%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP124-6.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:35:47 PM UTC 2026
% Result : Satisfiable 2.89s 1.02s
% Output : Saturation 3.49s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X] : product2(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [X,Y,Z1,Z2] :
( product2(Z2,Y,X)
| ~ product1(Z1,X,Z2)
| ~ product1(X,Y,Z1) ),
file('/export/starexec/sandbox/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,Y,X)
| ! [Z1] :
( ~ product1(Z1,X,Z2)
| ~ product1(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( product2(X3,X1,X0)
| ~ product1(X2,X0,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f69,f66]) ).
fof(f81,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f69,f64]) ).
fof(f82,plain,
! [X0,X1] :
( product2(X1,X0,X0)
| ~ product1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f69,f79]) ).
fof(f83,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f68,f69]) ).
fof(f84,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product2(X0,X0,X1) ),
inference(resolution,[status(thm)],[f72,f77]) ).
fof(f85,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f74,f77]) ).
fof(f86,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X1,X1) ),
inference(resolution,[status(thm)],[f76,f77]) ).
fof(f87,plain,
! [X0] :
( product1(e_5,X0,e_5)
| product1(e_5,X0,e_4)
| product1(e_5,X0,e_3)
| product1(e_5,X0,e_2)
| product1(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f41]) ).
fof(f88,plain,
! [X0] :
( product1(e_4,X0,e_5)
| product1(e_4,X0,e_4)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f40]) ).
fof(f89,plain,
! [X0] :
( product1(e_3,X0,e_5)
| product1(e_3,X0,e_4)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f39]) ).
fof(f90,plain,
! [X0] :
( product1(e_2,X0,e_5)
| product1(e_2,X0,e_4)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f38]) ).
fof(f91,plain,
! [X0] :
( product1(e_1,X0,e_5)
| product1(e_1,X0,e_4)
| product1(e_1,X0,e_3)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f37]) ).
fof(f92,plain,
! [X0] :
( product2(e_5,X0,e_5)
| product2(e_5,X0,e_4)
| product2(e_5,X0,e_3)
| product2(e_5,X0,e_2)
| product2(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f70,f41]) ).
fof(f93,plain,
! [X0] :
( product2(e_4,X0,e_5)
| product2(e_4,X0,e_4)
| product2(e_4,X0,e_3)
| product2(e_4,X0,e_2)
| product2(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f70,f40]) ).
fof(f94,plain,
! [X0] :
( product2(e_3,X0,e_5)
| product2(e_3,X0,e_4)
| product2(e_3,X0,e_3)
| product2(e_3,X0,e_2)
| product2(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f70,f39]) ).
fof(f95,plain,
! [X0] :
( product2(e_2,X0,e_5)
| product2(e_2,X0,e_4)
| product2(e_2,X0,e_3)
| product2(e_2,X0,e_2)
| product2(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f70,f38]) ).
fof(f96,plain,
! [X0] :
( product2(e_1,X0,e_5)
| product2(e_1,X0,e_4)
| product2(e_1,X0,e_3)
| product2(e_1,X0,e_2)
| product2(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f70,f37]) ).
fof(f97,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)],[f87,f41]) ).
fof(f98,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)],[f87,f40]) ).
fof(f99,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)],[f87,f39]) ).
fof(f100,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)],[f87,f38]) ).
fof(f101,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)],[f87,f37]) ).
fof(f102,definition,
( sQ0_spl
<=> product1(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ0_spl
| product1(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( sQ0_spl
| ~ product1(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ1_spl
<=> product1(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ1_spl
| product1(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( sQ1_spl
| ~ product1(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ2_spl
<=> product1(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ2_spl
| product1(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f110,plain,
( sQ2_spl
| ~ product1(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ3_spl
<=> product1(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ3_spl
| product1(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f113,plain,
( sQ3_spl
| ~ product1(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ4_spl
<=> product1(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f97,f102,f105,f108,f111,f114]) ).
fof(f118,definition,
( sQ5_spl
<=> product1(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ5_spl
| product1(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ5_spl
| ~ product1(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ6_spl
<=> product1(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ6_spl
| product1(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ6_spl
| ~ product1(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ7_spl
<=> product1(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ7_spl
| product1(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ7_spl
| ~ product1(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ8_spl
<=> product1(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ8_spl
| product1(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ8_spl
| ~ product1(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ9_spl
<=> product1(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ9_spl
| product1(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ9_spl
| ~ product1(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f98,f118,f121,f124,f127,f130]) ).
fof(f134,definition,
( sQ10_spl
<=> product1(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ10_spl
| product1(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( sQ10_spl
| ~ product1(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ11_spl
<=> product1(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ11_spl
| product1(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ11_spl
| ~ product1(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ12_spl
<=> product1(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ12_spl
| product1(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ12_spl
| ~ product1(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ13_spl
<=> product1(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ13_spl
| product1(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( sQ13_spl
| ~ product1(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ14_spl
<=> product1(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ14_spl
| product1(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ14_spl
| ~ product1(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f99,f134,f137,f140,f143,f146]) ).
fof(f150,definition,
( sQ15_spl
<=> product1(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ15_spl
| product1(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( sQ15_spl
| ~ product1(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ16_spl
<=> product1(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ16_spl
| product1(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ16_spl
| ~ product1(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ17_spl
<=> product1(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ17_spl
| product1(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ17_spl
| ~ product1(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ18_spl
<=> product1(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ18_spl
| product1(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ18_spl
| ~ product1(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ19_spl
<=> product1(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ19_spl
| product1(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( sQ19_spl
| ~ product1(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f100,f150,f153,f156,f159,f162]) ).
fof(f166,definition,
( sQ20_spl
<=> product1(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ20_spl
| product1(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ20_spl
| ~ product1(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ21_spl
<=> product1(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ21_spl
| product1(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ21_spl
| ~ product1(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ22_spl
<=> product1(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ22_spl
| product1(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ22_spl
| ~ product1(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ23_spl
<=> product1(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ23_spl
| product1(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ23_spl
| ~ product1(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
( sQ24_spl
<=> product1(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ24_spl
| product1(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( sQ24_spl
| ~ product1(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f101,f166,f169,f172,f175,f178]) ).
fof(f182,plain,
( 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)],[f88,f41]) ).
fof(f183,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)],[f88,f40]) ).
fof(f184,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)],[f88,f39]) ).
fof(f185,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)],[f88,f38]) ).
fof(f186,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)],[f88,f37]) ).
fof(f187,definition,
( sQ25_spl
<=> product1(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ25_spl
| product1(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f189,plain,
( sQ25_spl
| ~ product1(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,definition,
( sQ26_spl
<=> product1(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ26_spl
| product1(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f192,plain,
( sQ26_spl
| ~ product1(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ27_spl
<=> product1(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ27_spl
| product1(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( sQ27_spl
| ~ product1(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ28_spl
<=> product1(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ28_spl
| product1(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f198,plain,
( sQ28_spl
| ~ product1(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ29_spl
<=> product1(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ29_spl
| product1(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ29_spl
| ~ product1(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f182,f187,f190,f193,f196,f199]) ).
fof(f203,definition,
( sQ30_spl
<=> product1(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ30_spl
| product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f205,plain,
( sQ30_spl
| ~ product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ31_spl
<=> product1(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ31_spl
| product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ31_spl
| ~ product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ32_spl
<=> product1(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ32_spl
| product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ32_spl
| ~ product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ33_spl
<=> product1(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f215,definition,
( sQ34_spl
<=> product1(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ34_spl
| product1(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( sQ34_spl
| ~ product1(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f183,f203,f206,f209,f212,f215]) ).
fof(f219,definition,
( sQ35_spl
<=> product1(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ35_spl
| product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ35_spl
| ~ product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ36_spl
<=> product1(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ36_spl
| product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ36_spl
| ~ product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ37_spl
<=> product1(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ37_spl
| product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ37_spl
| ~ product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ38_spl
<=> product1(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ38_spl
| product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ38_spl
| ~ product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ39_spl
<=> product1(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ39_spl
| product1(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( sQ39_spl
| ~ product1(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f184,f219,f222,f225,f228,f231]) ).
fof(f235,definition,
( sQ40_spl
<=> product1(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ40_spl
| product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ40_spl
| ~ product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ41_spl
<=> product1(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ41_spl
| product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ41_spl
| ~ product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ42_spl
<=> product1(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ42_spl
| product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ42_spl
| ~ product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ43_spl
<=> product1(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ43_spl
| product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ43_spl
| ~ product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ44_spl
<=> product1(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ44_spl
| product1(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( sQ44_spl
| ~ product1(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f185,f235,f238,f241,f244,f247]) ).
fof(f251,definition,
( sQ45_spl
<=> product1(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ45_spl
| product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ45_spl
| ~ product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ46_spl
<=> product1(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ46_spl
| product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ46_spl
| ~ product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ47_spl
<=> product1(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ47_spl
| product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ47_spl
| ~ product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ48_spl
<=> product1(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ48_spl
| product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ48_spl
| ~ product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ49_spl
<=> product1(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ49_spl
| product1(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ49_spl
| ~ product1(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f186,f251,f254,f257,f260,f263]) ).
fof(f267,plain,
( 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)],[f89,f41]) ).
fof(f268,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)],[f89,f40]) ).
fof(f269,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)],[f89,f39]) ).
fof(f270,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)],[f89,f38]) ).
fof(f271,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)],[f89,f37]) ).
fof(f272,definition,
( sQ50_spl
<=> product1(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ50_spl
| product1(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ50_spl
| ~ product1(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ51_spl
<=> product1(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ51_spl
| product1(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ51_spl
| ~ product1(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ52_spl
<=> product1(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ52_spl
| product1(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f280,plain,
( sQ52_spl
| ~ product1(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ53_spl
<=> product1(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ53_spl
| product1(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( sQ53_spl
| ~ product1(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ54_spl
<=> product1(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ54_spl
| product1(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ54_spl
| ~ product1(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f267,f272,f275,f278,f281,f284]) ).
fof(f288,definition,
( sQ55_spl
<=> product1(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ55_spl
| product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( sQ55_spl
| ~ product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ56_spl
<=> product1(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ56_spl
| product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ56_spl
| ~ product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ57_spl
<=> product1(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ57_spl
| product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ57_spl
| ~ product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ58_spl
<=> product1(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ58_spl
| product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ58_spl
| ~ product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,definition,
( sQ59_spl
<=> product1(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ59_spl
| product1(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ59_spl
| ~ product1(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f268,f288,f291,f294,f297,f300]) ).
fof(f304,definition,
( sQ60_spl
<=> product1(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ60_spl
| product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f306,plain,
( sQ60_spl
| ~ product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ61_spl
<=> product1(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ61_spl
| product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f309,plain,
( sQ61_spl
| ~ product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ62_spl
<=> product1(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f313,definition,
( sQ63_spl
<=> product1(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ63_spl
| product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( sQ63_spl
| ~ product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,definition,
( sQ64_spl
<=> product1(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ64_spl
| product1(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f318,plain,
( sQ64_spl
| ~ product1(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f269,f304,f307,f310,f313,f316]) ).
fof(f320,definition,
( sQ65_spl
<=> product1(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ65_spl
| product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f322,plain,
( sQ65_spl
| ~ product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ66_spl
<=> product1(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ66_spl
| product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( sQ66_spl
| ~ product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,definition,
( sQ67_spl
<=> product1(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ67_spl
| product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ67_spl
| ~ product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ68_spl
<=> product1(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ68_spl
| product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f331,plain,
( sQ68_spl
| ~ product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,definition,
( sQ69_spl
<=> product1(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ69_spl
| product1(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f334,plain,
( sQ69_spl
| ~ product1(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f270,f320,f323,f326,f329,f332]) ).
fof(f336,definition,
( sQ70_spl
<=> product1(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ70_spl
| product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f338,plain,
( sQ70_spl
| ~ product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ71_spl
<=> product1(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ71_spl
| product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f341,plain,
( sQ71_spl
| ~ product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,definition,
( sQ72_spl
<=> product1(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ72_spl
| product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f344,plain,
( sQ72_spl
| ~ product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ73_spl
<=> product1(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ73_spl
| product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ73_spl
| ~ product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
( sQ74_spl
<=> product1(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ74_spl
| product1(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ74_spl
| ~ product1(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f271,f336,f339,f342,f345,f348]) ).
fof(f352,plain,
( 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)],[f90,f41]) ).
fof(f353,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)],[f90,f40]) ).
fof(f354,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)],[f90,f39]) ).
fof(f355,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)],[f90,f38]) ).
fof(f356,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)],[f90,f37]) ).
fof(f357,definition,
( sQ75_spl
<=> product1(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ75_spl
| product1(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f359,plain,
( sQ75_spl
| ~ product1(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ76_spl
<=> product1(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ76_spl
| product1(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ76_spl
| ~ product1(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ77_spl
<=> product1(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ77_spl
| product1(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( sQ77_spl
| ~ product1(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ78_spl
<=> product1(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ78_spl
| product1(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( sQ78_spl
| ~ product1(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ79_spl
<=> product1(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ79_spl
| product1(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( sQ79_spl
| ~ product1(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f352,f357,f360,f363,f366,f369]) ).
fof(f373,definition,
( sQ80_spl
<=> product1(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ80_spl
| product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f375,plain,
( sQ80_spl
| ~ product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ81_spl
<=> product1(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ81_spl
| product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ81_spl
| ~ product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ82_spl
<=> product1(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ82_spl
| product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( sQ82_spl
| ~ product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ83_spl
<=> product1(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ83_spl
| product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ83_spl
| ~ product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ84_spl
<=> product1(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ84_spl
| product1(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( sQ84_spl
| ~ product1(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f353,f373,f376,f379,f382,f385]) ).
