%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP126-4.005 : 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 : n014.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 12:35:52 PM UTC 2026
% Result : Satisfiable 1.16s 0.61s
% Output : Saturation 1.16s
% 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,
! [X,Y,Z1,Z2] :
( ~ product(Y,X,Z2)
| ~ product(Z1,Z2,Y)
| product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y,X,Z2,Z1] :
( ~ product(X,Y,Z1)
| ~ product(Z1,Z2,Y)
| product(Y,X,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,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(Z1,Z2,Y)
| ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0,X1] :
( product(e_5,X0,X1)
| product(e_4,X0,X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
! [X0,X1] :
( product(X0,e_5,X1)
| product(X0,e_4,X1)
| product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
! [X,Y,Z2] :
( ~ product(Y,X,Z2)
| ! [Z1] :
( ~ product(Z1,Z2,Y)
| product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ~ product(X1,X0,X3)
| ~ product(X2,X3,X1)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [Y,X,Z1] :
( ~ product(X,Y,Z1)
| ! [Z2] :
( ~ product(Z1,Z2,Y)
| product(Y,X,Z2) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ product(X1,X0,X3)
| ~ product(X3,X2,X0)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f43,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f44,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f45,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f46,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f47,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f48,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f49,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f50,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f51,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f52,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f53,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f54,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f55,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f56,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f57,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f58,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f59,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f60,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f61,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f62,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f63,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f64,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f65,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f66,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f67,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f68,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f75,plain,
! [Y,Z1,Z2] :
( product(Z1,Z2,Y)
| ! [X] :
( ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( product(X2,X3,X1)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( ~ product(X1,X0,X0)
| product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f74,f41]) ).
fof(f79,plain,
! [X0,X1] :
( ~ product(X1,X0,X0)
| product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f74,f39]) ).
fof(f81,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f74,f39]) ).
fof(f83,plain,
! [X0,X1] :
( product(X1,X0,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f76,f74]) ).
fof(f85,plain,
! [X0] :
( product(e_5,X0,e_3)
| product(e_4,X0,e_3)
| product(e_3,X0,e_3)
| product(e_2,X0,e_3)
| product(e_1,X0,e_3)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f44]) ).
fof(f86,plain,
! [X0] :
( product(e_5,X0,e_2)
| product(e_4,X0,e_2)
| product(e_3,X0,e_2)
| product(e_2,X0,e_2)
| product(e_1,X0,e_2)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f43]) ).
fof(f87,plain,
! [X0] :
( product(e_5,X0,e_1)
| product(e_4,X0,e_1)
| product(e_3,X0,e_1)
| product(e_2,X0,e_1)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f42]) ).
fof(f88,plain,
! [X0] :
( product(X0,e_5,e_3)
| product(X0,e_4,e_3)
| product(X0,e_3,e_3)
| product(X0,e_2,e_3)
| product(X0,e_1,e_3)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f37,f44]) ).
fof(f89,plain,
! [X0] :
( product(X0,e_5,e_2)
| product(X0,e_4,e_2)
| product(X0,e_3,e_2)
| product(X0,e_2,e_2)
| product(X0,e_1,e_2)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f37,f43]) ).
fof(f90,plain,
! [X0] :
( product(X0,e_5,e_1)
| product(X0,e_4,e_1)
| product(X0,e_3,e_1)
| product(X0,e_2,e_1)
| product(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f37,f42]) ).
fof(f91,plain,
! [X0] :
( product(X0,e_5,e_4)
| product(X0,e_4,e_4)
| product(X0,e_3,e_4)
| product(X0,e_2,e_4)
| product(X0,e_1,e_4)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f45,f37]) ).
fof(f92,plain,
! [X0] :
( product(e_5,X0,e_4)
| product(e_4,X0,e_4)
| product(e_3,X0,e_4)
| product(e_2,X0,e_4)
| product(e_1,X0,e_4)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f45,f36]) ).
fof(f95,plain,
! [X0] :
( product(X0,e_5,e_5)
| product(X0,e_4,e_5)
| product(X0,e_3,e_5)
| product(X0,e_2,e_5)
| product(X0,e_1,e_5)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f46,f37]) ).
fof(f96,plain,
! [X0] :
( product(e_5,X0,e_5)
| product(e_4,X0,e_5)
| product(e_3,X0,e_5)
| product(e_2,X0,e_5)
| product(e_1,X0,e_5)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f46,f36]) ).
fof(f97,plain,
! [X0] :
( product(X0,e_5,e_5)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3)
| product(X0,e_5,e_2)
| product(X0,e_5,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f46]) ).
fof(f98,plain,
! [X0] :
( product(X0,e_4,e_5)
| product(X0,e_4,e_4)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f45]) ).
fof(f99,plain,
! [X0] :
( product(X0,e_3,e_5)
| product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f44]) ).
fof(f100,plain,
! [X0] :
( product(X0,e_2,e_5)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f43]) ).
fof(f101,plain,
! [X0] :
( product(X0,e_1,e_5)
| product(X0,e_1,e_4)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f42]) ).
fof(f102,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f69,f74]) ).
fof(f103,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f102,f74]) ).
fof(f104,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f71,f74]) ).
fof(f106,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f73,f74]) ).
fof(f108,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)],[f85,f46]) ).
fof(f109,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)],[f85,f45]) ).
fof(f110,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)],[f85,f44]) ).
fof(f111,plain,
( product(e_5,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f85,f43]) ).
fof(f112,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)],[f85,f42]) ).
fof(f113,definition,
( sQ0_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ0_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ0_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ1_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ1_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( sQ1_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,definition,
( sQ2_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( ~ sQ2_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f121,plain,
( sQ2_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,definition,
( sQ3_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( ~ sQ3_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f124,plain,
( sQ3_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,definition,
( sQ4_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ4_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f127,plain,
( sQ4_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f108,f113,f116,f119,f122,f125]) ).
fof(f129,definition,
( sQ5_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ5_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f131,plain,
( sQ5_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
( sQ6_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ6_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f134,plain,
( sQ6_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ7_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ7_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f137,plain,
( sQ7_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ8_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ8_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f140,plain,
( sQ8_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ9_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ9_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( sQ9_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f109,f129,f132,f135,f138,f141]) ).
fof(f145,definition,
( sQ10_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ10_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ10_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,definition,
( sQ11_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ11_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( sQ11_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,definition,
( sQ12_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f154,definition,
( sQ13_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ13_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f156,plain,
( sQ13_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
( sQ14_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ14_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ14_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f110,f145,f148,f151,f154,f157]) ).
fof(f161,definition,
( sQ15_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ15_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f163,plain,
( sQ15_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
( sQ16_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ16_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ16_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ17_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ17_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f169,plain,
( sQ17_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ18_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ18_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f172,plain,
( sQ18_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,definition,
( sQ19_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ19_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( sQ19_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f111,f161,f164,f167,f170,f173]) ).
fof(f177,definition,
( sQ20_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ20_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ20_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ21_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ21_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ21_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ22_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ22_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f185,plain,
( sQ22_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,definition,
( sQ23_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ23_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ23_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,definition,
( sQ24_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ24_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f191,plain,
( sQ24_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f112,f177,f180,f183,f186,f189]) ).
fof(f193,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f190,f73]) ).
fof(f194,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f190,f71]) ).
fof(f195,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f190,f69]) ).
fof(f196,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f190,f76]) ).
fof(f197,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f190,f41]) ).
fof(f198,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(X0,e_3,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f190,f39]) ).
fof(f199,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f190,f39]) ).
fof(f200,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)],[f86,f46]) ).
fof(f201,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)],[f86,f45]) ).
fof(f202,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)],[f86,f44]) ).
fof(f203,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)],[f86,f43]) ).
fof(f204,plain,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f86,f42]) ).
fof(f205,definition,
( sQ25_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ25_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f207,plain,
( sQ25_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
( sQ26_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ26_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f210,plain,
( sQ26_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ27_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ27_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ27_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ28_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ28_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( sQ28_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ29_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ29_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ29_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f200,f205,f208,f211,f214,f217]) ).
fof(f221,definition,
( sQ30_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ30_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ30_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ31_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ31_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( sQ31_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,definition,
( sQ32_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ32_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ32_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ33_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ33_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ33_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ34_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ34_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ34_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f201,f221,f224,f227,f230,f233]) ).
fof(f237,definition,
( sQ35_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ35_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f239,plain,
( sQ35_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ36_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ36_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ36_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ37_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ37_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( sQ37_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ38_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ38_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ38_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ39_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ39_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ39_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f202,f237,f240,f243,f246,f249]) ).
fof(f253,definition,
( sQ40_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ40_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( sQ40_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
( sQ41_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f259,definition,
( sQ42_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ42_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( sQ42_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ43_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ44_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ44_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( sQ44_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f203,f253,f256,f259,f262,f265]) ).
fof(f269,definition,
( sQ45_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ45_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f271,plain,
( sQ45_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ46_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ46_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ46_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ47_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ47_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ47_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ48_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ48_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f280,plain,
( sQ48_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ49_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ49_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( sQ49_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f204,f269,f272,f275,f278,f281]) ).
fof(f285,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)],[f87,f46]) ).
fof(f286,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)],[f87,f45]) ).
fof(f287,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)],[f87,f44]) ).
fof(f288,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)],[f87,f43]) ).
fof(f289,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)],[f87,f42]) ).
fof(f290,definition,
( sQ50_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ50_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f292,plain,
( sQ50_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,definition,
( sQ51_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( ~ sQ51_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( sQ51_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,definition,
( sQ52_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ52_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f298,plain,
( sQ52_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,definition,
( sQ53_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ53_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( sQ53_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,definition,
( sQ54_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ54_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ54_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f285,f290,f293,f296,f299,f302]) ).
fof(f306,definition,
( sQ55_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ55_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f308,plain,
( sQ55_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,definition,
( sQ56_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ56_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f311,plain,
( sQ56_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,definition,
( sQ57_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f314,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,definition,
( sQ58_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ58_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( sQ58_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ59_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ59_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ59_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f286,f306,f309,f312,f315,f318]) ).
fof(f322,definition,
( sQ60_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ60_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f324,plain,
( sQ60_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,definition,
( sQ61_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ61_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f327,plain,
( sQ61_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,definition,
( sQ62_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ62_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f330,plain,
( sQ62_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
( sQ63_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ63_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f333,plain,
( sQ63_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,definition,
( sQ64_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ64_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f336,plain,
( sQ64_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f287,f322,f325,f328,f331,f334]) ).
fof(f338,definition,
( sQ65_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ65_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f340,plain,
( sQ65_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
( sQ66_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ66_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f343,plain,
( sQ66_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
( sQ67_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( ~ sQ67_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f346,plain,
( sQ67_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,definition,
( sQ68_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ68_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f349,plain,
( sQ68_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,definition,
( sQ69_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ69_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f352,plain,
( sQ69_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f288,f338,f341,f344,f347,f350]) ).
fof(f354,definition,
( sQ70_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f357,definition,
( sQ71_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ71_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f359,plain,
( sQ71_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ72_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ72_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ72_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ73_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ73_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( sQ73_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ74_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ74_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( sQ74_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f289,f354,f357,f360,f363,f366]) ).
fof(f370,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)],[f88,f46]) ).
fof(f371,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f88,f45]) ).
fof(f372,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)],[f88,f44]) ).
fof(f373,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)],[f88,f43]) ).
fof(f374,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)],[f88,f42]) ).
fof(f375,plain,
( sQ4_spl
| sQ9_spl
| sQ14_spl
| sQ19_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f370,f189,f173,f157,f141,f125]) ).
fof(f376,plain,
( sQ3_spl
| sQ8_spl
| sQ13_spl
| sQ18_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f371,f186,f170,f154,f138,f122]) ).
fof(f377,plain,
( sQ2_spl
| sQ7_spl
| sQ12_spl
| sQ17_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f372,f183,f167,f151,f135,f119]) ).
fof(f378,plain,
( sQ1_spl
| sQ6_spl
| sQ11_spl
| sQ16_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f373,f180,f164,f148,f132,f116]) ).
fof(f379,plain,
( sQ0_spl
| sQ5_spl
| sQ10_spl
| sQ15_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f374,f177,f161,f145,f129,f113]) ).
fof(f380,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)],[f89,f46]) ).
fof(f381,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)],[f89,f45]) ).
fof(f382,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f89,f44]) ).
fof(f383,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)],[f89,f43]) ).
fof(f384,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)],[f89,f42]) ).
fof(f385,plain,
( sQ29_spl
| sQ34_spl
| sQ39_spl
| sQ44_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f380,f281,f265,f249,f233,f217]) ).
fof(f386,plain,
( sQ28_spl
| sQ33_spl
| sQ38_spl
| sQ43_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f381,f278,f262,f246,f230,f214]) ).
fof(f387,plain,
( sQ27_spl
| sQ32_spl
| sQ37_spl
| sQ42_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f382,f275,f259,f243,f227,f211]) ).
fof(f388,plain,
( sQ26_spl
| sQ31_spl
| sQ36_spl
| sQ41_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f383,f272,f256,f240,f224,f208]) ).
fof(f389,plain,
( sQ25_spl
| sQ30_spl
| sQ35_spl
| sQ40_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f384,f269,f253,f237,f221,f205]) ).
fof(f390,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)],[f90,f46]) ).
fof(f391,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)],[f90,f45]) ).
fof(f392,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)],[f90,f44]) ).
fof(f393,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f90,f43]) ).
fof(f394,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)],[f90,f42]) ).
fof(f395,plain,
( sQ54_spl
| sQ59_spl
| sQ64_spl
| sQ69_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f390,f366,f350,f334,f318,f302]) ).
fof(f396,plain,
( sQ53_spl
| sQ58_spl
| sQ63_spl
| sQ68_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f391,f363,f347,f331,f315,f299]) ).
fof(f397,plain,
( sQ52_spl
| sQ57_spl
| sQ62_spl
| sQ67_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f392,f360,f344,f328,f312,f296]) ).
fof(f398,plain,
( sQ51_spl
| sQ56_spl
| sQ61_spl
| sQ66_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f393,f357,f341,f325,f309,f293]) ).
fof(f399,plain,
( sQ50_spl
| sQ55_spl
| sQ60_spl
| sQ65_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f394,f354,f338,f322,f306,f290]) ).
fof(f400,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f187,f73]) ).
fof(f401,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f187,f71]) ).
fof(f402,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f187,f69]) ).
fof(f403,plain,
! [X0] :
( ~ sQ23_spl
| product(X0,e_3,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f187,f76]) ).
fof(f404,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f187,f41]) ).
fof(f405,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(X0,e_3,e_4)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f187,f39]) ).
fof(f406,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f187,f39]) ).
fof(f407,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f184,f73]) ).
fof(f408,plain,
( ~ sQ22_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f184,f104]) ).
fof(f409,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f184,f71]) ).
fof(f410,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f184,f69]) ).
fof(f411,plain,
( ~ sQ22_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f184,f81]) ).
fof(f412,plain,
! [X0] :
( ~ sQ22_spl
| product(X0,e_3,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f184,f76]) ).
fof(f413,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f184,f41]) ).
fof(f414,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(X0,e_3,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f184,f39]) ).
fof(f415,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f184,f39]) ).
fof(f416,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f48]) ).
fof(f417,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f416]) ).
fof(f418,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f181,f73]) ).
fof(f419,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f181,f71]) ).
fof(f420,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f181,f69]) ).
fof(f421,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_3,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f181,f76]) ).
fof(f422,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f181,f41]) ).
fof(f423,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(X0,e_3,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f181,f39]) ).
fof(f424,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f181,f39]) ).
fof(f425,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)],[f91,f46]) ).
fof(f426,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)],[f91,f45]) ).
fof(f427,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)],[f91,f44]) ).
fof(f428,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)],[f91,f43]) ).
fof(f429,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f91,f42]) ).
fof(f430,definition,
( sQ75_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ75_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ75_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ76_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ76_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ76_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ77_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ77_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ77_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ78_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ78_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( sQ78_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ79_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ79_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f444,plain,
( sQ79_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f425,f430,f433,f436,f439,f442]) ).
fof(f446,definition,
( sQ80_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ80_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ80_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ81_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ81_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( sQ81_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ82_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ82_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( sQ82_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ83_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f458,definition,
( sQ84_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ84_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ84_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f426,f446,f449,f452,f455,f458]) ).
fof(f462,definition,
( sQ85_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ85_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f464,plain,
( sQ85_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ86_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ86_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f467,plain,
( sQ86_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,definition,
( sQ87_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ87_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ87_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ88_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ88_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( sQ88_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ89_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ89_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f476,plain,
( sQ89_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f427,f462,f465,f468,f471,f474]) ).
fof(f478,definition,
( sQ90_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ90_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f480,plain,
( sQ90_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ91_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ91_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f483,plain,
( sQ91_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ92_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ92_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f486,plain,
( sQ92_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ93_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ93_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( sQ93_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ94_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ94_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ94_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f428,f478,f481,f484,f487,f490]) ).
fof(f494,definition,
( sQ95_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ95_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( sQ95_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,definition,
( sQ96_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ96_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f499,plain,
( sQ96_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ97_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ97_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( sQ97_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ98_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ98_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f505,plain,
( sQ98_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ99_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ99_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( sQ99_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f429,f494,f497,f500,f503,f506]) ).
fof(f510,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)],[f92,f46]) ).
fof(f511,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)],[f92,f45]) ).
fof(f512,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)],[f92,f44]) ).
fof(f513,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)],[f92,f43]) ).
fof(f514,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)],[f92,f42]) ).
fof(f515,plain,
( sQ79_spl
| sQ84_spl
| sQ89_spl
| sQ94_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f510,f506,f490,f474,f458,f442]) ).
fof(f516,plain,
( sQ78_spl
| sQ83_spl
| sQ88_spl
| sQ93_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f511,f503,f487,f471,f455,f439]) ).
fof(f517,plain,
( sQ77_spl
| sQ82_spl
| sQ87_spl
| sQ92_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f512,f500,f484,f468,f452,f436]) ).
fof(f518,plain,
( sQ76_spl
| sQ81_spl
| sQ86_spl
| sQ91_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f513,f497,f481,f465,f449,f433]) ).
fof(f519,plain,
( sQ75_spl
| sQ80_spl
| sQ85_spl
| sQ90_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f514,f494,f478,f462,f446,f430]) ).
fof(f520,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)],[f95,f46]) ).
fof(f521,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)],[f95,f45]) ).
fof(f522,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)],[f95,f44]) ).
fof(f523,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)],[f95,f43]) ).
fof(f524,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)],[f95,f42]) ).
fof(f525,definition,
( sQ100_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( ~ sQ100_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f527,plain,
( sQ100_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
( sQ101_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ101_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f530,plain,
( sQ101_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ102_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ102_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f533,plain,
( sQ102_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ103_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ103_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( sQ103_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ104_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f520,f525,f528,f531,f534,f537]) ).
fof(f541,definition,
( sQ105_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ105_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( sQ105_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,definition,
( sQ106_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ106_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f546,plain,
( sQ106_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,definition,
( sQ107_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ107_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f549,plain,
( sQ107_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ108_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ108_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( sQ108_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,definition,
( sQ109_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( ~ sQ109_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( sQ109_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f521,f541,f544,f547,f550,f553]) ).
fof(f557,definition,
( sQ110_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( ~ sQ110_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f559,plain,
( sQ110_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,definition,
( sQ111_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ111_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( sQ111_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,definition,
( sQ112_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( ~ sQ112_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f565,plain,
( sQ112_spl
| ~ product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,definition,
( sQ113_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ113_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f568,plain,
( sQ113_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,definition,
( sQ114_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ114_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f571,plain,
( sQ114_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f522,f557,f560,f563,f566,f569]) ).
fof(f573,definition,
( sQ115_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ115_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( sQ115_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ116_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ116_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f578,plain,
( sQ116_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,definition,
( sQ117_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ117_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f581,plain,
( sQ117_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,definition,
( sQ118_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( ~ sQ118_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f584,plain,
( sQ118_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,definition,
( sQ119_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ119_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( sQ119_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f523,f573,f576,f579,f582,f585]) ).
