,
( ~ sQ63_spl
| product(e_3,e_5,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)],[f1719,f41]) ).
fof(f1727,plain,
( ~ sQ63_spl
| sQ2_spl
| sQ52_spl
| sQ77_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1722,f483,f398,f313,f101,f348]) ).
fof(f1728,plain,
( ~ sQ63_spl
| sQ7_spl
| sQ57_spl
| sQ82_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1723,f499,f414,f329,f117,f348]) ).
fof(f1729,plain,
( ~ sQ63_spl
| sQ12_spl
| sQ62_spl
| sQ87_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1724,f515,f430,f345,f133,f348]) ).
fof(f1730,plain,
( ~ sQ63_spl
| sQ17_spl
| sQ67_spl
| sQ92_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1725,f531,f446,f361,f149,f348]) ).
fof(f1731,plain,
( ~ sQ63_spl
| sQ22_spl
| sQ72_spl
| sQ97_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1726,f547,f462,f377,f165,f348]) ).
fof(f1742,plain,
( ~ sQ42_spl
| ~ sQ88_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1234,f277]) ).
fof(f1743,plain,
( ~ sQ37_spl
| ~ sQ88_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1235,f261]) ).
fof(f1744,plain,
( ~ sQ42_spl
| ~ sQ88_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f1235,f277]) ).
fof(f1745,plain,
( ~ sQ37_spl
| ~ sQ88_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1236,f261]) ).
fof(f1746,plain,
( ~ sQ37_spl
| ~ sQ113_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1241,f261]) ).
fof(f1747,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1241,f277]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1742,f72]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1742,f70]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1742,f68]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1742,f74]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| ~ product(e_3,e_2,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1742,f40]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| ~ product(X0,e_2,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1742,f38]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1744,f72]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1744,f70]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1744,f68]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1744,f74]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| ~ product(e_2,e_2,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1744,f40]) ).
fof(f1759,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ88_spl
| ~ product(X0,e_2,e_2)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1744,f38]) ).
fof(f1760,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1745,f72]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1745,f70]) ).
fof(f1762,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1745,f68]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1745,f74]) ).
fof(f1764,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| ~ product(e_4,e_2,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1745,f40]) ).
fof(f1765,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| ~ product(X0,e_2,e_4)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1745,f38]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1746,f72]) ).
fof(f1767,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1746,f70]) ).
fof(f1768,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1746,f68]) ).
fof(f1769,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1746,f74]) ).
fof(f1770,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| ~ product(e_3,e_1,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1746,f40]) ).
fof(f1771,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| ~ product(X0,e_1,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1746,f38]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1747,f72]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1747,f70]) ).
fof(f1774,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1747,f68]) ).
fof(f1775,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1747,f74]) ).
fof(f1779,plain,
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1449,f1327]) ).
fof(f1780,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| ~ sQ118_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1449,f1328]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1743,f72]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1743,f70]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1743,f68]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1743,f74]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| ~ product(e_3,e_2,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1743,f40]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ88_spl
| ~ product(X0,e_2,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1743,f38]) ).
fof(f1793,plain,
( ~ sQ37_spl
| ~ sQ88_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1760,f1745]) ).
fof(f1794,plain,
( ~ sQ37_spl
| ~ sQ88_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1761,f1745]) ).
fof(f1795,plain,
( ~ sQ37_spl
| ~ sQ88_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1762,f1743]) ).
fof(f1796,plain,
( ~ sQ37_spl
| ~ sQ88_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1762,f1745]) ).
fof(f1797,plain,
( ~ sQ37_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1795,f56]) ).
fof(f1798,plain,
( ~ sQ37_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1797]) ).
fof(f1799,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1780,f54]) ).
fof(f1800,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f1799]) ).
fof(f1802,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1328,f70]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1328,f68]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1747,f74]) ).
fof(f1813,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1708,f1328]) ).
fof(f1814,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1709,f1328]) ).
fof(f1815,plain,
( ~ sQ62_spl
| ~ sQ68_spl
| ~ sQ42_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1709,f346]) ).
fof(f1816,plain,
( ~ sQ67_spl
| ~ sQ68_spl
| ~ sQ42_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1709,f362]) ).
fof(f1817,plain,
( ~ sQ72_spl
| ~ sQ68_spl
| ~ sQ42_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1709,f378]) ).
fof(f1818,plain,
( ~ sQ62_spl
| ~ sQ68_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1815,f56]) ).
fof(f1819,plain,
( ~ sQ62_spl
| ~ sQ68_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1818]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ83_spl
| product(e_5,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(backward_subsumption_resolution,[status(thm)],[f76,f1271]) ).
fof(f1822,plain,
( ~ sQ33_spl
| ~ sQ83_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f1271,f248]) ).
fof(f1823,plain,
( ~ sQ83_spl
| product(e_5,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)],[f1821,f45]) ).
fof(f1824,plain,
( ~ sQ83_spl
| product(e_5,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)],[f1821,f44]) ).
fof(f1825,plain,
( ~ sQ83_spl
| product(e_5,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)],[f1821,f43]) ).
fof(f1826,plain,
( ~ sQ83_spl
| product(e_5,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)],[f1821,f42]) ).
fof(f1827,plain,
( ~ sQ83_spl
| product(e_5,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)],[f1821,f41]) ).
fof(f1828,plain,
( ~ sQ83_spl
| sQ29_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1823,f222,f225,f228,f234,f417]) ).
fof(f1829,plain,
( ~ sQ83_spl
| sQ34_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1824,f238,f241,f244,f250,f417]) ).
fof(f1830,plain,
( ~ sQ83_spl
| sQ39_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1825,f254,f257,f260,f266,f417]) ).
fof(f1831,plain,
( ~ sQ83_spl
| sQ44_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1826,f270,f273,f276,f282,f417]) ).
fof(f1832,plain,
( ~ sQ83_spl
| sQ49_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1827,f286,f289,f292,f298,f417]) ).
fof(f1843,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1746,f72]) ).
fof(f1844,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1746,f70]) ).
fof(f1845,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1746,f68]) ).
fof(f1846,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1746,f74]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| ~ product(e_3,e_1,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1746,f40]) ).
fof(f1848,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ113_spl
| ~ product(X0,e_1,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1746,f38]) ).
fof(f1849,plain,
( ~ sQ37_spl
| ~ sQ113_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1766,f1746]) ).
fof(f1850,plain,
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ113_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1766,f346]) ).
fof(f1851,plain,
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1850,f54]) ).
fof(f1852,plain,
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1851]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1747,f74]) ).
fof(f1859,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1772,f1747]) ).
fof(f1860,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1773,f1747]) ).
fof(f1861,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1774,f1747]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ108_spl
| product(e_5,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(backward_subsumption_resolution,[status(thm)],[f76,f1277]) ).
fof(f1863,plain,
( ~ sQ33_spl
| ~ sQ108_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f1277,f248]) ).
fof(f1864,plain,
( ~ sQ108_spl
| product(e_5,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)],[f1862,f45]) ).
fof(f1865,plain,
( ~ sQ108_spl
| product(e_5,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)],[f1862,f44]) ).
fof(f1866,plain,
( ~ sQ108_spl
| product(e_5,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)],[f1862,f43]) ).
fof(f1867,plain,
( ~ sQ108_spl
| product(e_5,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)],[f1862,f42]) ).
fof(f1868,plain,
( ~ sQ108_spl
| product(e_5,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)],[f1862,f41]) ).
fof(f1869,plain,
( ~ sQ108_spl
| sQ29_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1864,f222,f225,f228,f234,f502]) ).
fof(f1870,plain,
( ~ sQ108_spl
| sQ34_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1865,f238,f241,f244,f250,f502]) ).
fof(f1871,plain,
( ~ sQ108_spl
| sQ39_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1866,f254,f257,f260,f266,f502]) ).
fof(f1872,plain,
( ~ sQ108_spl
| sQ44_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1867,f270,f273,f276,f282,f502]) ).
fof(f1873,plain,
( ~ sQ108_spl
| sQ49_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1868,f286,f289,f292,f298,f502]) ).
fof(f1874,plain,
( ~ sQ68_spl
| ~ sQ37_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1363,f361,f260,f364]) ).
fof(f1875,plain,
( ~ sQ72_spl
| ~ sQ68_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1817,f48]) ).
fof(f1876,plain,
( ~ sQ72_spl
| ~ sQ68_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1875]) ).
fof(f1887,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ118_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1327,f1774]) ).
fof(f1888,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1327,f72]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1327,f70]) ).
fof(f1890,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1327,f68]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1327,f74]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| ~ product(e_4,e_1,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1327,f40]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| ~ product(X0,e_1,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1327,f38]) ).
fof(f1894,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1887,f59]) ).
fof(f1895,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f1894]) ).
fof(f1906,plain,
( ~ sQ72_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f1303,f378]) ).
fof(f1907,plain,
( ~ sQ72_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1906,f345,f377]) ).
fof(f1918,plain,
( ~ sQ72_spl
| ~ sQ118_spl
| ~ sQ47_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1290,f1302]) ).
fof(f1922,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1290,f74]) ).
fof(f1923,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1290,f40]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1290,f38]) ).
fof(f1926,plain,
( ~ sQ118_spl
| ~ sQ47_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1421,f1290]) ).
fof(f1927,plain,
( ~ sQ118_spl
| ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1420,f1290]) ).
fof(f1928,plain,
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f1308,f1290]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1928,f72]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1928,f70]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1928,f68]) ).
fof(f1932,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1928,f74]) ).
fof(f1933,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| ~ product(e_1,e_2,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1928,f40]) ).
fof(f1934,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| ~ product(X0,e_2,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1928,f38]) ).
fof(f1936,plain,
( ~ sQ122_spl
| ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1929,f548]) ).
fof(f1937,plain,
( ~ sQ122_spl
| ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1936,f55]) ).
fof(f1938,plain,
( ~ sQ122_spl
| ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f1937]) ).
fof(f1949,plain,
( ~ sQ72_spl
| ~ sQ122_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1314,f378]) ).
fof(f1951,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f1949,f1314]) ).
fof(f1952,plain,
( ~ sQ72_spl
| ~ sQ122_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1949,f1303]) ).
fof(f1953,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1949,f72]) ).
fof(f1954,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1949,f70]) ).
fof(f1955,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1949,f68]) ).
fof(f1956,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1949,f74]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| ~ product(e_1,e_1,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1949,f40]) ).
fof(f1958,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| ~ product(X0,e_1,e_1)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1949,f38]) ).
fof(f1959,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1951,f72]) ).
fof(f1960,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1951,f70]) ).
fof(f1961,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1951,f68]) ).
fof(f1962,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1951,f74]) ).
fof(f1964,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1951,f38]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1952,f72]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1952,f70]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1952,f68]) ).
fof(f1968,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1952,f74]) ).
fof(f1969,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1952,f40]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ122_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1952,f38]) ).
fof(f1971,plain,
( ~ sQ72_spl
| ~ sQ122_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1953,f1949]) ).
fof(f1972,plain,
( ~ sQ72_spl
| ~ sQ122_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1953,f378]) ).
fof(f1973,plain,
( ~ sQ72_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1972,f54]) ).
fof(f1974,plain,
( ~ sQ72_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f1975,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ92_spl
| product(e_2,e_5,X0)
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1080,f1345]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ92_spl
| product(e_2,e_4,X0)
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f840,f1345]) ).
fof(f1977,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| product(e_2,e_5,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1975,f45]) ).
fof(f1978,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| product(e_2,e_5,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1975,f44]) ).
fof(f1979,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| product(e_2,e_5,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1975,f43]) ).
fof(f1980,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| product(e_2,e_5,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1975,f42]) ).
fof(f1981,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| product(e_2,e_5,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f1975,f41]) ).
fof(f1982,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| sQ1_spl
| sQ76_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1977,f480,f395,f98,f446,f449]) ).
fof(f1983,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| sQ6_spl
| sQ81_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1978,f496,f411,f114,f446,f449]) ).
fof(f1984,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| sQ11_spl
| sQ86_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1979,f512,f427,f130,f446,f449]) ).
fof(f1985,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| sQ16_spl
| sQ91_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1980,f528,f443,f146,f446,f449]) ).
fof(f1986,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| sQ21_spl
| sQ96_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1981,f544,f459,f162,f446,f449]) ).
fof(f1997,plain,
( ~ sQ72_spl
| ~ sQ117_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1350,f378]) ).
fof(f1998,plain,
( ~ sQ72_spl
| ~ sQ22_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f192,f378]) ).
fof(f1999,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| ~ sQ117_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f1997,f191]) ).
fof(f2001,plain,
( ~ sQ117_spl
| ~ sQ72_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1997,f1352]) ).
fof(f2002,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1997,f72]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1997,f70]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1997,f68]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1997,f74]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1997,f40]) ).
fof(f2007,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1997,f38]) ).
fof(f2008,plain,
( ~ sQ72_spl
| ~ sQ22_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f1998,f1301]) ).
fof(f2009,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1998,f72]) ).
fof(f2010,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1998,f70]) ).
fof(f2011,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1998,f68]) ).
fof(f2012,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1998,f74]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_3,e_5,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1998,f40]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_5,e_3)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1998,f38]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1999,f72]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1999,f70]) ).
fof(f2017,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1999,f68]) ).
fof(f2018,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| ~ sQ117_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1999,f74]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| ~ sQ117_spl
| ~ product(e_2,e_5,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1999,f40]) ).
fof(f2020,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| ~ sQ117_spl
| ~ product(X0,e_5,e_2)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1999,f38]) ).
fof(f2021,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2001,f72]) ).
fof(f2022,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2001,f70]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2001,f68]) ).
fof(f2024,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f2001,f74]) ).
fof(f2025,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2001,f40]) ).
fof(f2026,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f2001,f38]) ).
fof(f2027,plain,
( ~ sQ109_spl
| ~ sQ72_spl
| ~ sQ22_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f2008,f915]) ).
fof(f2028,plain,
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f2008,f691]) ).
fof(f2029,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2008,f72]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2008,f70]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2008,f68]) ).
fof(f2035,plain,
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ72_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f2027,f191]) ).
fof(f2036,plain,
( ~ sQ72_spl
| ~ sQ109_spl
| ~ sQ22_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f2027,f1302]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2027,f72]) ).
fof(f2038,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2027,f70]) ).
fof(f2039,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2027,f68]) ).
fof(f2040,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ72_spl
| ~ sQ22_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2027,f74]) ).
fof(f2041,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_4,e_1,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2027,f40]) ).
fof(f2042,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_1,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2027,f38]) ).
fof(f2043,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f2028,f190]) ).
fof(f2044,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2028,f72]) ).
fof(f2045,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2028,f70]) ).
fof(f2046,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2028,f68]) ).
fof(f2047,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2028,f74]) ).
fof(f2048,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2028,f40]) ).
fof(f2049,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_4,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2028,f38]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ72_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2035,f72]) ).
fof(f2051,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2035,f70]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2035,f68]) ).
fof(f2056,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ109_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2036,f72]) ).
fof(f2057,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ109_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2036,f70]) ).
fof(f2058,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ109_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2036,f68]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ109_spl
| ~ sQ22_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2036,f74]) ).
fof(f2060,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ109_spl
| ~ sQ22_spl
| ~ product(e_4,e_3,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2036,f40]) ).
fof(f2061,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ109_spl
| ~ sQ22_spl
| ~ product(X0,e_3,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2036,f38]) ).
fof(f2062,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2043,f72]) ).
fof(f2063,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f2043,f70]) ).
fof(f2064,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2043,f68]) ).
fof(f2068,plain,
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2002,f1997]) ).
fof(f2069,plain,
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2003,f1997]) ).
fof(f2070,plain,
( ~ sQ109_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ sQ117_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2004,f2027]) ).
fof(f2071,plain,
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2004,f1997]) ).
fof(f2072,plain,
( ~ sQ109_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f59]) ).
fof(f2073,plain,
( ~ sQ109_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f2072]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f431,f72]) ).
fof(f2075,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f431,f70]) ).
fof(f2076,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f431,f68]) ).
fof(f2077,plain,
! [X0] :
( ~ sQ87_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f431,f74]) ).
fof(f2078,plain,
! [X0] :
( ~ sQ87_spl
| ~ product(e_3,e_3,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f431,f40]) ).
fof(f2079,plain,
! [X0] :
( ~ sQ87_spl
| ~ product(X0,e_3,e_3)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f431,f38]) ).
fof(f2080,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f516,f72]) ).
fof(f2081,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f516,f70]) ).
fof(f2082,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f68]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ112_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f516,f74]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ112_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f516,f40]) ).
fof(f2085,plain,
! [X0] :
( ~ sQ112_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f516,f38]) ).
fof(f2086,plain,
( ~ sQ89_spl
| ~ sQ7_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f118,f865]) ).
fof(f2087,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f118,f917]) ).
fof(f2088,plain,
( ~ sQ49_spl
| ~ sQ7_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f118,f689]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f118,f72]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f118,f70]) ).
fof(f2091,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f118,f68]) ).
fof(f2092,plain,
! [X0] :
( ~ sQ7_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f118,f74]) ).
fof(f2093,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_4,e_3,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f118,f40]) ).
fof(f2094,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(X0,e_3,e_4)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f118,f38]) ).
fof(f2095,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f245,f1258]) ).
fof(f2096,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f245,f72]) ).
fof(f2097,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f245,f70]) ).
fof(f2098,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f245,f68]) ).
fof(f2099,plain,
! [X0] :
( ~ sQ32_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f245,f74]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_4,e_3,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f245,f40]) ).
fof(f2101,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(X0,e_3,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f245,f38]) ).
fof(f2102,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f330,f72]) ).
fof(f2103,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f330,f70]) ).
fof(f2104,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f330,f68]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ57_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f330,f74]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f330,f40]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f330,f38]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f415,f72]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f415,f70]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f415,f68]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ82_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f415,f74]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(e_4,e_3,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f415,f40]) ).
fof(f2113,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(X0,e_3,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f415,f38]) ).
fof(f2114,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f500,f72]) ).
fof(f2115,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f500,f70]) ).
fof(f2116,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f68]) ).
fof(f2117,plain,
! [X0] :
( ~ sQ107_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f500,f74]) ).
fof(f2118,plain,
! [X0] :
( ~ sQ107_spl
| ~ product(e_4,e_3,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f500,f40]) ).
fof(f2119,plain,
! [X0] :
( ~ sQ107_spl
| ~ product(X0,e_3,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f500,f38]) ).
fof(f2120,plain,
( ~ sQ89_spl
| ~ sQ2_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f102,f865]) ).
fof(f2121,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f102,f72]) ).
fof(f2122,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f102,f70]) ).
fof(f2123,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f102,f68]) ).
fof(f2124,plain,
! [X0] :
( ~ sQ2_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f102,f74]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(e_5,e_3,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f102,f40]) ).
fof(f2126,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(X0,e_3,e_5)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f102,f38]) ).
fof(f2127,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f290,f1008]) ).
fof(f2128,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f290,f72]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f290,f70]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f290,f68]) ).
fof(f2131,plain,
! [X0] :
( ~ sQ46_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f290,f74]) ).
fof(f2132,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_1,e_2,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f290,f40]) ).
fof(f2133,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(X0,e_2,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f290,f38]) ).
fof(f2134,plain,
( ~ sQ117_spl
| ~ sQ71_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f375,f1351]) ).
fof(f2135,plain,
( ~ sQ22_spl
| ~ sQ71_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f375,f192]) ).
fof(f2136,plain,
( ~ sQ117_spl
| ~ sQ71_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f375,f1350]) ).
fof(f2137,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f375,f72]) ).
fof(f2138,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f375,f70]) ).
fof(f2139,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f375,f68]) ).
fof(f2140,plain,
! [X0] :
( ~ sQ71_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f375,f74]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ71_spl
| ~ product(e_1,e_2,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f375,f40]) ).
fof(f2142,plain,
! [X0] :
( ~ sQ71_spl
| ~ product(X0,e_2,e_1)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f375,f38]) ).
fof(f2143,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f460,f72]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f460,f70]) ).
fof(f2145,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f460,f68]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ96_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f460,f74]) ).
fof(f2147,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f460,f40]) ).
fof(f2148,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f460,f38]) ).
fof(f2149,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f545,f72]) ).
fof(f2150,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f545,f70]) ).
fof(f2151,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f545,f68]) ).
fof(f2152,plain,
! [X0] :
( ~ sQ121_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f545,f74]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ121_spl
| ~ product(e_1,e_2,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f545,f40]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ121_spl
| ~ product(X0,e_2,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f545,f38]) ).
fof(f2155,plain,
( ~ sQ89_spl
| ~ sQ16_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f147,f864]) ).
fof(f2156,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f147,f72]) ).
fof(f2157,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f147,f70]) ).
fof(f2158,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f147,f68]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ16_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f147,f74]) ).
fof(f2160,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(e_2,e_2,X0)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f147,f40]) ).
fof(f2161,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(X0,e_2,e_2)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f147,f38]) ).
fof(f2162,plain,
( ~ sQ98_spl
| ~ sQ41_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f274,f1006]) ).
fof(f2163,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f274,f72]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f274,f70]) ).
fof(f2165,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f274,f68]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ41_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f274,f74]) ).
fof(f2167,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(e_2,e_2,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f274,f40]) ).
fof(f2168,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(X0,e_2,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f274,f38]) ).
fof(f2169,plain,
( ~ sQ117_spl
| ~ sQ66_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f359,f1351]) ).
fof(f2170,plain,
( ~ sQ117_spl
| ~ sQ66_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f359,f1352]) ).
fof(f2171,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f359,f72]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f359,f70]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f359,f68]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ66_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f359,f74]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ66_spl
| ~ product(e_2,e_2,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f359,f40]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ66_spl
| ~ product(X0,e_2,e_2)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f359,f38]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f444,f72]) ).
fof(f2178,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f444,f70]) ).
fof(f2179,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f444,f68]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ91_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f444,f74]) ).
fof(f2183,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f529,f72]) ).
fof(f2184,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f529,f70]) ).
fof(f2185,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f529,f68]) ).
fof(f2186,plain,
! [X0] :
( ~ sQ116_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f529,f74]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ116_spl
| ~ product(e_2,e_2,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f529,f40]) ).
fof(f2188,plain,
! [X0] :
( ~ sQ116_spl
| ~ product(X0,e_2,e_2)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f529,f38]) ).
fof(f2189,plain,
( ~ sQ89_spl
| ~ sQ11_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f131,f866]) ).
fof(f2190,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f131,f72]) ).
fof(f2191,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f131,f70]) ).
fof(f2192,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f131,f68]) ).
fof(f2193,plain,
! [X0] :
( ~ sQ11_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f131,f74]) ).
fof(f2194,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_3,e_2,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f131,f40]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(X0,e_2,e_3)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f131,f38]) ).
fof(f2196,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f258,f72]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f258,f70]) ).
fof(f2198,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f258,f68]) ).
fof(f2199,plain,
! [X0] :
( ~ sQ36_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f258,f74]) ).
fof(f2200,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(e_3,e_2,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f258,f40]) ).
fof(f2201,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(X0,e_2,e_3)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f258,f38]) ).
fof(f2202,plain,
( ~ sQ117_spl
| ~ sQ61_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f343,f1351]) ).
fof(f2203,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f343,f72]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f343,f70]) ).
fof(f2205,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f68]) ).
fof(f2207,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_3,e_2,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f40]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f428,f72]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f428,f70]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f428,f68]) ).
fof(f2212,plain,
! [X0] :
( ~ sQ86_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f428,f74]) ).
fof(f2213,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f428,f40]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f428,f38]) ).
fof(f2215,plain,
( ~ sQ117_spl
| ~ sQ89_spl
| ~ sQ7_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f2086,f1351]) ).
fof(f2216,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ7_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2086,f72]) ).
fof(f2217,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2086,f70]) ).
fof(f2218,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2086,f68]) ).
fof(f2219,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ7_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2086,f74]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ7_spl
| ~ product(e_4,e_2,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2086,f40]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ7_spl
| ~ product(X0,e_2,e_4)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2086,f38]) ).
fof(f2222,plain,
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f2087,f191]) ).
fof(f2223,plain,
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f2087,f190]) ).
fof(f2224,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2087,f72]) ).
fof(f2225,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f2087,f70]) ).
fof(f2226,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2087,f68]) ).
fof(f2227,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2087,f74]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| ~ product(e_5,e_1,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2087,f40]) ).
fof(f2229,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| ~ product(X0,e_1,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2087,f38]) ).
fof(f2230,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f2088,f192]) ).
fof(f2231,plain,
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f2088,f1350]) ).
fof(f2232,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2088,f72]) ).
fof(f2233,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2088,f70]) ).
fof(f2234,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2088,f68]) ).
fof(f2235,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2088,f74]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| ~ product(e_1,e_4,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2088,f40]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| ~ product(X0,e_4,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2088,f38]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2095,f72]) ).
fof(f2239,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f2095,f70]) ).
fof(f2240,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2095,f68]) ).
fof(f2241,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ32_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2095,f74]) ).
fof(f2242,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ32_spl
| ~ product(e_4,e_4,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2095,f40]) ).
fof(f2243,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ32_spl
| ~ product(X0,e_4,e_4)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2095,f38]) ).
fof(f2244,plain,
( ~ sQ117_spl
| ~ sQ89_spl
| ~ sQ2_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f2120,f1351]) ).
fof(f2245,plain,
( ~ sQ22_spl
| ~ sQ89_spl
| ~ sQ2_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f2120,f190]) ).
fof(f2246,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2120,f72]) ).
fof(f2247,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2120,f70]) ).
fof(f2248,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2120,f68]) ).
fof(f2249,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2120,f74]) ).
fof(f2250,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2120,f40]) ).
fof(f2251,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2120,f38]) ).
fof(f2252,plain,
( ~ sQ22_spl
| ~ sQ89_spl
| ~ sQ2_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f2245,f468,f101,f436,f165]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2127,f72]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2127,f70]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2127,f68]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2127,f74]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2127,f40]) ).
fof(f2258,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2127,f38]) ).
fof(f2259,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2134,f72]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f2134,f70]) ).
fof(f2261,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2134,f68]) ).
fof(f2262,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2134,f74]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| ~ product(e_1,e_1,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2134,f40]) ).
fof(f2264,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| ~ product(X0,e_1,e_1)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2134,f38]) ).
fof(f2265,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ71_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2135,f72]) ).
fof(f2266,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2135,f70]) ).
fof(f2267,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2135,f68]) ).
fof(f2268,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ71_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2135,f74]) ).
fof(f2269,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2135,f40]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ71_spl
| ~ product(X0,e_5,e_3)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2135,f38]) ).
fof(f2271,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2136,f72]) ).
fof(f2272,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2136,f70]) ).
fof(f2273,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2136,f68]) ).
fof(f2274,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2136,f74]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| ~ product(e_2,e_1,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2136,f40]) ).
fof(f2276,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ71_spl
| ~ product(X0,e_1,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2136,f38]) ).
fof(f2277,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2170,f72]) ).
fof(f2278,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2170,f70]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2170,f68]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2170,f74]) ).
fof(f2281,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| ~ product(e_3,e_1,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2170,f40]) ).
fof(f2282,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| ~ product(X0,e_1,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2170,f38]) ).
fof(f2283,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2222,f72]) ).
fof(f2284,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f2222,f70]) ).
fof(f2285,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2222,f68]) ).
fof(f2286,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2222,f74]) ).
fof(f2287,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2222,f40]) ).
fof(f2288,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| ~ product(X0,e_5,e_5)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f2222,f38]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f2223,f72]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f2223,f70]) ).
fof(f2291,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2223,f68]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2223,f74]) ).
fof(f2293,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| ~ product(e_1,e_5,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2223,f40]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| ~ product(X0,e_5,e_1)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f2223,f38]) ).
fof(f2295,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2230,f72]) ).
fof(f2296,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2230,f70]) ).
fof(f2297,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2230,f68]) ).
fof(f2298,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2230,f74]) ).
fof(f2299,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| ~ product(e_3,e_5,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2230,f40]) ).
fof(f2300,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| ~ product(X0,e_5,e_3)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2230,f38]) ).
fof(f2301,plain,
( ~ sQ98_spl
| ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f2231,f1007]) ).
fof(f2302,plain,
( ~ sQ98_spl
| ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2231,f1006]) ).
fof(f2303,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2231,f72]) ).
fof(f2304,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2231,f70]) ).
fof(f2305,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2231,f68]) ).
fof(f2306,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2231,f74]) ).
fof(f2307,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| ~ product(e_2,e_1,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2231,f40]) ).
fof(f2308,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| ~ product(X0,e_1,e_2)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2231,f38]) ).
fof(f2309,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2224,f2087]) ).
fof(f2310,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2225,f2087]) ).
fof(f2311,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2226,f2087]) ).
fof(f2312,plain,
( ~ sQ71_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2232,f375]) ).
fof(f2313,plain,
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2232,f2088]) ).
fof(f2314,plain,
( ~ sQ71_spl
| ~ sQ49_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2312,f52]) ).
fof(f2315,plain,
( ~ sQ71_spl
| ~ sQ49_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2314]) ).
fof(f2326,plain,
( ~ sQ32_spl
| ~ sQ48_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f922,f245]) ).
fof(f2327,plain,
( ~ sQ33_spl
| ~ sQ48_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f922,f248]) ).
fof(f2328,plain,
( ~ sQ46_spl
| ~ sQ48_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f924,f290]) ).
fof(f2329,plain,
( ~ sQ109_spl
| ~ sQ18_spl
| ~ sQ44_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f717,f917]) ).
fof(f2330,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f717,f72]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f717,f70]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f717,f68]) ).
fof(f2333,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f717,f74]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f717,f40]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f717,f38]) ).
fof(f2336,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| ~ sQ48_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f2326,f192]) ).
fof(f2337,plain,
( ~ sQ117_spl
| ~ sQ32_spl
| ~ sQ48_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f2326,f1350]) ).
fof(f2338,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2326,f72]) ).
fof(f2339,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2326,f70]) ).
fof(f2340,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2326,f68]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ48_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2326,f74]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ48_spl
| ~ product(e_1,e_4,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2326,f40]) ).
fof(f2343,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ48_spl
| ~ product(X0,e_4,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2326,f38]) ).
fof(f2345,plain,
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f2327,f1008]) ).
fof(f2346,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2327,f72]) ).
fof(f2347,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2327,f70]) ).
fof(f2348,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2327,f68]) ).
fof(f2352,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2328,f72]) ).
fof(f2353,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f2328,f70]) ).
fof(f2354,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2328,f68]) ).
fof(f2355,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ48_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2328,f74]) ).
fof(f2356,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ48_spl
| ~ product(e_4,e_4,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2328,f40]) ).
fof(f2357,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ48_spl
| ~ product(X0,e_4,e_4)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2328,f38]) ).
fof(f2358,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| ~ sQ18_spl
| ~ sQ44_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2329,f2225]) ).
fof(f2359,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2329,f72]) ).
fof(f2360,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f2329,f70]) ).
fof(f2361,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2329,f68]) ).
fof(f2362,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ18_spl
| ~ sQ44_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2329,f74]) ).
fof(f2363,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ18_spl
| ~ sQ44_spl
| ~ product(e_5,e_1,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f2329,f40]) ).
fof(f2364,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ18_spl
| ~ sQ44_spl
| ~ product(X0,e_1,e_5)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f2329,f38]) ).
fof(f2365,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| ~ sQ18_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2358,f64]) ).
fof(f2366,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| ~ sQ18_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2365]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2336,f72]) ).
fof(f2368,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2336,f70]) ).
fof(f2369,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2336,f68]) ).
fof(f2370,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| ~ sQ48_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2336,f74]) ).
fof(f2371,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| ~ sQ48_spl
| ~ product(e_3,e_5,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2336,f40]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| ~ sQ48_spl
| ~ product(X0,e_5,e_3)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2336,f38]) ).
fof(f2373,plain,
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ32_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2337,f923]) ).
fof(f2374,plain,
( ~ sQ98_spl
| ~ sQ117_spl
| ~ sQ32_spl
| ~ sQ48_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f2337,f1007]) ).
fof(f2375,plain,
( ~ sQ98_spl
| ~ sQ117_spl
| ~ sQ32_spl
| ~ sQ48_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2337,f1006]) ).
fof(f2376,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2337,f72]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2337,f70]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2337,f68]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ32_spl
| ~ sQ48_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2337,f74]) ).
fof(f2380,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ32_spl
| ~ sQ48_spl
| ~ product(e_2,e_1,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2337,f40]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ32_spl
| ~ sQ48_spl
| ~ product(X0,e_1,e_2)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2337,f38]) ).
fof(f2382,plain,
( ~ sQ48_spl
| ~ sQ98_spl
| ~ sQ33_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f2345,f922]) ).
fof(f2383,plain,
( ~ sQ33_spl
| ~ sQ98_spl
| ~ sQ48_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f2345,f1258]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f2345,f72]) ).
fof(f2385,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2345,f70]) ).
fof(f2386,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2345,f68]) ).
fof(f2387,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2345,f74]) ).
fof(f2388,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| ~ product(e_4,e_2,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2345,f40]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| ~ product(X0,e_2,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2345,f38]) ).
fof(f2390,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2373,f72]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2373,f70]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2373,f68]) ).
fof(f2393,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ32_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2373,f74]) ).
fof(f2394,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ32_spl
| ~ product(e_2,e_4,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2373,f40]) ).
fof(f2395,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ32_spl
| ~ product(X0,e_4,e_2)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2373,f38]) ).
fof(f2396,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ98_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2382,f72]) ).
fof(f2397,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ98_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2382,f70]) ).
fof(f2398,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ98_spl
| ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2382,f68]) ).
fof(f2403,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2238,f2095]) ).
fof(f2407,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2239,f2095]) ).
fof(f2408,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2239,f248]) ).
fof(f2411,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2253,f2127]) ).
fof(f2412,plain,
( ~ sQ82_spl
| ~ sQ98_spl
| ~ sQ46_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2253,f415]) ).
fof(f2413,plain,
( ~ sQ46_spl
| ~ sQ48_spl
| ~ sQ98_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2253,f2328]) ).
fof(f2414,plain,
( ~ sQ82_spl
| ~ sQ98_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2412,f55]) ).
fof(f2415,plain,
( ~ sQ82_spl
| ~ sQ98_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2414]) ).
fof(f2416,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2408,f60]) ).
fof(f2417,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2416]) ).
fof(f2418,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ98_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2383,f72]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ98_spl
| ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f2383,f70]) ).
fof(f2420,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ98_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2383,f68]) ).
fof(f2421,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ98_spl
| ~ sQ48_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2383,f74]) ).
fof(f2422,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ98_spl
| ~ sQ48_spl
| ~ product(e_4,e_4,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2383,f40]) ).
fof(f2423,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ98_spl
| ~ sQ48_spl
| ~ product(X0,e_4,e_4)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2383,f38]) ).
fof(f2424,plain,
( ~ sQ48_spl
| ~ sQ33_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f2327,f924]) ).
fof(f2426,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2327,f72]) ).
fof(f2427,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2327,f70]) ).
fof(f2428,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2327,f68]) ).
fof(f2433,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f2345,f72]) ).
fof(f2434,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2345,f70]) ).
fof(f2435,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2345,f68]) ).
fof(f2436,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2345,f74]) ).
fof(f2437,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| ~ product(e_4,e_2,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2345,f40]) ).
fof(f2438,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ48_spl
| ~ product(X0,e_2,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2345,f38]) ).
fof(f2439,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ98_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2382,f72]) ).
fof(f2440,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ98_spl
| ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2382,f70]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ98_spl
| ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2382,f68]) ).
fof(f2446,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f2424,f72]) ).
fof(f2447,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f2424,f70]) ).
fof(f2448,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2424,f68]) ).
fof(f2452,plain,
( ~ sQ48_spl
| ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ117_spl
| ~ sQ71_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2259,f2382]) ).
fof(f2453,plain,
( ~ sQ117_spl
| ~ sQ71_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2259,f2134]) ).
fof(f2454,plain,
( ~ sQ96_spl
| ~ sQ117_spl
| ~ sQ71_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2259,f460]) ).
fof(f2455,plain,
( ~ sQ48_spl
| ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ117_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2452,f58]) ).
fof(f2456,plain,
( ~ sQ48_spl
| ~ sQ98_spl
| ~ sQ33_spl
| ~ sQ117_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2455]) ).
fof(f2457,plain,
( ~ sQ21_spl
| ~ sQ98_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1002,f282,f465,f162]) ).
fof(f2471,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2088,f70]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2088,f68]) ).
fof(f2473,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2088,f74]) ).
fof(f2474,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| ~ product(e_1,e_4,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2088,f40]) ).
fof(f2475,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| ~ product(X0,e_4,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2088,f38]) ).
fof(f2476,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2230,f72]) ).
fof(f2477,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2230,f70]) ).
fof(f2478,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2230,f68]) ).
fof(f2479,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2230,f74]) ).
fof(f2480,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| ~ product(e_3,e_5,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2230,f40]) ).
fof(f2481,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| ~ product(X0,e_5,e_3)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2230,f38]) ).
fof(f2482,plain,
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2231,f923]) ).
fof(f2483,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2231,f72]) ).
fof(f2484,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2231,f70]) ).
fof(f2485,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2231,f68]) ).
fof(f2486,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2231,f74]) ).
fof(f2487,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| ~ product(e_2,e_1,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2231,f40]) ).
fof(f2488,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| ~ product(X0,e_1,e_2)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2231,f38]) ).
fof(f2489,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2169,f72]) ).
fof(f2490,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2169,f70]) ).
fof(f2491,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2169,f68]) ).
fof(f2492,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2169,f74]) ).
fof(f2493,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| ~ product(e_2,e_1,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2169,f40]) ).
fof(f2494,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| ~ product(X0,e_1,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2169,f38]) ).
fof(f2495,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2482,f72]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2482,f70]) ).
fof(f2497,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2482,f68]) ).
fof(f2498,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2482,f74]) ).
fof(f2499,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| ~ product(e_2,e_4,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2482,f40]) ).
fof(f2500,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| ~ product(X0,e_4,e_2)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2482,f38]) ).
fof(f2501,plain,
( ~ sQ117_spl
| ~ sQ66_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2277,f2170]) ).
fof(f2503,plain,
( ~ sQ87_spl
| ~ sQ117_spl
| ~ sQ66_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2277,f431]) ).
fof(f2506,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2202,f72]) ).
fof(f2507,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2202,f70]) ).
fof(f2508,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2202,f68]) ).
fof(f2509,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ61_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2202,f74]) ).
fof(f2510,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ61_spl
| ~ product(e_3,e_1,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2202,f40]) ).
fof(f2511,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ61_spl
| ~ product(X0,e_1,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2202,f38]) ).
fof(f2512,plain,
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2233,f2088]) ).
fof(f2513,plain,
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2234,f2088]) ).
fof(f2514,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2295,f2230]) ).
fof(f2515,plain,
( ~ sQ36_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2295,f258]) ).
fof(f2516,plain,
( ~ sQ36_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2515,f53]) ).
fof(f2517,plain,
( ~ sQ36_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f2516]) ).
fof(f2529,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1997,f72]) ).
fof(f2530,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1997,f70]) ).
fof(f2531,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1997,f68]) ).
fof(f2532,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1997,f74]) ).
fof(f2533,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1997,f40]) ).
fof(f2534,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1997,f38]) ).
fof(f2535,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2001,f72]) ).
fof(f2536,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2001,f70]) ).
fof(f2537,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2001,f68]) ).