fof(f389,definition,
( sQ85_spl
<=> product1(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ85_spl
| product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ85_spl
| ~ product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ86_spl
<=> product1(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ86_spl
| product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ86_spl
| ~ product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ87_spl
<=> product1(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ87_spl
| product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f397,plain,
( sQ87_spl
| ~ product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ88_spl
<=> product1(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ88_spl
| product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ88_spl
| ~ product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ89_spl
<=> product1(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ89_spl
| product1(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f403,plain,
( sQ89_spl
| ~ product1(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f354,f389,f392,f395,f398,f401]) ).
fof(f405,definition,
( sQ90_spl
<=> product1(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ90_spl
| product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ90_spl
| ~ product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ91_spl
<=> product1(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f411,definition,
( sQ92_spl
<=> product1(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ92_spl
| product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ92_spl
| ~ product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ93_spl
<=> product1(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ93_spl
| product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ93_spl
| ~ product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ94_spl
<=> product1(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ94_spl
| product1(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f419,plain,
( sQ94_spl
| ~ product1(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f355,f405,f408,f411,f414,f417]) ).
fof(f421,definition,
( sQ95_spl
<=> product1(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ95_spl
| product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ95_spl
| ~ product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ96_spl
<=> product1(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ96_spl
| product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ96_spl
| ~ product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ97_spl
<=> product1(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ97_spl
| product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ97_spl
| ~ product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ98_spl
<=> product1(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ98_spl
| product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ98_spl
| ~ product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ99_spl
<=> product1(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ99_spl
| product1(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ99_spl
| ~ product1(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f356,f421,f424,f427,f430,f433]) ).
fof(f437,plain,
( 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)],[f91,f41]) ).
fof(f438,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)],[f91,f40]) ).
fof(f439,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)],[f91,f39]) ).
fof(f440,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)],[f91,f38]) ).
fof(f441,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)],[f91,f37]) ).
fof(f442,definition,
( sQ100_spl
<=> product1(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ100_spl
| product1(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f444,plain,
( sQ100_spl
| ~ product1(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ101_spl
<=> product1(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ101_spl
| product1(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f447,plain,
( sQ101_spl
| ~ product1(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ102_spl
<=> product1(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ102_spl
| product1(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f450,plain,
( sQ102_spl
| ~ product1(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ103_spl
<=> product1(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ103_spl
| product1(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( sQ103_spl
| ~ product1(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ104_spl
<=> product1(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ104_spl
| product1(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f456,plain,
( sQ104_spl
| ~ product1(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f437,f442,f445,f448,f451,f454]) ).
fof(f458,definition,
( sQ105_spl
<=> product1(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ105_spl
| product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ105_spl
| ~ product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ106_spl
<=> product1(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ106_spl
| product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ106_spl
| ~ product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ107_spl
<=> product1(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ107_spl
| product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( sQ107_spl
| ~ product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ108_spl
<=> product1(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ108_spl
| product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ108_spl
| ~ product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ109_spl
<=> product1(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ109_spl
| product1(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f472,plain,
( sQ109_spl
| ~ product1(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f438,f458,f461,f464,f467,f470]) ).
fof(f474,definition,
( sQ110_spl
<=> product1(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ110_spl
| product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f476,plain,
( sQ110_spl
| ~ product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ111_spl
<=> product1(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ111_spl
| product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( sQ111_spl
| ~ product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ112_spl
<=> product1(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ112_spl
| product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( sQ112_spl
| ~ product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ113_spl
<=> product1(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ113_spl
| product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ113_spl
| ~ product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ114_spl
<=> product1(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ114_spl
| product1(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( sQ114_spl
| ~ product1(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f439,f474,f477,f480,f483,f486]) ).
fof(f490,definition,
( sQ115_spl
<=> product1(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ115_spl
| product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ115_spl
| ~ product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ116_spl
<=> product1(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ116_spl
| product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( sQ116_spl
| ~ product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
( sQ117_spl
<=> product1(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ117_spl
| product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ117_spl
| ~ product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ118_spl
<=> product1(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ118_spl
| product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ118_spl
| ~ product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ119_spl
<=> product1(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ119_spl
| product1(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ119_spl
| ~ product1(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f440,f490,f493,f496,f499,f502]) ).
fof(f506,definition,
( sQ120_spl
<=> product1(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f509,definition,
( sQ121_spl
<=> product1(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ121_spl
| product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ121_spl
| ~ product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ122_spl
<=> product1(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ122_spl
| product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ122_spl
| ~ product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ123_spl
<=> product1(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ123_spl
| product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ123_spl
| ~ product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ124_spl
<=> product1(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ124_spl
| product1(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ124_spl
| ~ product1(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f441,f506,f509,f512,f515,f518]) ).
fof(f522,plain,
( 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)],[f92,f41]) ).
fof(f523,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)],[f92,f40]) ).
fof(f524,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)],[f92,f39]) ).
fof(f525,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)],[f92,f38]) ).
fof(f526,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)],[f92,f37]) ).
fof(f527,definition,
( sQ125_spl
<=> product2(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( ~ sQ125_spl
| product2(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f529,plain,
( sQ125_spl
| ~ product2(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,definition,
( sQ126_spl
<=> product2(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ126_spl
| product2(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( sQ126_spl
| ~ product2(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ127_spl
<=> product2(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ127_spl
| product2(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f535,plain,
( sQ127_spl
| ~ product2(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,definition,
( sQ128_spl
<=> product2(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ128_spl
| product2(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( sQ128_spl
| ~ product2(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ129_spl
<=> product2(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f522,f527,f530,f533,f536,f539]) ).
fof(f543,definition,
( sQ130_spl
<=> product2(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ130_spl
| product2(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f545,plain,
( sQ130_spl
| ~ product2(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,definition,
( sQ131_spl
<=> product2(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ131_spl
| product2(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f548,plain,
( sQ131_spl
| ~ product2(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,definition,
( sQ132_spl
<=> product2(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ132_spl
| product2(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f551,plain,
( sQ132_spl
| ~ product2(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ133_spl
<=> product2(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ133_spl
| product2(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f554,plain,
( sQ133_spl
| ~ product2(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ134_spl
<=> product2(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ134_spl
| product2(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( sQ134_spl
| ~ product2(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( sQ134_spl
| sQ133_spl
| sQ132_spl
| sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f523,f543,f546,f549,f552,f555]) ).
fof(f559,definition,
( sQ135_spl
<=> product2(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( ~ sQ135_spl
| product2(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f561,plain,
( sQ135_spl
| ~ product2(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,definition,
( sQ136_spl
<=> product2(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ136_spl
| product2(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f564,plain,
( sQ136_spl
| ~ product2(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,definition,
( sQ137_spl
<=> product2(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( ~ sQ137_spl
| product2(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f567,plain,
( sQ137_spl
| ~ product2(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ138_spl
<=> product2(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ138_spl
| product2(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( sQ138_spl
| ~ product2(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,definition,
( sQ139_spl
<=> product2(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ139_spl
| product2(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( sQ139_spl
| ~ product2(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f524,f559,f562,f565,f568,f571]) ).
fof(f575,definition,
( sQ140_spl
<=> product2(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ140_spl
| product2(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f577,plain,
( sQ140_spl
| ~ product2(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ141_spl
<=> product2(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ141_spl
| product2(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f580,plain,
( sQ141_spl
| ~ product2(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
( sQ142_spl
<=> product2(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ142_spl
| product2(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( sQ142_spl
| ~ product2(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,definition,
( sQ143_spl
<=> product2(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ143_spl
| product2(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f586,plain,
( sQ143_spl
| ~ product2(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,definition,
( sQ144_spl
<=> product2(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ144_spl
| product2(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( sQ144_spl
| ~ product2(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( sQ144_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f525,f575,f578,f581,f584,f587]) ).
fof(f591,definition,
( sQ145_spl
<=> product2(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ145_spl
| product2(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( sQ145_spl
| ~ product2(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,definition,
( sQ146_spl
<=> product2(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ146_spl
| product2(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( sQ146_spl
| ~ product2(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ147_spl
<=> product2(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ147_spl
| product2(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f599,plain,
( sQ147_spl
| ~ product2(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,definition,
( sQ148_spl
<=> product2(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ148_spl
| product2(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f602,plain,
( sQ148_spl
| ~ product2(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ149_spl
<=> product2(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ149_spl
| product2(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f605,plain,
( sQ149_spl
| ~ product2(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( sQ149_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f526,f591,f594,f597,f600,f603]) ).
fof(f607,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)],[f93,f41]) ).
fof(f608,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)],[f93,f40]) ).
fof(f609,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)],[f93,f39]) ).
fof(f610,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)],[f93,f38]) ).
fof(f611,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)],[f93,f37]) ).
fof(f612,definition,
( sQ150_spl
<=> product2(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ150_spl
| product2(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f614,plain,
( sQ150_spl
| ~ product2(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,definition,
( sQ151_spl
<=> product2(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ151_spl
| product2(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( sQ151_spl
| ~ product2(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,definition,
( sQ152_spl
<=> product2(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ152_spl
| product2(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f620,plain,
( sQ152_spl
| ~ product2(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,definition,
( sQ153_spl
<=> product2(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ153_spl
| product2(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( sQ153_spl
| ~ product2(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ154_spl
<=> product2(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ154_spl
| product2(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( sQ154_spl
| ~ product2(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( sQ154_spl
| sQ153_spl
| sQ152_spl
| sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f607,f612,f615,f618,f621,f624]) ).
fof(f628,definition,
( sQ155_spl
<=> product2(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ155_spl
| product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f630,plain,
( sQ155_spl
| ~ product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,definition,
( sQ156_spl
<=> product2(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ156_spl
| product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f633,plain,
( sQ156_spl
| ~ product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,definition,
( sQ157_spl
<=> product2(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f635,plain,
( ~ sQ157_spl
| product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f636,plain,
( sQ157_spl
| ~ product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,definition,
( sQ158_spl
<=> product2(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f640,definition,
( sQ159_spl
<=> product2(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ159_spl
| product2(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f642,plain,
( sQ159_spl
| ~ product2(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,plain,
( sQ159_spl
| sQ158_spl
| sQ157_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f608,f628,f631,f634,f637,f640]) ).
fof(f644,definition,
( sQ160_spl
<=> product2(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ160_spl
| product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f646,plain,
( sQ160_spl
| ~ product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,definition,
( sQ161_spl
<=> product2(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ161_spl
| product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f649,plain,
( sQ161_spl
| ~ product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,definition,
( sQ162_spl
<=> product2(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ162_spl
| product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f652,plain,
( sQ162_spl
| ~ product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,definition,
( sQ163_spl
<=> product2(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ163_spl
| product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f655,plain,
( sQ163_spl
| ~ product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ164_spl
<=> product2(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ164_spl
| product2(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f658,plain,
( sQ164_spl
| ~ product2(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( sQ164_spl
| sQ163_spl
| sQ162_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f609,f644,f647,f650,f653,f656]) ).
fof(f660,definition,
( sQ165_spl
<=> product2(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ165_spl
| product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f662,plain,
( sQ165_spl
| ~ product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,definition,
( sQ166_spl
<=> product2(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ166_spl
| product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f665,plain,
( sQ166_spl
| ~ product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,definition,
( sQ167_spl
<=> product2(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( ~ sQ167_spl
| product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f668,plain,
( sQ167_spl
| ~ product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,definition,
( sQ168_spl
<=> product2(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ168_spl
| product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f671,plain,
( sQ168_spl
| ~ product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,definition,
( sQ169_spl
<=> product2(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f673,plain,
( ~ sQ169_spl
| product2(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f674,plain,
( sQ169_spl
| ~ product2(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,plain,
( sQ169_spl
| sQ168_spl
| sQ167_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f610,f660,f663,f666,f669,f672]) ).
fof(f676,definition,
( sQ170_spl
<=> product2(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ170_spl
| product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f678,plain,
( sQ170_spl
| ~ product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ171_spl
<=> product2(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ171_spl
| product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( sQ171_spl
| ~ product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,definition,
( sQ172_spl
<=> product2(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ172_spl
| product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( sQ172_spl
| ~ product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,definition,
( sQ173_spl
<=> product2(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ173_spl
| product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f687,plain,
( sQ173_spl
| ~ product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,definition,
( sQ174_spl
<=> product2(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( ~ sQ174_spl
| product2(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f690,plain,
( sQ174_spl
| ~ product2(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( sQ174_spl
| sQ173_spl
| sQ172_spl
| sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f611,f676,f679,f682,f685,f688]) ).
fof(f692,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)],[f94,f41]) ).
fof(f693,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)],[f94,f40]) ).
fof(f694,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)],[f94,f39]) ).
fof(f695,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)],[f94,f38]) ).
fof(f696,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)],[f94,f37]) ).
fof(f697,definition,
( sQ175_spl
<=> product2(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ175_spl
| product2(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f699,plain,
( sQ175_spl
| ~ product2(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ176_spl
<=> product2(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ176_spl
| product2(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f702,plain,
( sQ176_spl
| ~ product2(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ177_spl
<=> product2(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ177_spl
| product2(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f705,plain,
( sQ177_spl
| ~ product2(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ178_spl
<=> product2(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ178_spl
| product2(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f708,plain,
( sQ178_spl
| ~ product2(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,definition,
( sQ179_spl
<=> product2(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ179_spl
| product2(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f711,plain,
( sQ179_spl
| ~ product2(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,plain,
( sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f692,f697,f700,f703,f706,f709]) ).