fof(f589,definition,
( sQ120_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ120_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( sQ120_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ121_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ121_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f594,plain,
( sQ121_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,definition,
( sQ122_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ122_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( sQ122_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,definition,
( sQ123_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( ~ sQ123_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( sQ123_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ124_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ124_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f603,plain,
( sQ124_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f524,f589,f592,f595,f598,f601]) ).
fof(f605,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f178,f73]) ).
fof(f606,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f178,f71]) ).
fof(f607,plain,
( ~ sQ20_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f178,f102]) ).
fof(f608,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f178,f69]) ).
fof(f609,plain,
( ~ sQ20_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f178,f83]) ).
fof(f610,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f178,f76]) ).
fof(f611,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f178,f41]) ).
fof(f612,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(X0,e_3,e_1)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f178,f39]) ).
fof(f613,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f178,f39]) ).
fof(f614,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f607,f55]) ).
fof(f615,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f614]) ).
fof(f616,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f171,f73]) ).
fof(f617,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f171,f71]) ).
fof(f618,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f171,f69]) ).
fof(f619,plain,
! [X0] :
( ~ sQ18_spl
| product(X0,e_3,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f171,f76]) ).
fof(f620,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f171,f41]) ).
fof(f621,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_3,e_4)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f171,f39]) ).
fof(f622,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f171,f39]) ).
fof(f623,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f168,f73]) ).
fof(f624,plain,
( ~ sQ17_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f168,f104]) ).
fof(f625,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f168,f71]) ).
fof(f626,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f168,f69]) ).
fof(f627,plain,
( ~ sQ17_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f168,f81]) ).
fof(f628,plain,
! [X0] :
( ~ sQ17_spl
| product(X0,e_3,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f168,f76]) ).
fof(f629,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f168,f41]) ).
fof(f630,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(X0,e_3,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f168,f39]) ).
fof(f631,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f168,f39]) ).
fof(f632,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f624,f52]) ).
fof(f633,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f634,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)],[f96,f46]) ).
fof(f635,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)],[f96,f45]) ).
fof(f636,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)],[f96,f44]) ).
fof(f637,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)],[f96,f43]) ).
fof(f638,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)],[f96,f42]) ).
fof(f639,plain,
( sQ104_spl
| sQ109_spl
| sQ114_spl
| sQ119_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f634,f601,f585,f569,f553,f537]) ).
fof(f640,plain,
( sQ103_spl
| sQ108_spl
| sQ113_spl
| sQ118_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f635,f598,f582,f566,f550,f534]) ).
fof(f641,plain,
( sQ102_spl
| sQ107_spl
| sQ112_spl
| sQ117_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f636,f595,f579,f563,f547,f531]) ).
fof(f642,plain,
( sQ101_spl
| sQ106_spl
| sQ111_spl
| sQ116_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f637,f592,f576,f560,f544,f528]) ).
fof(f643,plain,
( sQ100_spl
| sQ105_spl
| sQ110_spl
| sQ115_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f638,f589,f573,f557,f541,f525]) ).
fof(f644,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)],[f97,f46]) ).
fof(f645,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)],[f97,f45]) ).
fof(f646,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)],[f97,f44]) ).
fof(f647,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)],[f97,f43]) ).
fof(f648,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)],[f97,f42]) ).
fof(f649,plain,
( sQ104_spl
| sQ79_spl
| sQ4_spl
| sQ29_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f644,f302,f217,f125,f442,f537]) ).
fof(f650,plain,
( sQ109_spl
| sQ84_spl
| sQ3_spl
| sQ28_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f645,f299,f214,f122,f458,f553]) ).
fof(f651,plain,
( sQ114_spl
| sQ89_spl
| sQ2_spl
| sQ27_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f646,f296,f211,f119,f474,f569]) ).
fof(f652,plain,
( sQ119_spl
| sQ94_spl
| sQ1_spl
| sQ26_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f647,f293,f208,f116,f490,f585]) ).
fof(f653,plain,
( sQ124_spl
| sQ99_spl
| sQ0_spl
| sQ25_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f648,f290,f205,f113,f506,f601]) ).
fof(f654,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)],[f98,f46]) ).
fof(f655,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)],[f98,f45]) ).
fof(f656,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)],[f98,f44]) ).
fof(f657,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)],[f98,f43]) ).
fof(f658,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)],[f98,f42]) ).
fof(f659,plain,
( sQ103_spl
| sQ78_spl
| sQ9_spl
| sQ34_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f654,f318,f233,f141,f439,f534]) ).
fof(f660,plain,
( sQ108_spl
| sQ83_spl
| sQ8_spl
| sQ33_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f655,f315,f230,f138,f455,f550]) ).
fof(f661,plain,
( sQ113_spl
| sQ88_spl
| sQ7_spl
| sQ32_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f656,f312,f227,f135,f471,f566]) ).
fof(f662,plain,
( sQ118_spl
| sQ93_spl
| sQ6_spl
| sQ31_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f657,f309,f224,f132,f487,f582]) ).
fof(f663,plain,
( sQ123_spl
| sQ98_spl
| sQ5_spl
| sQ30_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f658,f306,f221,f129,f503,f598]) ).
fof(f664,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f165,f73]) ).
fof(f665,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f165,f71]) ).
fof(f666,plain,
( ~ sQ16_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f165,f102]) ).
fof(f667,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f165,f69]) ).
fof(f668,plain,
( ~ sQ16_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f165,f83]) ).
fof(f669,plain,
! [X0] :
( ~ sQ16_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f165,f76]) ).
fof(f670,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f165,f41]) ).
fof(f671,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(X0,e_3,e_2)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f165,f39]) ).
fof(f672,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f165,f39]) ).
fof(f673,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f666,f56]) ).
fof(f674,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f673]) ).
fof(f675,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f162,f421]) ).
fof(f676,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f162,f73]) ).
fof(f677,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f162,f71]) ).
fof(f678,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f162,f69]) ).
fof(f679,plain,
! [X0] :
( ~ sQ15_spl
| product(X0,e_3,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f162,f76]) ).
fof(f680,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f162,f41]) ).
fof(f681,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(X0,e_3,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f162,f39]) ).
fof(f682,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f162,f39]) ).
fof(f683,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f679,f181]) ).
fof(f684,plain,
( ~ sQ11_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f149,f106]) ).
fof(f685,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f149,f73]) ).
fof(f686,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f149,f71]) ).
fof(f687,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f149,f69]) ).
fof(f688,plain,
( ~ sQ11_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f149,f79]) ).
fof(f689,plain,
! [X0] :
( ~ sQ11_spl
| product(X0,e_3,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f149,f76]) ).
fof(f690,plain,
( ~ sQ11_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f149,f77]) ).
fof(f691,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f149,f41]) ).
fof(f692,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(X0,e_3,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f149,f39]) ).
fof(f693,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_3,X0,e_3)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f149,f39]) ).
fof(f694,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f52]) ).
fof(f695,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f694]) ).
fof(f696,plain,
( ~ sQ10_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f146,f106]) ).
fof(f697,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f73]) ).
fof(f698,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f146,f71]) ).
fof(f699,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f146,f69]) ).
fof(f700,plain,
( ~ sQ10_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f79]) ).
fof(f701,plain,
! [X0] :
( ~ sQ10_spl
| product(X0,e_3,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f146,f76]) ).
fof(f702,plain,
( ~ sQ10_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f146,f77]) ).
fof(f703,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f146,f41]) ).
fof(f704,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(X0,e_3,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f146,f39]) ).
fof(f705,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_3,X0,e_3)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f39]) ).
fof(f706,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f696,f48]) ).
fof(f707,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f706]) ).
fof(f708,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f133,f73]) ).
fof(f709,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f133,f71]) ).
fof(f710,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f133,f69]) ).
fof(f711,plain,
! [X0] :
( ~ sQ6_spl
| product(X0,e_3,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f133,f76]) ).
fof(f712,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f133,f41]) ).
fof(f713,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(X0,e_3,e_2)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f133,f39]) ).
fof(f714,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f133,f39]) ).
fof(f715,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)],[f99,f46]) ).
fof(f716,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)],[f99,f45]) ).
fof(f717,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)],[f99,f44]) ).
fof(f718,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)],[f99,f43]) ).
fof(f719,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)],[f99,f42]) ).
fof(f720,plain,
( sQ102_spl
| sQ77_spl
| sQ14_spl
| sQ39_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f715,f334,f249,f157,f436,f531]) ).
fof(f721,plain,
( sQ107_spl
| sQ82_spl
| sQ13_spl
| sQ38_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f716,f331,f246,f154,f452,f547]) ).
fof(f722,plain,
( sQ112_spl
| sQ87_spl
| sQ12_spl
| sQ37_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f717,f328,f243,f151,f468,f563]) ).
fof(f723,plain,
( sQ117_spl
| sQ92_spl
| sQ11_spl
| sQ36_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f718,f325,f240,f148,f484,f579]) ).
fof(f724,plain,
( sQ122_spl
| sQ97_spl
| sQ10_spl
| sQ35_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f719,f322,f237,f145,f500,f595]) ).
fof(f725,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)],[f100,f46]) ).
fof(f726,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)],[f100,f45]) ).
fof(f727,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)],[f100,f44]) ).
fof(f728,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)],[f100,f43]) ).
fof(f729,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)],[f100,f42]) ).
fof(f730,plain,
( sQ101_spl
| sQ76_spl
| sQ19_spl
| sQ44_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f725,f350,f265,f173,f433,f528]) ).
fof(f731,plain,
( sQ106_spl
| sQ81_spl
| sQ18_spl
| sQ43_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f726,f347,f262,f170,f449,f544]) ).
fof(f732,plain,
( sQ111_spl
| sQ86_spl
| sQ17_spl
| sQ42_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f727,f344,f259,f167,f465,f560]) ).
fof(f733,plain,
( sQ116_spl
| sQ91_spl
| sQ16_spl
| sQ41_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f728,f341,f256,f164,f481,f576]) ).
fof(f734,plain,
( sQ121_spl
| sQ96_spl
| sQ15_spl
| sQ40_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f729,f338,f253,f161,f497,f592]) ).
fof(f735,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)],[f101,f46]) ).
fof(f736,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)],[f101,f45]) ).
fof(f737,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)],[f101,f44]) ).
fof(f738,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)],[f101,f43]) ).
fof(f739,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)],[f101,f42]) ).
fof(f740,plain,
( sQ100_spl
| sQ75_spl
| sQ24_spl
| sQ49_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f735,f366,f281,f189,f430,f525]) ).
fof(f741,plain,
( sQ105_spl
| sQ80_spl
| sQ23_spl
| sQ48_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f736,f363,f278,f186,f446,f541]) ).
fof(f742,plain,
( sQ110_spl
| sQ85_spl
| sQ22_spl
| sQ47_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f737,f360,f275,f183,f462,f557]) ).
fof(f743,plain,
( sQ115_spl
| sQ90_spl
| sQ21_spl
| sQ46_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f738,f357,f272,f180,f478,f573]) ).
fof(f744,plain,
( sQ120_spl
| sQ95_spl
| sQ20_spl
| sQ45_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f739,f354,f269,f177,f494,f589]) ).
fof(f746,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f675,f422]) ).
fof(f747,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f675,f73]) ).
fof(f748,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f675,f71]) ).
fof(f749,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f675,f102]) ).
fof(f750,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f675,f69]) ).
fof(f751,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f675,f83]) ).
fof(f752,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ15_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f675,f76]) ).
fof(f753,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ15_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f675,f41]) ).
fof(f754,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ15_spl
| ~ product(X0,e_2,e_3)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f675,f39]) ).
fof(f755,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ15_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f675,f39]) ).
fof(f756,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f52]) ).
fof(f757,plain,
( ~ sQ21_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f756]) ).
fof(f758,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f619,f133]) ).
fof(f759,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f130,f73]) ).
fof(f760,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f130,f71]) ).
fof(f761,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f130,f69]) ).
fof(f762,plain,
! [X0] :
( ~ sQ5_spl
| product(X0,e_3,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f130,f76]) ).
fof(f763,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f130,f41]) ).
fof(f764,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(X0,e_3,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f130,f39]) ).
fof(f765,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f130,f39]) ).
fof(f766,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f282,f73]) ).
fof(f767,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f282,f71]) ).
fof(f768,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f282,f69]) ).
fof(f769,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_2,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f282,f76]) ).
fof(f770,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f282,f41]) ).
fof(f771,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(X0,e_2,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f282,f39]) ).
fof(f772,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f282,f39]) ).
fof(f773,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f279,f73]) ).
fof(f774,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f279,f71]) ).
fof(f775,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f279,f69]) ).
fof(f776,plain,
! [X0] :
( ~ sQ48_spl
| product(X0,e_2,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f279,f76]) ).
fof(f777,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f279,f41]) ).
fof(f778,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(X0,e_2,e_4)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f279,f39]) ).
fof(f779,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f279,f39]) ).
fof(f780,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f73]) ).
fof(f781,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f276,f71]) ).
fof(f782,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f276,f69]) ).
fof(f783,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_2,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f276,f76]) ).
fof(f784,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f276,f41]) ).
fof(f785,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(X0,e_2,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f276,f39]) ).
fof(f787,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f273,f73]) ).
fof(f788,plain,
( ~ sQ46_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f273,f104]) ).
fof(f789,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f273,f71]) ).
fof(f790,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f273,f69]) ).
fof(f791,plain,
( ~ sQ46_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f273,f81]) ).
fof(f792,plain,
! [X0] :
( ~ sQ46_spl
| product(X0,e_2,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f273,f76]) ).
fof(f793,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(X0,e_2,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f273,f41]) ).
fof(f794,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(X0,e_2,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f273,f39]) ).
fof(f795,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f273,f39]) ).
fof(f796,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f788,f47]) ).
fof(f797,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f796]) ).
fof(f798,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f270,f73]) ).
fof(f799,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f270,f71]) ).
fof(f800,plain,
( ~ sQ45_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f270,f102]) ).
fof(f801,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f270,f69]) ).
fof(f802,plain,
( ~ sQ45_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f270,f83]) ).
fof(f803,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f270,f76]) ).
fof(f804,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f270,f41]) ).
fof(f805,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(X0,e_2,e_1)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f270,f39]) ).
fof(f806,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f270,f39]) ).
fof(f807,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f800,f51]) ).
fof(f808,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f807]) ).
fof(f809,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f758,f714]) ).
fof(f810,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f758,f73]) ).
fof(f811,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f758,f71]) ).
fof(f812,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f758,f102]) ).
fof(f813,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f758,f69]) ).
fof(f814,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f758,f83]) ).
fof(f815,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ18_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f758,f76]) ).
fof(f816,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ18_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f758,f41]) ).
fof(f817,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ18_spl
| ~ product(X0,e_4,e_3)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f758,f39]) ).
fof(f818,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ18_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f758,f39]) ).
fof(f819,plain,
( ~ sQ6_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f812,f61]) ).
fof(f820,plain,
( ~ sQ6_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f819]) ).
fof(f821,plain,
( ~ sQ5_spl
| ~ sQ23_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f403,f130]) ).
fof(f822,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f821,f73]) ).
fof(f823,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f821,f71]) ).
fof(f824,plain,
( ~ sQ5_spl
| ~ sQ23_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f821,f102]) ).
fof(f825,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f821,f69]) ).
fof(f826,plain,
( ~ sQ5_spl
| ~ sQ23_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f821,f83]) ).
fof(f827,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f821,f76]) ).
fof(f828,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f821,f41]) ).
fof(f829,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| ~ product(X0,e_4,e_3)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f821,f39]) ).
fof(f830,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f821,f39]) ).
fof(f831,plain,
( ~ sQ5_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f61]) ).
fof(f832,plain,
( ~ sQ5_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f831]) ).
fof(f833,plain,
( ~ sQ44_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f266,f106]) ).
fof(f834,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f266,f73]) ).
fof(f835,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f71]) ).
fof(f836,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f266,f69]) ).
fof(f837,plain,
( ~ sQ44_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f266,f79]) ).
fof(f838,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_2,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f266,f76]) ).
fof(f839,plain,
( ~ sQ44_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f266,f77]) ).
fof(f840,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f41]) ).
fof(f841,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(X0,e_2,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f266,f39]) ).
fof(f842,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(e_2,X0,e_2)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f266,f39]) ).
fof(f843,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f833,f64]) ).
fof(f844,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( ~ sQ43_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f263,f106]) ).
fof(f846,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f263,f73]) ).
fof(f847,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f263,f71]) ).
fof(f848,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f263,f69]) ).
fof(f849,plain,
( ~ sQ43_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f263,f79]) ).
fof(f850,plain,
! [X0] :
( ~ sQ43_spl
| product(X0,e_2,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f263,f76]) ).
fof(f851,plain,
( ~ sQ43_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f263,f77]) ).
fof(f852,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f263,f41]) ).
fof(f853,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(X0,e_2,e_4)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f263,f39]) ).
fof(f854,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_2,X0,e_2)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f263,f39]) ).
fof(f855,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f845,f60]) ).
fof(f856,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f855]) ).
fof(f857,plain,
( ~ sQ42_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f260,f106]) ).
fof(f858,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f260,f73]) ).
fof(f859,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f71]) ).
fof(f860,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f69]) ).
fof(f861,plain,
( ~ sQ42_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f260,f79]) ).
fof(f862,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_2,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f260,f76]) ).
fof(f863,plain,
( ~ sQ42_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f260,f77]) ).
fof(f864,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f41]) ).
fof(f865,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(X0,e_2,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f260,f39]) ).
fof(f866,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,X0,e_2)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f260,f39]) ).
fof(f867,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f857,f56]) ).
fof(f868,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f867]) ).
fof(f869,plain,
( ~ sQ40_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f254,f106]) ).
fof(f870,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f254,f73]) ).
fof(f871,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f254,f71]) ).
fof(f872,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f254,f69]) ).
fof(f873,plain,
( ~ sQ40_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f254,f79]) ).
fof(f874,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_2,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f254,f76]) ).
fof(f875,plain,
( ~ sQ40_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f254,f77]) ).
fof(f876,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f254,f41]) ).
fof(f877,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(X0,e_2,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f254,f39]) ).
fof(f878,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(e_2,X0,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f254,f39]) ).
fof(f879,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f869,f47]) ).
fof(f880,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f879]) ).
fof(f881,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f250,f73]) ).
fof(f882,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f250,f71]) ).
fof(f883,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f250,f69]) ).
fof(f884,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f250,f76]) ).
fof(f885,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f250,f41]) ).
fof(f886,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_2,e_5)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f250,f39]) ).
fof(f887,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f250,f39]) ).
fof(f888,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f247,f73]) ).
fof(f889,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f247,f71]) ).
fof(f890,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f69]) ).
fof(f891,plain,
! [X0] :
( ~ sQ38_spl
| product(X0,e_2,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f247,f76]) ).
fof(f892,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f247,f41]) ).
fof(f893,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(X0,e_2,e_4)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f247,f39]) ).
fof(f895,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f244,f73]) ).
fof(f896,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f244,f71]) ).
fof(f897,plain,
( ~ sQ37_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f244,f102]) ).
fof(f898,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f244,f69]) ).
fof(f899,plain,
( ~ sQ37_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f244,f83]) ).
fof(f900,plain,
! [X0] :
( ~ sQ37_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f244,f76]) ).
fof(f901,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f244,f41]) ).
fof(f902,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(X0,e_2,e_3)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f244,f39]) ).
fof(f903,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f244,f39]) ).
fof(f904,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f897,f52]) ).
fof(f905,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f904]) ).