fof(f2538,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f2001,f74]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2001,f40]) ).
fof(f2540,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f2001,f38]) ).
fof(f2541,plain,
( ~ sQ117_spl
| ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2506,f2202]) ).
fof(f2543,plain,
( ~ sQ87_spl
| ~ sQ117_spl
| ~ sQ61_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2506,f431]) ).
fof(f2547,plain,
( ~ sQ112_spl
| ~ sQ117_spl
| ~ sQ72_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2021,f516]) ).
fof(f2548,plain,
( ~ sQ112_spl
| ~ sQ117_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2547,f54]) ).
fof(f2549,plain,
( ~ sQ112_spl
| ~ sQ117_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f2548]) ).
fof(f2560,plain,
( ~ sQ2_spl
| ~ sQ39_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f736,f102]) ).
fof(f2561,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f737,f131]) ).
fof(f2562,plain,
( ~ sQ36_spl
| ~ sQ63_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1230,f258]) ).
fof(f2563,plain,
( ~ sQ36_spl
| ~ sQ63_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1228,f258]) ).
fof(f2564,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2560,f72]) ).
fof(f2565,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2560,f70]) ).
fof(f2566,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2560,f68]) ).
fof(f2567,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2560,f74]) ).
fof(f2568,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| ~ product(e_5,e_4,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2560,f40]) ).
fof(f2569,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| ~ product(X0,e_4,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2560,f38]) ).
fof(f2570,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2561,f72]) ).
fof(f2571,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2561,f70]) ).
fof(f2572,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2561,f68]) ).
fof(f2573,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ39_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2561,f74]) ).
fof(f2574,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ39_spl
| ~ product(e_5,e_4,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2561,f40]) ).
fof(f2575,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ39_spl
| ~ product(X0,e_4,e_5)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2561,f38]) ).
fof(f2576,plain,
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2564,f2560]) ).
fof(f2577,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| ~ sQ2_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2565,f2561]) ).
fof(f2578,plain,
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2565,f2560]) ).
fof(f2579,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2577,f51]) ).
fof(f2580,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2579]) ).
fof(f2581,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2189,f72]) ).
fof(f2582,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2189,f70]) ).
fof(f2583,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2189,f68]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2189,f74]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| ~ product(e_5,e_2,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2189,f40]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2189,f38]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1304,f72]) ).
fof(f2588,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1304,f70]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1304,f68]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1304,f74]) ).
fof(f2591,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1304,f40]) ).
fof(f2592,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| ~ product(X0,e_5,e_2)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1304,f38]) ).
fof(f2593,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2570,f2561]) ).
fof(f2594,plain,
( ~ sQ89_spl
| ~ sQ11_spl
| ~ sQ39_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2570,f2189]) ).
fof(f2595,plain,
( ~ sQ89_spl
| ~ sQ11_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2594,f52]) ).
fof(f2596,plain,
( ~ sQ89_spl
| ~ sQ11_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2595]) ).
fof(f2597,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1317,f72]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1317,f70]) ).
fof(f2599,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1317,f68]) ).
fof(f2603,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ21_spl
| ~ sQ97_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2587,f1317]) ).
fof(f2604,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2587,f1304]) ).
fof(f2605,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ21_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2603,f49]) ).
fof(f2606,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ21_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f2605]) ).
fof(f2607,plain,
! [X0] :
( ~ sQ58_spl
| product(e_5,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(backward_subsumption_resolution,[status(thm)],[f76,f1265]) ).
fof(f2608,plain,
( ~ sQ58_spl
| product(e_5,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)],[f2607,f45]) ).
fof(f2609,plain,
( ~ sQ58_spl
| product(e_5,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)],[f2607,f44]) ).
fof(f2610,plain,
( ~ sQ58_spl
| product(e_5,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)],[f2607,f43]) ).
fof(f2611,plain,
( ~ sQ58_spl
| product(e_5,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)],[f2607,f42]) ).
fof(f2612,plain,
( ~ sQ58_spl
| product(e_5,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)],[f2607,f41]) ).
fof(f2613,plain,
( ~ sQ58_spl
| sQ29_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f2608,f222,f225,f228,f234,f332]) ).
fof(f2614,plain,
( ~ sQ58_spl
| sQ34_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f2609,f238,f241,f244,f250,f332]) ).
fof(f2615,plain,
( ~ sQ58_spl
| sQ39_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f2610,f254,f257,f260,f266,f332]) ).
fof(f2616,plain,
( ~ sQ58_spl
| sQ44_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2611,f270,f273,f276,f282,f332]) ).
fof(f2617,plain,
( ~ sQ58_spl
| sQ49_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f2612,f286,f289,f292,f298,f332]) ).
fof(f2618,plain,
( ~ sQ69_spl
| ~ sQ118_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1597,f62]) ).
fof(f2619,plain,
( ~ sQ69_spl
| ~ sQ118_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2618]) ).
fof(f2620,plain,
( ~ sQ47_spl
| ~ sQ38_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1482,f380,f263,f292]) ).
fof(f2621,plain,
( ~ sQ46_spl
| ~ sQ48_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f2328,f417,f295,f289]) ).
fof(f2622,plain,
( ~ sQ68_spl
| ~ sQ38_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1217,f276,f263,f364]) ).
fof(f2623,plain,
( ~ sQ36_spl
| ~ sQ63_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f2562,f414,f348,f257]) ).
fof(f2654,plain,
( ~ sQ48_spl
| ~ sQ38_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1484,f922]) ).
fof(f2655,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1484,f72]) ).
fof(f2656,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1484,f70]) ).
fof(f2657,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1484,f68]) ).
fof(f2658,plain,
! [X0] :
( ~ sQ38_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1484,f74]) ).
fof(f2660,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1484,f38]) ).
fof(f2662,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1720,f72]) ).
fof(f2663,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1720,f70]) ).
fof(f2664,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1720,f68]) ).
fof(f2665,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1720,f74]) ).
fof(f2667,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1720,f38]) ).
fof(f2668,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1486,f72]) ).
fof(f2669,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1486,f70]) ).
fof(f2670,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1486,f68]) ).
fof(f2671,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ63_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1486,f74]) ).
fof(f2672,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ63_spl
| ~ product(e_3,e_3,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1486,f40]) ).
fof(f2673,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_3)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1486,f38]) ).
fof(f2674,plain,
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ38_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1480,f1374]) ).
fof(f2675,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1480,f72]) ).
fof(f2676,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1480,f70]) ).
fof(f2677,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1480,f68]) ).
fof(f2678,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ38_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1480,f74]) ).
fof(f2679,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ38_spl
| ~ product(e_3,e_4,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1480,f40]) ).
fof(f2680,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ38_spl
| ~ product(X0,e_4,e_3)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1480,f38]) ).
fof(f2682,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2654,f72]) ).
fof(f2683,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2654,f70]) ).
fof(f2684,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ38_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2654,f68]) ).
fof(f2690,plain,
( ~ sQ48_spl
| ~ sQ38_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2657,f2654]) ).
fof(f2691,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2657,f1484]) ).
fof(f2692,plain,
( ~ sQ48_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2690,f48]) ).
fof(f2693,plain,
( ~ sQ48_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2692]) ).
fof(f2704,plain,
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1364,f1310]) ).
fof(f2705,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1364,f72]) ).
fof(f2706,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1364,f70]) ).
fof(f2707,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1364,f68]) ).
fof(f2708,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1364,f74]) ).
fof(f2709,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1364,f40]) ).
fof(f2710,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1364,f38]) ).
fof(f2711,plain,
( ~ sQ62_spl
| ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f2704,f1374]) ).
fof(f2712,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f2704,f72]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2704,f70]) ).
fof(f2714,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2704,f68]) ).
fof(f2715,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2704,f74]) ).
fof(f2716,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| ~ product(e_3,e_2,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f2704,f40]) ).
fof(f2717,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| ~ product(X0,e_2,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2704,f38]) ).
fof(f2718,plain,
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2662,f2704]) ).
fof(f2719,plain,
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2662,f1720]) ).
fof(f2720,plain,
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2718,f51]) ).
fof(f2721,plain,
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2720]) ).
fof(f2733,plain,
( ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2663,f431]) ).
fof(f2734,plain,
( ~ sQ112_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2663,f516]) ).
fof(f2735,plain,
( ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2733,f51]) ).
fof(f2736,plain,
( ~ sQ87_spl
| ~ sQ37_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2735]) ).
fof(f2737,plain,
( ~ sQ36_spl
| ~ sQ63_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f2563,f430,f348,f257]) ).
fof(f2738,plain,
( ~ sQ97_spl
| ~ sQ49_spl
| ~ sQ7_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f2088,f1310]) ).
fof(f2742,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2088,f74]) ).
fof(f2743,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| ~ product(e_1,e_4,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2088,f40]) ).
fof(f2744,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| ~ product(X0,e_4,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2088,f38]) ).
fof(f2745,plain,
( ~ sQ97_spl
| ~ sQ49_spl
| ~ sQ7_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f2738,f257,f117,f298,f462]) ).
fof(f2746,plain,
( ~ sQ72_spl
| ~ sQ22_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1998,f351,f165,f377]) ).
fof(f2747,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ7_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f2230,f266,f117,f298,f165]) ).
fof(f2748,plain,
( ~ sQ96_spl
| ~ sQ117_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2454,f50]) ).
fof(f2749,plain,
( ~ sQ96_spl
| ~ sQ117_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2748]) ).
fof(f2774,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ73_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f944,f74]) ).
fof(f2775,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f944,f40]) ).
fof(f2776,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f944,f38]) ).
fof(f2777,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f950,f72]) ).
fof(f2778,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f950,f70]) ).
fof(f2780,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f950,f74]) ).
fof(f2781,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f950,f40]) ).
fof(f2782,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f950,f38]) ).
fof(f2786,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f951,f74]) ).
fof(f2787,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_5,e_5,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f951,f40]) ).
fof(f2788,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_5,e_5)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f951,f38]) ).
fof(f2792,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1304,f74]) ).
fof(f2793,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1304,f40]) ).
fof(f2794,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| ~ product(X0,e_5,e_2)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1304,f38]) ).
fof(f2795,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f717,f72]) ).
fof(f2796,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f717,f70]) ).
fof(f2797,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f717,f68]) ).
fof(f2798,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f717,f74]) ).
fof(f2799,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f717,f40]) ).
fof(f2800,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f717,f38]) ).
fof(f2801,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f982,f1304]) ).
fof(f2803,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2801,f62]) ).
fof(f2804,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2803]) ).
fof(f2805,plain,
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1546,f117,f383,f165,f335]) ).
fof(f2809,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f765,f74]) ).
fof(f2810,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f765,f40]) ).
fof(f2811,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ74_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f765,f38]) ).
fof(f2812,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f1545,f72]) ).
fof(f2813,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1545,f70]) ).
fof(f2814,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1545,f68]) ).
fof(f2815,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1545,f74]) ).
fof(f2816,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(e_5,e_1,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1545,f40]) ).
fof(f2817,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(X0,e_1,e_5)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1545,f38]) ).
fof(f2818,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1244,f72]) ).
fof(f2819,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1244,f70]) ).
fof(f2820,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1244,f68]) ).
fof(f2821,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1244,f74]) ).
fof(f2822,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_4,e_2,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1244,f40]) ).
fof(f2823,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_2,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1244,f38]) ).
fof(f2824,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1247,f72]) ).
fof(f2825,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1247,f70]) ).
fof(f2826,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1247,f68]) ).
fof(f2827,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1247,f74]) ).
fof(f2828,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_5,e_2,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1247,f40]) ).
fof(f2829,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_2,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1247,f38]) ).
fof(f2830,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1385,f72]) ).
fof(f2831,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1385,f70]) ).
fof(f2832,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1385,f68]) ).
fof(f2833,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1385,f74]) ).
fof(f2834,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_4,e_3,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1385,f40]) ).
fof(f2835,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_3,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1385,f38]) ).
fof(f2836,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1406,f72]) ).
fof(f2837,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1406,f70]) ).
fof(f2838,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1406,f68]) ).
fof(f2839,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1406,f74]) ).
fof(f2840,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(e_5,e_3,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1406,f40]) ).
fof(f2841,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| ~ product(X0,e_3,e_5)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1406,f38]) ).
fof(f2843,plain,
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f726,f717]) ).
fof(f2844,plain,
( ~ sQ22_spl
| ~ sQ74_spl
| ~ sQ18_spl
| ~ sQ44_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f727,f765]) ).
fof(f2846,plain,
( ~ sQ22_spl
| ~ sQ74_spl
| ~ sQ18_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2844,f56]) ).
fof(f2847,plain,
( ~ sQ22_spl
| ~ sQ74_spl
| ~ sQ18_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2846]) ).
fof(f2858,plain,
! [X0] :
( ~ sQ112_spl
| product(e_5,e_3,X0)
| product(e_4,e_3,X0)
| product(e_2,e_3,X0)
| product(e_1,e_3,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f77,f2084]) ).
fof(f2859,plain,
( ~ sQ112_spl
| product(e_5,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f2858,f45]) ).
fof(f2860,plain,
( ~ sQ112_spl
| product(e_5,e_3,e_4)
| product(e_4,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f2858,f44]) ).
fof(f2861,plain,
( ~ sQ112_spl
| product(e_5,e_3,e_3)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f2858,f43]) ).
fof(f2862,plain,
( ~ sQ112_spl
| product(e_5,e_3,e_2)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f2858,f42]) ).
fof(f2863,plain,
( ~ sQ112_spl
| product(e_5,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f2858,f41]) ).
fof(f2864,plain,
( ~ sQ112_spl
| sQ54_spl
| sQ53_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f2859,f307,f310,f316,f319,f515]) ).
fof(f2865,plain,
( ~ sQ112_spl
| sQ59_spl
| sQ58_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2860,f323,f326,f332,f335,f515]) ).
fof(f2866,plain,
( ~ sQ112_spl
| sQ64_spl
| sQ63_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f2861,f339,f342,f348,f351,f515]) ).
fof(f2867,plain,
( ~ sQ112_spl
| sQ69_spl
| sQ68_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f2862,f355,f358,f364,f367,f515]) ).
fof(f2868,plain,
( ~ sQ112_spl
| sQ74_spl
| sQ73_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f2863,f371,f374,f380,f383,f515]) ).
fof(f2900,plain,
( ~ sQ112_spl
| ~ sQ69_spl
| ~ sQ17_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1320,f2084]) ).
fof(f2901,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1320,f72]) ).
fof(f2902,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1320,f70]) ).
fof(f2903,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1320,f68]) ).
fof(f2904,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1320,f74]) ).
fof(f2905,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| ~ product(e_5,e_3,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1320,f40]) ).
fof(f2906,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1320,f38]) ).
fof(f2907,plain,
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1319,f2119]) ).
fof(f2908,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1319,f72]) ).
fof(f2909,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1319,f70]) ).
fof(f2910,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1319,f68]) ).
fof(f2911,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1319,f74]) ).
fof(f2912,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| ~ product(e_4,e_2,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1319,f40]) ).
fof(f2913,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ17_spl
| ~ product(X0,e_2,e_4)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1319,f38]) ).
fof(f2914,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1280,f72]) ).
fof(f2915,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1280,f70]) ).
fof(f2916,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1280,f68]) ).
fof(f2917,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1280,f74]) ).
fof(f2918,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| ~ product(e_5,e_2,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1280,f40]) ).
fof(f2919,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| ~ product(X0,e_2,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1280,f38]) ).
fof(f2920,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2900,f72]) ).
fof(f2921,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f2900,f70]) ).
fof(f2922,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2900,f68]) ).
fof(f2923,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ69_spl
| ~ sQ17_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2900,f74]) ).
fof(f2924,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ69_spl
| ~ sQ17_spl
| ~ product(e_5,e_1,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2900,f40]) ).
fof(f2925,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ69_spl
| ~ sQ17_spl
| ~ product(X0,e_1,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2900,f38]) ).
fof(f2926,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2907,f72]) ).
fof(f2927,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2907,f70]) ).
fof(f2928,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2907,f68]) ).
fof(f2929,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2907,f74]) ).
fof(f2930,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| ~ product(e_3,e_1,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2907,f40]) ).
fof(f2931,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| ~ product(X0,e_1,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2907,f38]) ).
fof(f2932,plain,
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| ~ sQ96_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f2147,f2907]) ).
fof(f2933,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2932,f72]) ).
fof(f2934,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2932,f70]) ).
fof(f2935,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| ~ sQ96_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2932,f68]) ).
fof(f2936,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| ~ sQ96_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2932,f74]) ).
fof(f2937,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| ~ sQ96_spl
| ~ product(e_3,e_2,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2932,f40]) ).
fof(f2938,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| ~ sQ96_spl
| ~ product(X0,e_2,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2932,f38]) ).
fof(f2940,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1445,f1320]) ).
fof(f2941,plain,
( ~ sQ112_spl
| ~ sQ69_spl
| ~ sQ17_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1443,f2900]) ).
fof(f2943,plain,
( ~ sQ112_spl
| ~ sQ69_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2941,f47]) ).
fof(f2944,plain,
( ~ sQ112_spl
| ~ sQ69_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2943]) ).
fof(f2945,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1997,f72]) ).
fof(f2946,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1997,f70]) ).
fof(f2947,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1997,f68]) ).
fof(f2948,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1997,f74]) ).
fof(f2949,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1997,f40]) ).
fof(f2950,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ117_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1997,f38]) ).
fof(f2951,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2001,f72]) ).
fof(f2952,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2001,f70]) ).
fof(f2953,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2001,f68]) ).
fof(f2954,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f2001,f74]) ).
fof(f2955,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2001,f40]) ).
fof(f2956,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f2001,f38]) ).
fof(f2957,plain,
( ~ sQ96_spl
| ~ sQ117_spl
| ~ sQ66_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f2169,f2147]) ).
fof(f2958,plain,
( ~ sQ96_spl
| ~ sQ117_spl
| ~ sQ66_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2169,f2146]) ).
fof(f2959,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2169,f72]) ).
fof(f2960,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2169,f70]) ).
fof(f2961,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2169,f68]) ).
fof(f2962,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2169,f74]) ).
fof(f2963,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| ~ product(e_2,e_1,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2169,f40]) ).
fof(f2964,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ66_spl
| ~ product(X0,e_1,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2169,f38]) ).
fof(f2965,plain,
( ~ sQ96_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f2148,f460]) ).
fof(f2966,plain,
( ~ sQ96_spl
| ~ sQ121_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f2152,f460]) ).
fof(f2967,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f115,f72]) ).
fof(f2968,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f115,f70]) ).
fof(f2969,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f115,f68]) ).
fof(f2970,plain,
! [X0] :
( ~ sQ6_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f115,f74]) ).
fof(f2971,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_4,e_2,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f115,f40]) ).
fof(f2972,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(X0,e_2,e_4)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f115,f38]) ).
fof(f2973,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f242,f72]) ).
fof(f2974,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f242,f70]) ).
fof(f2975,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f242,f68]) ).
fof(f2976,plain,
! [X0] :
( ~ sQ31_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f242,f74]) ).
fof(f2977,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_4,e_2,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f242,f40]) ).
fof(f2978,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(X0,e_2,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f242,f38]) ).
fof(f2979,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f412,f72]) ).
fof(f2980,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f412,f70]) ).
fof(f2981,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f412,f68]) ).
fof(f2982,plain,
! [X0] :
( ~ sQ81_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f412,f74]) ).
fof(f2983,plain,
! [X0] :
( ~ sQ81_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f412,f40]) ).
fof(f2984,plain,
! [X0] :
( ~ sQ81_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f412,f38]) ).
fof(f2985,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f497,f72]) ).
fof(f2986,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f497,f70]) ).
fof(f2987,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f497,f68]) ).
fof(f2988,plain,
! [X0] :
( ~ sQ106_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f497,f74]) ).
fof(f2989,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(e_4,e_2,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f497,f40]) ).
fof(f2990,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(X0,e_2,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f497,f38]) ).
fof(f2991,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f99,f72]) ).
fof(f2992,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f99,f70]) ).
fof(f2993,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f99,f68]) ).
fof(f2994,plain,
! [X0] :
( ~ sQ1_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f99,f74]) ).
fof(f2995,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_5,e_2,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f99,f40]) ).
fof(f2996,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(X0,e_2,e_5)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f99,f38]) ).
fof(f2997,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f287,f72]) ).
fof(f2998,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f287,f70]) ).
fof(f2999,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f287,f68]) ).
fof(f3000,plain,
! [X0] :
( ~ sQ45_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f287,f74]) ).
fof(f3001,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_1,e_1,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f287,f40]) ).
fof(f3002,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(X0,e_1,e_1)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f287,f38]) ).
fof(f3003,plain,
( ~ sQ107_spl
| ~ sQ70_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f372,f2117]) ).
fof(f3004,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f372,f72]) ).
fof(f3005,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f372,f70]) ).
fof(f3006,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f372,f68]) ).
fof(f3007,plain,
! [X0] :
( ~ sQ70_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f372,f74]) ).
fof(f3008,plain,
! [X0] :
( ~ sQ70_spl
| ~ product(e_1,e_1,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f372,f40]) ).
fof(f3009,plain,
! [X0] :
( ~ sQ70_spl
| ~ product(X0,e_1,e_1)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f372,f38]) ).
fof(f3010,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f457,f2147]) ).
fof(f3012,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f457,f2148]) ).
fof(f3013,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f457,f72]) ).
fof(f3014,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f457,f70]) ).
fof(f3015,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f457,f68]) ).
fof(f3016,plain,
! [X0] :
( ~ sQ95_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f457,f74]) ).
fof(f3017,plain,
! [X0] :
( ~ sQ95_spl
| ~ product(e_1,e_1,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f457,f40]) ).
fof(f3018,plain,
! [X0] :
( ~ sQ95_spl
| ~ product(X0,e_1,e_1)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f457,f38]) ).
fof(f3019,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f542,f72]) ).
fof(f3020,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f542,f70]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f542,f68]) ).
fof(f3022,plain,
! [X0] :
( ~ sQ120_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f542,f74]) ).
fof(f3025,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f144,f72]) ).
fof(f3026,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f144,f70]) ).
fof(f3027,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f144,f68]) ).
fof(f3028,plain,
! [X0] :
( ~ sQ15_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f144,f74]) ).
fof(f3029,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_2,e_1,X0)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f144,f40]) ).
fof(f3030,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(X0,e_1,e_2)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f144,f38]) ).
fof(f3031,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f271,f72]) ).
fof(f3032,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f271,f70]) ).
fof(f3033,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f271,f68]) ).
fof(f3034,plain,
! [X0] :
( ~ sQ40_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f271,f74]) ).
fof(f3035,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(e_2,e_1,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f271,f40]) ).
fof(f3036,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(X0,e_1,e_2)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f271,f38]) ).
fof(f3037,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f526,f72]) ).
fof(f3038,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f526,f70]) ).
fof(f3039,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f526,f68]) ).
fof(f3040,plain,
! [X0] :
( ~ sQ115_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f526,f74]) ).
fof(f3041,plain,
! [X0] :
( ~ sQ115_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f526,f40]) ).
fof(f3042,plain,
! [X0] :
( ~ sQ115_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f526,f38]) ).
fof(f3043,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f128,f72]) ).
fof(f3044,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f128,f70]) ).
fof(f3045,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f128,f68]) ).
fof(f3046,plain,
! [X0] :
( ~ sQ10_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f128,f74]) ).
fof(f3047,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_3,e_1,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f128,f40]) ).
fof(f3048,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(X0,e_1,e_3)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f128,f38]) ).
fof(f3049,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f255,f72]) ).
fof(f3050,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f255,f70]) ).
fof(f3051,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f255,f68]) ).
fof(f3052,plain,
! [X0] :
( ~ sQ35_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f255,f74]) ).
fof(f3053,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_3,e_1,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f255,f40]) ).
fof(f3054,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(X0,e_1,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f255,f38]) ).
fof(f3055,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f340,f1374]) ).
fof(f3056,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f340,f72]) ).
fof(f3057,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f340,f70]) ).
fof(f3058,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f340,f68]) ).
fof(f3059,plain,
! [X0] :
( ~ sQ60_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f340,f74]) ).
fof(f3060,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(e_3,e_1,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f340,f40]) ).
fof(f3061,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(X0,e_1,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f340,f38]) ).
fof(f3062,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f3055,f515,f339,f345]) ).
fof(f3063,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f510,f72]) ).
fof(f3064,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f510,f70]) ).
fof(f3065,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f510,f68]) ).
fof(f3066,plain,
! [X0] :
( ~ sQ110_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f510,f74]) ).
fof(f3067,plain,
! [X0] :
( ~ sQ110_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f510,f40]) ).
fof(f3068,plain,
! [X0] :
( ~ sQ110_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f510,f38]) ).
fof(f3079,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3003,f72]) ).
fof(f3080,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3003,f70]) ).
fof(f3081,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f3003,f68]) ).
fof(f3082,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ70_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f3003,f74]) ).
fof(f3083,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ70_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3003,f40]) ).
fof(f3084,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ70_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f3003,f38]) ).
fof(f3085,plain,
( ~ sQ84_spl
| ~ sQ17_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1437,f1319]) ).
fof(f3086,plain,
( ~ sQ84_spl
| ~ sQ17_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1438,f1319]) ).
fof(f3087,plain,
( ~ sQ6_spl
| ~ sQ84_spl
| ~ sQ17_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1438,f115]) ).
fof(f3088,plain,
( ~ sQ106_spl
| ~ sQ84_spl
| ~ sQ17_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1438,f497]) ).
fof(f3089,plain,
( ~ sQ81_spl
| ~ sQ84_spl
| ~ sQ17_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1438,f412]) ).
fof(f3090,plain,
( ~ sQ31_spl
| ~ sQ84_spl
| ~ sQ17_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1438,f242]) ).
fof(f3091,plain,
( ~ sQ6_spl
| ~ sQ84_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3087,f64]) ).
fof(f3092,plain,
( ~ sQ6_spl
| ~ sQ84_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3091]) ).
fof(f3093,plain,
( ~ sQ39_spl
| ~ sQ73_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f944,f165,f380,f266]) ).
fof(f3094,plain,
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2914,f1280]) ).
fof(f3095,plain,
( ~ sQ1_spl
| ~ sQ84_spl
| ~ sQ3_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2915,f99]) ).
fof(f3096,plain,
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2915,f1280]) ).
fof(f3097,plain,
( ~ sQ1_spl
| ~ sQ84_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3095,f65]) ).
fof(f3098,plain,
( ~ sQ1_spl
| ~ sQ84_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3097]) ).
fof(f3099,plain,
( ~ sQ107_spl
| ~ sQ70_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3079,f3003]) ).
fof(f3101,plain,
( ~ sQ107_spl
| ~ sQ70_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3079,f500]) ).
fof(f3104,plain,
! [X0] :
( ~ sQ121_spl
| product(e_1,e_5,X0)
| product(e_1,e_4,X0)
| product(e_1,e_3,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f84,f2153]) ).
fof(f3105,plain,
( ~ sQ95_spl
| ~ sQ121_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f2153,f457]) ).
fof(f3106,plain,
( ~ sQ121_spl
| 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_1,e_5) ),
inference(resolution,[status(thm)],[f3104,f45]) ).
fof(f3107,plain,
( ~ sQ121_spl
| 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_1,e_4) ),
inference(resolution,[status(thm)],[f3104,f44]) ).
fof(f3108,plain,
( ~ sQ121_spl
| 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_1,e_3) ),
inference(resolution,[status(thm)],[f3104,f43]) ).
fof(f3109,plain,
( ~ sQ121_spl
| 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_1,e_2) ),
inference(resolution,[status(thm)],[f3104,f42]) ).
fof(f3110,plain,
( ~ sQ121_spl
| 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_1,e_1) ),
inference(resolution,[status(thm)],[f3104,f41]) ).
fof(f3111,plain,
( ~ sQ121_spl
| sQ0_spl
| sQ25_spl
| sQ50_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f3106,f477,f307,f222,f95,f544]) ).
fof(f3112,plain,
( ~ sQ121_spl
| sQ5_spl
| sQ30_spl
| sQ55_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f3107,f493,f323,f238,f111,f544]) ).
fof(f3113,plain,
( ~ sQ121_spl
| sQ10_spl
| sQ35_spl
| sQ60_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3108,f509,f339,f254,f127,f544]) ).
fof(f3114,plain,
( ~ sQ121_spl
| sQ15_spl
| sQ40_spl
| sQ65_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3109,f525,f355,f270,f143,f544]) ).
fof(f3115,plain,
( ~ sQ121_spl
| sQ20_spl
| sQ45_spl
| sQ70_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f3110,f541,f371,f286,f159,f544]) ).
fof(f3116,plain,
( ~ sQ107_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3101,f54]) ).
fof(f3117,plain,
( ~ sQ107_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f3116]) ).
fof(f3118,plain,
( ~ sQ95_spl
| ~ sQ121_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f2154,f457]) ).
fof(f3119,plain,
( ~ sQ96_spl
| ~ sQ121_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f2154,f460]) ).
fof(f3120,plain,
( ~ sQ121_spl
| ~ sQ96_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f3119,f2153]) ).
fof(f3121,plain,
( ~ sQ96_spl
| ~ sQ121_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f3119,f2147]) ).
fof(f3123,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f3119,f72]) ).
fof(f3124,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3119,f70]) ).
fof(f3125,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f3119,f68]) ).
fof(f3126,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ121_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3119,f74]) ).
fof(f3127,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ121_spl
| ~ product(e_2,e_1,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f3119,f40]) ).
fof(f3128,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ121_spl
| ~ product(X0,e_1,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3119,f38]) ).
fof(f3129,plain,
( ~ sQ96_spl
| ~ sQ121_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3123,f3119]) ).
fof(f3133,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ121_spl
| product(e_1,e_4,X0)
| product(e_1,e_3,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f879,f2153]) ).
fof(f3134,plain,
( ~ sQ124_spl
| ~ sQ121_spl
| product(e_1,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f3133,f45]) ).
fof(f3135,plain,
( ~ sQ124_spl
| ~ sQ121_spl
| product(e_1,e_4,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f3133,f44]) ).
fof(f3136,plain,
( ~ sQ124_spl
| ~ sQ121_spl
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f3133,f43]) ).
fof(f3137,plain,
( ~ sQ124_spl
| ~ sQ121_spl
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f3133,f42]) ).
fof(f3138,plain,
( ~ sQ124_spl
| ~ sQ121_spl
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f3133,f41]) ).
fof(f3139,plain,
( ~ sQ124_spl
| ~ sQ121_spl
| sQ25_spl
| sQ50_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f3134,f477,f307,f222,f544,f553]) ).
fof(f3140,plain,
( ~ sQ124_spl
| ~ sQ121_spl
| sQ30_spl
| sQ55_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f3135,f493,f323,f238,f544,f553]) ).
fof(f3141,plain,
( ~ sQ124_spl
| ~ sQ121_spl
| sQ35_spl
| sQ60_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3136,f509,f339,f254,f544,f553]) ).
fof(f3142,plain,
( ~ sQ124_spl
| ~ sQ121_spl
| sQ40_spl
| sQ65_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3137,f525,f355,f270,f544,f553]) ).
fof(f3143,plain,
( ~ sQ124_spl
| ~ sQ121_spl
| sQ45_spl
| sQ70_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f3138,f541,f371,f286,f544,f553]) ).
fof(f3144,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3010,f544,f456,f459]) ).
fof(f3155,plain,
! [X0] :
( ~ sQ16_spl
| product(e_5,e_2,X0)
| product(e_4,e_2,X0)
| product(e_3,e_2,X0)
| product(e_1,e_2,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f78,f2160]) ).
fof(f3156,plain,
( ~ sQ81_spl
| ~ sQ16_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f2160,f412]) ).
fof(f3157,plain,
( ~ sQ91_spl
| ~ sQ16_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f2160,f444]) ).
fof(f3158,plain,
( ~ sQ81_spl
| ~ sQ16_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f3156,f420,f146,f411]) ).
fof(f3159,plain,
( ~ sQ91_spl
| ~ sQ16_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f3157,f452,f146,f443]) ).
fof(f3170,plain,
( ~ sQ81_spl
| ~ sQ41_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2166,f412]) ).
fof(f3171,plain,
( ~ sQ81_spl
| ~ sQ41_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f3170,f449,f273,f411]) ).
fof(f3182,plain,
! [X0] :
( ~ sQ41_spl
| product(e_5,e_2,X0)
| product(e_4,e_2,X0)
| product(e_3,e_2,X0)
| product(e_1,e_2,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f78,f2167]) ).
fof(f3183,plain,
( ~ sQ81_spl
| ~ sQ41_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f2167,f412]) ).
fof(f3184,plain,
( ~ sQ91_spl
| ~ sQ41_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2167,f444]) ).
fof(f3185,plain,
( ~ sQ41_spl
| product(e_5,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f3182,f45]) ).
fof(f3186,plain,
( ~ sQ41_spl
| product(e_5,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f3182,f44]) ).
fof(f3187,plain,
( ~ sQ41_spl
| product(e_5,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f3182,f43]) ).
fof(f3188,plain,
( ~ sQ41_spl
| product(e_5,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f3182,f42]) ).
fof(f3189,plain,
( ~ sQ41_spl
| product(e_5,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f3182,f41]) ).
fof(f3190,plain,
( ~ sQ41_spl
| sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f3185,f392,f398,f401,f404,f273]) ).
fof(f3191,plain,
( ~ sQ41_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f3186,f408,f414,f417,f420,f273]) ).
fof(f3192,plain,
( ~ sQ41_spl
| sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f3187,f424,f430,f433,f436,f273]) ).
fof(f3193,plain,
( ~ sQ41_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f3188,f440,f446,f449,f452,f273]) ).
fof(f3194,plain,
( ~ sQ41_spl
| sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f3189,f456,f462,f465,f468,f273]) ).
fof(f3195,plain,
( ~ sQ96_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f2965,f443,f459]) ).
fof(f3196,plain,
( ~ sQ89_spl
| ~ sQ16_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f2155,f427,f146,f436]) ).
fof(f3197,plain,
( ~ sQ91_spl
| ~ sQ41_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f3184,f449,f273,f443]) ).
fof(f3198,plain,
( ~ sQ117_spl
| ~ sQ71_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2134,f456,f374,f531]) ).
fof(f3199,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1976,f45]) ).
fof(f3200,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| product(e_2,e_4,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1976,f44]) ).
fof(f3201,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| product(e_2,e_4,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1976,f43]) ).
fof(f3202,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1976,f42]) ).
fof(f3203,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| product(e_2,e_4,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f1976,f41]) ).
fof(f3204,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| sQ26_spl
| sQ76_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3199,f480,f395,f225,f446,f452]) ).
fof(f3205,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| sQ31_spl
| sQ81_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3200,f496,f411,f241,f446,f452]) ).
fof(f3206,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| sQ36_spl
| sQ86_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f3201,f512,f427,f257,f446,f452]) ).
fof(f3207,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| sQ41_spl
| sQ91_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f3202,f528,f443,f273,f446,f452]) ).
fof(f3208,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| sQ46_spl
| sQ96_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3203,f544,f459,f289,f446,f452]) ).
fof(f3269,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f717,f72]) ).
fof(f3270,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f717,f70]) ).
fof(f3271,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f717,f68]) ).
fof(f3272,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f717,f74]) ).
fof(f3273,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f717,f40]) ).
fof(f3274,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f717,f38]) ).
fof(f3275,plain,
( ~ sQ41_spl
| ~ sQ89_spl
| ~ sQ11_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f2189,f2167]) ).
fof(f3276,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2189,f72]) ).
fof(f3277,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2189,f70]) ).
fof(f3279,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2189,f74]) ).
fof(f3280,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| ~ product(e_5,e_2,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2189,f40]) ).
fof(f3281,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2189,f38]) ).
fof(f3282,plain,
( ~ sQ41_spl
| ~ sQ98_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f2162,f2167]) ).
fof(f3283,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2162,f72]) ).
fof(f3284,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2162,f70]) ).
fof(f3285,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2162,f68]) ).
fof(f3286,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ41_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2162,f74]) ).
fof(f3287,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ41_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2162,f40]) ).
fof(f3288,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ41_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2162,f38]) ).
fof(f3289,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2120,f72]) ).
fof(f3290,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2120,f70]) ).
fof(f3291,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2120,f68]) ).
fof(f3292,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2120,f74]) ).
fof(f3293,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2120,f40]) ).
fof(f3294,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2120,f38]) ).
fof(f3295,plain,
( ~ sQ41_spl
| ~ sQ81_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f3183,f2166]) ).
fof(f3296,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ41_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3183,f72]) ).
fof(f3297,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f3183,f70]) ).
fof(f3298,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ41_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f3183,f68]) ).
fof(f3299,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ41_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3183,f74]) ).
fof(f3300,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ41_spl
| ~ product(e_4,e_4,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f3183,f40]) ).
fof(f3301,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ41_spl
| ~ product(X0,e_4,e_4)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3183,f38]) ).
fof(f3302,plain,
( ~ sQ41_spl
| ~ sQ81_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f3295,f279,f411,f273]) ).
fof(f3303,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f3275,f72]) ).
fof(f3304,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f3275,f70]) ).
fof(f3305,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f3275,f68]) ).
fof(f3306,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ89_spl
| ~ sQ11_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3275,f74]) ).
fof(f3307,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ89_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f3275,f40]) ).
fof(f3308,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ89_spl
| ~ sQ11_spl
| ~ product(X0,e_4,e_5)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3275,f38]) ).
fof(f3309,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3282,f72]) ).
fof(f3310,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ98_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3282,f70]) ).
fof(f3311,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f3282,f68]) ).
fof(f3312,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ98_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3282,f74]) ).
fof(f3313,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ98_spl
| ~ product(e_1,e_4,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f3282,f40]) ).
fof(f3314,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ98_spl
| ~ product(X0,e_4,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3282,f38]) ).
fof(f3316,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| ~ sQ44_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2330,f115]) ).
fof(f3317,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3316,f53]) ).
fof(f3318,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3317]) ).
fof(f3319,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f3155,f45]) ).
fof(f3320,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f3155,f44]) ).
fof(f3321,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f3155,f43]) ).
fof(f3322,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f3155,f42]) ).
fof(f3323,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f3155,f41]) ).
fof(f3324,plain,
( ~ sQ16_spl
| sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f3319,f392,f398,f401,f404,f146]) ).
fof(f3325,plain,
( ~ sQ16_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f3320,f408,f414,f417,f420,f146]) ).
fof(f3326,plain,
( ~ sQ16_spl
| sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f3321,f424,f430,f433,f436,f146]) ).
fof(f3327,plain,
( ~ sQ16_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f3322,f440,f446,f449,f452,f146]) ).
fof(f3328,plain,
( ~ sQ16_spl
| sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f3323,f456,f462,f465,f468,f146]) ).
fof(f3340,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2189,f70]) ).
fof(f3341,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2189,f68]) ).
fof(f3342,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2189,f74]) ).
fof(f3343,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| ~ product(e_5,e_2,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2189,f40]) ).
fof(f3344,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2189,f38]) ).
fof(f3345,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2120,f72]) ).
fof(f3346,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2120,f70]) ).
fof(f3347,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2120,f68]) ).
fof(f3348,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2120,f74]) ).
fof(f3349,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2120,f40]) ).
fof(f3350,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2120,f38]) ).