fof(f713,definition,
( sQ180_spl
<=> product2(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f714,plain,
( ~ sQ180_spl
| product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f715,plain,
( sQ180_spl
| ~ product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,definition,
( sQ181_spl
<=> product2(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ181_spl
| product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f718,plain,
( sQ181_spl
| ~ product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,definition,
( sQ182_spl
<=> product2(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f720,plain,
( ~ sQ182_spl
| product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f721,plain,
( sQ182_spl
| ~ product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,definition,
( sQ183_spl
<=> product2(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( ~ sQ183_spl
| product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f724,plain,
( sQ183_spl
| ~ product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,definition,
( sQ184_spl
<=> product2(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ184_spl
| product2(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f727,plain,
( sQ184_spl
| ~ product2(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,plain,
( sQ184_spl
| sQ183_spl
| sQ182_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f693,f713,f716,f719,f722,f725]) ).
fof(f729,definition,
( sQ185_spl
<=> product2(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( ~ sQ185_spl
| product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f731,plain,
( sQ185_spl
| ~ product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,definition,
( sQ186_spl
<=> product2(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( ~ sQ186_spl
| product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f734,plain,
( sQ186_spl
| ~ product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,definition,
( sQ187_spl
<=> product2(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f738,definition,
( sQ188_spl
<=> product2(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( ~ sQ188_spl
| product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f740,plain,
( sQ188_spl
| ~ product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,definition,
( sQ189_spl
<=> product2(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ189_spl
| product2(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f743,plain,
( sQ189_spl
| ~ product2(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,plain,
( sQ189_spl
| sQ188_spl
| sQ187_spl
| sQ186_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f694,f729,f732,f735,f738,f741]) ).
fof(f745,definition,
( sQ190_spl
<=> product2(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( ~ sQ190_spl
| product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f747,plain,
( sQ190_spl
| ~ product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,definition,
( sQ191_spl
<=> product2(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( ~ sQ191_spl
| product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f750,plain,
( sQ191_spl
| ~ product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,definition,
( sQ192_spl
<=> product2(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ192_spl
| product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f753,plain,
( sQ192_spl
| ~ product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,definition,
( sQ193_spl
<=> product2(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ193_spl
| product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f756,plain,
( sQ193_spl
| ~ product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,definition,
( sQ194_spl
<=> product2(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ194_spl
| product2(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( sQ194_spl
| ~ product2(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,plain,
( sQ194_spl
| sQ193_spl
| sQ192_spl
| sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f695,f745,f748,f751,f754,f757]) ).
fof(f761,definition,
( sQ195_spl
<=> product2(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ195_spl
| product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f763,plain,
( sQ195_spl
| ~ product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,definition,
( sQ196_spl
<=> product2(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ196_spl
| product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f766,plain,
( sQ196_spl
| ~ product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,definition,
( sQ197_spl
<=> product2(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( ~ sQ197_spl
| product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f769,plain,
( sQ197_spl
| ~ product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,definition,
( sQ198_spl
<=> product2(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ198_spl
| product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f772,plain,
( sQ198_spl
| ~ product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,definition,
( sQ199_spl
<=> product2(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ199_spl
| product2(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f775,plain,
( sQ199_spl
| ~ product2(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( sQ199_spl
| sQ198_spl
| sQ197_spl
| sQ196_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f696,f761,f764,f767,f770,f773]) ).
fof(f777,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)],[f95,f41]) ).
fof(f778,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)],[f95,f40]) ).
fof(f779,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)],[f95,f39]) ).
fof(f780,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)],[f95,f38]) ).
fof(f781,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)],[f95,f37]) ).
fof(f782,definition,
( sQ200_spl
<=> product2(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ200_spl
| product2(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f784,plain,
( sQ200_spl
| ~ product2(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,definition,
( sQ201_spl
<=> product2(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ201_spl
| product2(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f787,plain,
( sQ201_spl
| ~ product2(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,definition,
( sQ202_spl
<=> product2(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ202_spl
| product2(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f790,plain,
( sQ202_spl
| ~ product2(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ203_spl
<=> product2(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ203_spl
| product2(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f793,plain,
( sQ203_spl
| ~ product2(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,definition,
( sQ204_spl
<=> product2(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ204_spl
| product2(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f796,plain,
( sQ204_spl
| ~ product2(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( sQ204_spl
| sQ203_spl
| sQ202_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f777,f782,f785,f788,f791,f794]) ).
fof(f798,definition,
( sQ205_spl
<=> product2(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f799,plain,
( ~ sQ205_spl
| product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f800,plain,
( sQ205_spl
| ~ product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,definition,
( sQ206_spl
<=> product2(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ206_spl
| product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f803,plain,
( sQ206_spl
| ~ product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,definition,
( sQ207_spl
<=> product2(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ207_spl
| product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f806,plain,
( sQ207_spl
| ~ product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,definition,
( sQ208_spl
<=> product2(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ208_spl
| product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f809,plain,
( sQ208_spl
| ~ product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,definition,
( sQ209_spl
<=> product2(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ209_spl
| product2(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( sQ209_spl
| ~ product2(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( sQ209_spl
| sQ208_spl
| sQ207_spl
| sQ206_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f778,f798,f801,f804,f807,f810]) ).
fof(f814,definition,
( sQ210_spl
<=> product2(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ210_spl
| product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( sQ210_spl
| ~ product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,definition,
( sQ211_spl
<=> product2(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( ~ sQ211_spl
| product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f819,plain,
( sQ211_spl
| ~ product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,definition,
( sQ212_spl
<=> product2(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ212_spl
| product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f822,plain,
( sQ212_spl
| ~ product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,definition,
( sQ213_spl
<=> product2(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ213_spl
| product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f825,plain,
( sQ213_spl
| ~ product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
( sQ214_spl
<=> product2(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ214_spl
| product2(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f828,plain,
( sQ214_spl
| ~ product2(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,plain,
( sQ214_spl
| sQ213_spl
| sQ212_spl
| sQ211_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f779,f814,f817,f820,f823,f826]) ).
fof(f830,definition,
( sQ215_spl
<=> product2(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ215_spl
| product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f832,plain,
( sQ215_spl
| ~ product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,definition,
( sQ216_spl
<=> product2(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f836,definition,
( sQ217_spl
<=> product2(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ217_spl
| product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f838,plain,
( sQ217_spl
| ~ product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ218_spl
<=> product2(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f840,plain,
( ~ sQ218_spl
| product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f841,plain,
( sQ218_spl
| ~ product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,definition,
( sQ219_spl
<=> product2(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ219_spl
| product2(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f844,plain,
( sQ219_spl
| ~ product2(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,plain,
( sQ219_spl
| sQ218_spl
| sQ217_spl
| sQ216_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f780,f830,f833,f836,f839,f842]) ).
fof(f846,definition,
( sQ220_spl
<=> product2(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ220_spl
| product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f848,plain,
( sQ220_spl
| ~ product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ221_spl
<=> product2(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ221_spl
| product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f851,plain,
( sQ221_spl
| ~ product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,definition,
( sQ222_spl
<=> product2(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( ~ sQ222_spl
| product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f854,plain,
( sQ222_spl
| ~ product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,definition,
( sQ223_spl
<=> product2(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ223_spl
| product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f857,plain,
( sQ223_spl
| ~ product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,definition,
( sQ224_spl
<=> product2(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ224_spl
| product2(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f860,plain,
( sQ224_spl
| ~ product2(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,plain,
( sQ224_spl
| sQ223_spl
| sQ222_spl
| sQ221_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f781,f846,f849,f852,f855,f858]) ).
fof(f862,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)],[f96,f41]) ).
fof(f863,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)],[f96,f40]) ).
fof(f864,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)],[f96,f39]) ).
fof(f865,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)],[f96,f38]) ).
fof(f866,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)],[f96,f37]) ).
fof(f867,definition,
( sQ225_spl
<=> product2(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( ~ sQ225_spl
| product2(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f869,plain,
( sQ225_spl
| ~ product2(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,definition,
( sQ226_spl
<=> product2(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ226_spl
| product2(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f872,plain,
( sQ226_spl
| ~ product2(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,definition,
( sQ227_spl
<=> product2(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( ~ sQ227_spl
| product2(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f875,plain,
( sQ227_spl
| ~ product2(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,definition,
( sQ228_spl
<=> product2(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ228_spl
| product2(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f878,plain,
( sQ228_spl
| ~ product2(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,definition,
( sQ229_spl
<=> product2(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( ~ sQ229_spl
| product2(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f881,plain,
( sQ229_spl
| ~ product2(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,plain,
( sQ229_spl
| sQ228_spl
| sQ227_spl
| sQ226_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f862,f867,f870,f873,f876,f879]) ).
fof(f883,definition,
( sQ230_spl
<=> product2(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ230_spl
| product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f885,plain,
( sQ230_spl
| ~ product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,definition,
( sQ231_spl
<=> product2(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f887,plain,
( ~ sQ231_spl
| product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f888,plain,
( sQ231_spl
| ~ product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,definition,
( sQ232_spl
<=> product2(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ232_spl
| product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f891,plain,
( sQ232_spl
| ~ product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,definition,
( sQ233_spl
<=> product2(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f893,plain,
( ~ sQ233_spl
| product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f894,plain,
( sQ233_spl
| ~ product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,definition,
( sQ234_spl
<=> product2(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( ~ sQ234_spl
| product2(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f897,plain,
( sQ234_spl
| ~ product2(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,plain,
( sQ234_spl
| sQ233_spl
| sQ232_spl
| sQ231_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f863,f883,f886,f889,f892,f895]) ).
fof(f899,definition,
( sQ235_spl
<=> product2(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f900,plain,
( ~ sQ235_spl
| product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f901,plain,
( sQ235_spl
| ~ product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,definition,
( sQ236_spl
<=> product2(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( ~ sQ236_spl
| product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f904,plain,
( sQ236_spl
| ~ product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,definition,
( sQ237_spl
<=> product2(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( ~ sQ237_spl
| product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f907,plain,
( sQ237_spl
| ~ product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,definition,
( sQ238_spl
<=> product2(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( ~ sQ238_spl
| product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f910,plain,
( sQ238_spl
| ~ product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,definition,
( sQ239_spl
<=> product2(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ239_spl
| product2(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f913,plain,
( sQ239_spl
| ~ product2(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( sQ239_spl
| sQ238_spl
| sQ237_spl
| sQ236_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f864,f899,f902,f905,f908,f911]) ).
fof(f915,definition,
( sQ240_spl
<=> product2(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ240_spl
| product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f917,plain,
( sQ240_spl
| ~ product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,definition,
( sQ241_spl
<=> product2(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f919,plain,
( ~ sQ241_spl
| product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f920,plain,
( sQ241_spl
| ~ product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f921,definition,
( sQ242_spl
<=> product2(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f922,plain,
( ~ sQ242_spl
| product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f923,plain,
( sQ242_spl
| ~ product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f924,definition,
( sQ243_spl
<=> product2(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( ~ sQ243_spl
| product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f926,plain,
( sQ243_spl
| ~ product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,definition,
( sQ244_spl
<=> product2(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( ~ sQ244_spl
| product2(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f929,plain,
( sQ244_spl
| ~ product2(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,plain,
( sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ241_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f865,f915,f918,f921,f924,f927]) ).
fof(f931,definition,
( sQ245_spl
<=> product2(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f934,definition,
( sQ246_spl
<=> product2(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ246_spl
| product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f936,plain,
( sQ246_spl
| ~ product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,definition,
( sQ247_spl
<=> product2(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( ~ sQ247_spl
| product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f939,plain,
( sQ247_spl
| ~ product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,definition,
( sQ248_spl
<=> product2(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( ~ sQ248_spl
| product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f942,plain,
( sQ248_spl
| ~ product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,definition,
( sQ249_spl
<=> product2(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( ~ sQ249_spl
| product2(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f945,plain,
( sQ249_spl
| ~ product2(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,plain,
( sQ249_spl
| sQ248_spl
| sQ247_spl
| sQ246_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f866,f931,f934,f937,f940,f943]) ).
fof(f948,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f80,f69]) ).
fof(f954,plain,
( ~ sQ24_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f179,f80]) ).
fof(f955,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f179,f68]) ).
fof(f956,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f179,f66]) ).
fof(f957,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f179,f64]) ).
fof(f958,plain,
! [X0] :
( ~ sQ24_spl
| product2(X0,e_1,e_5)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f179,f79]) ).
fof(f959,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f954,f58]) ).
fof(f960,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f959]) ).
fof(f961,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f176,f68]) ).
fof(f962,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,X0)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f176,f66]) ).
fof(f963,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f176,f64]) ).
fof(f964,plain,
! [X0] :
( ~ sQ23_spl
| product2(X0,e_1,e_5)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f176,f79]) ).
fof(f968,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f173,f963]) ).
fof(f969,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f173,f68]) ).
fof(f970,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,X0)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f173,f66]) ).
fof(f971,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f173,f64]) ).
fof(f972,plain,
! [X0] :
( ~ sQ22_spl
| product2(X0,e_1,e_5)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f173,f79]) ).
fof(f973,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f968,f56]) ).
fof(f974,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f973]) ).
fof(f975,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f170,f68]) ).
fof(f976,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,X0)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f170,f66]) ).
fof(f977,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f170,f64]) ).
fof(f978,plain,
! [X0] :
( ~ sQ21_spl
| product2(X0,e_1,e_5)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f170,f79]) ).
fof(f983,plain,
( ~ sQ20_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f167,f83]) ).