fof(f906,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f241,f73]) ).
fof(f907,plain,
( ~ sQ36_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f241,f104]) ).
fof(f908,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f241,f71]) ).
fof(f909,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f241,f69]) ).
fof(f910,plain,
( ~ sQ36_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f241,f81]) ).
fof(f911,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_2,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f241,f76]) ).
fof(f912,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(X0,e_2,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f241,f41]) ).
fof(f913,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(X0,e_2,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f241,f39]) ).
fof(f914,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f241,f39]) ).
fof(f915,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f907,f56]) ).
fof(f916,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f915]) ).
fof(f917,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f238,f73]) ).
fof(f918,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f238,f71]) ).
fof(f919,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f238,f69]) ).
fof(f920,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_2,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f238,f76]) ).
fof(f921,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f238,f41]) ).
fof(f922,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(X0,e_2,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f238,f39]) ).
fof(f923,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f238,f39]) ).
fof(f924,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f234,f73]) ).
fof(f925,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f234,f71]) ).
fof(f926,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f234,f69]) ).
fof(f927,plain,
! [X0] :
( ~ sQ34_spl
| product(X0,e_2,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f234,f76]) ).
fof(f928,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f234,f41]) ).
fof(f929,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(X0,e_2,e_5)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f234,f39]) ).
fof(f930,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f234,f39]) ).
fof(f931,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f231,f73]) ).
fof(f932,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f231,f71]) ).
fof(f933,plain,
( ~ sQ33_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f102]) ).
fof(f934,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f231,f69]) ).
fof(f935,plain,
( ~ sQ33_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f231,f83]) ).
fof(f936,plain,
! [X0] :
( ~ sQ33_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f231,f76]) ).
fof(f937,plain,
! [X0] :
( ~ sQ33_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f231,f41]) ).
fof(f938,plain,
! [X0] :
( ~ sQ33_spl
| ~ product(X0,e_2,e_4)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f231,f39]) ).
fof(f939,plain,
! [X0] :
( ~ sQ33_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f39]) ).
fof(f940,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f933,f53]) ).
fof(f941,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f940]) ).
fof(f942,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f228,f73]) ).
fof(f943,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f228,f71]) ).
fof(f944,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f228,f69]) ).
fof(f945,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_2,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f228,f76]) ).
fof(f946,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f228,f41]) ).
fof(f947,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(X0,e_2,e_3)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f228,f39]) ).
fof(f948,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f228,f39]) ).
fof(f949,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f783,f238]) ).
fof(f950,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f949,f164,f275,f237]) ).
fof(f951,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f225,f73]) ).
fof(f952,plain,
( ~ sQ31_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f225,f104]) ).
fof(f953,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f225,f71]) ).
fof(f954,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f225,f69]) ).
fof(f955,plain,
( ~ sQ31_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f225,f81]) ).
fof(f956,plain,
! [X0] :
( ~ sQ31_spl
| product(X0,e_2,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f225,f76]) ).
fof(f957,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(X0,e_2,e_2)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f225,f41]) ).
fof(f958,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(X0,e_2,e_2)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f225,f39]) ).
fof(f959,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f225,f39]) ).
fof(f960,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f952,f60]) ).
fof(f961,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f962,plain,
( ~ sQ48_spl
| ~ sQ30_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f222,f776]) ).
fof(f963,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f222,f73]) ).
fof(f964,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f222,f71]) ).
fof(f965,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f222,f69]) ).
fof(f966,plain,
! [X0] :
( ~ sQ30_spl
| product(X0,e_2,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f222,f76]) ).
fof(f967,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f222,f41]) ).
fof(f968,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(X0,e_2,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f222,f39]) ).
fof(f969,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f222,f39]) ).
fof(f970,plain,
( ~ sQ74_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f367,f106]) ).
fof(f971,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f367,f73]) ).
fof(f972,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f367,f71]) ).
fof(f973,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f367,f69]) ).
fof(f974,plain,
( ~ sQ74_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f367,f79]) ).
fof(f975,plain,
! [X0] :
( ~ sQ74_spl
| product(X0,e_1,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f367,f76]) ).
fof(f976,plain,
( ~ sQ74_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f367,f77]) ).
fof(f977,plain,
! [X0] :
( ~ sQ74_spl
| ~ product(X0,e_1,e_5)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f367,f41]) ).
fof(f978,plain,
! [X0] :
( ~ sQ74_spl
| ~ product(X0,e_1,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f367,f39]) ).
fof(f979,plain,
! [X0] :
( ~ sQ74_spl
| ~ product(e_1,X0,e_1)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f367,f39]) ).
fof(f980,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f970,f63]) ).
fof(f981,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f982,plain,
( ~ sQ73_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f364,f106]) ).
fof(f983,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f364,f73]) ).
fof(f984,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f364,f71]) ).
fof(f985,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f364,f69]) ).
fof(f986,plain,
( ~ sQ73_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f364,f79]) ).
fof(f987,plain,
! [X0] :
( ~ sQ73_spl
| product(X0,e_1,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f364,f76]) ).
fof(f988,plain,
( ~ sQ73_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f364,f77]) ).
fof(f989,plain,
! [X0] :
( ~ sQ73_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f364,f41]) ).
fof(f990,plain,
! [X0] :
( ~ sQ73_spl
| ~ product(X0,e_1,e_4)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f364,f39]) ).
fof(f991,plain,
! [X0] :
( ~ sQ73_spl
| ~ product(e_1,X0,e_1)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f364,f39]) ).
fof(f992,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f982,f59]) ).
fof(f993,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f992]) ).
fof(f994,plain,
( ~ sQ24_spl
| ~ sQ72_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f361,f199]) ).
fof(f995,plain,
( ~ sQ72_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f361,f106]) ).
fof(f996,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f361,f73]) ).
fof(f997,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f361,f71]) ).
fof(f998,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f361,f69]) ).
fof(f999,plain,
( ~ sQ72_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f361,f79]) ).
fof(f1000,plain,
! [X0] :
( ~ sQ72_spl
| product(X0,e_1,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f361,f76]) ).
fof(f1001,plain,
( ~ sQ72_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f361,f77]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ72_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f361,f41]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ72_spl
| ~ product(X0,e_1,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f361,f39]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ72_spl
| ~ product(e_1,X0,e_1)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f361,f39]) ).
fof(f1005,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f995,f55]) ).
fof(f1006,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1005]) ).
fof(f1007,plain,
( ~ sQ48_spl
| ~ sQ71_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f358,f779]) ).
fof(f1008,plain,
( ~ sQ49_spl
| ~ sQ71_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f358,f772]) ).
fof(f1009,plain,
( ~ sQ71_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f358,f106]) ).
fof(f1010,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f358,f73]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f358,f71]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f358,f69]) ).
fof(f1013,plain,
( ~ sQ71_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f358,f79]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ71_spl
| product(X0,e_1,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f358,f76]) ).
fof(f1015,plain,
( ~ sQ71_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f358,f77]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ71_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f358,f41]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ71_spl
| ~ product(X0,e_1,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f358,f39]) ).
fof(f1018,plain,
! [X0] :
( ~ sQ71_spl
| ~ product(e_1,X0,e_1)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f358,f39]) ).
fof(f1019,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1009,f51]) ).
fof(f1020,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f1019]) ).
fof(f1022,plain,
( ~ sQ48_spl
| ~ sQ30_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f962,f777]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f962,f73]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f962,f71]) ).
fof(f1025,plain,
( ~ sQ48_spl
| ~ sQ30_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f962,f102]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f962,f69]) ).
fof(f1027,plain,
( ~ sQ48_spl
| ~ sQ30_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f962,f83]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ30_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f962,f76]) ).
fof(f1029,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ30_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f962,f41]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ30_spl
| ~ product(X0,e_4,e_2)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f962,f39]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ30_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f962,f39]) ).
fof(f1032,plain,
( ~ sQ48_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f60]) ).
fof(f1033,plain,
( ~ sQ48_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1032]) ).
fof(f1034,plain,
( ~ sQ32_spl
| ~ sQ38_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f891,f228]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f351,f73]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f351,f71]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f351,f69]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ69_spl
| product(X0,e_1,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f351,f76]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ69_spl
| ~ product(X0,e_1,e_5)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f351,f41]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ69_spl
| ~ product(X0,e_1,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f351,f39]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ69_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f351,f39]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f348,f73]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f348,f71]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f348,f69]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ68_spl
| product(X0,e_1,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f348,f76]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f348,f41]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(X0,e_1,e_4)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f348,f39]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f348,f39]) ).
fof(f1049,plain,
( ~ sQ24_spl
| ~ sQ67_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f345,f199]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f345,f73]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f345,f71]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f345,f69]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ67_spl
| product(X0,e_1,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f345,f76]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ67_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f345,f41]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ67_spl
| ~ product(X0,e_1,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f345,f39]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ67_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f345,f39]) ).
fof(f1057,plain,
( ~ sQ49_spl
| ~ sQ66_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f342,f772]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f342,f73]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f342,f71]) ).
fof(f1060,plain,
( ~ sQ66_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f342,f102]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f342,f69]) ).
fof(f1062,plain,
( ~ sQ66_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f342,f83]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ66_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f342,f76]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ66_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f342,f41]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ66_spl
| ~ product(X0,e_1,e_2)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f342,f39]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ66_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f342,f39]) ).
fof(f1067,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f47]) ).
fof(f1068,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f339,f73]) ).
fof(f1070,plain,
( ~ sQ65_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f339,f104]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f339,f71]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f339,f69]) ).
fof(f1073,plain,
( ~ sQ65_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f339,f81]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ65_spl
| product(X0,e_1,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f339,f76]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ65_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f339,f41]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ65_spl
| ~ product(X0,e_1,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f339,f39]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ65_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f339,f39]) ).
fof(f1078,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1070,f51]) ).
fof(f1079,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f335,f73]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f335,f71]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f335,f69]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ64_spl
| product(X0,e_1,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f335,f76]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(X0,e_1,e_5)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f335,f41]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(X0,e_1,e_5)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f335,f39]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f335,f39]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1034,f73]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1034,f71]) ).
fof(f1091,plain,
( ~ sQ32_spl
| ~ sQ38_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1034,f102]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1034,f69]) ).
fof(f1093,plain,
( ~ sQ32_spl
| ~ sQ38_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f1034,f83]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ38_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1034,f76]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ38_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1034,f41]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ38_spl
| ~ product(X0,e_4,e_2)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1034,f39]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ38_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1034,f39]) ).
fof(f1099,plain,
( ~ sQ32_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1091,f60]) ).
fof(f1100,plain,
( ~ sQ32_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1099]) ).
fof(f1101,plain,
( ~ sQ24_spl
| ~ sQ67_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1049,f198]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1049,f73]) ).
fof(f1104,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1049,f71]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1049,f69]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1049,f76]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1049,f41]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| ~ product(X0,e_5,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1049,f39]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| ~ product(e_5,X0,e_3)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1049,f39]) ).
fof(f1110,plain,
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f1101,f769]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1101,f73]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1101,f71]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1101,f69]) ).
fof(f1115,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| product(X0,e_2,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1101,f76]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1101,f41]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| ~ product(X0,e_2,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1101,f39]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ67_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1101,f39]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f332,f73]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f332,f71]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f332,f69]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_1,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f332,f76]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f332,f41]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_1,e_4)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f332,f39]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f332,f39]) ).
fof(f1126,plain,
( ~ sQ24_spl
| ~ sQ62_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f329,f199]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f329,f73]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f329,f71]) ).
fof(f1129,plain,
( ~ sQ62_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f329,f102]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f329,f69]) ).
fof(f1131,plain,
( ~ sQ62_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f329,f83]) ).
fof(f1132,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f329,f76]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f329,f41]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(X0,e_1,e_3)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f329,f39]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f329,f39]) ).
fof(f1136,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1129,f48]) ).
fof(f1137,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f1136]) ).
fof(f1138,plain,
( ~ sQ49_spl
| ~ sQ61_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f326,f772]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f326,f73]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f326,f71]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f326,f69]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ61_spl
| product(X0,e_1,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f326,f76]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f326,f41]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(X0,e_1,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f326,f39]) ).
fof(f1145,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f326,f39]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f323,f73]) ).
fof(f1147,plain,
( ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f323,f104]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f323,f71]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f323,f69]) ).
fof(f1150,plain,
( ~ sQ60_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f323,f81]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ60_spl
| product(X0,e_1,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f323,f76]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f323,f41]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(X0,e_1,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f323,f39]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f323,f39]) ).
fof(f1155,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1147,f55]) ).
fof(f1156,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1155]) ).
fof(f1157,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f319,f73]) ).
fof(f1158,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f319,f71]) ).
fof(f1159,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f319,f69]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f319,f76]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(X0,e_1,e_5)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f319,f41]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(X0,e_1,e_5)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f319,f39]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f319,f39]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f316,f73]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f316,f71]) ).
fof(f1166,plain,
( ~ sQ58_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f316,f102]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f316,f69]) ).
fof(f1168,plain,
( ~ sQ58_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f316,f83]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ58_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f316,f76]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f316,f41]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(X0,e_1,e_4)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f316,f39]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f316,f39]) ).
fof(f1173,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1166,f49]) ).
fof(f1174,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1173]) ).
fof(f1175,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1110,f929]) ).
fof(f1176,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1110,f928]) ).
fof(f1177,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f1110,f886]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1110,f73]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1110,f71]) ).
fof(f1183,plain,
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1110,f102]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1110,f69]) ).
fof(f1185,plain,
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f1110,f83]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1110,f76]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1110,f41]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| ~ product(X0,e_5,e_2)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1110,f39]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1110,f39]) ).
fof(f1192,plain,
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1183,f64]) ).
fof(f1193,plain,
( ~ sQ49_spl
| ~ sQ24_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f1192]) ).
fof(f1194,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ61_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1138,f929]) ).
fof(f1195,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ61_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1138,f928]) ).
fof(f1196,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| ~ sQ61_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1138,f886]) ).
fof(f1197,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| ~ sQ61_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1138,f885]) ).
fof(f1198,plain,
( ~ sQ49_spl
| ~ sQ61_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1138,f771]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1138,f73]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1138,f71]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ61_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1138,f69]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ61_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1138,f76]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ61_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1138,f41]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ61_spl
| ~ product(X0,e_5,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1138,f39]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ61_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1138,f39]) ).
fof(f1207,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| ~ sQ61_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1197,f148,f325,f281,f249]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f313,f73]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f313,f71]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f313,f69]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_1,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f313,f76]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f313,f41]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(X0,e_1,e_3)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f313,f39]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f313,f39]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f310,f73]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f310,f71]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f310,f69]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_1,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f310,f76]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f310,f41]) ).
fof(f1220,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(X0,e_1,e_2)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f310,f39]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f310,f39]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f307,f73]) ).
fof(f1223,plain,
( ~ sQ55_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f307,f104]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f307,f71]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f307,f69]) ).
fof(f1226,plain,
( ~ sQ55_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f307,f81]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_1,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f307,f76]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f307,f41]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(X0,e_1,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f307,f39]) ).
fof(f1230,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f307,f39]) ).
fof(f1231,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1223,f59]) ).
fof(f1232,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f1231]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f114,f73]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f114,f71]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f114,f69]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ0_spl
| product(X0,e_3,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f114,f76]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f114,f41]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_3,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f114,f39]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f114,f39]) ).
fof(f1240,plain,
( ~ sQ69_spl
| ~ sQ1_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f117,f1038]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f117,f73]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f117,f71]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f117,f69]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ1_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f117,f76]) ).
fof(f1245,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f117,f41]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(X0,e_3,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f117,f39]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f117,f39]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f120,f73]) ).
fof(f1249,plain,
( ~ sQ2_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f120,f104]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f120,f71]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f120,f69]) ).
fof(f1252,plain,
( ~ sQ2_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f120,f81]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ2_spl
| product(X0,e_3,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f120,f76]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f120,f41]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(X0,e_3,e_3)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f120,f39]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f120,f39]) ).
fof(f1257,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1249,f65]) ).
fof(f1258,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f1257]) ).
fof(f1260,plain,
( ~ sQ69_spl
| ~ sQ1_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1240,f1039]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1240,f73]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1240,f71]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1240,f69]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1240,f76]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1240,f41]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(X0,e_5,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1240,f39]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1240,f39]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1260,f73]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1260,f71]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1260,f69]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| product(X0,e_2,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1260,f76]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1260,f41]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(X0,e_2,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1260,f39]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1260,f39]) ).
fof(f1277,plain,
( ~ sQ56_spl
| ~ sQ68_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1045,f310]) ).
fof(f1278,plain,
( ~ sQ34_spl
| ~ sQ3_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f123,f927]) ).
fof(f1279,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f123,f73]) ).
fof(f1280,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f123,f71]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f123,f69]) ).
fof(f1282,plain,
! [X0] :
( ~ sQ3_spl
| product(X0,e_3,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f123,f76]) ).
fof(f1283,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f123,f41]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(X0,e_3,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f123,f39]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f123,f39]) ).
fof(f1286,plain,
( ~ sQ69_spl
| ~ sQ25_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f206,f1041]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f206,f73]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f206,f71]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f206,f69]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ25_spl
| product(X0,e_2,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f206,f76]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f206,f41]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(X0,e_2,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f206,f39]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f206,f39]) ).
fof(f1294,plain,
( ~ sQ69_spl
| ~ sQ26_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f209,f1038]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f209,f73]) ).
fof(f1296,plain,
( ~ sQ26_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f209,f104]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f209,f71]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f209,f69]) ).
fof(f1299,plain,
( ~ sQ26_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f209,f81]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_2,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f209,f76]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(X0,e_2,e_2)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f209,f41]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(X0,e_2,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f209,f39]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f209,f39]) ).
fof(f1304,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1296,f64]) ).
fof(f1305,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f1304]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f212,f73]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f212,f71]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f212,f69]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_2,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f212,f76]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f212,f41]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_2,e_3)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f212,f39]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f212,f39]) ).
fof(f1313,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f215,f927]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f215,f73]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f215,f71]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f215,f69]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ28_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f215,f76]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f215,f41]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(X0,e_2,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f215,f39]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f215,f39]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f291,f73]) ).
fof(f1322,plain,
( ~ sQ50_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f291,f104]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f291,f71]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f291,f69]) ).
fof(f1325,plain,
( ~ sQ50_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f291,f81]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ50_spl
| product(X0,e_1,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f291,f76]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f291,f41]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(X0,e_1,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f291,f39]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_1,X0,e_5)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f291,f39]) ).
fof(f1330,plain,
( ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1322,f63]) ).
fof(f1331,plain,
~ sQ50_spl,
inference(contradiction_clause,[status(thm)],[f1330]) ).
fof(f1333,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1277,f73]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1277,f71]) ).
fof(f1335,plain,
( ~ sQ56_spl
| ~ sQ68_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1277,f102]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1277,f69]) ).
fof(f1337,plain,
( ~ sQ56_spl
| ~ sQ68_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1277,f83]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ68_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1277,f76]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ68_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1277,f41]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ68_spl
| ~ product(X0,e_4,e_1)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1277,f39]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ68_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1277,f39]) ).
fof(f1343,plain,
( ~ sQ56_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1335,f59]) ).
fof(f1344,plain,
( ~ sQ56_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f1343]) ).
fof(f1345,plain,
( ~ sQ27_spl
| ~ sQ64_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1083,f212]) ).
fof(f1347,plain,
( ~ sQ34_spl
| ~ sQ3_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1278,f928]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1278,f73]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1278,f71]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1278,f69]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1278,f76]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1278,f41]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(X0,e_5,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1278,f39]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1278,f39]) ).
fof(f1356,plain,
( ~ sQ69_spl
| ~ sQ25_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f1286,f1040]) ).