fof(f3352,plain,
( ~ sQ89_spl
| ~ sQ2_spl
| ~ sQ11_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2582,f2120]) ).
fof(f3353,plain,
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2582,f2189]) ).
fof(f3354,plain,
( ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ11_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2582,f99]) ).
fof(f3355,plain,
( ~ sQ89_spl
| ~ sQ2_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3352,f55]) ).
fof(f3356,plain,
( ~ sQ89_spl
| ~ sQ2_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3355]) ).
fof(f3357,plain,
! [X0] :
( ~ sQ116_spl
| product(e_5,e_2,X0)
| product(e_4,e_2,X0)
| product(e_3,e_2,X0)
| product(e_1,e_2,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f78,f2187]) ).
fof(f3358,plain,
( ~ sQ116_spl
| product(e_5,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f3357,f45]) ).
fof(f3359,plain,
( ~ sQ116_spl
| product(e_5,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f3357,f44]) ).
fof(f3360,plain,
( ~ sQ116_spl
| product(e_5,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f3357,f43]) ).
fof(f3361,plain,
( ~ sQ116_spl
| product(e_5,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f3357,f42]) ).
fof(f3362,plain,
( ~ sQ116_spl
| product(e_5,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f3357,f41]) ).
fof(f3363,plain,
( ~ sQ116_spl
| sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f3358,f392,f398,f401,f404,f528]) ).
fof(f3364,plain,
( ~ sQ116_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f3359,f408,f414,f417,f420,f528]) ).
fof(f3365,plain,
( ~ sQ116_spl
| sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f3360,f424,f430,f433,f436,f528]) ).
fof(f3366,plain,
( ~ sQ116_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f3361,f440,f446,f449,f452,f528]) ).
fof(f3367,plain,
( ~ sQ116_spl
| sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f3362,f456,f462,f465,f468,f528]) ).
fof(f3368,plain,
( ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3354,f63]) ).
fof(f3369,plain,
( ~ sQ1_spl
| ~ sQ89_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3368]) ).
fof(f3380,plain,
( ~ sQ35_spl
| ~ sQ63_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1230,f255]) ).
fof(f3381,plain,
( ~ sQ35_spl
| ~ sQ63_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1228,f255]) ).
fof(f3382,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3381,f72]) ).
fof(f3383,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f3381,f70]) ).
fof(f3384,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3381,f68]) ).
fof(f3385,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3381,f74]) ).
fof(f3386,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3381,f40]) ).
fof(f3387,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3381,f38]) ).
fof(f3389,plain,
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3382,f3381]) ).
fof(f3392,plain,
( ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f946,f374,f380,f266,f436]) ).
fof(f3393,plain,
( ~ sQ98_spl
| ~ sQ41_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f2162,f459,f273,f465]) ).
fof(f3394,plain,
( ~ sQ22_spl
| ~ sQ71_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2135,f436,f374,f165]) ).
fof(f3395,plain,
( ~ sQ49_spl
| ~ sQ7_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f2088,f380,f117,f298]) ).
fof(f3419,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2008,f74]) ).
fof(f3420,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2008,f40]) ).
fof(f3421,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2008,f38]) ).
fof(f3422,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1720,f2105]) ).
fof(f3424,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1720,f72]) ).
fof(f3425,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1720,f70]) ).
fof(f3426,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1720,f68]) ).
fof(f3427,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1720,f74]) ).
fof(f3429,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1720,f38]) ).
fof(f3430,plain,
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ37_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1364,f2117]) ).
fof(f3431,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1364,f72]) ).
fof(f3432,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1364,f70]) ).
fof(f3433,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1364,f68]) ).
fof(f3434,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1364,f74]) ).
fof(f3435,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1364,f40]) ).
fof(f3436,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1364,f38]) ).
fof(f3439,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3422,f72]) ).
fof(f3440,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3422,f70]) ).
fof(f3441,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f3422,f68]) ).
fof(f3446,plain,
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ37_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f3430,f2119]) ).
fof(f3447,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3430,f72]) ).
fof(f3448,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3430,f70]) ).
fof(f3449,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3430,f68]) ).
fof(f3450,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ37_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3430,f74]) ).
fof(f3451,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ37_spl
| ~ product(e_4,e_1,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f3430,f40]) ).
fof(f3452,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ37_spl
| ~ product(X0,e_1,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3430,f38]) ).
fof(f3453,plain,
( ~ sQ37_spl
| ~ sQ63_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2009,f1720]) ).
fof(f3454,plain,
( ~ sQ37_spl
| ~ sQ63_spl
| ~ sQ72_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3453,f57]) ).
fof(f3455,plain,
( ~ sQ37_spl
| ~ sQ63_spl
| ~ sQ72_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3454]) ).
fof(f3456,plain,
( sQ72_spl
| ~ sQ73_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f379,f1364]) ).
fof(f3457,plain,
( sQ72_spl
| ~ sQ73_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f3456]) ).
fof(f3468,plain,
! [X0] :
( ~ sQ31_spl
| product(e_4,e_5,X0)
| product(e_4,e_4,X0)
| product(e_4,e_3,X0)
| product(e_4,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f81,f2977]) ).
fof(f3469,plain,
( ~ sQ31_spl
| 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_1,e_5) ),
inference(resolution,[status(thm)],[f3468,f45]) ).
fof(f3470,plain,
( ~ sQ31_spl
| 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_1,e_4) ),
inference(resolution,[status(thm)],[f3468,f44]) ).
fof(f3471,plain,
( ~ sQ31_spl
| 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_1,e_3) ),
inference(resolution,[status(thm)],[f3468,f43]) ).
fof(f3472,plain,
( ~ sQ31_spl
| 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_1,e_2) ),
inference(resolution,[status(thm)],[f3468,f42]) ).
fof(f3473,plain,
( ~ sQ31_spl
| 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_1,e_1) ),
inference(resolution,[status(thm)],[f3468,f41]) ).
fof(f3474,plain,
( ~ sQ31_spl
| sQ3_spl
| sQ28_spl
| sQ53_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f3469,f486,f316,f231,f104,f241]) ).
fof(f3475,plain,
( ~ sQ31_spl
| sQ8_spl
| sQ33_spl
| sQ58_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f3470,f502,f332,f247,f120,f241]) ).
fof(f3476,plain,
( ~ sQ31_spl
| sQ13_spl
| sQ38_spl
| sQ63_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f3471,f518,f348,f263,f136,f241]) ).
fof(f3477,plain,
( ~ sQ31_spl
| sQ18_spl
| sQ43_spl
| sQ68_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f3472,f534,f364,f279,f152,f241]) ).
fof(f3478,plain,
( ~ sQ31_spl
| sQ23_spl
| sQ48_spl
| sQ73_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f3473,f550,f380,f295,f168,f241]) ).
fof(f3499,plain,
( ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1720,f1338]) ).
fof(f3501,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1720,f72]) ).
fof(f3502,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1720,f70]) ).
fof(f3503,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1720,f68]) ).
fof(f3504,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1720,f74]) ).
fof(f3506,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1720,f38]) ).
fof(f3507,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1280,f72]) ).
fof(f3508,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1280,f70]) ).
fof(f3509,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1280,f68]) ).
fof(f3510,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1280,f74]) ).
fof(f3511,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| ~ product(e_5,e_2,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1280,f40]) ).
fof(f3512,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| ~ product(X0,e_2,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1280,f38]) ).
fof(f3513,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1863,f72]) ).
fof(f3514,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1863,f70]) ).
fof(f3515,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1863,f68]) ).
fof(f3516,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1863,f74]) ).
fof(f3517,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| ~ product(e_4,e_1,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1863,f40]) ).
fof(f3518,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| ~ product(X0,e_1,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1863,f38]) ).
fof(f3519,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f685,f72]) ).
fof(f3522,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f685,f74]) ).
fof(f3523,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f685,f40]) ).
fof(f3524,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f685,f38]) ).
fof(f3526,plain,
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f3499,f2111]) ).
fof(f3527,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3499,f72]) ).
fof(f3528,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3499,f70]) ).
fof(f3529,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f3499,f68]) ).
fof(f3533,plain,
( ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f3526,f1339]) ).
fof(f3534,plain,
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f3526,f2113]) ).
fof(f3535,plain,
( ~ sQ107_spl
| ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f3526,f2119]) ).
fof(f3536,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3526,f72]) ).
fof(f3537,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3526,f70]) ).
fof(f3538,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3526,f68]) ).
fof(f3539,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f3526,f74]) ).
fof(f3540,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(e_4,e_2,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f3526,f40]) ).
fof(f3541,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(X0,e_2,e_4)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3526,f38]) ).
fof(f3542,plain,
( ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f3533,f2976]) ).
fof(f3543,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3533,f72]) ).
fof(f3544,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3533,f70]) ).
fof(f3545,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f3533,f68]) ).
fof(f3549,plain,
( ~ sQ116_spl
| ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f3534,f2187]) ).
fof(f3550,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f3534,f72]) ).
fof(f3551,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f3534,f70]) ).
fof(f3552,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f3534,f68]) ).
fof(f3553,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f3534,f74]) ).
fof(f3554,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3534,f40]) ).
fof(f3555,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f3534,f38]) ).
fof(f3556,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f3535,f72]) ).
fof(f3557,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3535,f70]) ).
fof(f3558,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f3535,f68]) ).
fof(f3559,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3535,f74]) ).
fof(f3560,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(e_3,e_1,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3535,f40]) ).
fof(f3561,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ82_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(X0,e_1,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3535,f38]) ).
fof(f3563,plain,
( ~ sQ107_spl
| ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f3542,f2118]) ).
fof(f3564,plain,
( ~ sQ82_spl
| ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f3542,f2113]) ).
fof(f3565,plain,
( ~ sQ107_spl
| ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f3542,f2119]) ).
fof(f3566,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3542,f72]) ).
fof(f3567,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f3542,f70]) ).
fof(f3568,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f3542,f68]) ).
fof(f3569,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3542,f74]) ).
fof(f3570,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(e_4,e_4,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f3542,f40]) ).
fof(f3571,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(X0,e_4,e_4)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3542,f38]) ).
fof(f3572,plain,
( ~ sQ82_spl
| ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f3564,f257,f348,f260,f361,f241,f414]) ).
fof(f3573,plain,
( ~ sQ107_spl
| ~ sQ31_spl
| ~ sQ67_spl
| ~ sQ82_spl
| ~ sQ37_spl
| ~ sQ63_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f3565,f254,f348,f260,f414,f361,f241,f499]) ).
fof(f3614,plain,
( ~ sQ107_spl
| ~ sQ45_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f3000,f500]) ).
fof(f3615,plain,
( ~ sQ107_spl
| ~ sQ45_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f3614,f380,f286,f499]) ).
fof(f3636,plain,
! [X0] :
( ~ sQ45_spl
| product(e_5,e_1,X0)
| product(e_4,e_1,X0)
| product(e_3,e_1,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f79,f3001]) ).
fof(f3637,plain,
( ~ sQ110_spl
| ~ sQ45_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f3001,f510]) ).
fof(f3638,plain,
( ~ sQ115_spl
| ~ sQ45_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f3001,f526]) ).
fof(f3639,plain,
( ~ sQ120_spl
| ~ sQ45_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f3001,f542]) ).
fof(f3640,plain,
( ~ sQ115_spl
| ~ sQ45_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f3638,f534,f286,f525]) ).
fof(f3641,plain,
( ~ sQ95_spl
| ~ sQ121_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3118,f525,f544,f456]) ).
fof(f3642,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ31_spl
| product(e_4,e_4,X0)
| product(e_4,e_3,X0)
| product(e_4,e_1,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f744,f2977]) ).
fof(f3643,plain,
( ~ sQ59_spl
| ~ sQ13_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1109,f260,f136,f335]) ).
fof(f3644,plain,
( ~ sQ59_spl
| ~ sQ13_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1112,f244,f136,f335]) ).
fof(f3645,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| product(e_4,e_4,e_5)
| product(e_4,e_3,e_5)
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f3642,f45]) ).
fof(f3646,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f3642,f44]) ).
fof(f3647,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| product(e_4,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f3642,f43]) ).
fof(f3648,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| product(e_4,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f3642,f42]) ).
fof(f3649,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| product(e_4,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f3642,f41]) ).
fof(f3650,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| sQ28_spl
| sQ53_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f3645,f486,f316,f231,f241,f250]) ).
fof(f3651,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| sQ33_spl
| sQ58_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f3646,f502,f332,f247,f241,f250]) ).
fof(f3652,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| sQ38_spl
| sQ63_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f3647,f518,f348,f263,f241,f250]) ).
fof(f3653,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| sQ43_spl
| sQ68_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f3648,f534,f364,f279,f241,f250]) ).
fof(f3654,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| sQ48_spl
| sQ73_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f3649,f550,f380,f295,f241,f250]) ).
fof(f3655,plain,
( ~ sQ33_spl
| ~ sQ83_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1822,f241,f417,f247]) ).
fof(f3656,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1596,f58]) ).
fof(f3657,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3656]) ).
fof(f3710,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1863,f68]) ).
fof(f3711,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1863,f74]) ).
fof(f3712,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| ~ product(e_4,e_1,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1863,f40]) ).
fof(f3713,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| ~ product(X0,e_1,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1863,f38]) ).
fof(f3714,plain,
( ~ sQ33_spl
| ~ sQ108_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3513,f1863]) ).
fof(f3715,plain,
( ~ sQ33_spl
| ~ sQ108_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3514,f1863]) ).
fof(f3717,plain,
( ~ sQ40_spl
| ~ sQ33_spl
| ~ sQ108_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f3515,f271]) ).
fof(f3718,plain,
( ~ sQ40_spl
| ~ sQ33_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3717,f52]) ).
fof(f3719,plain,
( ~ sQ40_spl
| ~ sQ33_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f3718]) ).
fof(f3731,plain,
( ~ sQ116_spl
| ~ sQ15_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f3029,f529]) ).
fof(f3733,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f3731,f72]) ).
fof(f3734,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f3731,f70]) ).
fof(f3735,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f3731,f68]) ).
fof(f3736,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f3731,f74]) ).
fof(f3737,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| ~ product(e_2,e_5,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f3731,f40]) ).
fof(f3738,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| ~ product(X0,e_5,e_2)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f3731,f38]) ).
fof(f3739,plain,
( ~ sQ116_spl
| ~ sQ15_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f3733,f3731]) ).
fof(f3740,plain,
( ~ sQ116_spl
| ~ sQ15_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3734,f3731]) ).
fof(f3742,plain,
( ~ sQ116_spl
| ~ sQ15_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f3030,f529]) ).
fof(f3743,plain,
( ~ sQ116_spl
| ~ sQ15_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f3742,f468,f143,f528]) ).
fof(f3744,plain,
( ~ sQ107_spl
| ~ sQ40_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f3034,f500]) ).
fof(f3745,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| ~ sQ40_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f3744,f2112]) ).
fof(f3747,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| ~ sQ40_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f3744,f2111]) ).
fof(f3748,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ40_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3744,f72]) ).
fof(f3749,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3744,f70]) ).
fof(f3750,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f3744,f68]) ).
fof(f3751,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ40_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3744,f74]) ).
fof(f3752,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ40_spl
| ~ product(e_2,e_4,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f3744,f40]) ).
fof(f3753,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ40_spl
| ~ product(X0,e_4,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3744,f38]) ).
fof(f3754,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| ~ sQ40_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f3747,f241,f270,f499,f414]) ).
fof(f3755,plain,
( ~ sQ116_spl
| ~ sQ40_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f3035,f529]) ).
fof(f3757,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f3755,f72]) ).
fof(f3758,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3755,f70]) ).
fof(f3759,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f3755,f68]) ).
fof(f3760,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3755,f74]) ).
fof(f3761,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ product(e_2,e_4,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f3755,f40]) ).
fof(f3762,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ product(X0,e_4,e_2)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3755,f38]) ).
fof(f3763,plain,
( ~ sQ116_spl
| ~ sQ40_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3757,f3755]) ).
fof(f3764,plain,
( ~ sQ116_spl
| ~ sQ40_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3758,f3755]) ).
fof(f3766,plain,
( ~ sQ116_spl
| ~ sQ40_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f3036,f529]) ).
fof(f3767,plain,
( ~ sQ116_spl
| ~ sQ40_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f3766,f465,f270,f528]) ).
fof(f3768,plain,
( ~ sQ106_spl
| ~ sQ84_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3088,f47]) ).
fof(f3769,plain,
( ~ sQ106_spl
| ~ sQ84_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3768]) ).
fof(f3790,plain,
( ~ sQ110_spl
| ~ sQ10_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f3048,f510]) ).
fof(f3791,plain,
( ~ sQ110_spl
| ~ sQ10_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f3790,f553,f127,f509]) ).
fof(f3803,plain,
( ~ sQ110_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f3068,f510]) ).
fof(f3804,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ94_spl
| product(e_2,e_3,X0)
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1080,f838]) ).
fof(f3806,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f112,f72]) ).
fof(f3807,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f112,f70]) ).
fof(f3808,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f112,f68]) ).
fof(f3809,plain,
! [X0] :
( ~ sQ5_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f112,f74]) ).
fof(f3810,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(e_4,e_1,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f112,f40]) ).
fof(f3811,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(X0,e_1,e_4)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f112,f38]) ).
fof(f3812,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f239,f72]) ).
fof(f3813,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f239,f70]) ).
fof(f3814,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f239,f68]) ).
fof(f3815,plain,
! [X0] :
( ~ sQ30_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f239,f74]) ).
fof(f3816,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_4,e_1,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f239,f40]) ).
fof(f3817,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(X0,e_1,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f239,f38]) ).
fof(f3818,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f324,f72]) ).
fof(f3819,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f324,f70]) ).
fof(f3820,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f324,f68]) ).
fof(f3821,plain,
! [X0] :
( ~ sQ55_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f324,f74]) ).
fof(f3822,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_4,e_1,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f324,f40]) ).
fof(f3823,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(X0,e_1,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f324,f38]) ).
fof(f3824,plain,
( ~ sQ106_spl
| ~ sQ80_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f409,f2990]) ).
fof(f3825,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f409,f72]) ).
fof(f3826,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f409,f70]) ).
fof(f3827,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f409,f68]) ).
fof(f3828,plain,
! [X0] :
( ~ sQ80_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f409,f74]) ).
fof(f3829,plain,
! [X0] :
( ~ sQ80_spl
| ~ product(e_4,e_1,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f409,f40]) ).
fof(f3830,plain,
! [X0] :
( ~ sQ80_spl
| ~ product(X0,e_1,e_4)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f409,f38]) ).
fof(f3831,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f494,f72]) ).
fof(f3832,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f494,f70]) ).
fof(f3833,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f494,f68]) ).
fof(f3834,plain,
! [X0] :
( ~ sQ105_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f494,f74]) ).
fof(f3835,plain,
! [X0] :
( ~ sQ105_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f494,f40]) ).
fof(f3836,plain,
! [X0] :
( ~ sQ105_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f494,f38]) ).
fof(f3837,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f96,f72]) ).
fof(f3838,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f96,f70]) ).
fof(f3839,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f96,f68]) ).
fof(f3840,plain,
! [X0] :
( ~ sQ0_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f96,f74]) ).
fof(f3841,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_5,e_1,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f96,f40]) ).
fof(f3842,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_1,e_5)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f96,f38]) ).
fof(f3843,plain,
( ~ sQ10_spl
| ~ sQ104_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f490,f3046]) ).
fof(f3844,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f490,f72]) ).
fof(f3845,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f490,f70]) ).
fof(f3846,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f490,f68]) ).
fof(f3847,plain,
! [X0] :
( ~ sQ104_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f490,f74]) ).
fof(f3848,plain,
! [X0] :
( ~ sQ104_spl
| ~ product(e_5,e_5,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f490,f40]) ).
fof(f3849,plain,
! [X0] :
( ~ sQ104_spl
| ~ product(X0,e_5,e_5)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f490,f38]) ).
fof(f3850,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f405,f72]) ).
fof(f3851,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f405,f70]) ).
fof(f3852,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f405,f68]) ).
fof(f3853,plain,
! [X0] :
( ~ sQ79_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f405,f74]) ).
fof(f3854,plain,
! [X0] :
( ~ sQ79_spl
| ~ product(e_5,e_5,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f405,f40]) ).
fof(f3855,plain,
! [X0] :
( ~ sQ79_spl
| ~ product(X0,e_5,e_5)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f405,f38]) ).
fof(f3856,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f320,f72]) ).
fof(f3857,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f320,f70]) ).
fof(f3858,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f320,f68]) ).
fof(f3859,plain,
! [X0] :
( ~ sQ54_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f320,f74]) ).
fof(f3860,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_5,e_5,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f320,f40]) ).
fof(f3861,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(X0,e_5,e_5)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f320,f38]) ).
fof(f3862,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f235,f72]) ).
fof(f3863,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f235,f70]) ).
fof(f3864,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f235,f68]) ).
fof(f3865,plain,
! [X0] :
( ~ sQ29_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f235,f74]) ).
fof(f3866,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_5,e_5,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f235,f40]) ).
fof(f3867,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(X0,e_5,e_5)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f235,f38]) ).
fof(f3868,plain,
( ~ sQ10_spl
| ~ sQ103_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f487,f3046]) ).
fof(f3869,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f487,f72]) ).
fof(f3870,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f487,f70]) ).
fof(f3871,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f487,f68]) ).
fof(f3872,plain,
! [X0] :
( ~ sQ103_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f487,f74]) ).
fof(f3873,plain,
! [X0] :
( ~ sQ103_spl
| ~ product(e_5,e_4,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f487,f40]) ).
fof(f3874,plain,
! [X0] :
( ~ sQ103_spl
| ~ product(X0,e_4,e_5)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f487,f38]) ).
fof(f3875,plain,
( ~ sQ10_spl
| ~ sQ103_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f3868,f266,f486,f127]) ).
fof(f3876,plain,
( ~ sQ106_spl
| ~ sQ78_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f402,f2989]) ).
fof(f3877,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f402,f72]) ).
fof(f3878,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f402,f70]) ).
fof(f3879,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f68]) ).
fof(f3880,plain,
! [X0] :
( ~ sQ78_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f402,f74]) ).
fof(f3881,plain,
! [X0] :
( ~ sQ78_spl
| ~ product(e_5,e_4,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f402,f40]) ).
fof(f3882,plain,
! [X0] :
( ~ sQ78_spl
| ~ product(X0,e_4,e_5)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f402,f38]) ).
fof(f3883,plain,
( ~ sQ49_spl
| ~ sQ7_spl
| ~ sQ53_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f317,f2472]) ).
fof(f3884,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f317,f72]) ).
fof(f3885,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f317,f70]) ).
fof(f3886,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f317,f68]) ).
fof(f3887,plain,
! [X0] :
( ~ sQ53_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f317,f74]) ).
fof(f3888,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_5,e_4,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f317,f40]) ).
fof(f3889,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(X0,e_4,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f317,f38]) ).
fof(f3890,plain,
( ~ sQ49_spl
| ~ sQ7_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3883,f62]) ).
fof(f3891,plain,
( ~ sQ49_spl
| ~ sQ7_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f3890]) ).
fof(f3892,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1975,f838]) ).
fof(f3893,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ92_spl
| ~ sQ93_spl
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1976,f1078]) ).
fof(f3894,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f232,f72]) ).
fof(f3895,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f232,f70]) ).
fof(f3896,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_5)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f232,f68]) ).
fof(f3897,plain,
! [X0] :
( ~ sQ28_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f232,f74]) ).
fof(f3898,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(e_5,e_4,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f232,f40]) ).
fof(f3899,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f232,f38]) ).
fof(f3900,plain,
( ~ sQ110_spl
| ~ sQ102_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f484,f3067]) ).
fof(f3901,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f484,f72]) ).
fof(f3902,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f484,f70]) ).
fof(f3903,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f484,f68]) ).
fof(f3904,plain,
! [X0] :
( ~ sQ102_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f484,f74]) ).
fof(f3905,plain,
! [X0] :
( ~ sQ102_spl
| ~ product(e_5,e_3,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f484,f40]) ).
fof(f3906,plain,
! [X0] :
( ~ sQ102_spl
| ~ product(X0,e_3,e_5)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f484,f38]) ).
fof(f3907,plain,
( ~ sQ86_spl
| ~ sQ77_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f399,f2213]) ).
fof(f3908,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f399,f72]) ).
fof(f3909,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f399,f70]) ).
fof(f3910,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f399,f68]) ).
fof(f3911,plain,
! [X0] :
( ~ sQ77_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f399,f74]) ).
fof(f3912,plain,
! [X0] :
( ~ sQ77_spl
| ~ product(e_5,e_3,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f399,f40]) ).
fof(f3913,plain,
! [X0] :
( ~ sQ77_spl
| ~ product(X0,e_3,e_5)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f399,f38]) ).
fof(f3914,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f314,f72]) ).
fof(f3915,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f314,f70]) ).
fof(f3916,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f314,f68]) ).
fof(f3917,plain,
! [X0] :
( ~ sQ52_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f314,f74]) ).
fof(f3918,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(e_5,e_3,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f314,f40]) ).
fof(f3919,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f314,f38]) ).
fof(f3920,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f229,f72]) ).
fof(f3921,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f229,f70]) ).
fof(f3922,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f229,f68]) ).
fof(f3923,plain,
! [X0] :
( ~ sQ27_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f229,f74]) ).
fof(f3924,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_5,e_3,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f229,f40]) ).
fof(f3925,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_3,e_5)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f229,f38]) ).
fof(f3926,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f481,f72]) ).
fof(f3927,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f481,f70]) ).
fof(f3928,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f68]) ).
fof(f3929,plain,
! [X0] :
( ~ sQ101_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f481,f74]) ).
fof(f3930,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(e_5,e_2,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f481,f40]) ).
fof(f3931,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(X0,e_2,e_5)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f481,f38]) ).
fof(f3932,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f3892,f45]) ).
fof(f3933,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f3892,f44]) ).
fof(f3934,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f3892,f43]) ).
fof(f3935,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f3892,f42]) ).
fof(f3936,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f3892,f41]) ).
fof(f3937,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| sQ76_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3932,f480,f395,f452,f446,f449]) ).
fof(f3938,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| sQ81_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3933,f496,f411,f452,f446,f449]) ).
fof(f3939,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| sQ86_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f3934,f512,f427,f452,f446,f449]) ).
fof(f3940,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| sQ91_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f3935,f528,f443,f452,f446,f449]) ).
fof(f3941,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ94_spl
| sQ96_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3936,f544,f459,f452,f446,f449]) ).
fof(f3942,plain,
( ~ sQ112_spl
| ~ sQ37_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2734,f47]) ).
fof(f3943,plain,
( ~ sQ112_spl
| ~ sQ37_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f3942]) ).
fof(f3944,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| 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)],[f3804,f45]) ).
fof(f3945,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| 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)],[f3804,f44]) ).
fof(f3946,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| 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)],[f3804,f43]) ).
fof(f3947,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| 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)],[f3804,f42]) ).
fof(f3948,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| 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)],[f3804,f41]) ).
fof(f3949,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| sQ51_spl
| sQ76_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3944,f480,f395,f310,f452,f449]) ).
fof(f3950,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| sQ56_spl
| sQ81_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3945,f496,f411,f326,f452,f449]) ).
fof(f3951,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| sQ61_spl
| sQ86_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f3946,f512,f427,f342,f452,f449]) ).
fof(f3952,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| sQ66_spl
| sQ91_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f3947,f528,f443,f358,f452,f449]) ).
fof(f3953,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| sQ71_spl
| sQ96_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3948,f544,f459,f374,f452,f449]) ).
fof(f3984,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3824,f72]) ).
fof(f3985,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f3824,f70]) ).
fof(f3986,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ80_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f3824,f68]) ).
fof(f3987,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ80_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f3824,f74]) ).
fof(f3988,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ80_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f3824,f40]) ).
fof(f3989,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ80_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f3824,f38]) ).
fof(f3990,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3876,f72]) ).
fof(f3991,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f3876,f70]) ).
fof(f3992,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3876,f68]) ).
fof(f3993,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ78_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3876,f74]) ).
fof(f3994,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ78_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f3876,f40]) ).
fof(f3995,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ78_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3876,f38]) ).
fof(f3996,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3900,f72]) ).
fof(f3997,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f3900,f70]) ).
fof(f3998,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3900,f68]) ).
fof(f3999,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3900,f74]) ).
fof(f4000,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| ~ product(e_5,e_1,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f3900,f40]) ).
fof(f4001,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| ~ product(X0,e_1,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3900,f38]) ).
fof(f4002,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3907,f72]) ).
fof(f4003,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f3907,f70]) ).
fof(f4004,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ77_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3907,f68]) ).
fof(f4005,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ77_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f3907,f74]) ).
fof(f4006,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ77_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f3907,f40]) ).
fof(f4007,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ77_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3907,f38]) ).
fof(f4008,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f717,f72]) ).
fof(f4009,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f717,f70]) ).
fof(f4010,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f717,f68]) ).
fof(f4011,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f717,f74]) ).
fof(f4012,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f717,f40]) ).
fof(f4013,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f717,f38]) ).
fof(f4014,plain,
( ~ sQ53_spl
| ~ sQ2_spl
| ~ sQ39_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2566,f317]) ).
fof(f4016,plain,
( ~ sQ52_spl
| ~ sQ2_spl
| ~ sQ39_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2564,f314]) ).
fof(f4018,plain,
( ~ sQ54_spl
| ~ sQ2_spl
| ~ sQ39_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2564,f320]) ).
fof(f4019,plain,
( ~ sQ110_spl
| ~ sQ102_spl
| ~ sQ2_spl
| ~ sQ39_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2564,f3900]) ).
fof(f4022,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f3843,f72]) ).
fof(f4024,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f3843,f68]) ).
fof(f4025,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f3843,f74]) ).
fof(f4026,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| ~ product(e_3,e_5,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f3843,f40]) ).
fof(f4027,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f3843,f38]) ).
fof(f4029,plain,
( ~ sQ10_spl
| ~ sQ104_spl
| ~ sQ18_spl
| ~ sQ44_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2332,f3843]) ).
fof(f4030,plain,
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2332,f717]) ).
fof(f4031,plain,
( ~ sQ10_spl
| ~ sQ104_spl
| ~ sQ18_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4029,f56]) ).
fof(f4032,plain,
( ~ sQ10_spl
| ~ sQ104_spl
| ~ sQ18_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f4031]) ).
fof(f4033,plain,
( ~ sQ106_spl
| ~ sQ80_spl
| ~ sQ95_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f3016,f3824]) ).
fof(f4034,plain,
( ~ sQ106_spl
| ~ sQ80_spl
| ~ sQ95_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f4033,f544,f456,f408,f496]) ).
fof(f4035,plain,
! [X0] :
( ~ sQ95_spl
| product(e_5,e_1,X0)
| product(e_4,e_1,X0)
| product(e_3,e_1,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f79,f3017]) ).
fof(f4036,plain,
( ~ sQ105_spl
| ~ sQ95_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f3017,f494]) ).
fof(f4037,plain,
( ~ sQ120_spl
| ~ sQ95_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f3017,f542]) ).
fof(f4038,plain,
( ~ sQ95_spl
| 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) ),
inference(resolution,[status(thm)],[f4035,f45]) ).
fof(f4039,plain,
( ~ sQ95_spl
| 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) ),
inference(resolution,[status(thm)],[f4035,f44]) ).
fof(f4040,plain,
( ~ sQ95_spl
| 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) ),
inference(resolution,[status(thm)],[f4035,f43]) ).
fof(f4041,plain,
( ~ sQ95_spl
| 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) ),
inference(resolution,[status(thm)],[f4035,f42]) ).
fof(f4042,plain,
( ~ sQ95_spl
| 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) ),
inference(resolution,[status(thm)],[f4035,f41]) ).
fof(f4043,plain,
( ~ sQ95_spl
| sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f4038,f480,f483,f486,f489,f456]) ).
fof(f4044,plain,
( ~ sQ95_spl
| sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f4039,f496,f499,f502,f505,f456]) ).
fof(f4045,plain,
( ~ sQ95_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f4040,f512,f515,f518,f521,f456]) ).
fof(f4046,plain,
( ~ sQ95_spl
| sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f4041,f528,f531,f534,f537,f456]) ).
fof(f4047,plain,
( ~ sQ95_spl
| sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f4042,f544,f547,f550,f553,f456]) ).
fof(f4058,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ95_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4036,f72]) ).
fof(f4059,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f4036,f70]) ).
fof(f4060,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ95_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4036,f68]) ).
fof(f4061,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ95_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4036,f74]) ).
fof(f4062,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ95_spl
| ~ product(e_4,e_2,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f4036,f40]) ).
fof(f4063,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ95_spl
| ~ product(X0,e_2,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f4036,f38]) ).
fof(f4064,plain,
( ~ sQ120_spl
| ~ sQ95_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f4037,f3022]) ).
fof(f4065,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f4037,f72]) ).
fof(f4066,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4037,f70]) ).
fof(f4067,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4037,f68]) ).
fof(f4068,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4037,f74]) ).
fof(f4069,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(e_1,e_2,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f4037,f40]) ).
fof(f4070,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(X0,e_2,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f4037,f38]) ).
fof(f4071,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3900,f72]) ).
fof(f4072,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f3900,f70]) ).
fof(f4073,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3900,f68]) ).
fof(f4074,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3900,f74]) ).
fof(f4075,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| ~ product(e_5,e_1,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f3900,f40]) ).
fof(f4076,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ102_spl
| ~ product(X0,e_1,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3900,f38]) ).
fof(f4077,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1353,f72]) ).
fof(f4078,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1353,f70]) ).
fof(f4079,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1353,f68]) ).
fof(f4080,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1353,f74]) ).
fof(f4081,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| ~ product(e_3,e_1,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1353,f40]) ).
fof(f4082,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| ~ product(X0,e_1,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1353,f38]) ).
fof(f4083,plain,
( ~ sQ106_spl
| ~ sQ120_spl
| ~ sQ95_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f4064,f2988]) ).
fof(f4084,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4064,f72]) ).
fof(f4085,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f4064,f70]) ).
fof(f4086,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f4064,f68]) ).
fof(f4089,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(X0,e_1,e_1)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4064,f38]) ).
fof(f4090,plain,
( ~ sQ27_spl
| ~ sQ106_spl
| ~ sQ78_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3990,f229]) ).
fof(f4091,plain,
( ~ sQ28_spl
| ~ sQ106_spl
| ~ sQ78_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f3990,f232]) ).
fof(f4092,plain,
( ~ sQ29_spl
| ~ sQ106_spl
| ~ sQ78_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f3990,f235]) ).
fof(f4093,plain,
( ~ sQ106_spl
| ~ sQ78_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3990,f3876]) ).
fof(f4094,plain,
( ~ sQ27_spl
| ~ sQ106_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4090,f54]) ).
fof(f4095,plain,
( ~ sQ27_spl
| ~ sQ106_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f4094]) ).
fof(f4096,plain,
( ~ sQ86_spl
| ~ sQ77_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4002,f3907]) ).
fof(f4098,plain,
( ~ sQ53_spl
| ~ sQ86_spl
| ~ sQ77_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f4002,f317]) ).
fof(f4103,plain,
( ~ sQ52_spl
| ~ sQ110_spl
| ~ sQ102_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3996,f314]) ).
fof(f4104,plain,
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ102_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f3996,f317]) ).
fof(f4105,plain,
( ~ sQ54_spl
| ~ sQ110_spl
| ~ sQ102_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f3996,f320]) ).
fof(f4106,plain,
( ~ sQ110_spl
| ~ sQ102_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3996,f3900]) ).
fof(f4107,plain,
( ~ sQ52_spl
| ~ sQ110_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4103,f54]) ).
fof(f4108,plain,
( ~ sQ52_spl
| ~ sQ110_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f4107]) ).
fof(f4109,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1354,f72]) ).
fof(f4110,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1354,f70]) ).
fof(f4111,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1354,f68]) ).
fof(f4112,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1354,f74]) ).
fof(f4113,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| ~ product(e_5,e_1,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1354,f40]) ).
fof(f4114,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ12_spl
| ~ product(X0,e_1,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1354,f38]) ).
fof(f4115,plain,
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1456,f1353]) ).
fof(f4116,plain,
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1457,f1354]) ).
fof(f4117,plain,
( ~ sQ114_spl
| ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1457,f1353]) ).
fof(f4118,plain,
( ~ sQ55_spl
| ~ sQ114_spl
| ~ sQ12_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1457,f324]) ).
fof(f4119,plain,
( ~ sQ114_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4116,f64]) ).
fof(f4120,plain,
( ~ sQ114_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4119]) ).
fof(f4141,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3381,f72]) ).
fof(f4142,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f3381,f70]) ).
fof(f4143,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3381,f68]) ).
fof(f4144,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3381,f74]) ).
fof(f4145,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3381,f40]) ).
fof(f4146,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3381,f38]) ).
fof(f4147,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3380,f72]) ).
fof(f4148,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3380,f70]) ).
fof(f4149,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3380,f68]) ).
fof(f4150,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3380,f74]) ).
fof(f4151,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| ~ product(e_4,e_3,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3380,f40]) ).
fof(f4152,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3380,f38]) ).
fof(f4154,plain,
( ~ sQ91_spl
| ~ sQ116_spl
| ~ sQ15_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f3731,f2180]) ).
fof(f4155,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f3731,f72]) ).
fof(f4156,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f3731,f70]) ).
fof(f4157,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f3731,f68]) ).
fof(f4158,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f3731,f74]) ).
fof(f4159,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| ~ product(e_2,e_5,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f3731,f40]) ).
fof(f4160,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ15_spl
| ~ product(X0,e_5,e_2)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f3731,f38]) ).
fof(f4162,plain,
( ~ sQ91_spl
| ~ sQ116_spl
| ~ sQ15_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f4154,f146,f143,f528,f443]) ).
fof(f4163,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1246,f72]) ).
fof(f4164,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1246,f70]) ).
fof(f4165,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1246,f68]) ).
fof(f4166,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1246,f74]) ).
fof(f4167,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1246,f40]) ).
fof(f4168,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1246,f38]) ).
fof(f4172,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f685,f74]) ).
fof(f4173,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f685,f40]) ).
fof(f4174,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f685,f38]) ).
fof(f4175,plain,
( ~ sQ105_spl
| ~ sQ95_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4058,f4036]) ).
fof(f4180,plain,
( ~ sQ106_spl
| ~ sQ120_spl
| ~ sQ95_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f4083,f493,f456,f541,f496]) ).
fof(f4214,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3381,f72]) ).
fof(f4215,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f3381,f70]) ).
fof(f4216,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3381,f68]) ).
fof(f4217,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3381,f74]) ).
fof(f4218,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3381,f40]) ).
fof(f4219,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3381,f38]) ).
fof(f4220,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3380,f72]) ).
fof(f4221,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3380,f70]) ).
fof(f4222,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3380,f68]) ).
fof(f4223,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3380,f74]) ).
fof(f4224,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| ~ product(e_4,e_3,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3380,f40]) ).
fof(f4225,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3380,f38]) ).
fof(f4226,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1246,f72]) ).
fof(f4227,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1246,f70]) ).
fof(f4228,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1246,f68]) ).
fof(f4229,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1246,f74]) ).
fof(f4230,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1246,f40]) ).
fof(f4231,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ8_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1246,f38]) ).