fof(f984,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f167,f68]) ).
fof(f985,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f167,f66]) ).
fof(f986,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f167,f64]) ).
fof(f987,plain,
! [X0] :
( ~ sQ20_spl
| product2(X0,e_1,e_5)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f167,f79]) ).
fof(f990,plain,
( ~ sQ19_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f163,f80]) ).
fof(f991,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f163,f68]) ).
fof(f992,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,X0)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f163,f66]) ).
fof(f993,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f163,f64]) ).
fof(f994,plain,
! [X0] :
( ~ sQ19_spl
| product2(X0,e_2,e_5)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f163,f79]) ).
fof(f995,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f990,f59]) ).
fof(f996,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f995]) ).
fof(f997,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f160,f68]) ).
fof(f998,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f160,f66]) ).
fof(f999,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f160,f64]) ).
fof(f1000,plain,
! [X0] :
( ~ sQ18_spl
| product2(X0,e_2,e_5)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f160,f79]) ).
fof(f1004,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f157,f999]) ).
fof(f1005,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f68]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f157,f66]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f157,f64]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ17_spl
| product2(X0,e_2,e_5)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f157,f79]) ).
fof(f1009,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1004,f56]) ).
fof(f1010,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1009]) ).
fof(f1012,plain,
( ~ sQ16_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f154,f83]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f154,f68]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f154,f66]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f154,f64]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ16_spl
| product2(X0,e_2,e_5)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f154,f79]) ).
fof(f1019,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f45]) ).
fof(f1020,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f1019]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f151,f68]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,X0)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f151,f66]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f151,f64]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ15_spl
| product2(X0,e_2,e_5)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f151,f79]) ).
fof(f1028,plain,
( ~ sQ14_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f147,f80]) ).
fof(f1029,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f147,f68]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f147,f66]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f147,f64]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ14_spl
| product2(X0,e_3,e_5)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f147,f79]) ).
fof(f1033,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1028,f60]) ).
fof(f1034,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1033]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f144,f68]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f144,f66]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f144,f64]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ13_spl
| product2(X0,e_3,e_5)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f144,f79]) ).
fof(f1043,plain,
( ~ sQ22_spl
| ~ sQ12_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f141,f970]) ).
fof(f1044,plain,
( ~ sQ12_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f141,f83]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f141,f68]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f141,f66]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f141,f64]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ12_spl
| product2(X0,e_3,e_5)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f141,f79]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f138,f68]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f138,f66]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ11_spl
| product2(X0,e_3,e_5)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f138,f79]) ).
fof(f1058,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f135,f1053]) ).
fof(f1059,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f135,f1022]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f135,f68]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f135,f66]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,X0)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f135,f64]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ10_spl
| product2(X0,e_3,e_5)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f135,f79]) ).
fof(f1064,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1058,f46]) ).
fof(f1065,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1064]) ).
fof(f1066,plain,
( ~ sQ9_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f131,f80]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f131,f68]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f131,f66]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f131,f64]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ9_spl
| product2(X0,e_4,e_5)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f131,f79]) ).
fof(f1071,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1066,f61]) ).
fof(f1072,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1071]) ).
fof(f1073,plain,
( ~ sQ8_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f128,f83]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f128,f68]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f128,f66]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f128,f64]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ8_spl
| product2(X0,e_4,e_5)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f128,f79]) ).
fof(f1078,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1073,f57]) ).
fof(f1079,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1080,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f125,f970]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f125,f68]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f125,f66]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f125,f64]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ7_spl
| product2(X0,e_4,e_5)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f125,f79]) ).
fof(f1085,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1080,f44]) ).
fof(f1086,plain,
( ~ sQ22_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1085]) ).
fof(f1087,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f122,f1052]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f122,f68]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f122,f66]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f122,f64]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ6_spl
| product2(X0,e_4,e_5)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f122,f79]) ).
fof(f1092,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1087,f52]) ).
fof(f1093,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1092]) ).
fof(f1094,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1059,f47]) ).
fof(f1095,plain,
( ~ sQ15_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1096,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1044,f53]) ).
fof(f1097,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1096]) ).
fof(f1098,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f119,f1022]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f119,f68]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f119,f66]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f119,f64]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ5_spl
| product2(X0,e_4,e_5)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f119,f79]) ).
fof(f1103,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1098,f48]) ).
fof(f1104,plain,
( ~ sQ15_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f264,f68]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f264,f66]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f264,f64]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ49_spl
| product2(X0,e_1,e_4)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f264,f79]) ).
fof(f1109,plain,
( ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f261,f80]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f261,f68]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f261,f66]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f261,f64]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ48_spl
| product2(X0,e_1,e_4)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f261,f79]) ).
fof(f1114,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1109,f54]) ).
fof(f1115,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f1114]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f258,f68]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f258,f66]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,X0)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f258,f64]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ47_spl
| product2(X0,e_1,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f258,f79]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f255,f68]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f255,f66]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f255,f64]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ46_spl
| product2(X0,e_1,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f255,f79]) ).
fof(f1124,plain,
( ~ sQ45_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f252,f83]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f252,f68]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f252,f66]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f252,f64]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ45_spl
| product2(X0,e_1,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f252,f79]) ).
fof(f1129,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1124,f44]) ).
fof(f1130,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1129]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f248,f68]) ).
fof(f1132,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f248,f66]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,X0)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f248,f64]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ44_spl
| product2(X0,e_2,e_4)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f248,f79]) ).
fof(f1135,plain,
( ~ sQ5_spl
| ~ sQ49_spl
| product2(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1108,f119]) ).
fof(f1136,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1134,f119]) ).
fof(f1137,plain,
( ~ sQ5_spl
| ~ sQ49_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1135,f84]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ49_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1135,f76]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ49_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1135,f74]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ49_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1135,f72]) ).
fof(f1141,plain,
( ~ sQ5_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1137,f44]) ).
fof(f1142,plain,
( ~ sQ5_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1143,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f975,f255]) ).
fof(f1144,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1143,f61]) ).
fof(f1145,plain,
( ~ sQ46_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1144]) ).
fof(f1146,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1012,f49]) ).
fof(f1147,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1136,f72]) ).
fof(f1160,plain,
( ~ sQ47_spl
| ~ sQ22_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f969,f258]) ).
fof(f1161,plain,
( ~ sQ47_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1160,f61]) ).
fof(f1162,plain,
( ~ sQ47_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1161]) ).
fof(f1164,plain,
( ~ sQ43_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f245,f80]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f245,f68]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f245,f66]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f245,f64]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ43_spl
| product2(X0,e_2,e_4)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f245,f79]) ).
fof(f1171,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f242,f1117]) ).
fof(f1172,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f242,f1005]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f242,f68]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f242,f66]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f242,f64]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ42_spl
| product2(X0,e_2,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f242,f79]) ).
fof(f1177,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1171,f42]) ).
fof(f1178,plain,
( ~ sQ47_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1177]) ).
fof(f1180,plain,
( ~ sQ41_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f239,f83]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f239,f68]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f239,f66]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f239,f64]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ41_spl
| product2(X0,e_2,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f239,f79]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f236,f68]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f236,f66]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f236,f64]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ40_spl
| product2(X0,e_2,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f236,f79]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f232,f68]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f232,f66]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,X0)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f232,f64]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ39_spl
| product2(X0,e_3,e_4)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f232,f79]) ).
fof(f1202,plain,
( ~ sQ38_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f229,f80]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f229,f68]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f229,f66]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f229,f64]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ38_spl
| product2(X0,e_3,e_4)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f229,f79]) ).
fof(f1209,plain,
( ~ sQ37_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f226,f83]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f226,f68]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f226,f66]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f226,f64]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ37_spl
| product2(X0,e_3,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f226,f79]) ).
fof(f1214,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1209,f52]) ).
fof(f1215,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1214]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f223,f68]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f223,f66]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f223,f64]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ36_spl
| product2(X0,e_3,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f223,f79]) ).
fof(f1220,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f220,f1188]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f220,f68]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,X0)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f220,f66]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f220,f64]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ35_spl
| product2(X0,e_3,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f220,f79]) ).
fof(f1225,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1220,f47]) ).
fof(f1226,plain,
( ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1225]) ).
fof(f1227,plain,
( ~ sQ34_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f216,f81]) ).
fof(f1228,plain,
( ~ sQ34_spl
| product2(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f216,f82]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f216,f68]) ).
fof(f1230,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f216,f66]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,X0)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f216,f64]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ34_spl
| product2(X0,e_4,e_4)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f216,f79]) ).
fof(f1233,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1227,f57]) ).
fof(f1234,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1233]) ).
fof(f1235,plain,
( ~ sQ32_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f210,f81]) ).
fof(f1236,plain,
( ~ sQ32_spl
| product2(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f210,f82]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f210,f68]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f210,f66]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f210,f64]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ32_spl
| product2(X0,e_4,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f210,f79]) ).
fof(f1241,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1235,f56]) ).
fof(f1242,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f1241]) ).
fof(f1243,plain,
( ~ sQ31_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f207,f81]) ).
fof(f1244,plain,
( ~ sQ31_spl
| product2(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f207,f82]) ).
fof(f1245,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f207,f68]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f207,f66]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f207,f64]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ31_spl
| product2(X0,e_4,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f207,f79]) ).
fof(f1249,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1243,f55]) ).
fof(f1250,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1249]) ).
fof(f1252,plain,
( ~ sQ30_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f204,f81]) ).
fof(f1253,plain,
( ~ sQ30_spl
| product2(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f204,f82]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f204,f68]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f204,f66]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f204,f64]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ30_spl
| product2(X0,e_4,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f204,f79]) ).
fof(f1260,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1172,f61]) ).
fof(f1261,plain,
( ~ sQ17_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1260]) ).
fof(f1262,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1164,f55]) ).
fof(f1263,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1264,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1180,f48]) ).
fof(f1265,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1264]) ).
fof(f1266,plain,
( ~ sQ29_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f200,f83]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_4,X0)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f200,f68]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f200,f66]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f200,f64]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ29_spl
| product2(X0,e_5,e_4)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f200,f79]) ).
fof(f1271,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1266,f61]) ).
fof(f1272,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1271]) ).
fof(f1273,plain,
( ~ sQ28_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f197,f80]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f197,f68]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_5,X0)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f197,f66]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f197,f64]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ28_spl
| product2(X0,e_5,e_4)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f197,f79]) ).
fof(f1278,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1273,f57]) ).
fof(f1279,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f1283,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1121,f223]) ).
fof(f1284,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1283,f43]) ).
fof(f1285,plain,
( ~ sQ36_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1284]) ).
fof(f1286,plain,
( ~ sQ47_spl
| ~ sQ27_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f194,f1117]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f194,f68]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,X0)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f194,f66]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f194,f64]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ27_spl
| product2(X0,e_5,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f194,f79]) ).
fof(f1291,plain,
( ~ sQ47_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1286,f45]) ).
fof(f1292,plain,
( ~ sQ47_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1291]) ).
fof(f1293,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1202,f56]) ).
fof(f1294,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1293]) ).
fof(f1295,plain,
( ~ sQ36_spl
| ~ sQ26_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f191,f1217]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_4,X0)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f191,f68]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_5,X0)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f191,f66]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f191,f64]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ26_spl
| product2(X0,e_5,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f191,f79]) ).
fof(f1300,plain,
( ~ sQ36_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1295,f53]) ).
fof(f1301,plain,
( ~ sQ36_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1300]) ).
fof(f1302,plain,
( ~ sQ13_spl
| ~ sQ25_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f188,f1038]) ).
fof(f1303,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f188,f1222]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,X0)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f188,f68]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,X0)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f188,f66]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,X0)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f188,f64]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ25_spl
| product2(X0,e_5,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f188,f79]) ).
fof(f1308,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1303,f53]) ).
fof(f1309,plain,
( ~ sQ35_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1308]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ25_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1302,f76]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ25_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1302,f74]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ25_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1302,f72]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f349,f68]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,X0)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f349,f66]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,X0)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f349,f64]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ74_spl
| product2(X0,e_1,e_3)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f349,f79]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f346,f68]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,X0)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f346,f66]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f346,f64]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ73_spl
| product2(X0,e_1,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f346,f79]) ).
fof(f1324,plain,
( ~ sQ72_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f343,f80]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f343,f68]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,X0)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f343,f66]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f343,f64]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ72_spl
| product2(X0,e_1,e_3)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f79]) ).
fof(f1329,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1324,f50]) ).
fof(f1330,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1329]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f340,f68]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,X0)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f340,f66]) ).
fof(f1333,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f340,f64]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ71_spl
| product2(X0,e_1,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f340,f79]) ).
fof(f1335,plain,
( ~ sQ70_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f337,f83]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f337,f68]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f337,f66]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f337,f64]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ70_spl
| product2(X0,e_1,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f337,f79]) ).
fof(f1340,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1335,f43]) ).
fof(f1341,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f1340]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f333,f68]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,X0)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f333,f66]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f333,f64]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ69_spl
| product2(X0,e_2,e_3)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f333,f79]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f330,f68]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,X0)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f330,f66]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f330,f64]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ68_spl
| product2(X0,e_2,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f330,f79]) ).
fof(f1350,plain,
( ~ sQ67_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f327,f80]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f327,f68]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,X0)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f327,f66]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f327,f64]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ67_spl
| product2(X0,e_2,e_3)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f327,f79]) ).