fof(f1357,plain,
( ~ sQ69_spl
| ~ sQ25_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1286,f1039]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ25_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1286,f73]) ).
fof(f1359,plain,
( ~ sQ69_spl
| ~ sQ25_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1286,f104]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1286,f71]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ25_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1286,f69]) ).
fof(f1362,plain,
( ~ sQ69_spl
| ~ sQ25_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f1286,f81]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ25_spl
| product(X0,e_5,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1286,f76]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ25_spl
| ~ product(X0,e_5,e_5)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1286,f41]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ25_spl
| ~ product(X0,e_5,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1286,f39]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ25_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f1286,f39]) ).
fof(f1369,plain,
( ~ sQ69_spl
| ~ sQ1_spl
| ~ sQ64_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1084,f1240]) ).
fof(f1370,plain,
( ~ sQ69_spl
| ~ sQ1_spl
| ~ sQ64_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1369,f145,f334,f116,f350]) ).
fof(f1371,plain,
( ~ sQ57_spl
| ~ sQ63_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1122,f313]) ).
fof(f1372,plain,
( ~ sQ69_spl
| ~ sQ51_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f294,f1038]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f294,f73]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f294,f71]) ).
fof(f1375,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f294,f69]) ).
fof(f1376,plain,
! [X0] :
( ~ sQ51_spl
| product(X0,e_1,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f294,f76]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f294,f41]) ).
fof(f1378,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(X0,e_1,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f294,f39]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(e_1,X0,e_5)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f294,f39]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f297,f73]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f297,f71]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f297,f69]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ52_spl
| product(X0,e_1,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f297,f76]) ).
fof(f1384,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f297,f41]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(X0,e_1,e_3)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f297,f39]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(e_1,X0,e_5)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f297,f39]) ).
fof(f1387,plain,
( ~ sQ34_spl
| ~ sQ53_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f300,f927]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f300,f73]) ).
fof(f1389,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f300,f71]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f300,f69]) ).
fof(f1391,plain,
! [X0] :
( ~ sQ53_spl
| product(X0,e_1,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f300,f76]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f300,f41]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(X0,e_1,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f300,f39]) ).
fof(f1394,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_1,X0,e_5)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f300,f39]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f507,f73]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f507,f71]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f507,f69]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ99_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f507,f76]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f507,f41]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(X0,e_4,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f507,f39]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(e_4,X0,e_5)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f507,f39]) ).
fof(f1402,plain,
( ~ sQ98_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f504,f106]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f504,f73]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f504,f71]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f504,f69]) ).
fof(f1406,plain,
( ~ sQ98_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f504,f79]) ).
fof(f1407,plain,
! [X0] :
( ~ sQ98_spl
| product(X0,e_4,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f504,f76]) ).
fof(f1408,plain,
( ~ sQ98_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f504,f77]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ98_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f504,f41]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ98_spl
| ~ product(X0,e_4,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f504,f39]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ98_spl
| ~ product(e_4,X0,e_4)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f504,f39]) ).
fof(f1412,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1402,f49]) ).
fof(f1413,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f1412]) ).
fof(f1415,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1313,f928]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1313,f73]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1313,f71]) ).
fof(f1418,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1313,f102]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ28_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1313,f69]) ).
fof(f1420,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f1313,f83]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ28_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1313,f76]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ28_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1313,f41]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ28_spl
| ~ product(X0,e_5,e_2)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1313,f39]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ28_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1313,f39]) ).
fof(f1425,plain,
( ~ sQ34_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1418,f64]) ).
fof(f1426,plain,
( ~ sQ34_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1347,f73]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1347,f71]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1347,f69]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| product(X0,e_4,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1347,f76]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1347,f41]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(X0,e_4,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1347,f39]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1347,f39]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1371,f73]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1371,f71]) ).
fof(f1438,plain,
( ~ sQ57_spl
| ~ sQ63_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1371,f102]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1371,f69]) ).
fof(f1440,plain,
( ~ sQ57_spl
| ~ sQ63_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1371,f83]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ63_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1371,f76]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ63_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1371,f41]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ63_spl
| ~ product(X0,e_4,e_1)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1371,f39]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ63_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1371,f39]) ).
fof(f1446,plain,
( ~ sQ57_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1438,f59]) ).
fof(f1447,plain,
( ~ sQ57_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1446]) ).
fof(f1448,plain,
( ~ sQ34_spl
| ~ sQ3_spl
| ~ sQ61_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f1142,f1278]) ).
fof(f1449,plain,
( ~ sQ34_spl
| ~ sQ3_spl
| ~ sQ61_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1448,f281,f325,f122,f233]) ).
fof(f1450,plain,
( ~ sQ69_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1359,f50]) ).
fof(f1451,plain,
( ~ sQ69_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1450]) ).
fof(f1452,plain,
( ~ sQ53_spl
| ~ sQ59_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f1160,f300]) ).
fof(f1453,plain,
( ~ sQ3_spl
| ~ sQ59_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1160,f123]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f501,f73]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f501,f71]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f501,f69]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ97_spl
| product(X0,e_4,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f501,f76]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ97_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f501,f41]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ97_spl
| ~ product(X0,e_4,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f501,f39]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ97_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f501,f39]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f498,f73]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f498,f71]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f498,f69]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ96_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f498,f76]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f498,f41]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(X0,e_4,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f498,f39]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f498,f39]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f495,f73]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f495,f71]) ).
fof(f1470,plain,
( ~ sQ95_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f495,f102]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f495,f69]) ).
fof(f1472,plain,
( ~ sQ95_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f495,f83]) ).
fof(f1473,plain,
! [X0] :
( ~ sQ95_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f495,f76]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ95_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f495,f41]) ).
fof(f1475,plain,
! [X0] :
( ~ sQ95_spl
| ~ product(X0,e_4,e_1)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f495,f39]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ95_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f495,f39]) ).
fof(f1477,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1470,f59]) ).
fof(f1478,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1477]) ).
fof(f1479,plain,
( ~ sQ34_spl
| ~ sQ94_spl
| product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f491,f930]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f491,f73]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f491,f71]) ).
fof(f1482,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f491,f69]) ).
fof(f1483,plain,
! [X0] :
( ~ sQ94_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f491,f76]) ).
fof(f1484,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f491,f41]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(X0,e_4,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f491,f39]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(e_4,X0,e_5)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f491,f39]) ).
fof(f1487,plain,
( ~ sQ34_spl
| ~ sQ93_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f488,f930]) ).
fof(f1488,plain,
( ~ sQ93_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f488,f106]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f488,f73]) ).
fof(f1490,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f488,f71]) ).
fof(f1491,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f488,f69]) ).
fof(f1492,plain,
( ~ sQ93_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f488,f79]) ).
fof(f1493,plain,
! [X0] :
( ~ sQ93_spl
| product(X0,e_4,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f488,f76]) ).
fof(f1494,plain,
( ~ sQ93_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f488,f77]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ93_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f488,f41]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ93_spl
| ~ product(X0,e_4,e_2)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f488,f39]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ93_spl
| ~ product(e_4,X0,e_4)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f488,f39]) ).
fof(f1498,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1488,f53]) ).
fof(f1499,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1501,plain,
( ~ sQ34_spl
| ~ sQ53_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1387,f928]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ53_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1387,f73]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1387,f71]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1387,f69]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ53_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1387,f76]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ53_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1387,f41]) ).
fof(f1507,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ53_spl
| ~ product(X0,e_5,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1387,f39]) ).
fof(f1508,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ53_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1387,f39]) ).
fof(f1509,plain,
( ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1345,f1161]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1345,f73]) ).
fof(f1511,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1345,f71]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1345,f69]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| product(X0,e_5,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1345,f76]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1345,f41]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_5,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1345,f39]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1345,f39]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1452,f73]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1452,f71]) ).
fof(f1520,plain,
( ~ sQ53_spl
| ~ sQ59_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1452,f102]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1452,f69]) ).
fof(f1522,plain,
( ~ sQ53_spl
| ~ sQ59_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1452,f83]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ59_spl
| product(X0,e_5,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1452,f76]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ59_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1452,f41]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ59_spl
| ~ product(X0,e_5,e_1)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1452,f39]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ59_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1452,f39]) ).
fof(f1528,plain,
( ~ sQ53_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1520,f63]) ).
fof(f1529,plain,
( ~ sQ53_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1528]) ).
fof(f1530,plain,
( ~ sQ96_spl
| ~ sQ48_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f777,f498]) ).
fof(f1531,plain,
( ~ sQ96_spl
| ~ sQ48_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1530,f357,f278,f497]) ).
fof(f1532,plain,
( ~ sQ34_spl
| ~ sQ91_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f482,f930]) ).
fof(f1534,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f482,f73]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f482,f71]) ).
fof(f1536,plain,
( ~ sQ91_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f482,f102]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f482,f69]) ).
fof(f1538,plain,
( ~ sQ91_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f482,f83]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ91_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f482,f76]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ91_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f482,f41]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ91_spl
| ~ product(X0,e_4,e_2)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f482,f39]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ91_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f482,f39]) ).
fof(f1544,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1536,f60]) ).
fof(f1545,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f1544]) ).
fof(f1546,plain,
( ~ sQ34_spl
| ~ sQ90_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f479,f930]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f479,f73]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f479,f71]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f479,f69]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ90_spl
| product(X0,e_4,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f479,f76]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ90_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f479,f41]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ90_spl
| ~ product(X0,e_4,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f479,f39]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ90_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f479,f39]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f475,f73]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f475,f71]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f475,f69]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ89_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f475,f76]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ89_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f475,f41]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ89_spl
| ~ product(X0,e_4,e_3)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f475,f39]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ89_spl
| ~ product(e_4,X0,e_5)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f475,f39]) ).
fof(f1561,plain,
( ~ sQ88_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f472,f106]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f472,f73]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f472,f71]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f472,f69]) ).
fof(f1565,plain,
( ~ sQ88_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f472,f79]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ88_spl
| product(X0,e_4,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f472,f76]) ).
fof(f1567,plain,
( ~ sQ88_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f472,f77]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ88_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f472,f41]) ).
fof(f1569,plain,
! [X0] :
( ~ sQ88_spl
| ~ product(X0,e_4,e_3)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f472,f39]) ).
fof(f1570,plain,
! [X0] :
( ~ sQ88_spl
| ~ product(e_4,X0,e_4)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f472,f39]) ).
fof(f1571,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1561,f57]) ).
fof(f1572,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f1571]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f469,f73]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f469,f71]) ).
fof(f1575,plain,
( ~ sQ87_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f469,f102]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f469,f69]) ).
fof(f1577,plain,
( ~ sQ87_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f469,f83]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ87_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f469,f76]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ87_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f469,f41]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ87_spl
| ~ product(X0,e_4,e_3)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f469,f39]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ87_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f469,f39]) ).
fof(f1582,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1575,f61]) ).
fof(f1583,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1582]) ).
fof(f1584,plain,
( ~ sQ48_spl
| ~ sQ86_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f466,f777]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f466,f73]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f466,f71]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f466,f69]) ).
fof(f1588,plain,
! [X0] :
( ~ sQ86_spl
| product(X0,e_4,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f466,f76]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f466,f41]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(X0,e_4,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f466,f39]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f466,f39]) ).
fof(f1592,plain,
( ~ sQ48_spl
| ~ sQ86_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1584,f325,f465,f278]) ).
fof(f1594,plain,
( ~ sQ86_spl
| ~ sQ48_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f778,f466]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1594,f73]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1594,f71]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ48_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1594,f69]) ).
fof(f1599,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ48_spl
| product(X0,e_3,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1594,f76]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ48_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1594,f41]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ48_spl
| ~ product(X0,e_3,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1594,f39]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ48_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1594,f39]) ).
fof(f1604,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f779,f294]) ).
fof(f1605,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f463,f920]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f463,f73]) ).
fof(f1607,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f463,f71]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f463,f69]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ85_spl
| product(X0,e_4,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f463,f76]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f463,f41]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(X0,e_4,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f463,f39]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f463,f39]) ).
fof(f1613,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f1605,f347,f462,f237]) ).
fof(f1614,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f459,f73]) ).
fof(f1615,plain,
( ~ sQ84_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f459,f104]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f459,f71]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f69]) ).
fof(f1618,plain,
( ~ sQ84_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f459,f81]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ84_spl
| product(X0,e_4,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f459,f76]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ84_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f459,f41]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ84_spl
| ~ product(X0,e_4,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f459,f39]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ84_spl
| ~ product(e_4,X0,e_5)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f459,f39]) ).
fof(f1623,plain,
( ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1615,f66]) ).
fof(f1624,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f453,f73]) ).
fof(f1626,plain,
( ~ sQ82_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f453,f104]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f453,f71]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f453,f69]) ).
fof(f1629,plain,
( ~ sQ82_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f453,f81]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ82_spl
| product(X0,e_4,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f453,f76]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f453,f41]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(X0,e_4,e_4)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f453,f39]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f453,f39]) ).
fof(f1634,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1626,f57]) ).
fof(f1635,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f1634]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f450,f73]) ).
fof(f1639,plain,
( ~ sQ81_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f450,f104]) ).
fof(f1640,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f450,f71]) ).
fof(f1641,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f450,f69]) ).
fof(f1642,plain,
( ~ sQ81_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f450,f81]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ81_spl
| product(X0,e_4,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f450,f76]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ81_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f450,f41]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ81_spl
| ~ product(X0,e_4,e_4)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f450,f39]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ81_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f450,f39]) ).
fof(f1649,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1639,f53]) ).
fof(f1650,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1649]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f447,f73]) ).
fof(f1652,plain,
( ~ sQ80_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f447,f104]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f447,f71]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f69]) ).
fof(f1655,plain,
( ~ sQ80_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f447,f81]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ80_spl
| product(X0,e_4,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f447,f76]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ80_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f447,f41]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ80_spl
| ~ product(X0,e_4,e_4)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f447,f39]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ80_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f447,f39]) ).
fof(f1660,plain,
( ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1652,f49]) ).
fof(f1661,plain,
~ sQ80_spl,
inference(contradiction_clause,[status(thm)],[f1660]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f431,f73]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f431,f71]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f69]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ75_spl
| product(X0,e_4,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f431,f76]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f431,f41]) ).
fof(f1667,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(X0,e_4,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f431,f39]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f431,f39]) ).
fof(f1669,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1604,f778]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1604,f73]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1604,f71]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1604,f69]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1604,f76]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1604,f41]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| ~ product(X0,e_4,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1604,f39]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1604,f39]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1669,f73]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1669,f71]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1669,f69]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1669,f76]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1669,f41]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| ~ product(X0,e_5,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1669,f39]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| ~ product(e_5,X0,e_4)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1669,f39]) ).
fof(f1686,plain,
( ~ sQ90_spl
| ~ sQ27_spl
| ~ sQ64_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1512,f479]) ).
fof(f1688,plain,
( ~ sQ90_spl
| ~ sQ27_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1686,f62]) ).
fof(f1689,plain,
( ~ sQ90_spl
| ~ sQ27_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f437,f73]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f437,f71]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f437,f69]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ77_spl
| product(X0,e_4,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f437,f76]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ77_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f437,f41]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ77_spl
| ~ product(X0,e_4,e_5)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f437,f39]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ77_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f437,f39]) ).
fof(f1697,plain,
( ~ sQ78_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f440,f106]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f440,f73]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f440,f71]) ).
fof(f1700,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f440,f69]) ).
fof(f1701,plain,
( ~ sQ78_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f440,f79]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ78_spl
| product(X0,e_4,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f440,f76]) ).
fof(f1703,plain,
( ~ sQ78_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f440,f77]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ78_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f440,f41]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ78_spl
| ~ product(X0,e_4,e_5)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f440,f39]) ).
fof(f1706,plain,
! [X0] :
( ~ sQ78_spl
| ~ product(e_4,X0,e_4)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f440,f39]) ).
fof(f1707,plain,
( ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f66]) ).
fof(f1708,plain,
~ sQ78_spl,
inference(contradiction_clause,[status(thm)],[f1707]) ).
fof(f1709,plain,
( ~ sQ124_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f602,f106]) ).
fof(f1710,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f602,f73]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f602,f71]) ).
fof(f1712,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f602,f69]) ).
fof(f1713,plain,
( ~ sQ124_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f602,f79]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ124_spl
| product(X0,e_5,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f602,f76]) ).
fof(f1715,plain,
( ~ sQ124_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f602,f77]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ124_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f602,f41]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ124_spl
| ~ product(X0,e_5,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f602,f39]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ124_spl
| ~ product(e_5,X0,e_5)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f602,f39]) ).
fof(f1719,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1709,f50]) ).
fof(f1720,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1719]) ).
fof(f1721,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f596,f73]) ).
fof(f1722,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f596,f71]) ).
fof(f1723,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f596,f69]) ).
fof(f1724,plain,
! [X0] :
( ~ sQ122_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f596,f76]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f596,f41]) ).
fof(f1726,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(X0,e_5,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f596,f39]) ).
fof(f1727,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(e_5,X0,e_3)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f596,f39]) ).
fof(f1730,plain,
( ~ sQ0_spl
| ~ sQ86_spl
| ~ sQ48_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1597,f114]) ).
fof(f1731,plain,
( ~ sQ0_spl
| ~ sQ86_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1730,f66]) ).
fof(f1732,plain,
( ~ sQ0_spl
| ~ sQ86_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1731]) ).
fof(f1733,plain,
( sQ5_spl
| ~ sQ86_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f131,f1594]) ).
fof(f1734,plain,
( sQ5_spl
| ~ sQ86_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1733]) ).
fof(f1735,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| ~ sQ86_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1598,f1669]) ).
fof(f1737,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f65]) ).
fof(f1738,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f1737]) ).
fof(f1739,plain,
( ~ sQ77_spl
| ~ sQ3_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f1283,f437]) ).
fof(f1740,plain,
( ~ sQ97_spl
| ~ sQ3_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1283,f501]) ).
fof(f1741,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f593,f73]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f593,f71]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f593,f69]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ121_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f593,f76]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ121_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f593,f41]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ121_spl
| ~ product(X0,e_5,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f593,f39]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ121_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f593,f39]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f590,f73]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f590,f71]) ).
fof(f1750,plain,
( ~ sQ120_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f590,f102]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f590,f69]) ).
fof(f1752,plain,
( ~ sQ120_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f590,f83]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ120_spl
| product(X0,e_5,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f590,f76]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ120_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f590,f41]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ120_spl
| ~ product(X0,e_5,e_1)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f590,f39]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ120_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f590,f39]) ).
fof(f1757,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1750,f63]) ).
fof(f1758,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f1757]) ).
fof(f1759,plain,
( ~ sQ119_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f586,f106]) ).
fof(f1760,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f586,f73]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f586,f71]) ).
fof(f1762,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f586,f69]) ).
fof(f1763,plain,
( ~ sQ119_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f586,f79]) ).
fof(f1764,plain,
! [X0] :
( ~ sQ119_spl
| product(X0,e_5,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f586,f76]) ).
fof(f1765,plain,
( ~ sQ119_spl
| product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f586,f77]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ119_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f586,f41]) ).
fof(f1767,plain,
! [X0] :
( ~ sQ119_spl
| ~ product(X0,e_5,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f586,f39]) ).
fof(f1768,plain,
! [X0] :
( ~ sQ119_spl
| ~ product(e_5,X0,e_5)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f586,f39]) ).
fof(f1769,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1759,f54]) ).
fof(f1770,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f1769]) ).
fof(f1771,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f583,f73]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f583,f71]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f583,f69]) ).
fof(f1774,plain,
! [X0] :
( ~ sQ118_spl
| product(X0,e_5,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f583,f76]) ).
fof(f1775,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f583,f41]) ).
fof(f1776,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(X0,e_5,e_2)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f583,f39]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(e_5,X0,e_4)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f583,f39]) ).
