%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP123-6.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:35:42 PM UTC 2026
% Result : Satisfiable 4.76s 1.03s
% Output : Saturation 4.76s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] :
( product1(X,Y,e_5)
| product1(X,Y,e_4)
| product1(X,Y,e_3)
| product1(X,Y,e_2)
| product1(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y] :
( product2(X,Y,e_5)
| product2(X,Y,e_4)
| product2(X,Y,e_3)
| product2(X,Y,e_2)
| product2(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X] : product2(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [X,Y,Z1,Z2] :
( product2(Z2,X,Y)
| ~ product1(Z1,Y,Z2)
| ~ product1(X,Y,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f40,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f41,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f42,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f43,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f44,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f45,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f46,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f47,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f48,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f49,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f50,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f51,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f52,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f53,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f54,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f55,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f56,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f57,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f58,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f59,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f60,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f61,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f62,plain,
! [X0,X1] :
( product1(X0,X1,e_5)
| product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f63,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product1(X0,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f70,plain,
! [X0,X1] :
( product2(X0,X1,e_5)
| product2(X0,X1,e_4)
| product2(X0,X1,e_3)
| product2(X0,X1,e_2)
| product2(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f71,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0] : product2(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f78,plain,
! [X,Y,Z2] :
( product2(Z2,X,Y)
| ! [Z1] :
( ~ product1(Z1,Y,Z2)
| ~ product1(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( product2(X3,X0,X1)
| ~ product1(X2,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f69,f64]) ).
fof(f81,plain,
! [X0,X1] :
( product2(X1,X0,X1)
| ~ product1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f69,f79]) ).
fof(f82,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f66,f69]) ).
fof(f83,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f68,f69]) ).
fof(f85,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X0,X1) ),
inference(resolution,[status(thm)],[f72,f77]) ).
fof(f86,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f80,f69]) ).
fof(f87,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f74,f77]) ).
fof(f88,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product2(X0,X1,X1) ),
inference(resolution,[status(thm)],[f76,f77]) ).
fof(f94,plain,
! [X0] :
( product1(X0,e_5,e_5)
| product1(X0,e_5,e_4)
| product1(X0,e_5,e_3)
| product1(X0,e_5,e_2)
| product1(X0,e_5,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f41]) ).
fof(f95,plain,
! [X0] :
( product1(X0,e_4,e_5)
| product1(X0,e_4,e_4)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f40]) ).
fof(f96,plain,
! [X0] :
( product1(X0,e_3,e_5)
| product1(X0,e_3,e_4)
| product1(X0,e_3,e_3)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f39]) ).
fof(f97,plain,
! [X0] :
( product1(X0,e_2,e_5)
| product1(X0,e_2,e_4)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f38]) ).
fof(f98,plain,
! [X0] :
( product1(X0,e_1,e_5)
| product1(X0,e_1,e_4)
| product1(X0,e_1,e_3)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f37]) ).
fof(f99,plain,
! [X0] :
( product2(X0,e_5,e_5)
| product2(X0,e_5,e_4)
| product2(X0,e_5,e_3)
| product2(X0,e_5,e_2)
| product2(X0,e_5,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f70,f41]) ).
fof(f100,plain,
! [X0] :
( product2(X0,e_4,e_5)
| product2(X0,e_4,e_4)
| product2(X0,e_4,e_3)
| product2(X0,e_4,e_2)
| product2(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f70,f40]) ).
fof(f101,plain,
! [X0] :
( product2(X0,e_3,e_5)
| product2(X0,e_3,e_4)
| product2(X0,e_3,e_3)
| product2(X0,e_3,e_2)
| product2(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f70,f39]) ).
fof(f102,plain,
! [X0] :
( product2(X0,e_2,e_5)
| product2(X0,e_2,e_4)
| product2(X0,e_2,e_3)
| product2(X0,e_2,e_2)
| product2(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f70,f38]) ).
fof(f103,plain,
! [X0] :
( product2(X0,e_1,e_5)
| product2(X0,e_1,e_4)
| product2(X0,e_1,e_3)
| product2(X0,e_1,e_2)
| product2(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f70,f37]) ).
fof(f104,plain,
( product1(e_5,e_5,e_5)
| product1(e_5,e_5,e_4)
| product1(e_5,e_5,e_3)
| product1(e_5,e_5,e_2)
| product1(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f41]) ).
fof(f105,plain,
( product1(e_4,e_5,e_5)
| product1(e_4,e_5,e_4)
| product1(e_4,e_5,e_3)
| product1(e_4,e_5,e_2)
| product1(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f40]) ).
fof(f106,plain,
( product1(e_3,e_5,e_5)
| product1(e_3,e_5,e_4)
| product1(e_3,e_5,e_3)
| product1(e_3,e_5,e_2)
| product1(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f39]) ).
fof(f107,plain,
( product1(e_2,e_5,e_5)
| product1(e_2,e_5,e_4)
| product1(e_2,e_5,e_3)
| product1(e_2,e_5,e_2)
| product1(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f38]) ).
fof(f108,plain,
( product1(e_1,e_5,e_5)
| product1(e_1,e_5,e_4)
| product1(e_1,e_5,e_3)
| product1(e_1,e_5,e_2)
| product1(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f37]) ).
fof(f109,definition,
( sQ0_spl
<=> product1(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ0_spl
| product1(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( sQ0_spl
| ~ product1(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,definition,
( sQ1_spl
<=> product1(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ1_spl
| product1(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f114,plain,
( sQ1_spl
| ~ product1(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ2_spl
<=> product1(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ2_spl
| product1(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f117,plain,
( sQ2_spl
| ~ product1(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ3_spl
<=> product1(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ3_spl
| product1(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ3_spl
| ~ product1(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ4_spl
<=> product1(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f104,f109,f112,f115,f118,f121]) ).
fof(f125,definition,
( sQ5_spl
<=> product1(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ5_spl
| product1(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f127,plain,
( sQ5_spl
| ~ product1(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,definition,
( sQ6_spl
<=> product1(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ6_spl
| product1(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f130,plain,
( sQ6_spl
| ~ product1(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,definition,
( sQ7_spl
<=> product1(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ7_spl
| product1(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f133,plain,
( sQ7_spl
| ~ product1(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,definition,
( sQ8_spl
<=> product1(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ8_spl
| product1(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( sQ8_spl
| ~ product1(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ9_spl
<=> product1(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ9_spl
| product1(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ9_spl
| ~ product1(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f105,f125,f128,f131,f134,f137]) ).
fof(f141,definition,
( sQ10_spl
<=> product1(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ10_spl
| product1(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( sQ10_spl
| ~ product1(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ11_spl
<=> product1(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ11_spl
| product1(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f146,plain,
( sQ11_spl
| ~ product1(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
( sQ12_spl
<=> product1(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ12_spl
| product1(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f149,plain,
( sQ12_spl
| ~ product1(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ13_spl
<=> product1(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ13_spl
| product1(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( sQ13_spl
| ~ product1(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ14_spl
<=> product1(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ14_spl
| product1(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ14_spl
| ~ product1(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f106,f141,f144,f147,f150,f153]) ).
fof(f157,definition,
( sQ15_spl
<=> product1(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ15_spl
| product1(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ15_spl
| ~ product1(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ16_spl
<=> product1(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ16_spl
| product1(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( sQ16_spl
| ~ product1(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
( sQ17_spl
<=> product1(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ17_spl
| product1(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f165,plain,
( sQ17_spl
| ~ product1(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ18_spl
<=> product1(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ18_spl
| product1(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ18_spl
| ~ product1(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ19_spl
<=> product1(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ19_spl
| product1(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ19_spl
| ~ product1(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f107,f157,f160,f163,f166,f169]) ).
fof(f173,definition,
( sQ20_spl
<=> product1(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ20_spl
| product1(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( sQ20_spl
| ~ product1(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,definition,
( sQ21_spl
<=> product1(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ21_spl
| product1(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f178,plain,
( sQ21_spl
| ~ product1(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,definition,
( sQ22_spl
<=> product1(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ22_spl
| product1(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ22_spl
| ~ product1(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ23_spl
<=> product1(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ23_spl
| product1(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f184,plain,
( sQ23_spl
| ~ product1(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ24_spl
<=> product1(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ24_spl
| product1(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ24_spl
| ~ product1(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f108,f173,f176,f179,f182,f185]) ).
fof(f189,plain,
( product1(e_5,e_4,e_5)
| product1(e_5,e_4,e_4)
| product1(e_5,e_4,e_3)
| product1(e_5,e_4,e_2)
| product1(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f95,f41]) ).
fof(f190,plain,
( product1(e_4,e_4,e_5)
| product1(e_4,e_4,e_4)
| product1(e_4,e_4,e_3)
| product1(e_4,e_4,e_2)
| product1(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f95,f40]) ).
fof(f191,plain,
( product1(e_3,e_4,e_5)
| product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f95,f39]) ).
fof(f192,plain,
( product1(e_2,e_4,e_5)
| product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f95,f38]) ).
fof(f193,plain,
( product1(e_1,e_4,e_5)
| product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f95,f37]) ).
fof(f194,definition,
( sQ25_spl
<=> product1(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ25_spl
| product1(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f196,plain,
( sQ25_spl
| ~ product1(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ26_spl
<=> product1(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ26_spl
| product1(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( sQ26_spl
| ~ product1(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ27_spl
<=> product1(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ27_spl
| product1(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( sQ27_spl
| ~ product1(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,definition,
( sQ28_spl
<=> product1(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ28_spl
| product1(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f205,plain,
( sQ28_spl
| ~ product1(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ29_spl
<=> product1(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ29_spl
| product1(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ29_spl
| ~ product1(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f189,f194,f197,f200,f203,f206]) ).
fof(f210,definition,
( sQ30_spl
<=> product1(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ30_spl
| product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ30_spl
| ~ product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ31_spl
<=> product1(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ31_spl
| product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ31_spl
| ~ product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
( sQ32_spl
<=> product1(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ32_spl
| product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ32_spl
| ~ product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ33_spl
<=> product1(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f222,definition,
( sQ34_spl
<=> product1(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ34_spl
| product1(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ34_spl
| ~ product1(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f190,f210,f213,f216,f219,f222]) ).
fof(f226,definition,
( sQ35_spl
<=> product1(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ35_spl
| product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( sQ35_spl
| ~ product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ36_spl
<=> product1(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ36_spl
| product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( sQ36_spl
| ~ product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ37_spl
<=> product1(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ37_spl
| product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ37_spl
| ~ product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ38_spl
<=> product1(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ38_spl
| product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ38_spl
| ~ product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ39_spl
<=> product1(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ39_spl
| product1(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ39_spl
| ~ product1(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f191,f226,f229,f232,f235,f238]) ).
fof(f242,definition,
( sQ40_spl
<=> product1(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ40_spl
| product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ40_spl
| ~ product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ41_spl
<=> product1(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ41_spl
| product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ41_spl
| ~ product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ42_spl
<=> product1(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ42_spl
| product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ42_spl
| ~ product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ43_spl
<=> product1(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ43_spl
| product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ43_spl
| ~ product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ44_spl
<=> product1(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ44_spl
| product1(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ44_spl
| ~ product1(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f192,f242,f245,f248,f251,f254]) ).
fof(f258,definition,
( sQ45_spl
<=> product1(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ45_spl
| product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ45_spl
| ~ product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ46_spl
<=> product1(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ46_spl
| product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( sQ46_spl
| ~ product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,definition,
( sQ47_spl
<=> product1(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ47_spl
| product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f266,plain,
( sQ47_spl
| ~ product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,definition,
( sQ48_spl
<=> product1(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ48_spl
| product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( sQ48_spl
| ~ product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,definition,
( sQ49_spl
<=> product1(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ49_spl
| product1(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( sQ49_spl
| ~ product1(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f193,f258,f261,f264,f267,f270]) ).
fof(f274,plain,
( product1(e_5,e_3,e_5)
| product1(e_5,e_3,e_4)
| product1(e_5,e_3,e_3)
| product1(e_5,e_3,e_2)
| product1(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f41]) ).
fof(f275,plain,
( product1(e_4,e_3,e_5)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f40]) ).
fof(f276,plain,
( product1(e_3,e_3,e_5)
| product1(e_3,e_3,e_4)
| product1(e_3,e_3,e_3)
| product1(e_3,e_3,e_2)
| product1(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f39]) ).
fof(f277,plain,
( product1(e_2,e_3,e_5)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f38]) ).
fof(f278,plain,
( product1(e_1,e_3,e_5)
| product1(e_1,e_3,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f37]) ).
fof(f279,definition,
( sQ50_spl
<=> product1(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ50_spl
| product1(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ50_spl
| ~ product1(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ51_spl
<=> product1(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ51_spl
| product1(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ51_spl
| ~ product1(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ52_spl
<=> product1(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ52_spl
| product1(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ52_spl
| ~ product1(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ53_spl
<=> product1(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ53_spl
| product1(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( sQ53_spl
| ~ product1(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ54_spl
<=> product1(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ54_spl
| product1(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ54_spl
| ~ product1(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f274,f279,f282,f285,f288,f291]) ).
fof(f295,definition,
( sQ55_spl
<=> product1(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ55_spl
| product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ55_spl
| ~ product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ56_spl
<=> product1(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ56_spl
| product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ56_spl
| ~ product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ57_spl
<=> product1(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ57_spl
| product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( sQ57_spl
| ~ product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ58_spl
<=> product1(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ58_spl
| product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f306,plain,
( sQ58_spl
| ~ product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ59_spl
<=> product1(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ59_spl
| product1(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f309,plain,
( sQ59_spl
| ~ product1(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f275,f295,f298,f301,f304,f307]) ).
fof(f311,definition,
( sQ60_spl
<=> product1(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ60_spl
| product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ60_spl
| ~ product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ61_spl
<=> product1(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ61_spl
| product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ61_spl
| ~ product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ62_spl
<=> product1(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f320,definition,
( sQ63_spl
<=> product1(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ63_spl
| product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f322,plain,
( sQ63_spl
| ~ product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ64_spl
<=> product1(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ64_spl
| product1(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( sQ64_spl
| ~ product1(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f276,f311,f314,f317,f320,f323]) ).
fof(f327,definition,
( sQ65_spl
<=> product1(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ65_spl
| product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ65_spl
| ~ product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ66_spl
<=> product1(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ66_spl
| product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( sQ66_spl
| ~ product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ67_spl
<=> product1(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ67_spl
| product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f335,plain,
( sQ67_spl
| ~ product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ68_spl
<=> product1(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ68_spl
| product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f338,plain,
( sQ68_spl
| ~ product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ69_spl
<=> product1(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ69_spl
| product1(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f341,plain,
( sQ69_spl
| ~ product1(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f277,f327,f330,f333,f336,f339]) ).
fof(f343,definition,
( sQ70_spl
<=> product1(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ70_spl
| product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f345,plain,
( sQ70_spl
| ~ product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ71_spl
<=> product1(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ71_spl
| product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f348,plain,
( sQ71_spl
| ~ product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ72_spl
<=> product1(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ72_spl
| product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ72_spl
| ~ product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ73_spl
<=> product1(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ73_spl
| product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f354,plain,
( sQ73_spl
| ~ product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
( sQ74_spl
<=> product1(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ74_spl
| product1(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f357,plain,
( sQ74_spl
| ~ product1(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f278,f343,f346,f349,f352,f355]) ).
fof(f359,plain,
( product1(e_5,e_2,e_5)
| product1(e_5,e_2,e_4)
| product1(e_5,e_2,e_3)
| product1(e_5,e_2,e_2)
| product1(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f97,f41]) ).
fof(f360,plain,
( product1(e_4,e_2,e_5)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f97,f40]) ).
fof(f361,plain,
( product1(e_3,e_2,e_5)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f97,f39]) ).
fof(f362,plain,
( product1(e_2,e_2,e_5)
| product1(e_2,e_2,e_4)
| product1(e_2,e_2,e_3)
| product1(e_2,e_2,e_2)
| product1(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f97,f38]) ).
fof(f363,plain,
( product1(e_1,e_2,e_5)
| product1(e_1,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f97,f37]) ).
fof(f364,definition,
( sQ75_spl
<=> product1(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ75_spl
| product1(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ75_spl
| ~ product1(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ76_spl
<=> product1(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ76_spl
| product1(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ76_spl
| ~ product1(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ77_spl
<=> product1(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ77_spl
| product1(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ77_spl
| ~ product1(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ78_spl
<=> product1(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ78_spl
| product1(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f375,plain,
( sQ78_spl
| ~ product1(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ79_spl
<=> product1(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ79_spl
| product1(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ79_spl
| ~ product1(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f359,f364,f367,f370,f373,f376]) ).
fof(f380,definition,
( sQ80_spl
<=> product1(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ80_spl
| product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ80_spl
| ~ product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ81_spl
<=> product1(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ81_spl
| product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ81_spl
| ~ product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ82_spl
<=> product1(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ82_spl
| product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f388,plain,
( sQ82_spl
| ~ product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ83_spl
<=> product1(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ83_spl
| product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ83_spl
| ~ product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ84_spl
<=> product1(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ84_spl
| product1(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ84_spl
| ~ product1(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f360,f380,f383,f386,f389,f392]) ).
fof(f396,definition,
( sQ85_spl
<=> product1(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ85_spl
| product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( sQ85_spl
| ~ product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ86_spl
<=> product1(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ86_spl
| product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f401,plain,
( sQ86_spl
| ~ product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ87_spl
<=> product1(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ87_spl
| product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( sQ87_spl
| ~ product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ88_spl
<=> product1(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ88_spl
| product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ88_spl
| ~ product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ89_spl
<=> product1(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ89_spl
| product1(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f410,plain,
( sQ89_spl
| ~ product1(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f361,f396,f399,f402,f405,f408]) ).
fof(f412,definition,
( sQ90_spl
<=> product1(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ90_spl
| product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f414,plain,
( sQ90_spl
| ~ product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ91_spl
<=> product1(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f418,definition,
( sQ92_spl
<=> product1(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ92_spl
| product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( sQ92_spl
| ~ product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ93_spl
<=> product1(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ93_spl
| product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ93_spl
| ~ product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ94_spl
<=> product1(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ94_spl
| product1(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ94_spl
| ~ product1(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f362,f412,f415,f418,f421,f424]) ).
fof(f428,definition,
( sQ95_spl
<=> product1(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ95_spl
| product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f430,plain,
( sQ95_spl
| ~ product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ96_spl
<=> product1(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ96_spl
| product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( sQ96_spl
| ~ product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ97_spl
<=> product1(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ97_spl
| product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f436,plain,
( sQ97_spl
| ~ product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ98_spl
<=> product1(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ98_spl
| product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f439,plain,
( sQ98_spl
| ~ product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ99_spl
<=> product1(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ99_spl
| product1(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f442,plain,
( sQ99_spl
| ~ product1(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f363,f428,f431,f434,f437,f440]) ).
fof(f444,plain,
( ~ sQ24_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f186,f83]) ).
fof(f445,plain,
( ~ sQ24_spl
| product2(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f186,f81]) ).
fof(f446,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f186,f68]) ).
fof(f447,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f186,f66]) ).
fof(f448,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f186,f64]) ).
fof(f449,plain,
! [X0] :
( ~ sQ24_spl
| product2(e_5,X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f186,f79]) ).
fof(f450,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f45]) ).
fof(f451,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f450]) ).
fof(f452,plain,
( product1(e_5,e_1,e_5)
| product1(e_5,e_1,e_4)
| product1(e_5,e_1,e_3)
| product1(e_5,e_1,e_2)
| product1(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f41]) ).
fof(f453,plain,
( product1(e_4,e_1,e_5)
| product1(e_4,e_1,e_4)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f40]) ).
fof(f454,plain,
( product1(e_3,e_1,e_5)
| product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f39]) ).
fof(f455,plain,
( product1(e_2,e_1,e_5)
| product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f38]) ).
fof(f456,plain,
( product1(e_1,e_1,e_5)
| product1(e_1,e_1,e_4)
| product1(e_1,e_1,e_3)
| product1(e_1,e_1,e_2)
| product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f37]) ).
fof(f457,definition,
( sQ100_spl
<=> product1(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ100_spl
| product1(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ100_spl
| ~ product1(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ101_spl
<=> product1(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ101_spl
| product1(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f462,plain,
( sQ101_spl
| ~ product1(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ102_spl
<=> product1(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ102_spl
| product1(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ102_spl
| ~ product1(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ103_spl
<=> product1(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ103_spl
| product1(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( sQ103_spl
| ~ product1(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
( sQ104_spl
<=> product1(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ104_spl
| product1(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f471,plain,
( sQ104_spl
| ~ product1(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f452,f457,f460,f463,f466,f469]) ).