fof(f4235,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f685,f74]) ).
fof(f4236,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f685,f40]) ).
fof(f4237,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ49_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f685,f38]) ).
fof(f4238,plain,
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3383,f3381]) ).
fof(f4239,plain,
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f3384,f3380]) ).
fof(f4240,plain,
( ~ sQ35_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3384,f3381]) ).
fof(f4241,plain,
( ~ sQ35_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4239,f60]) ).
fof(f4242,plain,
( ~ sQ35_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f4241]) ).
fof(f4243,plain,
( ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ71_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2267,f405]) ).
fof(f4244,plain,
( ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4243,f64]) ).
fof(f4245,plain,
( ~ sQ79_spl
| ~ sQ22_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4244]) ).
fof(f4246,plain,
( ~ sQ55_spl
| ~ sQ109_spl
| ~ sQ8_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1379,f324]) ).
fof(f4247,plain,
( ~ sQ30_spl
| ~ sQ109_spl
| ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1379,f239]) ).
fof(f4248,plain,
( ~ sQ5_spl
| ~ sQ109_spl
| ~ sQ8_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1379,f112]) ).
fof(f4249,plain,
( ~ sQ55_spl
| ~ sQ109_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4246,f56]) ).
fof(f4250,plain,
( ~ sQ55_spl
| ~ sQ109_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4249]) ).
fof(f4252,plain,
( ~ sQ5_spl
| ~ sQ23_spl
| ~ sQ49_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f692,f112]) ).
fof(f4253,plain,
( ~ sQ5_spl
| ~ sQ23_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4252,f49]) ).
fof(f4254,plain,
( ~ sQ5_spl
| ~ sQ23_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f4253]) ).
fof(f4265,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ123_spl
| product(e_1,e_3,X0)
| product(e_1,e_2,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f879,f1025]) ).
fof(f4266,plain,
( ~ sQ30_spl
| ~ sQ123_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1025,f239]) ).
fof(f4267,plain,
( ~ sQ30_spl
| ~ sQ123_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f4266,f493,f550,f238]) ).
fof(f4268,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| 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)],[f4265,f45]) ).
fof(f4269,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| 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)],[f4265,f44]) ).
fof(f4270,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| 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)],[f4265,f43]) ).
fof(f4271,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| 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)],[f4265,f42]) ).
fof(f4272,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| 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)],[f4265,f41]) ).
fof(f4273,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| sQ50_spl
| sQ75_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f4268,f477,f392,f307,f550,f553]) ).
fof(f4274,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| sQ55_spl
| sQ80_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f4269,f493,f408,f323,f550,f553]) ).
fof(f4275,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| sQ60_spl
| sQ85_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f4270,f509,f424,f339,f550,f553]) ).
fof(f4276,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| sQ65_spl
| sQ90_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f4271,f525,f440,f355,f550,f553]) ).
fof(f4277,plain,
( ~ sQ124_spl
| ~ sQ123_spl
| sQ70_spl
| sQ95_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f4272,f541,f456,f371,f550,f553]) ).
fof(f4288,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f1265,f232]) ).
fof(f4289,plain,
( ~ sQ101_spl
| ~ sQ115_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f3041,f481]) ).
fof(f4290,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4289,f72]) ).
fof(f4291,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f4289,f70]) ).
fof(f4292,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ115_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f4289,f68]) ).
fof(f4293,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ115_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f4289,f74]) ).
fof(f4294,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ115_spl
| ~ product(e_5,e_1,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f4289,f40]) ).
fof(f4295,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ115_spl
| ~ product(X0,e_1,e_5)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4289,f38]) ).
fof(f4296,plain,
( ~ sQ101_spl
| ~ sQ115_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4290,f4289]) ).
fof(f4297,plain,
( ~ sQ101_spl
| ~ sQ115_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4291,f4289]) ).
fof(f4298,plain,
( ~ sQ0_spl
| ~ sQ101_spl
| ~ sQ115_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f4291,f96]) ).
fof(f4299,plain,
( ~ sQ0_spl
| ~ sQ101_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4298,f63]) ).
fof(f4300,plain,
( ~ sQ0_spl
| ~ sQ101_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f4299]) ).
fof(f4301,plain,
! [X0] :
( ~ sQ1_spl
| product(e_5,e_5,X0)
| product(e_5,e_4,X0)
| product(e_5,e_3,X0)
| product(e_5,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f80,f2995]) ).
fof(f4302,plain,
( ~ sQ1_spl
| 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_1,e_5) ),
inference(resolution,[status(thm)],[f4301,f45]) ).
fof(f4303,plain,
( ~ sQ1_spl
| 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_1,e_4) ),
inference(resolution,[status(thm)],[f4301,f44]) ).
fof(f4304,plain,
( ~ sQ1_spl
| 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_1,e_3) ),
inference(resolution,[status(thm)],[f4301,f43]) ).
fof(f4305,plain,
( ~ sQ1_spl
| 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_1,e_2) ),
inference(resolution,[status(thm)],[f4301,f42]) ).
fof(f4306,plain,
( ~ sQ1_spl
| 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_1,e_1) ),
inference(resolution,[status(thm)],[f4301,f41]) ).
fof(f4307,plain,
( ~ sQ1_spl
| sQ4_spl
| sQ29_spl
| sQ54_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f4302,f489,f319,f234,f107,f98]) ).
fof(f4308,plain,
( ~ sQ1_spl
| sQ9_spl
| sQ34_spl
| sQ59_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f4303,f505,f335,f250,f123,f98]) ).
fof(f4309,plain,
( ~ sQ1_spl
| sQ14_spl
| sQ39_spl
| sQ64_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f4304,f521,f351,f266,f139,f98]) ).
fof(f4310,plain,
( ~ sQ1_spl
| sQ19_spl
| sQ44_spl
| sQ69_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f4305,f537,f367,f282,f155,f98]) ).
fof(f4311,plain,
( ~ sQ1_spl
| sQ24_spl
| sQ49_spl
| sQ74_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f4306,f553,f383,f298,f171,f98]) ).
fof(f4312,plain,
( ~ sQ69_spl
| ~ sQ13_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1113,f276,f136,f367]) ).
fof(f4313,plain,
( ~ sQ32_spl
| ~ sQ48_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f2326,f380,f295,f244]) ).
fof(f4314,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1480,f348,f263,f260]) ).
fof(f4345,plain,
( ~ sQ104_spl
| ~ sQ0_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f3840,f490]) ).
fof(f4346,plain,
( ~ sQ104_spl
| ~ sQ0_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f4345,f107,f95,f489]) ).
fof(f4347,plain,
! [X0] :
( ~ sQ0_spl
| product(e_5,e_5,X0)
| product(e_5,e_4,X0)
| product(e_5,e_3,X0)
| product(e_5,e_2,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f80,f3841]) ).
fof(f4348,plain,
( ~ sQ0_spl
| 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) ),
inference(resolution,[status(thm)],[f4347,f45]) ).
fof(f4349,plain,
( ~ sQ0_spl
| 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) ),
inference(resolution,[status(thm)],[f4347,f44]) ).
fof(f4350,plain,
( ~ sQ0_spl
| 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) ),
inference(resolution,[status(thm)],[f4347,f43]) ).
fof(f4351,plain,
( ~ sQ0_spl
| 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) ),
inference(resolution,[status(thm)],[f4347,f42]) ).
fof(f4352,plain,
( ~ sQ0_spl
| 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) ),
inference(resolution,[status(thm)],[f4347,f41]) ).
fof(f4353,plain,
( ~ sQ0_spl
| sQ4_spl
| sQ29_spl
| sQ54_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f4348,f404,f319,f234,f107,f95]) ).
fof(f4354,plain,
( ~ sQ0_spl
| sQ9_spl
| sQ34_spl
| sQ59_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f4349,f420,f335,f250,f123,f95]) ).
fof(f4355,plain,
( ~ sQ0_spl
| sQ14_spl
| sQ39_spl
| sQ64_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f4350,f436,f351,f266,f139,f95]) ).
fof(f4356,plain,
( ~ sQ0_spl
| sQ19_spl
| sQ44_spl
| sQ69_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f4351,f452,f367,f282,f155,f95]) ).
fof(f4357,plain,
( ~ sQ0_spl
| sQ24_spl
| sQ49_spl
| sQ74_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f4352,f468,f383,f298,f171,f95]) ).
fof(f4378,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f3843,f72]) ).
fof(f4379,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f3843,f70]) ).
fof(f4380,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f3843,f68]) ).
fof(f4381,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f3843,f74]) ).
fof(f4382,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| ~ product(e_3,e_5,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f3843,f40]) ).
fof(f4383,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ104_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f3843,f38]) ).
fof(f4387,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1317,f74]) ).
fof(f4388,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1317,f40]) ).
fof(f4389,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1317,f38]) ).
fof(f4390,plain,
( ~ sQ10_spl
| ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f4022,f3843]) ).
fof(f4392,plain,
( ~ sQ10_spl
| ~ sQ104_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4024,f3843]) ).
fof(f4393,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1607,f1317]) ).
fof(f4394,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1608,f1317]) ).
fof(f4395,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1609,f1317]) ).
fof(f4396,plain,
( ~ sQ55_spl
| ~ sQ114_spl
| ~ sQ17_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1609,f324]) ).
fof(f4397,plain,
( ~ sQ55_spl
| ~ sQ114_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4396,f59]) ).
fof(f4398,plain,
( ~ sQ55_spl
| ~ sQ114_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4397]) ).
fof(f4399,plain,
( ~ sQ93_spl
| ~ sQ84_spl
| ~ sQ3_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f1280,f1078]) ).
fof(f4400,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1280,f72]) ).
fof(f4401,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1280,f70]) ).
fof(f4402,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1280,f68]) ).
fof(f4403,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1280,f74]) ).
fof(f4404,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| ~ product(e_5,e_2,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1280,f40]) ).
fof(f4405,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ3_spl
| ~ product(X0,e_2,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1280,f38]) ).
fof(f4406,plain,
( ~ sQ44_spl
| ~ sQ18_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f717,f721]) ).
fof(f4407,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f717,f72]) ).
fof(f4408,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f717,f70]) ).
fof(f4409,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f717,f68]) ).
fof(f4410,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f717,f74]) ).
fof(f4411,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f717,f40]) ).
fof(f4412,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f717,f38]) ).
fof(f4413,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4399,f72]) ).
fof(f4414,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f4399,f70]) ).
fof(f4415,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ84_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f4399,f68]) ).
fof(f4416,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ84_spl
| ~ sQ3_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f4399,f74]) ).
fof(f4417,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ84_spl
| ~ sQ3_spl
| ~ product(e_5,e_2,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f4399,f40]) ).
fof(f4418,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ84_spl
| ~ sQ3_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f4399,f38]) ).
fof(f4419,plain,
( ~ sQ44_spl
| ~ sQ18_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f4406,f723]) ).
fof(f4420,plain,
( ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f4406,f837]) ).
fof(f4421,plain,
( ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f4406,f839]) ).
fof(f4422,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4406,f72]) ).
fof(f4423,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f4406,f70]) ).
fof(f4424,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4406,f68]) ).
fof(f4428,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f4420,f1078]) ).
fof(f4429,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f4420,f1077]) ).
fof(f4430,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f4420,f1079]) ).
fof(f4431,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4420,f72]) ).
fof(f4432,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f4420,f70]) ).
fof(f4433,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4420,f68]) ).
fof(f4434,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4420,f74]) ).
fof(f4435,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| ~ product(e_2,e_2,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f4420,f40]) ).
fof(f4436,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| ~ product(X0,e_2,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f4420,f38]) ).
fof(f4437,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ44_spl
| ~ sQ18_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f4430,f411,f152,f282,f452,f449]) ).
fof(f4438,plain,
( ~ sQ42_spl
| ~ sQ88_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1742,f342,f433,f276]) ).
fof(f4439,plain,
( ~ sQ42_spl
| ~ sQ88_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1744,f358,f433,f276]) ).
fof(f4460,plain,
( ~ sQ84_spl
| ~ sQ3_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2916,f1280]) ).
fof(f4462,plain,
( ~ sQ27_spl
| ~ sQ84_spl
| ~ sQ3_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2914,f229]) ).
fof(f4463,plain,
( ~ sQ28_spl
| ~ sQ84_spl
| ~ sQ3_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2914,f232]) ).
fof(f4464,plain,
( ~ sQ29_spl
| ~ sQ84_spl
| ~ sQ3_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2914,f235]) ).
fof(f4465,plain,
( ~ sQ27_spl
| ~ sQ84_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4462,f55]) ).
fof(f4466,plain,
( ~ sQ27_spl
| ~ sQ84_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f4465]) ).
fof(f4467,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2120,f72]) ).
fof(f4468,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2120,f70]) ).
fof(f4469,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2120,f68]) ).
fof(f4470,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2120,f74]) ).
fof(f4471,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2120,f40]) ).
fof(f4472,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ2_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2120,f38]) ).
fof(f4473,plain,
( ~ sQ89_spl
| ~ sQ2_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2246,f2120]) ).
fof(f4474,plain,
( ~ sQ52_spl
| ~ sQ89_spl
| ~ sQ2_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2246,f314]) ).
fof(f4475,plain,
( ~ sQ53_spl
| ~ sQ89_spl
| ~ sQ2_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2246,f317]) ).
fof(f4476,plain,
( ~ sQ54_spl
| ~ sQ89_spl
| ~ sQ2_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2246,f320]) ).
fof(f4477,plain,
( ~ sQ52_spl
| ~ sQ89_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4474,f55]) ).
fof(f4478,plain,
( ~ sQ52_spl
| ~ sQ89_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f4477]) ).
fof(f4479,plain,
( ~ sQ53_spl
| ~ sQ89_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4475,f59]) ).
fof(f4480,plain,
( ~ sQ53_spl
| ~ sQ89_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f4479]) ).
fof(f4491,plain,
! [X0] :
( ~ sQ54_spl
| 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(backward_subsumption_resolution,[status(thm)],[f75,f3860]) ).
fof(f4492,plain,
( ~ sQ54_spl
| 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)],[f4491,f45]) ).
fof(f4493,plain,
( ~ sQ54_spl
| 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)],[f4491,f44]) ).
fof(f4494,plain,
( ~ sQ54_spl
| 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)],[f4491,f43]) ).
fof(f4495,plain,
( ~ sQ54_spl
| 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)],[f4491,f42]) ).
fof(f4496,plain,
( ~ sQ54_spl
| 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)],[f4491,f41]) ).
fof(f4497,plain,
( ~ sQ54_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4492,f95,f98,f101,f104,f319]) ).
fof(f4498,plain,
( ~ sQ54_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4493,f111,f114,f117,f120,f319]) ).
fof(f4499,plain,
( ~ sQ54_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f4494,f127,f130,f133,f136,f319]) ).
fof(f4500,plain,
( ~ sQ54_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f4495,f143,f146,f149,f152,f319]) ).
fof(f4501,plain,
( ~ sQ54_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f4496,f159,f162,f165,f168,f319]) ).
fof(f4502,plain,
( ~ sQ106_spl
| ~ sQ80_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3824,f525,f408,f496]) ).
fof(f4503,plain,
( ~ sQ54_spl
| ~ sQ110_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4105,f62]) ).
fof(f4504,plain,
( ~ sQ54_spl
| ~ sQ110_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f4503]) ).
fof(f4505,plain,
( ~ sQ95_spl
| ~ sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f3105,f541,f544,f456]) ).
fof(f4507,plain,
( ~ sQ41_spl
| ~ sQ89_spl
| ~ sQ11_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f3275,f401,f130,f436,f273]) ).
fof(f4588,plain,
! [X0] :
( ~ sQ29_spl
| 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(backward_subsumption_resolution,[status(thm)],[f75,f3866]) ).
fof(f4589,plain,
( ~ sQ29_spl
| 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)],[f4588,f45]) ).
fof(f4590,plain,
( ~ sQ29_spl
| 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)],[f4588,f44]) ).
fof(f4591,plain,
( ~ sQ29_spl
| 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)],[f4588,f43]) ).
fof(f4592,plain,
( ~ sQ29_spl
| 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)],[f4588,f42]) ).
fof(f4593,plain,
( ~ sQ29_spl
| 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)],[f4588,f41]) ).
fof(f4594,plain,
( ~ sQ29_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4589,f95,f98,f101,f104,f234]) ).
fof(f4595,plain,
( ~ sQ29_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4590,f111,f114,f117,f120,f234]) ).
fof(f4596,plain,
( ~ sQ29_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f4591,f127,f130,f133,f136,f234]) ).
fof(f4597,plain,
( ~ sQ29_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f4592,f143,f146,f149,f152,f234]) ).
fof(f4598,plain,
( ~ sQ29_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f4593,f159,f162,f165,f168,f234]) ).
fof(f4599,plain,
( ~ sQ67_spl
| ~ sQ68_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1816,f52]) ).
fof(f4600,plain,
( ~ sQ67_spl
| ~ sQ68_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4599]) ).
fof(f4611,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1747,f72]) ).
fof(f4614,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1747,f74]) ).
fof(f4626,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1304,f74]) ).
fof(f4627,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1304,f40]) ).
fof(f4628,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| ~ product(X0,e_5,e_2)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1304,f38]) ).
fof(f4629,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ88_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1754,f1747]) ).
fof(f4630,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ42_spl
| ~ sQ88_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1754,f1304]) ).
fof(f4631,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4629,f46]) ).
fof(f4632,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f4631]) ).
fof(f4634,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ42_spl
| ~ sQ113_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1772,f1304]) ).
fof(f4635,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ42_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4634,f62]) ).
fof(f4636,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ42_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f4635]) ).
fof(f4637,plain,
( ~ sQ38_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1484,f247,f263]) ).
fof(f4638,plain,
( ~ sQ120_spl
| ~ sQ45_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f3639,f550,f286,f541]) ).
fof(f4639,plain,
( ~ sQ52_spl
| ~ sQ2_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4016,f56]) ).
fof(f4640,plain,
( ~ sQ52_spl
| ~ sQ2_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f4639]) ).
fof(f4641,plain,
( ~ sQ116_spl
| ~ sQ15_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f3731,f452,f143,f528]) ).
fof(f4642,plain,
( ~ sQ23_spl
| ~ sQ48_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f918,f250,f295,f168]) ).
fof(f4643,plain,
( ~ sQ84_spl
| ~ sQ23_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f933,f52]) ).
fof(f4644,plain,
( ~ sQ84_spl
| ~ sQ23_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f4643]) ).
fof(f4645,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f3898,f235]) ).
fof(f4646,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f4645,f104,f231,f234]) ).
fof(f4647,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f396,f72]) ).
fof(f4648,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f396,f70]) ).
fof(f4649,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f396,f68]) ).
fof(f4650,plain,
! [X0] :
( ~ sQ76_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f396,f74]) ).
fof(f4651,plain,
! [X0] :
( ~ sQ76_spl
| ~ product(e_5,e_2,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f396,f40]) ).
fof(f4652,plain,
! [X0] :
( ~ sQ76_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f396,f38]) ).
fof(f4653,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f311,f72]) ).
fof(f4654,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f311,f70]) ).
fof(f4655,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f311,f68]) ).
fof(f4656,plain,
! [X0] :
( ~ sQ51_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f311,f74]) ).
fof(f4657,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f311,f40]) ).
fof(f4658,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f311,f38]) ).
fof(f4659,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f226,f72]) ).
fof(f4660,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f226,f70]) ).
fof(f4661,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f226,f68]) ).
fof(f4662,plain,
! [X0] :
( ~ sQ26_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f226,f74]) ).
fof(f4663,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_5,e_2,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f226,f40]) ).
fof(f4664,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(X0,e_2,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f226,f38]) ).
fof(f4665,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f478,f72]) ).
fof(f4666,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f478,f70]) ).
fof(f4667,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f478,f68]) ).
fof(f4668,plain,
! [X0] :
( ~ sQ100_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f478,f74]) ).
fof(f4669,plain,
! [X0] :
( ~ sQ100_spl
| ~ product(e_5,e_1,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f478,f40]) ).
fof(f4670,plain,
! [X0] :
( ~ sQ100_spl
| ~ product(X0,e_1,e_5)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f478,f38]) ).
fof(f4671,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f393,f72]) ).
fof(f4672,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f393,f70]) ).
fof(f4673,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f393,f68]) ).
fof(f4674,plain,
! [X0] :
( ~ sQ75_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f393,f74]) ).
fof(f4675,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(e_5,e_1,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f393,f40]) ).
fof(f4676,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(X0,e_1,e_5)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f393,f38]) ).
fof(f4677,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f308,f72]) ).
fof(f4678,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f308,f70]) ).
fof(f4679,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f308,f68]) ).
fof(f4680,plain,
! [X0] :
( ~ sQ50_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f308,f74]) ).
fof(f4681,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_5,e_1,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f308,f40]) ).
fof(f4682,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(X0,e_1,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f308,f38]) ).
fof(f4683,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f223,f72]) ).
fof(f4684,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f223,f70]) ).
fof(f4685,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f223,f68]) ).
fof(f4686,plain,
! [X0] :
( ~ sQ25_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f223,f74]) ).
fof(f4687,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f223,f40]) ).
fof(f4688,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f223,f38]) ).
fof(f4691,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f124,f72]) ).
fof(f4692,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f124,f70]) ).
fof(f4693,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f124,f68]) ).
fof(f4694,plain,
! [X0] :
( ~ sQ9_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f124,f74]) ).
fof(f4695,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f124,f40]) ).
fof(f4696,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f124,f38]) ).
fof(f4699,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f140,f72]) ).
fof(f4700,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f140,f70]) ).
fof(f4701,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f140,f68]) ).
fof(f4702,plain,
! [X0] :
( ~ sQ14_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f140,f74]) ).
fof(f4703,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(e_3,e_5,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f140,f40]) ).
fof(f4704,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f140,f38]) ).
fof(f4705,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f441,f72]) ).
fof(f4706,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f441,f70]) ).
fof(f4707,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f441,f68]) ).
fof(f4708,plain,
! [X0] :
( ~ sQ90_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f441,f74]) ).
fof(f4709,plain,
! [X0] :
( ~ sQ90_spl
| ~ product(e_2,e_1,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f441,f40]) ).
fof(f4710,plain,
! [X0] :
( ~ sQ90_spl
| ~ product(X0,e_1,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f441,f38]) ).
fof(f4794,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1863,f74]) ).
fof(f4795,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| ~ product(e_4,e_1,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1863,f40]) ).
fof(f4796,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ108_spl
| ~ product(X0,e_1,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1863,f38]) ).
fof(f4797,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f4037,f72]) ).
fof(f4798,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4037,f70]) ).
fof(f4799,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4037,f68]) ).
fof(f4800,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4037,f74]) ).
fof(f4801,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(e_1,e_2,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f4037,f40]) ).
fof(f4802,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(X0,e_2,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f4037,f38]) ).
fof(f4803,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4064,f72]) ).
fof(f4804,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f4064,f70]) ).
fof(f4805,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f4064,f68]) ).
fof(f4806,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f4064,f74]) ).
fof(f4807,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(e_1,e_1,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4064,f40]) ).
fof(f4808,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(X0,e_1,e_1)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4064,f38]) ).
fof(f4810,plain,
( ~ sQ50_spl
| ~ sQ27_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f3925,f308]) ).
fof(f4811,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f3925,f311]) ).
fof(f4812,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f4810,f72]) ).
fof(f4813,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f4810,f70]) ).
fof(f4814,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f4810,f68]) ).
fof(f4815,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4810,f74]) ).
fof(f4816,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| ~ product(e_3,e_4,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f4810,f40]) ).
fof(f4817,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| ~ product(X0,e_4,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f4810,f38]) ).
fof(f4818,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f4811,f72]) ).
fof(f4819,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f4811,f70]) ).
fof(f4820,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f4811,f68]) ).
fof(f4821,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4811,f74]) ).
fof(f4822,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| ~ product(e_3,e_4,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f4811,f40]) ).
fof(f4823,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| ~ product(X0,e_4,e_3)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f4811,f38]) ).
fof(f4826,plain,
( ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ108_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f3710,f223]) ).
fof(f4827,plain,
( ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4826,f65]) ).
fof(f4828,plain,
( ~ sQ25_spl
| ~ sQ33_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f4827]) ).
fof(f4829,plain,
( ~ sQ31_spl
| ~ sQ84_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3090,f60]) ).
fof(f4830,plain,
( ~ sQ31_spl
| ~ sQ84_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4829]) ).
fof(f4831,plain,
( ~ sQ107_spl
| ~ sQ40_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f3744,f364,f270,f499]) ).
fof(f4832,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| ~ sQ40_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f3745,f273,f270,f499,f414]) ).
fof(f4833,plain,
( ~ sQ69_spl
| ~ sQ22_spl
| ~ sQ74_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1547,f149,f383,f165,f367]) ).
fof(f4834,plain,
( ~ sQ23_spl
| ~ sQ49_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f685,f123,f298,f168]) ).
fof(f4888,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f950,f74]) ).
fof(f4889,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f950,f40]) ).
fof(f4890,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f950,f38]) ).
fof(f4891,plain,
( ~ sQ50_spl
| ~ sQ27_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f4812,f4810]) ).
fof(f4892,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| ~ sQ50_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f4813,f4811]) ).
fof(f4893,plain,
( ~ sQ50_spl
| ~ sQ27_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4813,f4810]) ).
fof(f4894,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4892,f50]) ).
fof(f4895,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4894]) ).
fof(f4896,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f4818,f4811]) ).
fof(f4897,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4819,f4811]) ).
fof(f4898,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4820,f4811]) ).
fof(f4900,plain,
( ~ sQ90_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f983,f441]) ).
fof(f4901,plain,
( ~ sQ90_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4900,f51]) ).
fof(f4902,plain,
( ~ sQ90_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f4901]) ).
fof(f4916,plain,
( ~ sQ90_spl
| ~ sQ46_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2132,f441]) ).
fof(f4917,plain,
( ~ sQ75_spl
| ~ sQ46_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f2132,f393]) ).
fof(f4918,plain,
( ~ sQ75_spl
| ~ sQ46_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f4917,f486,f289,f392]) ).
fof(f4929,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f4916,f72]) ).
fof(f4930,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f4916,f70]) ).
fof(f4931,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f4916,f68]) ).
fof(f4932,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ46_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4916,f74]) ).
fof(f4933,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ46_spl
| ~ product(e_2,e_4,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f4916,f40]) ).
fof(f4934,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ46_spl
| ~ product(X0,e_4,e_2)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f4916,f38]) ).
fof(f4935,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| ~ sQ22_spl
| ~ sQ71_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2265,f4811]) ).
fof(f4936,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| ~ sQ22_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4935,f61]) ).
fof(f4937,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| ~ sQ22_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4936]) ).
fof(f4938,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f2561,f401,f266,f130]) ).
fof(f5022,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4810,f74]) ).
fof(f5023,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| ~ product(e_3,e_4,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f4810,f40]) ).
fof(f5024,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| ~ product(X0,e_4,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f4810,f38]) ).
fof(f5025,plain,
( ~ sQ50_spl
| ~ sQ27_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4814,f4810]) ).
fof(f5028,plain,
( ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ35_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f3054,f4810]) ).
fof(f5029,plain,
( ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ35_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f5028,f295,f254,f228,f307]) ).
fof(f5030,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f4288,f228,f332,f231]) ).
fof(f5031,plain,
( ~ sQ87_spl
| ~ sQ117_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2543,f54]) ).
fof(f5032,plain,
( ~ sQ87_spl
| ~ sQ117_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f5031]) ).
fof(f5083,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f4037,f72]) ).
fof(f5084,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4037,f70]) ).
fof(f5085,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4037,f68]) ).
fof(f5086,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4037,f74]) ).
fof(f5087,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(e_1,e_2,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f4037,f40]) ).
fof(f5088,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(X0,e_2,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f4037,f38]) ).
fof(f5089,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4064,f72]) ).
fof(f5090,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f4064,f70]) ).
fof(f5091,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f4064,f68]) ).
fof(f5092,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f4064,f74]) ).
fof(f5093,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(e_1,e_1,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4064,f40]) ).
fof(f5094,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ95_spl
| ~ product(X0,e_1,e_1)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4064,f38]) ).
fof(f5095,plain,
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f4810,f3054]) ).
fof(f5099,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4810,f74]) ).
fof(f5100,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| ~ product(e_3,e_4,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f4810,f40]) ).
fof(f5101,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ27_spl
| ~ product(X0,e_4,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f4810,f38]) ).
fof(f5102,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5095,f72]) ).
fof(f5103,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f5095,f70]) ).
fof(f5104,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f5095,f68]) ).
fof(f5105,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f5095,f74]) ).
fof(f5106,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f5095,f40]) ).
fof(f5107,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f5095,f38]) ).
fof(f5108,plain,
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4065,f4037]) ).
fof(f5109,plain,
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4066,f4037]) ).
fof(f5110,plain,
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4067,f4037]) ).
fof(f5111,plain,
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4084,f4064]) ).
fof(f5113,plain,
( ~ sQ120_spl
| ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4086,f4064]) ).
fof(f5114,plain,
( ~ sQ90_spl
| ~ sQ120_spl
| ~ sQ95_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f4086,f441]) ).
fof(f5115,plain,
( ~ sQ75_spl
| ~ sQ120_spl
| ~ sQ95_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f4086,f393]) ).
fof(f5116,plain,
( ~ sQ90_spl
| ~ sQ120_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5114,f50]) ).
fof(f5117,plain,
( ~ sQ90_spl
| ~ sQ120_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f5116]) ).
fof(f5118,plain,
( ~ sQ75_spl
| ~ sQ120_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5115,f62]) ).
fof(f5119,plain,
( ~ sQ75_spl
| ~ sQ120_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f5118]) ).
fof(f5120,plain,
( ~ sQ117_spl
| ~ sQ71_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f2136,f440,f374,f531]) ).
fof(f5121,plain,
( ~ sQ69_spl
| ~ sQ12_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1356,f361,f133,f367]) ).
fof(f5175,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1304,f74]) ).
fof(f5176,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1304,f40]) ).
fof(f5177,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ97_spl
| ~ product(X0,e_5,e_2)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1304,f38]) ).
fof(f5184,plain,
( ~ sQ100_spl
| ~ sQ106_spl
| ~ sQ80_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f3986,f478]) ).
fof(f5185,plain,
( ~ sQ100_spl
| ~ sQ106_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5184,f63]) ).
fof(f5186,plain,
( ~ sQ100_spl
| ~ sQ106_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f5185]) ).
fof(f5187,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2588,f1304]) ).
fof(f5188,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2589,f1304]) ).
fof(f5190,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ87_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f2077,f1304]) ).
fof(f5191,plain,
! [X0] :
( ~ sQ87_spl
| product(e_5,e_3,X0)
| product(e_4,e_3,X0)
| product(e_2,e_3,X0)
| product(e_1,e_3,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f77,f2078]) ).
fof(f5192,plain,
( ~ sQ87_spl
| product(e_5,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f5191,f45]) ).
fof(f5193,plain,
( ~ sQ87_spl
| product(e_5,e_3,e_4)
| product(e_4,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f5191,f44]) ).
fof(f5194,plain,
( ~ sQ87_spl
| product(e_5,e_3,e_3)
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f5191,f43]) ).
fof(f5195,plain,
( ~ sQ87_spl
| product(e_5,e_3,e_2)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f5191,f42]) ).
fof(f5196,plain,
( ~ sQ87_spl
| product(e_5,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f5191,f41]) ).
fof(f5197,plain,
( ~ sQ87_spl
| sQ54_spl
| sQ53_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f5192,f307,f310,f316,f319,f430]) ).
fof(f5198,plain,
( ~ sQ87_spl
| sQ59_spl
| sQ58_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f5193,f323,f326,f332,f335,f430]) ).
fof(f5199,plain,
( ~ sQ87_spl
| sQ64_spl
| sQ63_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f5194,f339,f342,f348,f351,f430]) ).
fof(f5200,plain,
( ~ sQ87_spl
| sQ69_spl
| sQ68_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f5195,f355,f358,f364,f367,f430]) ).
fof(f5201,plain,
( ~ sQ87_spl
| sQ74_spl
| sQ73_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f5196,f371,f374,f380,f383,f430]) ).
fof(f5242,plain,
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ113_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1240,f5095]) ).
fof(f5243,plain,
( ~ sQ113_spl
| ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f5242,f1242]) ).
fof(f5244,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f5242,f72]) ).
fof(f5245,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f5242,f70]) ).
fof(f5246,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f5242,f68]) ).
fof(f5250,plain,
( ~ sQ113_spl
| ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f5243,f493,f228,f307,f254,f518]) ).
fof(f5251,plain,
( ~ sQ25_spl
| ~ sQ109_spl
| ~ sQ3_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1562,f223]) ).
fof(f5252,plain,
( ~ sQ26_spl
| ~ sQ109_spl
| ~ sQ3_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1562,f226]) ).
fof(f5253,plain,
( ~ sQ26_spl
| ~ sQ109_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5252,f50]) ).
fof(f5254,plain,
( ~ sQ26_spl
| ~ sQ109_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f5253]) ).
fof(f5255,plain,
( ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1317,f2077]) ).
fof(f5259,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1317,f74]) ).
fof(f5260,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1317,f40]) ).
fof(f5261,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1317,f38]) ).
fof(f5262,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f1545,f72]) ).
fof(f5263,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1545,f70]) ).
fof(f5264,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1545,f68]) ).
fof(f5265,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1545,f74]) ).
fof(f5266,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(e_5,e_1,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1545,f40]) ).
fof(f5267,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| ~ product(X0,e_1,e_5)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1545,f38]) ).
fof(f5268,plain,
( ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f5255,f4812]) ).
fof(f5269,plain,
( ~ sQ35_spl
| ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f5255,f3054]) ).
fof(f5270,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f5255,f72]) ).
fof(f5271,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f5255,f70]) ).
fof(f5272,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f5255,f68]) ).
fof(f5273,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f5255,f74]) ).
fof(f5274,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| ~ product(e_3,e_2,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f5255,f40]) ).
fof(f5275,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| ~ product(X0,e_2,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f5255,f38]) ).
fof(f5276,plain,
( ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5268,f52]) ).
fof(f5277,plain,
( ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f5276]) ).
fof(f5281,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ113_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f5246,f223]) ).
fof(f5282,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5281,f64]) ).
fof(f5283,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| ~ sQ50_spl
| ~ sQ27_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f5282]) ).
fof(f5284,plain,
( ~ sQ35_spl
| ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f5269,f465,f149,f521,f430,f254]) ).
fof(f5285,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f3803,f72]) ).
fof(f5286,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f3803,f70]) ).
fof(f5287,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f3803,f68]) ).
fof(f5288,plain,
! [X0] :
( ~ sQ110_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f3803,f74]) ).
fof(f5290,plain,
! [X0] :
( ~ sQ110_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f3803,f38]) ).
fof(f5293,plain,
( ~ sQ14_spl
| ~ sQ22_spl
| ~ sQ74_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f775,f140]) ).
fof(f5294,plain,
( ~ sQ76_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f4652,f396]) ).
fof(f5295,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f425,f72]) ).
fof(f5296,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f425,f70]) ).
fof(f5297,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f425,f68]) ).
fof(f5298,plain,
! [X0] :
( ~ sQ85_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f425,f74]) ).
fof(f5299,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(e_3,e_1,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f425,f40]) ).
fof(f5300,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(X0,e_1,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f425,f38]) ).
fof(f5301,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f327,f72]) ).
fof(f5302,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f327,f70]) ).
fof(f5303,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f327,f68]) ).
fof(f5304,plain,
! [X0] :
( ~ sQ56_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f327,f74]) ).
fof(f5305,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_4,e_2,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f327,f40]) ).
fof(f5306,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(X0,e_2,e_4)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f327,f38]) ).
fof(f5307,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f513,f72]) ).
fof(f5308,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f513,f70]) ).
fof(f5309,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f513,f68]) ).
fof(f5310,plain,
! [X0] :
( ~ sQ111_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f513,f74]) ).
fof(f5311,plain,
! [X0] :
( ~ sQ111_spl
| ~ product(e_3,e_2,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f513,f40]) ).
fof(f5312,plain,
! [X0] :
( ~ sQ111_spl
| ~ product(X0,e_2,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f513,f38]) ).
fof(f5313,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f519,f72]) ).
fof(f5314,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f519,f70]) ).
fof(f5315,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f519,f68]) ).
fof(f5319,plain,
( ~ sQ76_spl
| ~ sQ94_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f453,f4651]) ).
fof(f5320,plain,
( ~ sQ76_spl
| ~ sQ94_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f453,f4650]) ).
fof(f5321,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f453,f72]) ).
fof(f5322,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f453,f70]) ).
fof(f5323,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f453,f68]) ).
fof(f5327,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f526,f72]) ).
fof(f5328,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f526,f70]) ).
fof(f5329,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f526,f68]) ).
fof(f5333,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f333,f72]) ).
fof(f5334,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f333,f70]) ).
fof(f5335,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f333,f68]) ).
fof(f5336,plain,
! [X0] :
( ~ sQ58_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f333,f74]) ).
fof(f5337,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_4,e_4,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f333,f40]) ).
fof(f5338,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(X0,e_4,e_4)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f333,f38]) ).
fof(f5396,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f5319,f72]) ).
fof(f5397,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f5319,f70]) ).
fof(f5398,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f5319,f68]) ).
fof(f5399,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f5319,f74]) ).
fof(f5400,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| ~ product(e_2,e_2,X0)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f5319,f40]) ).
fof(f5401,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| ~ product(X0,e_2,e_2)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f5319,f38]) ).
fof(f5402,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f5320,f72]) ).
fof(f5403,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f5320,f70]) ).
fof(f5404,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f5320,f68]) ).
fof(f5405,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f5320,f74]) ).
fof(f5406,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| ~ product(e_5,e_2,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f5320,f40]) ).
fof(f5407,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ94_spl
| ~ product(X0,e_2,e_5)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f5320,f38]) ).
fof(f5408,plain,
( ~ sQ115_spl
| ~ sQ106_spl
| ~ sQ80_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3984,f526]) ).
fof(f5409,plain,
( ~ sQ115_spl
| ~ sQ106_spl
| ~ sQ80_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3985,f526]) ).
fof(f5410,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ106_spl
| ~ sQ80_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3985,f1317]) ).
fof(f5411,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ106_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5410,f54]) ).
fof(f5412,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ106_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f5411]) ).
fof(f5423,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f5285,f3803]) ).
fof(f5425,plain,
( ~ sQ115_spl
| ~ sQ110_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f5287,f526]) ).
fof(f5426,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f5287,f3803]) ).
fof(f5427,plain,
( ~ sQ115_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5425,f50]) ).
fof(f5428,plain,
( ~ sQ115_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f5427]) ).
fof(f5429,plain,
( ~ sQ76_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f5294,f443,f395]) ).
fof(f5500,plain,
( ~ sQ14_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f4704,f140]) ).
fof(f5501,plain,
( ~ sQ14_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f5500,f107,f139]) ).
fof(f5575,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3755,f74]) ).
fof(f5576,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ product(e_2,e_4,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f3755,f40]) ).
fof(f5577,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ product(X0,e_4,e_2)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3755,f38]) ).
fof(f5581,plain,
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ6_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f2971,f3755]) ).
fof(f5582,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ6_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5581,f72]) ).
fof(f5583,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f5581,f70]) ).