fof(f1778,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f580,f73]) ).
fof(f1779,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f580,f71]) ).
fof(f1780,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f580,f69]) ).
fof(f1781,plain,
! [X0] :
( ~ sQ117_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f580,f76]) ).
fof(f1782,plain,
! [X0] :
( ~ sQ117_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f580,f41]) ).
fof(f1783,plain,
! [X0] :
( ~ sQ117_spl
| ~ product(X0,e_5,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f580,f39]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ117_spl
| ~ product(e_5,X0,e_3)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f580,f39]) ).
fof(f1785,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f577,f73]) ).
fof(f1786,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f577,f71]) ).
fof(f1787,plain,
( ~ sQ116_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f577,f102]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f577,f69]) ).
fof(f1789,plain,
( ~ sQ116_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f577,f83]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ116_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f577,f76]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ116_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f577,f41]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ116_spl
| ~ product(X0,e_5,e_2)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f577,f39]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ116_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f577,f39]) ).
fof(f1794,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1787,f64]) ).
fof(f1795,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1794]) ).
fof(f1796,plain,
( ~ sQ77_spl
| ~ sQ3_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1739,f106]) ).
fof(f1797,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f1739,f73]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1739,f71]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1739,f69]) ).
fof(f1800,plain,
( ~ sQ77_spl
| ~ sQ3_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1739,f79]) ).
fof(f1801,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ3_spl
| product(X0,e_5,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1739,f76]) ).
fof(f1802,plain,
( ~ sQ77_spl
| ~ sQ3_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f1739,f77]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ3_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1739,f41]) ).
fof(f1804,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ3_spl
| ~ product(X0,e_5,e_3)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1739,f39]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ3_spl
| ~ product(e_5,X0,e_5)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1739,f39]) ).
fof(f1806,plain,
( ~ sQ77_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1796,f58]) ).
fof(f1807,plain,
( ~ sQ77_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1806]) ).
fof(f1808,plain,
( ~ sQ97_spl
| ~ sQ3_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1284,f501]) ).
fof(f1809,plain,
( ~ sQ97_spl
| ~ sQ3_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1808,f318,f122,f500]) ).
fof(f1810,plain,
( ~ sQ49_spl
| ~ sQ61_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1198,f113,f325,f281]) ).
fof(f1812,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f1604,f777]) ).
fof(f1813,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1604,f73]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1604,f71]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1604,f69]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1604,f76]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1604,f41]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| ~ product(X0,e_4,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1604,f39]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ48_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1604,f39]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1669,f73]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1669,f71]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1669,f69]) ).
fof(f1824,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1669,f76]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1669,f41]) ).
fof(f1826,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| ~ product(X0,e_5,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1669,f39]) ).
fof(f1827,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| ~ product(e_5,X0,e_4)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1669,f39]) ).
fof(f1828,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f574,f73]) ).
fof(f1829,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f574,f71]) ).
fof(f1830,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f574,f69]) ).
fof(f1831,plain,
! [X0] :
( ~ sQ115_spl
| product(X0,e_5,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f574,f76]) ).
fof(f1832,plain,
! [X0] :
( ~ sQ115_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f574,f41]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ115_spl
| ~ product(X0,e_5,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f574,f39]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ115_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f574,f39]) ).
fof(f1835,plain,
( ~ sQ114_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f570,f106]) ).
fof(f1836,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f570,f73]) ).
fof(f1837,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f570,f71]) ).
fof(f1838,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f570,f69]) ).
fof(f1839,plain,
( ~ sQ114_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f570,f79]) ).
fof(f1840,plain,
! [X0] :
( ~ sQ114_spl
| product(X0,e_5,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f570,f76]) ).
fof(f1841,plain,
( ~ sQ114_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f570,f77]) ).
fof(f1842,plain,
! [X0] :
( ~ sQ114_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f570,f41]) ).
fof(f1843,plain,
! [X0] :
( ~ sQ114_spl
| ~ product(X0,e_5,e_3)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f570,f39]) ).
fof(f1844,plain,
! [X0] :
( ~ sQ114_spl
| ~ product(e_5,X0,e_5)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f570,f39]) ).
fof(f1845,plain,
( ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1835,f58]) ).
fof(f1846,plain,
~ sQ114_spl,
inference(contradiction_clause,[status(thm)],[f1845]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f567,f73]) ).
fof(f1848,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f567,f71]) ).
fof(f1849,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f567,f69]) ).
fof(f1850,plain,
! [X0] :
( ~ sQ113_spl
| product(X0,e_5,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f567,f76]) ).
fof(f1851,plain,
! [X0] :
( ~ sQ113_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f567,f41]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ113_spl
| ~ product(X0,e_5,e_3)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f567,f39]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ113_spl
| ~ product(e_5,X0,e_4)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f567,f39]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f564,f73]) ).
fof(f1855,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f564,f71]) ).
fof(f1856,plain,
( ~ sQ112_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f564,f102]) ).
fof(f1857,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f564,f69]) ).
fof(f1858,plain,
( ~ sQ112_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f564,f83]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ112_spl
| product(X0,e_5,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f564,f76]) ).
fof(f1860,plain,
! [X0] :
( ~ sQ112_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f564,f41]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ112_spl
| ~ product(X0,e_5,e_3)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f564,f39]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ112_spl
| ~ product(e_5,X0,e_3)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f564,f39]) ).
fof(f1863,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1856,f65]) ).
fof(f1864,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f1863]) ).
fof(f1865,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f561,f73]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f561,f71]) ).
fof(f1867,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f561,f69]) ).
fof(f1868,plain,
! [X0] :
( ~ sQ111_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f561,f76]) ).
fof(f1869,plain,
! [X0] :
( ~ sQ111_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f561,f41]) ).
fof(f1870,plain,
! [X0] :
( ~ sQ111_spl
| ~ product(X0,e_5,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f561,f39]) ).
fof(f1871,plain,
! [X0] :
( ~ sQ111_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f561,f39]) ).
fof(f1872,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f558,f920]) ).
fof(f1873,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f558,f73]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f558,f71]) ).
fof(f1875,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f558,f69]) ).
fof(f1876,plain,
! [X0] :
( ~ sQ110_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f558,f76]) ).
fof(f1877,plain,
! [X0] :
( ~ sQ110_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f558,f41]) ).
fof(f1878,plain,
! [X0] :
( ~ sQ110_spl
| ~ product(X0,e_5,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f558,f39]) ).
fof(f1879,plain,
! [X0] :
( ~ sQ110_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f558,f39]) ).
fof(f1881,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1812,f73]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1812,f71]) ).
fof(f1883,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1812,f69]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| product(X0,e_1,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1812,f76]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1812,f41]) ).
fof(f1886,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| ~ product(X0,e_1,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1812,f39]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ51_spl
| ~ product(e_1,X0,e_5)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1812,f39]) ).
fof(f1889,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1872,f921]) ).
fof(f1890,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1872,f73]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1872,f71]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1872,f69]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| product(X0,e_1,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1872,f76]) ).
fof(f1894,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| ~ product(X0,e_1,e_5)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1872,f41]) ).
fof(f1895,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| ~ product(X0,e_1,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1872,f39]) ).
fof(f1896,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1872,f39]) ).
fof(f1897,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1889,f116,f557,f237]) ).
fof(f1898,plain,
( ~ sQ121_spl
| ~ sQ52_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1386,f593]) ).
fof(f1899,plain,
( ~ sQ122_spl
| ~ sQ52_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1386,f596]) ).
fof(f1900,plain,
( ~ sQ122_spl
| ~ sQ52_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1899,f183,f296,f595]) ).
fof(f1901,plain,
( ~ sQ75_spl
| ~ sQ99_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1398,f431]) ).
fof(f1902,plain,
( ~ sQ75_spl
| ~ sQ99_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1901,f315,f506,f430]) ).
fof(f1903,plain,
( ~ sQ109_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f554,f106]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f554,f73]) ).
fof(f1905,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f554,f71]) ).
fof(f1906,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f554,f69]) ).
fof(f1907,plain,
( ~ sQ109_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f554,f79]) ).
fof(f1908,plain,
! [X0] :
( ~ sQ109_spl
| product(X0,e_5,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f554,f76]) ).
fof(f1909,plain,
( ~ sQ109_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f554,f77]) ).
fof(f1910,plain,
! [X0] :
( ~ sQ109_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f554,f41]) ).
fof(f1911,plain,
! [X0] :
( ~ sQ109_spl
| ~ product(X0,e_5,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f554,f39]) ).
fof(f1912,plain,
! [X0] :
( ~ sQ109_spl
| ~ product(e_5,X0,e_5)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f554,f39]) ).
fof(f1913,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1903,f62]) ).
fof(f1914,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f1913]) ).
fof(f1915,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f551,f73]) ).
fof(f1916,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f551,f71]) ).
fof(f1917,plain,
( ~ sQ108_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f551,f102]) ).
fof(f1918,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_5)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f551,f69]) ).
fof(f1919,plain,
( ~ sQ108_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f551,f83]) ).
fof(f1920,plain,
! [X0] :
( ~ sQ108_spl
| product(X0,e_5,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f551,f76]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ108_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f551,f41]) ).
fof(f1922,plain,
! [X0] :
( ~ sQ108_spl
| ~ product(X0,e_5,e_4)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f551,f39]) ).
fof(f1923,plain,
! [X0] :
( ~ sQ108_spl
| ~ product(e_5,X0,e_4)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f551,f39]) ).
fof(f1924,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1917,f66]) ).
fof(f1925,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f1924]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f548,f73]) ).
fof(f1927,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f548,f71]) ).
fof(f1928,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f548,f69]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ107_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f548,f76]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ107_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f548,f41]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ107_spl
| ~ product(X0,e_5,e_4)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f548,f39]) ).
fof(f1932,plain,
! [X0] :
( ~ sQ107_spl
| ~ product(e_5,X0,e_3)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f548,f39]) ).
fof(f1933,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f545,f73]) ).
fof(f1934,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f545,f71]) ).
fof(f1935,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f545,f69]) ).
fof(f1936,plain,
! [X0] :
( ~ sQ106_spl
| product(X0,e_5,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f545,f76]) ).
fof(f1937,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f545,f41]) ).
fof(f1938,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(X0,e_5,e_4)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f545,f39]) ).
fof(f1939,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f545,f39]) ).
fof(f1940,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f542,f73]) ).
fof(f1941,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f542,f71]) ).
fof(f1942,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f542,f69]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ105_spl
| product(X0,e_5,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f542,f76]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ105_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f542,f41]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ105_spl
| ~ product(X0,e_5,e_4)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f542,f39]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ105_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f542,f39]) ).
fof(f1947,plain,
( ~ sQ107_spl
| ~ sQ32_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f945,f548]) ).
fof(f1948,plain,
( ~ sQ32_spl
| ~ sQ107_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1947,f946]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1947,f73]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1947,f71]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1947,f69]) ).
fof(f1952,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1947,f76]) ).
fof(f1953,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1947,f41]) ).
fof(f1954,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| ~ product(X0,e_3,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1947,f39]) ).
fof(f1955,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1947,f39]) ).
fof(f1958,plain,
( ~ sQ94_spl
| ~ sQ32_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f948,f491]) ).
fof(f1959,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f526,f73]) ).
fof(f1960,plain,
( ~ sQ100_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f526,f104]) ).
fof(f1961,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f526,f71]) ).
fof(f1962,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f526,f69]) ).
fof(f1963,plain,
( ~ sQ100_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f526,f81]) ).
fof(f1964,plain,
! [X0] :
( ~ sQ100_spl
| product(X0,e_5,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f526,f76]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ100_spl
| ~ product(X0,e_5,e_5)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f526,f41]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ100_spl
| ~ product(X0,e_5,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f526,f39]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ100_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f526,f39]) ).
fof(f1968,plain,
( ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1960,f50]) ).
fof(f1969,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f1968]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f529,f73]) ).
fof(f1971,plain,
( ~ sQ101_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f529,f104]) ).
fof(f1972,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f529,f71]) ).
fof(f1973,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f529,f69]) ).
fof(f1974,plain,
( ~ sQ101_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f529,f81]) ).
fof(f1975,plain,
! [X0] :
( ~ sQ101_spl
| product(X0,e_5,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f529,f76]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(X0,e_5,e_5)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f529,f41]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(X0,e_5,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f529,f39]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f529,f39]) ).
fof(f1979,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1971,f54]) ).
fof(f1980,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f1979]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f532,f73]) ).
fof(f1982,plain,
( ~ sQ102_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f532,f104]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f532,f71]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f532,f69]) ).
fof(f1985,plain,
( ~ sQ102_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f532,f81]) ).
fof(f1986,plain,
! [X0] :
( ~ sQ102_spl
| product(X0,e_5,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f532,f76]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ102_spl
| ~ product(X0,e_5,e_5)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f532,f41]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ102_spl
| ~ product(X0,e_5,e_5)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f532,f39]) ).
fof(f1989,plain,
! [X0] :
( ~ sQ102_spl
| ~ product(e_5,X0,e_3)
| product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f532,f39]) ).
fof(f1990,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1982,f58]) ).
fof(f1991,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f1990]) ).
fof(f1992,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f535,f73]) ).
fof(f1993,plain,
( ~ sQ103_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f535,f104]) ).
fof(f1994,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f535,f71]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f535,f69]) ).
fof(f1996,plain,
( ~ sQ103_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f535,f81]) ).
fof(f1997,plain,
! [X0] :
( ~ sQ103_spl
| product(X0,e_5,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f535,f76]) ).
fof(f1998,plain,
! [X0] :
( ~ sQ103_spl
| ~ product(X0,e_5,e_5)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f535,f41]) ).
fof(f1999,plain,
! [X0] :
( ~ sQ103_spl
| ~ product(X0,e_5,e_5)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f535,f39]) ).
fof(f2000,plain,
! [X0] :
( ~ sQ103_spl
| ~ product(e_5,X0,e_4)
| product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f535,f39]) ).
fof(f2001,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1993,f62]) ).
fof(f2002,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f2001]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f136,f73]) ).
fof(f2004,plain,
( ~ sQ7_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f136,f104]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f136,f71]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f136,f69]) ).
fof(f2007,plain,
( ~ sQ7_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f136,f81]) ).
fof(f2008,plain,
! [X0] :
( ~ sQ7_spl
| product(X0,e_3,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f136,f76]) ).
fof(f2009,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f136,f41]) ).
fof(f2010,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(X0,e_3,e_3)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f136,f39]) ).
fof(f2011,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f136,f39]) ).
fof(f2012,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2004,f61]) ).
fof(f2013,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f2012]) ).
fof(f2015,plain,
( ~ sQ107_spl
| ~ sQ32_spl
| ~ sQ94_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1483,f1947]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| ~ sQ94_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2015,f73]) ).
fof(f2017,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| ~ sQ94_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2015,f71]) ).
fof(f2018,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2015,f69]) ).
fof(f2026,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f139,f73]) ).
fof(f2027,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f139,f71]) ).
fof(f2028,plain,
( ~ sQ8_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f139,f102]) ).
fof(f2029,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f139,f69]) ).
fof(f2030,plain,
( ~ sQ8_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f139,f83]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ8_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f139,f76]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f139,f41]) ).
fof(f2033,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(X0,e_3,e_4)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f139,f39]) ).
fof(f2034,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f139,f39]) ).
fof(f2035,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2028,f57]) ).
fof(f2036,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f2035]) ).
fof(f2038,plain,
( ~ sQ13_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f155,f106]) ).
fof(f2039,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f155,f73]) ).
fof(f2040,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f155,f71]) ).
fof(f2041,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f155,f69]) ).
fof(f2042,plain,
( ~ sQ13_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f155,f79]) ).
fof(f2043,plain,
! [X0] :
( ~ sQ13_spl
| product(X0,e_3,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f155,f76]) ).
fof(f2044,plain,
( ~ sQ13_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f155,f77]) ).
fof(f2045,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f155,f41]) ).
fof(f2046,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(X0,e_3,e_4)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f155,f39]) ).
fof(f2047,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(e_3,X0,e_3)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f155,f39]) ).
fof(f2049,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2038,f61]) ).
fof(f2050,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f2049]) ).
fof(f2052,plain,
( ~ sQ14_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f158,f106]) ).
fof(f2053,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f158,f73]) ).
fof(f2054,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f158,f71]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f158,f69]) ).
fof(f2056,plain,
( ~ sQ14_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f158,f79]) ).
fof(f2057,plain,
! [X0] :
( ~ sQ14_spl
| product(X0,e_3,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f158,f76]) ).
fof(f2058,plain,
( ~ sQ14_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f158,f77]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f158,f41]) ).
fof(f2060,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(X0,e_3,e_5)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f158,f39]) ).
fof(f2061,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(e_3,X0,e_3)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f158,f39]) ).
fof(f2065,plain,
( ~ sQ105_spl
| ~ sQ94_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1486,f542]) ).
fof(f2066,plain,
( ~ sQ106_spl
| ~ sQ94_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f1486,f545]) ).
fof(f2067,plain,
( ~ sQ107_spl
| ~ sQ94_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1486,f548]) ).
fof(f2068,plain,
( ~ sQ105_spl
| ~ sQ94_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f2065,f221,f490,f541]) ).
fof(f2069,plain,
( ~ sQ106_spl
| ~ sQ94_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f2066,f224,f490,f544]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1948,f73]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1948,f71]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1948,f69]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1948,f76]) ).
fof(f2075,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1948,f41]) ).
fof(f2076,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| ~ product(X0,e_4,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1948,f39]) ).
fof(f2077,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| ~ product(e_4,X0,e_5)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1948,f39]) ).
fof(f2078,plain,
( ~ sQ89_spl
| ~ sQ32_spl
| ~ sQ107_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2071,f475]) ).
fof(f2080,plain,
( ~ sQ89_spl
| ~ sQ32_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2078,f56]) ).
fof(f2081,plain,
( ~ sQ89_spl
| ~ sQ32_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2080]) ).
fof(f2082,plain,
( ~ sQ118_spl
| ~ sQ75_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1666,f583]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2082,f73]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2082,f71]) ).
fof(f2085,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2082,f69]) ).
fof(f2086,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| product(X0,e_1,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2082,f76]) ).
fof(f2087,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2082,f41]) ).
fof(f2088,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| ~ product(X0,e_1,e_4)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2082,f39]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2082,f39]) ).
fof(f2090,plain,
( ~ sQ118_spl
| ~ sQ75_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1667,f583]) ).
fof(f2092,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2090,f73]) ).
fof(f2093,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2090,f71]) ).
fof(f2094,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2090,f69]) ).
fof(f2095,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| product(X0,e_2,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2090,f76]) ).
fof(f2096,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2090,f41]) ).
fof(f2097,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| ~ product(X0,e_2,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2090,f39]) ).
fof(f2098,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ75_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2090,f39]) ).
fof(f2107,plain,
( ~ sQ5_spl
| ~ sQ48_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f279,f762]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f279,f73]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f279,f71]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f279,f69]) ).
fof(f2115,plain,
( ~ sQ48_spl
| ~ sQ5_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f2107,f779]) ).
fof(f2118,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2107,f73]) ).
fof(f2119,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2107,f71]) ).
fof(f2120,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2107,f69]) ).
fof(f2121,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| product(X0,e_1,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2107,f76]) ).
fof(f2122,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2107,f41]) ).
fof(f2123,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| ~ product(X0,e_1,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2107,f39]) ).
fof(f2124,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2107,f39]) ).
fof(f2125,plain,
( ~ sQ121_spl
| ~ sQ21_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f421,f593]) ).
fof(f2127,plain,
( ~ sQ48_spl
| ~ sQ5_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f2115,f778]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2115,f73]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2115,f71]) ).