fof(f473,definition,
( sQ105_spl
<=> product1(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ105_spl
| product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( sQ105_spl
| ~ product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ106_spl
<=> product1(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ106_spl
| product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ106_spl
| ~ product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ107_spl
<=> product1(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ107_spl
| product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( sQ107_spl
| ~ product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ108_spl
<=> product1(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ108_spl
| product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ108_spl
| ~ product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ109_spl
<=> product1(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ109_spl
| product1(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f487,plain,
( sQ109_spl
| ~ product1(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f453,f473,f476,f479,f482,f485]) ).
fof(f489,definition,
( sQ110_spl
<=> product1(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ110_spl
| product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ110_spl
| ~ product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ111_spl
<=> product1(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ111_spl
| product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ111_spl
| ~ product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ112_spl
<=> product1(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ112_spl
| product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( sQ112_spl
| ~ product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ113_spl
<=> product1(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ113_spl
| product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f500,plain,
( sQ113_spl
| ~ product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ114_spl
<=> product1(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ114_spl
| product1(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f503,plain,
( sQ114_spl
| ~ product1(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f454,f489,f492,f495,f498,f501]) ).
fof(f505,definition,
( sQ115_spl
<=> product1(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ115_spl
| product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ115_spl
| ~ product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ116_spl
<=> product1(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ116_spl
| product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ116_spl
| ~ product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ117_spl
<=> product1(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ117_spl
| product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f513,plain,
( sQ117_spl
| ~ product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ118_spl
<=> product1(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ118_spl
| product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( sQ118_spl
| ~ product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ119_spl
<=> product1(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ119_spl
| product1(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f519,plain,
( sQ119_spl
| ~ product1(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f455,f505,f508,f511,f514,f517]) ).
fof(f521,definition,
( sQ120_spl
<=> product1(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f524,definition,
( sQ121_spl
<=> product1(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ121_spl
| product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( sQ121_spl
| ~ product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,definition,
( sQ122_spl
<=> product1(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( ~ sQ122_spl
| product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f529,plain,
( sQ122_spl
| ~ product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,definition,
( sQ123_spl
<=> product1(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ123_spl
| product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( sQ123_spl
| ~ product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ124_spl
<=> product1(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ124_spl
| product1(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f535,plain,
( sQ124_spl
| ~ product1(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f456,f521,f524,f527,f530,f533]) ).
fof(f537,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f183,f68]) ).
fof(f538,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f183,f66]) ).
fof(f539,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f183,f64]) ).
fof(f540,plain,
! [X0] :
( ~ sQ23_spl
| product2(e_4,X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f183,f79]) ).
fof(f544,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f180,f539]) ).
fof(f545,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f180,f68]) ).
fof(f546,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f180,f66]) ).
fof(f547,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f180,f64]) ).
fof(f548,plain,
! [X0] :
( ~ sQ22_spl
| product2(e_3,X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f180,f79]) ).
fof(f549,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f52]) ).
fof(f550,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f549]) ).
fof(f551,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f177,f68]) ).
fof(f552,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f177,f66]) ).
fof(f553,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f177,f64]) ).
fof(f554,plain,
! [X0] :
( ~ sQ21_spl
| product2(e_2,X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f177,f79]) ).
fof(f555,plain,
( ~ sQ20_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f174,f82]) ).
fof(f556,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f174,f68]) ).
fof(f557,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f174,f66]) ).
fof(f558,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f174,f64]) ).
fof(f559,plain,
! [X0] :
( ~ sQ20_spl
| product2(e_1,X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f174,f79]) ).
fof(f560,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f555,f58]) ).
fof(f561,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( product2(e_5,e_5,e_5)
| product2(e_5,e_5,e_4)
| product2(e_5,e_5,e_3)
| product2(e_5,e_5,e_2)
| product2(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f99,f41]) ).
fof(f563,plain,
( product2(e_4,e_5,e_5)
| product2(e_4,e_5,e_4)
| product2(e_4,e_5,e_3)
| product2(e_4,e_5,e_2)
| product2(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f99,f40]) ).
fof(f564,plain,
( product2(e_3,e_5,e_5)
| product2(e_3,e_5,e_4)
| product2(e_3,e_5,e_3)
| product2(e_3,e_5,e_2)
| product2(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f99,f39]) ).
fof(f565,plain,
( product2(e_2,e_5,e_5)
| product2(e_2,e_5,e_4)
| product2(e_2,e_5,e_3)
| product2(e_2,e_5,e_2)
| product2(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f99,f38]) ).
fof(f566,plain,
( product2(e_1,e_5,e_5)
| product2(e_1,e_5,e_4)
| product2(e_1,e_5,e_3)
| product2(e_1,e_5,e_2)
| product2(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f99,f37]) ).
fof(f567,definition,
( sQ125_spl
<=> product2(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ125_spl
| product2(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( sQ125_spl
| ~ product2(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
( sQ126_spl
<=> product2(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ126_spl
| product2(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f572,plain,
( sQ126_spl
| ~ product2(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,definition,
( sQ127_spl
<=> product2(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ127_spl
| product2(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( sQ127_spl
| ~ product2(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ128_spl
<=> product2(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ128_spl
| product2(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f578,plain,
( sQ128_spl
| ~ product2(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,definition,
( sQ129_spl
<=> product2(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f562,f567,f570,f573,f576,f579]) ).
fof(f583,definition,
( sQ130_spl
<=> product2(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( ~ sQ130_spl
| product2(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f585,plain,
( sQ130_spl
| ~ product2(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,definition,
( sQ131_spl
<=> product2(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( ~ sQ131_spl
| product2(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f588,plain,
( sQ131_spl
| ~ product2(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,definition,
( sQ132_spl
<=> product2(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ132_spl
| product2(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( sQ132_spl
| ~ product2(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ133_spl
<=> product2(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ133_spl
| product2(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f594,plain,
( sQ133_spl
| ~ product2(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,definition,
( sQ134_spl
<=> product2(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ134_spl
| product2(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( sQ134_spl
| ~ product2(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( sQ134_spl
| sQ133_spl
| sQ132_spl
| sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f563,f583,f586,f589,f592,f595]) ).
fof(f599,definition,
( sQ135_spl
<=> product2(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ135_spl
| product2(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f601,plain,
( sQ135_spl
| ~ product2(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,definition,
( sQ136_spl
<=> product2(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ136_spl
| product2(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f604,plain,
( sQ136_spl
| ~ product2(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,definition,
( sQ137_spl
<=> product2(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ137_spl
| product2(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( sQ137_spl
| ~ product2(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,definition,
( sQ138_spl
<=> product2(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ138_spl
| product2(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f610,plain,
( sQ138_spl
| ~ product2(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,definition,
( sQ139_spl
<=> product2(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ139_spl
| product2(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ139_spl
| ~ product2(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f564,f599,f602,f605,f608,f611]) ).
fof(f615,definition,
( sQ140_spl
<=> product2(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ140_spl
| product2(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( sQ140_spl
| ~ product2(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,definition,
( sQ141_spl
<=> product2(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ141_spl
| product2(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f620,plain,
( sQ141_spl
| ~ product2(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,definition,
( sQ142_spl
<=> product2(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ142_spl
| product2(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( sQ142_spl
| ~ product2(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ143_spl
<=> product2(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ143_spl
| product2(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( sQ143_spl
| ~ product2(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,definition,
( sQ144_spl
<=> product2(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ144_spl
| product2(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f629,plain,
( sQ144_spl
| ~ product2(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( sQ144_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f565,f615,f618,f621,f624,f627]) ).
fof(f631,definition,
( sQ145_spl
<=> product2(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ145_spl
| product2(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f633,plain,
( sQ145_spl
| ~ product2(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,definition,
( sQ146_spl
<=> product2(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f635,plain,
( ~ sQ146_spl
| product2(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f636,plain,
( sQ146_spl
| ~ product2(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,definition,
( sQ147_spl
<=> product2(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ147_spl
| product2(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f639,plain,
( sQ147_spl
| ~ product2(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,definition,
( sQ148_spl
<=> product2(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ148_spl
| product2(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f642,plain,
( sQ148_spl
| ~ product2(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ149_spl
<=> product2(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ149_spl
| product2(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f645,plain,
( sQ149_spl
| ~ product2(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( sQ149_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f566,f631,f634,f637,f640,f643]) ).
fof(f647,plain,
( product2(e_5,e_4,e_5)
| product2(e_5,e_4,e_4)
| product2(e_5,e_4,e_3)
| product2(e_5,e_4,e_2)
| product2(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f100,f41]) ).
fof(f648,plain,
( product2(e_4,e_4,e_5)
| product2(e_4,e_4,e_4)
| product2(e_4,e_4,e_3)
| product2(e_4,e_4,e_2)
| product2(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f100,f40]) ).
fof(f649,plain,
( product2(e_3,e_4,e_5)
| product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f100,f39]) ).
fof(f650,plain,
( product2(e_2,e_4,e_5)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f100,f38]) ).
fof(f651,plain,
( product2(e_1,e_4,e_5)
| product2(e_1,e_4,e_4)
| product2(e_1,e_4,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f100,f37]) ).
fof(f652,definition,
( sQ150_spl
<=> product2(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ150_spl
| product2(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f654,plain,
( sQ150_spl
| ~ product2(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ151_spl
<=> product2(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ151_spl
| product2(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f657,plain,
( sQ151_spl
| ~ product2(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ152_spl
<=> product2(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ152_spl
| product2(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( sQ152_spl
| ~ product2(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,definition,
( sQ153_spl
<=> product2(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( ~ sQ153_spl
| product2(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f663,plain,
( sQ153_spl
| ~ product2(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,definition,
( sQ154_spl
<=> product2(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ154_spl
| product2(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f666,plain,
( sQ154_spl
| ~ product2(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( sQ154_spl
| sQ153_spl
| sQ152_spl
| sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f647,f652,f655,f658,f661,f664]) ).
fof(f668,definition,
( sQ155_spl
<=> product2(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( ~ sQ155_spl
| product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f670,plain,
( sQ155_spl
| ~ product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,definition,
( sQ156_spl
<=> product2(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ156_spl
| product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f673,plain,
( sQ156_spl
| ~ product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ157_spl
<=> product2(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ157_spl
| product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f676,plain,
( sQ157_spl
| ~ product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,definition,
( sQ158_spl
<=> product2(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f680,definition,
( sQ159_spl
<=> product2(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ159_spl
| product2(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( sQ159_spl
| ~ product2(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( sQ159_spl
| sQ158_spl
| sQ157_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f648,f668,f671,f674,f677,f680]) ).
fof(f684,definition,
( sQ160_spl
<=> product2(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ160_spl
| product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( sQ160_spl
| ~ product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ161_spl
<=> product2(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ161_spl
| product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f689,plain,
( sQ161_spl
| ~ product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ162_spl
<=> product2(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ162_spl
| product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( sQ162_spl
| ~ product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ163_spl
<=> product2(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ163_spl
| product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( sQ163_spl
| ~ product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,definition,
( sQ164_spl
<=> product2(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ164_spl
| product2(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f698,plain,
( sQ164_spl
| ~ product2(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,plain,
( sQ164_spl
| sQ163_spl
| sQ162_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f649,f684,f687,f690,f693,f696]) ).
fof(f700,definition,
( sQ165_spl
<=> product2(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ165_spl
| product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f702,plain,
( sQ165_spl
| ~ product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ166_spl
<=> product2(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ166_spl
| product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f705,plain,
( sQ166_spl
| ~ product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ167_spl
<=> product2(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ167_spl
| product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f708,plain,
( sQ167_spl
| ~ product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,definition,
( sQ168_spl
<=> product2(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ168_spl
| product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f711,plain,
( sQ168_spl
| ~ product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,definition,
( sQ169_spl
<=> product2(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ169_spl
| product2(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f714,plain,
( sQ169_spl
| ~ product2(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( sQ169_spl
| sQ168_spl
| sQ167_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f650,f700,f703,f706,f709,f712]) ).
fof(f716,definition,
( sQ170_spl
<=> product2(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ170_spl
| product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f718,plain,
( sQ170_spl
| ~ product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,definition,
( sQ171_spl
<=> product2(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f720,plain,
( ~ sQ171_spl
| product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f721,plain,
( sQ171_spl
| ~ product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,definition,
( sQ172_spl
<=> product2(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( ~ sQ172_spl
| product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f724,plain,
( sQ172_spl
| ~ product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,definition,
( sQ173_spl
<=> product2(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ173_spl
| product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f727,plain,
( sQ173_spl
| ~ product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,definition,
( sQ174_spl
<=> product2(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ174_spl
| product2(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f730,plain,
( sQ174_spl
| ~ product2(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( sQ174_spl
| sQ173_spl
| sQ172_spl
| sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f651,f716,f719,f722,f725,f728]) ).
fof(f732,plain,
( product2(e_5,e_3,e_5)
| product2(e_5,e_3,e_4)
| product2(e_5,e_3,e_3)
| product2(e_5,e_3,e_2)
| product2(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f101,f41]) ).
fof(f733,plain,
( product2(e_4,e_3,e_5)
| product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f101,f40]) ).
fof(f734,plain,
( product2(e_3,e_3,e_5)
| product2(e_3,e_3,e_4)
| product2(e_3,e_3,e_3)
| product2(e_3,e_3,e_2)
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f101,f39]) ).
fof(f735,plain,
( product2(e_2,e_3,e_5)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f101,f38]) ).
fof(f736,plain,
( product2(e_1,e_3,e_5)
| product2(e_1,e_3,e_4)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f101,f37]) ).
fof(f737,definition,
( sQ175_spl
<=> product2(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ175_spl
| product2(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f739,plain,
( sQ175_spl
| ~ product2(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,definition,
( sQ176_spl
<=> product2(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ176_spl
| product2(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f742,plain,
( sQ176_spl
| ~ product2(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,definition,
( sQ177_spl
<=> product2(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ177_spl
| product2(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f745,plain,
( sQ177_spl
| ~ product2(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ178_spl
<=> product2(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ178_spl
| product2(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f748,plain,
( sQ178_spl
| ~ product2(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ179_spl
<=> product2(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ179_spl
| product2(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f751,plain,
( sQ179_spl
| ~ product2(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f732,f737,f740,f743,f746,f749]) ).
fof(f753,definition,
( sQ180_spl
<=> product2(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ180_spl
| product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f755,plain,
( sQ180_spl
| ~ product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,definition,
( sQ181_spl
<=> product2(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ181_spl
| product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f758,plain,
( sQ181_spl
| ~ product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,definition,
( sQ182_spl
<=> product2(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ182_spl
| product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f761,plain,
( sQ182_spl
| ~ product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,definition,
( sQ183_spl
<=> product2(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ183_spl
| product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f764,plain,
( sQ183_spl
| ~ product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ184_spl
<=> product2(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ184_spl
| product2(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f767,plain,
( sQ184_spl
| ~ product2(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( sQ184_spl
| sQ183_spl
| sQ182_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f733,f753,f756,f759,f762,f765]) ).
fof(f769,definition,
( sQ185_spl
<=> product2(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ185_spl
| product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f771,plain,
( sQ185_spl
| ~ product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
( sQ186_spl
<=> product2(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ186_spl
| product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f774,plain,
( sQ186_spl
| ~ product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,definition,
( sQ187_spl
<=> product2(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f778,definition,
( sQ188_spl
<=> product2(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( ~ sQ188_spl
| product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f780,plain,
( sQ188_spl
| ~ product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,definition,
( sQ189_spl
<=> product2(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ189_spl
| product2(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f783,plain,
( sQ189_spl
| ~ product2(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( sQ189_spl
| sQ188_spl
| sQ187_spl
| sQ186_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f734,f769,f772,f775,f778,f781]) ).
fof(f785,definition,
( sQ190_spl
<=> product2(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ190_spl
| product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f787,plain,
( sQ190_spl
| ~ product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,definition,
( sQ191_spl
<=> product2(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ191_spl
| product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f790,plain,
( sQ191_spl
| ~ product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ192_spl
<=> product2(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ192_spl
| product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f793,plain,
( sQ192_spl
| ~ product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,definition,
( sQ193_spl
<=> product2(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ193_spl
| product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f796,plain,
( sQ193_spl
| ~ product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
( sQ194_spl
<=> product2(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ194_spl
| product2(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f799,plain,
( sQ194_spl
| ~ product2(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,plain,
( sQ194_spl
| sQ193_spl
| sQ192_spl
| sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f735,f785,f788,f791,f794,f797]) ).
fof(f801,definition,
( sQ195_spl
<=> product2(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ195_spl
| product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f803,plain,
( sQ195_spl
| ~ product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,definition,
( sQ196_spl
<=> product2(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ196_spl
| product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f806,plain,
( sQ196_spl
| ~ product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,definition,
( sQ197_spl
<=> product2(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ197_spl
| product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f809,plain,
( sQ197_spl
| ~ product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,definition,
( sQ198_spl
<=> product2(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ198_spl
| product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( sQ198_spl
| ~ product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
( sQ199_spl
<=> product2(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ199_spl
| product2(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f815,plain,
( sQ199_spl
| ~ product2(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( sQ199_spl
| sQ198_spl
| sQ197_spl
| sQ196_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f736,f801,f804,f807,f810,f813]) ).
fof(f820,plain,
( product2(e_5,e_2,e_5)
| product2(e_5,e_2,e_4)
| product2(e_5,e_2,e_3)
| product2(e_5,e_2,e_2)
| product2(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f102,f41]) ).
fof(f821,plain,
( product2(e_4,e_2,e_5)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f102,f40]) ).
fof(f822,plain,
( product2(e_3,e_2,e_5)
| product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f102,f39]) ).
fof(f823,plain,
( product2(e_2,e_2,e_5)
| product2(e_2,e_2,e_4)
| product2(e_2,e_2,e_3)
| product2(e_2,e_2,e_2)
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f102,f38]) ).
fof(f824,plain,
( product2(e_1,e_2,e_5)
| product2(e_1,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f102,f37]) ).
fof(f825,definition,
( sQ200_spl
<=> product2(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ200_spl
| product2(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f827,plain,
( sQ200_spl
| ~ product2(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,definition,
( sQ201_spl
<=> product2(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f829,plain,
( ~ sQ201_spl
| product2(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f830,plain,
( sQ201_spl
| ~ product2(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,definition,
( sQ202_spl
<=> product2(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( ~ sQ202_spl
| product2(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f833,plain,
( sQ202_spl
| ~ product2(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,definition,
( sQ203_spl
<=> product2(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ203_spl
| product2(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f836,plain,
( sQ203_spl
| ~ product2(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,definition,
( sQ204_spl
<=> product2(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( ~ sQ204_spl
| product2(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f839,plain,
( sQ204_spl
| ~ product2(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( sQ204_spl
| sQ203_spl
| sQ202_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f820,f825,f828,f831,f834,f837]) ).
fof(f841,definition,
( sQ205_spl
<=> product2(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ205_spl
| product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f843,plain,
( sQ205_spl
| ~ product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,definition,
( sQ206_spl
<=> product2(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( ~ sQ206_spl
| product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f846,plain,
( sQ206_spl
| ~ product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,definition,
( sQ207_spl
<=> product2(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( ~ sQ207_spl
| product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f849,plain,
( sQ207_spl
| ~ product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,definition,
( sQ208_spl
<=> product2(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( ~ sQ208_spl
| product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f852,plain,
( sQ208_spl
| ~ product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,definition,
( sQ209_spl
<=> product2(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( ~ sQ209_spl
| product2(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f855,plain,
( sQ209_spl
| ~ product2(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f856,plain,
( sQ209_spl
| sQ208_spl
| sQ207_spl
| sQ206_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f821,f841,f844,f847,f850,f853]) ).
fof(f857,definition,
( sQ210_spl
<=> product2(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( ~ sQ210_spl
| product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f859,plain,
( sQ210_spl
| ~ product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,definition,
( sQ211_spl
<=> product2(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f861,plain,
( ~ sQ211_spl
| product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f862,plain,
( sQ211_spl
| ~ product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,definition,
( sQ212_spl
<=> product2(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( ~ sQ212_spl
| product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f865,plain,
( sQ212_spl
| ~ product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,definition,
( sQ213_spl
<=> product2(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( ~ sQ213_spl
| product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f868,plain,
( sQ213_spl
| ~ product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,definition,
( sQ214_spl
<=> product2(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ214_spl
| product2(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f871,plain,
( sQ214_spl
| ~ product2(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,plain,
( sQ214_spl
| sQ213_spl
| sQ212_spl
| sQ211_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f822,f857,f860,f863,f866,f869]) ).