fof(f5584,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f5581,f68]) ).
fof(f5585,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ6_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f5581,f74]) ).
fof(f5586,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ6_spl
| ~ product(e_2,e_5,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f5581,f40]) ).
fof(f5587,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ6_spl
| ~ product(X0,e_5,e_2)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f5581,f38]) ).
fof(f5588,plain,
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ6_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f5582,f5581]) ).
fof(f5591,plain,
( ~ sQ25_spl
| ~ sQ3_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f1286,f223]) ).
fof(f5592,plain,
( ~ sQ25_spl
| ~ sQ3_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f5591,f4687]) ).
fof(f5593,plain,
( ~ sQ25_spl
| ~ sQ3_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f5591,f4688]) ).
fof(f5594,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5591,f72]) ).
fof(f5595,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f5591,f70]) ).
fof(f5596,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f5591,f68]) ).
fof(f5597,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f5591,f74]) ).
fof(f5598,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| ~ product(e_5,e_5,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f5591,f40]) ).
fof(f5599,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| ~ product(X0,e_5,e_5)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f5591,f38]) ).
fof(f5600,plain,
( ~ sQ25_spl
| ~ sQ3_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f5593,f168,f104,f222]) ).
fof(f5613,plain,
( ~ sQ111_spl
| ~ sQ50_spl
| ~ sQ27_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f4812,f513]) ).
fof(f5614,plain,
( ~ sQ111_spl
| ~ sQ50_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5613,f52]) ).
fof(f5615,plain,
( ~ sQ111_spl
| ~ sQ50_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f5614]) ).
fof(f5618,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f4379,f140]) ).
fof(f5619,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| ~ sQ104_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4380,f140]) ).
fof(f5620,plain,
! [X0] :
( ~ sQ3_spl
| product(e_5,e_5,X0)
| product(e_5,e_3,X0)
| product(e_5,e_2,X0)
| product(e_5,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f80,f1287]) ).
fof(f5621,plain,
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ6_spl
| ~ sQ3_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1287,f5581]) ).
fof(f5622,plain,
( ~ sQ116_spl
| ~ sQ40_spl
| ~ sQ6_spl
| ~ sQ3_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f5621,f155,f104,f114,f270,f528]) ).
fof(f5623,plain,
( sQ93_spl
| ~ sQ116_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f3755]) ).
fof(f5624,plain,
( sQ93_spl
| ~ sQ116_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f5623]) ).
fof(f5625,plain,
( ~ sQ3_spl
| product(e_5,e_5,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)],[f5620,f45]) ).
fof(f5626,plain,
( ~ sQ3_spl
| product(e_5,e_5,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)],[f5620,f44]) ).
fof(f5627,plain,
( ~ sQ3_spl
| product(e_5,e_5,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)],[f5620,f43]) ).
fof(f5628,plain,
( ~ sQ3_spl
| product(e_5,e_5,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)],[f5620,f42]) ).
fof(f5629,plain,
( ~ sQ3_spl
| product(e_5,e_5,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)],[f5620,f41]) ).
fof(f5630,plain,
( ~ sQ3_spl
| sQ4_spl
| sQ54_spl
| sQ79_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f5625,f489,f404,f319,f107,f104]) ).
fof(f5631,plain,
( ~ sQ3_spl
| sQ9_spl
| sQ59_spl
| sQ84_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f5626,f505,f420,f335,f123,f104]) ).
fof(f5632,plain,
( ~ sQ3_spl
| sQ14_spl
| sQ64_spl
| sQ89_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f5627,f521,f436,f351,f139,f104]) ).
fof(f5633,plain,
( ~ sQ3_spl
| sQ19_spl
| sQ69_spl
| sQ94_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f5628,f537,f452,f367,f155,f104]) ).
fof(f5634,plain,
( ~ sQ3_spl
| sQ24_spl
| sQ74_spl
| sQ99_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f5629,f553,f468,f383,f171,f104]) ).
fof(f5635,plain,
( ~ sQ109_spl
| ~ sQ3_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1279,f222,f104,f505]) ).
fof(f5746,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1120,f72]) ).
fof(f5747,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1120,f70]) ).
fof(f5748,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1120,f68]) ).
fof(f5749,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1120,f74]) ).
fof(f5750,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1120,f40]) ).
fof(f5751,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1120,f38]) ).
fof(f5752,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1673,f72]) ).
fof(f5753,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1673,f70]) ).
fof(f5754,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1673,f68]) ).
fof(f5755,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1673,f74]) ).
fof(f5756,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_1,e_3,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1673,f40]) ).
fof(f5757,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1673,f38]) ).
fof(f5758,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1133,f72]) ).
fof(f5759,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1133,f70]) ).
fof(f5760,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1133,f68]) ).
fof(f5761,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1133,f74]) ).
fof(f5762,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ84_spl
| ~ sQ13_spl
| ~ product(e_1,e_3,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1133,f40]) ).
fof(f5763,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ84_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_1)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1133,f38]) ).
fof(f5764,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1108,f72]) ).
fof(f5765,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1108,f70]) ).
fof(f5766,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1108,f68]) ).
fof(f5767,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1108,f74]) ).
fof(f5768,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| ~ product(e_3,e_2,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1108,f40]) ).
fof(f5769,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| ~ product(X0,e_2,e_3)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1108,f38]) ).
fof(f5773,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1107,f74]) ).
fof(f5774,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1107,f40]) ).
fof(f5775,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1107,f38]) ).
fof(f5776,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1181,f1120]) ).
fof(f5777,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1182,f1120]) ).
fof(f5778,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1183,f1673]) ).
fof(f5779,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1183,f1120]) ).
fof(f5780,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5778,f47]) ).
fof(f5781,plain,
( ~ sQ73_spl
| ~ sQ109_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f5780]) ).
fof(f5835,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1110,f74]) ).
fof(f5836,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_1,e_3,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1110,f40]) ).
fof(f5837,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_1)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1110,f38]) ).
fof(f5841,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1214,f74]) ).
fof(f5842,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_1,e_5,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1214,f40]) ).
fof(f5843,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_5,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1214,f38]) ).
fof(f5844,plain,
( ~ sQ56_spl
| ~ sQ42_spl
| ~ sQ88_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1756,f327]) ).
fof(f5845,plain,
( ~ sQ56_spl
| ~ sQ42_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5844,f59]) ).
fof(f5846,plain,
( ~ sQ56_spl
| ~ sQ42_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f5845]) ).
fof(f5847,plain,
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1672,f531,f136,f505,f364]) ).
fof(f5849,plain,
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1132,f446,f136,f420,f364]) ).
fof(f5860,plain,
( ~ sQ45_spl
| 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) ),
inference(resolution,[status(thm)],[f3636,f45]) ).
fof(f5861,plain,
( ~ sQ45_spl
| 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) ),
inference(resolution,[status(thm)],[f3636,f44]) ).
fof(f5862,plain,
( ~ sQ45_spl
| 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) ),
inference(resolution,[status(thm)],[f3636,f43]) ).
fof(f5863,plain,
( ~ sQ45_spl
| 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) ),
inference(resolution,[status(thm)],[f3636,f42]) ).
fof(f5864,plain,
( ~ sQ45_spl
| 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) ),
inference(resolution,[status(thm)],[f3636,f41]) ).
fof(f5865,plain,
( ~ sQ45_spl
| sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f5860,f480,f483,f486,f489,f286]) ).
fof(f5866,plain,
( ~ sQ45_spl
| sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f5861,f496,f499,f502,f505,f286]) ).
fof(f5867,plain,
( ~ sQ45_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f5862,f512,f515,f518,f521,f286]) ).
fof(f5868,plain,
( ~ sQ45_spl
| sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f5863,f528,f531,f534,f537,f286]) ).
fof(f5869,plain,
( ~ sQ45_spl
| sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f5864,f544,f547,f550,f553,f286]) ).
fof(f5933,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1747,f74]) ).
fof(f5939,plain,
( ~ sQ85_spl
| ~ sQ36_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2201,f425]) ).
fof(f5940,plain,
( ~ sQ85_spl
| ~ sQ36_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f5939,f534,f257,f424]) ).
fof(f5961,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ90_spl
| product(e_2,e_5,X0)
| product(e_2,e_3,X0)
| product(e_2,e_2,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1080,f4709]) ).
fof(f5962,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| product(e_2,e_5,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f5961,f45]) ).
fof(f5963,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| product(e_2,e_5,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f5961,f44]) ).
fof(f5964,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| product(e_2,e_5,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f5961,f43]) ).
fof(f5965,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| product(e_2,e_5,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f5961,f42]) ).
fof(f5966,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f5961,f41]) ).
fof(f5967,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| sQ1_spl
| sQ51_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f5962,f395,f310,f98,f440,f449]) ).
fof(f5968,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| sQ6_spl
| sQ56_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f5963,f411,f326,f114,f440,f449]) ).
fof(f5969,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| sQ11_spl
| sQ61_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f5964,f427,f342,f130,f440,f449]) ).
fof(f5970,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| sQ16_spl
| sQ66_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f5965,f443,f358,f146,f440,f449]) ).
fof(f5971,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| sQ21_spl
| sQ71_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f5966,f459,f374,f162,f440,f449]) ).
fof(f6005,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1107,f74]) ).
fof(f6006,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1107,f40]) ).
fof(f6007,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1107,f38]) ).
fof(f6008,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1108,f72]) ).
fof(f6009,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1108,f70]) ).
fof(f6010,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1108,f68]) ).
fof(f6011,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1108,f74]) ).
fof(f6012,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| ~ product(e_3,e_2,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1108,f40]) ).
fof(f6013,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ13_spl
| ~ product(X0,e_2,e_3)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1108,f38]) ).
fof(f6014,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1124,f1107]) ).
fof(f6015,plain,
( ~ sQ84_spl
| ~ sQ13_spl
| ~ sQ109_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1124,f1108]) ).
fof(f6016,plain,
( ~ sQ84_spl
| ~ sQ13_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6015,f50]) ).
fof(f6017,plain,
( ~ sQ84_spl
| ~ sQ13_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f6016]) ).
fof(f6018,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1125,f1107]) ).
fof(f6019,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1126,f1107]) ).
fof(f6020,plain,
! [X0] :
( ~ sQ30_spl
| product(e_4,e_5,X0)
| product(e_4,e_4,X0)
| product(e_4,e_3,X0)
| product(e_4,e_2,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f81,f3816]) ).
fof(f6021,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ61_spl
| product(e_3,e_4,X0)
| product(e_3,e_3,X0)
| product(e_3,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f799,f2207]) ).
fof(f6022,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f112,f72]) ).
fof(f6023,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f112,f70]) ).
fof(f6024,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f112,f68]) ).
fof(f6028,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| ~ sQ36_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f258,f1124]) ).
fof(f6029,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f258,f72]) ).
fof(f6030,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f258,f70]) ).
fof(f6031,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f258,f68]) ).
fof(f6035,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6028,f50]) ).
fof(f6036,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f6035]) ).
fof(f6037,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f393,f72]) ).
fof(f6038,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f393,f70]) ).
fof(f6039,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f393,f68]) ).
fof(f6043,plain,
( ~ sQ30_spl
| ~ sQ105_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f494,f3817]) ).
fof(f6044,plain,
( ~ sQ30_spl
| ~ sQ105_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f494,f3815]) ).
fof(f6045,plain,
( ~ sQ105_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f494,f3836]) ).
fof(f6047,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f494,f72]) ).
fof(f6048,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f494,f70]) ).
fof(f6049,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f494,f68]) ).
fof(f6054,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ61_spl
| product(e_3,e_5,X0)
| product(e_3,e_3,X0)
| product(e_3,e_1,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1719,f2207]) ).
fof(f6055,plain,
( ~ sQ38_spl
| ~ sQ63_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1486,f260,f348,f263]) ).
fof(f6056,plain,
( sQ35_spl
| ~ sQ109_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f1107]) ).
fof(f6057,plain,
( sQ35_spl
| ~ sQ109_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f6056]) ).
fof(f6058,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f1304,f367,f462,f162]) ).
fof(f6059,plain,
( ~ sQ38_spl
| ~ sQ109_spl
| ~ sQ13_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1671,f502,f136,f505,f263]) ).
fof(f6060,plain,
( ~ sQ117_spl
| ~ sQ61_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f2202,f424,f342,f531]) ).
fof(f6061,plain,
( ~ sQ117_spl
| ~ sQ66_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f2170,f424,f358,f531]) ).
fof(f6062,plain,
( ~ sQ117_spl
| ~ sQ66_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f2169,f440,f358,f531]) ).
fof(f6063,plain,
( ~ sQ90_spl
| ~ sQ46_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f4916,f534,f289,f440]) ).
fof(f6064,plain,
( ~ sQ33_spl
| ~ sQ108_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1863,f238,f502,f247]) ).
fof(f6065,plain,
! [X0] :
( ~ sQ66_spl
| product(e_5,e_2,X0)
| product(e_4,e_2,X0)
| product(e_3,e_2,X0)
| product(e_1,e_2,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f2175]) ).
fof(f6066,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f359,f72]) ).
fof(f6067,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f359,f70]) ).
fof(f6068,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f359,f68]) ).
fof(f6072,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f343,f72]) ).
fof(f6073,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f343,f70]) ).
fof(f6074,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f68]) ).
fof(f6077,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(X0,e_2,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f343,f38]) ).
fof(f6078,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f356,f72]) ).
fof(f6079,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f356,f70]) ).
fof(f6080,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f356,f68]) ).
fof(f6081,plain,
! [X0] :
( ~ sQ65_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f356,f74]) ).
fof(f6082,plain,
! [X0] :
( ~ sQ65_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f356,f40]) ).
fof(f6083,plain,
! [X0] :
( ~ sQ65_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f356,f38]) ).
fof(f6084,plain,
( ~ sQ75_spl
| ~ sQ101_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f481,f4676]) ).
fof(f6085,plain,
( ~ sQ5_spl
| ~ sQ101_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f481,f3809]) ).
fof(f6086,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f481,f72]) ).
fof(f6087,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f481,f70]) ).
fof(f6088,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f68]) ).
fof(f6089,plain,
! [X0] :
( ~ sQ101_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f481,f74]) ).
fof(f6090,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(e_5,e_2,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f481,f40]) ).
fof(f6091,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(X0,e_2,e_5)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f481,f38]) ).
fof(f6092,plain,
( ~ sQ5_spl
| ~ sQ101_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f6085,f420,f480,f111]) ).
fof(f6093,plain,
( ~ sQ75_spl
| ~ sQ100_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f478,f4676]) ).
fof(f6094,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f478,f72]) ).
fof(f6095,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f478,f70]) ).
fof(f6096,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f478,f68]) ).
fof(f6100,plain,
( ~ sQ75_spl
| ~ sQ100_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f6093,f544,f477,f392]) ).
fof(f6101,plain,
( ~ sQ61_spl
| ~ sQ82_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f415,f2207]) ).
fof(f6102,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f415,f72]) ).
fof(f6103,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f415,f70]) ).
fof(f6104,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f415,f68]) ).
fof(f6105,plain,
! [X0] :
( ~ sQ82_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f415,f74]) ).
fof(f6106,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(e_4,e_3,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f415,f40]) ).
fof(f6107,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(X0,e_3,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f415,f38]) ).
fof(f6108,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| product(e_3,e_4,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f6021,f45]) ).
fof(f6109,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f6021,f44]) ).
fof(f6110,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f6021,f43]) ).
fof(f6111,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f6021,f42]) ).
fof(f6112,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f6021,f41]) ).
fof(f6113,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| sQ27_spl
| sQ52_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f6108,f483,f313,f228,f342,f351]) ).
fof(f6114,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| sQ32_spl
| sQ57_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f6109,f499,f329,f244,f342,f351]) ).
fof(f6115,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| sQ37_spl
| sQ62_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f6110,f515,f345,f260,f342,f351]) ).
fof(f6116,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| sQ42_spl
| sQ67_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f6111,f531,f361,f276,f342,f351]) ).
fof(f6117,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| sQ47_spl
| sQ72_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f6112,f547,f377,f292,f342,f351]) ).
fof(f6198,plain,
( ~ sQ30_spl
| 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) ),
inference(resolution,[status(thm)],[f6020,f45]) ).
fof(f6199,plain,
( ~ sQ30_spl
| 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) ),
inference(resolution,[status(thm)],[f6020,f44]) ).
fof(f6200,plain,
( ~ sQ30_spl
| 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) ),
inference(resolution,[status(thm)],[f6020,f43]) ).
fof(f6201,plain,
( ~ sQ30_spl
| 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) ),
inference(resolution,[status(thm)],[f6020,f42]) ).
fof(f6202,plain,
( ~ sQ30_spl
| 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) ),
inference(resolution,[status(thm)],[f6020,f41]) ).
fof(f6203,plain,
( ~ sQ30_spl
| sQ3_spl
| sQ28_spl
| sQ53_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f6198,f401,f316,f231,f104,f238]) ).
fof(f6204,plain,
( ~ sQ30_spl
| sQ8_spl
| sQ33_spl
| sQ58_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f6199,f417,f332,f247,f120,f238]) ).
fof(f6205,plain,
( ~ sQ30_spl
| sQ13_spl
| sQ38_spl
| sQ63_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f6200,f433,f348,f263,f136,f238]) ).
fof(f6206,plain,
( ~ sQ30_spl
| sQ18_spl
| sQ43_spl
| sQ68_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f6201,f449,f364,f279,f152,f238]) ).
fof(f6207,plain,
( ~ sQ30_spl
| sQ23_spl
| sQ48_spl
| sQ73_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f6202,f465,f380,f295,f168,f238]) ).
fof(f6288,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f6084,f72]) ).
fof(f6289,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f6084,f70]) ).
fof(f6290,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ101_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f6084,f68]) ).
fof(f6291,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ101_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f6084,f74]) ).
fof(f6292,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ101_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f6084,f40]) ).
fof(f6293,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ101_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f6084,f38]) ).
fof(f6294,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f6045,f72]) ).
fof(f6295,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f6045,f70]) ).
fof(f6296,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f6045,f68]) ).
fof(f6297,plain,
! [X0] :
( ~ sQ105_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f6045,f74]) ).
fof(f6299,plain,
! [X0] :
( ~ sQ105_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f6045,f38]) ).
fof(f6303,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ3_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1281,f74]) ).
fof(f6304,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ3_spl
| ~ product(e_5,e_3,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1281,f40]) ).
fof(f6305,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ3_spl
| ~ product(X0,e_3,e_5)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1281,f38]) ).
fof(f6306,plain,
( ~ sQ59_spl
| ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1556,f1281]) ).
fof(f6307,plain,
( ~ sQ59_spl
| ~ sQ3_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1557,f1281]) ).
fof(f6313,plain,
( ~ sQ75_spl
| ~ sQ101_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f6289,f6084]) ).
fof(f6314,plain,
( ~ sQ75_spl
| ~ sQ101_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f6290,f6084]) ).
fof(f6317,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f6296,f6045]) ).
fof(f6318,plain,
( ~ sQ82_spl
| ~ sQ56_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f5306,f415]) ).
fof(f6319,plain,
( ~ sQ82_spl
| ~ sQ56_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f6318,f361,f326,f414]) ).
fof(f6402,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1355,f72]) ).
fof(f6403,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1355,f70]) ).
fof(f6404,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1355,f68]) ).
fof(f6405,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1355,f74]) ).
fof(f6406,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1355,f40]) ).
fof(f6407,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1355,f38]) ).
fof(f6422,plain,
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1601,f1355]) ).
fof(f6423,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| ~ sQ12_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1601,f327]) ).
fof(f6424,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6423,f51]) ).
fof(f6425,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f6424]) ).
fof(f6466,plain,
( ~ sQ65_spl
| ~ sQ82_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f2111,f356]) ).
fof(f6467,plain,
( ~ sQ56_spl
| ~ sQ82_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f2113,f327]) ).
fof(f6468,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| ~ sQ27_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f4811,f5305]) ).
fof(f6469,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| ~ sQ27_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f4811,f5304]) ).
fof(f6470,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f4811,f72]) ).
fof(f6471,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f4811,f70]) ).
fof(f6472,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f4811,f68]) ).
fof(f6473,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4811,f74]) ).
fof(f6474,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| ~ product(e_3,e_4,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f4811,f40]) ).
fof(f6475,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| ~ product(X0,e_4,e_3)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f4811,f38]) ).
fof(f6476,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| ~ sQ27_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f6468,f260,f228,f310,f326]) ).
fof(f6477,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| ~ sQ27_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f6469,f244,f228,f310,f326]) ).
fof(f6478,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ82_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f6466,f72]) ).
fof(f6479,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ82_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f6466,f70]) ).
fof(f6480,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f6466,f68]) ).
fof(f6481,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ82_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f6466,f74]) ).
fof(f6482,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ82_spl
| ~ product(e_4,e_2,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f6466,f40]) ).
fof(f6483,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ82_spl
| ~ product(X0,e_2,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f6466,f38]) ).
fof(f6487,plain,
( ~ sQ82_spl
| ~ sQ46_spl
| ~ sQ48_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2352,f415]) ).
fof(f6488,plain,
( ~ sQ82_spl
| ~ sQ46_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6487,f56]) ).
fof(f6489,plain,
( ~ sQ82_spl
| ~ sQ46_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f6488]) ).
fof(f6490,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f2127,f411,f289,f465]) ).
fof(f6491,plain,
( ~ sQ46_spl
| ~ sQ48_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2413,f59]) ).
fof(f6492,plain,
( ~ sQ46_spl
| ~ sQ48_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f6491]) ).
fof(f6493,plain,
( ~ sQ106_spl
| ~ sQ78_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f3876,f222,f401,f496]) ).
fof(f6494,plain,
( ~ sQ28_spl
| ~ sQ106_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4091,f58]) ).
fof(f6495,plain,
( ~ sQ28_spl
| ~ sQ106_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f6494]) ).
fof(f6539,plain,
( ~ sQ14_spl
| ~ sQ69_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f790,f140]) ).
fof(f6540,plain,
( ~ sQ14_spl
| ~ sQ69_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f6539,f149,f367,f139]) ).
fof(f6541,plain,
( ~ sQ10_spl
| ~ sQ104_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f3843,f139,f489,f127]) ).
fof(f6552,plain,
( ~ sQ65_spl
| ~ sQ117_spl
| ~ sQ71_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2272,f356]) ).
fof(f6553,plain,
( ~ sQ65_spl
| ~ sQ117_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6552,f55]) ).
fof(f6554,plain,
( ~ sQ65_spl
| ~ sQ117_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f6553]) ).
fof(f6555,plain,
! [X0] :
( ~ sQ104_spl
| 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(backward_subsumption_resolution,[status(thm)],[f75,f3848]) ).
fof(f6556,plain,
( ~ sQ104_spl
| 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)],[f6555,f45]) ).
fof(f6557,plain,
( ~ sQ104_spl
| 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)],[f6555,f44]) ).
fof(f6558,plain,
( ~ sQ104_spl
| 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)],[f6555,f43]) ).
fof(f6559,plain,
( ~ sQ104_spl
| 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)],[f6555,f42]) ).
fof(f6560,plain,
( ~ sQ104_spl
| 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)],[f6555,f41]) ).
fof(f6561,plain,
( ~ sQ104_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f6556,f95,f98,f101,f104,f489]) ).
fof(f6562,plain,
( ~ sQ104_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f6557,f111,f114,f117,f120,f489]) ).
fof(f6563,plain,
( ~ sQ104_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f6558,f127,f130,f133,f136,f489]) ).
fof(f6564,plain,
( ~ sQ104_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f6559,f143,f146,f149,f152,f489]) ).
fof(f6565,plain,
( ~ sQ104_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f6560,f159,f162,f165,f168,f489]) ).
fof(f6613,plain,
( ~ sQ65_spl
| ~ sQ111_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f513,f6082]) ).
fof(f6614,plain,
( ~ sQ35_spl
| ~ sQ111_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f513,f3054]) ).
fof(f6615,plain,
( ~ sQ85_spl
| ~ sQ111_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f513,f5300]) ).
fof(f6616,plain,
( ~ sQ65_spl
| ~ sQ111_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f513,f6081]) ).
fof(f6617,plain,
( ~ sQ55_spl
| ~ sQ111_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f513,f3821]) ).
fof(f6618,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f513,f72]) ).
fof(f6619,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f513,f70]) ).
fof(f6620,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f513,f68]) ).
fof(f6624,plain,
( ~ sQ35_spl
| ~ sQ111_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f6614,f465,f512,f254]) ).
fof(f6625,plain,
( ~ sQ85_spl
| ~ sQ111_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f6615,f459,f512,f424]) ).
fof(f6626,plain,
( ~ sQ65_spl
| ~ sQ111_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f6616,f446,f512,f355]) ).
fof(f6627,plain,
( ~ sQ118_spl
| ~ sQ26_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f226,f1105]) ).
fof(f6628,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f226,f72]) ).
fof(f6629,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f226,f70]) ).
fof(f6630,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f226,f68]) ).
fof(f6634,plain,
( ~ sQ118_spl
| ~ sQ26_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f6627,f392,f225,f534]) ).
fof(f6635,plain,
( ~ sQ102_spl
| ~ sQ51_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f311,f3906]) ).
fof(f6636,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f311,f72]) ).
fof(f6637,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f311,f70]) ).
fof(f6638,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f311,f68]) ).
fof(f6642,plain,
( ~ sQ57_spl
| ~ sQ55_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f324,f2107]) ).
fof(f6643,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f324,f72]) ).
fof(f6644,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f324,f70]) ).
fof(f6645,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f324,f68]) ).
fof(f6649,plain,
( ~ sQ51_spl
| ~ sQ94_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f453,f4657]) ).
fof(f6650,plain,
( ~ sQ26_spl
| ~ sQ94_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f453,f4663]) ).
fof(f6651,plain,
( ~ sQ16_spl
| ~ sQ94_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f453,f2161]) ).
fof(f6653,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f453,f72]) ).
fof(f6654,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f453,f70]) ).
fof(f6655,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f453,f68]) ).
fof(f6659,plain,
( ~ sQ51_spl
| ~ sQ94_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f6649,f149,f452,f310]) ).
fof(f6660,plain,
( ~ sQ26_spl
| ~ sQ94_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f6650,f152,f452,f225]) ).
fof(f6661,plain,
( ~ sQ16_spl
| ~ sQ94_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f6651,f155,f452,f146]) ).
fof(f6663,plain,
( ~ sQ44_spl
| ~ sQ18_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f4419,f231,f152,f282]) ).
fof(f6664,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| ~ sQ48_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f2336,f266,f295,f244,f165]) ).
fof(f6665,plain,
( ~ sQ101_spl
| ~ sQ115_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f4289,f392,f525,f480]) ).
fof(f6666,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ124_spl
| product(e_1,e_4,X0)
| product(e_1,e_3,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3104,f877]) ).
fof(f6667,plain,
( ~ sQ102_spl
| ~ sQ51_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f6635,f424,f310,f483]) ).
fof(f6670,plain,
( ~ sQ110_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f3803,f541,f509]) ).
fof(f6671,plain,
( ~ sQ110_spl
| ~ sQ102_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f3900,f307,f483,f509]) ).
fof(f6674,plain,
( ~ sQ86_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f428,f2214]) ).
fof(f6675,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f428,f72]) ).
fof(f6676,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f428,f70]) ).
fof(f6677,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f428,f68]) ).
fof(f6711,plain,
( ~ sQ66_spl
| product(e_5,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f6065,f45]) ).
fof(f6712,plain,
( ~ sQ66_spl
| product(e_5,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f6065,f44]) ).
fof(f6713,plain,
( ~ sQ66_spl
| product(e_5,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f6065,f43]) ).
fof(f6714,plain,
( ~ sQ66_spl
| product(e_5,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f6065,f42]) ).
fof(f6715,plain,
( ~ sQ66_spl
| product(e_5,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f6065,f41]) ).
fof(f6716,plain,
( ~ sQ66_spl
| sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f6711,f392,f398,f401,f404,f358]) ).
fof(f6717,plain,
( ~ sQ66_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f6712,f408,f414,f417,f420,f358]) ).
fof(f6718,plain,
( ~ sQ66_spl
| sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f6713,f424,f430,f433,f436,f358]) ).
fof(f6719,plain,
( ~ sQ66_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f6714,f440,f446,f449,f452,f358]) ).
fof(f6720,plain,
( ~ sQ66_spl
| sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f6715,f456,f462,f465,f468,f358]) ).
fof(f6794,plain,
! [X0] :
( ~ sQ105_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f6045,f74]) ).
fof(f6796,plain,
! [X0] :
( ~ sQ105_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f6045,f38]) ).
fof(f6800,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1110,f74]) ).
fof(f6801,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_1,e_3,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1110,f40]) ).
fof(f6802,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_1)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1110,f38]) ).
fof(f6803,plain,
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f1214,f3905]) ).
fof(f6804,plain,
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f1214,f3904]) ).
fof(f6808,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1214,f74]) ).
fof(f6809,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_1,e_5,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1214,f40]) ).
fof(f6810,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_5,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1214,f38]) ).
fof(f6811,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1681,f72]) ).
fof(f6812,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1681,f70]) ).
fof(f6813,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1681,f68]) ).
fof(f6814,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1681,f74]) ).
fof(f6815,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1681,f40]) ).
fof(f6816,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1681,f38]) ).
fof(f6817,plain,
( ~ sQ65_spl
| ~ sQ57_spl
| ~ sQ55_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f6642,f6081]) ).
fof(f6818,plain,
( ~ sQ55_spl
| ~ sQ57_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f6642,f3821]) ).
fof(f6819,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f6642,f72]) ).
fof(f6820,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f6642,f70]) ).
fof(f6821,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f6642,f68]) ).
fof(f6822,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ55_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f6642,f74]) ).
fof(f6823,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ55_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f6642,f40]) ).
fof(f6824,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ55_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f6642,f38]) ).
fof(f6825,plain,
( ~ sQ65_spl
| ~ sQ57_spl
| ~ sQ55_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f6817,f361,f323,f329,f355]) ).
fof(f6827,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f6674,f72]) ).
fof(f6828,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f6674,f70]) ).
fof(f6829,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f6674,f68]) ).
fof(f6830,plain,
! [X0] :
( ~ sQ86_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f6674,f74]) ).
fof(f6832,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(X0,e_2,e_2)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f6674,f38]) ).
fof(f6833,plain,
( ~ sQ102_spl
| ~ sQ73_spl
| ~ sQ37_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1364,f3904]) ).
fof(f6834,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1364,f72]) ).
fof(f6835,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1364,f70]) ).
fof(f6836,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1364,f68]) ).
fof(f6837,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1364,f74]) ).
fof(f6838,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1364,f40]) ).
fof(f6839,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1364,f38]) ).
fof(f6840,plain,
( ~ sQ124_spl
| ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f6803,f877]) ).
fof(f6841,plain,
( ~ sQ124_spl
| ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f6803,f876]) ).
fof(f6842,plain,
( ~ sQ124_spl
| ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f6803,f878]) ).
fof(f6843,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6803,f72]) ).
fof(f6844,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f6803,f70]) ).
fof(f6845,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f6803,f68]) ).
fof(f6846,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6803,f74]) ).
fof(f6847,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_1,e_1,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f6803,f40]) ).
fof(f6848,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_1)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f6803,f38]) ).
fof(f6849,plain,
( ~ sQ124_spl
| ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f6804,f877]) ).
fof(f6851,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f6804,f72]) ).
fof(f6852,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f6804,f70]) ).
fof(f6853,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f6804,f68]) ).
fof(f6854,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f6804,f74]) ).
fof(f6855,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_5,e_1,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f6804,f40]) ).
fof(f6856,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_5)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f6804,f38]) ).
fof(f6858,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1291,f72]) ).
fof(f6859,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1291,f70]) ).
fof(f6860,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1291,f68]) ).
fof(f6861,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1291,f74]) ).
fof(f6862,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1291,f40]) ).
fof(f6863,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1291,f38]) ).
fof(f6868,plain,
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1427,f1291]) ).
fof(f6869,plain,
( ~ sQ73_spl
| ~ sQ37_spl
| ~ sQ47_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1427,f1364]) ).
fof(f6870,plain,
( ~ sQ73_spl
| ~ sQ37_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6869,f48]) ).
fof(f6871,plain,
( ~ sQ73_spl
| ~ sQ37_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f6870]) ).
fof(f6873,plain,
( ~ sQ86_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f6827,f6674]) ).
fof(f6876,plain,
( ~ sQ86_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f6829,f428]) ).
fof(f6877,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6876,f55]) ).
fof(f6878,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f6877]) ).
fof(f6879,plain,
! [X0] :
( ~ sQ8_spl
| product(e_5,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(forward_subsumption_resolution,[status(thm)],[f76,f1253]) ).
fof(f6880,plain,
( ~ sQ56_spl
| ~ sQ82_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f6467,f427,f414,f326]) ).
fof(f6941,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2189,f72]) ).
fof(f6942,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2189,f70]) ).
fof(f6943,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2189,f68]) ).
fof(f6944,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2189,f74]) ).
fof(f6945,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| ~ product(e_5,e_2,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2189,f40]) ).
fof(f6946,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ11_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2189,f38]) ).
fof(f6947,plain,
( ~ sQ89_spl
| ~ sQ11_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2583,f2189]) ).
fof(f6950,plain,
! [X0] :
( ~ sQ79_spl
| 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(backward_subsumption_resolution,[status(thm)],[f75,f3854]) ).
fof(f6951,plain,
( ~ sQ79_spl
| 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)],[f6950,f45]) ).
fof(f6952,plain,
( ~ sQ79_spl
| 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)],[f6950,f44]) ).
fof(f6953,plain,
( ~ sQ79_spl
| 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)],[f6950,f43]) ).
fof(f6954,plain,
( ~ sQ79_spl
| 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)],[f6950,f42]) ).
fof(f6955,plain,
( ~ sQ79_spl
| 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)],[f6950,f41]) ).
fof(f6956,plain,
( ~ sQ79_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f6951,f95,f98,f101,f104,f404]) ).
fof(f6957,plain,
( ~ sQ79_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f6952,f111,f114,f117,f120,f404]) ).
fof(f6958,plain,
( ~ sQ79_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f6953,f127,f130,f133,f136,f404]) ).
fof(f6959,plain,
( ~ sQ79_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f6954,f143,f146,f149,f152,f404]) ).
fof(f6960,plain,
( ~ sQ79_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f6955,f159,f162,f165,f168,f404]) ).
fof(f6961,plain,
( ~ sQ76_spl
| ~ sQ94_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f5319,f146,f452,f395]) ).
fof(f7045,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1747,f74]) ).
fof(f7051,plain,
( ~ sQ42_spl
| ~ sQ63_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1721,f361,f348,f276]) ).
fof(f7052,plain,
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ37_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f3430,f323,f260,f380,f499]) ).
fof(f7053,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f4811,f433,f228,f310]) ).
fof(f7054,plain,
( ~ sQ119_spl
| ~ sQ17_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1318,f307,f149,f537]) ).
fof(f7055,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ42_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4630,f63]) ).
fof(f7056,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ42_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f7055]) ).
fof(f7057,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ87_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f5190,f130,f430,f462,f162]) ).
fof(f7058,plain,
( ~ sQ84_spl
| ~ sQ13_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1108,f257,f136,f420]) ).
fof(f7059,plain,
( ~ sQ28_spl
| ~ sQ84_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4463,f59]) ).
fof(f7060,plain,
( ~ sQ28_spl
| ~ sQ84_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f7059]) ).
fof(f7124,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ82_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f6466,f74]) ).
fof(f7125,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ82_spl
| ~ product(e_4,e_2,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f6466,f40]) ).
fof(f7126,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ82_spl
| ~ product(X0,e_2,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f6466,f38]) ).
fof(f7130,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ55_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f6642,f74]) ).
fof(f7131,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ55_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f6642,f40]) ).
fof(f7132,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ55_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f6642,f38]) ).
fof(f7133,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f6818,f72]) ).
fof(f7134,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f6818,f70]) ).
fof(f7135,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f6818,f68]) ).
fof(f7136,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f6818,f74]) ).
fof(f7137,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f6818,f40]) ).
fof(f7138,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f6818,f38]) ).
fof(f7142,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1747,f74]) ).
fof(f7143,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1747,f40]) ).
fof(f7144,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1747,f38]) ).
fof(f7145,plain,
( ~ sQ65_spl
| ~ sQ82_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f6478,f6466]) ).
fof(f7146,plain,
( ~ sQ65_spl
| ~ sQ82_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f6479,f6466]) ).
fof(f7147,plain,
( ~ sQ65_spl
| ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f6480,f6466]) ).
fof(f7149,plain,
( ~ sQ57_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f6820,f6642]) ).
fof(f7156,plain,
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f7135,f6818]) ).
fof(f7158,plain,
( ~ sQ105_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f3834,f6045]) ).
fof(f7159,plain,
( ~ sQ105_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f7158,f6296]) ).
fof(f7160,plain,
( ~ sQ65_spl
| ~ sQ82_spl
| ~ sQ105_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f7158,f6478]) ).
fof(f7161,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f7158,f72]) ).
fof(f7162,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f7158,f70]) ).
fof(f7163,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f7158,f68]) ).
fof(f7164,plain,
! [X0] :
( ~ sQ105_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f7158,f74]) ).
fof(f7165,plain,
! [X0] :
( ~ sQ105_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f7158,f40]) ).
fof(f7166,plain,
! [X0] :
( ~ sQ105_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f7158,f38]) ).
fof(f7167,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7159,f58]) ).
fof(f7168,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f7167]) ).
fof(f7169,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ123_spl
| product(e_1,e_5,X0)
| product(e_1,e_3,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3104,f1025]) ).
fof(f7171,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| product(e_1,e_5,e_5)
| product(e_1,e_3,e_5)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f7169,f45]) ).
fof(f7172,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| product(e_1,e_5,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f7169,f44]) ).
fof(f7173,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| product(e_1,e_5,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f7169,f43]) ).
fof(f7174,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| product(e_1,e_5,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f7169,f42]) ).
fof(f7175,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| product(e_1,e_5,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f7169,f41]) ).
fof(f7176,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| sQ0_spl
| sQ50_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f7171,f477,f307,f95,f550,f544]) ).
fof(f7177,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| sQ5_spl
| sQ55_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f7172,f493,f323,f111,f550,f544]) ).
fof(f7178,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| sQ10_spl
| sQ60_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f7173,f509,f339,f127,f550,f544]) ).
fof(f7179,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| sQ15_spl
| sQ65_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f7174,f525,f355,f143,f550,f544]) ).
fof(f7180,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| sQ20_spl
| sQ70_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f7175,f541,f371,f159,f550,f544]) ).
fof(f7181,plain,
( ~ sQ57_spl
| ~ sQ55_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f6642,f515,f323,f329]) ).
fof(f7262,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5591,f72]) ).
fof(f7263,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f5591,f70]) ).
fof(f7264,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f5591,f68]) ).
fof(f7265,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f5591,f74]) ).
fof(f7266,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| ~ product(e_5,e_5,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f5591,f40]) ).
fof(f7267,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| ~ product(X0,e_5,e_5)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f5591,f38]) ).
fof(f7268,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f5592,f72]) ).
fof(f7269,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f5592,f70]) ).
fof(f7270,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f5592,f68]) ).
fof(f7271,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5592,f74]) ).