fof(f1355,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1350,f51]) ).
fof(f1356,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1355]) ).
fof(f1357,plain,
( ~ sQ66_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f324,f83]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f324,f68]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f324,f66]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f324,f64]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ66_spl
| product2(X0,e_2,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f324,f79]) ).
fof(f1362,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1357,f47]) ).
fof(f1363,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1362]) ).
fof(f1367,plain,
( ~ sQ71_spl
| ~ sQ21_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f975,f340]) ).
fof(f1368,plain,
( ~ sQ71_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f60]) ).
fof(f1369,plain,
( ~ sQ71_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1368]) ).
fof(f1371,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1317,f333]) ).
fof(f1373,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1371,f42]) ).
fof(f1374,plain,
( ~ sQ69_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1373]) ).
fof(f1376,plain,
( ~ sQ68_spl
| ~ sQ73_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1321,f330]) ).
fof(f1378,plain,
( ~ sQ68_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f42]) ).
fof(f1379,plain,
( ~ sQ68_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1378]) ).
fof(f1380,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f321,f1021]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f321,f68]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,X0)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f321,f66]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,X0)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f321,f64]) ).
fof(f1384,plain,
! [X0] :
( ~ sQ65_spl
| product2(X0,e_2,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f321,f79]) ).
fof(f1385,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1380,f60]) ).
fof(f1386,plain,
( ~ sQ15_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1385]) ).
fof(f1390,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1187,f321]) ).
fof(f1391,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1390,f56]) ).
fof(f1392,plain,
( ~ sQ65_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1393,plain,
( ~ sQ64_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f317,f81]) ).
fof(f1394,plain,
( ~ sQ64_spl
| product2(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f317,f82]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f317,f68]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f317,f66]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,X0)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f317,f64]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ64_spl
| product2(X0,e_3,e_3)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f317,f79]) ).
fof(f1399,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1393,f53]) ).
fof(f1400,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1399]) ).
fof(f1401,plain,
( ~ sQ63_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f314,f81]) ).
fof(f1402,plain,
( ~ sQ63_spl
| product2(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f314,f82]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f314,f68]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f314,f66]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f314,f64]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ63_spl
| product2(X0,e_3,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f314,f79]) ).
fof(f1407,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1401,f52]) ).
fof(f1408,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1407]) ).
fof(f1409,plain,
( ~ sQ61_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f308,f81]) ).
fof(f1410,plain,
( ~ sQ61_spl
| product2(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f308,f82]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f308,f68]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f308,f66]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f308,f64]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ61_spl
| product2(X0,e_3,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f308,f79]) ).
fof(f1415,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1409,f51]) ).
fof(f1416,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1415]) ).
fof(f1417,plain,
( ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f305,f81]) ).
fof(f1418,plain,
( ~ sQ60_spl
| product2(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f305,f82]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f305,f68]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f305,f66]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f305,f64]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ60_spl
| product2(X0,e_3,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f305,f79]) ).
fof(f1423,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1417,f50]) ).
fof(f1424,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1423]) ).
fof(f1425,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| product2(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f301,f1176]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f301,f68]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f301,f66]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,X0)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f301,f64]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ59_spl
| product2(X0,e_4,e_3)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f301,f79]) ).
fof(f1430,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| product2(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f298,f1176]) ).
fof(f1431,plain,
( ~ sQ58_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f298,f83]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f298,f68]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f298,f66]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f298,f64]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ58_spl
| product2(X0,e_4,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f298,f79]) ).
fof(f1436,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1431,f56]) ).
fof(f1437,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1436]) ).
fof(f1438,plain,
( ~ sQ42_spl
| ~ sQ57_spl
| product2(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f295,f1176]) ).
fof(f1439,plain,
( ~ sQ57_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f295,f80]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f295,f68]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,X0)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f295,f66]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f295,f64]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ57_spl
| product2(X0,e_4,e_3)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f295,f79]) ).
fof(f1444,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1439,f52]) ).
fof(f1445,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1444]) ).
fof(f1446,plain,
( ~ sQ42_spl
| ~ sQ56_spl
| product2(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f292,f1176]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f292,f68]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,X0)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f292,f66]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f292,f64]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ56_spl
| product2(X0,e_4,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f292,f79]) ).
fof(f1451,plain,
( ~ sQ42_spl
| ~ sQ55_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f289,f1176]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f289,f68]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f289,f66]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f289,f64]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ55_spl
| product2(X0,e_4,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f289,f79]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1425,f76]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1425,f74]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1425,f72]) ).
fof(f1459,plain,
( ~ sQ42_spl
| ~ sQ56_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1446,f84]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ56_spl
| equalish(e_2,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1446,f76]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ56_spl
| equalish(e_2,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1446,f74]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ56_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1446,f72]) ).
fof(f1463,plain,
( ~ sQ42_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f48]) ).
fof(f1464,plain,
( ~ sQ42_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1463]) ).
fof(f1471,plain,
( ~ sQ56_spl
| ~ sQ71_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1332,f292]) ).
fof(f1472,plain,
( ~ sQ56_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1471,f44]) ).
fof(f1473,plain,
( ~ sQ56_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1472]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1451,f76]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1451,f74]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ55_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1451,f72]) ).
fof(f1479,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ59_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1425,f76]) ).
fof(f1483,plain,
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ59_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1456,f1451]) ).
fof(f1484,plain,
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1483,f58]) ).
fof(f1485,plain,
( ~ sQ42_spl
| ~ sQ55_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1484]) ).
fof(f1492,plain,
( ~ sQ22_spl
| ~ sQ54_spl
| product2(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f285,f972]) ).
fof(f1493,plain,
( ~ sQ54_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f285,f83]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f285,f68]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f285,f66]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f285,f64]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ54_spl
| product2(X0,e_5,e_3)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f285,f79]) ).
fof(f1498,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1493,f60]) ).
fof(f1499,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1500,plain,
( ~ sQ22_spl
| ~ sQ53_spl
| product2(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f282,f972]) ).
fof(f1501,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f282,f1347]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f282,f68]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,X0)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f282,f66]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,X0)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f282,f64]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ53_spl
| product2(X0,e_5,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f282,f79]) ).
fof(f1506,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1501,f49]) ).
fof(f1507,plain,
( ~ sQ68_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1506]) ).
fof(f1508,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1382,f289]) ).
fof(f1509,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1508,f48]) ).
fof(f1510,plain,
( ~ sQ55_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1509]) ).
fof(f1511,plain,
( ~ sQ52_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f279,f80]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f279,f68]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_5,X0)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f279,f66]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f279,f64]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ52_spl
| product2(X0,e_5,e_3)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f279,f79]) ).
fof(f1516,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1511,f53]) ).
fof(f1517,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1516]) ).
fof(f1518,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f276,f1332]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f276,f68]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,X0)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f276,f66]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f276,f64]) ).
fof(f1522,plain,
! [X0] :
( ~ sQ51_spl
| product2(X0,e_5,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f276,f79]) ).
fof(f1523,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1518,f45]) ).
fof(f1524,plain,
( ~ sQ71_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1523]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f273,f68]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,X0)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f273,f66]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f273,f64]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ50_spl
| product2(X0,e_5,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f273,f79]) ).
fof(f1529,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f434,f68]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,X0)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f434,f66]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f434,f64]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ99_spl
| product2(X0,e_1,e_2)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f79]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f431,f68]) ).
fof(f1534,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,X0)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f431,f66]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f64]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ98_spl
| product2(X0,e_1,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f431,f79]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f428,f68]) ).
fof(f1538,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,X0)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f428,f66]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f428,f64]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ97_spl
| product2(X0,e_1,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f428,f79]) ).
fof(f1541,plain,
( ~ sQ96_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f425,f80]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f425,f68]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,X0)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f425,f66]) ).
fof(f1544,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f425,f64]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ96_spl
| product2(X0,e_1,e_2)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f425,f79]) ).
fof(f1546,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1541,f46]) ).
fof(f1547,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1546]) ).
fof(f1548,plain,
( ~ sQ95_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f422,f83]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f422,f68]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f422,f66]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f422,f64]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ95_spl
| product2(X0,e_1,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f422,f79]) ).
fof(f1553,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1548,f42]) ).
fof(f1554,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1553]) ).
fof(f1555,plain,
( ~ sQ94_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f418,f81]) ).
fof(f1556,plain,
( ~ sQ94_spl
| product2(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f418,f82]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f418,f68]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f418,f66]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,X0)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f64]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ94_spl
| product2(X0,e_2,e_2)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f79]) ).
fof(f1561,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1555,f49]) ).
fof(f1562,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1561]) ).
fof(f1569,plain,
( ~ sQ50_spl
| ~ sQ22_spl
| product2(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f972,f273]) ).
fof(f1570,plain,
( ~ sQ50_spl
| ~ sQ22_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1569,f84]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ22_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1569,f76]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ22_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1569,f74]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ22_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1569,f72]) ).
fof(f1574,plain,
( ~ sQ50_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1570,f45]) ).
fof(f1575,plain,
( ~ sQ50_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1574]) ).
fof(f1582,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| product2(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f1008,f273]) ).
fof(f1583,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1582,f1150]) ).
fof(f1584,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1582,f76]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1582,f74]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1582,f72]) ).
fof(f1587,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ50_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1583,f57]) ).
fof(f1588,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ50_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1587]) ).
fof(f1591,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1531,f428]) ).
fof(f1592,plain,
( ~ sQ98_spl
| ~ sQ99_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1531,f431]) ).
fof(f1594,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1591,f60]) ).
fof(f1595,plain,
( ~ sQ97_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1594]) ).
fof(f1599,plain,
( ~ sQ98_spl
| ~ sQ73_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1320,f431]) ).
fof(f1600,plain,
( ~ sQ98_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1599,f51]) ).
fof(f1601,plain,
( ~ sQ98_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1600]) ).
fof(f1608,plain,
( ~ sQ93_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f415,f81]) ).
fof(f1609,plain,
( ~ sQ93_spl
| product2(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f82]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f415,f68]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f415,f66]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,X0)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f415,f64]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ93_spl
| product2(X0,e_2,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f415,f79]) ).
fof(f1614,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1608,f48]) ).
fof(f1615,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1617,plain,
( ~ sQ92_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f412,f81]) ).
fof(f1618,plain,
( ~ sQ92_spl
| product2(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f412,f82]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f412,f68]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f412,f66]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,X0)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f412,f64]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ92_spl
| product2(X0,e_2,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f412,f79]) ).
fof(f1625,plain,
( ~ sQ90_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f406,f81]) ).
fof(f1626,plain,
( ~ sQ90_spl
| product2(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f406,f82]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f406,f68]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f406,f66]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f406,f64]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ90_spl
| product2(X0,e_2,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f406,f79]) ).
fof(f1631,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1625,f46]) ).
fof(f1632,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f1631]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f402,f68]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,X0)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f402,f66]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,X0)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f402,f64]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ89_spl
| product2(X0,e_3,e_2)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f79]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f399,f68]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,X0)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f399,f66]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,X0)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f399,f64]) ).
fof(f1640,plain,
! [X0] :
( ~ sQ88_spl
| product2(X0,e_3,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f399,f79]) ).
fof(f1641,plain,
( ~ sQ87_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f396,f83]) ).
fof(f1642,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_2,X0)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f396,f68]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f396,f66]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f396,f64]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ87_spl
| product2(X0,e_3,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f396,f79]) ).
fof(f1646,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1641,f51]) ).
fof(f1647,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1646]) ).
fof(f1649,plain,
( ~ sQ86_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f393,f80]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f393,f68]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,X0)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f393,f66]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f393,f64]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ86_spl
| product2(X0,e_3,e_2)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f393,f79]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f390,f68]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,X0)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f390,f66]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f390,f64]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ85_spl
| product2(X0,e_3,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f390,f79]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,X0)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f386,f68]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,X0)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f386,f66]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,X0)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f386,f64]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ84_spl
| product2(X0,e_4,e_2)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f386,f79]) ).
fof(f1670,plain,
( ~ sQ84_spl
| ~ sQ26_spl
| product2(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1299,f386]) ).
fof(f1671,plain,
( ~ sQ84_spl
| ~ sQ26_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1670,f84]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ26_spl
| equalish(e_5,X0)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1670,f76]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ26_spl
| equalish(e_5,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1670,f74]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ26_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1670,f72]) ).
fof(f1675,plain,
( ~ sQ84_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1671,f61]) ).
fof(f1676,plain,
( ~ sQ84_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1675]) ).
fof(f1683,plain,
( ~ sQ85_spl
| ~ sQ71_spl
| product2(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1334,f390]) ).
fof(f1684,plain,
( ~ sQ88_spl
| ~ sQ71_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1334,f399]) ).
fof(f1685,plain,
( ~ sQ89_spl
| ~ sQ71_spl
| product2(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1334,f402]) ).
fof(f1686,plain,
( ~ sQ85_spl
| ~ sQ71_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1683,f84]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ71_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1683,f76]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ71_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1683,f74]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ71_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1683,f72]) ).
fof(f1690,plain,
( ~ sQ85_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1686,f43]) ).
fof(f1691,plain,
( ~ sQ85_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1690]) ).
fof(f1692,plain,
( ~ sQ88_spl
| ~ sQ56_spl
| product2(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1450,f399]) ).
fof(f1693,plain,
( ~ sQ89_spl
| ~ sQ56_spl
| product2(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1450,f402]) ).