fof(f873,definition,
( sQ215_spl
<=> product2(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( ~ sQ215_spl
| product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f875,plain,
( sQ215_spl
| ~ product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,definition,
( sQ216_spl
<=> product2(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f879,definition,
( sQ217_spl
<=> product2(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( ~ sQ217_spl
| product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f881,plain,
( sQ217_spl
| ~ product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,definition,
( sQ218_spl
<=> product2(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( ~ sQ218_spl
| product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f884,plain,
( sQ218_spl
| ~ product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,definition,
( sQ219_spl
<=> product2(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( ~ sQ219_spl
| product2(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f887,plain,
( sQ219_spl
| ~ product2(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( sQ219_spl
| sQ218_spl
| sQ217_spl
| sQ216_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f823,f873,f876,f879,f882,f885]) ).
fof(f889,definition,
( sQ220_spl
<=> product2(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ220_spl
| product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f891,plain,
( sQ220_spl
| ~ product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,definition,
( sQ221_spl
<=> product2(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f893,plain,
( ~ sQ221_spl
| product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f894,plain,
( sQ221_spl
| ~ product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,definition,
( sQ222_spl
<=> product2(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( ~ sQ222_spl
| product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f897,plain,
( sQ222_spl
| ~ product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,definition,
( sQ223_spl
<=> product2(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( ~ sQ223_spl
| product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f900,plain,
( sQ223_spl
| ~ product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,definition,
( sQ224_spl
<=> product2(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( ~ sQ224_spl
| product2(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f903,plain,
( sQ224_spl
| ~ product2(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,plain,
( sQ224_spl
| sQ223_spl
| sQ222_spl
| sQ221_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f824,f889,f892,f895,f898,f901]) ).
fof(f905,plain,
( product2(e_5,e_1,e_5)
| product2(e_5,e_1,e_4)
| product2(e_5,e_1,e_3)
| product2(e_5,e_1,e_2)
| product2(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f103,f41]) ).
fof(f906,plain,
( product2(e_4,e_1,e_5)
| product2(e_4,e_1,e_4)
| product2(e_4,e_1,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f103,f40]) ).
fof(f907,plain,
( product2(e_3,e_1,e_5)
| product2(e_3,e_1,e_4)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f103,f39]) ).
fof(f908,plain,
( product2(e_2,e_1,e_5)
| product2(e_2,e_1,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f103,f38]) ).
fof(f909,plain,
( product2(e_1,e_1,e_5)
| product2(e_1,e_1,e_4)
| product2(e_1,e_1,e_3)
| product2(e_1,e_1,e_2)
| product2(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f103,f37]) ).
fof(f910,definition,
( sQ225_spl
<=> product2(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f911,plain,
( ~ sQ225_spl
| product2(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f912,plain,
( sQ225_spl
| ~ product2(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,definition,
( sQ226_spl
<=> product2(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ226_spl
| product2(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f915,plain,
( sQ226_spl
| ~ product2(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ227_spl
<=> product2(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ227_spl
| product2(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f918,plain,
( sQ227_spl
| ~ product2(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,definition,
( sQ228_spl
<=> product2(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ228_spl
| product2(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f921,plain,
( sQ228_spl
| ~ product2(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,definition,
( sQ229_spl
<=> product2(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ229_spl
| product2(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f924,plain,
( sQ229_spl
| ~ product2(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( sQ229_spl
| sQ228_spl
| sQ227_spl
| sQ226_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f905,f910,f913,f916,f919,f922]) ).
fof(f926,definition,
( sQ230_spl
<=> product2(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ230_spl
| product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f928,plain,
( sQ230_spl
| ~ product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,definition,
( sQ231_spl
<=> product2(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( ~ sQ231_spl
| product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f931,plain,
( sQ231_spl
| ~ product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,definition,
( sQ232_spl
<=> product2(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ232_spl
| product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f934,plain,
( sQ232_spl
| ~ product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,definition,
( sQ233_spl
<=> product2(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( ~ sQ233_spl
| product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f937,plain,
( sQ233_spl
| ~ product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,definition,
( sQ234_spl
<=> product2(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ234_spl
| product2(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f940,plain,
( sQ234_spl
| ~ product2(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,plain,
( sQ234_spl
| sQ233_spl
| sQ232_spl
| sQ231_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f906,f926,f929,f932,f935,f938]) ).
fof(f942,definition,
( sQ235_spl
<=> product2(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( ~ sQ235_spl
| product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f944,plain,
( sQ235_spl
| ~ product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,definition,
( sQ236_spl
<=> product2(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( ~ sQ236_spl
| product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f947,plain,
( sQ236_spl
| ~ product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,definition,
( sQ237_spl
<=> product2(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( ~ sQ237_spl
| product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f950,plain,
( sQ237_spl
| ~ product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,definition,
( sQ238_spl
<=> product2(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ238_spl
| product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f953,plain,
( sQ238_spl
| ~ product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,definition,
( sQ239_spl
<=> product2(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ239_spl
| product2(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f956,plain,
( sQ239_spl
| ~ product2(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,plain,
( sQ239_spl
| sQ238_spl
| sQ237_spl
| sQ236_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f907,f942,f945,f948,f951,f954]) ).
fof(f958,definition,
( sQ240_spl
<=> product2(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ240_spl
| product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f960,plain,
( sQ240_spl
| ~ product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,definition,
( sQ241_spl
<=> product2(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ241_spl
| product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f963,plain,
( sQ241_spl
| ~ product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,definition,
( sQ242_spl
<=> product2(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( ~ sQ242_spl
| product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f966,plain,
( sQ242_spl
| ~ product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,definition,
( sQ243_spl
<=> product2(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( ~ sQ243_spl
| product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f969,plain,
( sQ243_spl
| ~ product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,definition,
( sQ244_spl
<=> product2(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ244_spl
| product2(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f972,plain,
( sQ244_spl
| ~ product2(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,plain,
( sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ241_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f908,f958,f961,f964,f967,f970]) ).
fof(f974,definition,
( sQ245_spl
<=> product2(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f977,definition,
( sQ246_spl
<=> product2(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( ~ sQ246_spl
| product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f979,plain,
( sQ246_spl
| ~ product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,definition,
( sQ247_spl
<=> product2(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( ~ sQ247_spl
| product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f982,plain,
( sQ247_spl
| ~ product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,definition,
( sQ248_spl
<=> product2(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f984,plain,
( ~ sQ248_spl
| product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f985,plain,
( sQ248_spl
| ~ product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,definition,
( sQ249_spl
<=> product2(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ249_spl
| product2(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f988,plain,
( sQ249_spl
| ~ product2(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,plain,
( sQ249_spl
| sQ248_spl
| sQ247_spl
| sQ246_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f909,f974,f977,f980,f983,f986]) ).
fof(f990,plain,
( ~ sQ19_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f170,f83]) ).
fof(f991,plain,
( ~ sQ19_spl
| product2(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f170,f81]) ).
fof(f992,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f170,f68]) ).
fof(f993,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f170,f66]) ).
fof(f994,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f170,f64]) ).
fof(f995,plain,
! [X0] :
( ~ sQ19_spl
| product2(e_5,X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f170,f79]) ).
fof(f996,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f990,f49]) ).
fof(f997,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f996]) ).
fof(f998,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f167,f68]) ).
fof(f999,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f167,f66]) ).
fof(f1000,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f167,f64]) ).
fof(f1001,plain,
! [X0] :
( ~ sQ18_spl
| product2(e_4,X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f167,f79]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f164,f68]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f164,f66]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f164,f64]) ).
fof(f1005,plain,
! [X0] :
( ~ sQ17_spl
| product2(e_3,X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f164,f79]) ).
fof(f1007,plain,
( ~ sQ16_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f161,f82]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f161,f68]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f161,f66]) ).
fof(f1010,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f161,f64]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ16_spl
| product2(e_2,X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f161,f79]) ).
fof(f1014,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| product2(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f158,f554]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f158,f68]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f158,f66]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f158,f64]) ).
fof(f1018,plain,
! [X0] :
( ~ sQ15_spl
| product2(e_1,X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f158,f79]) ).
fof(f1019,plain,
( ~ sQ14_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f154,f83]) ).
fof(f1020,plain,
( ~ sQ14_spl
| product2(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f154,f81]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f154,f68]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f154,f66]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f154,f64]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ14_spl
| product2(e_5,X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f154,f79]) ).
fof(f1025,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f53]) ).
fof(f1026,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
( ~ sQ21_spl
| ~ sQ18_spl
| product2(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f1001,f177]) ).
fof(f1028,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| product2(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1005,f177]) ).
fof(f1031,plain,
( ~ sQ15_spl
| ~ sQ18_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1000,f158]) ).
fof(f1032,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1000,f164]) ).
fof(f1034,plain,
( ~ sQ15_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1031,f44]) ).
fof(f1035,plain,
( ~ sQ15_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1034]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f151,f68]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f151,f66]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f151,f64]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ13_spl
| product2(e_4,X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f151,f79]) ).
fof(f1042,plain,
( ~ sQ12_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f148,f82]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f148,f68]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f148,f66]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f148,f64]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ12_spl
| product2(e_3,X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f148,f79]) ).
fof(f1049,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f145,f551]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f145,f68]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f145,f66]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f145,f64]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ11_spl
| product2(e_2,X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f145,f79]) ).
fof(f1054,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1049,f50]) ).
fof(f1055,plain,
( ~ sQ21_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1054]) ).
fof(f1056,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1007,f59]) ).
fof(f1057,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f1056]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f142,f68]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f142,f66]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f142,f64]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ10_spl
| product2(e_1,X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f142,f79]) ).
fof(f1062,plain,
( ~ sQ9_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f138,f83]) ).
fof(f1063,plain,
( ~ sQ9_spl
| product2(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f138,f81]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f138,f68]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f138,f66]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ9_spl
| product2(e_5,X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f138,f79]) ).
fof(f1068,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1062,f57]) ).
fof(f1069,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1068]) ).
fof(f1070,plain,
( ~ sQ8_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f135,f82]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f135,f68]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f135,f66]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f135,f64]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ8_spl
| product2(e_4,X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f135,f79]) ).
fof(f1075,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1070,f61]) ).
fof(f1076,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f1075]) ).
fof(f1077,plain,
( ~ sQ10_spl
| ~ sQ22_spl
| product2(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f548,f142]) ).
fof(f1080,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1039,f142]) ).
fof(f1082,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1080,f44]) ).
fof(f1083,plain,
( ~ sQ10_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1082]) ).
fof(f1084,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f132,f545]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f132,f68]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f132,f66]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f132,f64]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ7_spl
| product2(e_3,X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f132,f79]) ).
fof(f1089,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1084,f54]) ).
fof(f1090,plain,
( ~ sQ22_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1089]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f129,f68]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f129,f66]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f129,f64]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ6_spl
| product2(e_2,X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f129,f79]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f126,f68]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f126,f66]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f126,f64]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ5_spl
| product2(e_1,X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f126,f79]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f271,f68]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f271,f66]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f271,f64]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ49_spl
| product2(e_5,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f271,f79]) ).
fof(f1103,plain,
( ~ sQ48_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f268,f83]) ).
fof(f1104,plain,
( ~ sQ48_spl
| product2(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f268,f81]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f268,f68]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f268,f66]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f268,f64]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ48_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f268,f79]) ).
fof(f1109,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f44]) ).
fof(f1110,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f1109]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f265,f68]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f265,f66]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f265,f64]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ47_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f265,f79]) ).
fof(f1115,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| product2(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1018,f129]) ).
fof(f1116,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1015,f126]) ).
fof(f1117,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1015,f142]) ).
fof(f1118,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1116,f55]) ).
fof(f1119,plain,
( ~ sQ5_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1118]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f262,f68]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f262,f66]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f262,f64]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ46_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f262,f79]) ).
fof(f1127,plain,
( ~ sQ45_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f259,f82]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f259,f68]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f259,f66]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f259,f64]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ45_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f259,f79]) ).
fof(f1132,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1127,f54]) ).
fof(f1133,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1132]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f255,f68]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f255,f66]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f255,f64]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ44_spl
| product2(e_5,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f255,f79]) ).
fof(f1138,plain,
( ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f252,f83]) ).
fof(f1139,plain,
( ~ sQ43_spl
| product2(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f252,f81]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f252,f68]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f252,f66]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f252,f64]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ43_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f252,f79]) ).
fof(f1144,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f48]) ).
fof(f1145,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f1144]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f249,f68]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f249,f66]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f249,f64]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ42_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f249,f79]) ).
fof(f1150,plain,
( ~ sQ41_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f246,f82]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f246,f68]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f246,f66]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f246,f64]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ41_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f246,f79]) ).
fof(f1155,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1150,f55]) ).
fof(f1156,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1155]) ).
fof(f1157,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| product2(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f554,f142]) ).
fof(f1158,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f551,f129]) ).
fof(f1159,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f54]) ).
fof(f1160,plain,
( ~ sQ6_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1159]) ).
fof(f1161,plain,
( ~ sQ44_spl
| ~ sQ49_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1099,f255]) ).
fof(f1163,plain,
( ~ sQ44_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1161,f46]) ).
fof(f1164,plain,
( ~ sQ44_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1163]) ).
fof(f1165,plain,
( ~ sQ42_spl
| ~ sQ47_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1111,f249]) ).
fof(f1167,plain,
( ~ sQ42_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1165,f46]) ).
fof(f1168,plain,
( ~ sQ42_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1167]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f243,f68]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f243,f66]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f243,f64]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ40_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f243,f79]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f239,f68]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f239,f66]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f239,f64]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ39_spl
| product2(e_5,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f239,f79]) ).
fof(f1177,plain,
( ~ sQ38_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f236,f83]) ).
fof(f1178,plain,
( ~ sQ38_spl
| product2(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f236,f81]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f236,f68]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f236,f66]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f236,f64]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ38_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f236,f79]) ).
fof(f1183,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1177,f52]) ).
fof(f1184,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1183]) ).
fof(f1185,plain,
( ~ sQ37_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f233,f82]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f233,f68]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f233,f66]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f233,f64]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ37_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f233,f79]) ).
fof(f1190,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1185,f56]) ).
fof(f1191,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1190]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f230,f68]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f230,f66]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f230,f64]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ36_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f230,f79]) ).
fof(f1196,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f227,f1059]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f227,f68]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f227,f66]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f227,f64]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ35_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f227,f79]) ).
fof(f1201,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1196,f57]) ).
fof(f1202,plain,
( ~ sQ10_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1201]) ).
fof(f1203,plain,
( ~ sQ40_spl
| ~ sQ46_spl
| product2(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1126,f243]) ).
fof(f1205,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1123,f230]) ).
fof(f1206,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1205,f50]) ).
fof(f1207,plain,
( ~ sQ36_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1206]) ).
fof(f1208,plain,
( ~ sQ34_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f223,f80]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f223,f68]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f223,f66]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f223,f64]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ34_spl
| product2(e_5,X0,e_4)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f223,f79]) ).
fof(f1213,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1208,f61]) ).
fof(f1214,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1215,plain,
( ~ sQ32_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f217,f80]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f217,f68]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f217,f66]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f217,f64]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ32_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f217,f79]) ).
fof(f1220,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1215,f52]) ).
fof(f1221,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f1220]) ).
fof(f1222,plain,
( ~ sQ31_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f214,f80]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f214,f68]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f214,f66]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f214,f64]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ31_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f214,f79]) ).
fof(f1227,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1222,f48]) ).
fof(f1228,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( ~ sQ30_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f211,f80]) ).
fof(f1230,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f211,f68]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f211,f66]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f211,f64]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ30_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f211,f79]) ).
fof(f1234,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1229,f44]) ).
fof(f1235,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1234]) ).
fof(f1236,plain,
( ~ sQ29_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f207,f82]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f207,f68]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f207,f66]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f207,f64]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ29_spl
| product2(e_5,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f207,f79]) ).
fof(f1241,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1236,f57]) ).
fof(f1242,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1241]) ).
fof(f1243,plain,
( ~ sQ28_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f204,f83]) ).
fof(f1244,plain,
( ~ sQ28_spl
| product2(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f204,f81]) ).
fof(f1245,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f204,f68]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f204,f66]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f204,f64]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ28_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f204,f79]) ).
fof(f1249,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1243,f61]) ).
fof(f1250,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1249]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f201,f68]) ).
fof(f1252,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f201,f66]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f201,f64]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ27_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f201,f79]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f198,f68]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f198,f66]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f198,f64]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ26_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f198,f79]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f195,f68]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f195,f66]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f195,f64]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ25_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f195,f79]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f356,f68]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f356,f66]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f356,f64]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ74_spl
| product2(e_5,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f356,f79]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f353,f68]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f353,f66]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f353,f64]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ73_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f353,f79]) ).
fof(f1272,plain,
( ~ sQ72_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f350,f83]) ).
fof(f1273,plain,
( ~ sQ72_spl
| product2(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f350,f81]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f350,f68]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f350,f66]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f350,f64]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ72_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f350,f79]) ).
fof(f1280,plain,
( ~ sQ26_spl
| ~ sQ40_spl
| product2(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1172,f198]) ).
fof(f1281,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| product2(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1176,f201]) ).
fof(f1282,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1169,f195]) ).
fof(f1284,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f59]) ).
fof(f1285,plain,
( ~ sQ25_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1284]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f347,f68]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f347,f66]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f347,f64]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ71_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f347,f79]) ).
fof(f1292,plain,
( ~ sQ70_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f344,f82]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f344,f68]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f344,f66]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f344,f64]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ70_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f344,f79]) ).
fof(f1297,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1292,f50]) ).
fof(f1298,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f1297]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f340,f68]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f340,f66]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f340,f64]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ69_spl
| product2(e_5,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f340,f79]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f337,f68]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f337,f66]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f337,f64]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ68_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f337,f79]) ).
fof(f1308,plain,
( ~ sQ67_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f334,f83]) ).
fof(f1309,plain,
( ~ sQ67_spl
| product2(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f334,f81]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f334,f68]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f334,f66]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f334,f64]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ67_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f334,f79]) ).
fof(f1316,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1308,f47]) ).
fof(f1317,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1316]) ).
fof(f1318,plain,
( ~ sQ66_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f331,f82]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f331,f68]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f331,f66]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f331,f64]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ66_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f331,f79]) ).
fof(f1323,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1318,f51]) ).
fof(f1324,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1323]) ).
fof(f1325,plain,
( ~ sQ39_spl
| ~ sQ27_spl
| product2(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1254,f239]) ).
fof(f1326,plain,
( ~ sQ39_spl
| ~ sQ26_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1258,f239]) ).
fof(f1330,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1253,f198]) ).
fof(f1332,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1330,f47]) ).
fof(f1333,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1332]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f328,f68]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f328,f66]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f328,f64]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ65_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f328,f79]) ).
fof(f1339,plain,
( ~ sQ64_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f324,f80]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f324,f68]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f324,f66]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f324,f64]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ64_spl
| product2(e_5,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f324,f79]) ).
fof(f1346,plain,
( ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f321,f80]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f321,f68]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f321,f66]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f321,f64]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ63_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f321,f79]) ).
fof(f1351,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1346,f56]) ).
fof(f1352,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1351]) ).
fof(f1353,plain,
( ~ sQ61_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f315,f80]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f315,f68]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f315,f66]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f315,f64]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ61_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f315,f79]) ).
fof(f1358,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1353,f47]) ).
fof(f1359,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1358]) ).
fof(f1360,plain,
( ~ sQ60_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f312,f80]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f312,f68]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f312,f66]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f312,f64]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ60_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f312,f79]) ).
fof(f1365,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1360,f43]) ).
fof(f1366,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1365]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f308,f68]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f308,f66]) ).
fof(f1369,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f308,f64]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ59_spl
| product2(e_5,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f308,f79]) ).
fof(f1371,plain,
( ~ sQ65_spl
| ~ sQ74_spl
| product2(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1266,f328]) ).
fof(f1372,plain,
( ~ sQ65_spl
| ~ sQ73_spl
| product2(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1270,f328]) ).
fof(f1376,plain,
( ~ sQ59_spl
| ~ sQ74_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1263,f308]) ).
fof(f1377,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1263,f340]) ).
fof(f1379,plain,
( ~ sQ59_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f54]) ).
fof(f1380,plain,
( ~ sQ59_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1379]) ).
fof(f1381,plain,
( ~ sQ58_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f305,f82]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f305,f68]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f305,f66]) ).
fof(f1384,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f305,f64]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ58_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f305,f79]) ).
fof(f1386,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1381,f52]) ).
fof(f1387,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1386]) ).
fof(f1388,plain,
( ~ sQ57_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f302,f83]) ).
fof(f1389,plain,
( ~ sQ57_spl
| product2(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f302,f81]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f302,f68]) ).
fof(f1391,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f302,f66]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f302,f64]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ57_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f302,f79]) ).
fof(f1394,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1388,f56]) ).
fof(f1395,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1394]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f299,f68]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f299,f66]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f299,f64]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ56_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f299,f79]) ).