fof(f2131,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2115,f69]) ).
fof(f2132,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ5_spl
| product(X0,e_4,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2115,f76]) ).
fof(f2133,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ5_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2115,f41]) ).
fof(f2134,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ5_spl
| ~ product(X0,e_4,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2115,f39]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ5_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2115,f39]) ).
fof(f2136,plain,
( ~ sQ115_spl
| ~ sQ121_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f1744,f574]) ).
fof(f2137,plain,
( ~ sQ121_spl
| ~ sQ54_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f303,f1745]) ).
fof(f2138,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f303,f73]) ).
fof(f2139,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f303,f71]) ).
fof(f2140,plain,
( ~ sQ54_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f303,f102]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_1)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f303,f69]) ).
fof(f2142,plain,
( ~ sQ54_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f303,f83]) ).
fof(f2143,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_1,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f303,f76]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(X0,e_1,e_5)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f303,f41]) ).
fof(f2145,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(X0,e_1,e_5)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f303,f39]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_1,X0,e_5)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f303,f39]) ).
fof(f2147,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2140,f50]) ).
fof(f2148,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f2147]) ).
fof(f2149,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2052,f65]) ).
fof(f2150,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f2149]) ).
fof(f2151,plain,
( sQ25_spl
| ~ sQ118_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f207,f2090]) ).
fof(f2152,plain,
( sQ25_spl
| ~ sQ118_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f2151]) ).
fof(f2154,plain,
( ~ sQ21_spl
| ~ sQ121_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f2125,f422]) ).
fof(f2155,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ21_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2125,f73]) ).
fof(f2156,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f2125,f71]) ).
fof(f2157,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f2125,f69]) ).
fof(f2158,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ21_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2125,f76]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ21_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2125,f41]) ).
fof(f2160,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ21_spl
| ~ product(X0,e_2,e_5)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2125,f39]) ).
fof(f2161,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ21_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2125,f39]) ).
fof(f2162,plain,
( ~ sQ21_spl
| ~ sQ121_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f2154,f296,f592,f180]) ).
fof(f2163,plain,
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1509,f1831]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1509,f73]) ).
fof(f2165,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1509,f71]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1509,f69]) ).
fof(f2167,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1509,f76]) ).
fof(f2168,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1509,f41]) ).
fof(f2169,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_4,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1509,f39]) ).
fof(f2170,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1509,f39]) ).
fof(f2171,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2163,f73]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2163,f71]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2163,f69]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2163,f76]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2163,f41]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_2,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2163,f39]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2163,f39]) ).
fof(f2178,plain,
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1832,f2163]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f485,f73]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f485,f71]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f485,f69]) ).
fof(f2183,plain,
! [X0] :
( ~ sQ92_spl
| product(X0,e_4,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f485,f76]) ).
fof(f2184,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f485,f41]) ).
fof(f2185,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(X0,e_4,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f485,f39]) ).
fof(f2186,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f485,f39]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2178,f73]) ).
fof(f2188,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f2178,f71]) ).
fof(f2189,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2178,f69]) ).
fof(f2190,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2178,f76]) ).
fof(f2191,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_1,e_5)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2178,f41]) ).
fof(f2192,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_1,e_5)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2178,f39]) ).
fof(f2193,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ64_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2178,f39]) ).
fof(f2197,plain,
( ~ sQ92_spl
| ~ sQ111_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1868,f485]) ).
fof(f2198,plain,
( ~ sQ111_spl
| ~ sQ92_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f2197,f1869]) ).
fof(f2199,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ111_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2197,f73]) ).
fof(f2200,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ111_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f2197,f71]) ).
fof(f2201,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2197,f69]) ).
fof(f2202,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ111_spl
| product(X0,e_3,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2197,f76]) ).
fof(f2203,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ111_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2197,f41]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ111_spl
| ~ product(X0,e_3,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2197,f39]) ).
fof(f2205,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ111_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2197,f39]) ).
fof(f2206,plain,
( ~ sQ111_spl
| ~ sQ92_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f2198,f233,f484,f560]) ).
fof(f2207,plain,
( ~ sQ75_spl
| ~ sQ68_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f1047,f431]) ).
fof(f2208,plain,
( ~ sQ75_spl
| ~ sQ68_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f2207,f582,f347,f430]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f434,f73]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f434,f71]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f69]) ).
fof(f2212,plain,
! [X0] :
( ~ sQ76_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f434,f76]) ).
fof(f2213,plain,
! [X0] :
( ~ sQ76_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f434,f41]) ).
fof(f2216,plain,
( ~ sQ76_spl
| ~ sQ28_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f1318,f434]) ).
fof(f2217,plain,
( ~ sQ76_spl
| ~ sQ28_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f2216,f585,f214,f433]) ).
fof(f2218,plain,
( ~ sQ115_spl
| ~ sQ28_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1320,f574]) ).
fof(f2219,plain,
( ~ sQ28_spl
| ~ sQ9_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f142,f1317]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f142,f73]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f142,f71]) ).
fof(f2222,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f142,f69]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ9_spl
| product(X0,e_3,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f142,f76]) ).
fof(f2224,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f142,f41]) ).
fof(f2225,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(X0,e_3,e_5)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f142,f39]) ).
fof(f2226,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f142,f39]) ).
fof(f2227,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f348,f73]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f348,f71]) ).
fof(f2229,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f348,f69]) ).
fof(f2234,plain,
( ~ sQ115_spl
| ~ sQ28_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f2218,f1831]) ).
fof(f2235,plain,
( ~ sQ28_spl
| ~ sQ115_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f2218,f1319]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2218,f73]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2218,f71]) ).
fof(f2239,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2218,f69]) ).
fof(f2240,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2218,f76]) ).
fof(f2241,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2218,f41]) ).
fof(f2242,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(X0,e_4,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2218,f39]) ).
fof(f2243,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2218,f39]) ).
fof(f2245,plain,
( ~ sQ28_spl
| ~ sQ9_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f2219,f1318]) ).
fof(f2246,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2219,f73]) ).
fof(f2247,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2219,f71]) ).
fof(f2248,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2219,f69]) ).
fof(f2249,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| product(X0,e_4,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2219,f76]) ).
fof(f2250,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2219,f41]) ).
fof(f2251,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ product(X0,e_4,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2219,f39]) ).
fof(f2252,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2219,f39]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2234,f73]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2234,f71]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2234,f69]) ).
fof(f2262,plain,
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1214,f2218]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f313,f73]) ).
fof(f2264,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f313,f71]) ).
fof(f2265,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f313,f69]) ).
fof(f2270,plain,
( ~ sQ111_spl
| ~ sQ61_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f326,f1868]) ).
fof(f2271,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f326,f73]) ).
fof(f2272,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f326,f71]) ).
fof(f2273,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f326,f69]) ).
fof(f2274,plain,
! [X0] :
( ~ sQ61_spl
| product(X0,e_1,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f326,f76]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f326,f41]) ).
fof(f2276,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(X0,e_1,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f326,f39]) ).
fof(f2277,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f326,f39]) ).
fof(f2278,plain,
( ~ sQ57_spl
| ~ sQ97_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f501,f1214]) ).
fof(f2286,plain,
( ~ sQ57_spl
| ~ sQ97_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2278,f183,f500,f312]) ).
fof(f2287,plain,
( ~ sQ92_spl
| ~ sQ111_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f2197,f122,f560,f484]) ).
fof(f2288,plain,
( ~ sQ34_spl
| ~ sQ53_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1387,f592,f299,f233]) ).
fof(f2289,plain,
( ~ sQ34_spl
| ~ sQ53_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1501,f478,f299,f233]) ).
fof(f2290,plain,
( ~ sQ69_spl
| ~ sQ1_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1260,f237,f116,f350]) ).
fof(f2291,plain,
( ~ sQ24_spl
| ~ sQ67_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1101,f205,f344,f189]) ).
fof(f2292,plain,
( ~ sQ69_spl
| ~ sQ51_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1372,f589,f293,f350]) ).
fof(f2293,plain,
( ~ sQ115_spl
| ~ sQ28_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f2218,f1831]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2218,f73]) ).
fof(f2295,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2218,f71]) ).
fof(f2296,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2218,f69]) ).
fof(f2297,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2218,f76]) ).
fof(f2298,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2218,f41]) ).
fof(f2299,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(X0,e_4,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2218,f39]) ).
fof(f2300,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2218,f39]) ).
fof(f2302,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2235,f73]) ).
fof(f2303,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f2235,f71]) ).
fof(f2304,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2235,f69]) ).
fof(f2305,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2235,f76]) ).
fof(f2306,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| ~ product(X0,e_1,e_5)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2235,f41]) ).
fof(f2307,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| ~ product(X0,e_1,e_5)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2235,f39]) ).
fof(f2308,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2235,f39]) ).
fof(f2309,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2219,f73]) ).
fof(f2310,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2219,f71]) ).
fof(f2311,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2219,f69]) ).
fof(f2312,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| product(X0,e_4,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2219,f76]) ).
fof(f2313,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2219,f41]) ).
fof(f2314,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ product(X0,e_4,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2219,f39]) ).
fof(f2315,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2219,f39]) ).
fof(f2316,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2245,f73]) ).
fof(f2317,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2245,f71]) ).
fof(f2318,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2245,f69]) ).
fof(f2319,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2245,f76]) ).
fof(f2320,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2245,f41]) ).
fof(f2321,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ product(X0,e_5,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2245,f39]) ).
fof(f2322,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ product(e_5,X0,e_3)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2245,f39]) ).
fof(f2325,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2234,f73]) ).
fof(f2326,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2234,f71]) ).
fof(f2327,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2234,f69]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2234,f76]) ).
fof(f2329,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2234,f41]) ).
fof(f2330,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(X0,e_2,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2234,f39]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2234,f39]) ).
fof(f2332,plain,
( ~ sQ28_spl
| ~ sQ9_spl
| ~ sQ117_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1781,f2219]) ).
fof(f2333,plain,
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ117_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1782,f2234]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f567,f73]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f567,f71]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f567,f69]) ).
fof(f2341,plain,
( ~ sQ117_spl
| ~ sQ29_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f218,f1782]) ).
fof(f2344,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f218,f73]) ).
fof(f2345,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f218,f71]) ).
fof(f2346,plain,
( ~ sQ29_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f218,f102]) ).
fof(f2347,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f218,f69]) ).
fof(f2348,plain,
( ~ sQ29_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f218,f83]) ).
fof(f2349,plain,
! [X0] :
( ~ sQ29_spl
| product(X0,e_2,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f218,f76]) ).
fof(f2350,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f218,f41]) ).
fof(f2351,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(X0,e_2,e_5)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f218,f39]) ).
fof(f2352,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f218,f39]) ).
fof(f2355,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2346,f54]) ).
fof(f2356,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f2355]) ).
fof(f2358,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ sQ117_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2332,f73]) ).
fof(f2359,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ sQ117_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2332,f71]) ).
fof(f2360,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2332,f69]) ).
fof(f2361,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ sQ117_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2332,f76]) ).
fof(f2362,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ sQ117_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2332,f41]) ).
fof(f2363,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ sQ117_spl
| ~ product(X0,e_2,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2332,f39]) ).
fof(f2364,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ9_spl
| ~ sQ117_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2332,f39]) ).
fof(f2368,plain,
( ~ sQ9_spl
| ~ sQ117_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1784,f142]) ).
fof(f2369,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f599,f73]) ).
fof(f2370,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f599,f71]) ).
fof(f2371,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f599,f69]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ123_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f599,f76]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f599,f41]) ).
fof(f2374,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(X0,e_5,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f599,f39]) ).
fof(f2375,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(e_5,X0,e_4)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f599,f39]) ).
fof(f2376,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f222,f73]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f222,f71]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f222,f69]) ).
fof(f2380,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f222,f41]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(X0,e_2,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f222,f39]) ).
fof(f2382,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f222,f39]) ).
fof(f2383,plain,
( ~ sQ113_spl
| ~ sQ0_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f114,f1852]) ).
fof(f2384,plain,
( ~ sQ113_spl
| ~ sQ0_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f114,f1851]) ).
fof(f2385,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f114,f73]) ).
fof(f2386,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f114,f71]) ).
fof(f2387,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f114,f69]) ).
fof(f2388,plain,
! [X0] :
( ~ sQ0_spl
| product(X0,e_3,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f114,f76]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f114,f41]) ).
fof(f2390,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_3,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f114,f39]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f114,f39]) ).
fof(f2393,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2383,f73]) ).
fof(f2394,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2383,f71]) ).
fof(f2395,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2383,f69]) ).
fof(f2396,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| product(X0,e_1,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2383,f76]) ).
fof(f2397,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2383,f41]) ).
fof(f2398,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| ~ product(X0,e_1,e_4)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2383,f39]) ).
fof(f2399,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2383,f39]) ).
fof(f2401,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2384,f73]) ).
fof(f2402,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2384,f71]) ).
fof(f2403,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2384,f69]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| product(X0,e_4,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2384,f76]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2384,f41]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| ~ product(X0,e_4,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2384,f39]) ).
fof(f2407,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2384,f39]) ).
fof(f2409,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f294,f73]) ).
fof(f2410,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f294,f71]) ).
fof(f2411,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f294,f69]) ).
fof(f2412,plain,
! [X0] :
( ~ sQ51_spl
| product(X0,e_1,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f294,f76]) ).
fof(f2413,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f294,f41]) ).
fof(f2414,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(X0,e_1,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f294,f39]) ).
fof(f2415,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(e_1,X0,e_5)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f294,f39]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_2,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f276,f76]) ).
fof(f2420,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f276,f41]) ).
fof(f2421,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(X0,e_2,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f276,f39]) ).
fof(f2422,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f276,f39]) ).
fof(f2423,plain,
( ~ sQ117_spl
| ~ sQ19_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f174,f1784]) ).
fof(f2424,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f174,f73]) ).
fof(f2425,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f174,f71]) ).
fof(f2426,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f174,f69]) ).
fof(f2427,plain,
! [X0] :
( ~ sQ19_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f174,f76]) ).
fof(f2428,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f174,f41]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(X0,e_3,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f174,f39]) ).
fof(f2430,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f174,f39]) ).
fof(f2431,plain,
( ~ sQ117_spl
| ~ sQ19_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f2423,f208,f173,f579]) ).
fof(f2432,plain,
( sQ117_spl
| ~ sQ28_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f2245]) ).
fof(f2433,plain,
( sQ117_spl
| ~ sQ28_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2432]) ).
fof(f2434,plain,
( ~ sQ9_spl
| ~ sQ117_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f2368,f214,f579,f141]) ).
fof(f2435,plain,
( ~ sQ30_spl
| ~ sQ23_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f187,f966]) ).
fof(f2436,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f187,f73]) ).
fof(f2437,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f187,f71]) ).
fof(f2438,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f187,f69]) ).
fof(f2439,plain,
! [X0] :
( ~ sQ23_spl
| product(X0,e_3,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f187,f76]) ).
fof(f2440,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f187,f41]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(X0,e_3,e_4)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f187,f39]) ).
fof(f2442,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f187,f39]) ).
fof(f2443,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1453,f73]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1453,f71]) ).
fof(f2445,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1453,f69]) ).
fof(f2446,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ59_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1453,f76]) ).
fof(f2447,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ59_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1453,f41]) ).
fof(f2448,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ59_spl
| ~ product(X0,e_5,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1453,f39]) ).
fof(f2449,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ59_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1453,f39]) ).
fof(f2452,plain,
( ~ sQ30_spl
| ~ sQ23_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f2435,f967]) ).
fof(f2453,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2435,f73]) ).
fof(f2454,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2435,f71]) ).
fof(f2455,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2435,f69]) ).
fof(f2456,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ23_spl
| product(X0,e_1,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2435,f76]) ).
fof(f2457,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ23_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2435,f41]) ).
fof(f2458,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ23_spl
| ~ product(X0,e_1,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2435,f39]) ).
fof(f2459,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ23_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2435,f39]) ).
fof(f2460,plain,
( ~ sQ30_spl
| ~ sQ23_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f2452,f484,f186,f221]) ).
fof(f2462,plain,
( ~ sQ113_spl
| ~ sQ38_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f247,f1850]) ).
fof(f2463,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f247,f73]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f247,f71]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f69]) ).
fof(f2469,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f247,f39]) ).
fof(f2470,plain,
( ~ sQ113_spl
| ~ sQ79_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f443,f1853]) ).
fof(f2471,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f443,f73]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f443,f71]) ).
fof(f2473,plain,
( ~ sQ79_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f443,f102]) ).
fof(f2474,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f69]) ).
fof(f2475,plain,
( ~ sQ79_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f443,f83]) ).
fof(f2476,plain,
! [X0] :
( ~ sQ79_spl
| product(X0,e_4,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f76]) ).
fof(f2477,plain,
! [X0] :
( ~ sQ79_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f443,f41]) ).
fof(f2478,plain,
! [X0] :
( ~ sQ79_spl
| ~ product(X0,e_4,e_5)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f39]) ).
fof(f2479,plain,
! [X0] :
( ~ sQ79_spl
| ~ product(e_4,X0,e_5)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f443,f39]) ).
fof(f2480,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2473,f62]) ).
fof(f2481,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f2480]) ).
fof(f2482,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f498,f73]) ).
fof(f2483,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f498,f71]) ).
fof(f2484,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f498,f69]) ).
fof(f2485,plain,
! [X0] :
( ~ sQ96_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f498,f76]) ).
fof(f2486,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f498,f41]) ).
fof(f2487,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(X0,e_4,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f498,f39]) ).
fof(f2488,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f498,f39]) ).
fof(f2489,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f596,f73]) ).
fof(f2490,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f596,f71]) ).
fof(f2491,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f596,f69]) ).
fof(f2492,plain,
! [X0] :
( ~ sQ122_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f596,f76]) ).
fof(f2493,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f596,f41]) ).
fof(f2494,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(X0,e_5,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f596,f39]) ).
fof(f2495,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(e_5,X0,e_3)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f596,f39]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1345,f73]) ).
fof(f2497,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1345,f71]) ).
fof(f2498,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1345,f69]) ).
fof(f2499,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| product(X0,e_5,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1345,f76]) ).
fof(f2500,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1345,f41]) ).
fof(f2501,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_5,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1345,f39]) ).
fof(f2502,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1345,f39]) ).
fof(f2503,plain,
( ~ sQ47_spl
| ~ sQ51_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1378,f276]) ).
fof(f2505,plain,
( ~ sQ113_spl
| ~ sQ38_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f2462,f1851]) ).
fof(f2506,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2462,f73]) ).
fof(f2507,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2462,f71]) ).
fof(f2508,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2462,f69]) ).
fof(f2509,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2462,f76]) ).
fof(f2510,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2462,f41]) ).
fof(f2511,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| ~ product(X0,e_3,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2462,f39]) ).
fof(f2512,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2462,f39]) ).
fof(f2513,plain,
( ~ sQ122_spl
| ~ sQ51_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1379,f596]) ).
fof(f2514,plain,
( ~ sQ30_spl
| ~ sQ67_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f345,f968]) ).
fof(f2515,plain,
( ~ sQ30_spl
| ~ sQ67_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f345,f967]) ).
fof(f2523,plain,
( ~ sQ30_spl
| ~ sQ67_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2514,f186,f344,f221]) ).
fof(f2524,plain,
( ~ sQ113_spl
| ~ sQ4_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f126,f1852]) ).
fof(f2526,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f126,f73]) ).
fof(f2527,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f126,f71]) ).
fof(f2528,plain,
( ~ sQ4_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f126,f102]) ).
fof(f2529,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f126,f69]) ).