fof(f1694,plain,
( ~ sQ88_spl
| ~ sQ56_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1692,f84]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ56_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1692,f76]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ56_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1692,f74]) ).
fof(f1697,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ56_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1692,f72]) ).
fof(f1698,plain,
( ~ sQ88_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f56]) ).
fof(f1699,plain,
( ~ sQ88_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1698]) ).
fof(f1703,plain,
( ~ sQ26_spl
| ~ sQ83_spl
| product2(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f383,f1299]) ).
fof(f1704,plain,
( ~ sQ83_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f383,f83]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_2,X0)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f383,f68]) ).
fof(f1706,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f383,f66]) ).
fof(f1707,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f383,f64]) ).
fof(f1708,plain,
! [X0] :
( ~ sQ83_spl
| product2(X0,e_4,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f383,f79]) ).
fof(f1709,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1704,f55]) ).
fof(f1710,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1709]) ).
fof(f1711,plain,
( ~ sQ26_spl
| ~ sQ82_spl
| product2(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f380,f1299]) ).
fof(f1712,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f380,f1538]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f380,f68]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,X0)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f380,f66]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f380,f64]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ82_spl
| product2(X0,e_4,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f380,f79]) ).
fof(f1717,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1712,f44]) ).
fof(f1718,plain,
( ~ sQ97_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1717]) ).
fof(f1720,plain,
( ~ sQ81_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f377,f80]) ).
fof(f1721,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f377,f68]) ).
fof(f1722,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,X0)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f377,f66]) ).
fof(f1723,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f377,f64]) ).
fof(f1724,plain,
! [X0] :
( ~ sQ81_spl
| product2(X0,e_4,e_2)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f377,f79]) ).
fof(f1727,plain,
( ~ sQ55_spl
| ~ sQ80_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f374,f1452]) ).
fof(f1728,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,X0)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f374,f68]) ).
fof(f1729,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,X0)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f374,f66]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,X0)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f374,f64]) ).
fof(f1731,plain,
! [X0] :
( ~ sQ80_spl
| product2(X0,e_4,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f374,f79]) ).
fof(f1732,plain,
( ~ sQ55_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1727,f51]) ).
fof(f1733,plain,
( ~ sQ55_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1732]) ).
fof(f1735,plain,
( ~ sQ79_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f370,f83]) ).
fof(f1736,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_2,X0)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f370,f68]) ).
fof(f1737,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f370,f66]) ).
fof(f1738,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f370,f64]) ).
fof(f1739,plain,
! [X0] :
( ~ sQ79_spl
| product2(X0,e_5,e_2)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f370,f79]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_2,X0)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f367,f68]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_5,X0)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f367,f66]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,X0)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f367,f64]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ78_spl
| product2(X0,e_5,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f367,f79]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f364,f68]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,X0)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f364,f66]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,X0)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f364,f64]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ77_spl
| product2(X0,e_5,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f364,f79]) ).
fof(f1750,plain,
( ~ sQ76_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f361,f80]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f361,f68]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_5,X0)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f361,f66]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f361,f64]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ76_spl
| product2(X0,e_5,e_2)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f361,f79]) ).
fof(f1755,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1750,f49]) ).
fof(f1756,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f1755]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f358,f68]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,X0)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f358,f66]) ).
fof(f1759,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f358,f64]) ).
fof(f1760,plain,
! [X0] :
( ~ sQ75_spl
| product2(X0,e_5,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f358,f79]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ56_spl
| equalish(e_5,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1693,f76]) ).
fof(f1762,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ56_spl
| equalish(e_4,X0)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1693,f74]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ56_spl
| equalish(e_3,X0)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1693,f72]) ).
fof(f1767,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| product2(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1299,f374]) ).
fof(f1769,plain,
( ~ sQ75_spl
| ~ sQ6_spl
| product2(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1091,f358]) ).
fof(f1770,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| product2(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f1091,f364]) ).
fof(f1771,plain,
( ~ sQ78_spl
| ~ sQ6_spl
| product2(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f1091,f367]) ).
fof(f1772,plain,
( ~ sQ75_spl
| ~ sQ21_spl
| product2(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f978,f358]) ).
fof(f1773,plain,
( ~ sQ77_spl
| ~ sQ21_spl
| product2(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f978,f364]) ).
fof(f1774,plain,
( ~ sQ78_spl
| ~ sQ21_spl
| product2(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f978,f367]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1767,f72]) ).
fof(f1778,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1769,f76]) ).
fof(f1779,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ6_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1769,f74]) ).
fof(f1780,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ6_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1769,f72]) ).
fof(f1781,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ6_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1770,f76]) ).
fof(f1782,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ6_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1770,f74]) ).
fof(f1783,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ6_spl
| equalish(e_5,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1770,f72]) ).
fof(f1784,plain,
( ~ sQ78_spl
| ~ sQ6_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1771,f84]) ).
fof(f1785,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ6_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1771,f76]) ).
fof(f1786,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ6_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1771,f74]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ6_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1771,f72]) ).
fof(f1788,plain,
( ~ sQ78_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1784,f57]) ).
fof(f1789,plain,
( ~ sQ78_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1788]) ).
fof(f1790,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1720,f48]) ).
fof(f1791,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1790]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ53_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1500,f76]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ53_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1500,f74]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ53_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1500,f72]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1136,f76]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1136,f74]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_1,X0)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1767,f76]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_5,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1767,f74]) ).
fof(f1802,plain,
( ~ sQ75_spl
| ~ sQ11_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1054,f358]) ).
fof(f1803,plain,
( ~ sQ77_spl
| ~ sQ11_spl
| product2(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f1054,f364]) ).
fof(f1804,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ11_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1802,f76]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ11_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1802,f74]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ11_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1802,f72]) ).
fof(f1807,plain,
( ~ sQ77_spl
| ~ sQ11_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1803,f84]) ).
fof(f1808,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ11_spl
| equalish(e_3,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1803,f76]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ11_spl
| equalish(e_3,X0)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1803,f74]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ11_spl
| equalish(e_5,X0)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1803,f72]) ).
fof(f1811,plain,
( ~ sQ77_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1807,f53]) ).
fof(f1812,plain,
( ~ sQ77_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1811]) ).
fof(f1813,plain,
( ~ sQ98_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1592,f61]) ).
fof(f1814,plain,
( ~ sQ98_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1813]) ).
fof(f1815,plain,
( ~ sQ75_spl
| ~ sQ21_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1772,f84]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ21_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1772,f76]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ21_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1772,f74]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ21_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1772,f72]) ).
fof(f1819,plain,
( ~ sQ75_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1815,f45]) ).
fof(f1820,plain,
( ~ sQ75_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1819]) ).
fof(f1831,plain,
( ~ sQ75_spl
| ~ sQ80_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1729,f358]) ).
fof(f1832,plain,
( ~ sQ75_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1831,f57]) ).
fof(f1833,plain,
( ~ sQ75_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1832]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ71_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1684,f76]) ).
fof(f1835,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ71_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1684,f74]) ).
fof(f1836,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ71_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1684,f72]) ).
fof(f1837,plain,
( ~ sQ75_spl
| ~ sQ6_spl
| ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1582,f1779]) ).
fof(f1841,plain,
( ~ sQ75_spl
| ~ sQ6_spl
| ~ sQ50_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1837,f55]) ).
fof(f1842,plain,
( ~ sQ75_spl
| ~ sQ6_spl
| ~ sQ50_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1841]) ).
fof(f1846,plain,
( ~ sQ124_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f519,f81]) ).
fof(f1847,plain,
( ~ sQ124_spl
| product2(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f519,f82]) ).
fof(f1848,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f519,f68]) ).
fof(f1849,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f519,f66]) ).
fof(f1850,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f519,f64]) ).
fof(f1851,plain,
! [X0] :
( ~ sQ124_spl
| product2(X0,e_1,e_1)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f519,f79]) ).
fof(f1852,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1846,f45]) ).
fof(f1853,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1852]) ).
fof(f1854,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1617,f47]) ).
fof(f1855,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1854]) ).
fof(f1856,plain,
( ~ sQ123_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f516,f81]) ).
fof(f1857,plain,
( ~ sQ123_spl
| product2(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f516,f82]) ).
fof(f1858,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f516,f68]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f516,f66]) ).
fof(f1860,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f64]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ123_spl
| product2(X0,e_1,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f79]) ).
fof(f1862,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1856,f44]) ).
fof(f1863,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f1862]) ).
fof(f1864,plain,
( ~ sQ122_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f513,f81]) ).
fof(f1865,plain,
( ~ sQ122_spl
| product2(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f513,f82]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f513,f68]) ).
fof(f1867,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f513,f66]) ).
fof(f1868,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,X0)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f513,f64]) ).
fof(f1869,plain,
! [X0] :
( ~ sQ122_spl
| product2(X0,e_1,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f513,f79]) ).
fof(f1870,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1864,f43]) ).
fof(f1871,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f1870]) ).
fof(f1872,plain,
( ~ sQ121_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f510,f81]) ).
fof(f1873,plain,
( ~ sQ121_spl
| product2(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f510,f82]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f510,f68]) ).
fof(f1875,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f510,f66]) ).
fof(f1876,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f510,f64]) ).
fof(f1877,plain,
! [X0] :
( ~ sQ121_spl
| product2(X0,e_1,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f510,f79]) ).
fof(f1878,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1872,f42]) ).
fof(f1879,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1878]) ).
fof(f1880,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f503,f68]) ).
fof(f1881,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,X0)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f503,f66]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f503,f64]) ).
fof(f1883,plain,
! [X0] :
( ~ sQ119_spl
| product2(X0,e_2,e_1)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f503,f79]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f500,f68]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,X0)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f500,f66]) ).
fof(f1886,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,X0)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f500,f64]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ118_spl
| product2(X0,e_2,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f79]) ).
fof(f1888,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_1,X0)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f497,f68]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,X0)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f497,f66]) ).
fof(f1890,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,X0)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f497,f64]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ117_spl
| product2(X0,e_2,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f497,f79]) ).
fof(f1892,plain,
( ~ sQ116_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f494,f83]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_1,X0)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f494,f68]) ).
fof(f1894,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f494,f66]) ).
fof(f1895,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f494,f64]) ).
fof(f1896,plain,
! [X0] :
( ~ sQ116_spl
| product2(X0,e_2,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f494,f79]) ).
fof(f1897,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1892,f46]) ).
fof(f1898,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1897]) ).
fof(f1899,plain,
( ~ sQ115_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f491,f80]) ).
fof(f1900,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f491,f68]) ).
fof(f1901,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,X0)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f491,f66]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f491,f64]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ115_spl
| product2(X0,e_2,e_1)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f491,f79]) ).
fof(f1904,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1899,f42]) ).
fof(f1905,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f1904]) ).
fof(f1910,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ21_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1773,f74]) ).
fof(f1911,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ21_spl
| equalish(e_5,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1773,f72]) ).
fof(f1914,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| product2(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1731,f497]) ).
fof(f1915,plain,
( ~ sQ118_spl
| ~ sQ80_spl
| product2(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1731,f500]) ).
fof(f1916,plain,
( ~ sQ119_spl
| ~ sQ80_spl
| product2(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1731,f503]) ).
fof(f1919,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ80_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1914,f72]) ).
fof(f1920,plain,
( ~ sQ118_spl
| ~ sQ80_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1915,f84]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ80_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1915,f76]) ).
fof(f1922,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ80_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1915,f74]) ).
fof(f1923,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ80_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1915,f72]) ).
fof(f1924,plain,
( ~ sQ118_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f55]) ).
fof(f1925,plain,
( ~ sQ118_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1924]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1769,f76]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ6_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1769,f74]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ6_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1769,f72]) ).
fof(f1938,plain,
( ~ sQ117_spl
| ~ sQ75_spl
| product2(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f1760,f497]) ).
fof(f1939,plain,
( ~ sQ119_spl
| ~ sQ75_spl
| product2(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1760,f503]) ).
fof(f1940,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ75_spl
| equalish(e_3,X0)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1938,f76]) ).
fof(f1941,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ75_spl
| equalish(e_5,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1938,f74]) ).
fof(f1942,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ75_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1938,f72]) ).
fof(f1943,plain,
( ~ sQ119_spl
| ~ sQ75_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1939,f84]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ75_spl
| equalish(e_5,X0)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1939,f76]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ75_spl
| equalish(e_5,X0)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1939,f74]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ75_spl
| equalish(e_2,X0)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1939,f72]) ).
fof(f1947,plain,
( ~ sQ119_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1943,f59]) ).
fof(f1948,plain,
( ~ sQ119_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1947]) ).
fof(f1960,plain,
( ~ sQ55_spl
| ~ sQ114_spl
| product2(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f487,f1455]) ).
fof(f1961,plain,
( ~ sQ50_spl
| ~ sQ114_spl
| product2(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f487,f1528]) ).
fof(f1962,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_1,X0)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f487,f68]) ).
fof(f1963,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,X0)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f487,f66]) ).
fof(f1964,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f487,f64]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ114_spl
| product2(X0,e_3,e_1)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f487,f79]) ).
fof(f1966,plain,
( ~ sQ55_spl
| ~ sQ113_spl
| product2(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f484,f1455]) ).
fof(f1967,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| product2(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f484,f1528]) ).