fof(f1400,plain,
( ~ sQ73_spl
| ~ sQ55_spl
| product2(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f296,f1270]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f296,f68]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f296,f66]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f296,f64]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ55_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f296,f79]) ).
fof(f1405,plain,
( ~ sQ54_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f292,f82]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f292,f68]) ).
fof(f1407,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f292,f66]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f292,f64]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ54_spl
| product2(e_5,X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f292,f79]) ).
fof(f1410,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1405,f53]) ).
fof(f1411,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1410]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f289,f68]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f289,f66]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f289,f64]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ53_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f289,f79]) ).
fof(f1416,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| product2(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1149,f198]) ).
fof(f1417,plain,
( ~ sQ68_spl
| ~ sQ73_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1267,f337]) ).
fof(f1419,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1267,f289]) ).
fof(f1420,plain,
( ~ sQ68_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1417,f46]) ).
fof(f1421,plain,
( ~ sQ68_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1420]) ).
fof(f1422,plain,
( ~ sQ52_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f286,f83]) ).
fof(f1423,plain,
( ~ sQ52_spl
| product2(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f286,f81]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f286,f68]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f286,f66]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f286,f64]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ52_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f286,f79]) ).
fof(f1428,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1422,f60]) ).
fof(f1429,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1428]) ).
fof(f1430,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f283,f1256]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f283,f68]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f283,f66]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f283,f64]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ51_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f283,f79]) ).
fof(f1435,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1430,f52]) ).
fof(f1436,plain,
( ~ sQ26_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1435]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f280,f68]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f280,f66]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f280,f64]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ50_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f280,f79]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f441,f68]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f441,f66]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f441,f64]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ99_spl
| product2(e_5,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f441,f79]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f438,f68]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f438,f66]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f438,f64]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ98_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f438,f79]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f435,f68]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f435,f66]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f435,f64]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ97_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f435,f79]) ).
fof(f1453,plain,
( ~ sQ55_spl
| ~ sQ71_spl
| product2(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1291,f296]) ).
fof(f1454,plain,
( ~ sQ65_spl
| ~ sQ71_spl
| product2(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f1291,f328]) ).
fof(f1455,plain,
( ~ sQ50_spl
| ~ sQ71_spl
| product2(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1291,f280]) ).
fof(f1456,plain,
( ~ sQ56_spl
| ~ sQ69_spl
| product2(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1302,f299]) ).
fof(f1457,plain,
( ~ sQ71_spl
| ~ sQ69_spl
| product2(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1302,f347]) ).
fof(f1458,plain,
( ~ sQ51_spl
| ~ sQ69_spl
| product2(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1302,f283]) ).
fof(f1459,plain,
( ~ sQ71_spl
| ~ sQ46_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1124,f347]) ).
fof(f1460,plain,
( ~ sQ71_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f52]) ).
fof(f1461,plain,
( ~ sQ71_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1462,plain,
( ~ sQ56_spl
| ~ sQ71_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1288,f299]) ).
fof(f1464,plain,
( ~ sQ56_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f54]) ).
fof(f1465,plain,
( ~ sQ56_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1464]) ).
fof(f1466,plain,
( ~ sQ17_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1032,f52]) ).
fof(f1467,plain,
( ~ sQ17_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1466]) ).
fof(f1468,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1419,f58]) ).
fof(f1469,plain,
( ~ sQ53_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1468]) ).
fof(f1470,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1042,f60]) ).
fof(f1471,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1470]) ).
fof(f1474,plain,
( ~ sQ96_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f432,f83]) ).
fof(f1475,plain,
( ~ sQ96_spl
| product2(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f432,f81]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f432,f68]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f432,f66]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f432,f64]) ).
fof(f1479,plain,
! [X0] :
( ~ sQ96_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f432,f79]) ).
fof(f1480,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1474,f42]) ).
fof(f1481,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1480]) ).
fof(f1482,plain,
( ~ sQ95_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f429,f82]) ).
fof(f1483,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f429,f68]) ).
fof(f1484,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f429,f66]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f429,f64]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ95_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f429,f79]) ).
fof(f1487,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1482,f46]) ).
fof(f1488,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1487]) ).
fof(f1490,plain,
( ~ sQ94_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f425,f80]) ).
fof(f1491,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f425,f68]) ).
fof(f1492,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f425,f66]) ).
fof(f1493,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f425,f64]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ94_spl
| product2(e_5,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f425,f79]) ).
fof(f1497,plain,
( ~ sQ93_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f422,f80]) ).
fof(f1498,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f422,f68]) ).
fof(f1499,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f422,f66]) ).
fof(f1500,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f422,f64]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ93_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f79]) ).
fof(f1502,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1497,f55]) ).
fof(f1503,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1502]) ).
fof(f1504,plain,
( ~ sQ92_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f419,f80]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f419,f68]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f419,f66]) ).
fof(f1507,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f419,f64]) ).
fof(f1508,plain,
! [X0] :
( ~ sQ92_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f419,f79]) ).
fof(f1509,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1504,f51]) ).
fof(f1510,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1509]) ).
fof(f1511,plain,
( ~ sQ90_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f413,f80]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f413,f68]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f413,f66]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f413,f64]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ90_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f413,f79]) ).
fof(f1516,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1511,f42]) ).
fof(f1517,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f1516]) ).
fof(f1518,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| product2(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1404,f289]) ).
fof(f1519,plain,
( ~ sQ65_spl
| ~ sQ69_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1301,f328]) ).
fof(f1521,plain,
( ~ sQ65_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1519,f45]) ).
fof(f1522,plain,
( ~ sQ65_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1521]) ).
fof(f1523,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1490,f59]) ).
fof(f1524,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1523]) ).
fof(f1525,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1334,f296]) ).
fof(f1527,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1334,f280]) ).
fof(f1528,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1525,f55]) ).
fof(f1529,plain,
( ~ sQ55_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1528]) ).
fof(f1531,plain,
( ~ sQ50_spl
| ~ sQ55_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1401,f280]) ).
fof(f1532,plain,
( ~ sQ50_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1531,f61]) ).
fof(f1533,plain,
( ~ sQ50_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1532]) ).
fof(f1534,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1527,f59]) ).
fof(f1535,plain,
( ~ sQ50_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1534]) ).
fof(f1536,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1272,f43]) ).
fof(f1537,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f409,f68]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f409,f66]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f409,f64]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ89_spl
| product2(e_5,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f409,f79]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f406,f68]) ).
fof(f1544,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f406,f66]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f406,f64]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ88_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f406,f79]) ).
fof(f1547,plain,
( ~ sQ87_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f403,f82]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f403,f68]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f403,f66]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f403,f64]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ87_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f403,f79]) ).
fof(f1552,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1547,f47]) ).
fof(f1553,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1552]) ).
fof(f1554,plain,
( ~ sQ86_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f400,f83]) ).
fof(f1555,plain,
( ~ sQ86_spl
| product2(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f400,f81]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f400,f68]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f400,f66]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f400,f64]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ86_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f400,f79]) ).
fof(f1560,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1554,f51]) ).
fof(f1561,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f1560]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f397,f68]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f397,f66]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f397,f64]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ85_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f397,f79]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f393,f68]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f393,f66]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f393,f64]) ).
fof(f1569,plain,
! [X0] :
( ~ sQ84_spl
| product2(e_5,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f393,f79]) ).
fof(f1570,plain,
( ~ sQ85_spl
| ~ sQ99_spl
| product2(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1444,f397]) ).
fof(f1573,plain,
( ~ sQ84_spl
| ~ sQ99_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1441,f393]) ).
fof(f1574,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1441,f409]) ).
fof(f1576,plain,
( ~ sQ84_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1573,f54]) ).
fof(f1577,plain,
( ~ sQ84_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1576]) ).
fof(f1578,plain,
( ~ sQ88_spl
| ~ sQ98_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1445,f406]) ).
fof(f1580,plain,
( ~ sQ88_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1578,f50]) ).
fof(f1581,plain,
( ~ sQ88_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1580]) ).
fof(f1582,plain,
( ~ sQ83_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f390,f82]) ).
fof(f1583,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f390,f68]) ).
fof(f1584,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f390,f66]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f390,f64]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ83_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f390,f79]) ).
fof(f1587,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1582,f48]) ).
fof(f1588,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1587]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f387,f68]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f387,f66]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f387,f64]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ82_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f387,f79]) ).
fof(f1593,plain,
( ~ sQ81_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f384,f83]) ).
fof(f1594,plain,
( ~ sQ81_spl
| product2(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f384,f81]) ).
fof(f1595,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f384,f68]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f384,f66]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f384,f64]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ81_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f384,f79]) ).
fof(f1599,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1593,f55]) ).
fof(f1600,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1599]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f381,f68]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f381,f66]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f381,f64]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ80_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f381,f79]) ).
fof(f1605,plain,
( ~ sQ79_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f377,f82]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f377,f68]) ).
fof(f1607,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f377,f66]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f377,f64]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ79_spl
| product2(e_5,X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f377,f79]) ).
fof(f1610,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1605,f49]) ).
fof(f1611,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1610]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f374,f68]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f374,f66]) ).
fof(f1614,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f374,f64]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ78_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f374,f79]) ).
fof(f1617,plain,
( ~ sQ85_spl
| ~ sQ97_spl
| product2(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1452,f397]) ).
fof(f1618,plain,
( ~ sQ82_spl
| ~ sQ97_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1449,f387]) ).
fof(f1620,plain,
( ~ sQ82_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1618,f54]) ).
fof(f1621,plain,
( ~ sQ82_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f1620]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f371,f68]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f371,f66]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f371,f64]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ77_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f371,f79]) ).
fof(f1627,plain,
( ~ sQ76_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f368,f83]) ).
fof(f1628,plain,
( ~ sQ76_spl
| product2(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f368,f81]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f368,f68]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f368,f66]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f368,f64]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ76_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f368,f79]) ).
fof(f1635,plain,
( ~ sQ50_spl
| ~ sQ75_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f365,f1438]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f365,f68]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f365,f66]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f365,f64]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ75_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f365,f79]) ).
fof(f1640,plain,
( ~ sQ50_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1635,f47]) ).
fof(f1641,plain,
( ~ sQ50_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1640]) ).
fof(f1642,plain,
( ~ sQ124_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f534,f80]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f534,f68]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f534,f66]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f534,f64]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ124_spl
| product2(e_5,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f534,f79]) ).
fof(f1647,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1642,f58]) ).
fof(f1648,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1647]) ).
fof(f1649,plain,
( ~ sQ123_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f531,f80]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f531,f68]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f531,f66]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f531,f64]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ123_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f531,f79]) ).
fof(f1654,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1649,f54]) ).
fof(f1655,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f1654]) ).
fof(f1656,plain,
( ~ sQ122_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f528,f80]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f528,f68]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f528,f66]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f528,f64]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ122_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f528,f79]) ).
fof(f1661,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1656,f50]) ).
fof(f1662,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1663,plain,
( ~ sQ121_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f525,f80]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f525,f68]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f525,f66]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f525,f64]) ).
fof(f1667,plain,
! [X0] :
( ~ sQ121_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f525,f79]) ).
fof(f1668,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1663,f46]) ).
fof(f1669,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1668]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f518,f68]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f518,f66]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f518,f64]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ119_spl
| product2(e_5,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f518,f79]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f515,f68]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f515,f66]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f515,f64]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ118_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f515,f79]) ).
fof(f1678,plain,
( ~ sQ17_spl
| ~ sQ117_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f512,f1003]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f512,f68]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f512,f66]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f512,f64]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ117_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f512,f79]) ).
fof(f1683,plain,
( ~ sQ17_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1678,f45]) ).
fof(f1684,plain,
( ~ sQ17_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f1683]) ).
fof(f1685,plain,
( ~ sQ116_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f509,f82]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f509,f68]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f509,f66]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f509,f64]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ116_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f509,f79]) ).
fof(f1690,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1685,f42]) ).
fof(f1691,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1690]) ).
fof(f1692,plain,
( ~ sQ77_spl
| ~ sQ89_spl
| product2(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1542,f371]) ).
fof(f1693,plain,
( ~ sQ115_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f506,f83]) ).
fof(f1694,plain,
( ~ sQ115_spl
| product2(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f506,f81]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f506,f68]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f506,f66]) ).
fof(f1697,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f506,f64]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ115_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f506,f79]) ).
fof(f1699,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1693,f46]) ).
fof(f1700,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f1699]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f502,f68]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f502,f66]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f502,f64]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ114_spl
| product2(e_5,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f502,f79]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f499,f68]) ).
fof(f1706,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f499,f66]) ).
fof(f1707,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f499,f64]) ).
fof(f1708,plain,
! [X0] :
( ~ sQ113_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f499,f79]) ).
fof(f1709,plain,
( ~ sQ112_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f496,f82]) ).
fof(f1710,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f496,f68]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f496,f66]) ).
fof(f1712,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f496,f64]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ112_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f496,f79]) ).
fof(f1714,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1709,f43]) ).
fof(f1715,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f1714]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f493,f68]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f493,f66]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f493,f64]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ111_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f493,f79]) ).
fof(f1720,plain,
( ~ sQ110_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f490,f83]) ).
fof(f1721,plain,
( ~ sQ110_spl
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f490,f81]) ).
fof(f1722,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f490,f68]) ).
fof(f1723,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f490,f66]) ).
fof(f1724,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f490,f64]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ110_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f490,f79]) ).
fof(f1726,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1720,f50]) ).
fof(f1727,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f1726]) ).
fof(f1728,plain,
( ~ sQ77_spl
| ~ sQ85_spl
| product2(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1565,f371]) ).
fof(f1729,plain,
( ~ sQ78_spl
| ~ sQ80_spl
| product2(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1604,f374]) ).
fof(f1731,plain,
( ~ sQ114_spl
| ~ sQ89_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1540,f502]) ).
fof(f1733,plain,
( ~ sQ114_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1731,f42]) ).
fof(f1734,plain,
( ~ sQ114_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1733]) ).
fof(f1735,plain,
( ~ sQ80_spl
| ~ sQ85_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1562,f381]) ).
fof(f1737,plain,
( ~ sQ80_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f56]) ).
fof(f1738,plain,
( ~ sQ80_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1737]) ).
fof(f1739,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f486,f68]) ).
fof(f1740,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f486,f66]) ).
fof(f1741,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f486,f64]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ109_spl
| product2(e_5,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f486,f79]) ).
fof(f1743,plain,
( ~ sQ108_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f483,f82]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f483,f68]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f483,f66]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f483,f64]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ108_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f483,f79]) ).
fof(f1748,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1743,f44]) ).
fof(f1749,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f1748]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f480,f68]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f480,f66]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f480,f64]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ107_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f480,f79]) ).
fof(f1754,plain,
( ~ sQ56_spl
| ~ sQ106_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f477,f1397]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f477,f68]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f477,f66]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f477,f64]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ106_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f477,f79]) ).
fof(f1759,plain,
( ~ sQ56_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1754,f43]) ).
fof(f1760,plain,
( ~ sQ56_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1759]) ).
fof(f1761,plain,
( ~ sQ105_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f474,f83]) ).
fof(f1762,plain,
( ~ sQ105_spl
| product2(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f474,f81]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f474,f68]) ).
fof(f1764,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f474,f66]) ).
fof(f1765,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f474,f64]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ105_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f474,f79]) ).
fof(f1767,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1761,f54]) ).
fof(f1768,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f1767]) ).
fof(f1769,plain,
( ~ sQ104_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f470,f82]) ).
fof(f1770,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f470,f68]) ).
fof(f1771,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f470,f66]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f470,f64]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ104_spl
| product2(e_5,X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f470,f79]) ).
fof(f1774,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1769,f45]) ).
fof(f1775,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f1774]) ).
fof(f1780,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f467,f68]) ).
fof(f1781,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f467,f66]) ).
fof(f1782,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f467,f64]) ).
fof(f1783,plain,
! [X0] :
( ~ sQ103_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f467,f79]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f464,f68]) ).
fof(f1785,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f464,f66]) ).
fof(f1786,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f464,f64]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ102_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f464,f79]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f461,f68]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f461,f66]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f461,f64]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ101_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f461,f79]) ).
fof(f1792,plain,
( ~ sQ100_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f458,f83]) ).
fof(f1793,plain,
( ~ sQ100_spl
| product2(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f458,f81]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f458,f68]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f458,f66]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f458,f64]) ).
fof(f1797,plain,
! [X0] :
( ~ sQ100_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f458,f79]) ).
fof(f1798,plain,
( ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1792,f58]) ).
fof(f1799,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f1798]) ).
fof(f1800,plain,
( ~ sQ149_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f644,f88]) ).
fof(f1801,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f644,f76]) ).
fof(f1802,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f644,f74]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f644,f72]) ).
fof(f1804,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1800,f45]) ).
fof(f1805,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f1804]) ).
fof(f1806,plain,
( ~ sQ103_spl
| ~ sQ78_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1613,f467]) ).
fof(f1808,plain,
( ~ sQ103_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1806,f42]) ).
fof(f1809,plain,
( ~ sQ103_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1808]) ).
fof(f1811,plain,
( ~ sQ102_spl
| ~ sQ77_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1623,f464]) ).
fof(f1813,plain,
( ~ sQ102_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1811,f42]) ).
fof(f1814,plain,
( ~ sQ102_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1813]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f641,f76]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f641,f74]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f641,f72]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f638,f76]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f638,f74]) ).
fof(f1820,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f638,f72]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f635,f76]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f635,f74]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f635,f72]) ).
fof(f1824,plain,
( ~ sQ145_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f632,f87]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f632,f76]) ).
fof(f1826,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f632,f74]) ).
fof(f1827,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f632,f72]) ).
fof(f1828,plain,
( ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1824,f58]) ).
fof(f1829,plain,
~ sQ145_spl,
inference(contradiction_clause,[status(thm)],[f1828]) ).
fof(f1830,plain,
( ~ sQ144_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f628,f88]) ).
fof(f1831,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f628,f76]) ).
fof(f1832,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f628,f74]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f628,f72]) ).
fof(f1834,plain,
( ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1830,f49]) ).
fof(f1835,plain,
~ sQ144_spl,
inference(contradiction_clause,[status(thm)],[f1834]) ).
fof(f1836,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f625,f76]) ).
fof(f1837,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f625,f74]) ).
fof(f1838,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f625,f72]) ).
fof(f1839,plain,
( ~ sQ111_spl
| ~ sQ119_spl
| product2(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1673,f493]) ).
fof(f1840,plain,
( ~ sQ101_spl
| ~ sQ119_spl
| product2(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f1673,f461]) ).
fof(f1841,plain,
( ~ sQ111_spl
| ~ sQ118_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1677,f493]) ).
fof(f1842,plain,
( ~ sQ101_spl
| ~ sQ118_spl
| product2(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1677,f461]) ).
fof(f1843,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1051,f493]) ).
fof(f1844,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1843,f45]) ).
fof(f1845,plain,
( ~ sQ111_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1844]) ).
fof(f1846,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f622,f76]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f622,f74]) ).
fof(f1848,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f622,f72]) ).
fof(f1849,plain,
( ~ sQ141_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f619,f87]) ).
fof(f1850,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f619,f76]) ).
fof(f1851,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f619,f74]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f619,f72]) ).
fof(f1853,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1849,f59]) ).
fof(f1854,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f1853]) ).
fof(f1855,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f616,f76]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f616,f74]) ).
fof(f1857,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f616,f72]) ).
fof(f1858,plain,
( ~ sQ139_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f612,f88]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f612,f76]) ).
fof(f1860,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f612,f74]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f612,f72]) ).
fof(f1862,plain,
( ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1858,f53]) ).
fof(f1863,plain,
~ sQ139_spl,
inference(contradiction_clause,[status(thm)],[f1862]) ).
fof(f1864,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f609,f76]) ).
fof(f1865,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f609,f74]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f609,f72]) ).
fof(f1867,plain,
( ~ sQ137_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f606,f87]) ).
fof(f1868,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f606,f76]) ).
fof(f1869,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f606,f74]) ).
fof(f1870,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f606,f72]) ).
fof(f1871,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1867,f60]) ).
fof(f1872,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f1871]) ).
fof(f1873,plain,
( ~ sQ107_spl
| ~ sQ113_spl
| product2(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1708,f480]) ).
fof(f1875,plain,
( ~ sQ109_spl
| ~ sQ119_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1670,f486]) ).
fof(f1876,plain,
( ~ sQ109_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1875,f55]) ).
fof(f1877,plain,
( ~ sQ109_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1876]) ).