fof(f7272,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| ~ product(e_5,e_4,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f5592,f40]) ).
fof(f7273,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| ~ product(X0,e_4,e_5)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f5592,f38]) ).
fof(f7274,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f717,f72]) ).
fof(f7275,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f717,f70]) ).
fof(f7276,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f717,f68]) ).
fof(f7277,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f717,f74]) ).
fof(f7278,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f717,f40]) ).
fof(f7279,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ44_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f717,f38]) ).
fof(f7280,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4406,f72]) ).
fof(f7281,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f4406,f70]) ).
fof(f7282,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4406,f68]) ).
fof(f7286,plain,
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f5594,f5591]) ).
fof(f7287,plain,
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f5595,f5591]) ).
fof(f7289,plain,
( ~ sQ44_spl
| ~ sQ18_spl
| ~ sQ90_spl
| ~ sQ46_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f4930,f4406]) ).
fof(f7290,plain,
( ~ sQ44_spl
| ~ sQ18_spl
| ~ sQ90_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7289,f62]) ).
fof(f7291,plain,
( ~ sQ44_spl
| ~ sQ18_spl
| ~ sQ90_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f7290]) ).
fof(f7292,plain,
( ~ sQ118_spl
| ~ sQ47_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f1290,f355,f292,f534]) ).
fof(f7293,plain,
( ~ sQ84_spl
| ~ sQ3_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1280,f225,f104,f420]) ).
fof(f7294,plain,
( ~ sQ29_spl
| ~ sQ84_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4464,f63]) ).
fof(f7295,plain,
( ~ sQ29_spl
| ~ sQ84_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f7294]) ).
fof(f7296,plain,
( ~ sQ65_spl
| ~ sQ82_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f6466,f496,f414,f355]) ).
fof(f7297,plain,
( ~ sQ25_spl
| ~ sQ3_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f5591,f489,f104,f222]) ).
fof(f7300,plain,
( ~ sQ76_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f396,f4652]) ).
fof(f7301,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f396,f72]) ).
fof(f7302,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f396,f70]) ).
fof(f7303,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f396,f68]) ).
fof(f7315,plain,
( ~ sQ76_spl
| ~ sQ77_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f399,f4652]) ).
fof(f7316,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f399,f72]) ).
fof(f7317,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f399,f70]) ).
fof(f7318,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f399,f68]) ).
fof(f7322,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f418,f72]) ).
fof(f7323,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f418,f70]) ).
fof(f7324,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f68]) ).
fof(f7325,plain,
! [X0] :
( ~ sQ83_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f418,f74]) ).
fof(f7326,plain,
! [X0] :
( ~ sQ83_spl
| ~ product(e_4,e_4,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f418,f40]) ).
fof(f7368,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1248,f72]) ).
fof(f7369,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1248,f70]) ).
fof(f7370,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1248,f68]) ).
fof(f7371,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1248,f74]) ).
fof(f7372,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ product(e_5,e_3,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1248,f40]) ).
fof(f7373,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ8_spl
| ~ product(X0,e_3,e_5)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1248,f38]) ).
fof(f7374,plain,
( ~ sQ77_spl
| ~ sQ114_spl
| ~ sQ17_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1317,f3911]) ).
fof(f7378,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1317,f74]) ).
fof(f7379,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1317,f40]) ).
fof(f7380,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1317,f38]) ).
fof(f7381,plain,
( ~ sQ77_spl
| ~ sQ114_spl
| ~ sQ17_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f7374,f480,f149,f521,f398]) ).
fof(f7415,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1320,f74]) ).
fof(f7416,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| ~ product(e_5,e_3,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1320,f40]) ).
fof(f7417,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1320,f38]) ).
fof(f7418,plain,
( ~ sQ59_spl
| ~ sQ8_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1394,f1248]) ).
fof(f7419,plain,
( ~ sQ59_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7418,f65]) ).
fof(f7420,plain,
( ~ sQ59_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f7419]) ).
fof(f7424,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2901,f1320]) ).
fof(f7425,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2902,f1320]) ).
fof(f7427,plain,
( ~ sQ83_spl
| ~ sQ51_spl
| ~ sQ27_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f6472,f418]) ).
fof(f7428,plain,
( ~ sQ83_spl
| ~ sQ51_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7427,f60]) ).
fof(f7429,plain,
( ~ sQ83_spl
| ~ sQ51_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f7428]) ).
fof(f7430,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| ~ sQ102_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f3906,f1320]) ).
fof(f7431,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| ~ sQ102_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f7430,f339,f483,f149,f367]) ).
fof(f7462,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f2193,f396]) ).
fof(f7463,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f7315,f72]) ).
fof(f7464,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f7315,f70]) ).
fof(f7465,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f7315,f68]) ).
fof(f7466,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f7315,f74]) ).
fof(f7467,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| ~ product(e_2,e_2,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f7315,f40]) ).
fof(f7468,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| ~ product(X0,e_2,e_2)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f7315,f38]) ).
fof(f7469,plain,
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f1291,f2107]) ).
fof(f7470,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1291,f72]) ).
fof(f7471,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1291,f70]) ).
fof(f7472,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1291,f68]) ).
fof(f7473,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1291,f74]) ).
fof(f7474,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1291,f40]) ).
fof(f7475,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1291,f38]) ).
fof(f7476,plain,
( ~ sQ83_spl
| ~ sQ33_spl
| ~ sQ48_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f2327,f1271]) ).
fof(f7477,plain,
( ~ sQ113_spl
| ~ sQ33_spl
| ~ sQ48_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f2327,f1240]) ).
fof(f7478,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2327,f72]) ).
fof(f7479,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2327,f70]) ).
fof(f7480,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2327,f68]) ).
fof(f7481,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f2327,f74]) ).
fof(f7482,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2327,f40]) ).
fof(f7483,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ48_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f2327,f38]) ).
fof(f7484,plain,
( ~ sQ83_spl
| ~ sQ33_spl
| ~ sQ48_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f7476,f289,f295,f247,f417]) ).
fof(f7485,plain,
( ~ sQ83_spl
| ~ sQ48_spl
| ~ sQ33_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f2424,f1271]) ).
fof(f7486,plain,
( ~ sQ83_spl
| ~ sQ48_spl
| ~ sQ33_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f2424,f1272]) ).
fof(f7487,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f2424,f72]) ).
fof(f7488,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f2424,f70]) ).
fof(f7489,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2424,f68]) ).
fof(f7493,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f7462,f4651]) ).
fof(f7494,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f7462,f72]) ).
fof(f7495,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f7462,f70]) ).
fof(f7496,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f7462,f68]) ).
fof(f7497,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f7462,f74]) ).
fof(f7498,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| ~ product(e_3,e_5,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f7462,f40]) ).
fof(f7499,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| ~ product(X0,e_5,e_3)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f7462,f38]) ).
fof(f7501,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f7469,f72]) ).
fof(f7502,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f7469,f70]) ).
fof(f7503,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f7469,f68]) ).
fof(f7504,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f7469,f74]) ).
fof(f7506,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f7469,f38]) ).
fof(f7507,plain,
( ~ sQ113_spl
| ~ sQ33_spl
| ~ sQ48_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f7477,f1242]) ).
fof(f7508,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f7477,f72]) ).
fof(f7509,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f7477,f70]) ).
fof(f7510,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ33_spl
| ~ sQ48_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f7477,f68]) ).
fof(f7511,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ33_spl
| ~ sQ48_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f7477,f74]) ).
fof(f7512,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ33_spl
| ~ sQ48_spl
| ~ product(e_3,e_1,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f7477,f40]) ).
fof(f7513,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ33_spl
| ~ sQ48_spl
| ~ product(X0,e_1,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f7477,f38]) ).
fof(f7514,plain,
( ~ sQ113_spl
| ~ sQ33_spl
| ~ sQ48_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f7507,f493,f295,f247,f518]) ).
fof(f7515,plain,
( sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f1291]) ).
fof(f7516,plain,
( sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f7515]) ).
fof(f7517,plain,
( ~ sQ29_spl
| ~ sQ106_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4092,f62]) ).
fof(f7518,plain,
( ~ sQ29_spl
| ~ sQ106_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f7517]) ).
fof(f7559,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f7493,f72]) ).
fof(f7560,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f7493,f70]) ).
fof(f7561,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f7493,f68]) ).
fof(f7564,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| ~ product(X0,e_2,e_3)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f7493,f38]) ).
fof(f7565,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f7494,f7462]) ).
fof(f7566,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f7495,f7462]) ).
fof(f7567,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f7496,f7462]) ).
fof(f7568,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f7559,f7493]) ).
fof(f7569,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f7560,f7493]) ).
fof(f7570,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f7561,f7493]) ).
fof(f7571,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f2195,f7462]) ).
fof(f7572,plain,
( ~ sQ23_spl
| ~ sQ49_spl
| ~ sQ76_spl
| ~ sQ11_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f7571,f694]) ).
fof(f7573,plain,
( ~ sQ99_spl
| ~ sQ76_spl
| ~ sQ11_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f7571,f830]) ).
fof(f7574,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f7571,f72]) ).
fof(f7575,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f7571,f70]) ).
fof(f7576,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f7571,f68]) ).
fof(f7577,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f7571,f74]) ).
fof(f7578,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| ~ product(e_2,e_5,X0)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f7571,f40]) ).
fof(f7579,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f7571,f38]) ).
fof(f7580,plain,
( ~ sQ23_spl
| ~ sQ49_spl
| ~ sQ76_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7572,f52]) ).
fof(f7581,plain,
( ~ sQ23_spl
| ~ sQ49_spl
| ~ sQ76_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f7580]) ).
fof(f7582,plain,
( ~ sQ117_spl
| ~ sQ32_spl
| ~ sQ48_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2337,f270,f295,f244,f531]) ).
fof(f7673,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f7315,f72]) ).
fof(f7674,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f7315,f70]) ).
fof(f7675,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f7315,f68]) ).
fof(f7676,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f7315,f74]) ).
fof(f7677,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| ~ product(e_2,e_2,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f7315,f40]) ).
fof(f7678,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ77_spl
| ~ product(X0,e_2,e_2)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f7315,f38]) ).
fof(f7679,plain,
( ~ sQ76_spl
| ~ sQ77_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f7463,f7315]) ).
fof(f7680,plain,
( ~ sQ76_spl
| ~ sQ77_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f7464,f7315]) ).
fof(f7681,plain,
( ~ sQ91_spl
| ~ sQ76_spl
| ~ sQ77_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f7464,f444]) ).
fof(f7682,plain,
( ~ sQ91_spl
| ~ sQ76_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7681,f51]) ).
fof(f7683,plain,
( ~ sQ91_spl
| ~ sQ76_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f7682]) ).
fof(f7734,plain,
( ~ sQ117_spl
| ~ sQ61_spl
| ~ sQ85_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f425,f2508]) ).
fof(f7735,plain,
( ~ sQ117_spl
| ~ sQ61_spl
| ~ sQ85_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f425,f2507]) ).
fof(f7737,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f425,f72]) ).
fof(f7738,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f425,f70]) ).
fof(f7739,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f425,f68]) ).
fof(f7743,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f484,f5299]) ).
fof(f7744,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f484,f72]) ).
fof(f7745,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f484,f70]) ).
fof(f7746,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f484,f68]) ).
fof(f7750,plain,
( ~ sQ85_spl
| ~ sQ113_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f519,f5300]) ).
fof(f7751,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f519,f72]) ).
fof(f7752,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f519,f70]) ).
fof(f7753,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f519,f68]) ).
fof(f7757,plain,
( ~ sQ85_spl
| ~ sQ113_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f7750,f289,f518,f424]) ).
fof(f7758,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f7462,f436,f130,f395]) ).
fof(f7759,plain,
( ~ sQ89_spl
| ~ sQ7_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2086,f326,f117,f436]) ).
fof(f7760,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f469,f72]) ).
fof(f7761,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f469,f70]) ).
fof(f7762,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f469,f68]) ).
fof(f7766,plain,
( ~ sQ19_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f156,f210]) ).
fof(f7767,plain,
( ~ sQ99_spl
| ~ sQ19_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f156,f830]) ).
fof(f7768,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f156,f72]) ).
fof(f7769,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f156,f70]) ).
fof(f7770,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f156,f68]) ).
fof(f7774,plain,
( ~ sQ19_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f7766,f107,f155]) ).
fof(f7775,plain,
( ~ sQ115_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f526,f3042]) ).
fof(f7776,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f526,f72]) ).
fof(f7777,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f526,f70]) ).
fof(f7778,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f526,f68]) ).
fof(f7782,plain,
( ~ sQ115_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f7775,f541,f525]) ).
fof(f7783,plain,
( ~ sQ99_spl
| ~ sQ76_spl
| ~ sQ11_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f7573,f162,f130,f395,f468]) ).
fof(f7784,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f7571,f155,f130,f395]) ).
fof(f7785,plain,
( ~ sQ118_spl
| ~ sQ42_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1327,f323,f276,f534]) ).
fof(f7786,plain,
( ~ sQ87_spl
| ~ sQ114_spl
| ~ sQ17_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f5255,f512,f149,f521,f430]) ).
fof(f7787,plain,
( ~ sQ5_spl
| ~ sQ109_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4248,f65]) ).
fof(f7788,plain,
( ~ sQ5_spl
| ~ sQ109_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f7787]) ).
fof(f7789,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f535,f72]) ).
fof(f7790,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f535,f70]) ).
fof(f7791,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f535,f68]) ).
fof(f7815,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| product(e_3,e_5,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f6054,f45]) ).
fof(f7816,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| product(e_3,e_5,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f6054,f44]) ).
fof(f7817,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| product(e_3,e_5,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f6054,f43]) ).
fof(f7818,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| product(e_3,e_5,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f6054,f42]) ).
fof(f7819,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| product(e_3,e_5,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f6054,f41]) ).
fof(f7820,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| sQ2_spl
| sQ52_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f7815,f483,f313,f101,f342,f348]) ).
fof(f7821,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| sQ7_spl
| sQ57_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f7816,f499,f329,f117,f342,f348]) ).
fof(f7822,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| sQ12_spl
| sQ62_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f7817,f515,f345,f133,f342,f348]) ).
fof(f7823,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| sQ17_spl
| sQ67_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f7818,f531,f361,f149,f342,f348]) ).
fof(f7824,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| sQ22_spl
| sQ72_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f7819,f547,f377,f165,f342,f348]) ).
fof(f7928,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1317,f74]) ).
fof(f7929,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1317,f40]) ).
fof(f7930,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ17_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1317,f38]) ).
fof(f7934,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1111,f74]) ).
fof(f7935,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1111,f40]) ).
fof(f7936,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1111,f38]) ).
fof(f7937,plain,
( ~ sQ118_spl
| ~ sQ74_spl
| ~ sQ13_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1110,f1104]) ).
fof(f7941,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1110,f74]) ).
fof(f7942,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_1,e_3,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1110,f40]) ).
fof(f7943,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_1)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1110,f38]) ).
fof(f7945,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1214,f70]) ).
fof(f7946,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1214,f68]) ).
fof(f7947,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1214,f74]) ).
fof(f7948,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_1,e_5,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1214,f40]) ).
fof(f7949,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_5,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1214,f38]) ).
fof(f7953,plain,
( ~ sQ114_spl
| ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1161,f1111]) ).
fof(f7954,plain,
( ~ sQ114_spl
| ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1162,f1111]) ).
fof(f7955,plain,
( ~ sQ114_spl
| ~ sQ13_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1163,f1111]) ).
fof(f7956,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1151,f1110]) ).
fof(f7957,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1152,f1110]) ).
fof(f7958,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1153,f1110]) ).
fof(f7959,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1694,f1214]) ).
fof(f7960,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1695,f1214]) ).
fof(f7961,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1696,f1214]) ).
fof(f7962,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ122_spl
| product(e_1,e_5,X0)
| product(e_1,e_4,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3104,f1315]) ).
fof(f7963,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ122_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f1315,f1317]) ).
fof(f7964,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ122_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f7963,f525,f547,f149,f521]) ).
fof(f8035,plain,
( ~ sQ114_spl
| ~ sQ13_spl
| ~ sQ109_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1107,f1163]) ).
fof(f8039,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1107,f74]) ).
fof(f8040,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1107,f40]) ).
fof(f8041,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1107,f38]) ).
fof(f8042,plain,
( ~ sQ114_spl
| ~ sQ13_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8035,f57]) ).
fof(f8043,plain,
( ~ sQ114_spl
| ~ sQ13_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f8042]) ).
fof(f8074,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1291,f72]) ).
fof(f8075,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1291,f70]) ).
fof(f8076,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1291,f68]) ).
fof(f8077,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1291,f74]) ).
fof(f8078,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1291,f40]) ).
fof(f8079,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1291,f38]) ).
fof(f8080,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f7469,f72]) ).
fof(f8081,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f7469,f70]) ).
fof(f8082,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f7469,f68]) ).
fof(f8083,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f7469,f74]) ).
fof(f8085,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f7469,f38]) ).
fof(f8086,plain,
( ~ sQ100_spl
| ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f1928,f4668]) ).
fof(f8087,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1928,f72]) ).
fof(f8088,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1928,f70]) ).
fof(f8089,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1928,f68]) ).
fof(f8090,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1928,f74]) ).
fof(f8091,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| ~ product(e_1,e_2,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1928,f40]) ).
fof(f8092,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| ~ product(X0,e_2,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1928,f38]) ).
fof(f8093,plain,
( ~ sQ100_spl
| ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ97_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f8086,f392,f462,f292,f534,f477]) ).
fof(f8104,plain,
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f6858,f1291]) ).
fof(f8105,plain,
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f6859,f1291]) ).
fof(f8106,plain,
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f6860,f7469]) ).
fof(f8107,plain,
( ~ sQ73_spl
| ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f6860,f1291]) ).
fof(f8108,plain,
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8106,f56]) ).
fof(f8109,plain,
( ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f8108]) ).
fof(f8150,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1720,f72]) ).
fof(f8151,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1720,f70]) ).
fof(f8152,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1720,f68]) ).
fof(f8153,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1720,f74]) ).
fof(f8155,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1720,f38]) ).
fof(f8156,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3499,f2597]) ).
fof(f8157,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3499,f72]) ).
fof(f8158,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3499,f70]) ).
fof(f8159,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f3499,f68]) ).
fof(f8160,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f3499,f74]) ).
fof(f8161,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(e_2,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f3499,f40]) ).
fof(f8162,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f3499,f38]) ).
fof(f8163,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8156,f54]) ).
fof(f8164,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| ~ sQ67_spl
| ~ sQ37_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f8163]) ).
fof(f8165,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3422,f72]) ).
fof(f8166,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3422,f70]) ).
fof(f8167,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f3422,f68]) ).
fof(f8168,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f3422,f74]) ).
fof(f8169,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f3422,f40]) ).
fof(f8170,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f3422,f38]) ).
fof(f8171,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2674,f72]) ).
fof(f8172,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f2674,f70]) ).
fof(f8173,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2674,f68]) ).
fof(f8174,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ38_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2674,f74]) ).
fof(f8175,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ product(e_3,e_3,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2674,f40]) ).
fof(f8176,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ product(X0,e_3,e_3)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f2674,f38]) ).
fof(f8177,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2664,f3422]) ).
fof(f8178,plain,
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2664,f1720]) ).
fof(f8179,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8177,f60]) ).
fof(f8180,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f8179]) ).
fof(f8181,plain,
( ~ sQ22_spl
| ~ sQ74_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f765,f139,f383,f165]) ).
fof(f8182,plain,
( ~ sQ114_spl
| ~ sQ22_spl
| ~ sQ74_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1545,f95,f383,f165,f521]) ).
fof(f8213,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f7743,f72]) ).
fof(f8214,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f7743,f70]) ).
fof(f8215,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f7743,f68]) ).
fof(f8216,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f7743,f74]) ).
fof(f8217,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f7743,f40]) ).
fof(f8218,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f7743,f38]) ).
fof(f8219,plain,
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2662,f1720]) ).
fof(f8220,plain,
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2663,f2674]) ).
fof(f8221,plain,
( ~ sQ37_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2663,f1720]) ).
fof(f8222,plain,
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8220,f60]) ).
fof(f8223,plain,
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f8222]) ).
fof(f8224,plain,
( sQ65_spl
| ~ sQ114_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f1317]) ).
fof(f8225,plain,
( sQ65_spl
| ~ sQ114_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f8224]) ).
fof(f8227,plain,
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f999,f58]) ).
fof(f8228,plain,
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f8227]) ).
fof(f8292,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1111,f74]) ).
fof(f8293,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1111,f40]) ).
fof(f8294,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1111,f38]) ).
fof(f8296,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f7743,f70]) ).
fof(f8297,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f7743,f68]) ).
fof(f8298,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f7743,f74]) ).
fof(f8299,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f7743,f40]) ).
fof(f8300,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f7743,f38]) ).
fof(f8301,plain,
( ~ sQ114_spl
| ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1161,f1111]) ).
fof(f8304,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f8213,f7743]) ).
fof(f8305,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f8214,f7743]) ).
fof(f8306,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f8215,f7743]) ).
fof(f8307,plain,
( ~ sQ114_spl
| ~ sQ13_spl
| ~ sQ53_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f3889,f1111]) ).
fof(f8308,plain,
( ~ sQ114_spl
| ~ sQ13_spl
| ~ sQ53_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f8307,f499,f316,f136,f521]) ).
fof(f8339,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ17_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f1324,f7743]) ).
fof(f8340,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ17_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f8339,f452,f149,f483,f424]) ).
fof(f8351,plain,
( ~ sQ25_spl
| ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1157,f4688]) ).
fof(f8352,plain,
( ~ sQ100_spl
| ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1157,f4670]) ).
fof(f8353,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1157,f72]) ).
fof(f8354,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1157,f70]) ).
fof(f8355,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1157,f68]) ).
fof(f8356,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1157,f74]) ).
fof(f8357,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| ~ product(e_5,e_3,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1157,f40]) ).
fof(f8358,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_5)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1157,f38]) ).
fof(f8359,plain,
( ~ sQ100_spl
| ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f8352,f371,f136,f521,f380,f477]) ).
fof(f8360,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1326,f1317]) ).
fof(f8361,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f115,f72]) ).
fof(f8362,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f115,f70]) ).
fof(f8363,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f115,f68]) ).
fof(f8367,plain,
( ~ sQ25_spl
| ~ sQ100_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f478,f4688]) ).
fof(f8368,plain,
( ~ sQ100_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f478,f4670]) ).
fof(f8369,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f478,f72]) ).
fof(f8370,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f478,f70]) ).
fof(f8371,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f478,f68]) ).
fof(f8375,plain,
( ~ sQ25_spl
| ~ sQ100_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f8367,f550,f477,f222]) ).
fof(f8376,plain,
( ~ sQ100_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f8368,f541,f477]) ).
fof(f8377,plain,
( ~ sQ89_spl
| ~ sQ11_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f2189,f395,f130,f436]) ).
fof(f8378,plain,
( ~ sQ73_spl
| ~ sQ114_spl
| ~ sQ13_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1157,f483,f136,f521,f380]) ).
fof(f8379,plain,
( ~ sQ75_spl
| ~ sQ101_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f6084,f459,f480,f392]) ).
fof(f8380,plain,
( ~ sQ84_spl
| ~ sQ8_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1244,f241,f120,f420]) ).
fof(f8381,plain,
( ~ sQ73_spl
| ~ sQ84_spl
| ~ sQ13_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1133,f462,f136,f420,f380]) ).
fof(f8382,plain,
( ~ sQ54_spl
| ~ sQ89_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4476,f63]) ).
fof(f8383,plain,
( ~ sQ54_spl
| ~ sQ89_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f8382]) ).
fof(f8384,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f343,f72]) ).
fof(f8385,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f343,f70]) ).
fof(f8386,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f68]) ).
fof(f8387,plain,
! [X0] :
( ~ sQ61_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f343,f74]) ).
fof(f8388,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_3,e_2,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f40]) ).
fof(f8390,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f124,f72]) ).
fof(f8391,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f124,f70]) ).
fof(f8392,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f124,f68]) ).
fof(f8393,plain,
! [X0] :
( ~ sQ9_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f124,f74]) ).
fof(f8394,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(e_4,e_5,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f124,f40]) ).
fof(f8395,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f124,f38]) ).
fof(f8396,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f469,f72]) ).
fof(f8397,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f469,f70]) ).
fof(f8398,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f469,f68]) ).
fof(f8402,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f255,f72]) ).
fof(f8403,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f255,f70]) ).
fof(f8404,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f255,f68]) ).
fof(f8405,plain,
! [X0] :
( ~ sQ35_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f255,f74]) ).
fof(f8406,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_3,e_1,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f255,f40]) ).
fof(f8407,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(X0,e_1,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f255,f38]) ).
fof(f8498,plain,
( ~ sQ61_spl
| ~ sQ42_spl
| ~ sQ88_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1748,f343]) ).
fof(f8499,plain,
( ~ sQ61_spl
| ~ sQ42_spl
| ~ sQ88_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1749,f343]) ).
fof(f8501,plain,
( ~ sQ91_spl
| ~ sQ42_spl
| ~ sQ88_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1755,f444]) ).
fof(f8502,plain,
( ~ sQ91_spl
| ~ sQ42_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8501,f51]) ).
fof(f8503,plain,
( ~ sQ91_spl
| ~ sQ42_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f8502]) ).
fof(f8534,plain,
! [X0] :
( ~ sQ61_spl
| product(e_3,e_5,X0)
| product(e_3,e_4,X0)
| product(e_3,e_3,X0)
| product(e_3,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f82,f2207]) ).
fof(f8535,plain,
( ~ sQ61_spl
| 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_1,e_5) ),
inference(resolution,[status(thm)],[f8534,f45]) ).
fof(f8536,plain,
( ~ sQ61_spl
| 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_1,e_4) ),
inference(resolution,[status(thm)],[f8534,f44]) ).
fof(f8537,plain,
( ~ sQ61_spl
| 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_1,e_3) ),
inference(resolution,[status(thm)],[f8534,f43]) ).
fof(f8538,plain,
( ~ sQ61_spl
| 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_1,e_2) ),
inference(resolution,[status(thm)],[f8534,f42]) ).
fof(f8539,plain,
( ~ sQ61_spl
| 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_1,e_1) ),
inference(resolution,[status(thm)],[f8534,f41]) ).
fof(f8540,plain,
( ~ sQ61_spl
| sQ2_spl
| sQ27_spl
| sQ52_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f8535,f483,f313,f228,f101,f342]) ).
fof(f8541,plain,
( ~ sQ61_spl
| sQ7_spl
| sQ32_spl
| sQ57_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f8536,f499,f329,f244,f117,f342]) ).
fof(f8542,plain,
( ~ sQ61_spl
| sQ12_spl
| sQ37_spl
| sQ62_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f8537,f515,f345,f260,f133,f342]) ).
fof(f8543,plain,
( ~ sQ61_spl
| sQ17_spl
| sQ42_spl
| sQ67_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f8538,f531,f361,f276,f149,f342]) ).
fof(f8544,plain,
( ~ sQ61_spl
| sQ22_spl
| sQ47_spl
| sQ72_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f8539,f547,f377,f292,f165,f342]) ).
fof(f8545,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f951,f72]) ).
fof(f8546,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f951,f70]) ).
fof(f8547,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f951,f68]) ).
fof(f8548,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f951,f74]) ).
fof(f8549,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_5,e_5,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f951,f40]) ).
fof(f8550,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_5,e_5)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f951,f38]) ).
fof(f8554,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f950,f74]) ).
fof(f8555,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f950,f40]) ).
fof(f8556,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f950,f38]) ).
fof(f8557,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1174,f72]) ).
fof(f8558,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1174,f70]) ).
fof(f8559,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1174,f68]) ).
fof(f8560,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ13_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1174,f74]) ).
fof(f8561,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ13_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1174,f40]) ).
fof(f8562,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1174,f38]) ).
fof(f8563,plain,
( ~ sQ35_spl
| ~ sQ106_spl
| ~ sQ78_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3992,f255]) ).
fof(f8564,plain,
( ~ sQ35_spl
| ~ sQ106_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8563,f57]) ).
fof(f8565,plain,
( ~ sQ35_spl
| ~ sQ106_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f8564]) ).
fof(f8566,plain,
( ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ74_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f772,f104,f383,f165,f266]) ).
fof(f8620,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f6818,f74]) ).
fof(f8621,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f6818,f40]) ).
fof(f8622,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f6818,f38]) ).
fof(f8626,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f7743,f74]) ).
fof(f8627,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f7743,f40]) ).
fof(f8628,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f7743,f38]) ).
fof(f8629,plain,
( ~ sQ99_spl
| ~ sQ22_spl
| ~ sQ71_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2267,f469]) ).
fof(f8630,plain,
( ~ sQ99_spl
| ~ sQ22_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8629,f47]) ).
fof(f8631,plain,
( ~ sQ99_spl
| ~ sQ22_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f8630]) ).
fof(f8633,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f988,f7743]) ).
fof(f8634,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8633,f53]) ).
fof(f8635,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f8634]) ).
fof(f8638,plain,
( ~ sQ61_spl
| ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f966,f343]) ).
fof(f8639,plain,
( ~ sQ61_spl
| ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8638,f54]) ).
fof(f8640,plain,
( ~ sQ61_spl
| ~ sQ89_spl
| ~ sQ39_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f8639]) ).
fof(f8671,plain,
( ~ sQ9_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f4696,f124]) ).
fof(f8675,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f6818,f74]) ).
fof(f8676,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f6818,f40]) ).
fof(f8677,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f6818,f38]) ).
fof(f8680,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f8671,f72]) ).
fof(f8681,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f8671,f70]) ).
fof(f8682,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f8671,f68]) ).
fof(f8683,plain,
! [X0] :
( ~ sQ9_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f8671,f74]) ).
fof(f8685,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(X0,e_5,e_5)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f8671,f38]) ).
fof(f8748,plain,
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f984,f950]) ).
fof(f8752,plain,
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f7134,f6818]) ).
fof(f8754,plain,
( ~ sQ9_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f8680,f8671]) ).
fof(f8755,plain,
( ~ sQ9_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f8681,f8671]) ).
fof(f8756,plain,
( ~ sQ9_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f8682,f8671]) ).
fof(f8757,plain,
( ~ sQ9_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f8682,f124]) ).
fof(f8758,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8757,f61]) ).
fof(f8759,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f8758]) ).
fof(f8760,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| product(e_1,e_5,e_5)
| product(e_1,e_4,e_5)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f7962,f45]) ).
fof(f8761,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f7962,f44]) ).
fof(f8762,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f7962,f43]) ).
fof(f8763,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f7962,f42]) ).
fof(f8764,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| product(e_1,e_5,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f7962,f41]) ).
fof(f8765,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| sQ0_spl
| sQ25_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f8760,f477,f222,f95,f547,f544]) ).
fof(f8766,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| sQ5_spl
| sQ30_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f8761,f493,f238,f111,f547,f544]) ).
fof(f8767,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| sQ10_spl
| sQ35_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f8762,f509,f254,f127,f547,f544]) ).
fof(f8768,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| sQ15_spl
| sQ40_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f8763,f525,f270,f143,f547,f544]) ).
fof(f8769,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| sQ20_spl
| sQ45_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f8764,f541,f286,f159,f547,f544]) ).
fof(f8820,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ60_spl
| product(e_3,e_4,X0)
| product(e_3,e_3,X0)
| product(e_3,e_2,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f799,f3060]) ).
fof(f8821,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ60_spl
| product(e_3,e_5,X0)
| product(e_3,e_3,X0)
| product(e_3,e_2,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1719,f3060]) ).
fof(f8822,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| product(e_3,e_4,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f8820,f45]) ).
fof(f8823,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f8820,f44]) ).
fof(f8824,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f8820,f43]) ).
fof(f8825,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f8820,f42]) ).
fof(f8826,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f8820,f41]) ).
fof(f8827,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| sQ27_spl
| sQ52_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f8822,f398,f313,f228,f339,f351]) ).
fof(f8828,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| sQ32_spl
| sQ57_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f8823,f414,f329,f244,f339,f351]) ).
fof(f8829,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| sQ37_spl
| sQ62_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f8824,f430,f345,f260,f339,f351]) ).
fof(f8830,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| sQ42_spl
| sQ67_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f8825,f446,f361,f276,f339,f351]) ).
fof(f8831,plain,
( ~ sQ64_spl
| ~ sQ60_spl
| sQ47_spl
| sQ72_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f8826,f462,f377,f292,f339,f351]) ).
fof(f8832,plain,
( ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f2704,f342,f260,f380,f462]) ).
fof(f8833,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_5,X0)
| product(e_3,e_4,X0)
| product(e_3,e_3,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f8534,f3060]) ).
fof(f8834,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_4,X0)
| product(e_3,e_3,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6021,f3060]) ).
fof(f8835,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_4,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f8834,f45]) ).
fof(f8836,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f8834,f44]) ).
fof(f8837,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f8834,f43]) ).
fof(f8838,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f8834,f42]) ).
fof(f8839,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f8834,f41]) ).
fof(f8840,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| sQ27_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f8835,f313,f228,f339,f342,f351]) ).
fof(f8841,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| sQ32_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f8836,f329,f244,f339,f342,f351]) ).
fof(f8842,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| sQ37_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f8837,f345,f260,f339,f342,f351]) ).
fof(f8843,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| sQ42_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f8838,f361,f276,f339,f342,f351]) ).
fof(f8844,plain,
( ~ sQ64_spl
| ~ sQ61_spl
| ~ sQ60_spl
| sQ47_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f8839,f377,f292,f339,f342,f351]) ).
fof(f8895,plain,
( ~ sQ55_spl
| ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ37_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1364,f7135]) ).
fof(f8896,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1364,f72]) ).
fof(f8897,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1364,f70]) ).
fof(f8898,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1364,f68]) ).
fof(f8899,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1364,f74]) ).
fof(f8900,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1364,f40]) ).
fof(f8901,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ37_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1364,f38]) ).
fof(f8902,plain,
( ~ sQ55_spl
| ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8895,f48]) ).
fof(f8903,plain,
( ~ sQ55_spl
| ~ sQ57_spl
| ~ sQ73_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f8902]) ).
fof(f8904,plain,
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4104,f58]) ).
fof(f8905,plain,
( ~ sQ53_spl
| ~ sQ110_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f8904]) ).
fof(f8906,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2711,f72]) ).
fof(f8907,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f2711,f70]) ).
fof(f8908,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2711,f68]) ).
fof(f8909,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2711,f74]) ).
fof(f8910,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| ~ product(e_3,e_3,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2711,f40]) ).
fof(f8911,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ97_spl
| ~ sQ73_spl
| ~ sQ37_spl
| ~ product(X0,e_3,e_3)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2711,f38]) ).
fof(f8912,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2008,f72]) ).
fof(f8913,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2008,f70]) ).
fof(f8914,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2008,f68]) ).
fof(f8915,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2008,f74]) ).
fof(f8916,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2008,f40]) ).
fof(f8917,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2008,f38]) ).
fof(f8918,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2028,f72]) ).
fof(f8919,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2028,f70]) ).
fof(f8920,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2028,f68]) ).
fof(f8921,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2028,f74]) ).
fof(f8922,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2028,f40]) ).
fof(f8923,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_4,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2028,f38]) ).
fof(f8924,plain,
( ~ sQ73_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f2043,f943]) ).
fof(f8925,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2043,f72]) ).
fof(f8926,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f2043,f70]) ).
fof(f8927,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2043,f68]) ).
fof(f8928,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2043,f74]) ).
fof(f8929,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| ~ product(e_1,e_5,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2043,f40]) ).
fof(f8930,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| ~ product(X0,e_5,e_1)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2043,f38]) ).
fof(f8931,plain,
( ~ sQ73_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f8924,f117,f377,f298,f165,f380]) ).
fof(f8932,plain,
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f6818,f1332]) ).
fof(f8936,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f6818,f74]) ).
fof(f8937,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f6818,f40]) ).
fof(f8938,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f6818,f38]) ).
fof(f8939,plain,
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f8932,f364,f329,f323,f276]) ).
fof(f8940,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f950,f72]) ).
fof(f8941,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f950,f70]) ).
fof(f8942,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f950,f68]) ).
fof(f8943,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f950,f74]) ).
fof(f8944,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f950,f40]) ).
fof(f8945,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f950,f38]) ).
fof(f8946,plain,
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ sQ42_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1334,f950]) ).
fof(f8947,plain,
( ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ73_spl
| ~ sQ42_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f8946,f518,f276,f380,f266,f537]) ).
fof(f8948,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f381,f72]) ).
fof(f8949,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f381,f70]) ).
fof(f8950,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f381,f68]) ).
fof(f8954,plain,
( ~ sQ42_spl
| ~ sQ65_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f356,f1334]) ).
fof(f8955,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f356,f72]) ).
fof(f8956,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f356,f70]) ).
fof(f8957,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f356,f68]) ).
fof(f8961,plain,
( ~ sQ42_spl
| ~ sQ65_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f8954,f518,f355,f276]) ).
fof(f8969,plain,
( ~ sQ106_spl
| ~ sQ78_spl
| ~ sQ75_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f393,f3991]) ).
fof(f8970,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f393,f72]) ).
fof(f8971,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f393,f70]) ).
fof(f8972,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f393,f68]) ).
fof(f8976,plain,
( ~ sQ106_spl
| ~ sQ78_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8969,f52]) ).
fof(f8977,plain,
( ~ sQ106_spl
| ~ sQ78_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f8976]) ).
fof(f8978,plain,
( ~ sQ59_spl
| ~ sQ3_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f1281,f228,f104,f335]) ).
fof(f8979,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f153,f72]) ).
fof(f8980,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f153,f70]) ).
fof(f8981,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f153,f68]) ).
fof(f8983,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_2,e_4,X0)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f153,f40]) ).
fof(f8984,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_4,e_2)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f153,f38]) ).
fof(f8985,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_5,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f8833,f45]) ).
fof(f8986,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f8833,f44]) ).
fof(f8987,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_5,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f8833,f43]) ).
fof(f8988,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f8833,f42]) ).
fof(f8989,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f8833,f41]) ).
fof(f8990,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| sQ2_spl
| sQ27_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f8985,f313,f228,f101,f339,f342]) ).
fof(f8991,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| sQ7_spl
| sQ32_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f8986,f329,f244,f117,f339,f342]) ).
fof(f8992,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| sQ12_spl
| sQ37_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f8987,f345,f260,f133,f339,f342]) ).
fof(f8993,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| sQ17_spl
| sQ42_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f8988,f361,f276,f149,f339,f342]) ).
fof(f8994,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| sQ22_spl
| sQ47_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f8989,f377,f292,f165,f339,f342]) ).
fof(f9085,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2560,f72]) ).
fof(f9086,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2560,f70]) ).
fof(f9087,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2560,f68]) ).
fof(f9088,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2560,f74]) ).
fof(f9089,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| ~ product(e_5,e_4,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2560,f40]) ).
fof(f9090,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| ~ product(X0,e_4,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2560,f38]) ).
fof(f9091,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1355,f72]) ).
fof(f9092,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1355,f70]) ).
fof(f9093,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1355,f68]) ).
fof(f9094,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1355,f74]) ).
fof(f9095,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1355,f40]) ).
fof(f9096,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1355,f38]) ).