fof(f1968,plain,
( ~ sQ13_spl
| ~ sQ113_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f484,f1035]) ).
fof(f1969,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f484,f68]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,X0)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f484,f66]) ).
fof(f1971,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f484,f64]) ).
fof(f1972,plain,
! [X0] :
( ~ sQ113_spl
| product2(X0,e_3,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f484,f79]) ).
fof(f1973,plain,
( ~ sQ13_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1968,f58]) ).
fof(f1974,plain,
( ~ sQ13_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f1976,plain,
( ~ sQ112_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f481,f83]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f481,f68]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f481,f66]) ).
fof(f1979,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f481,f64]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ112_spl
| product2(X0,e_3,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f79]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f478,f68]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,X0)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f478,f66]) ).
fof(f1985,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,X0)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f478,f64]) ).
fof(f1986,plain,
! [X0] :
( ~ sQ111_spl
| product2(X0,e_3,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f478,f79]) ).
fof(f1987,plain,
( ~ sQ110_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f475,f80]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f475,f68]) ).
fof(f1989,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,X0)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f475,f66]) ).
fof(f1990,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f475,f64]) ).
fof(f1991,plain,
! [X0] :
( ~ sQ110_spl
| product2(X0,e_3,e_1)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f475,f79]) ).
fof(f1992,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1987,f43]) ).
fof(f1993,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f1992]) ).
fof(f1994,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,X0)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f471,f68]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,X0)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f471,f66]) ).
fof(f1996,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f471,f64]) ).
fof(f1997,plain,
! [X0] :
( ~ sQ109_spl
| product2(X0,e_4,e_1)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f471,f79]) ).
fof(f1998,plain,
( ~ sQ108_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f468,f83]) ).
fof(f1999,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_1,X0)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f468,f68]) ).
fof(f2000,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f468,f66]) ).
fof(f2001,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f468,f64]) ).
fof(f2002,plain,
! [X0] :
( ~ sQ108_spl
| product2(X0,e_4,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f79]) ).
fof(f2003,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1998,f54]) ).
fof(f2004,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f2003]) ).
fof(f2005,plain,
( ~ sQ117_spl
| ~ sQ107_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f465,f1889]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f465,f68]) ).
fof(f2007,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,X0)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f465,f66]) ).
fof(f2008,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f465,f64]) ).
fof(f2009,plain,
! [X0] :
( ~ sQ107_spl
| product2(X0,e_4,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f465,f79]) ).
fof(f2010,plain,
( ~ sQ117_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2005,f48]) ).
fof(f2011,plain,
( ~ sQ117_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2010]) ).
fof(f2012,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,X0)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f462,f68]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,X0)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f462,f66]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,X0)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f462,f64]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ106_spl
| product2(X0,e_4,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f462,f79]) ).
fof(f2022,plain,
( ~ sQ50_spl
| ~ sQ114_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1961,f84]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ114_spl
| equalish(e_5,X0)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1961,f76]) ).
fof(f2024,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ114_spl
| equalish(e_5,X0)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1961,f74]) ).
fof(f2025,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ114_spl
| equalish(e_3,X0)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1961,f72]) ).
fof(f2026,plain,
( ~ sQ50_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2022,f60]) ).
fof(f2027,plain,
( ~ sQ50_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f2026]) ).
fof(f2029,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ21_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1774,f74]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ21_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1774,f72]) ).
fof(f2031,plain,
( ~ sQ106_spl
| ~ sQ40_spl
| product2(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1190,f462]) ).
fof(f2032,plain,
( ~ sQ109_spl
| ~ sQ40_spl
| product2(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1190,f471]) ).
fof(f2033,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ80_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1914,f76]) ).
fof(f2034,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ80_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1914,f74]) ).
fof(f2035,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ80_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1914,f72]) ).
fof(f2036,plain,
( ~ sQ106_spl
| ~ sQ40_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2031,f84]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ40_spl
| equalish(e_2,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2031,f76]) ).
fof(f2038,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ40_spl
| equalish(e_2,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2031,f74]) ).
fof(f2039,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ40_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2031,f72]) ).
fof(f2040,plain,
( ~ sQ106_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2036,f48]) ).
fof(f2041,plain,
( ~ sQ106_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2040]) ).
fof(f2042,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1976,f50]) ).
fof(f2043,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f2042]) ).
fof(f2058,plain,
( ~ sQ111_spl
| ~ sQ50_spl
| product2(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1528,f478]) ).
fof(f2059,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| product2(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1455,f478]) ).
fof(f2060,plain,
( ~ sQ106_spl
| ~ sQ35_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1224,f462]) ).
fof(f2061,plain,
( ~ sQ109_spl
| ~ sQ35_spl
| product2(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1224,f471]) ).
fof(f2062,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ50_spl
| equalish(e_2,X0)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2058,f76]) ).
fof(f2063,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ50_spl
| equalish(e_5,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2058,f74]) ).
fof(f2064,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ50_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f2058,f72]) ).
fof(f2065,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ55_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2059,f76]) ).
fof(f2066,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ55_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2059,f74]) ).
fof(f2067,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ55_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2059,f72]) ).
fof(f2068,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ35_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2060,f76]) ).
fof(f2069,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ35_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2060,f74]) ).
fof(f2070,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ35_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2060,f72]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ35_spl
| equalish(e_5,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2061,f76]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ35_spl
| equalish(e_3,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2061,f74]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ35_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f2061,f72]) ).
fof(f2085,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2063,f2059]) ).
fof(f2087,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2085,f61]) ).
fof(f2088,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2087]) ).
fof(f2089,plain,
( ~ sQ88_spl
| ~ sQ71_spl
| ~ sQ50_spl
| ~ sQ113_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1967,f1835]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| equalish(e_4,X0)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1967,f76]) ).
fof(f2091,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| equalish(e_5,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1967,f74]) ).
fof(f2092,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1967,f72]) ).
fof(f2093,plain,
( ~ sQ88_spl
| ~ sQ71_spl
| ~ sQ50_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2089,f45]) ).
fof(f2094,plain,
( ~ sQ88_spl
| ~ sQ71_spl
| ~ sQ50_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f2093]) ).
fof(f2095,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1649,f47]) ).
fof(f2096,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f2095]) ).
fof(f2104,plain,
( ~ sQ35_spl
| ~ sQ105_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f459,f1224]) ).
fof(f2105,plain,
( ~ sQ105_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f459,f80]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f459,f68]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,X0)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f459,f66]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f459,f64]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ105_spl
| product2(X0,e_4,e_1)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f459,f79]) ).
fof(f2113,plain,
( ~ sQ104_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f455,f83]) ).
fof(f2114,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_1,X0)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f455,f68]) ).
fof(f2115,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_5,X0)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f455,f66]) ).
fof(f2116,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_5,X0)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f455,f64]) ).
fof(f2117,plain,
! [X0] :
( ~ sQ104_spl
| product2(X0,e_5,e_1)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f455,f79]) ).
fof(f2120,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2113,f58]) ).
fof(f2121,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f2120]) ).
fof(f2122,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2105,f44]) ).
fof(f2123,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f2122]) ).
fof(f2124,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f452,f68]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,X0)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f452,f66]) ).
fof(f2126,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f452,f64]) ).
fof(f2127,plain,
! [X0] :
( ~ sQ103_spl
| product2(X0,e_5,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f452,f79]) ).
fof(f2128,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f449,f68]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,X0)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f449,f66]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,X0)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f449,f64]) ).
fof(f2131,plain,
! [X0] :
( ~ sQ102_spl
| product2(X0,e_5,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f449,f79]) ).
fof(f2132,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,X0)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f446,f68]) ).
fof(f2133,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,X0)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f446,f66]) ).
fof(f2134,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,X0)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f446,f64]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ101_spl
| product2(X0,e_5,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f446,f79]) ).
fof(f2136,plain,
( ~ sQ100_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f443,f80]) ).
fof(f2137,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f443,f68]) ).
fof(f2138,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_5,X0)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f443,f66]) ).
fof(f2139,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f64]) ).
fof(f2140,plain,
! [X0] :
( ~ sQ100_spl
| product2(X0,e_5,e_1)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f443,f79]) ).
fof(f2141,plain,
( ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2136,f45]) ).
fof(f2142,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f2141]) ).
fof(f2143,plain,
( ~ sQ149_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f604,f85]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ149_spl
| equalish(e_5,X0)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f604,f76]) ).
fof(f2145,plain,
! [X0] :
( ~ sQ149_spl
| equalish(e_1,X0)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f604,f74]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ149_spl
| equalish(e_5,X0)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f604,f72]) ).
fof(f2147,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2143,f58]) ).
fof(f2148,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f2147]) ).
fof(f2149,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_5,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f601,f76]) ).
fof(f2150,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_1,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f601,f74]) ).
fof(f2151,plain,
! [X0] :
( ~ sQ148_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f601,f72]) ).
fof(f2152,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_5,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f598,f76]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_1,X0)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f598,f74]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ147_spl
| equalish(e_3,X0)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f598,f72]) ).
fof(f2167,plain,
( ~ sQ101_spl
| ~ sQ10_spl
| product2(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f1063,f446]) ).
fof(f2168,plain,
( ~ sQ102_spl
| ~ sQ10_spl
| product2(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f1063,f449]) ).
fof(f2169,plain,
( ~ sQ103_spl
| ~ sQ10_spl
| product2(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f1063,f452]) ).
fof(f2170,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ10_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2167,f76]) ).
fof(f2171,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2167,f74]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ10_spl
| equalish(e_5,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2167,f72]) ).
fof(f2173,plain,
( ~ sQ102_spl
| ~ sQ10_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2168,f84]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2168,f76]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2168,f74]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ10_spl
| equalish(e_5,X0)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f2168,f72]) ).
fof(f2177,plain,
( ~ sQ102_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2173,f53]) ).
fof(f2178,plain,
( ~ sQ102_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2177]) ).
fof(f2198,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| product2(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f1102,f446]) ).
fof(f2199,plain,
( ~ sQ103_spl
| ~ sQ5_spl
| product2(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f1102,f452]) ).
fof(f2200,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ5_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2198,f76]) ).
fof(f2201,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ5_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2198,f74]) ).
fof(f2202,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ5_spl
| equalish(e_5,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2198,f72]) ).
fof(f2203,plain,
( ~ sQ103_spl
| ~ sQ5_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2199,f84]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ5_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2199,f76]) ).
fof(f2205,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ5_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2199,f74]) ).
fof(f2206,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ5_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2199,f72]) ).
fof(f2207,plain,
( ~ sQ103_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2203,f57]) ).
fof(f2208,plain,
( ~ sQ103_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2207]) ).
fof(f2215,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ21_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1773,f76]) ).
fof(f2216,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ21_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1773,f74]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2032,f76]) ).
fof(f2222,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2032,f74]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2032,f72]) ).
fof(f2229,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ117_spl
| ~ sQ80_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1919,f1770]) ).
fof(f2231,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ117_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2229,f49]) ).
fof(f2232,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ117_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f2231]) ).
fof(f2243,plain,
( ~ sQ101_spl
| ~ sQ26_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1296,f446]) ).
fof(f2244,plain,
( ~ sQ101_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2243,f54]) ).
fof(f2245,plain,
( ~ sQ101_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2244]) ).
fof(f2250,plain,
( ~ sQ109_spl
| ~ sQ40_spl
| ~ sQ148_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2150,f2032]) ).
fof(f2252,plain,
( ~ sQ109_spl
| ~ sQ40_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2250,f42]) ).
fof(f2253,plain,
( ~ sQ109_spl
| ~ sQ40_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f2252]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_5,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f595,f76]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_1,X0)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f595,f74]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ146_spl
| equalish(e_2,X0)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f595,f72]) ).
fof(f2257,plain,
( ~ sQ145_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f592,f86]) ).
fof(f2258,plain,
! [X0] :
( ~ sQ145_spl
| equalish(e_5,X0)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f592,f76]) ).
fof(f2259,plain,
! [X0] :
( ~ sQ145_spl
| equalish(e_1,X0)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f592,f74]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ145_spl
| equalish(e_1,X0)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f592,f72]) ).
fof(f2261,plain,
( ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2257,f45]) ).
fof(f2262,plain,
~ sQ145_spl,
inference(contradiction_clause,[status(thm)],[f2261]) ).
fof(f2264,plain,
( ~ sQ144_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f588,f85]) ).
fof(f2265,plain,
! [X0] :
( ~ sQ144_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f588,f76]) ).
fof(f2266,plain,
! [X0] :
( ~ sQ144_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f588,f74]) ).
fof(f2267,plain,
! [X0] :
( ~ sQ144_spl
| equalish(e_5,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f588,f72]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f582,f76]) ).
fof(f2271,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f582,f74]) ).
fof(f2272,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_3,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f582,f72]) ).
fof(f2273,plain,
( ~ sQ141_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f579,f86]) ).
fof(f2274,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f579,f76]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f579,f74]) ).
fof(f2276,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_2,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f579,f72]) ).
fof(f2277,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2273,f49]) ).
fof(f2278,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f2277]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f576,f76]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f576,f74]) ).
fof(f2281,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_1,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f576,f72]) ).
fof(f2282,plain,
( ~ sQ139_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f572,f85]) ).
fof(f2283,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_5,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f572,f76]) ).
fof(f2284,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_3,X0)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f572,f74]) ).
fof(f2285,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_5,X0)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f572,f72]) ).