fof(f1879,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1674,f499]) ).
fof(f1880,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1879,f51]) ).
fof(f1881,plain,
( ~ sQ113_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f1880]) ).
fof(f1882,plain,
( ~ sQ10_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1117,f51]) ).
fof(f1883,plain,
( ~ sQ10_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1882]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f603,f76]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f603,f74]) ).
fof(f1886,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f603,f72]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f600,f76]) ).
fof(f1888,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f600,f74]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f600,f72]) ).
fof(f1890,plain,
( ~ sQ134_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f596,f88]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f596,f76]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f596,f74]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f596,f72]) ).
fof(f1894,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1890,f57]) ).
fof(f1895,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f1894]) ).
fof(f1896,plain,
( ~ sQ133_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f593,f87]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f593,f76]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f593,f74]) ).
fof(f1899,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f593,f72]) ).
fof(f1900,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1896,f61]) ).
fof(f1901,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f1900]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f590,f76]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f590,f74]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f590,f72]) ).
fof(f1905,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f587,f76]) ).
fof(f1906,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f587,f74]) ).
fof(f1907,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f587,f72]) ).
fof(f1908,plain,
( ~ sQ80_spl
| ~ sQ97_spl
| product2(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1452,f381]) ).
fof(f1909,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f584,f76]) ).
fof(f1910,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f584,f74]) ).
fof(f1911,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f584,f72]) ).
fof(f1912,plain,
( ~ sQ128_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f577,f85]) ).
fof(f1913,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f577,f76]) ).
fof(f1914,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f577,f74]) ).
fof(f1915,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f577,f72]) ).
fof(f1916,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1912,f57]) ).
fof(f1917,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f1916]) ).
fof(f1918,plain,
( ~ sQ127_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f574,f85]) ).
fof(f1919,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f574,f76]) ).
fof(f1920,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f574,f74]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f574,f72]) ).
fof(f1922,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1918,f53]) ).
fof(f1923,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f1922]) ).
fof(f1924,plain,
( ~ sQ126_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f571,f85]) ).
fof(f1925,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f571,f76]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f571,f74]) ).
fof(f1927,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f571,f72]) ).
fof(f1928,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1924,f49]) ).
fof(f1929,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f1928]) ).
fof(f1930,plain,
( ~ sQ125_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f568,f85]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f568,f76]) ).
fof(f1932,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f568,f74]) ).
fof(f1933,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f568,f72]) ).
fof(f1934,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1930,f45]) ).
fof(f1935,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f1934]) ).
fof(f1936,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f729,f76]) ).
fof(f1937,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f729,f74]) ).
fof(f1938,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f729,f72]) ).
fof(f1942,plain,
( ~ sQ173_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f726,f88]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f726,f76]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f726,f74]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f726,f72]) ).
fof(f1946,plain,
( ~ sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1942,f44]) ).
fof(f1947,plain,
~ sQ173_spl,
inference(contradiction_clause,[status(thm)],[f1946]) ).
fof(f1948,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f723,f76]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f723,f74]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f723,f72]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f720,f76]) ).
fof(f1952,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f720,f74]) ).
fof(f1953,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f720,f72]) ).
fof(f1954,plain,
( ~ sQ170_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f717,f87]) ).
fof(f1955,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f717,f76]) ).
fof(f1956,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f717,f74]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f717,f72]) ).
fof(f1958,plain,
( ~ sQ170_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1954,f54]) ).
fof(f1959,plain,
~ sQ170_spl,
inference(contradiction_clause,[status(thm)],[f1958]) ).
fof(f1960,plain,
! [X0] :
( ~ sQ169_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f713,f76]) ).
fof(f1961,plain,
! [X0] :
( ~ sQ169_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f713,f74]) ).
fof(f1962,plain,
! [X0] :
( ~ sQ169_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f713,f72]) ).
fof(f1963,plain,
( ~ sQ168_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f710,f88]) ).
fof(f1964,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f710,f76]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f710,f74]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f710,f72]) ).
fof(f1967,plain,
( ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1963,f48]) ).
fof(f1968,plain,
~ sQ168_spl,
inference(contradiction_clause,[status(thm)],[f1967]) ).
fof(f1971,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f707,f76]) ).
fof(f1972,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f707,f74]) ).
fof(f1973,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f707,f72]) ).
fof(f1974,plain,
( ~ sQ166_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f704,f87]) ).
fof(f1975,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f704,f76]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f704,f74]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f704,f72]) ).
fof(f1978,plain,
( ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1974,f55]) ).
fof(f1979,plain,
~ sQ166_spl,
inference(contradiction_clause,[status(thm)],[f1978]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f701,f76]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f701,f74]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f701,f72]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ164_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f697,f76]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ164_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f697,f74]) ).
fof(f1985,plain,
! [X0] :
( ~ sQ164_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f697,f72]) ).
fof(f1986,plain,
( ~ sQ163_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f694,f88]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f694,f76]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f694,f74]) ).
fof(f1989,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f694,f72]) ).
fof(f1990,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1986,f52]) ).
fof(f1991,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f1990]) ).
fof(f1992,plain,
( ~ sQ162_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f691,f87]) ).
fof(f1993,plain,
! [X0] :
( ~ sQ162_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f691,f76]) ).
fof(f1994,plain,
! [X0] :
( ~ sQ162_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f691,f74]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ162_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f691,f72]) ).
fof(f1996,plain,
( ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1992,f56]) ).
fof(f1997,plain,
~ sQ162_spl,
inference(contradiction_clause,[status(thm)],[f1996]) ).
fof(f1999,plain,
( ~ sQ138_spl
| ~ sQ148_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1815,f609]) ).
fof(f2000,plain,
( ~ sQ143_spl
| ~ sQ148_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1815,f625]) ).
fof(f2002,plain,
( ~ sQ138_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1999,f50]) ).
fof(f2003,plain,
( ~ sQ138_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f2002]) ).
fof(f2004,plain,
( ~ sQ26_spl
| ~ sQ40_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1280,f640,f242,f197]) ).
fof(f2005,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1627,f59]) ).
fof(f2006,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f2005]) ).
fof(f2007,plain,
( ~ sQ132_spl
| ~ sQ147_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1818,f590]) ).
fof(f2008,plain,
( ~ sQ142_spl
| ~ sQ147_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1818,f622]) ).
fof(f2010,plain,
( ~ sQ132_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2007,f54]) ).
fof(f2011,plain,
( ~ sQ132_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2010]) ).
fof(f2012,plain,
( ~ sQ131_spl
| ~ sQ146_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1821,f587]) ).
fof(f2013,plain,
( ~ sQ136_spl
| ~ sQ146_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1821,f603]) ).
fof(f2015,plain,
( ~ sQ131_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2012,f54]) ).
fof(f2016,plain,
( ~ sQ131_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f2015]) ).
fof(f2017,plain,
( ~ sQ143_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2000,f46]) ).
fof(f2018,plain,
( ~ sQ143_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f2017]) ).
fof(f2019,plain,
( ~ sQ136_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2013,f50]) ).
fof(f2020,plain,
( ~ sQ136_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f2019]) ).
fof(f2021,plain,
( ~ sQ142_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2008,f46]) ).
fof(f2022,plain,
( ~ sQ142_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2021]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f688,f76]) ).
fof(f2024,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f688,f74]) ).
fof(f2025,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f688,f72]) ).
fof(f2026,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f685,f76]) ).
fof(f2027,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f685,f74]) ).
fof(f2028,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f685,f72]) ).
fof(f2029,plain,
( ~ sQ159_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f681,f85]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f681,f76]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f681,f74]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f681,f72]) ).
fof(f2033,plain,
( ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2029,f61]) ).
fof(f2034,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f2033]) ).
fof(f2035,plain,
( ~ sQ157_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f675,f85]) ).
fof(f2036,plain,
! [X0] :
( ~ sQ157_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f675,f76]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ157_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f675,f74]) ).
fof(f2038,plain,
! [X0] :
( ~ sQ157_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f675,f72]) ).
fof(f2039,plain,
( ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2035,f52]) ).
fof(f2040,plain,
~ sQ157_spl,
inference(contradiction_clause,[status(thm)],[f2039]) ).
fof(f2041,plain,
( ~ sQ156_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f672,f85]) ).
fof(f2042,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f672,f76]) ).
fof(f2043,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f672,f74]) ).
fof(f2044,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f672,f72]) ).
fof(f2045,plain,
( ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2041,f48]) ).
fof(f2046,plain,
~ sQ156_spl,
inference(contradiction_clause,[status(thm)],[f2045]) ).
fof(f2047,plain,
( ~ sQ155_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f669,f85]) ).
fof(f2048,plain,
! [X0] :
( ~ sQ155_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f669,f76]) ).
fof(f2049,plain,
! [X0] :
( ~ sQ155_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f669,f74]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ155_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f669,f72]) ).
fof(f2051,plain,
( ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2047,f44]) ).
fof(f2052,plain,
~ sQ155_spl,
inference(contradiction_clause,[status(thm)],[f2051]) ).
fof(f2053,plain,
( ~ sQ107_spl
| ~ sQ113_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1873,f668,f498,f479]) ).
fof(f2054,plain,
( ~ sQ154_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f665,f87]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ154_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f665,f76]) ).
fof(f2056,plain,
! [X0] :
( ~ sQ154_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f665,f74]) ).
fof(f2057,plain,
! [X0] :
( ~ sQ154_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f665,f72]) ).
fof(f2058,plain,
( ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2054,f57]) ).
fof(f2059,plain,
~ sQ154_spl,
inference(contradiction_clause,[status(thm)],[f2058]) ).
fof(f2060,plain,
( ~ sQ153_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f662,f88]) ).
fof(f2061,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f662,f76]) ).
fof(f2062,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f662,f74]) ).
fof(f2063,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f662,f72]) ).
fof(f2064,plain,
( ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2060,f61]) ).
fof(f2065,plain,
~ sQ153_spl,
inference(contradiction_clause,[status(thm)],[f2064]) ).
fof(f2066,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f659,f76]) ).
fof(f2067,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f659,f74]) ).
fof(f2068,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f659,f72]) ).
fof(f2069,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f656,f76]) ).
fof(f2070,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f656,f74]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f656,f72]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ150_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f653,f76]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ150_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f653,f74]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ150_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f653,f72]) ).
fof(f2075,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f814,f76]) ).
fof(f2076,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f814,f74]) ).
fof(f2077,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f814,f72]) ).
fof(f2078,plain,
( ~ sQ130_spl
| ~ sQ140_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1855,f584]) ).
fof(f2079,plain,
( ~ sQ135_spl
| ~ sQ140_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1855,f600]) ).
fof(f2081,plain,
( ~ sQ130_spl
| ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2078,f55]) ).
fof(f2082,plain,
( ~ sQ130_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f2081]) ).
fof(f2083,plain,
( ~ sQ135_spl
| ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f51]) ).
fof(f2084,plain,
( ~ sQ135_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f2083]) ).
fof(f2085,plain,
( ~ sQ101_spl
| ~ sQ118_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1842,f583,f514,f460]) ).
fof(f2086,plain,
( ~ sQ164_spl
| ~ sQ174_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1936,f697]) ).
fof(f2087,plain,
( ~ sQ169_spl
| ~ sQ174_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1936,f713]) ).
fof(f2089,plain,
( ~ sQ164_spl
| ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2086,f50]) ).
fof(f2090,plain,
( ~ sQ164_spl
| ~ sQ174_spl ),
inference(contradiction_clause,[status(thm)],[f2089]) ).
fof(f2091,plain,
! [X0] :
( ~ sQ198_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f811,f76]) ).
fof(f2092,plain,
! [X0] :
( ~ sQ198_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f811,f74]) ).
fof(f2093,plain,
! [X0] :
( ~ sQ198_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f811,f72]) ).
fof(f2094,plain,
( ~ sQ197_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f808,f88]) ).
fof(f2095,plain,
! [X0] :
( ~ sQ197_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f808,f76]) ).
fof(f2096,plain,
! [X0] :
( ~ sQ197_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f808,f74]) ).
fof(f2097,plain,
! [X0] :
( ~ sQ197_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f808,f72]) ).
fof(f2098,plain,
( ~ sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2094,f43]) ).
fof(f2099,plain,
~ sQ197_spl,
inference(contradiction_clause,[status(thm)],[f2098]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ196_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f805,f76]) ).
fof(f2101,plain,
! [X0] :
( ~ sQ196_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f805,f74]) ).
fof(f2102,plain,
! [X0] :
( ~ sQ196_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f805,f72]) ).
fof(f2103,plain,
( ~ sQ195_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f802,f87]) ).
fof(f2104,plain,
! [X0] :
( ~ sQ195_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f802,f76]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ195_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f802,f74]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ195_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f802,f72]) ).
fof(f2107,plain,
( ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2103,f50]) ).
fof(f2108,plain,
~ sQ195_spl,
inference(contradiction_clause,[status(thm)],[f2107]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ194_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f798,f76]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ194_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f798,f74]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ194_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f798,f72]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f795,f76]) ).
fof(f2113,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f795,f74]) ).
fof(f2114,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f795,f72]) ).
fof(f2115,plain,
( ~ sQ107_spl
| ~ sQ111_spl
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1719,f480]) ).
fof(f2116,plain,
( ~ sQ152_spl
| ~ sQ172_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1948,f659]) ).
fof(f2117,plain,
( ~ sQ167_spl
| ~ sQ172_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1948,f707]) ).
fof(f2119,plain,
( ~ sQ152_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2116,f58]) ).
fof(f2120,plain,
( ~ sQ152_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2119]) ).
fof(f2121,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ69_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1456,f76]) ).
fof(f2122,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ69_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1456,f74]) ).
fof(f2123,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ69_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1456,f72]) ).
fof(f2124,plain,
( ~ sQ151_spl
| ~ sQ171_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1951,f656]) ).
fof(f2125,plain,
( ~ sQ161_spl
| ~ sQ171_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1951,f688]) ).
fof(f2127,plain,
( ~ sQ151_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2124,f58]) ).
fof(f2128,plain,
( ~ sQ151_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f2127]) ).
fof(f2129,plain,
( ~ sQ167_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2117,f46]) ).
fof(f2130,plain,
( ~ sQ167_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2129]) ).
fof(f2131,plain,
( ~ sQ161_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2125,f50]) ).
fof(f2132,plain,
( ~ sQ161_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f2131]) ).
fof(f2133,plain,
( sQ152_spl
| ~ sQ56_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f1456]) ).
fof(f2134,plain,
( sQ152_spl
| ~ sQ56_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f2133]) ).
fof(f2136,plain,
( ~ sQ192_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f792,f88]) ).
fof(f2137,plain,
! [X0] :
( ~ sQ192_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f792,f76]) ).
fof(f2138,plain,
! [X0] :
( ~ sQ192_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f792,f74]) ).
fof(f2139,plain,
! [X0] :
( ~ sQ192_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f792,f72]) ).
fof(f2140,plain,
( ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2136,f47]) ).
fof(f2141,plain,
~ sQ192_spl,
inference(contradiction_clause,[status(thm)],[f2140]) ).
fof(f2142,plain,
( ~ sQ191_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f789,f87]) ).
fof(f2143,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f789,f76]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f789,f74]) ).
fof(f2145,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f789,f72]) ).
fof(f2146,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2142,f51]) ).
fof(f2147,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f2146]) ).
fof(f2148,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f786,f76]) ).
fof(f2149,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f786,f74]) ).
fof(f2150,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f786,f72]) ).
fof(f2151,plain,
( ~ sQ189_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f782,f85]) ).
fof(f2152,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f782,f76]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f782,f74]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f782,f72]) ).
fof(f2155,plain,
( ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2151,f60]) ).
fof(f2156,plain,
~ sQ189_spl,
inference(contradiction_clause,[status(thm)],[f2155]) ).
fof(f2157,plain,
( ~ sQ10_spl
| ~ sQ22_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1077,f781,f179,f141]) ).
fof(f2158,plain,
( ~ sQ188_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f779,f85]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ188_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f779,f76]) ).
fof(f2160,plain,
! [X0] :
( ~ sQ188_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f779,f74]) ).
fof(f2161,plain,
! [X0] :
( ~ sQ188_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f779,f72]) ).
fof(f2162,plain,
( ~ sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2158,f56]) ).
fof(f2163,plain,
~ sQ188_spl,
inference(contradiction_clause,[status(thm)],[f2162]) ).
fof(f2164,plain,
( ~ sQ186_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f773,f85]) ).
fof(f2165,plain,
! [X0] :
( ~ sQ186_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f773,f76]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ186_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f773,f74]) ).
fof(f2167,plain,
! [X0] :
( ~ sQ186_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f773,f72]) ).
fof(f2168,plain,
( ~ sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2164,f47]) ).
fof(f2169,plain,
~ sQ186_spl,
inference(contradiction_clause,[status(thm)],[f2168]) ).
fof(f2170,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ97_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1908,f76]) ).
fof(f2171,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ97_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1908,f74]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ97_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1908,f72]) ).
fof(f2173,plain,
( ~ sQ101_spl
| ~ sQ118_spl
| product2(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1677,f461]) ).
fof(f2174,plain,
( ~ sQ194_spl
| ~ sQ169_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1961,f798]) ).
fof(f2176,plain,
( ~ sQ194_spl
| ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2174,f52]) ).
fof(f2177,plain,
( ~ sQ194_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f2176]) ).
fof(f2178,plain,
( ~ sQ150_spl
| ~ sQ165_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1980,f653]) ).
fof(f2179,plain,
( ~ sQ160_spl
| ~ sQ165_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1980,f685]) ).
fof(f2181,plain,
( ~ sQ150_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2178,f59]) ).
fof(f2182,plain,
( ~ sQ150_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2181]) ).
fof(f2183,plain,
( sQ161_spl
| ~ sQ80_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f689,f1908]) ).
fof(f2184,plain,
( sQ161_spl
| ~ sQ80_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f2183]) ).
fof(f2185,plain,
( ~ sQ185_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f770,f85]) ).
fof(f2186,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f770,f76]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f770,f74]) ).
fof(f2188,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f770,f72]) ).
fof(f2189,plain,
( ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2185,f43]) ).
fof(f2190,plain,
~ sQ185_spl,
inference(contradiction_clause,[status(thm)],[f2189]) ).
fof(f2191,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f766,f76]) ).
fof(f2192,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f766,f74]) ).
fof(f2193,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f766,f72]) ).
fof(f2194,plain,
( ~ sQ183_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f763,f87]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ183_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f763,f76]) ).
fof(f2196,plain,
! [X0] :
( ~ sQ183_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f763,f74]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ183_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f763,f72]) ).
fof(f2198,plain,
( ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2194,f52]) ).
fof(f2199,plain,
~ sQ183_spl,
inference(contradiction_clause,[status(thm)],[f2198]) ).
fof(f2200,plain,
( ~ sQ182_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f760,f88]) ).
fof(f2201,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f760,f76]) ).
fof(f2202,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f760,f74]) ).
fof(f2203,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f760,f72]) ).
fof(f2204,plain,
( ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2200,f56]) ).
fof(f2205,plain,
~ sQ182_spl,
inference(contradiction_clause,[status(thm)],[f2204]) ).
fof(f2206,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f757,f76]) ).
fof(f2207,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f757,f74]) ).
fof(f2208,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f757,f72]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f754,f76]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f754,f74]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f754,f72]) ).
fof(f2212,plain,
( ~ sQ150_spl
| ~ sQ160_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2026,f653]) ).
fof(f2214,plain,
( ~ sQ150_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2212,f60]) ).
fof(f2215,plain,
( ~ sQ150_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f2214]) ).
fof(f2216,plain,
( ~ sQ160_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2179,f51]) ).
fof(f2217,plain,
( ~ sQ160_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2216]) ).
fof(f2220,plain,
( ~ sQ179_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f750,f87]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f750,f76]) ).
fof(f2222,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f750,f74]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f750,f72]) ).
fof(f2224,plain,
( ~ sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2220,f53]) ).
fof(f2225,plain,
~ sQ179_spl,
inference(contradiction_clause,[status(thm)],[f2224]) ).
fof(f2226,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f747,f76]) ).
fof(f2227,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f747,f74]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f747,f72]) ).
fof(f2229,plain,
( ~ sQ177_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f744,f88]) ).
fof(f2230,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f744,f76]) ).
fof(f2231,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f744,f74]) ).
fof(f2232,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f744,f72]) ).
fof(f2233,plain,
( ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2229,f60]) ).