fof(f2530,plain,
( ~ sQ4_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f126,f83]) ).
fof(f2531,plain,
! [X0] :
( ~ sQ4_spl
| product(X0,e_3,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f126,f76]) ).
fof(f2532,plain,
! [X0] :
( ~ sQ4_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f126,f41]) ).
fof(f2533,plain,
! [X0] :
( ~ sQ4_spl
| ~ product(X0,e_3,e_5)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f126,f39]) ).
fof(f2534,plain,
! [X0] :
( ~ sQ4_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f126,f39]) ).
fof(f2536,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2528,f58]) ).
fof(f2537,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f2536]) ).
fof(f2538,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f206,f73]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f206,f71]) ).
fof(f2540,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f206,f69]) ).
fof(f2545,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f545,f73]) ).
fof(f2546,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f545,f71]) ).
fof(f2547,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f545,f69]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ106_spl
| product(X0,e_5,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f545,f76]) ).
fof(f2549,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f545,f41]) ).
fof(f2550,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(X0,e_5,e_4)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f545,f39]) ).
fof(f2551,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f545,f39]) ).
fof(f2554,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2503,f73]) ).
fof(f2555,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2503,f71]) ).
fof(f2556,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2503,f69]) ).
fof(f2557,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2503,f76]) ).
fof(f2558,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2503,f41]) ).
fof(f2559,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| ~ product(X0,e_3,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2503,f39]) ).
fof(f2560,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2503,f39]) ).
fof(f2561,plain,
( ~ sQ47_spl
| ~ sQ51_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f785,f2503]) ).
fof(f2562,plain,
( ~ sQ51_spl
| ~ sQ113_spl
| ~ sQ38_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2505,f1376]) ).
fof(f2564,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2505,f73]) ).
fof(f2565,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2505,f71]) ).
fof(f2566,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2505,f69]) ).
fof(f2567,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2505,f76]) ).
fof(f2568,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2505,f41]) ).
fof(f2569,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| ~ product(X0,e_4,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2505,f39]) ).
fof(f2570,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2505,f39]) ).
fof(f2571,plain,
( ~ sQ51_spl
| ~ sQ113_spl
| ~ sQ38_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f2562,f278,f246,f566,f293]) ).
fof(f2573,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2515,f73]) ).
fof(f2574,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2515,f71]) ).
fof(f2575,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2515,f69]) ).
fof(f2576,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ67_spl
| product(X0,e_4,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2515,f76]) ).
fof(f2577,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ67_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f2515,f41]) ).
fof(f2578,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ67_spl
| ~ product(X0,e_4,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2515,f39]) ).
fof(f2579,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ67_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2515,f39]) ).
fof(f2580,plain,
( ~ sQ122_spl
| ~ sQ47_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f783,f596]) ).
fof(f2581,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f282,f73]) ).
fof(f2582,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f282,f71]) ).
fof(f2583,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f282,f69]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_2,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f282,f76]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f282,f41]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(X0,e_2,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f282,f39]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f282,f39]) ).
fof(f2588,plain,
( ~ sQ113_spl
| ~ sQ63_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f332,f1850]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f332,f73]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f332,f71]) ).
fof(f2591,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f332,f69]) ).
fof(f2592,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_1,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f332,f76]) ).
fof(f2593,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f332,f41]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_1,e_4)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f332,f39]) ).
fof(f2595,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f332,f39]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f583,f73]) ).
fof(f2597,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f583,f71]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f583,f69]) ).
fof(f2599,plain,
! [X0] :
( ~ sQ118_spl
| product(X0,e_5,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f583,f76]) ).
fof(f2600,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f583,f41]) ).
fof(f2601,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(X0,e_5,e_2)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f583,f39]) ).
fof(f2602,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(e_5,X0,e_4)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f583,f39]) ).
fof(f2604,plain,
( ~ sQ113_spl
| ~ sQ0_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f2384,f1853]) ).
fof(f2605,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2384,f73]) ).
fof(f2606,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2384,f71]) ).
fof(f2607,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2384,f69]) ).
fof(f2608,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| product(X0,e_4,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2384,f76]) ).
fof(f2609,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2384,f41]) ).
fof(f2610,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| ~ product(X0,e_4,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2384,f39]) ).
fof(f2611,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ0_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2384,f39]) ).
fof(f2613,plain,
( ~ sQ47_spl
| ~ sQ122_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f2580,f784]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2580,f73]) ).
fof(f2615,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2580,f71]) ).
fof(f2616,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2580,f69]) ).
fof(f2617,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2580,f76]) ).
fof(f2618,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2580,f41]) ).
fof(f2619,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2580,f39]) ).
fof(f2620,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2580,f39]) ).
fof(f2621,plain,
( ~ sQ47_spl
| ~ sQ122_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2613,f293,f595,f275]) ).
fof(f2622,plain,
( sQ19_spl
| ~ sQ122_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f175,f2580]) ).
fof(f2623,plain,
( sQ19_spl
| ~ sQ122_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2622]) ).
fof(f2624,plain,
( ~ sQ67_spl
| ~ sQ92_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f485,f1053]) ).
fof(f2625,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f485,f73]) ).
fof(f2626,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f485,f71]) ).
fof(f2627,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f485,f69]) ).
fof(f2628,plain,
! [X0] :
( ~ sQ92_spl
| product(X0,e_4,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f485,f76]) ).
fof(f2629,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f485,f41]) ).
fof(f2630,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(X0,e_4,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f485,f39]) ).
fof(f2631,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f485,f39]) ).
fof(f2633,plain,
( ~ sQ113_spl
| ~ sQ63_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f2588,f1851]) ).
fof(f2634,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2588,f73]) ).
fof(f2635,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ63_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2588,f71]) ).
fof(f2636,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2588,f69]) ).
fof(f2637,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ63_spl
| product(X0,e_3,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2588,f76]) ).
fof(f2638,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2588,f41]) ).
fof(f2639,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ63_spl
| ~ product(X0,e_3,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2588,f39]) ).
fof(f2640,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ63_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2588,f39]) ).
fof(f2642,plain,
( ~ sQ47_spl
| ~ sQ51_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f2503,f784]) ).
fof(f2643,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2503,f73]) ).
fof(f2644,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2503,f71]) ).
fof(f2645,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2503,f69]) ).
fof(f2646,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2503,f76]) ).
fof(f2647,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2503,f41]) ).
fof(f2648,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| ~ product(X0,e_3,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2503,f39]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2503,f39]) ).
fof(f2650,plain,
( ~ sQ25_spl
| ~ sQ67_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1056,f206]) ).
fof(f2651,plain,
( ~ sQ25_spl
| ~ sQ67_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f2650,f189,f344,f205]) ).
fof(f2652,plain,
( ~ sQ48_spl
| ~ sQ5_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f2115,f465,f129,f278]) ).
fof(f2653,plain,
( ~ sQ115_spl
| ~ sQ121_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f2136,f302,f592,f573]) ).
fof(f2654,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f1872,f350,f557,f237]) ).
fof(f2655,plain,
( ~ sQ24_spl
| ~ sQ67_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1049,f579,f344,f189]) ).
fof(f2656,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f558,f73]) ).
fof(f2657,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f558,f71]) ).
fof(f2658,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f558,f69]) ).
fof(f2659,plain,
! [X0] :
( ~ sQ110_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f558,f76]) ).
fof(f2660,plain,
! [X0] :
( ~ sQ110_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f558,f41]) ).
fof(f2661,plain,
! [X0] :
( ~ sQ110_spl
| ~ product(X0,e_5,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f558,f39]) ).
fof(f2662,plain,
! [X0] :
( ~ sQ110_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f558,f39]) ).
fof(f2663,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f250,f73]) ).
fof(f2664,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f250,f71]) ).
fof(f2665,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f250,f69]) ).
fof(f2666,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f250,f76]) ).
fof(f2667,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f250,f41]) ).
fof(f2668,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_2,e_5)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f250,f39]) ).
fof(f2669,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f250,f39]) ).
fof(f2670,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f294,f73]) ).
fof(f2671,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f294,f71]) ).
fof(f2672,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f294,f69]) ).
fof(f2673,plain,
! [X0] :
( ~ sQ51_spl
| product(X0,e_1,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f294,f76]) ).
fof(f2674,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f294,f41]) ).
fof(f2675,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(X0,e_1,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f294,f39]) ).
fof(f2676,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(e_1,X0,e_5)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f294,f39]) ).
fof(f2677,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f548,f73]) ).
fof(f2678,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f548,f71]) ).
fof(f2679,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f548,f69]) ).
fof(f2680,plain,
! [X0] :
( ~ sQ107_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f548,f76]) ).
fof(f2681,plain,
! [X0] :
( ~ sQ107_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f548,f41]) ).
fof(f2682,plain,
! [X0] :
( ~ sQ107_spl
| ~ product(X0,e_5,e_4)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f548,f39]) ).
fof(f2683,plain,
! [X0] :
( ~ sQ107_spl
| ~ product(e_5,X0,e_3)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f548,f39]) ).
fof(f2685,plain,
( ~ sQ67_spl
| ~ sQ92_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f2624,f1054]) ).
fof(f2686,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2624,f73]) ).
fof(f2687,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f2624,f71]) ).
fof(f2688,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2624,f69]) ).
fof(f2689,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| product(X0,e_3,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2624,f76]) ).
fof(f2690,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2624,f41]) ).
fof(f2691,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| ~ product(X0,e_3,e_4)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2624,f39]) ).
fof(f2692,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2624,f39]) ).
fof(f2693,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1947,f73]) ).
fof(f2694,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1947,f71]) ).
fof(f2695,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1947,f69]) ).
fof(f2696,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1947,f76]) ).
fof(f2697,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1947,f41]) ).
fof(f2698,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| ~ product(X0,e_3,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1947,f39]) ).
fof(f2699,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ32_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1947,f39]) ).
fof(f2700,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1948,f73]) ).
fof(f2701,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1948,f71]) ).
fof(f2702,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1948,f69]) ).
fof(f2703,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1948,f76]) ).
fof(f2704,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1948,f41]) ).
fof(f2705,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| ~ product(X0,e_4,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1948,f39]) ).
fof(f2706,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| ~ product(e_4,X0,e_5)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1948,f39]) ).
fof(f2707,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f228,f73]) ).
fof(f2708,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f228,f71]) ).
fof(f2709,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f228,f69]) ).
fof(f2710,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_2,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f228,f76]) ).
fof(f2711,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f228,f41]) ).
fof(f2712,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(X0,e_2,e_3)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f228,f39]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f228,f39]) ).
fof(f2714,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f463,f73]) ).
fof(f2715,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f463,f71]) ).
fof(f2716,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f463,f69]) ).
fof(f2717,plain,
! [X0] :
( ~ sQ85_spl
| product(X0,e_4,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f463,f76]) ).
fof(f2718,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f463,f41]) ).
fof(f2719,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(X0,e_4,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f463,f39]) ).
fof(f2720,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f463,f39]) ).
fof(f2721,plain,
( ~ sQ118_spl
| ~ sQ27_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f212,f1776]) ).
fof(f2722,plain,
( ~ sQ118_spl
| ~ sQ27_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f212,f1775]) ).
fof(f2723,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f212,f73]) ).
fof(f2724,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f212,f71]) ).
fof(f2725,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f212,f69]) ).
fof(f2726,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_2,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f212,f76]) ).
fof(f2727,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f212,f41]) ).
fof(f2728,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_2,e_3)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f212,f39]) ).
fof(f2729,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f212,f39]) ).
fof(f2730,plain,
( ~ sQ118_spl
| ~ sQ27_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f2721,f170,f211,f582]) ).
fof(f2732,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2685,f73]) ).
fof(f2733,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2685,f71]) ).
fof(f2734,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2685,f69]) ).
fof(f2735,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| product(X0,e_2,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2685,f76]) ).
fof(f2736,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2685,f41]) ).
fof(f2737,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| ~ product(X0,e_2,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2685,f39]) ).
fof(f2738,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ92_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2685,f39]) ).
fof(f2740,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2218,f73]) ).
fof(f2741,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2218,f71]) ).
fof(f2742,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2218,f69]) ).
fof(f2743,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2218,f76]) ).
fof(f2744,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2218,f41]) ).
fof(f2745,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(X0,e_4,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2218,f39]) ).
fof(f2746,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2218,f39]) ).
fof(f2747,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2293,f73]) ).
fof(f2748,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2293,f71]) ).
fof(f2749,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2293,f69]) ).
fof(f2750,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2293,f76]) ).
fof(f2751,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2293,f41]) ).
fof(f2752,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(X0,e_2,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2293,f39]) ).
fof(f2753,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ product(e_2,X0,e_5)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2293,f39]) ).
fof(f2755,plain,
( ~ sQ32_spl
| ~ sQ92_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f2184,f228]) ).
fof(f2756,plain,
( ~ sQ32_spl
| ~ sQ92_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f2755,f154,f484,f227]) ).
fof(f2757,plain,
( ~ sQ113_spl
| ~ sQ0_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f2384,f430,f113,f566]) ).
fof(f2758,plain,
( ~ sQ113_spl
| ~ sQ63_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f2633,f430,f331,f566]) ).
fof(f2760,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f507,f73]) ).
fof(f2761,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f507,f71]) ).
fof(f2762,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f507,f69]) ).
fof(f2763,plain,
! [X0] :
( ~ sQ99_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f507,f76]) ).
fof(f2764,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f507,f41]) ).
fof(f2765,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(X0,e_4,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f507,f39]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(e_4,X0,e_5)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f507,f39]) ).
fof(f2767,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f599,f73]) ).
fof(f2768,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f599,f71]) ).
fof(f2769,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f599,f69]) ).
fof(f2770,plain,
! [X0] :
( ~ sQ123_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f599,f76]) ).
fof(f2771,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f599,f41]) ).
fof(f2772,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(X0,e_5,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f599,f39]) ).
fof(f2773,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(e_5,X0,e_4)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f599,f39]) ).
fof(f2774,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f174,f73]) ).
fof(f2775,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f174,f71]) ).
fof(f2776,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f174,f69]) ).
fof(f2777,plain,
! [X0] :
( ~ sQ19_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f174,f76]) ).
fof(f2778,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f174,f41]) ).
fof(f2779,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(X0,e_3,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f174,f39]) ).
fof(f2780,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f174,f39]) ).
fof(f2781,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f114,f73]) ).
fof(f2782,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f114,f71]) ).
fof(f2783,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f114,f69]) ).
fof(f2784,plain,
! [X0] :
( ~ sQ0_spl
| product(X0,e_3,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f114,f76]) ).
fof(f2785,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f114,f41]) ).
fof(f2786,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_3,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f114,f39]) ).
fof(f2787,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f114,f39]) ).
fof(f2788,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2235,f73]) ).
fof(f2789,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f2235,f71]) ).
fof(f2790,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2235,f69]) ).
fof(f2791,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2235,f76]) ).
fof(f2792,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| ~ product(X0,e_1,e_5)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2235,f41]) ).
fof(f2793,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| ~ product(X0,e_1,e_5)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2235,f39]) ).
fof(f2794,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ115_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2235,f39]) ).
fof(f2796,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f133,f73]) ).
fof(f2797,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f133,f71]) ).
fof(f2798,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f133,f69]) ).
fof(f2799,plain,
! [X0] :
( ~ sQ6_spl
| product(X0,e_3,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f133,f76]) ).
fof(f2800,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f133,f41]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(X0,e_3,e_2)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f133,f39]) ).
fof(f2802,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f133,f39]) ).
fof(f2803,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1345,f73]) ).
fof(f2804,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1345,f71]) ).
fof(f2805,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1345,f69]) ).
fof(f2806,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| product(X0,e_5,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1345,f76]) ).
fof(f2807,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1345,f41]) ).
fof(f2808,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| ~ product(X0,e_5,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1345,f39]) ).
fof(f2809,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ64_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1345,f39]) ).
fof(f2810,plain,
( ~ sQ67_spl
| ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f2262,f1055]) ).
fof(f2811,plain,
( ~ sQ67_spl
| ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f2262,f1054]) ).
fof(f2812,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2262,f73]) ).
fof(f2813,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2262,f71]) ).
fof(f2814,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2262,f69]) ).
fof(f2815,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| product(X0,e_3,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2262,f76]) ).
fof(f2816,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2262,f41]) ).
fof(f2817,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| ~ product(X0,e_3,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2262,f39]) ).
fof(f2818,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2262,f39]) ).
fof(f2819,plain,
( ~ sQ67_spl
| ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f2810,f240,f312,f214,f573,f344]) ).
fof(f2820,plain,
( ~ sQ67_spl
| ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ57_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2811,f253,f312,f214,f573,f344]) ).
fof(f2821,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f2412,f174]) ).
fof(f2822,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f545,f73]) ).
fof(f2823,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f545,f71]) ).
fof(f2824,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f545,f69]) ).
fof(f2825,plain,
! [X0] :
( ~ sQ106_spl
| product(X0,e_5,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f545,f76]) ).
fof(f2826,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(X0,e_5,e_4)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f545,f41]) ).
fof(f2827,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(X0,e_5,e_4)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f545,f39]) ).
fof(f2828,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f545,f39]) ).
fof(f2829,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f282,f73]) ).
fof(f2830,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f282,f71]) ).
fof(f2831,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f282,f69]) ).
fof(f2832,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_2,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f282,f76]) ).
fof(f2833,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f282,f41]) ).
fof(f2834,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(X0,e_2,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f282,f39]) ).
fof(f2835,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f282,f39]) ).
fof(f2836,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2513,f73]) ).
fof(f2837,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2513,f71]) ).
fof(f2838,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2513,f69]) ).
fof(f2839,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ51_spl
| product(X0,e_2,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2513,f76]) ).
fof(f2840,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ51_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2513,f41]) ).
fof(f2841,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ51_spl
| ~ product(X0,e_2,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2513,f39]) ).
fof(f2842,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ51_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2513,f39]) ).
fof(f2843,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2413,f282]) ).
fof(f2844,plain,
( ~ sQ122_spl
| ~ sQ51_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f2413,f2513]) ).
fof(f2845,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2843,f601,f293,f281]) ).
fof(f2846,plain,
( ~ sQ67_spl
| ~ sQ5_spl
| ~ sQ48_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f2107,f1053]) ).
fof(f2847,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2107,f73]) ).
fof(f2848,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2107,f71]) ).
fof(f2849,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2107,f69]) ).
fof(f2850,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| product(X0,e_1,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2107,f76]) ).
fof(f2851,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2107,f41]) ).
fof(f2852,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| ~ product(X0,e_1,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2107,f39]) ).
fof(f2853,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ48_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2107,f39]) ).
fof(f2854,plain,
( ~ sQ67_spl
| ~ sQ5_spl
| ~ sQ48_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f2846,f177,f278,f129,f344]) ).
fof(f2855,plain,
( ~ sQ118_spl
| ~ sQ75_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f2082,f347,f430,f582]) ).
fof(f2856,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1546,f73]) ).
fof(f2857,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1546,f71]) ).
fof(f2858,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1546,f69]) ).
fof(f2859,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1546,f76]) ).
fof(f2860,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1546,f41]) ).
fof(f2861,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| ~ product(X0,e_5,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1546,f39]) ).
fof(f2862,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1546,f39]) ).
fof(f2873,plain,
! [X0] :
( ~ sQ76_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f434,f76]) ).
fof(f2874,plain,
! [X0] :
( ~ sQ76_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f434,f41]) ).
fof(f2875,plain,
! [X0] :
( ~ sQ76_spl
| ~ product(X0,e_4,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f434,f39]) ).
fof(f2876,plain,
! [X0] :
( ~ sQ76_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f434,f39]) ).