fof(f9097,plain,
( ~ sQ91_spl
| ~ sQ75_spl
| ~ sQ101_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f6290,f444]) ).
fof(f9098,plain,
( ~ sQ91_spl
| ~ sQ75_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9097,f50]) ).
fof(f9099,plain,
( ~ sQ91_spl
| ~ sQ75_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f9098]) ).
fof(f9100,plain,
( ~ sQ73_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2338,f381]) ).
fof(f9101,plain,
( ~ sQ73_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2339,f381]) ).
fof(f9102,plain,
( ~ sQ2_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2340,f2560]) ).
fof(f9103,plain,
( ~ sQ73_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2340,f381]) ).
fof(f9104,plain,
( ~ sQ2_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9102,f62]) ).
fof(f9105,plain,
( ~ sQ2_spl
| ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f9104]) ).
fof(f9139,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f6818,f74]) ).
fof(f9140,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f6818,f40]) ).
fof(f9141,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f6818,f38]) ).
fof(f9142,plain,
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f7133,f6818]) ).
fof(f9143,plain,
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f7134,f6818]) ).
fof(f9144,plain,
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f7135,f6818]) ).
fof(f9145,plain,
( ~ sQ91_spl
| ~ sQ96_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f2146,f444]) ).
fof(f9146,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f9145,f72]) ).
fof(f9147,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f9145,f70]) ).
fof(f9148,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f9145,f68]) ).
fof(f9150,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ96_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f9145,f40]) ).
fof(f9151,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ96_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f9145,f38]) ).
fof(f9152,plain,
( ~ sQ91_spl
| ~ sQ96_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f9146,f9145]) ).
fof(f9154,plain,
( ~ sQ91_spl
| ~ sQ96_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f9148,f9145]) ).
fof(f9155,plain,
( ~ sQ91_spl
| ~ sQ96_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f9148,f444]) ).
fof(f9156,plain,
( ~ sQ91_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9155,f50]) ).
fof(f9157,plain,
( ~ sQ91_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f9156]) ).
fof(f9190,plain,
( ~ sQ120_spl
| ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f5287,f542]) ).
fof(f9191,plain,
( ~ sQ65_spl
| ~ sQ67_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1340,f356]) ).
fof(f9192,plain,
( ~ sQ57_spl
| ~ sQ55_spl
| ~ sQ65_spl
| ~ sQ67_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f9191,f6821]) ).
fof(f9193,plain,
( ~ sQ57_spl
| ~ sQ55_spl
| ~ sQ65_spl
| ~ sQ67_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f9191,f6820]) ).
fof(f9194,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f9191,f4680]) ).
fof(f9195,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| ~ sQ67_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f9191,f3821]) ).
fof(f9196,plain,
( ~ sQ57_spl
| ~ sQ55_spl
| ~ sQ65_spl
| ~ sQ67_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f9191,f6819]) ).
fof(f9197,plain,
( ~ sQ65_spl
| ~ sQ67_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f9191,f6081]) ).
fof(f9198,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f9191,f72]) ).
fof(f9199,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f9191,f70]) ).
fof(f9200,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f9191,f68]) ).
fof(f9201,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f9191,f74]) ).
fof(f9202,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f9191,f40]) ).
fof(f9203,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f9191,f38]) ).
fof(f9205,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f9194,f72]) ).
fof(f9206,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f9194,f70]) ).
fof(f9207,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f9194,f68]) ).
fof(f9208,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f9194,f74]) ).
fof(f9209,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| ~ product(e_5,e_3,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f9194,f40]) ).
fof(f9210,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f9194,f38]) ).
fof(f9214,plain,
( ~ sQ67_spl
| ~ sQ65_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f9197,f1340]) ).
fof(f9215,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f9197,f72]) ).
fof(f9216,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f9197,f70]) ).
fof(f9217,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f9197,f68]) ).
fof(f9234,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f9214,f72]) ).
fof(f9235,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f9214,f70]) ).
fof(f9236,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f9214,f68]) ).
fof(f9237,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ65_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f9214,f74]) ).
fof(f9239,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ65_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f9214,f38]) ).
fof(f9240,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f9194,f72]) ).
fof(f9241,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f9194,f70]) ).
fof(f9242,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f9194,f68]) ).
fof(f9243,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f9194,f74]) ).
fof(f9244,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| ~ product(e_5,e_3,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f9194,f40]) ).
fof(f9245,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ65_spl
| ~ sQ67_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f9194,f38]) ).
fof(f9246,plain,
( ~ sQ65_spl
| ~ sQ67_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f9215,f9197]) ).
fof(f9247,plain,
( ~ sQ65_spl
| ~ sQ67_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f9215,f356]) ).
fof(f9248,plain,
( ~ sQ65_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9247,f47]) ).
fof(f9249,plain,
( ~ sQ65_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f9248]) ).
fof(f9300,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f830,f153]) ).
fof(f9301,plain,
( ~ sQ93_spl
| ~ sQ18_spl
| ~ sQ99_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f9300,f1078]) ).
fof(f9302,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f9300,f215]) ).
fof(f9303,plain,
( ~ sQ73_spl
| ~ sQ18_spl
| ~ sQ99_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f9300,f943]) ).
fof(f9304,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f9300,f72]) ).
fof(f9305,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f9300,f70]) ).
fof(f9306,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f9300,f68]) ).
fof(f9307,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f9300,f74]) ).
fof(f9308,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| ~ product(e_1,e_2,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f9300,f40]) ).
fof(f9309,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| ~ product(X0,e_2,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f9300,f38]) ).
fof(f9310,plain,
( ~ sQ93_spl
| ~ sQ18_spl
| ~ sQ99_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f9301,f459,f468,f152,f449]) ).
fof(f9311,plain,
( ~ sQ73_spl
| ~ sQ18_spl
| ~ sQ99_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f9303,f414,f468,f152,f380]) ).
fof(f9342,plain,
( ~ sQ120_spl
| ~ sQ20_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f204,f542]) ).
fof(f9343,plain,
( ~ sQ20_spl
| ~ sQ120_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f9342,f204]) ).
fof(f9344,plain,
( ~ sQ120_spl
| ~ sQ20_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f9342,f3022]) ).
fof(f9345,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f9342,f72]) ).
fof(f9346,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f9342,f70]) ).
fof(f9347,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f9342,f68]) ).
fof(f9348,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f9342,f74]) ).
fof(f9349,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| ~ product(e_1,e_5,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f9342,f40]) ).
fof(f9350,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| ~ product(X0,e_5,e_1)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f9342,f38]) ).
fof(f9351,plain,
( ~ sQ99_spl
| ~ sQ20_spl
| ~ sQ120_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f9343,f832]) ).
fof(f9352,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f9343,f72]) ).
fof(f9353,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f9343,f70]) ).
fof(f9354,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f9343,f68]) ).
fof(f9355,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f9343,f74]) ).
fof(f9356,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| ~ product(e_1,e_5,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f9343,f40]) ).
fof(f9357,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f9343,f38]) ).
fof(f9360,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f9344,f72]) ).
fof(f9361,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f9344,f70]) ).
fof(f9362,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f9344,f68]) ).
fof(f9363,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f9344,f74]) ).
fof(f9364,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| ~ product(e_1,e_1,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f9344,f40]) ).
fof(f9377,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ30_spl
| product(e_4,e_5,X0)
| product(e_4,e_4,X0)
| product(e_4,e_3,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3468,f3816]) ).
fof(f9378,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| product(e_4,e_5,e_5)
| product(e_4,e_4,e_5)
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f9377,f45]) ).
fof(f9379,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f9377,f44]) ).
fof(f9380,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| product(e_4,e_5,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f9377,f43]) ).
fof(f9381,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| product(e_4,e_5,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f9377,f42]) ).
fof(f9382,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| product(e_4,e_5,e_1)
| product(e_4,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f9377,f41]) ).
fof(f9383,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| sQ3_spl
| sQ28_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f9378,f316,f231,f104,f238,f241]) ).
fof(f9384,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| sQ8_spl
| sQ33_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f9379,f332,f247,f120,f238,f241]) ).
fof(f9385,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| sQ13_spl
| sQ38_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f9380,f348,f263,f136,f238,f241]) ).
fof(f9386,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| sQ18_spl
| sQ43_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f9381,f364,f279,f152,f238,f241]) ).
fof(f9387,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| sQ23_spl
| sQ48_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f9382,f380,f295,f168,f238,f241]) ).
fof(f9408,plain,
( ~ sQ65_spl
| ~ sQ77_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f3911,f356]) ).
fof(f9409,plain,
( ~ sQ65_spl
| ~ sQ77_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f9408,f480,f398,f355]) ).
fof(f9460,plain,
( ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f2560,f2118]) ).
fof(f9461,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2560,f72]) ).
fof(f9462,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2560,f70]) ).
fof(f9463,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2560,f68]) ).
fof(f9464,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2560,f74]) ).
fof(f9465,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| ~ product(e_5,e_4,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2560,f40]) ).
fof(f9466,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ39_spl
| ~ product(X0,e_4,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2560,f38]) ).
fof(f9467,plain,
( ~ sQ53_spl
| ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f9460,f3889]) ).
fof(f9468,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f9460,f72]) ).
fof(f9469,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f9460,f70]) ).
fof(f9470,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f9460,f68]) ).
fof(f9471,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f9460,f74]) ).
fof(f9472,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f9460,f40]) ).
fof(f9473,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f9460,f38]) ).
fof(f9474,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f9467,f72]) ).
fof(f9475,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f9467,f70]) ).
fof(f9476,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ107_spl
| ~ sQ2_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f9467,f68]) ).
fof(f9480,plain,
( ~ sQ2_spl
| ~ sQ39_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f2124,f2560]) ).
fof(f9481,plain,
( ~ sQ2_spl
| ~ sQ39_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f9480,f234,f266,f101]) ).
fof(f9483,plain,
( ~ sQ91_spl
| ~ sQ41_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2168,f444]) ).
fof(f9484,plain,
( ~ sQ6_spl
| ~ sQ91_spl
| ~ sQ41_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f9483,f2971]) ).
fof(f9485,plain,
( ~ sQ41_spl
| ~ sQ91_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f9483,f2168]) ).
fof(f9486,plain,
( ~ sQ91_spl
| ~ sQ41_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f9483,f2180]) ).
fof(f9487,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ41_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f9483,f72]) ).
fof(f9488,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f9483,f70]) ).
fof(f9489,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f9483,f68]) ).
fof(f9490,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ41_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f9483,f74]) ).
fof(f9491,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ41_spl
| ~ product(e_2,e_4,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f9483,f40]) ).
fof(f9492,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ41_spl
| ~ product(X0,e_4,e_2)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f9483,f38]) ).
fof(f9493,plain,
( ~ sQ41_spl
| ~ sQ91_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f9485,f279,f443,f273]) ).
fof(f9501,plain,
( ~ sQ6_spl
| ~ sQ93_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f450,f2971]) ).
fof(f9502,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f450,f2180]) ).
fof(f9503,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f450,f72]) ).
fof(f9504,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f450,f70]) ).
fof(f9505,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f68]) ).
fof(f9509,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f9502,f273,f449,f443]) ).
fof(f9510,plain,
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1385,f414,f120,f420,f364]) ).
fof(f9511,plain,
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ8_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1406,f398,f120,f420,f364]) ).
fof(f9512,plain,
( ~ sQ84_spl
| ~ sQ8_spl
| ~ sQ38_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1474,f433,f263,f120,f420]) ).
fof(f9513,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f1328,f329,f276,f364]) ).
fof(f9514,plain,
( ~ sQ107_spl
| ~ sQ84_spl
| ~ sQ17_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f2907,f424,f149,f420,f499]) ).
fof(f9515,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f1747,f355,f518,f276]) ).
fof(f9516,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f258,f1242]) ).
fof(f9517,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f258,f72]) ).
fof(f9518,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f258,f70]) ).
fof(f9519,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f258,f68]) ).
fof(f9523,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f519,f72]) ).
fof(f9524,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f519,f70]) ).
fof(f9525,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f519,f68]) ).
fof(f9529,plain,
( ~ sQ120_spl
| ~ sQ124_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f554,f3022]) ).
fof(f9530,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f554,f72]) ).
fof(f9531,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f554,f70]) ).
fof(f9532,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f554,f68]) ).
fof(f9533,plain,
! [X0] :
( ~ sQ124_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f554,f74]) ).
fof(f9534,plain,
! [X0] :
( ~ sQ124_spl
| ~ product(e_1,e_5,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f554,f40]) ).
fof(f9535,plain,
! [X0] :
( ~ sQ124_spl
| ~ product(X0,e_5,e_1)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f554,f38]) ).
fof(f9536,plain,
( ~ sQ120_spl
| ~ sQ124_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f9529,f159,f553,f541]) ).
fof(f9537,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f402,f72]) ).
fof(f9538,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f402,f70]) ).
fof(f9539,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f68]) ).
fof(f9633,plain,
( ~ sQ36_spl
| ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f1131,f2200]) ).
fof(f9634,plain,
( ~ sQ36_spl
| ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1131,f2201]) ).
fof(f9635,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1131,f72]) ).
fof(f9636,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1131,f70]) ).
fof(f9637,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1131,f68]) ).
fof(f9638,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1131,f74]) ).
fof(f9639,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| ~ product(e_3,e_3,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1131,f40]) ).
fof(f9640,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_3)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1131,f38]) ).
fof(f9641,plain,
( ~ sQ36_spl
| ~ sQ68_spl
| ~ sQ84_spl
| ~ sQ13_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f9633,f348,f136,f420,f364,f257]) ).
fof(f9642,plain,
( ~ sQ23_spl
| ~ sQ74_spl
| ~ sQ13_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1150,f335,f136,f383,f168]) ).
fof(f9643,plain,
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f6803,f159,f136,f383,f483]) ).
fof(f9644,plain,
( ~ sQ102_spl
| ~ sQ74_spl
| ~ sQ13_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f6804,f95,f136,f383,f483]) ).
fof(f9645,plain,
( ~ sQ120_spl
| ~ sQ95_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f4037,f544,f456,f541]) ).
fof(f9646,plain,
( ~ sQ89_spl
| ~ sQ2_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2120,f310,f101,f436]) ).
fof(f9718,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f9342,f72]) ).
fof(f9719,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f9342,f70]) ).
fof(f9720,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f9342,f68]) ).
fof(f9721,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f9342,f74]) ).
fof(f9722,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| ~ product(e_1,e_5,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f9342,f40]) ).
fof(f9723,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| ~ product(X0,e_5,e_1)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f9342,f38]) ).
fof(f9724,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f9343,f72]) ).
fof(f9725,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f9343,f70]) ).
fof(f9726,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f9343,f68]) ).
fof(f9727,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f9343,f74]) ).
fof(f9728,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| ~ product(e_1,e_5,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f9343,f40]) ).
fof(f9729,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ120_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f9343,f38]) ).
fof(f9730,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f9344,f72]) ).
fof(f9731,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f9344,f70]) ).
fof(f9732,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f9344,f68]) ).
fof(f9733,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f9344,f74]) ).
fof(f9734,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| ~ product(e_1,e_1,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f9344,f40]) ).
fof(f9735,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| ~ product(X0,e_1,e_1)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f9344,f38]) ).
fof(f9736,plain,
( ~ sQ78_spl
| ~ sQ46_spl
| ~ sQ48_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2354,f402]) ).
fof(f9737,plain,
( ~ sQ78_spl
| ~ sQ46_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9736,f65]) ).
fof(f9738,plain,
( ~ sQ78_spl
| ~ sQ46_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f9737]) ).
fof(f9759,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f9516,f72]) ).
fof(f9760,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f9516,f70]) ).
fof(f9761,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f9516,f68]) ).
fof(f9762,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f9516,f74]) ).
fof(f9763,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| ~ product(e_4,e_1,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f9516,f40]) ).
fof(f9764,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| ~ product(X0,e_1,e_4)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f9516,f38]) ).
fof(f9765,plain,
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f9345,f9342]) ).
fof(f9766,plain,
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f9345,f542]) ).
fof(f9767,plain,
( ~ sQ120_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9766,f49]) ).
fof(f9768,plain,
( ~ sQ120_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f9767]) ).
fof(f9829,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f9759,f9516]) ).
fof(f9830,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f9760,f9516]) ).
fof(f9831,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f9761,f9516]) ).
fof(f9832,plain,
( ~ sQ113_spl
| ~ sQ50_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f4680,f519]) ).
fof(f9833,plain,
( ~ sQ113_spl
| ~ sQ50_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f9832,f228,f307,f518]) ).
fof(f9864,plain,
( ~ sQ78_spl
| ~ sQ56_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f5305,f402]) ).
fof(f9865,plain,
( ~ sQ78_spl
| ~ sQ56_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f9864,f228,f326,f401]) ).
fof(f9866,plain,
( sQ80_spl
| ~ sQ113_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f410,f9516]) ).
fof(f9867,plain,
( sQ80_spl
| ~ sQ113_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f9866]) ).
fof(f9931,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f7142,f519]) ).
fof(f9932,plain,
( ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ42_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f9931,f1118]) ).
fof(f9933,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f9931,f1241]) ).
fof(f9934,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| ~ sQ42_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f9931,f1073]) ).
fof(f9935,plain,
( ~ sQ78_spl
| ~ sQ113_spl
| ~ sQ42_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f9931,f3880]) ).
fof(f9936,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f9931,f72]) ).
fof(f9937,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f9931,f70]) ).
fof(f9938,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f9931,f68]) ).
fof(f9942,plain,
( ~ sQ13_spl
| ~ sQ113_spl
| ~ sQ42_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f9932,f367,f276,f518,f136]) ).
fof(f9973,plain,
( ~ sQ13_spl
| ~ sQ109_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1107,f1119]) ).
fof(f9974,plain,
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1107,f1071]) ).
fof(f9975,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1107,f72]) ).
fof(f9976,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1107,f70]) ).
fof(f9977,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1107,f68]) ).
fof(f9978,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1107,f74]) ).
fof(f9979,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_3,e_1,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1107,f40]) ).
fof(f9980,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_1,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1107,f38]) ).
fof(f9981,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f9973,f72]) ).
fof(f9982,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ109_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f9973,f70]) ).
fof(f9983,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f9973,f68]) ).
fof(f9984,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ109_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f9973,f74]) ).
fof(f9985,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ109_spl
| ~ product(e_4,e_5,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f9973,f40]) ).
fof(f9986,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ109_spl
| ~ product(X0,e_5,e_4)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f9973,f38]) ).
fof(f9987,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f9974,f72]) ).
fof(f9988,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f9974,f70]) ).
fof(f9989,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f9974,f68]) ).
fof(f9990,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f9974,f74]) ).
fof(f9991,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_2,e_3,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f9974,f40]) ).
fof(f9992,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f9974,f38]) ).
fof(f9994,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1125,f1107]) ).
fof(f9998,plain,
( ~ sQ68_spl
| ~ sQ109_spl
| ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1189,f9974]) ).
fof(f9999,plain,
( ~ sQ78_spl
| ~ sQ6_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f2970,f402]) ).
fof(f10000,plain,
( ~ sQ78_spl
| ~ sQ6_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f9999,f250,f114,f401]) ).
fof(f10001,plain,
( ~ sQ61_spl
| ~ sQ82_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f6101,f329,f414,f342]) ).
fof(f10022,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2008,f72]) ).
fof(f10023,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2008,f70]) ).
fof(f10024,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2008,f68]) ).
fof(f10025,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2008,f74]) ).
fof(f10026,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2008,f40]) ).
fof(f10027,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2008,f38]) ).
fof(f10028,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2028,f72]) ).
fof(f10029,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2028,f70]) ).
fof(f10030,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2028,f68]) ).
fof(f10031,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2028,f74]) ).
fof(f10032,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2028,f40]) ).
fof(f10033,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_4,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2028,f38]) ).
fof(f10034,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2043,f72]) ).
fof(f10035,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f2043,f70]) ).
fof(f10036,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2043,f68]) ).
fof(f10037,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2043,f74]) ).
fof(f10038,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| ~ product(e_1,e_5,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2043,f40]) ).
fof(f10039,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| ~ product(X0,e_5,e_1)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2043,f38]) ).
fof(f10046,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f9302,f72]) ).
fof(f10047,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f9302,f70]) ).
fof(f10048,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f9302,f68]) ).
fof(f10052,plain,
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2029,f2008]) ).
fof(f10053,plain,
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2030,f2008]) ).
fof(f10054,plain,
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2031,f2008]) ).
fof(f10055,plain,
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2044,f2028]) ).
fof(f10056,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f277,f72]) ).
fof(f10057,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f277,f70]) ).
fof(f10058,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f277,f68]) ).
fof(f10062,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f333,f1332]) ).
fof(f10063,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f333,f72]) ).
fof(f10064,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f333,f70]) ).
fof(f10065,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f333,f68]) ).
fof(f10069,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f10062,f279,f332,f276]) ).
fof(f10070,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f1481,f364,f263,f276]) ).
fof(f10071,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f487,f72]) ).
fof(f10072,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f487,f70]) ).
fof(f10073,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f487,f68]) ).
fof(f10142,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| ~ product(X0,e_2,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f9300,f38]) ).
fof(f10149,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f7743,f1333]) ).
fof(f10153,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f7743,f74]) ).
fof(f10154,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f7743,f40]) ).
fof(f10155,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f7743,f38]) ).
fof(f10156,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f10149,f401,f483,f424,f276]) ).
fof(f10217,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1355,f1332]) ).
fof(f10218,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1355,f72]) ).
fof(f10219,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1355,f70]) ).
fof(f10220,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1355,f68]) ).
fof(f10221,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1355,f74]) ).
fof(f10222,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1355,f40]) ).
fof(f10223,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ12_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1355,f38]) ).
fof(f10224,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ45_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3637,f72]) ).
fof(f10225,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3637,f70]) ).
fof(f10226,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ45_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f3637,f68]) ).
fof(f10227,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ45_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f3637,f74]) ).
fof(f10228,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ45_spl
| ~ product(e_3,e_4,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3637,f40]) ).
fof(f10229,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ45_spl
| ~ product(X0,e_4,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3637,f38]) ).
fof(f10230,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f9933,f1334]) ).
fof(f10234,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f9933,f74]) ).
fof(f10235,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f9933,f40]) ).
fof(f10236,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f9933,f38]) ).
fof(f10237,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f10217,f1334]) ).
fof(f10238,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f10217,f72]) ).
fof(f10239,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f10217,f70]) ).
fof(f10240,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f10217,f68]) ).
fof(f10241,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f10217,f74]) ).
fof(f10242,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| ~ product(e_2,e_4,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f10217,f40]) ).
fof(f10243,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| ~ product(X0,e_4,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f10217,f38]) ).
fof(f10244,plain,
( ~ sQ53_spl
| ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f10237,f3887]) ).
fof(f10245,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f10237,f72]) ).
fof(f10246,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f10237,f70]) ).
fof(f10247,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f10237,f68]) ).
fof(f10248,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f10237,f74]) ).
fof(f10249,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f10237,f40]) ).
fof(f10250,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f10237,f38]) ).
fof(f10252,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f10244,f72]) ).
fof(f10253,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f10244,f70]) ).
fof(f10254,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f10244,f68]) ).
fof(f10255,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f10244,f74]) ).
fof(f10256,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| ~ product(e_5,e_3,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f10244,f40]) ).
fof(f10257,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| ~ product(X0,e_3,e_5)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f10244,f38]) ).
fof(f10258,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| ~ sQ38_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2657,f10237]) ).
fof(f10259,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10258,f56]) ).
fof(f10260,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f10259]) ).
fof(f10271,plain,
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f9934,f1332]) ).
fof(f10272,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f9934,f72]) ).
fof(f10273,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f9934,f70]) ).
fof(f10274,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f9934,f68]) ).
fof(f10275,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| ~ sQ42_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f9934,f74]) ).
fof(f10276,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f9934,f40]) ).
fof(f10277,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f9934,f38]) ).
fof(f10278,plain,
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f10271,f1334]) ).
fof(f10279,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f10271,f72]) ).
fof(f10280,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f10271,f70]) ).
fof(f10281,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f10271,f68]) ).
fof(f10282,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f10271,f74]) ).
fof(f10283,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| ~ product(e_2,e_4,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f10271,f40]) ).
fof(f10284,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| ~ product(X0,e_4,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f10271,f38]) ).
fof(f10285,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f10278,f2657]) ).
fof(f10286,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f10278,f72]) ).
fof(f10287,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f10278,f70]) ).
fof(f10288,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f10278,f68]) ).
fof(f10289,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f10278,f74]) ).
fof(f10290,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f10278,f40]) ).
fof(f10291,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f10278,f38]) ).
fof(f10292,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10285,f56]) ).
fof(f10293,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f10292]) ).
fof(f10294,plain,
( sQ113_spl
| ~ sQ110_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f3637]) ).
fof(f10295,plain,
( sQ113_spl
| ~ sQ110_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f10294]) ).
fof(f10346,plain,
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f6818,f1332]) ).
fof(f10347,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f6818,f72]) ).
fof(f10348,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f6818,f70]) ).
fof(f10349,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f6818,f68]) ).
fof(f10350,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f6818,f74]) ).
fof(f10351,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f6818,f40]) ).
fof(f10352,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ57_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f6818,f38]) ).
fof(f10353,plain,
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f10346,f1334]) ).
fof(f10354,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f10346,f72]) ).
fof(f10355,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f10346,f70]) ).
fof(f10356,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f10346,f68]) ).
fof(f10357,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f10346,f74]) ).
fof(f10358,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| ~ product(e_2,e_4,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f10346,f40]) ).
fof(f10359,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| ~ product(X0,e_4,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f10346,f38]) ).
fof(f10360,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f10353,f2657]) ).
fof(f10361,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f10353,f72]) ).
fof(f10362,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f10353,f70]) ).
fof(f10363,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f10353,f68]) ).
fof(f10364,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f10353,f74]) ).
fof(f10365,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f10353,f40]) ).
fof(f10366,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f10353,f38]) ).
fof(f10367,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10360,f56]) ).
fof(f10368,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f10367]) ).
fof(f10369,plain,
( ~ sQ53_spl
| ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f10244,f228,f133,f335,f276,f316]) ).
fof(f10370,plain,
( ~ sQ59_spl
| ~ sQ12_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f1355,f329,f133,f335]) ).
fof(f10371,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f10217,f364,f133,f335,f276]) ).
fof(f10372,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ12_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f10237,f263,f133,f335,f276]) ).
fof(f10373,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f9300,f289,f468,f152]) ).
fof(f10470,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f10046,f9302]) ).
fof(f10471,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f10047,f9302]) ).
fof(f10472,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f10048,f9302]) ).
fof(f10473,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| product(e_1,e_5,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f7169,f1315]) ).
fof(f10474,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| product(e_1,e_5,e_5)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f10473,f45]) ).
fof(f10475,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| product(e_1,e_5,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f10473,f44]) ).
fof(f10476,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| product(e_1,e_5,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f10473,f43]) ).
fof(f10477,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| product(e_1,e_5,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f10473,f42]) ).
fof(f10478,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f10473,f41]) ).
fof(f10479,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| sQ0_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f10474,f477,f95,f547,f550,f544]) ).
fof(f10480,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| sQ5_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f10475,f493,f111,f547,f550,f544]) ).
fof(f10481,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| sQ10_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f10476,f509,f127,f547,f550,f544]) ).
fof(f10482,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| sQ15_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f10477,f525,f143,f547,f550,f544]) ).
fof(f10483,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| ~ sQ122_spl
| sQ20_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f10478,f541,f159,f547,f550,f544]) ).
fof(f10484,plain,
( ~ sQ120_spl
| ~ sQ115_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f3040,f542]) ).
fof(f10485,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f10484,f72]) ).
fof(f10486,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f10484,f70]) ).
fof(f10487,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f10484,f68]) ).
fof(f10489,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ115_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f10484,f40]) ).
fof(f10490,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ115_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f10484,f38]) ).
fof(f10491,plain,
( ~ sQ120_spl
| ~ sQ115_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f10485,f10484]) ).
fof(f10492,plain,
( ~ sQ120_spl
| ~ sQ115_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f10486,f10484]) ).
fof(f10493,plain,
( ~ sQ120_spl
| ~ sQ115_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f10487,f10484]) ).
fof(f10494,plain,
( ~ sQ120_spl
| ~ sQ115_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f10487,f542]) ).
fof(f10495,plain,
( ~ sQ120_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10494,f46]) ).
fof(f10496,plain,
( ~ sQ120_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f10495]) ).
fof(f10527,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f8984,f277]) ).
fof(f10528,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ42_spl
| ~ sQ18_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f10527,f2589]) ).
fof(f10529,plain,
( ~ sQ52_spl
| ~ sQ42_spl
| ~ sQ18_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f10527,f3918]) ).
fof(f10530,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| ~ sQ18_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f10527,f1707]) ).
fof(f10531,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f10527,f1332]) ).
fof(f10532,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f10527,f72]) ).
fof(f10533,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f10527,f70]) ).
fof(f10534,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f10527,f68]) ).
fof(f10535,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f10527,f74]) ).
fof(f10536,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ product(e_4,e_5,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f10527,f40]) ).
fof(f10537,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ product(X0,e_5,e_4)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f10527,f38]) ).
fof(f10538,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ42_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10528,f59]) ).
fof(f10539,plain,
( ~ sQ21_spl
| ~ sQ97_spl
| ~ sQ42_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f10538]) ).
fof(f10540,plain,
( ~ sQ52_spl
| ~ sQ42_spl
| ~ sQ18_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f10529,f117,f152,f276,f313]) ).
fof(f10541,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10530,f64]) ).
fof(f10542,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f10541]) ).
fof(f10543,plain,
( ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f2087,f3919]) ).
fof(f10544,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2087,f72]) ).
fof(f10545,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f2087,f70]) ).
fof(f10546,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2087,f68]) ).
fof(f10547,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2087,f74]) ).
fof(f10548,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| ~ product(e_5,e_1,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2087,f40]) ).
fof(f10549,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| ~ product(X0,e_1,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2087,f38]) ).
fof(f10550,plain,
( ~ sQ4_spl
| ~ sQ25_spl
| ~ sQ3_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f5592,f681]) ).
fof(f10551,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f5592,f72]) ).
fof(f10552,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f5592,f70]) ).
fof(f10553,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f5592,f68]) ).
fof(f10554,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5592,f74]) ).
fof(f10555,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| ~ product(e_5,e_4,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f5592,f40]) ).
fof(f10556,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ3_spl
| ~ product(X0,e_4,e_5)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f5592,f38]) ).
fof(f10557,plain,
( ~ sQ50_spl
| ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f10543,f4680]) ).
fof(f10558,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f10543,f72]) ).
fof(f10559,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f10543,f70]) ).
fof(f10560,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f10543,f68]) ).
fof(f10561,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f10543,f74]) ).
fof(f10562,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f10543,f40]) ).
fof(f10563,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| ~ product(X0,e_3,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f10543,f38]) ).
fof(f10564,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f10550,f72]) ).
fof(f10565,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f10550,f70]) ).
fof(f10566,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ25_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f10550,f68]) ).
fof(f10567,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ25_spl
| ~ sQ3_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f10550,f74]) ).
fof(f10568,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ25_spl
| ~ sQ3_spl
| ~ product(e_5,e_5,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f10550,f40]) ).
fof(f10569,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ25_spl
| ~ sQ3_spl
| ~ product(X0,e_5,e_5)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f10550,f38]) ).
fof(f10572,plain,
( ~ sQ52_spl
| ~ sQ50_spl
| ~ sQ109_spl
| ~ sQ7_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f10557,f3919]) ).
fof(f10573,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f10557,f72]) ).
fof(f10574,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f10557,f70]) ).
fof(f10575,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f10557,f68]) ).
fof(f10576,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f10557,f74]) ).
fof(f10577,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| ~ product(e_5,e_3,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f10557,f40]) ).
fof(f10578,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ52_spl
| ~ sQ109_spl
| ~ sQ7_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f10557,f38]) ).
fof(f10581,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f115,f72]) ).
fof(f10582,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f115,f70]) ).
fof(f10583,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f115,f68]) ).
fof(f10597,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f112,f72]) ).
fof(f10598,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f112,f70]) ).
fof(f10599,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f112,f68]) ).
fof(f10603,plain,
( ~ sQ112_spl
| ~ sQ52_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f314,f2084]) ).
fof(f10604,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| ~ sQ52_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f314,f1803]) ).
fof(f10605,plain,
( ~ sQ119_spl
| ~ sQ17_spl
| ~ sQ52_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f314,f1431]) ).
fof(f10606,plain,
( ~ sQ52_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f314,f3919]) ).
fof(f10607,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f314,f72]) ).
fof(f10608,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f314,f70]) ).
fof(f10609,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f314,f68]) ).
fof(f10610,plain,
! [X0] :
( ~ sQ52_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f314,f74]) ).
fof(f10611,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(e_5,e_3,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f314,f40]) ).
fof(f10612,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f314,f38]) ).
fof(f10613,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10604,f65]) ).
fof(f10614,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f10613]) ).
fof(f10615,plain,
( ~ sQ50_spl
| ~ sQ112_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f516,f4680]) ).
fof(f10616,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f516,f72]) ).
fof(f10617,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f516,f70]) ).
fof(f10618,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f68]) ).
fof(f10619,plain,
! [X0] :
( ~ sQ112_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f516,f74]) ).
fof(f10622,plain,
( ~ sQ50_spl
| ~ sQ112_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f10615,f313,f515,f307]) ).
fof(f10666,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2087,f74]) ).
fof(f10667,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| ~ product(e_5,e_1,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2087,f40]) ).
fof(f10668,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ7_spl
| ~ product(X0,e_1,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2087,f38]) ).
fof(f10670,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f10545,f2087]) ).
fof(f10672,plain,
( ~ sQ120_spl
| ~ sQ70_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f3008,f542]) ).
fof(f10673,plain,
( ~ sQ120_spl
| ~ sQ70_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f10672,f3022]) ).
fof(f10674,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f10672,f72]) ).
fof(f10675,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f10672,f70]) ).
fof(f10676,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f10672,f68]) ).
fof(f10677,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f10672,f74]) ).
fof(f10678,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| ~ product(e_1,e_3,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f10672,f40]) ).
fof(f10679,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| ~ product(X0,e_3,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f10672,f38]) ).
fof(f10680,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| ~ sQ120_spl
| ~ sQ70_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f10673,f10546]) ).
fof(f10681,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f10673,f72]) ).
fof(f10682,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f10673,f70]) ).
fof(f10683,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f10673,f68]) ).
fof(f10684,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f10673,f74]) ).
fof(f10685,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| ~ product(e_1,e_1,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f10673,f40]) ).
fof(f10686,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| ~ product(X0,e_1,e_1)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f10673,f38]) ).
fof(f10687,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| ~ sQ120_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10680,f49]) ).
fof(f10688,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| ~ sQ120_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f10687]) ).
fof(f10689,plain,
( ~ sQ33_spl
| ~ sQ38_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1222,f248]) ).
fof(f10690,plain,
( ~ sQ38_spl
| ~ sQ33_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f10689,f2657]) ).
fof(f10691,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f10689,f72]) ).
fof(f10692,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f10689,f70]) ).
fof(f10693,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f10689,f68]) ).
fof(f10694,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ38_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f10689,f74]) ).
fof(f10695,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ38_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f10689,f40]) ).
fof(f10696,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ38_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f10689,f38]) ).
fof(f10697,plain,
( ~ sQ38_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10690,f56]) ).
fof(f10698,plain,
( ~ sQ38_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f10697]) ).
fof(f10699,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f10527,f335,f152,f276]) ).
fof(f10700,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ31_spl
| product(e_4,e_4,X0)
| product(e_4,e_3,X0)
| product(e_4,e_1,X0)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f744,f2977]) ).
fof(f10701,plain,
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ113_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f10278,f263,f518,f364,f276]) ).
fof(f10702,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f951,f319,f380,f266,f171]) ).
fof(f10703,plain,
( ~ sQ109_spl
| ~ sQ39_spl
| ~ sQ73_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f948,f323,f380,f266,f505]) ).
fof(f10704,plain,
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f2222,f489,f117,f505,f165]) ).
fof(f10705,plain,
( ~ sQ22_spl
| ~ sQ109_spl
| ~ sQ7_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2223,f553,f117,f505,f165]) ).
fof(f10706,plain,
( ~ sQ112_spl
| ~ sQ52_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f10603,f307,f313,f515]) ).
fof(f10787,plain,
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f9516,f2972]) ).
fof(f10788,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f9516,f72]) ).
fof(f10789,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f9516,f70]) ).
fof(f10790,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f9516,f68]) ).
fof(f10791,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f9516,f74]) ).
fof(f10792,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| ~ product(e_4,e_1,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f9516,f40]) ).
fof(f10793,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| ~ product(X0,e_1,e_4)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f9516,f38]) ).
fof(f10798,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f9933,f74]) ).
fof(f10799,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f9933,f40]) ).
fof(f10800,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ product(X0,e_1,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f9933,f38]) ).
fof(f10801,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f10230,f72]) ).
fof(f10802,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f10230,f70]) ).
fof(f10803,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f10230,f68]) ).
fof(f10807,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f10531,f72]) ).
fof(f10808,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f10531,f70]) ).
fof(f10809,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f10531,f68]) ).
fof(f10813,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f10787,f72]) ).
fof(f10814,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f10787,f70]) ).
fof(f10815,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f10787,f68]) ).
fof(f10816,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f10787,f74]) ).
fof(f10817,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| ~ product(e_2,e_5,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f10787,f40]) ).
fof(f10818,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| ~ product(X0,e_5,e_2)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f10787,f38]) ).
fof(f10819,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f9759,f9516]) ).
fof(f10820,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f9760,f9516]) ).
fof(f10826,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f9937,f277]) ).
fof(f10828,plain,
( ~ sQ6_spl
| ~ sQ39_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f735,f115]) ).
fof(f10829,plain,
( ~ sQ6_spl
| ~ sQ39_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f10828,f433,f266,f114]) ).
fof(f10850,plain,
( ~ sQ4_spl
| ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f8546,f108]) ).
fof(f10851,plain,
( ~ sQ4_spl
| ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10850,f64]) ).
fof(f10852,plain,
( ~ sQ4_spl
| ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f10851]) ).
fof(f10863,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f10606,f72]) ).
fof(f10864,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f10606,f70]) ).
fof(f10865,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f10606,f68]) ).
fof(f10866,plain,
! [X0] :
( ~ sQ52_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f10606,f74]) ).
fof(f10868,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f10606,f38]) ).
fof(f10872,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f10807,f10531]) ).
fof(f10873,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f10808,f10531]) ).
fof(f10874,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f10809,f10531]) ).
fof(f10875,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f10863,f10606]) ).
fof(f10876,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f10864,f10606]) ).
fof(f10877,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f10865,f10606]) ).
fof(f10879,plain,
( ~ sQ42_spl
| ~ sQ83_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f7325,f277]) ).
fof(f10880,plain,
( ~ sQ42_spl
| ~ sQ83_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f10879,f326,f417,f276]) ).
fof(f10881,plain,
( ~ sQ78_spl
| ~ sQ113_spl
| ~ sQ42_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f9935,f310,f276,f518,f401]) ).
fof(f10945,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f9516,f74]) ).
fof(f10946,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| ~ product(e_4,e_1,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f9516,f40]) ).