fof(f2234,plain,
~ sQ177_spl,
inference(contradiction_clause,[status(thm)],[f2233]) ).
fof(f2235,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f741,f76]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f741,f74]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f741,f72]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ175_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f738,f76]) ).
fof(f2239,plain,
! [X0] :
( ~ sQ175_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f738,f74]) ).
fof(f2240,plain,
! [X0] :
( ~ sQ175_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f738,f72]) ).
fof(f2241,plain,
! [X0] :
( ~ sQ224_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f902,f76]) ).
fof(f2242,plain,
! [X0] :
( ~ sQ224_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f902,f74]) ).
fof(f2243,plain,
! [X0] :
( ~ sQ224_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f902,f72]) ).
fof(f2244,plain,
! [X0] :
( ~ sQ223_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f899,f76]) ).
fof(f2245,plain,
! [X0] :
( ~ sQ223_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f899,f74]) ).
fof(f2246,plain,
! [X0] :
( ~ sQ223_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f899,f72]) ).
fof(f2247,plain,
! [X0] :
( ~ sQ222_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f896,f76]) ).
fof(f2248,plain,
! [X0] :
( ~ sQ222_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f896,f74]) ).
fof(f2249,plain,
! [X0] :
( ~ sQ222_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f896,f72]) ).
fof(f2250,plain,
( ~ sQ221_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f893,f88]) ).
fof(f2251,plain,
! [X0] :
( ~ sQ221_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f893,f76]) ).
fof(f2252,plain,
! [X0] :
( ~ sQ221_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f893,f74]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ221_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f893,f72]) ).
fof(f2254,plain,
( ~ sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2250,f42]) ).
fof(f2255,plain,
~ sQ221_spl,
inference(contradiction_clause,[status(thm)],[f2254]) ).
fof(f2256,plain,
( ~ sQ220_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f890,f87]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ220_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f890,f76]) ).
fof(f2258,plain,
! [X0] :
( ~ sQ220_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f890,f74]) ).
fof(f2259,plain,
! [X0] :
( ~ sQ220_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f890,f72]) ).
fof(f2260,plain,
( ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2256,f46]) ).
fof(f2261,plain,
~ sQ220_spl,
inference(contradiction_clause,[status(thm)],[f2260]) ).
fof(f2262,plain,
( ~ sQ219_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f886,f85]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ219_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f886,f76]) ).
fof(f2264,plain,
! [X0] :
( ~ sQ219_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f886,f74]) ).
fof(f2265,plain,
! [X0] :
( ~ sQ219_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f886,f72]) ).
fof(f2266,plain,
( ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2262,f59]) ).
fof(f2267,plain,
~ sQ219_spl,
inference(contradiction_clause,[status(thm)],[f2266]) ).
fof(f2268,plain,
( ~ sQ218_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f883,f85]) ).
fof(f2269,plain,
! [X0] :
( ~ sQ218_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f883,f76]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ218_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f883,f74]) ).
fof(f2271,plain,
! [X0] :
( ~ sQ218_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f883,f72]) ).
fof(f2272,plain,
( ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2268,f55]) ).
fof(f2273,plain,
~ sQ218_spl,
inference(contradiction_clause,[status(thm)],[f2272]) ).
fof(f2274,plain,
( ~ sQ101_spl
| ~ sQ26_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1256,f461]) ).
fof(f2275,plain,
( ~ sQ101_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2274,f44]) ).
fof(f2276,plain,
( ~ sQ101_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2275]) ).
fof(f2277,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1518,f637,f295,f288]) ).
fof(f2278,plain,
( ~ sQ107_spl
| ~ sQ111_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f2115,f700,f492,f479]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ21_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1157,f76]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ21_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1157,f74]) ).
fof(f2281,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ21_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1157,f72]) ).
fof(f2282,plain,
( ~ sQ217_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f880,f85]) ).
fof(f2283,plain,
! [X0] :
( ~ sQ217_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f880,f76]) ).
fof(f2284,plain,
! [X0] :
( ~ sQ217_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f880,f74]) ).
fof(f2285,plain,
! [X0] :
( ~ sQ217_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f880,f72]) ).
fof(f2286,plain,
( ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2282,f51]) ).
fof(f2287,plain,
~ sQ217_spl,
inference(contradiction_clause,[status(thm)],[f2286]) ).
fof(f2288,plain,
( ~ sQ215_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f874,f85]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ215_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f874,f76]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ215_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f874,f74]) ).
fof(f2291,plain,
! [X0] :
( ~ sQ215_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f874,f72]) ).
fof(f2292,plain,
( ~ sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2288,f42]) ).
fof(f2293,plain,
~ sQ215_spl,
inference(contradiction_clause,[status(thm)],[f2292]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ214_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f870,f76]) ).
fof(f2295,plain,
! [X0] :
( ~ sQ214_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f870,f74]) ).
fof(f2296,plain,
! [X0] :
( ~ sQ214_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f870,f72]) ).
fof(f2297,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f867,f76]) ).
fof(f2298,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f867,f74]) ).
fof(f2299,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f867,f72]) ).
fof(f2300,plain,
( ~ sQ212_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f864,f87]) ).
fof(f2301,plain,
! [X0] :
( ~ sQ212_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f864,f76]) ).
fof(f2302,plain,
! [X0] :
( ~ sQ212_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f864,f74]) ).
fof(f2303,plain,
! [X0] :
( ~ sQ212_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f864,f72]) ).
fof(f2304,plain,
( ~ sQ212_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2300,f47]) ).
fof(f2305,plain,
~ sQ212_spl,
inference(contradiction_clause,[status(thm)],[f2304]) ).
fof(f2306,plain,
( ~ sQ211_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f861,f88]) ).
fof(f2307,plain,
! [X0] :
( ~ sQ211_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f861,f76]) ).
fof(f2308,plain,
! [X0] :
( ~ sQ211_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f861,f74]) ).
fof(f2309,plain,
! [X0] :
( ~ sQ211_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f861,f72]) ).
fof(f2310,plain,
( ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2306,f51]) ).
fof(f2311,plain,
~ sQ211_spl,
inference(contradiction_clause,[status(thm)],[f2310]) ).
fof(f2312,plain,
( ~ sQ184_spl
| ~ sQ10_spl
| ~ sQ21_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2279,f766]) ).
fof(f2314,plain,
( ~ sQ199_spl
| ~ sQ10_spl
| ~ sQ21_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2279,f814]) ).
fof(f2315,plain,
( ~ sQ184_spl
| ~ sQ10_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2312,f55]) ).
fof(f2316,plain,
( ~ sQ184_spl
| ~ sQ10_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2315]) ).
fof(f2317,plain,
( ~ sQ199_spl
| ~ sQ10_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2314,f42]) ).
fof(f2318,plain,
( ~ sQ199_spl
| ~ sQ10_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2319,plain,
! [X0] :
( ~ sQ210_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f858,f76]) ).
fof(f2320,plain,
! [X0] :
( ~ sQ210_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f858,f74]) ).
fof(f2321,plain,
! [X0] :
( ~ sQ210_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f858,f72]) ).
fof(f2322,plain,
! [X0] :
( ~ sQ209_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f854,f76]) ).
fof(f2323,plain,
! [X0] :
( ~ sQ209_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f854,f74]) ).
fof(f2324,plain,
! [X0] :
( ~ sQ209_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f854,f72]) ).
fof(f2325,plain,
( ~ sQ208_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f851,f87]) ).
fof(f2326,plain,
! [X0] :
( ~ sQ208_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f851,f76]) ).
fof(f2327,plain,
! [X0] :
( ~ sQ208_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f851,f74]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ208_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f851,f72]) ).
fof(f2329,plain,
( ~ sQ208_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2325,f48]) ).
fof(f2330,plain,
~ sQ208_spl,
inference(contradiction_clause,[status(thm)],[f2329]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ207_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f848,f76]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ207_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f848,f74]) ).
fof(f2333,plain,
! [X0] :
( ~ sQ207_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f848,f72]) ).
fof(f2334,plain,
( ~ sQ206_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f845,f88]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ206_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f845,f76]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ206_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f845,f74]) ).
fof(f2337,plain,
! [X0] :
( ~ sQ206_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f845,f72]) ).
fof(f2338,plain,
( ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2334,f55]) ).
fof(f2339,plain,
~ sQ206_spl,
inference(contradiction_clause,[status(thm)],[f2338]) ).
fof(f2340,plain,
! [X0] :
( ~ sQ205_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f842,f76]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ205_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f842,f74]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ205_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f842,f72]) ).
fof(f2344,plain,
( ~ sQ204_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f838,f87]) ).
fof(f2345,plain,
! [X0] :
( ~ sQ204_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f838,f76]) ).
fof(f2346,plain,
! [X0] :
( ~ sQ204_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f838,f74]) ).
fof(f2347,plain,
! [X0] :
( ~ sQ204_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f838,f72]) ).
fof(f2348,plain,
( ~ sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2344,f49]) ).
fof(f2349,plain,
~ sQ204_spl,
inference(contradiction_clause,[status(thm)],[f2348]) ).
fof(f2350,plain,
! [X0] :
( ~ sQ203_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f835,f76]) ).
fof(f2351,plain,
! [X0] :
( ~ sQ203_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f835,f74]) ).
fof(f2352,plain,
! [X0] :
( ~ sQ203_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f835,f72]) ).
fof(f2353,plain,
! [X0] :
( ~ sQ202_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f832,f76]) ).
fof(f2354,plain,
! [X0] :
( ~ sQ202_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f832,f74]) ).
fof(f2355,plain,
! [X0] :
( ~ sQ202_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f832,f72]) ).
fof(f2356,plain,
( ~ sQ201_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f829,f88]) ).
fof(f2357,plain,
! [X0] :
( ~ sQ201_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f829,f76]) ).
fof(f2358,plain,
! [X0] :
( ~ sQ201_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f829,f74]) ).
fof(f2359,plain,
! [X0] :
( ~ sQ201_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f829,f72]) ).
fof(f2360,plain,
( ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2356,f59]) ).
fof(f2361,plain,
~ sQ201_spl,
inference(contradiction_clause,[status(thm)],[f2360]) ).
fof(f2362,plain,
! [X0] :
( ~ sQ200_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f826,f76]) ).
fof(f2363,plain,
! [X0] :
( ~ sQ200_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f826,f74]) ).
fof(f2364,plain,
! [X0] :
( ~ sQ200_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f826,f72]) ).
fof(f2365,plain,
( ~ sQ249_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f987,f85]) ).
fof(f2366,plain,
! [X0] :
( ~ sQ249_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f987,f76]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ249_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f987,f74]) ).
fof(f2368,plain,
! [X0] :
( ~ sQ249_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f987,f72]) ).
fof(f2369,plain,
( ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2365,f58]) ).
fof(f2370,plain,
~ sQ249_spl,
inference(contradiction_clause,[status(thm)],[f2369]) ).
fof(f2372,plain,
( ~ sQ190_spl
| ~ sQ10_spl
| ~ sQ21_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2281,f786]) ).
fof(f2373,plain,
( ~ sQ193_spl
| ~ sQ10_spl
| ~ sQ21_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2281,f795]) ).
fof(f2374,plain,
( ~ sQ190_spl
| ~ sQ10_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2372,f45]) ).
fof(f2375,plain,
( ~ sQ190_spl
| ~ sQ10_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2374]) ).
fof(f2376,plain,
( ~ sQ193_spl
| ~ sQ10_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2373,f57]) ).
fof(f2377,plain,
( ~ sQ193_spl
| ~ sQ10_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2376]) ).
fof(f2378,plain,
( ~ sQ65_spl
| ~ sQ71_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1454,f879,f346,f327]) ).
fof(f2379,plain,
( ~ sQ178_spl
| ~ sQ198_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2091,f747]) ).
fof(f2381,plain,
( ~ sQ178_spl
| ~ sQ198_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2379,f58]) ).
fof(f2382,plain,
( ~ sQ178_spl
| ~ sQ198_spl ),
inference(contradiction_clause,[status(thm)],[f2381]) ).
fof(f2383,plain,
( ~ sQ176_spl
| ~ sQ196_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2100,f741]) ).
fof(f2384,plain,
( ~ sQ181_spl
| ~ sQ196_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2100,f757]) ).
fof(f2386,plain,
( ~ sQ176_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2383,f58]) ).
fof(f2387,plain,
( ~ sQ176_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f2386]) ).
fof(f2388,plain,
( ~ sQ181_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2384,f54]) ).
fof(f2389,plain,
( ~ sQ181_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f2388]) ).
fof(f2390,plain,
( ~ sQ248_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f984,f85]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ248_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f984,f76]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ248_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f984,f74]) ).
fof(f2393,plain,
! [X0] :
( ~ sQ248_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f984,f72]) ).
fof(f2394,plain,
( ~ sQ248_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f54]) ).
fof(f2395,plain,
~ sQ248_spl,
inference(contradiction_clause,[status(thm)],[f2394]) ).
fof(f2396,plain,
( ~ sQ247_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f981,f85]) ).
fof(f2397,plain,
! [X0] :
( ~ sQ247_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f981,f76]) ).
fof(f2398,plain,
! [X0] :
( ~ sQ247_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f981,f74]) ).
fof(f2399,plain,
! [X0] :
( ~ sQ247_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f981,f72]) ).
fof(f2400,plain,
( ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2396,f50]) ).
fof(f2401,plain,
~ sQ247_spl,
inference(contradiction_clause,[status(thm)],[f2400]) ).
fof(f2402,plain,
( ~ sQ246_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f978,f85]) ).
fof(f2403,plain,
! [X0] :
( ~ sQ246_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f978,f76]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ246_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f978,f74]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ246_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f978,f72]) ).
fof(f2406,plain,
( ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2402,f46]) ).
fof(f2407,plain,
~ sQ246_spl,
inference(contradiction_clause,[status(thm)],[f2406]) ).
fof(f2408,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| ~ sQ244_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f971,f2280]) ).
fof(f2409,plain,
! [X0] :
( ~ sQ244_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f971,f76]) ).
fof(f2410,plain,
! [X0] :
( ~ sQ244_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f971,f74]) ).
fof(f2411,plain,
! [X0] :
( ~ sQ244_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f971,f72]) ).
fof(f2412,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| ~ sQ244_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2408,f43]) ).
fof(f2413,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f2412]) ).
fof(f2414,plain,
! [X0] :
( ~ sQ243_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f968,f76]) ).
fof(f2415,plain,
! [X0] :
( ~ sQ243_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f968,f74]) ).
fof(f2416,plain,
! [X0] :
( ~ sQ243_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f968,f72]) ).
fof(f2417,plain,
! [X0] :
( ~ sQ242_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f965,f76]) ).
fof(f2418,plain,
! [X0] :
( ~ sQ242_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f965,f74]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ242_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f965,f72]) ).
fof(f2422,plain,
( ~ sQ241_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f962,f87]) ).
fof(f2423,plain,
! [X0] :
( ~ sQ241_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f962,f76]) ).
fof(f2424,plain,
! [X0] :
( ~ sQ241_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f962,f74]) ).
fof(f2425,plain,
! [X0] :
( ~ sQ241_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f962,f72]) ).
fof(f2426,plain,
( ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2422,f42]) ).
fof(f2427,plain,
~ sQ241_spl,
inference(contradiction_clause,[status(thm)],[f2426]) ).
fof(f2428,plain,
( ~ sQ240_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f959,f88]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ240_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f959,f76]) ).
fof(f2430,plain,
! [X0] :
( ~ sQ240_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f959,f74]) ).
fof(f2431,plain,
! [X0] :
( ~ sQ240_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f959,f72]) ).
fof(f2432,plain,
( ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2428,f46]) ).
fof(f2433,plain,
~ sQ240_spl,
inference(contradiction_clause,[status(thm)],[f2432]) ).
fof(f2434,plain,
! [X0] :
( ~ sQ239_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f955,f76]) ).
fof(f2435,plain,
! [X0] :
( ~ sQ239_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f955,f74]) ).
fof(f2436,plain,
! [X0] :
( ~ sQ239_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f955,f72]) ).
fof(f2437,plain,
! [X0] :
( ~ sQ238_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f952,f76]) ).
fof(f2438,plain,
! [X0] :
( ~ sQ238_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f952,f74]) ).
fof(f2439,plain,
! [X0] :
( ~ sQ238_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f952,f72]) ).
fof(f2440,plain,
( ~ sQ237_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f949,f87]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ237_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f949,f76]) ).
fof(f2442,plain,
! [X0] :
( ~ sQ237_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f949,f74]) ).
fof(f2443,plain,
! [X0] :
( ~ sQ237_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f949,f72]) ).
fof(f2444,plain,
( ~ sQ237_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2440,f43]) ).
fof(f2445,plain,
~ sQ237_spl,
inference(contradiction_clause,[status(thm)],[f2444]) ).
fof(f2446,plain,
! [X0] :
( ~ sQ236_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f946,f76]) ).
fof(f2447,plain,
! [X0] :
( ~ sQ236_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f946,f74]) ).
fof(f2448,plain,
! [X0] :
( ~ sQ236_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f946,f72]) ).
fof(f2449,plain,
( ~ sQ235_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f943,f88]) ).
fof(f2450,plain,
! [X0] :
( ~ sQ235_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f943,f76]) ).
fof(f2451,plain,
! [X0] :
( ~ sQ235_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f943,f74]) ).
fof(f2452,plain,
! [X0] :
( ~ sQ235_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f943,f72]) ).
fof(f2453,plain,
( ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2449,f50]) ).
fof(f2454,plain,
~ sQ235_spl,
inference(contradiction_clause,[status(thm)],[f2453]) ).
fof(f2455,plain,
! [X0] :
( ~ sQ234_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f939,f76]) ).
fof(f2456,plain,
! [X0] :
( ~ sQ234_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f939,f74]) ).
fof(f2457,plain,
! [X0] :
( ~ sQ234_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f939,f72]) ).
fof(f2458,plain,
( ~ sQ233_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f936,f87]) ).
fof(f2459,plain,
! [X0] :
( ~ sQ233_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f936,f76]) ).
fof(f2460,plain,
! [X0] :
( ~ sQ233_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f936,f74]) ).
fof(f2461,plain,
! [X0] :
( ~ sQ233_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f936,f72]) ).
fof(f2462,plain,
( ~ sQ233_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2458,f44]) ).
fof(f2463,plain,
~ sQ233_spl,
inference(contradiction_clause,[status(thm)],[f2462]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f933,f76]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f933,f74]) ).
fof(f2466,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f933,f72]) ).
fof(f2467,plain,
! [X0] :
( ~ sQ231_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f930,f76]) ).
fof(f2468,plain,
! [X0] :
( ~ sQ231_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f930,f74]) ).
fof(f2469,plain,
! [X0] :
( ~ sQ231_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f930,f72]) ).
fof(f2470,plain,
( ~ sQ230_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f927,f88]) ).
fof(f2471,plain,
! [X0] :
( ~ sQ230_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f927,f76]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ230_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f927,f74]) ).
fof(f2473,plain,
! [X0] :
( ~ sQ230_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f927,f72]) ).
fof(f2474,plain,
( ~ sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2470,f54]) ).
fof(f2475,plain,
~ sQ230_spl,
inference(contradiction_clause,[status(thm)],[f2474]) ).
fof(f2476,plain,
( ~ sQ229_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f923,f87]) ).
fof(f2477,plain,
! [X0] :
( ~ sQ229_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f923,f76]) ).
fof(f2478,plain,
! [X0] :
( ~ sQ229_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f923,f74]) ).
fof(f2479,plain,
! [X0] :
( ~ sQ229_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f923,f72]) ).
fof(f2480,plain,
( ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2476,f45]) ).
fof(f2481,plain,
~ sQ229_spl,
inference(contradiction_clause,[status(thm)],[f2480]) ).
fof(f2482,plain,
! [X0] :
( ~ sQ228_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f920,f76]) ).
fof(f2483,plain,
! [X0] :
( ~ sQ228_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f920,f74]) ).
fof(f2484,plain,
! [X0] :
( ~ sQ228_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f920,f72]) ).
fof(f2485,plain,
! [X0] :
( ~ sQ227_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f917,f76]) ).
fof(f2486,plain,
! [X0] :
( ~ sQ227_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f917,f74]) ).
fof(f2487,plain,
! [X0] :
( ~ sQ227_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f917,f72]) ).
fof(f2488,plain,
! [X0] :
( ~ sQ226_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f914,f76]) ).
fof(f2489,plain,
! [X0] :
( ~ sQ226_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f914,f74]) ).