fof(f2877,plain,
( ~ sQ64_spl
| ~ sQ15_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f162,f1086]) ).
fof(f2878,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f162,f73]) ).
fof(f2879,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f162,f71]) ).
fof(f2880,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f162,f69]) ).
fof(f2881,plain,
! [X0] :
( ~ sQ15_spl
| product(X0,e_3,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f162,f76]) ).
fof(f2882,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f162,f41]) ).
fof(f2883,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(X0,e_3,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f162,f39]) ).
fof(f2884,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f162,f39]) ).
fof(f2885,plain,
( ~ sQ64_spl
| ~ sQ15_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f2877,f573,f161,f334]) ).
fof(f2886,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1240,f73]) ).
fof(f2887,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1240,f71]) ).
fof(f2888,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1240,f69]) ).
fof(f2889,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1240,f76]) ).
fof(f2890,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1240,f41]) ).
fof(f2891,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(X0,e_5,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1240,f39]) ).
fof(f2892,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1240,f39]) ).
fof(f2893,plain,
( ~ sQ67_spl
| ~ sQ35_spl
| ~ sQ110_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1890,f345]) ).
fof(f2894,plain,
( ~ sQ67_spl
| ~ sQ35_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2893,f58]) ).
fof(f2895,plain,
( ~ sQ67_spl
| ~ sQ35_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f2894]) ).
fof(f2896,plain,
( ~ sQ76_spl
| ~ sQ113_spl
| ~ sQ38_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f2462,f2212]) ).
fof(f2897,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2462,f73]) ).
fof(f2898,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2462,f71]) ).
fof(f2899,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2462,f69]) ).
fof(f2900,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2462,f76]) ).
fof(f2901,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2462,f41]) ).
fof(f2902,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| ~ product(X0,e_3,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2462,f39]) ).
fof(f2903,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ38_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2462,f39]) ).
fof(f2914,plain,
! [X0] :
( ~ sQ90_spl
| product(X0,e_4,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f479,f76]) ).
fof(f2925,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1546,f73]) ).
fof(f2926,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1546,f71]) ).
fof(f2927,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1546,f69]) ).
fof(f2928,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1546,f76]) ).
fof(f2929,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1546,f41]) ).
fof(f2930,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| ~ product(X0,e_5,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1546,f39]) ).
fof(f2931,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1546,f39]) ).
fof(f2933,plain,
( ~ sQ76_spl
| ~ sQ113_spl
| ~ sQ38_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2896,f2213]) ).
fof(f2934,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2896,f73]) ).
fof(f2935,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2896,f71]) ).
fof(f2936,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2896,f69]) ).
fof(f2942,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2933,f73]) ).
fof(f2943,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2933,f71]) ).
fof(f2944,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ113_spl
| ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2933,f69]) ).
fof(f2949,plain,
( ~ sQ90_spl
| ~ sQ53_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f1392,f479]) ).
fof(f2953,plain,
! [X0] :
( ~ sQ89_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f475,f76]) ).
fof(f2971,plain,
( ~ sQ90_spl
| ~ sQ53_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1393,f479]) ).
fof(f2973,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2971,f73]) ).
fof(f2974,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f2971,f71]) ).
fof(f2975,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2971,f69]) ).
fof(f2976,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ53_spl
| product(X0,e_2,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2971,f76]) ).
fof(f2977,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ53_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2971,f41]) ).
fof(f2978,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ53_spl
| ~ product(X0,e_2,e_5)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2971,f39]) ).
fof(f2979,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ53_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2971,f39]) ).
fof(f2981,plain,
( ~ sQ34_spl
| ~ sQ90_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1550,f1546]) ).
fof(f2982,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f250,f73]) ).
fof(f2983,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f250,f71]) ).
fof(f2984,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f250,f69]) ).
fof(f2985,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f250,f76]) ).
fof(f2986,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_2,e_5)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f250,f41]) ).
fof(f2987,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_2,e_5)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f250,f39]) ).
fof(f2988,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f250,f39]) ).
fof(f2989,plain,
( ~ sQ53_spl
| ~ sQ75_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f431,f1393]) ).
fof(f2990,plain,
( ~ sQ53_spl
| ~ sQ75_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f431,f1392]) ).
fof(f2991,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f431,f73]) ).
fof(f2992,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f431,f71]) ).
fof(f2993,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f69]) ).
fof(f2994,plain,
! [X0] :
( ~ sQ75_spl
| product(X0,e_4,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f431,f76]) ).
fof(f2995,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(X0,e_4,e_5)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f431,f41]) ).
fof(f2996,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(X0,e_4,e_5)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f431,f39]) ).
fof(f2997,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f431,f39]) ).
fof(f2998,plain,
( ~ sQ53_spl
| ~ sQ75_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2989,f534,f430,f299]) ).
fof(f2999,plain,
( ~ sQ53_spl
| ~ sQ75_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2990,f601,f430,f299]) ).
fof(f3000,plain,
( ~ sQ30_spl
| ~ sQ23_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2435,f344,f186,f221]) ).
fof(f3001,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2821,f73]) ).
fof(f3002,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2821,f71]) ).
fof(f3003,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2821,f69]) ).
fof(f3004,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| product(X0,e_2,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2821,f76]) ).
fof(f3005,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2821,f41]) ).
fof(f3006,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| ~ product(X0,e_2,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2821,f39]) ).
fof(f3007,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2821,f39]) ).
fof(f3008,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1557,f250]) ).
fof(f3009,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f3008,f132,f474,f249]) ).
fof(f3010,plain,
( ~ sQ118_spl
| ~ sQ27_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f2722,f436,f211,f582]) ).
fof(f3011,plain,
( ~ sQ90_spl
| ~ sQ53_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f2971,f233,f299,f478]) ).
fof(f3012,plain,
( ~ sQ90_spl
| ~ sQ53_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f2949,f592,f299,f478]) ).
fof(f3013,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ61_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1194,f122,f325,f281,f233]) ).
fof(f3014,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| ~ sQ61_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1195,f484,f325,f281,f233]) ).
fof(f3015,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2270,f73]) ).
fof(f3016,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ61_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2270,f71]) ).
fof(f3017,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2270,f69]) ).
fof(f3018,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ61_spl
| product(X0,e_3,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2270,f76]) ).
fof(f3019,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ61_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2270,f41]) ).
fof(f3020,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ61_spl
| ~ product(X0,e_3,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2270,f39]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ61_spl
| ~ product(e_3,X0,e_5)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2270,f39]) ).
fof(f3022,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1240,f73]) ).
fof(f3023,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1240,f71]) ).
fof(f3024,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1240,f69]) ).
fof(f3025,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1240,f76]) ).
fof(f3026,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1240,f41]) ).
fof(f3027,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(X0,e_5,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1240,f39]) ).
fof(f3028,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ1_spl
| ~ product(e_5,X0,e_1)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1240,f39]) ).
fof(f3029,plain,
( ~ sQ53_spl
| ~ sQ123_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f599,f1394]) ).
fof(f3030,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f599,f73]) ).
fof(f3031,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f599,f71]) ).
fof(f3032,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f599,f69]) ).
fof(f3033,plain,
! [X0] :
( ~ sQ123_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f599,f76]) ).
fof(f3034,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f599,f41]) ).
fof(f3035,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(X0,e_5,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f599,f39]) ).
fof(f3036,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(e_5,X0,e_4)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f599,f39]) ).
fof(f3037,plain,
( ~ sQ53_spl
| ~ sQ123_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f3029,f446,f598,f299]) ).
fof(f3038,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f313,f73]) ).
fof(f3039,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f313,f71]) ).
fof(f3040,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f313,f69]) ).
fof(f3041,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_1,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f313,f76]) ).
fof(f3042,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f313,f41]) ).
fof(f3043,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(X0,e_1,e_3)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f313,f39]) ).
fof(f3044,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f313,f39]) ).
fof(f3046,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1546,f73]) ).
fof(f3047,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1546,f71]) ).
fof(f3048,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1546,f69]) ).
fof(f3049,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1546,f76]) ).
fof(f3050,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1546,f41]) ).
fof(f3051,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| ~ product(X0,e_5,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1546,f39]) ).
fof(f3052,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ90_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1546,f39]) ).
fof(f3053,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2821,f73]) ).
fof(f3054,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2821,f71]) ).
fof(f3055,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2821,f69]) ).
fof(f3056,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| product(X0,e_2,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2821,f76]) ).
fof(f3057,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2821,f41]) ).
fof(f3058,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| ~ product(X0,e_2,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2821,f39]) ).
fof(f3059,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ51_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2821,f39]) ).
fof(f3060,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1278,f73]) ).
fof(f3061,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1278,f71]) ).
fof(f3062,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1278,f69]) ).
fof(f3063,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1278,f76]) ).
fof(f3064,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(X0,e_5,e_3)
| product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1278,f41]) ).
fof(f3065,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(X0,e_5,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1278,f39]) ).
fof(f3066,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(e_5,X0,e_2)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1278,f39]) ).
fof(f3067,plain,
( ~ sQ53_spl
| ~ sQ90_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f479,f1393]) ).
fof(f3068,plain,
( ~ sQ53_spl
| ~ sQ90_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f479,f1392]) ).
fof(f3083,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f348,f73]) ).
fof(f3084,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f348,f71]) ).
fof(f3085,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f348,f69]) ).
fof(f3086,plain,
! [X0] :
( ~ sQ68_spl
| product(X0,e_1,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f348,f76]) ).
fof(f3087,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f348,f41]) ).
fof(f3088,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(X0,e_1,e_4)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f348,f39]) ).
fof(f3089,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f348,f39]) ).
fof(f3090,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1347,f73]) ).
fof(f3091,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1347,f71]) ).
fof(f3092,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1347,f69]) ).
fof(f3093,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| product(X0,e_4,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1347,f76]) ).
fof(f3094,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1347,f41]) ).
fof(f3095,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(X0,e_4,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1347,f39]) ).
fof(f3096,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ3_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1347,f39]) ).
fof(f3097,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2580,f73]) ).
fof(f3098,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2580,f71]) ).
fof(f3099,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2580,f69]) ).
fof(f3100,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2580,f76]) ).
fof(f3101,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_5)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2580,f41]) ).
fof(f3102,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2580,f39]) ).
fof(f3103,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2580,f39]) ).
fof(f3104,plain,
( ~ sQ53_spl
| ~ sQ47_spl
| ~ sQ51_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f2561,f1394]) ).
fof(f3105,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2561,f73]) ).
fof(f3106,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f2561,f71]) ).
fof(f3107,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2561,f69]) ).
fof(f3108,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2561,f76]) ).
fof(f3109,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| ~ product(X0,e_5,e_1)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2561,f41]) ).
fof(f3110,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| ~ product(X0,e_5,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2561,f39]) ).
fof(f3111,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ51_spl
| ~ product(e_5,X0,e_3)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2561,f39]) ).
fof(f3119,plain,
( ~ sQ53_spl
| ~ sQ34_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f234,f1391]) ).
fof(f3120,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f234,f73]) ).
fof(f3121,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f234,f71]) ).
fof(f3122,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f234,f69]) ).
fof(f3127,plain,
( ~ sQ34_spl
| ~ sQ90_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1551,f234]) ).
fof(f3129,plain,
( ~ sQ68_spl
| ~ sQ90_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f1553,f348]) ).
fof(f3130,plain,
( ~ sQ53_spl
| ~ sQ90_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1553,f300]) ).
fof(f3131,plain,
( ~ sQ68_spl
| ~ sQ90_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f3129,f224,f478,f347]) ).
fof(f3154,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f206,f73]) ).
fof(f3155,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f206,f71]) ).
fof(f3156,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f206,f69]) ).
fof(f3184,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1244,f434]) ).
fof(f3219,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f580,f73]) ).
fof(f3220,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f580,f71]) ).
fof(f3221,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f580,f69]) ).
fof(f3222,plain,
! [X0] :
( ~ sQ117_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f580,f76]) ).
fof(f3223,plain,
! [X0] :
( ~ sQ117_spl
| ~ product(X0,e_5,e_2)
| product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f580,f41]) ).
fof(f3224,plain,
! [X0] :
( ~ sQ117_spl
| ~ product(X0,e_5,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f580,f39]) ).
fof(f3227,plain,
( ~ sQ53_spl
| ~ sQ121_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1746,f300]) ).
fof(f3228,plain,
( ~ sQ34_spl
| ~ sQ121_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1747,f234]) ).
fof(f3229,plain,
( ~ sQ90_spl
| ~ sQ121_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1744,f479]) ).
fof(f3237,plain,
( ~ sQ53_spl
| ~ sQ121_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1745,f300]) ).
fof(f3238,plain,
( ~ sQ1_spl
| ~ sQ76_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f2873,f117]) ).
fof(f3248,plain,
( ~ sQ76_spl
| ~ sQ113_spl
| ~ sQ38_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f2875,f2896]) ).
fof(f3259,plain,
( ~ sQ53_spl
| ~ sQ34_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f927,f300]) ).
fof(f3263,plain,
( ~ sQ34_spl
| ~ sQ90_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f929,f1546]) ).
fof(f3269,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f196,f206]) ).
fof(f3270,plain,
( ~ sQ117_spl
| ~ sQ24_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f197,f580]) ).
fof(f3273,plain,
( ~ sQ117_spl
| ~ sQ24_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f198,f580]) ).
fof(f3274,plain,
( ~ sQ67_spl
| ~ sQ24_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f199,f345]) ).
fof(f3275,plain,
( ~ sQ97_spl
| ~ sQ18_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f620,f501]) ).
fof(f3280,plain,
( ~ sQ97_spl
| ~ sQ18_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f621,f501]) ).
fof(f3281,plain,
( ~ sQ47_spl
| ~ sQ18_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f622,f276]) ).
fof(f3282,plain,
( ~ sQ56_spl
| ~ sQ18_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f619,f310]) ).
fof(f3285,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1290,f190]) ).
fof(f3286,plain,
( ~ sQ67_spl
| ~ sQ25_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f1291,f345]) ).
fof(f3289,plain,
( ~ sQ67_spl
| ~ sQ25_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1292,f345]) ).
fof(f3290,plain,
( ~ sQ117_spl
| ~ sQ25_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1293,f580]) ).
fof(f3294,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1943,f130]) ).
fof(f3295,plain,
( ~ sQ89_spl
| ~ sQ105_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1944,f475]) ).
fof(f3299,plain,
( ~ sQ89_spl
| ~ sQ105_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1945,f475]) ).
fof(f3300,plain,
( ~ sQ64_spl
| ~ sQ105_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1946,f335]) ).
fof(f3305,plain,
( ~ sQ5_spl
| ~ sQ89_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f1558,f130]) ).
fof(f3306,plain,
( ~ sQ5_spl
| ~ sQ89_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1559,f130]) ).
fof(f3307,plain,
( ~ sQ105_spl
| ~ sQ89_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1560,f542]) ).
fof(f3308,plain,
( ~ sQ64_spl
| ~ sQ89_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f2953,f335]) ).
fof(f3309,plain,
( ~ sQ105_spl
| ~ sQ5_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f762,f542]) ).
fof(f3313,plain,
( ~ sQ64_spl
| ~ sQ5_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f763,f335]) ).
fof(f3314,plain,
( ~ sQ64_spl
| ~ sQ5_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f764,f335]) ).
fof(f3315,plain,
( ~ sQ89_spl
| ~ sQ5_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f765,f475]) ).
fof(f3316,plain,
( ~ sQ89_spl
| ~ sQ64_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f1083,f475]) ).
fof(f3317,plain,
( ~ sQ105_spl
| ~ sQ64_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1084,f542]) ).
fof(f3318,plain,
( ~ sQ105_spl
| ~ sQ64_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1085,f542]) ).
fof(f3322,plain,
( ~ sQ5_spl
| ~ sQ64_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f1086,f130]) ).
fof(f3324,plain,
( ~ sQ76_spl
| ~ sQ38_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f892,f434]) ).
fof(f3325,plain,
( ~ sQ76_spl
| ~ sQ38_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f893,f434]) ).
fof(f3326,plain,
( ~ sQ1_spl
| ~ sQ38_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f2469,f117]) ).
fof(f3328,plain,
( ~ sQ97_spl
| ~ sQ47_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f2419,f501]) ).
fof(f3329,plain,
( ~ sQ18_spl
| ~ sQ47_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f2420,f171]) ).
fof(f3330,plain,
( ~ sQ18_spl
| ~ sQ47_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f2421,f171]) ).
fof(f3333,plain,
( ~ sQ56_spl
| ~ sQ47_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f2422,f310]) ).
fof(f3334,plain,
( ~ sQ117_spl
| ~ sQ67_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1053,f580]) ).
fof(f3335,plain,
( ~ sQ24_spl
| ~ sQ67_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1054,f190]) ).
fof(f3336,plain,
( ~ sQ24_spl
| ~ sQ67_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f1055,f190]) ).
fof(f3337,plain,
( ~ sQ25_spl
| ~ sQ67_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1056,f206]) ).
fof(f3341,plain,
( ~ sQ67_spl
| ~ sQ24_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1106,f345]) ).
fof(f3344,plain,
( ~ sQ24_spl
| ~ sQ117_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1784,f190]) ).
fof(f3347,plain,
( ~ sQ18_spl
| ~ sQ56_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1218,f171]) ).
fof(f3348,plain,
( ~ sQ47_spl
| ~ sQ56_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1219,f276]) ).
fof(f3349,plain,
( ~ sQ47_spl
| ~ sQ56_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1220,f276]) ).
fof(f3351,plain,
( ~ sQ97_spl
| ~ sQ56_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1221,f501]) ).
fof(f3352,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1457,f276]) ).
fof(f3356,plain,
( ~ sQ56_spl
| ~ sQ97_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1458,f310]) ).
fof(f3357,plain,
( ~ sQ56_spl
| ~ sQ97_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1459,f310]) ).
fof(f3358,plain,
( ~ sQ18_spl
| ~ sQ97_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1460,f171]) ).
fof(f3359,plain,
( ~ sQ76_spl
| ~ sQ113_spl
| ~ sQ38_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1850,f2933]) ).
fof(f3360,plain,
( ~ sQ1_spl
| ~ sQ113_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1851,f117]) ).
fof(f3361,plain,
( ~ sQ1_spl
| ~ sQ113_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1852,f117]) ).
fof(f3362,plain,
( ~ sQ76_spl
| ~ sQ113_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1853,f434]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| ~ sQ62_spl
| ~ sQ63_spl
| sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| sQ76_spl
| ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| sQ83_spl
| ~ sQ84_spl
| ~ sQ87_spl
| ~ sQ88_spl
| sQ89_spl
| sQ90_spl
| ~ sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| sQ97_spl
| ~ sQ98_spl
| ~ sQ100_spl
| ~ sQ101_spl
| ~ sQ102_spl
| ~ sQ103_spl
| sQ104_spl
| sQ105_spl
| ~ sQ108_spl
| ~ sQ109_spl
| ~ sQ112_spl
| sQ113_spl
| ~ sQ114_spl
| ~ sQ115_spl
| ~ sQ116_spl
| sQ117_spl
| ~ sQ119_spl
| ~ sQ120_spl
| sQ121_spl
| ~ sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP126-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:00:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 1.16/0.61 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 1.16/0.61 % SZS output start Saturation for theBenchmark
% See solution above
% 1.16/0.65 % Elapsed time: 0.267859 seconds
% 1.16/0.65 % CPU time: 1.710121 seconds
% 1.16/0.65 % Total memory used: 39.030 MB
% 1.16/0.65 % Net memory used: 37.220 MB
%------------------------------------------------------------------------------