fof(f10947,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| ~ product(X0,e_1,e_4)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f9516,f38]) ).
fof(f10948,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f10788,f9516]) ).
fof(f10949,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f10789,f9516]) ).
fof(f10950,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f10790,f9516]) ).
fof(f10952,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| ~ sQ121_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f2153,f9516]) ).
fof(f10953,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| ~ sQ121_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f10952,f493,f544,f257,f518]) ).
fof(f10994,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ5_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f3810,f10230]) ).
fof(f10995,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ5_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f10994,f266,f111,f518,f276]) ).
fof(f11006,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2008,f72]) ).
fof(f11007,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2008,f70]) ).
fof(f11008,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2008,f68]) ).
fof(f11009,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2008,f74]) ).
fof(f11010,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2008,f40]) ).
fof(f11011,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2008,f38]) ).
fof(f11012,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2028,f72]) ).
fof(f11013,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2028,f70]) ).
fof(f11014,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2028,f68]) ).
fof(f11015,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2028,f74]) ).
fof(f11016,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2028,f40]) ).
fof(f11017,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_4,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2028,f38]) ).
fof(f11018,plain,
( ~ sQ113_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f2043,f1240]) ).
fof(f11019,plain,
( ~ sQ123_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f2043,f1024]) ).
fof(f11020,plain,
( ~ sQ123_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f2043,f1026]) ).
fof(f11021,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2043,f72]) ).
fof(f11022,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f2043,f70]) ).
fof(f11023,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2043,f68]) ).
fof(f11024,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2043,f74]) ).
fof(f11025,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| ~ product(e_1,e_5,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2043,f40]) ).
fof(f11026,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| ~ product(X0,e_5,e_1)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2043,f38]) ).
fof(f11027,plain,
( ~ sQ123_spl
| ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ72_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f11019,f159,f377,f298,f165,f550]) ).
fof(f11031,plain,
! [X0] :
( ~ sQ52_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f10606,f74]) ).
fof(f11033,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f10606,f38]) ).
fof(f11040,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f10863,f10606]) ).
fof(f11041,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f10864,f10606]) ).
fof(f11042,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f10865,f10606]) ).
fof(f11043,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f10046,f9302]) ).
fof(f11044,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f10047,f9302]) ).
fof(f11045,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f10048,f9302]) ).
fof(f11047,plain,
( ~ sQ5_spl
| ~ sQ123_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f551,f3810]) ).
fof(f11048,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ123_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f551,f10803]) ).
fof(f11049,plain,
( ~ sQ120_spl
| ~ sQ123_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f551,f3022]) ).
fof(f11050,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f551,f72]) ).
fof(f11051,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f551,f70]) ).
fof(f11052,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f551,f68]) ).
fof(f11053,plain,
! [X0] :
( ~ sQ123_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f551,f74]) ).
fof(f11054,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(e_1,e_4,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f551,f40]) ).
fof(f11055,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(X0,e_4,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f551,f38]) ).
fof(f11056,plain,
( ~ sQ5_spl
| ~ sQ123_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f11047,f298,f550,f111]) ).
fof(f11057,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11048,f47]) ).
fof(f11058,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f11057]) ).
fof(f11059,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f112,f825]) ).
fof(f11060,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f112,f72]) ).
fof(f11061,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f112,f70]) ).
fof(f11062,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f112,f68]) ).
fof(f11073,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ59_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f336,f10534]) ).
fof(f11074,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ59_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f336,f10533]) ).
fof(f11076,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f336,f1332]) ).
fof(f11077,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f336,f72]) ).
fof(f11078,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f336,f70]) ).
fof(f11079,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f336,f68]) ).
fof(f11154,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f11059,f72]) ).
fof(f11155,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f11059,f70]) ).
fof(f11156,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f11059,f68]) ).
fof(f11157,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f11059,f74]) ).
fof(f11158,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| ~ product(e_5,e_3,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f11059,f40]) ).
fof(f11159,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| ~ product(X0,e_3,e_5)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f11059,f38]) ).
fof(f11161,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f11154,f11059]) ).
fof(f11162,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11155,f11059]) ).
fof(f11163,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f11156,f11059]) ).
fof(f11164,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f8984,f277]) ).
fof(f11165,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f905,f10531]) ).
fof(f11167,plain,
( ~ sQ106_spl
| ~ sQ78_spl
| ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f11165,f3991]) ).
fof(f11168,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f11165,f214]) ).
fof(f11169,plain,
( ~ sQ106_spl
| ~ sQ78_spl
| ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11165,f3990]) ).
fof(f11170,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f11165,f72]) ).
fof(f11171,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f11165,f70]) ).
fof(f11172,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f11165,f68]) ).
fof(f11173,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f11165,f74]) ).
fof(f11174,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f11165,f40]) ).
fof(f11175,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f11165,f38]) ).
fof(f11176,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f11168,f6083]) ).
fof(f11177,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f11168,f72]) ).
fof(f11178,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f11168,f70]) ).
fof(f11179,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f11168,f68]) ).
fof(f11183,plain,
( ~ sQ39_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11176,f954]) ).
fof(f11185,plain,
( ~ sQ119_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f11176,f903]) ).
fof(f11186,plain,
( ~ sQ39_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f11176,f952]) ).
fof(f11187,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f11176,f72]) ).
fof(f11188,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f11176,f70]) ).
fof(f11189,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f11176,f68]) ).
fof(f11190,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f11176,f74]) ).
fof(f11191,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f11176,f40]) ).
fof(f11192,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f11176,f38]) ).
fof(f11194,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11178,f11168]) ).
fof(f11195,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f11179,f11168]) ).
fof(f11196,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1344,f9933]) ).
fof(f11198,plain,
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f11196,f6082]) ).
fof(f11199,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ113_spl
| ~ sQ92_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f11196,f11177]) ).
fof(f11200,plain,
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f11196,f6083]) ).
fof(f11201,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f11196,f72]) ).
fof(f11202,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f11196,f70]) ).
fof(f11203,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f11196,f68]) ).
fof(f11204,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f11196,f74]) ).
fof(f11205,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| ~ product(e_2,e_2,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f11196,f40]) ).
fof(f11206,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| ~ product(X0,e_2,e_2)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f11196,f38]) ).
fof(f11209,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f735,f112]) ).
fof(f11210,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f736,f11176]) ).
fof(f11211,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f11210,f72]) ).
fof(f11212,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f11210,f70]) ).
fof(f11213,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f11210,f68]) ).
fof(f11214,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f11210,f74]) ).
fof(f11215,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ product(e_1,e_4,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f11210,f40]) ).
fof(f11216,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ product(X0,e_4,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f11210,f38]) ).
fof(f11217,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f11211,f11210]) ).
fof(f11218,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f11212,f11210]) ).
fof(f11219,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11213,f11210]) ).
fof(f11220,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f3046,f11059]) ).
fof(f11221,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f3047,f11059]) ).
fof(f11222,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f3048,f10230]) ).
fof(f11223,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f3889,f11165]) ).
fof(f11224,plain,
( ~ sQ62_spl
| ~ sQ112_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f2084,f346]) ).
fof(f11225,plain,
( ~ sQ62_spl
| ~ sQ112_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f11224,f339,f515,f345]) ).
fof(f11236,plain,
( ~ sQ62_spl
| ~ sQ112_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f2085,f346]) ).
fof(f11237,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f11220,f10534]) ).
fof(f11238,plain,
( ~ sQ112_spl
| ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f11220,f2085]) ).
fof(f11239,plain,
( ~ sQ62_spl
| ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f11220,f1374]) ).
fof(f11240,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f11220,f72]) ).
fof(f11241,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f11220,f70]) ).
fof(f11242,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f11220,f68]) ).
fof(f11243,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f11220,f74]) ).
fof(f11244,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ product(e_3,e_5,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f11220,f40]) ).
fof(f11245,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ product(X0,e_5,e_3)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f11220,f38]) ).
fof(f11246,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11237,f56]) ).
fof(f11247,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f11246]) ).
fof(f11248,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f11222,f10047]) ).
fof(f11249,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f11222,f9304]) ).
fof(f11250,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f11222,f1240]) ).
fof(f11251,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f11222,f72]) ).
fof(f11252,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f11222,f70]) ).
fof(f11253,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f11222,f68]) ).
fof(f11254,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f11222,f74]) ).
fof(f11255,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| ~ product(e_1,e_5,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f11222,f40]) ).
fof(f11256,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| ~ product(X0,e_5,e_1)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f11222,f38]) ).
fof(f11257,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11248,f59]) ).
fof(f11258,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f11257]) ).
fof(f11259,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f11059,f483,f111,f335]) ).
fof(f11260,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ62_spl
| ~ sQ112_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f11236,f1774]) ).
fof(f11261,plain,
( ~ sQ112_spl
| ~ sQ62_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f11236,f2085]) ).
fof(f11262,plain,
( ~ sQ62_spl
| ~ sQ112_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f11236,f1374]) ).
fof(f11263,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ112_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f11236,f72]) ).
fof(f11264,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f11236,f70]) ).
fof(f11265,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f11236,f68]) ).
fof(f11266,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ112_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f11236,f74]) ).
fof(f11267,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ112_spl
| ~ product(e_3,e_1,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f11236,f40]) ).
fof(f11268,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ112_spl
| ~ product(X0,e_1,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f11236,f38]) ).
fof(f11269,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ62_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11260,f55]) ).
fof(f11270,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ62_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f11269]) ).
fof(f11281,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f7743,f1333]) ).
fof(f11285,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f7743,f74]) ).
fof(f11286,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f7743,f40]) ).
fof(f11287,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f7743,f38]) ).
fof(f11288,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f11281,f2572]) ).
fof(f11289,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f11281,f2571]) ).
fof(f11290,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f11281,f2570]) ).
fof(f11291,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f11281,f72]) ).
fof(f11292,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f11281,f70]) ).
fof(f11293,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f11281,f68]) ).
fof(f11294,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f11281,f74]) ).
fof(f11295,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ product(e_5,e_4,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f11281,f40]) ).
fof(f11296,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ product(X0,e_4,e_5)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f11281,f38]) ).
fof(f11297,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f8296,f7743]) ).
fof(f11298,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f8297,f7743]) ).
fof(f11299,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f8213,f7743]) ).
fof(f11300,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ112_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f2083,f11210]) ).
fof(f11301,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ112_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f11300,f254,f515,f266,f537,f276,f152,f355]) ).
fof(f11312,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f11223,f11156]) ).
fof(f11313,plain,
( ~ sQ65_spl
| ~ sQ82_spl
| ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f11223,f6478]) ).
fof(f11314,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f11223,f72]) ).
fof(f11315,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f11223,f70]) ).
fof(f11316,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f11223,f68]) ).
fof(f11317,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f11223,f74]) ).
fof(f11318,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| ~ product(e_4,e_3,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f11223,f40]) ).
fof(f11319,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| ~ product(X0,e_3,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f11223,f38]) ).
fof(f11320,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11312,f61]) ).
fof(f11321,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f11320]) ).
fof(f11382,plain,
( ~ sQ120_spl
| ~ sQ70_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f10672,f3022]) ).
fof(f11383,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f10672,f72]) ).
fof(f11384,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f10672,f70]) ).
fof(f11385,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f10672,f68]) ).
fof(f11386,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f10672,f74]) ).
fof(f11387,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| ~ product(e_1,e_3,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f10672,f40]) ).
fof(f11388,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| ~ product(X0,e_3,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f10672,f38]) ).
fof(f11389,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ120_spl
| ~ sQ70_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f10673,f1774]) ).
fof(f11390,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f10673,f72]) ).
fof(f11391,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f10673,f70]) ).
fof(f11392,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f10673,f68]) ).
fof(f11393,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f10673,f74]) ).
fof(f11394,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| ~ product(e_1,e_1,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f10673,f40]) ).
fof(f11395,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ70_spl
| ~ product(X0,e_1,e_1)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f10673,f38]) ).
fof(f11396,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ120_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11389,f46]) ).
fof(f11397,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ120_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f11396]) ).
fof(f11398,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f10606,f72]) ).
fof(f11399,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f10606,f70]) ).
fof(f11400,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f10606,f68]) ).
fof(f11401,plain,
! [X0] :
( ~ sQ52_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f10606,f74]) ).
fof(f11403,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f10606,f38]) ).
fof(f11404,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2008,f72]) ).
fof(f11405,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2008,f70]) ).
fof(f11406,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2008,f68]) ).
fof(f11407,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2008,f74]) ).
fof(f11408,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2008,f40]) ).
fof(f11409,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2008,f38]) ).
fof(f11410,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f10863,f10606]) ).
fof(f11411,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f10864,f10606]) ).
fof(f11412,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f10865,f10606]) ).
fof(f11413,plain,
( ~ sQ59_spl
| ~ sQ72_spl
| ~ sQ22_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2011,f336]) ).
fof(f11414,plain,
( ~ sQ59_spl
| ~ sQ72_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11413,f60]) ).
fof(f11415,plain,
( ~ sQ59_spl
| ~ sQ72_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f11414]) ).
fof(f11436,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f5300,f10230]) ).
fof(f11437,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f11436,f8983]) ).
fof(f11441,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f11436,f1240]) ).
fof(f11442,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f11436,f72]) ).
fof(f11443,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f11436,f70]) ).
fof(f11444,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f11436,f68]) ).
fof(f11445,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f11436,f74]) ).
fof(f11446,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ product(e_1,e_2,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f11436,f40]) ).
fof(f11447,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ product(X0,e_2,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f11436,f38]) ).
fof(f11448,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f11441,f72]) ).
fof(f11449,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f11441,f70]) ).
fof(f11450,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f11441,f68]) ).
fof(f11457,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ99_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f830,f10531]) ).
fof(f11459,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f9309,f9302]) ).
fof(f11460,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| ~ sQ101_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f3929,f9302]) ).
fof(f11461,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| ~ sQ101_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f3930,f9302]) ).
fof(f11462,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| ~ sQ101_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f11461,f159,f480,f468,f152]) ).
fof(f11463,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f2107,f336]) ).
fof(f11464,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f11463,f133,f329,f335]) ).
fof(f11465,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f11437,f72]) ).
fof(f11466,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f11437,f70]) ).
fof(f11467,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f11437,f68]) ).
fof(f11468,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f11437,f74]) ).
fof(f11469,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ product(e_1,e_5,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f11437,f40]) ).
fof(f11470,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ product(X0,e_5,e_1)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f11437,f38]) ).
fof(f11474,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ22_spl
| ~ sQ71_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2267,f11437]) ).
fof(f11475,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ22_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11474,f47]) ).
fof(f11476,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ22_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f11475]) ).
fof(f11481,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f7743,f74]) ).
fof(f11482,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f7743,f40]) ).
fof(f11483,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f7743,f38]) ).
fof(f11484,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f11281,f72]) ).
fof(f11485,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f11281,f70]) ).
fof(f11486,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f11281,f68]) ).
fof(f11487,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f11281,f74]) ).
fof(f11488,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ product(e_5,e_4,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f11281,f40]) ).
fof(f11489,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ product(X0,e_4,e_5)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f11281,f38]) ).
fof(f11493,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ sQ39_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2571,f11281]) ).
fof(f11494,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ sQ39_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2572,f11281]) ).
fof(f11495,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ sQ39_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2570,f11281]) ).
fof(f11503,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f96,f681]) ).
fof(f11504,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f96,f72]) ).
fof(f11505,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f96,f70]) ).
fof(f11506,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f96,f68]) ).
fof(f11517,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| ~ sQ53_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f317,f2571]) ).
fof(f11518,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f317,f72]) ).
fof(f11519,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f317,f70]) ).
fof(f11520,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f317,f68]) ).
fof(f11524,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11517,f55]) ).
fof(f11525,plain,
( ~ sQ11_spl
| ~ sQ39_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f11524]) ).
fof(f11526,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ10_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f11222,f298,f127,f518,f276]) ).
fof(f11527,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1320,f313,f149,f367]) ).
fof(f11528,plain,
( ~ sQ18_spl
| ~ sQ44_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f717,f123,f282,f152]) ).
fof(f11609,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f11503,f72]) ).
fof(f11610,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f11503,f70]) ).
fof(f11611,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f11503,f68]) ).
fof(f11612,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f11503,f74]) ).
fof(f11613,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| ~ product(e_5,e_5,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f11503,f40]) ).
fof(f11614,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| ~ product(X0,e_5,e_5)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f11503,f38]) ).
fof(f11615,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ3_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1557,f277]) ).
fof(f11616,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11615,f53]) ).
fof(f11617,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f11616]) ).
fof(f11618,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f11437,f468,f424,f518,f276,f152]) ).
fof(f11619,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ113_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11199,f53]) ).
fof(f11620,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ113_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f11619]) ).
fof(f11681,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f11436,f8983]) ).
fof(f11687,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ product(e_1,e_2,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f11436,f40]) ).
fof(f11695,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f11503,f72]) ).
fof(f11696,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f11503,f70]) ).
fof(f11697,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f11503,f68]) ).
fof(f11698,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f11503,f74]) ).
fof(f11699,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| ~ product(e_5,e_5,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f11503,f40]) ).
fof(f11700,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ0_spl
| ~ product(X0,e_5,e_5)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f11503,f38]) ).
fof(f11701,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f9302,f72]) ).
fof(f11702,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f9302,f70]) ).
fof(f11703,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f9302,f68]) ).
fof(f11716,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f11609,f11503]) ).
fof(f11717,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11610,f11503]) ).
fof(f11718,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f11610,f108]) ).
fof(f11719,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11718,f62]) ).
fof(f11720,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f11719]) ).
fof(f11721,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f2087,f307,f117,f505]) ).
fof(f11722,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f11176,f165,f537,f276,f152,f355]) ).
fof(f11733,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ80_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f3829,f10230]) ).
fof(f11734,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ80_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f11733,f257,f408,f518,f276]) ).
fof(f11735,plain,
( ~ sQ62_spl
| ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f11398,f346]) ).
fof(f11736,plain,
( ~ sQ62_spl
| ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f11399,f346]) ).
fof(f11737,plain,
( ~ sQ62_spl
| ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f11400,f346]) ).
fof(f11738,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| ~ sQ116_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f2186,f9302]) ).
fof(f11739,plain,
( ~ sQ18_spl
| ~ sQ99_spl
| ~ sQ116_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f11738,f143,f528,f468,f152]) ).
fof(f11800,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ97_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1309,f9933]) ).
fof(f11801,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ97_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f11800,f528,f462,f276,f518]) ).
fof(f11822,plain,
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f11250,f823]) ).
fof(f11823,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f11250,f72]) ).
fof(f11824,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f11250,f70]) ).
fof(f11825,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f11250,f68]) ).
fof(f11826,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f11250,f74]) ).
fof(f11827,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| ~ product(e_3,e_1,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f11250,f40]) ).
fof(f11828,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| ~ product(X0,e_1,e_3)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f11250,f38]) ).
fof(f11829,plain,
( ~ sQ65_spl
| ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f10787,f6083]) ).
fof(f11833,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f10787,f74]) ).
fof(f11834,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| ~ product(e_2,e_5,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f10787,f40]) ).
fof(f11835,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| ~ product(X0,e_5,e_2)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f10787,f38]) ).
fof(f11839,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f9516,f74]) ).
fof(f11840,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| ~ product(e_4,e_1,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f9516,f40]) ).
fof(f11841,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| ~ product(X0,e_1,e_4)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f9516,f38]) ).
fof(f11842,plain,
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f11196,f6082]) ).
fof(f11843,plain,
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f11196,f6083]) ).
fof(f11844,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f11196,f72]) ).
fof(f11845,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f11196,f70]) ).
fof(f11846,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f11196,f68]) ).
fof(f11847,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f11196,f74]) ).
fof(f11848,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| ~ product(e_2,e_2,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f11196,f40]) ).
fof(f11849,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| ~ product(X0,e_2,e_2)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f11196,f38]) ).
fof(f11850,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ65_spl
| ~ sQ92_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f11198,f9937]) ).
fof(f11851,plain,
( ~ sQ91_spl
| ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f11198,f2180]) ).
fof(f11852,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f11198,f72]) ).
fof(f11853,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f11198,f70]) ).
fof(f11854,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f11198,f68]) ).
fof(f11855,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f11198,f74]) ).
fof(f11856,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| ~ product(e_2,e_3,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f11198,f40]) ).
fof(f11857,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ92_spl
| ~ product(X0,e_3,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f11198,f38]) ).
fof(f11858,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ65_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11850,f52]) ).
fof(f11859,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ65_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f11858]) ).
fof(f11900,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f11822,f72]) ).
fof(f11901,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f11822,f70]) ).
fof(f11902,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f11822,f68]) ).
fof(f11903,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f11822,f74]) ).
fof(f11904,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| ~ product(e_4,e_3,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f11822,f40]) ).
fof(f11905,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| ~ product(X0,e_3,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f11822,f38]) ).
fof(f11906,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f11829,f72]) ).
fof(f11907,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f11829,f70]) ).
fof(f11908,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f11829,f68]) ).
fof(f11909,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f11829,f74]) ).
fof(f11910,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f11829,f40]) ).
fof(f11911,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f11829,f38]) ).
fof(f11913,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f11165,f214]) ).
fof(f11920,plain,
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f10813,f10787]) ).
fof(f11921,plain,
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f10814,f10787]) ).
fof(f11922,plain,
( ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f10815,f10787]) ).
fof(f11923,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f10788,f9516]) ).
fof(f11924,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f10789,f9516]) ).
fof(f11925,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f10790,f9516]) ).
fof(f11927,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f11824,f11250]) ).
fof(f11929,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| ~ sQ104_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f4378,f11250]) ).
fof(f11930,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11929,f49]) ).
fof(f11931,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ10_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f11930]) ).
fof(f11955,plain,
( ~ sQ65_spl
| ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f11906,f11829]) ).
fof(f11956,plain,
( ~ sQ65_spl
| ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f11907,f11829]) ).
fof(f11957,plain,
( ~ sQ65_spl
| ~ sQ6_spl
| ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11908,f11829]) ).
fof(f11958,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ97_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f1308,f9933]) ).
fof(f11959,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ97_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f11958,f544,f462,f276,f518]) ).
fof(f11960,plain,
( ~ sQ59_spl
| ~ sQ22_spl
| ~ sQ74_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1575,f313,f383,f165,f335]) ).
fof(f12007,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ product(e_1,e_2,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f11436,f40]) ).
fof(f12018,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f11681,f74]) ).
fof(f12019,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ product(e_1,e_5,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f11681,f40]) ).
fof(f12020,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ product(X0,e_5,e_1)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f11681,f38]) ).
fof(f12021,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f11913,f6083]) ).
fof(f12028,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f11223,f72]) ).
fof(f12029,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f11223,f70]) ).
fof(f12030,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f11223,f68]) ).
fof(f12031,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f11223,f74]) ).
fof(f12032,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| ~ product(e_4,e_3,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f11223,f40]) ).
fof(f12033,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ53_spl
| ~ product(X0,e_3,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f11223,f38]) ).
fof(f12039,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f11165,f74]) ).
fof(f12040,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f11165,f40]) ).
fof(f12041,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f11165,f38]) ).
fof(f12045,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f12021,f74]) ).
fof(f12046,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f12021,f40]) ).
fof(f12047,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f12021,f38]) ).
fof(f12056,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ56_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f5304,f11441]) ).
fof(f12057,plain,
( ~ sQ42_spl
| ~ sQ83_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1270,f277]) ).
fof(f12058,plain,
( ~ sQ53_spl
| ~ sQ22_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f190,f317]) ).
fof(f12059,plain,
( ~ sQ53_spl
| ~ sQ22_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f12058,f298,f165,f316]) ).
fof(f12060,plain,
( ~ sQ117_spl
| ~ sQ49_spl
| ~ sQ7_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2231,f270,f117,f298,f531]) ).
fof(f12094,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f11210,f74]) ).
fof(f12095,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ product(e_1,e_4,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f11210,f40]) ).
fof(f12096,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ product(X0,e_4,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f11210,f38]) ).
fof(f12099,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11178,f11913]) ).
fof(f12100,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f11179,f11913]) ).
fof(f12101,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11189,f12021]) ).
fof(f12102,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ22_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f191,f9933]) ).
fof(f12104,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f11187,f12021]) ).
fof(f12106,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f11171,f11165]) ).
fof(f12107,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11170,f11165]) ).
fof(f12108,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f192,f11210]) ).
fof(f12109,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ103_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f3872,f11436]) ).
fof(f12110,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ103_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f12109,f392,f486,f424,f518,f276]) ).
fof(f12111,plain,
( ~ sQ22_spl
| ~ sQ55_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f324,f191]) ).
fof(f12112,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ55_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f324,f1774]) ).
fof(f12113,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ55_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f324,f10532]) ).
fof(f12114,plain,
( ~ sQ42_spl
| ~ sQ55_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f324,f1332]) ).
fof(f12115,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f324,f72]) ).
fof(f12116,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f324,f70]) ).
fof(f12117,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f324,f68]) ).
fof(f12118,plain,
! [X0] :
( ~ sQ55_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f324,f74]) ).
fof(f12119,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_4,e_1,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f324,f40]) ).
fof(f12120,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(X0,e_1,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f324,f38]) ).
fof(f12121,plain,
( ~ sQ22_spl
| ~ sQ55_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f12111,f505,f323,f165]) ).
fof(f12122,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12112,f59]) ).
fof(f12123,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f12122]) ).
fof(f12174,plain,
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f12108,f1242]) ).
fof(f12175,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f12108,f72]) ).
fof(f12176,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f12108,f70]) ).
fof(f12177,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f12108,f68]) ).
fof(f12182,plain,
( ~ sQ22_spl
| ~ sQ85_spl
| ~ sQ102_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f7743,f190]) ).
fof(f12186,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f7743,f74]) ).
fof(f12187,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f7743,f40]) ).
fof(f12188,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ102_spl
| ~ product(X0,e_2,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f7743,f38]) ).
fof(f12189,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f11281,f72]) ).
fof(f12190,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f11281,f70]) ).
fof(f12191,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f11281,f68]) ).
fof(f12192,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f11281,f74]) ).
fof(f12193,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ product(e_5,e_4,X0)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f11281,f40]) ).
fof(f12194,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ product(X0,e_4,e_5)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f11281,f38]) ).
fof(f12195,plain,
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f12174,f825]) ).
fof(f12196,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f12174,f72]) ).
fof(f12197,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f12174,f70]) ).
fof(f12198,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f12174,f68]) ).
fof(f12199,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f12174,f74]) ).
fof(f12200,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ product(e_4,e_1,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f12174,f40]) ).
fof(f12201,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ product(X0,e_1,e_4)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f12174,f38]) ).
fof(f12202,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f12195,f72]) ).
fof(f12203,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f12195,f70]) ).
fof(f12204,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f12195,f68]) ).
fof(f12205,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f12195,f74]) ).
fof(f12206,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ product(e_5,e_3,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f12195,f40]) ).
fof(f12207,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ product(X0,e_3,e_5)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f12195,f38]) ).
fof(f12208,plain,
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ85_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f5299,f12195]) ).
fof(f12210,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f5298,f11913]) ).
fof(f12211,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f903,f12021]) ).
fof(f12212,plain,
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f12210,f823]) ).
fof(f12213,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f12210,f72]) ).
fof(f12214,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f12210,f70]) ).
fof(f12215,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f12210,f68]) ).
fof(f12216,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f12210,f74]) ).
fof(f12217,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| ~ product(e_3,e_2,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f12210,f40]) ).
fof(f12218,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| ~ product(X0,e_2,e_3)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f12210,f38]) ).
fof(f12219,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f12212,f72]) ).
fof(f12220,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f12212,f70]) ).
fof(f12221,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f12212,f68]) ).
fof(f12222,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f12212,f74]) ).
fof(f12223,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| ~ product(e_4,e_3,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f12212,f40]) ).
fof(f12224,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| ~ product(X0,e_3,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f12212,f38]) ).
fof(f12225,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ sQ39_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2571,f11281]) ).
fof(f12226,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ sQ39_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2572,f11281]) ).
fof(f12227,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ sQ39_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2570,f11281]) ).
fof(f12228,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f11211,f11210]) ).
fof(f12229,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f11212,f11210]) ).
fof(f12230,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11213,f11210]) ).
fof(f12231,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f8296,f7743]) ).
fof(f12232,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f8297,f7743]) ).
fof(f12233,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f8213,f7743]) ).
fof(f12238,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f12176,f12108]) ).
fof(f12239,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f904,f12210]) ).
fof(f12241,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ122_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1316,f11210]) ).
fof(f12242,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ122_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f12241,f254,f547,f266,f537,f276,f152,f355]) ).
fof(f12253,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ99_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f830,f10531]) ).
fof(f12254,plain,
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ99_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f831,f12174]) ).
fof(f12255,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ99_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f832,f12021]) ).
fof(f12258,plain,
( ~ sQ65_spl
| ~ sQ113_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ99_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f12254,f6082]) ).
fof(f12261,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ99_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f12254,f72]) ).
fof(f12262,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f12254,f70]) ).
fof(f12263,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ99_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f12254,f68]) ).
fof(f12264,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ99_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f12254,f74]) ).
fof(f12265,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ99_spl
| ~ product(e_4,e_2,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f12254,f40]) ).
fof(f12266,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ99_spl
| ~ product(X0,e_2,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f12254,f38]) ).
fof(f12267,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f12177,f12108]) ).
fof(f12271,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f12213,f12210]) ).
fof(f12273,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f12215,f12210]) ).
fof(f12274,plain,
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f12219,f12212]) ).
fof(f12275,plain,
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f12220,f12212]) ).
fof(f12276,plain,
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f12221,f12212]) ).
fof(f12277,plain,
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| ~ sQ113_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f11445,f12212]) ).
fof(f12279,plain,
( ~ sQ113_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ sQ99_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f11173,f12254]) ).
fof(f12282,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f2193,f11281]) ).
fof(f12284,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ11_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f2195,f11441]) ).
fof(f12285,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ106_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f2988,f11681]) ).
fof(f12286,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f2989,f11281]) ).
fof(f12287,plain,
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| ~ sQ106_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f2990,f12212]) ).
fof(f12289,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ73_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f942,f11165]) ).
fof(f12290,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ73_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f943,f11436]) ).
fof(f12293,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| ~ sQ39_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f737,f12210]) ).
fof(f12294,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ51_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f4656,f11441]) ).
fof(f12295,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ51_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f4657,f11681]) ).
fof(f12297,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ117_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1350,f11210]) ).
fof(f12298,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ117_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f12297,f270,f531,f266,f537,f276,f152,f355]) ).
fof(f12299,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ11_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f12284,f537,f130,f424,f276,f518]) ).
fof(f12300,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ22_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f12102,f537,f165,f276,f518]) ).
fof(f12301,plain,
( ~ sQ39_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ51_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f12295,f736]) ).
fof(f12302,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ51_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f12295,f832]) ).
fof(f12303,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f12295,f72]) ).
fof(f12304,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f12295,f70]) ).
fof(f12305,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f12295,f68]) ).
fof(f12306,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ51_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f12295,f74]) ).
fof(f12307,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ51_spl
| ~ product(e_1,e_3,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f12295,f40]) ).
fof(f12308,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ51_spl
| ~ product(X0,e_3,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f12295,f38]) ).
fof(f12309,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ51_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f12294,f11156]) ).
fof(f12310,plain,
( ~ sQ85_spl
| ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ51_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f12294,f5299]) ).
fof(f12313,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f12294,f72]) ).
fof(f12314,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f12294,f70]) ).
fof(f12315,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f12294,f68]) ).
fof(f12316,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ51_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f12294,f74]) ).
fof(f12317,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ51_spl
| ~ product(e_5,e_3,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f12294,f40]) ).
fof(f12318,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ51_spl
| ~ product(X0,e_3,e_5)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f12294,f38]) ).
fof(f12319,plain,
( ~ sQ11_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ73_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f12290,f2194]) ).
fof(f12321,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ73_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f12290,f11445]) ).
fof(f12322,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f12290,f72]) ).
fof(f12323,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f12290,f70]) ).
fof(f12324,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f12290,f68]) ).
fof(f12325,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ73_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f12290,f74]) ).
fof(f12326,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ product(e_4,e_3,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f12290,f40]) ).
fof(f12327,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ73_spl
| ~ product(X0,e_3,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f12290,f38]) ).
fof(f12328,plain,
( ~ sQ73_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f12286,f942]) ).
fof(f12329,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f12286,f214]) ).
fof(f12330,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f12286,f72]) ).
fof(f12331,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f12286,f70]) ).
fof(f12332,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f12286,f68]) ).
fof(f12333,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f12286,f74]) ).
fof(f12334,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f12286,f40]) ).
fof(f12335,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| ~ product(X0,e_1,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f12286,f38]) ).
fof(f12338,plain,
( ~ sQ59_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ106_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f12285,f825]) ).
fof(f12339,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ106_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f12285,f72]) ).
fof(f12340,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f12285,f70]) ).
fof(f12341,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f12285,f68]) ).
fof(f12342,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ106_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f12285,f74]) ).
fof(f12343,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ106_spl
| ~ product(e_4,e_1,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f12285,f40]) ).
fof(f12344,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ85_spl
| ~ sQ106_spl
| ~ product(X0,e_1,e_4)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f12285,f38]) ).
fof(f12345,plain,
( ~ sQ73_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f12282,f941]) ).
fof(f12346,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f12282,f1242]) ).
fof(f12347,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f12282,f72]) ).
fof(f12348,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f12282,f70]) ).
fof(f12349,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f12282,f68]) ).
fof(f12350,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f12282,f74]) ).
fof(f12351,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ product(e_3,e_5,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f12282,f40]) ).
fof(f12352,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ product(X0,e_5,e_3)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f12282,f38]) ).
fof(f12353,plain,
( ~ sQ85_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f11913,f5298]) ).
fof(f12354,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f11913,f6083]) ).
fof(f12361,plain,
( ~ sQ22_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f11210,f192]) ).
fof(f12365,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f11210,f74]) ).
fof(f12366,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ product(e_1,e_4,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f11210,f40]) ).
fof(f12367,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ product(X0,e_4,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f11210,f38]) ).
fof(f12368,plain,
( ~ sQ42_spl
| ~ sQ78_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f3880,f277]) ).
fof(f12370,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f131,f737]) ).
fof(f12371,plain,
( ~ sQ59_spl
| ~ sQ11_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f131,f823]) ).
fof(f12372,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f131,f72]) ).
fof(f12373,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f131,f70]) ).
fof(f12374,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f131,f68]) ).
fof(f12378,plain,
( ~ sQ65_spl
| ~ sQ82_spl
| ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f497,f6480]) ).
fof(f12379,plain,
( ~ sQ65_spl
| ~ sQ106_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f497,f6082]) ).
fof(f12380,plain,
( ~ sQ65_spl
| ~ sQ82_spl
| ~ sQ106_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f497,f6479]) ).
fof(f12381,plain,
( ~ sQ65_spl
| ~ sQ82_spl
| ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f497,f6478]) ).
fof(f12382,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f497,f72]) ).
fof(f12383,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f497,f70]) ).
fof(f12384,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f497,f68]) ).
fof(f12388,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| ~ sQ78_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3991,f12286]) ).
fof(f12389,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| ~ sQ78_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f3992,f12286]) ).
fof(f12390,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ106_spl
| ~ sQ78_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3990,f12286]) ).
fof(f12395,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11178,f11913]) ).
fof(f12396,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f11179,f11913]) ).
fof(f12398,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ82_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f6105,f9933]) ).
fof(f12399,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ82_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f6106,f11210]) ).
fof(f12400,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f11211,f11210]) ).
fof(f12401,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f11212,f11210]) ).
fof(f12402,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f11213,f11210]) ).
fof(f12404,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f12176,f12282]) ).
fof(f12405,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ11_spl
| ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f12177,f12282]) ).
fof(f12409,plain,
( ~ sQ11_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f12213,f131]) ).
fof(f12411,plain,
( ~ sQ11_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ85_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f12215,f131]) ).
fof(f12415,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ51_spl
| ~ sQ106_spl
| ~ sQ78_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f3995,f12294]) ).
fof(f12417,plain,
( ~ sQ106_spl
| ~ sQ78_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f3993,f497]) ).
fof(f12418,plain,
( ~ sQ59_spl
| ~ sQ82_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f6107,f336]) ).
fof(f12419,plain,
( ~ sQ65_spl
| ~ sQ18_spl
| ~ sQ42_spl
| ~ sQ119_spl
| ~ sQ39_spl
| ~ sQ102_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f3904,f11210]) ).
fof(f12420,plain,
( ~ sQ59_spl
| ~ sQ102_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f3905,f336]) ).
fof(f12421,plain,
( ~ sQ85_spl
| ~ sQ102_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f3906,f7743]) ).
fof(f12422,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ51_spl
| ~ sQ5_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f3809,f12294]) ).
fof(f12423,plain,
( ~ sQ42_spl
| ~ sQ113_spl
| ~ sQ5_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f3810,f10230]) ).
fof(f12424,plain,
( ~ sQ106_spl
| ~ sQ5_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f3811,f497]) ).
fof(f12425,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ1_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f2994,f11281]) ).
fof(f12426,plain,
( ~ sQ42_spl
| ~ sQ85_spl
| ~ sQ102_spl
| ~ sQ1_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f12425,f234,f98,f483,f424,f276]) ).
fof(f12438,plain,
( ~ sQ11_spl
| ~ sQ119_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f904,f131]) ).
fof(f12439,plain,
( ~ sQ42_spl
| ~ sQ18_spl
| ~ sQ119_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f905,f10531]) ).
fof(f12454,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2177,f444]) ).
fof(f12455,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2178,f444]) ).
fof(f12456,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2179,f444]) ).
fof(f12457,plain,
( ~ sQ120_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3019,f542]) ).
fof(f12458,plain,
( ~ sQ120_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3020,f542]) ).
fof(f12459,plain,
( ~ sQ120_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3021,f542]) ).
fof(f12460,plain,
( ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1371,f346]) ).
fof(f12461,plain,
( ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1372,f346]) ).
fof(f12462,plain,
( ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1373,f346]) ).
fof(f12463,plain,
( ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1255,f248]) ).
fof(f12464,plain,
( ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1256,f248]) ).
fof(f12465,plain,
( ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1257,f248]) ).
fof(f12466,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f678,f108]) ).
fof(f12467,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f679,f108]) ).
fof(f12468,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f680,f108]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ16_spl
| ~ sQ17_spl
| sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| ~ sQ24_spl
| sQ25_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ50_spl
| sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| sQ65_spl
| ~ sQ66_spl
| ~ sQ67_spl
| ~ sQ68_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| sQ78_spl
| ~ sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| ~ sQ98_spl
| sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| sQ102_spl
| ~ sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| sQ106_spl
| ~ sQ108_spl
| ~ sQ109_spl
| ~ sQ110_spl
| ~ sQ111_spl
| ~ sQ112_spl
| sQ113_spl
| ~ sQ114_spl
| ~ sQ115_spl
| ~ sQ116_spl
| ~ sQ117_spl
| ~ sQ118_spl
| sQ119_spl
| sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP129-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n017.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 20 19:56:11 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 201.05/26.04 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 201.05/26.04 % SZS output start Saturation for theBenchmark
% See solution above
% 151.97/26.10 % Elapsed time: 25.666753 seconds
% 151.97/26.10 % CPU time: 203.056702 seconds
% 151.97/26.10 % Total memory used: 170.333 MB
% 151.97/26.10 % Net memory used: 152.268 MB
%------------------------------------------------------------------------------