fof(f2490,plain,
! [X0] :
( ~ sQ226_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f914,f72]) ).
fof(f2491,plain,
( ~ sQ225_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f911,f88]) ).
fof(f2492,plain,
! [X0] :
( ~ sQ225_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f911,f76]) ).
fof(f2493,plain,
! [X0] :
( ~ sQ225_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f911,f74]) ).
fof(f2494,plain,
! [X0] :
( ~ sQ225_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f911,f72]) ).
fof(f2495,plain,
( ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2491,f58]) ).
fof(f2496,plain,
~ sQ225_spl,
inference(contradiction_clause,[status(thm)],[f2495]) ).
fof(f2497,plain,
( ~ sQ175_spl
| ~ sQ180_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2209,f738]) ).
fof(f2499,plain,
( ~ sQ175_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2497,f61]) ).
fof(f2500,plain,
( ~ sQ175_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f2499]) ).
fof(f2501,plain,
( ~ sQ205_spl
| ~ sQ180_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2210,f842]) ).
fof(f2503,plain,
( ~ sQ205_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2501,f47]) ).
fof(f2504,plain,
( ~ sQ205_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f2503]) ).
fof(f2506,plain,
( ~ sQ214_spl
| ~ sQ224_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2241,f870]) ).
fof(f2507,plain,
( ~ sQ209_spl
| ~ sQ224_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2241,f854]) ).
fof(f2508,plain,
( ~ sQ224_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2241,f902]) ).
fof(f2509,plain,
( ~ sQ214_spl
| ~ sQ224_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2506,f50]) ).
fof(f2510,plain,
( ~ sQ214_spl
| ~ sQ224_spl ),
inference(contradiction_clause,[status(thm)],[f2509]) ).
fof(f2511,plain,
( ~ sQ213_spl
| ~ sQ223_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2244,f867]) ).
fof(f2512,plain,
( ~ sQ203_spl
| ~ sQ223_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2244,f835]) ).
fof(f2514,plain,
( ~ sQ213_spl
| ~ sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2511,f50]) ).
fof(f2515,plain,
( ~ sQ213_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f2514]) ).
fof(f2516,plain,
( ~ sQ202_spl
| ~ sQ222_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2247,f832]) ).
fof(f2517,plain,
( ~ sQ207_spl
| ~ sQ222_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2247,f848]) ).
fof(f2519,plain,
( ~ sQ202_spl
| ~ sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2516,f58]) ).
fof(f2520,plain,
( ~ sQ202_spl
| ~ sQ222_spl ),
inference(contradiction_clause,[status(thm)],[f2519]) ).
fof(f2521,plain,
( ~ sQ203_spl
| ~ sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2512,f58]) ).
fof(f2522,plain,
( ~ sQ203_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f2521]) ).
fof(f2523,plain,
( ~ sQ207_spl
| ~ sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2517,f54]) ).
fof(f2524,plain,
( ~ sQ207_spl
| ~ sQ222_spl ),
inference(contradiction_clause,[status(thm)],[f2523]) ).
fof(f2525,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ73_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1372,f76]) ).
fof(f2526,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ73_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1372,f74]) ).
fof(f2527,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1372,f72]) ).
fof(f2529,plain,
( ~ sQ236_spl
| ~ sQ161_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2024,f946]) ).
fof(f2530,plain,
( ~ sQ236_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2529,f44]) ).
fof(f2531,plain,
( ~ sQ236_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f2530]) ).
fof(f2532,plain,
( ~ sQ232_spl
| ~ sQ65_spl
| ~ sQ73_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2526,f933]) ).
fof(f2534,plain,
( ~ sQ232_spl
| ~ sQ65_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2532,f42]) ).
fof(f2535,plain,
( ~ sQ232_spl
| ~ sQ65_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2534]) ).
fof(f2537,plain,
( ~ sQ209_spl
| ~ sQ65_spl
| ~ sQ73_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2527,f854]) ).
fof(f2538,plain,
( ~ sQ209_spl
| ~ sQ65_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2537,f60]) ).
fof(f2539,plain,
( ~ sQ209_spl
| ~ sQ65_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2538]) ).
fof(f2540,plain,
( ~ sQ111_spl
| ~ sQ118_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1841,f753,f514,f492]) ).
fof(f2541,plain,
( ~ sQ226_spl
| ~ sQ151_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2070,f914]) ).
fof(f2542,plain,
( ~ sQ226_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2541,f44]) ).
fof(f2543,plain,
( ~ sQ226_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f2542]) ).
fof(f2545,plain,
( ~ sQ200_spl
| ~ sQ210_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2319,f826]) ).
fof(f2546,plain,
( ~ sQ200_spl
| ~ sQ210_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2545,f60]) ).
fof(f2547,plain,
( ~ sQ200_spl
| ~ sQ210_spl ),
inference(contradiction_clause,[status(thm)],[f2546]) ).
fof(f2548,plain,
( sQ207_spl
| ~ sQ65_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f1372]) ).
fof(f2549,plain,
( sQ207_spl
| ~ sQ65_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2548]) ).
fof(f2553,plain,
( ~ sQ242_spl
| ~ sQ142_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1847,f965]) ).
fof(f2554,plain,
( ~ sQ242_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2553,f45]) ).
fof(f2555,plain,
( ~ sQ242_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f2554]) ).
fof(f2556,plain,
( ~ sQ238_spl
| ~ sQ243_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2414,f952]) ).
fof(f2557,plain,
( ~ sQ228_spl
| ~ sQ243_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2414,f920]) ).
fof(f2559,plain,
( ~ sQ238_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2556,f51]) ).
fof(f2560,plain,
( ~ sQ238_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f2559]) ).
fof(f2562,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f142,f1563]) ).
fof(f2564,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f142,f1095]) ).
fof(f2565,plain,
( ~ sQ21_spl
| ~ sQ10_spl
| product2(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f142,f554]) ).
fof(f2571,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2562,f59]) ).
fof(f2572,plain,
( ~ sQ85_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2571]) ).
fof(f2573,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2564,f52]) ).
fof(f2574,plain,
( ~ sQ5_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2573]) ).
fof(f2575,plain,
( ~ sQ228_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2557,f59]) ).
fof(f2576,plain,
( ~ sQ228_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f2575]) ).
fof(f2578,plain,
( ~ sQ234_spl
| ~ sQ239_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2434,f939]) ).
fof(f2579,plain,
( ~ sQ234_spl
| ~ sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2578,f56]) ).
fof(f2580,plain,
( ~ sQ234_spl
| ~ sQ239_spl ),
inference(contradiction_clause,[status(thm)],[f2579]) ).
fof(f2583,plain,
( ~ sQ231_spl
| ~ sQ234_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2457,f930]) ).
fof(f2585,plain,
( ~ sQ231_spl
| ~ sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2583,f49]) ).
fof(f2586,plain,
( ~ sQ231_spl
| ~ sQ234_spl ),
inference(contradiction_clause,[status(thm)],[f2585]) ).
fof(f2597,plain,
( ~ sQ10_spl
| ~ sQ23_spl
| product2(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f540,f142]) ).
fof(f2598,plain,
( ~ sQ111_spl
| ~ sQ117_spl
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1682,f493]) ).
fof(f2599,plain,
( ~ sQ111_spl
| ~ sQ117_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f2598,f769,f511,f492]) ).
fof(f2600,plain,
( ~ sQ73_spl
| ~ sQ55_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1400,f674,f295,f352]) ).
fof(f2601,plain,
( ~ sQ51_spl
| ~ sQ69_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1458,f573,f339,f282]) ).
fof(f2602,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1115,f728,f157,f128]) ).
fof(f2611,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f365,f1260]) ).
fof(f2613,plain,
( ~ sQ98_spl
| ~ sQ75_spl
| product2(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f365,f1448]) ).
fof(f2619,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2611,f48]) ).
fof(f2620,plain,
( ~ sQ25_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f2619]) ).
fof(f2621,plain,
( ~ sQ3_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f119,f80]) ).
fof(f2622,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f119,f68]) ).
fof(f2623,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f119,f66]) ).
fof(f2624,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f119,f64]) ).
fof(f2625,plain,
! [X0] :
( ~ sQ3_spl
| product2(e_4,X0,e_5)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f119,f79]) ).
fof(f2626,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2621,f57]) ).
fof(f2627,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2626]) ).
fof(f2629,plain,
( ~ sQ2_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f116,f80]) ).
fof(f2630,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f116,f68]) ).
fof(f2631,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f116,f66]) ).
fof(f2632,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f116,f64]) ).
fof(f2633,plain,
! [X0] :
( ~ sQ2_spl
| product2(e_3,X0,e_5)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f116,f79]) ).
fof(f2635,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2629,f53]) ).
fof(f2636,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f2635]) ).
fof(f2638,plain,
( ~ sQ15_spl
| ~ sQ1_spl
| product2(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f113,f1018]) ).
fof(f2639,plain,
( ~ sQ1_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f113,f80]) ).
fof(f2640,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f113,f68]) ).
fof(f2641,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f113,f66]) ).
fof(f2642,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f113,f64]) ).
fof(f2643,plain,
! [X0] :
( ~ sQ1_spl
| product2(e_2,X0,e_5)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f113,f79]) ).
fof(f2648,plain,
( ~ sQ0_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f110,f80]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f110,f68]) ).
fof(f2650,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f110,f66]) ).
fof(f2651,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f110,f64]) ).
fof(f2652,plain,
! [X0] :
( ~ sQ0_spl
| product2(e_1,X0,e_5)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f110,f79]) ).
fof(f2665,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| product2(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f262,f1149]) ).
fof(f2670,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2665,f951,f261,f248]) ).
fof(f2671,plain,
( ~ sQ77_spl
| ~ sQ85_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1728,f634,f396,f370]) ).
fof(f2674,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| product2(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f283,f1337]) ).
fof(f2683,plain,
( ~ sQ46_spl
| ~ sQ25_spl
| product2(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f195,f1126]) ).
fof(f2691,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ25_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2683,f76]) ).
fof(f2692,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ25_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2683,f74]) ).
fof(f2693,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ25_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2683,f72]) ).
fof(f2696,plain,
( ~ sQ35_spl
| ~ sQ42_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f249,f1200]) ).
fof(f2698,plain,
( ~ sQ39_spl
| ~ sQ42_spl
| product2(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f249,f1176]) ).
fof(f2703,plain,
( ~ sQ39_spl
| ~ sQ42_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f2698,f834,f248,f238]) ).
fof(f2705,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2648,f45]) ).
fof(f2706,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f2705]) ).
fof(f2707,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1339,f60]) ).
fof(f2708,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f2707]) ).
fof(f2710,plain,
( ~ sQ73_spl
| ~ sQ59_spl
| product2(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1370,f353]) ).
fof(f2713,plain,
( ~ sQ198_spl
| ~ sQ223_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f899,f2092]) ).
fof(f2719,plain,
( ~ sQ198_spl
| ~ sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2713,f47]) ).
fof(f2720,plain,
( ~ sQ198_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f2719]) ).
fof(f2730,plain,
( ~ sQ199_spl
| ~ sQ184_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f766,f2075]) ).
fof(f2735,plain,
( ~ sQ199_spl
| ~ sQ184_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2730,f54]) ).
fof(f2736,plain,
( ~ sQ199_spl
| ~ sQ184_spl ),
inference(contradiction_clause,[status(thm)],[f2735]) ).
fof(f2749,plain,
( ~ sQ184_spl
| ~ sQ234_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2456,f766]) ).
fof(f2750,plain,
( ~ sQ184_spl
| ~ sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2749,f50]) ).
fof(f2751,plain,
( ~ sQ184_spl
| ~ sQ234_spl ),
inference(contradiction_clause,[status(thm)],[f2750]) ).
fof(f2755,plain,
( ~ sQ117_spl
| ~ sQ106_spl
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f477,f1682]) ).
fof(f2768,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f328,f1016]) ).
fof(f2776,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2768,f53]) ).
fof(f2777,plain,
( ~ sQ15_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2776]) ).
fof(f2778,plain,
( ~ sQ10_spl
| ~ sQ23_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2597,f765,f182,f141]) ).
fof(f2779,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2639,f49]) ).
fof(f2780,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f2779]) ).
fof(f2785,plain,
( ~ sQ190_spl
| ~ sQ39_spl
| ~ sQ26_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1326,f2150]) ).
fof(f2786,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1326,f76]) ).
fof(f2787,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1326,f74]) ).
fof(f2788,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1326,f72]) ).
fof(f2789,plain,
( ~ sQ190_spl
| ~ sQ39_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2785,f54]) ).
fof(f2790,plain,
( ~ sQ190_spl
| ~ sQ39_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2789]) ).
fof(f2791,plain,
( ~ sQ200_spl
| ~ sQ65_spl
| ~ sQ74_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1371,f2364]) ).
fof(f2792,plain,
( ~ sQ227_spl
| ~ sQ65_spl
| ~ sQ74_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1371,f2486]) ).
fof(f2793,plain,
( ~ sQ207_spl
| ~ sQ65_spl
| ~ sQ74_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1371,f2331]) ).
fof(f2794,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1371,f76]) ).
fof(f2795,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ74_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1371,f74]) ).
fof(f2796,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1371,f72]) ).
fof(f2797,plain,
( ~ sQ200_spl
| ~ sQ65_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2791,f50]) ).
fof(f2798,plain,
( ~ sQ200_spl
| ~ sQ65_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2797]) ).
fof(f2799,plain,
( sQ239_spl
| ~ sQ21_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f956,f1028]) ).
fof(f2800,plain,
( sQ239_spl
| ~ sQ21_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2799]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2674,f76]) ).
fof(f2802,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2674,f74]) ).
fof(f2803,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2674,f72]) ).
fof(f2816,plain,
( ~ sQ80_spl
| ~ sQ97_spl
| ~ sQ151_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f656,f2170]) ).
fof(f2820,plain,
( ~ sQ80_spl
| ~ sQ97_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2816,f60]) ).
fof(f2821,plain,
( ~ sQ80_spl
| ~ sQ97_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f2820]) ).
fof(f2822,plain,
( ~ sQ227_spl
| ~ sQ242_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f965,f2485]) ).
fof(f2826,plain,
( ~ sQ227_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2822,f49]) ).
fof(f2827,plain,
( ~ sQ227_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f2826]) ).
fof(f2828,plain,
( ~ sQ73_spl
| ~ sQ59_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f2710,f916,f307,f352]) ).
fof(f2836,plain,
( ~ sQ136_spl
| ~ sQ131_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f587,f1884]) ).
fof(f2840,plain,
( ~ sQ136_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2836,f56]) ).
fof(f2841,plain,
( ~ sQ136_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f2840]) ).
fof(f2842,plain,
( ~ sQ98_spl
| ~ sQ75_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2613,f586,f364,f437]) ).
fof(f2843,plain,
( sQ147_spl
| ~ sQ65_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f639,f2674]) ).
fof(f2844,plain,
( sQ147_spl
| ~ sQ65_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2843]) ).
fof(f2845,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f243,f1335]) ).
fof(f2846,plain,
( ~ sQ47_spl
| ~ sQ40_spl
| product2(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f243,f1114]) ).
fof(f2851,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2845,f56]) ).
fof(f2852,plain,
( ~ sQ65_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2851]) ).
fof(f2889,plain,
( ~ sQ5_spl
| ~ sQ22_spl
| product2(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f548,f126]) ).
fof(f2890,plain,
( ~ sQ214_spl
| ~ sQ5_spl
| ~ sQ22_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2889,f2295]) ).
fof(f2891,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2889,f76]) ).
fof(f2892,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2889,f74]) ).
fof(f2893,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2889,f72]) ).
fof(f2894,plain,
( ~ sQ214_spl
| ~ sQ5_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2890,f55]) ).
fof(f2895,plain,
( ~ sQ214_spl
| ~ sQ5_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2894]) ).
fof(f2899,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| ~ sQ172_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f723,f2802]) ).
fof(f2903,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2899,f57]) ).
fof(f2904,plain,
( ~ sQ65_spl
| ~ sQ51_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2903]) ).
fof(f2905,plain,
( ~ sQ169_spl
| ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2087,f46]) ).
fof(f2906,plain,
( ~ sQ169_spl
| ~ sQ174_spl ),
inference(contradiction_clause,[status(thm)],[f2905]) ).
fof(f2910,plain,
( ~ sQ238_spl
| ~ sQ21_spl
| ~ sQ17_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1028,f2439]) ).
fof(f2911,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1028,f76]) ).
fof(f2912,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1028,f74]) ).
fof(f2913,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ17_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1028,f72]) ).
fof(f2914,plain,
( ~ sQ238_spl
| ~ sQ21_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2910,f61]) ).
fof(f2915,plain,
( ~ sQ238_spl
| ~ sQ21_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2914]) ).
fof(f2916,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ118_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2173,f76]) ).
fof(f2917,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ118_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2173,f74]) ).
fof(f2918,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ118_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2173,f72]) ).
fof(f2939,plain,
( ~ sQ42_spl
| ~ sQ46_spl
| product2(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f262,f1149]) ).
fof(f2950,plain,
( ~ sQ5_spl
| ~ sQ22_spl
| ~ sQ161_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2025,f2889]) ).
fof(f2952,plain,
( ~ sQ5_spl
| ~ sQ22_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2950,f59]) ).
fof(f2953,plain,
( ~ sQ5_spl
| ~ sQ22_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f2952]) ).
fof(f2990,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f280,f1260]) ).
fof(f2995,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2990,f52]) ).
fof(f2996,plain,
( ~ sQ25_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2995]) ).
fof(f2997,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1416,f608,f248,f197]) ).
fof(f2998,plain,
( ~ sQ35_spl
| ~ sQ42_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f2696,f898,f248,f226]) ).
fof(f2999,plain,
( ~ sQ50_spl
| ~ sQ74_spl
| product2(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1266,f280]) ).
fof(f3000,plain,
( ~ sQ50_spl
| ~ sQ74_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2999,f573,f355,f279]) ).
fof(f3001,plain,
( ~ sQ117_spl
| ~ sQ106_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2755,f684,f476,f511]) ).
fof(f3002,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2846,f76]) ).
fof(f3003,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2846,f74]) ).
fof(f3004,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ40_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2846,f72]) ).
fof(f3039,plain,
( ~ sQ85_spl
| ~ sQ82_spl
| product2(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f387,f1565]) ).
fof(f3044,plain,
( ~ sQ85_spl
| ~ sQ82_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f3039,f719,f386,f396]) ).
fof(f3053,plain,
( ~ sQ22_spl
| ~ sQ11_spl
| product2(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1053,f180]) ).
fof(f3054,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3053,f76]) ).
fof(f3055,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ11_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f3053,f74]) ).
fof(f3056,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f3053,f72]) ).
fof(f3072,plain,
( ~ sQ50_spl
| ~ sQ69_spl
| product2(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f340,f1440]) ).
fof(f3081,plain,
( ~ sQ138_spl
| ~ sQ47_spl
| ~ sQ40_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f3003,f609]) ).
fof(f3083,plain,
( ~ sQ138_spl
| ~ sQ47_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3081,f59]) ).
fof(f3084,plain,
( ~ sQ138_spl
| ~ sQ47_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3083]) ).
fof(f3085,plain,
( ~ sQ40_spl
| ~ sQ46_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1203,f882,f261,f242]) ).
fof(f3086,plain,
( ~ sQ39_spl
| ~ sQ27_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1325,f778,f200,f238]) ).
fof(f3087,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1281,f576,f238,f200]) ).
fof(f3088,plain,
( ~ sQ55_spl
| ~ sQ71_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1453,f706,f346,f295]) ).
fof(f3089,plain,
( ~ sQ101_spl
| ~ sQ119_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1840,f567,f517,f460]) ).
fof(f3124,plain,
( ~ sQ22_spl
| ~ sQ11_spl
| ~ sQ243_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2416,f3053]) ).
fof(f3125,plain,
( ~ sQ22_spl
| ~ sQ11_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3124,f61]) ).
fof(f3126,plain,
( ~ sQ22_spl
| ~ sQ11_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f3125]) ).
fof(f3139,plain,
( ~ sQ113_spl
| ~ sQ106_spl
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1758,f499]) ).
fof(f3140,plain,
( ~ sQ113_spl
| ~ sQ106_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f3139,f785,f476,f498]) ).
fof(f3145,plain,
( ~ sQ47_spl
| ~ sQ40_spl
| ~ sQ203_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f835,f3002]) ).
fof(f3149,plain,
( ~ sQ47_spl
| ~ sQ40_spl
| ~ sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3145,f60]) ).
fof(f3150,plain,
( ~ sQ47_spl
| ~ sQ40_spl
| ~ sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f3149]) ).
fof(f3163,plain,
( ~ sQ55_spl
| ~ sQ71_spl
| product2(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1291,f296]) ).
fof(f3164,plain,
( ~ sQ27_spl
| ~ sQ35_spl
| product2(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1200,f201]) ).
fof(f3173,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f227,f1169]) ).
fof(f3178,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3173,f51]) ).
fof(f3179,plain,
( ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3178]) ).
fof(f3183,plain,
( ~ sQ71_spl
| ~ sQ68_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1306,f347]) ).
fof(f3184,plain,
( ~ sQ51_spl
| ~ sQ68_spl
| product2(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1306,f283]) ).
fof(f3185,plain,
( ~ sQ231_spl
| ~ sQ71_spl
| ~ sQ68_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f3183,f2469]) ).
fof(f3186,plain,
( ~ sQ227_spl
| ~ sQ71_spl
| ~ sQ68_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f3183,f2485]) ).
fof(f3187,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ68_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f3183,f76]) ).
fof(f3188,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ68_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3183,f74]) ).
fof(f3189,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ68_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f3183,f72]) ).
fof(f3190,plain,
( ~ sQ231_spl
| ~ sQ71_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3185,f51]) ).
fof(f3191,plain,
( ~ sQ231_spl
| ~ sQ71_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f3190]) ).
fof(f3192,plain,
( ~ sQ27_spl
| ~ sQ35_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f3164,f640,f226,f200]) ).
fof(f3193,plain,
( ~ sQ50_spl
| ~ sQ69_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3072,f895,f339,f279]) ).
fof(f3194,plain,
( ~ sQ239_spl
| ~ sQ5_spl
| ~ sQ22_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2889,f2435]) ).
fof(f3198,plain,
( ~ sQ239_spl
| ~ sQ5_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3194,f54]) ).
fof(f3199,plain,
( ~ sQ239_spl
| ~ sQ5_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3198]) ).
fof(f3202,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f397,f1198]) ).
fof(f3203,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f397,f68]) ).
fof(f3204,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f397,f66]) ).
fof(f3205,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f397,f64]) ).
fof(f3206,plain,
! [X0] :
( ~ sQ85_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f397,f79]) ).
fof(f3207,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3202,f48]) ).
fof(f3208,plain,
( ~ sQ35_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3207]) ).
fof(f3209,plain,
( ~ sQ21_spl
| ~ sQ15_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1014,f885,f157,f176]) ).
fof(f3210,plain,
( ~ sQ50_spl
| ~ sQ71_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1455,f621,f346,f279]) ).
fof(f3211,plain,
( ~ sQ71_spl
| ~ sQ69_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1457,f916,f339,f346]) ).
fof(f3212,plain,
( ~ sQ78_spl
| ~ sQ80_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1729,f634,f380,f373]) ).
fof(f3213,plain,
( ~ sQ51_spl
| ~ sQ68_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3184,f589,f336,f282]) ).
fof(f3224,plain,
( ~ sQ152_spl
| ~ sQ167_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1971,f659]) ).
fof(f3226,plain,
( ~ sQ152_spl
| ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3224,f59]) ).
fof(f3227,plain,
( ~ sQ152_spl
| ~ sQ167_spl ),
inference(contradiction_clause,[status(thm)],[f3226]) ).
fof(f3285,plain,
( ~ sQ13_spl
| ~ sQ88_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f406,f1038]) ).
fof(f3286,plain,
( ~ sQ80_spl
| ~ sQ88_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f406,f1604]) ).
fof(f3291,plain,
( ~ sQ13_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3285,f49]) ).
fof(f3292,plain,
( ~ sQ13_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f3291]) ).
fof(f3293,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3163,f76]) ).
fof(f3294,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ71_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f3163,f74]) ).
fof(f3295,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ71_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f3163,f72]) ).
fof(f3308,plain,
( ~ sQ26_spl
| ~ sQ44_spl
| product2(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1137,f198]) ).
fof(f3309,plain,
( ~ sQ26_spl
| ~ sQ44_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f3308,f576,f254,f197]) ).
fof(f3326,plain,
( ~ sQ69_spl
| ~ sQ44_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1135,f340]) ).
fof(f3328,plain,
( ~ sQ69_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3326,f52]) ).
fof(f3329,plain,
( ~ sQ69_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3328]) ).
fof(f3330,plain,
( ~ sQ227_spl
| ~ sQ71_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3186,f57]) ).
fof(f3331,plain,
( ~ sQ227_spl
| ~ sQ71_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f3330]) ).
fof(f3354,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f145,f1018]) ).
fof(f3359,plain,
( ~ sQ15_spl
| ~ sQ11_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f3354,f813,f144,f157]) ).
fof(f3360,plain,
( ~ sQ88_spl
| ~ sQ82_spl
| product2(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1592,f406]) ).
fof(f3361,plain,
( ~ sQ88_spl
| ~ sQ82_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f3360,f772,f386,f405]) ).
fof(f3362,plain,
( ~ sQ227_spl
| ~ sQ56_spl
| ~ sQ69_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1456,f2486]) ).
fof(f3363,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ69_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1456,f76]) ).
fof(f3364,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ69_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1456,f74]) ).
fof(f3365,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ69_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1456,f72]) ).
fof(f3366,plain,
( ~ sQ227_spl
| ~ sQ56_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3362,f54]) ).
fof(f3367,plain,
( ~ sQ227_spl
| ~ sQ56_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f3366]) ).
fof(f3368,plain,
( ~ sQ80_spl
| ~ sQ88_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f3286,f804,f405,f380]) ).
fof(f3378,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f129,f1050]) ).
fof(f3383,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3378,f56]) ).
fof(f3384,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3383]) ).
fof(f3398,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2939,f76]) ).
fof(f3399,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ46_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2939,f74]) ).
fof(f3400,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2939,f72]) ).
fof(f3403,plain,
( ~ sQ35_spl
| ~ sQ42_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f249,f1200]) ).
fof(f3416,plain,
( ~ sQ23_spl
| ~ sQ73_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f353,f538]) ).
fof(f3421,plain,
( ~ sQ23_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3416,f53]) ).
fof(f3422,plain,
( ~ sQ23_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f3421]) ).
fof(f3432,plain,
( ~ sQ99_spl
| ~ sQ80_spl
| product2(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f381,f1444]) ).
fof(f3437,plain,
( ~ sQ99_spl
| ~ sQ80_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f3432,f655,f380,f440]) ).
fof(f3438,plain,
( sQ164_spl
| ~ sQ5_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f2889]) ).
fof(f3439,plain,
( sQ164_spl
| ~ sQ5_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3438]) ).
fof(f3440,plain,
( ~ sQ207_spl
| ~ sQ65_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2793,f61]) ).
fof(f3441,plain,
( ~ sQ207_spl
| ~ sQ65_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f3440]) ).
fof(f3445,plain,
( ~ sQ88_spl
| ~ sQ80_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1604,f406]) ).
fof(f3458,plain,
( ~ sQ42_spl
| ~ sQ117_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f512,f1147]) ).
fof(f3463,plain,
( ~ sQ42_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3458,f44]) ).
fof(f3464,plain,
( ~ sQ42_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3463]) ).
fof(f3474,plain,
( ~ sQ88_spl
| ~ sQ77_spl
| product2(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f371,f1546]) ).
fof(f3484,plain,
( ~ sQ107_spl
| ~ sQ114_spl
| product2(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1704,f480]) ).
fof(f3485,plain,
( ~ sQ117_spl
| ~ sQ114_spl
| product2(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1704,f512]) ).
fof(f3486,plain,
( ~ sQ107_spl
| ~ sQ114_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f3484,f652,f501,f479]) ).
fof(f3487,plain,
( ~ sQ117_spl
| ~ sQ114_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f3485,f825,f501,f511]) ).
fof(f3488,plain,
( ~ sQ77_spl
| ~ sQ89_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1692,f570,f408,f370]) ).
fof(f3491,plain,
( ~ sQ101_spl
| ~ sQ117_spl
| product2(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f1682,f461]) ).
fof(f3492,plain,
( ~ sQ101_spl
| ~ sQ117_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f3491,f599,f511,f460]) ).
fof(f3502,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f195,f1197]) ).
fof(f3503,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f195,f68]) ).
fof(f3504,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f195,f66]) ).
fof(f3505,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f195,f64]) ).
fof(f3506,plain,
! [X0] :
( ~ sQ25_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f195,f79]) ).
fof(f3507,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3502,f60]) ).
fof(f3508,plain,
( ~ sQ35_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3507]) ).
fof(f3512,plain,
( ~ sQ71_spl
| ~ sQ68_spl
| ~ sQ242_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2417,f3183]) ).
fof(f3513,plain,
( ~ sQ71_spl
| ~ sQ68_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3512,f55]) ).
fof(f3514,plain,
( ~ sQ71_spl
| ~ sQ68_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f3513]) ).
fof(f3518,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| ~ sQ214_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2295,f1028]) ).
fof(f3519,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| ~ sQ214_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3518,f42]) ).
fof(f3520,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| ~ sQ214_spl ),
inference(contradiction_clause,[status(thm)],[f3519]) ).
fof(f3562,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| product2(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1149,f198]) ).
fof(f3567,plain,
( ~ sQ35_spl
| ~ sQ42_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f249,f1200]) ).
fof(f3593,plain,
( ~ sQ102_spl
| ~ sQ111_spl
| product2(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f1719,f464]) ).
fof(f3594,plain,
( ~ sQ102_spl
| ~ sQ111_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f3593,f615,f492,f463]) ).
fof(f3597,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1147,f164]) ).
fof(f3599,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3597,f61]) ).
fof(f3600,plain,
( ~ sQ17_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f3599]) ).
fof(f3633,plain,
( ~ sQ26_spl
| ~ sQ49_spl
| product2(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f271,f1258]) ).
fof(f3650,plain,
( ~ sQ98_spl
| ~ sQ82_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1592,f438]) ).
fof(f3653,plain,
( ~ sQ82_spl
| ~ sQ89_spl
| product2(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1542,f387]) ).
fof(f3663,plain,
( ~ sQ13_spl
| ~ sQ22_spl
| product2(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f180,f1040]) ).
fof(f3668,plain,
( ~ sQ13_spl
| ~ sQ22_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f3663,f938,f179,f150]) ).
fof(f3669,plain,
( ~ sQ26_spl
| ~ sQ49_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f3633,f967,f270,f197]) ).
fof(f3670,plain,
( ~ sQ82_spl
| ~ sQ89_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f3653,f655,f408,f386]) ).
fof(f3671,plain,
( ~ sQ98_spl
| ~ sQ82_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f3650,f945,f386,f437]) ).
fof(f3680,plain,
( ~ sQ138_spl
| ~ sQ42_spl
| ~ sQ46_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2939,f1865]) ).
fof(f3681,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2939,f76]) ).
fof(f3682,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ46_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2939,f74]) ).
fof(f3683,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2939,f72]) ).
fof(f3684,plain,
( ~ sQ138_spl
| ~ sQ42_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3680,f45]) ).
fof(f3685,plain,
( ~ sQ138_spl
| ~ sQ42_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f3684]) ).
fof(f3686,plain,
( ~ sQ15_spl
| ~ sQ22_spl
| product2(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f548,f158]) ).
fof(f3697,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| product2(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1018,f129]) ).
fof(f3698,plain,
( ~ sQ13_spl
| ~ sQ6_spl
| product2(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f1094,f151]) ).
fof(f3699,plain,
( ~ sQ190_spl
| ~ sQ13_spl
| ~ sQ6_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f3698,f2150]) ).
fof(f3700,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ6_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3698,f76]) ).
fof(f3701,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ6_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f3698,f74]) ).
fof(f3702,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ6_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3698,f72]) ).
fof(f3703,plain,
( ~ sQ190_spl
| ~ sQ13_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3699,f58]) ).
fof(f3704,plain,
( ~ sQ190_spl
| ~ sQ13_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3703]) ).
fof(f3711,plain,
( ~ sQ53_spl
| ~ sQ68_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f337,f1412]) ).
fof(f3712,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f337,f68]) ).
fof(f3713,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f337,f66]) ).
fof(f3714,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f337,f64]) ).
fof(f3715,plain,
! [X0] :
( ~ sQ68_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f337,f79]) ).
fof(f3716,plain,
( ~ sQ53_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3711,f49]) ).
fof(f3717,plain,
( ~ sQ53_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f3716]) ).
fof(f3740,plain,
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ199_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f814,f3700]) ).
fof(f3741,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f814,f76]) ).
fof(f3742,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f814,f74]) ).
fof(f3743,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f814,f72]) ).
fof(f3744,plain,
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3740,f42]) ).
fof(f3745,plain,
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f3744]) ).
fof(f3751,plain,
( ~ sQ118_spl
| ~ sQ111_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f493,f1677]) ).
fof(f3756,plain,
( ~ sQ109_spl
| ~ sQ118_spl
| product2(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f515,f1742]) ).
fof(f3764,plain,
( ~ sQ89_spl
| ~ sQ75_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1639,f409]) ).
fof(f3773,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f435,f546]) ).
fof(f3774,plain,
( ~ sQ89_spl
| ~ sQ97_spl
| product2(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f435,f1542]) ).
fof(f3775,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f435,f68]) ).
fof(f3776,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f435,f66]) ).
fof(f3777,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f435,f64]) ).
fof(f3778,plain,
! [X0] :
( ~ sQ97_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f435,f79]) ).
fof(f3779,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3773,f49]) ).
fof(f3780,plain,
( ~ sQ22_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3779]) ).
fof(f3781,plain,
( ~ sQ35_spl
| ~ sQ49_spl
| product2(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1102,f227]) ).
fof(f3786,plain,
( ~ sQ26_spl
| ~ sQ49_spl
| product2(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f271,f1258]) ).
fof(f3797,plain,
( ~ sQ53_spl
| ~ sQ59_spl
| product2(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1370,f289]) ).
fof(f3798,plain,
( ~ sQ53_spl
| ~ sQ59_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f3797,f573,f307,f288]) ).
fof(f3819,plain,
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ193_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f795,f3702]) ).
fof(f3820,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f795,f76]) ).
fof(f3821,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f795,f74]) ).
fof(f3822,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f795,f72]) ).
fof(f3823,plain,
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3819,f57]) ).
fof(f3824,plain,
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f3823]) ).
fof(f3825,plain,
( ~ sQ118_spl
| ~ sQ106_spl
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1758,f515]) ).
fof(f3826,plain,
( ~ sQ118_spl
| ~ sQ106_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f3825,f873,f476,f514]) ).
fof(f3827,plain,
( ~ sQ111_spl
| ~ sQ119_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1839,f737,f517,f492]) ).
fof(f3828,plain,
( ~ sQ89_spl
| ~ sQ78_spl
| product2(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1615,f409]) ).
fof(f3829,plain,
( ~ sQ89_spl
| ~ sQ78_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f3828,f756,f373,f408]) ).
fof(f3834,plain,
( ~ sQ69_spl
| ~ sQ71_spl
| product2(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f347,f1302]) ).
fof(f3846,plain,
( ~ sQ111_spl
| ~ sQ118_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1677,f493]) ).
fof(f3854,plain,
( ~ sQ89_spl
| ~ sQ82_spl
| product2(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f387,f1542]) ).
fof(f3859,plain,
( ~ sQ82_spl
| ~ sQ98_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f438,f1592]) ).
fof(f3868,plain,
( ~ sQ111_spl
| ~ sQ102_spl
| product2(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f464,f1719]) ).
fof(f3876,plain,
( ~ sQ109_spl
| ~ sQ118_spl
| product2(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f515,f1742]) ).
fof(f3881,plain,
( ~ sQ69_spl
| ~ sQ53_spl
| product2(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1415,f340]) ).
fof(f3882,plain,
( ~ sQ89_spl
| ~ sQ75_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1639,f409]) ).
fof(f3887,plain,
( ~ sQ102_spl
| ~ sQ109_spl
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f486,f1787]) ).
fof(f3892,plain,
( ~ sQ71_spl
| ~ sQ55_spl
| product2(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f296,f1291]) ).
fof(f3897,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| product2(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f289,f1404]) ).
fof(f3908,plain,
( ~ sQ98_spl
| ~ sQ75_spl
| product2(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f365,f1448]) ).
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
| ~ 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
| ~ sQ61_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
| sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| ~ sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| sQ102_spl
| ~ sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| ~ sQ107_spl
| ~ sQ108_spl
| sQ109_spl
| ~ sQ110_spl
| sQ111_spl
| ~ sQ112_spl
| ~ sQ113_spl
| ~ sQ114_spl
| ~ sQ115_spl
| ~ sQ116_spl
| ~ sQ117_spl
| sQ118_spl
| ~ sQ119_spl
| sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl
| ~ sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| ~ sQ128_spl
| sQ129_spl
| ~ sQ130_spl
| sQ131_spl
| ~ sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| ~ sQ136_spl
| ~ sQ137_spl
| sQ138_spl
| ~ sQ139_spl
| sQ140_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ144_spl
| ~ sQ145_spl
| ~ sQ146_spl
| sQ147_spl
| ~ sQ148_spl
| ~ sQ149_spl
| ~ sQ150_spl
| sQ151_spl
| ~ sQ152_spl
| ~ sQ153_spl
| ~ sQ154_spl
| ~ sQ155_spl
| ~ sQ156_spl
| ~ sQ157_spl
| sQ158_spl
| ~ sQ159_spl
| sQ160_spl
| ~ sQ161_spl
| ~ sQ162_spl
| ~ sQ163_spl
| ~ sQ164_spl
| ~ sQ165_spl
| ~ sQ166_spl
| sQ167_spl
| ~ sQ168_spl
| ~ sQ169_spl
| ~ sQ170_spl
| ~ sQ171_spl
| ~ sQ172_spl
| ~ sQ173_spl
| sQ174_spl
| ~ sQ175_spl
| ~ sQ176_spl
| ~ sQ177_spl
| sQ178_spl
| ~ sQ179_spl
| sQ180_spl
| ~ sQ181_spl
| ~ sQ182_spl
| ~ sQ183_spl
| ~ sQ184_spl
| ~ sQ185_spl
| ~ sQ186_spl
| sQ187_spl
| ~ sQ188_spl
| ~ sQ189_spl
| ~ sQ190_spl
| ~ sQ191_spl
| ~ sQ192_spl
| ~ sQ193_spl
| sQ194_spl
| ~ sQ195_spl
| sQ196_spl
| ~ sQ197_spl
| ~ sQ198_spl
| ~ sQ199_spl
| sQ200_spl
| ~ sQ201_spl
| ~ sQ203_spl
| ~ sQ204_spl
| ~ sQ205_spl
| ~ sQ206_spl
| sQ207_spl
| ~ sQ208_spl
| ~ sQ210_spl
| ~ sQ211_spl
| ~ sQ212_spl
| ~ sQ213_spl
| sQ214_spl
| ~ sQ215_spl
| sQ216_spl
| ~ sQ217_spl
| ~ sQ218_spl
| ~ sQ219_spl
| ~ sQ220_spl
| ~ sQ221_spl
| ~ sQ222_spl
| sQ223_spl
| ~ sQ224_spl
| ~ sQ225_spl
| ~ sQ226_spl
| sQ227_spl
| ~ sQ228_spl
| ~ sQ229_spl
| ~ sQ230_spl
| ~ sQ231_spl
| ~ sQ233_spl
| sQ234_spl
| ~ sQ235_spl
| sQ236_spl
| ~ sQ237_spl
| ~ sQ238_spl
| ~ sQ239_spl
| ~ sQ240_spl
| ~ sQ241_spl
| ~ sQ242_spl
| sQ243_spl
| sQ245_spl
| ~ sQ246_spl
| ~ sQ247_spl
| ~ sQ248_spl
| ~ sQ249_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP123-6.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 19:58:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 4.76/1.03 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 4.76/1.03 % SZS output start Saturation for theBenchmark
% See solution above
% 4.76/1.06 % Elapsed time: 0.687941 seconds
% 4.76/1.06 % CPU time: 5.062101 seconds
% 4.76/1.06 % Total memory used: 62.747 MB
% 4.76/1.06 % Net memory used: 58.582 MB
%------------------------------------------------------------------------------