fof(f2286,plain,
( ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2282,f60]) ).
fof(f2287,plain,
~ sQ139_spl,
inference(contradiction_clause,[status(thm)],[f2286]) ).
fof(f2288,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_5,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f569,f76]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_3,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f569,f74]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f569,f72]) ).
fof(f2293,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ21_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1910,f1770]) ).
fof(f2294,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2293,f44]) ).
fof(f2295,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2294]) ).
fof(f2303,plain,
( ~ sQ138_spl
| ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2222,f569]) ).
fof(f2305,plain,
( ~ sQ138_spl
| ~ sQ109_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2303,f47]) ).
fof(f2306,plain,
( ~ sQ138_spl
| ~ sQ109_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2305]) ).
fof(f2307,plain,
( ~ sQ140_spl
| ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2223,f576]) ).
fof(f2308,plain,
( ~ sQ142_spl
| ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2223,f582]) ).
fof(f2310,plain,
( ~ sQ140_spl
| ~ sQ109_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2307,f54]) ).
fof(f2311,plain,
( ~ sQ140_spl
| ~ sQ109_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2310]) ).
fof(f2312,plain,
( ~ sQ142_spl
| ~ sQ109_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2308,f56]) ).
fof(f2313,plain,
( ~ sQ142_spl
| ~ sQ109_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2312]) ).
fof(f2316,plain,
( ~ sQ146_spl
| ~ sQ147_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2154,f595]) ).
fof(f2318,plain,
( ~ sQ146_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2316,f51]) ).
fof(f2319,plain,
( ~ sQ146_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2320,plain,
( ~ sQ137_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f566,f86]) ).
fof(f2321,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_5,X0)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f566,f76]) ).
fof(f2322,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_3,X0)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f566,f74]) ).
fof(f2323,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_3,X0)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f566,f72]) ).
fof(f2324,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2320,f53]) ).
fof(f2325,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f2324]) ).
fof(f2326,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_5,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f563,f76]) ).
fof(f2327,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_3,X0)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f563,f74]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_2,X0)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f563,f72]) ).
fof(f2329,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_5,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f560,f76]) ).
fof(f2330,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_3,X0)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f560,f74]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_1,X0)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f560,f72]) ).
fof(f2333,plain,
( ~ sQ134_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f556,f85]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_5,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f556,f76]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_4,X0)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f556,f74]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_5,X0)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f556,f72]) ).
fof(f2340,plain,
( ~ sQ133_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f553,f86]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_5,X0)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f553,f76]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_4,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f553,f74]) ).
fof(f2343,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f553,f72]) ).
fof(f2346,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_5,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f550,f76]) ).
fof(f2347,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_4,X0)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f550,f74]) ).
fof(f2348,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_3,X0)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f550,f72]) ).
fof(f2349,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_5,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f547,f76]) ).
fof(f2350,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_4,X0)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f547,f74]) ).
fof(f2351,plain,
! [X0] :
( ~ sQ131_spl
| equalish(e_2,X0)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f547,f72]) ).
fof(f2352,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_5,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f544,f76]) ).
fof(f2353,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_4,X0)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f544,f74]) ).
fof(f2354,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_1,X0)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f544,f72]) ).
fof(f2356,plain,
( ~ sQ128_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f537,f84]) ).
fof(f2357,plain,
! [X0] :
( ~ sQ128_spl
| equalish(e_5,X0)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f537,f76]) ).
fof(f2358,plain,
! [X0] :
( ~ sQ128_spl
| equalish(e_5,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f537,f74]) ).
fof(f2359,plain,
! [X0] :
( ~ sQ128_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f537,f72]) ).
fof(f2363,plain,
( ~ sQ131_spl
| ~ sQ146_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2255,f547]) ).
fof(f2364,plain,
( ~ sQ136_spl
| ~ sQ146_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2255,f563]) ).
fof(f2366,plain,
( ~ sQ131_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2363,f44]) ).
fof(f2367,plain,
( ~ sQ131_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f2366]) ).
fof(f2370,plain,
( ~ sQ135_spl
| ~ sQ136_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2328,f560]) ).
fof(f2372,plain,
( ~ sQ135_spl
| ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2370,f46]) ).
fof(f2373,plain,
( ~ sQ135_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f2372]) ).
fof(f2375,plain,
( ~ sQ130_spl
| ~ sQ135_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2330,f544]) ).
fof(f2377,plain,
( ~ sQ130_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2375,f52]) ).
fof(f2378,plain,
( ~ sQ130_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f2377]) ).
fof(f2382,plain,
( ~ sQ132_spl
| ~ sQ147_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2153,f550]) ).
fof(f2383,plain,
( ~ sQ132_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2382,f44]) ).
fof(f2384,plain,
( ~ sQ132_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2383]) ).
fof(f2385,plain,
( ~ sQ136_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2364,f43]) ).
fof(f2386,plain,
( ~ sQ136_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f2385]) ).
fof(f2388,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ127_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f534,f2090]) ).
fof(f2389,plain,
( ~ sQ127_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f534,f84]) ).
fof(f2390,plain,
! [X0] :
( ~ sQ127_spl
| equalish(e_5,X0)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f534,f76]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ127_spl
| equalish(e_5,X0)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f534,f74]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ127_spl
| equalish(e_3,X0)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f534,f72]) ).
fof(f2396,plain,
( ~ sQ126_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f531,f84]) ).
fof(f2397,plain,
! [X0] :
( ~ sQ126_spl
| equalish(e_5,X0)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f531,f76]) ).
fof(f2398,plain,
! [X0] :
( ~ sQ126_spl
| equalish(e_5,X0)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f531,f74]) ).
fof(f2399,plain,
! [X0] :
( ~ sQ126_spl
| equalish(e_2,X0)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f531,f72]) ).
fof(f2403,plain,
( ~ sQ125_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f528,f84]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ125_spl
| equalish(e_5,X0)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f528,f76]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ125_spl
| equalish(e_5,X0)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f528,f74]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ125_spl
| equalish(e_1,X0)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f528,f72]) ).
fof(f2409,plain,
! [X0] :
( ~ sQ174_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f689,f76]) ).
fof(f2410,plain,
! [X0] :
( ~ sQ174_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f689,f74]) ).
fof(f2411,plain,
! [X0] :
( ~ sQ174_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f689,f72]) ).
fof(f2416,plain,
( ~ sQ173_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f686,f85]) ).
fof(f2417,plain,
! [X0] :
( ~ sQ173_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f686,f76]) ).
fof(f2418,plain,
! [X0] :
( ~ sQ173_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f686,f74]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ173_spl
| equalish(e_4,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f686,f72]) ).
fof(f2422,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ172_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f683,f2091]) ).
fof(f2423,plain,
( ~ sQ147_spl
| ~ sQ172_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f683,f2152]) ).
fof(f2424,plain,
! [X0] :
( ~ sQ172_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f683,f76]) ).
fof(f2425,plain,
! [X0] :
( ~ sQ172_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f683,f74]) ).
fof(f2426,plain,
! [X0] :
( ~ sQ172_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f683,f72]) ).
fof(f2427,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2422,f58]) ).
fof(f2428,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2427]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ171_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f680,f76]) ).
fof(f2430,plain,
! [X0] :
( ~ sQ171_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f680,f74]) ).
fof(f2431,plain,
! [X0] :
( ~ sQ171_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f680,f72]) ).
fof(f2436,plain,
( ~ sQ170_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f677,f86]) ).
fof(f2437,plain,
! [X0] :
( ~ sQ170_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f677,f76]) ).
fof(f2438,plain,
! [X0] :
( ~ sQ170_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f677,f74]) ).
fof(f2439,plain,
! [X0] :
( ~ sQ170_spl
| equalish(e_1,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f677,f72]) ).
fof(f2442,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ169_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f673,f1584]) ).
fof(f2443,plain,
! [X0] :
( ~ sQ169_spl
| equalish(e_4,X0)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f673,f76]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ169_spl
| equalish(e_2,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f673,f74]) ).
fof(f2445,plain,
! [X0] :
( ~ sQ169_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f673,f72]) ).
fof(f2446,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2442,f44]) ).
fof(f2447,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f2446]) ).
fof(f2449,plain,
( ~ sQ168_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f670,f85]) ).
fof(f2450,plain,
! [X0] :
( ~ sQ168_spl
| equalish(e_4,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f670,f76]) ).
fof(f2451,plain,
! [X0] :
( ~ sQ168_spl
| equalish(e_2,X0)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f670,f74]) ).
fof(f2452,plain,
! [X0] :
( ~ sQ168_spl
| equalish(e_4,X0)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f670,f72]) ).
fof(f2455,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ167_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f667,f2091]) ).
fof(f2456,plain,
! [X0] :
( ~ sQ167_spl
| equalish(e_4,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f667,f76]) ).
fof(f2457,plain,
! [X0] :
( ~ sQ167_spl
| equalish(e_2,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f667,f74]) ).
fof(f2458,plain,
! [X0] :
( ~ sQ167_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f667,f72]) ).
fof(f2459,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2455,f59]) ).
fof(f2460,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ167_spl ),
inference(contradiction_clause,[status(thm)],[f2459]) ).
fof(f2462,plain,
( ~ sQ166_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f664,f86]) ).
fof(f2463,plain,
! [X0] :
( ~ sQ166_spl
| equalish(e_4,X0)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f664,f76]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ166_spl
| equalish(e_2,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f664,f74]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ166_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f664,f72]) ).
fof(f2468,plain,
( ~ sQ170_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2436,f44]) ).
fof(f2469,plain,
~ sQ170_spl,
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2470,plain,
( ~ sQ147_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2423,f61]) ).
fof(f2471,plain,
( ~ sQ147_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2470]) ).
fof(f2472,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f59]) ).
fof(f2473,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f2472]) ).
fof(f2480,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ21_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1774,f76]) ).
fof(f2481,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ21_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1774,f74]) ).
fof(f2483,plain,
! [X0] :
( ~ sQ165_spl
| equalish(e_4,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f661,f76]) ).
fof(f2484,plain,
! [X0] :
( ~ sQ165_spl
| equalish(e_2,X0)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f661,f74]) ).
fof(f2485,plain,
! [X0] :
( ~ sQ165_spl
| equalish(e_1,X0)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f661,f72]) ).
fof(f2486,plain,
! [X0] :
( ~ sQ164_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f657,f76]) ).
fof(f2487,plain,
! [X0] :
( ~ sQ164_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f657,f74]) ).
fof(f2488,plain,
! [X0] :
( ~ sQ164_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f657,f72]) ).
fof(f2489,plain,
( ~ sQ163_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f654,f85]) ).
fof(f2490,plain,
! [X0] :
( ~ sQ163_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f654,f76]) ).
fof(f2491,plain,
! [X0] :
( ~ sQ163_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f654,f74]) ).
fof(f2492,plain,
! [X0] :
( ~ sQ163_spl
| equalish(e_4,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f654,f72]) ).
fof(f2493,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2489,f56]) ).
fof(f2494,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f2493]) ).
fof(f2495,plain,
( ~ sQ162_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f651,f86]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ162_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f651,f76]) ).
fof(f2497,plain,
! [X0] :
( ~ sQ162_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f651,f74]) ).
fof(f2498,plain,
! [X0] :
( ~ sQ162_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f651,f72]) ).
fof(f2499,plain,
( ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2495,f52]) ).
fof(f2500,plain,
~ sQ162_spl,
inference(contradiction_clause,[status(thm)],[f2499]) ).
fof(f2501,plain,
! [X0] :
( ~ sQ161_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f648,f76]) ).
fof(f2502,plain,
! [X0] :
( ~ sQ161_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f648,f74]) ).
fof(f2503,plain,
! [X0] :
( ~ sQ161_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f648,f72]) ).
fof(f2504,plain,
! [X0] :
( ~ sQ160_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f645,f76]) ).
fof(f2505,plain,
! [X0] :
( ~ sQ160_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f645,f74]) ).
fof(f2506,plain,
! [X0] :
( ~ sQ160_spl
| equalish(e_1,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f645,f72]) ).
fof(f2507,plain,
( ~ sQ159_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f641,f84]) ).
fof(f2508,plain,
! [X0] :
( ~ sQ159_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f641,f76]) ).
fof(f2509,plain,
! [X0] :
( ~ sQ159_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f641,f74]) ).
fof(f2510,plain,
! [X0] :
( ~ sQ159_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f641,f72]) ).
fof(f2511,plain,
( ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2507,f57]) ).
fof(f2512,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2513,plain,
( ~ sQ157_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f635,f84]) ).
fof(f2514,plain,
! [X0] :
( ~ sQ157_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f635,f76]) ).
fof(f2515,plain,
! [X0] :
( ~ sQ157_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f635,f74]) ).
fof(f2516,plain,
! [X0] :
( ~ sQ157_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f635,f72]) ).
fof(f2517,plain,
( ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2513,f56]) ).
fof(f2518,plain,
~ sQ157_spl,
inference(contradiction_clause,[status(thm)],[f2517]) ).
fof(f2519,plain,
( ~ sQ156_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f632,f84]) ).
fof(f2520,plain,
! [X0] :
( ~ sQ156_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f632,f76]) ).
fof(f2521,plain,
! [X0] :
( ~ sQ156_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f632,f74]) ).
fof(f2522,plain,
! [X0] :
( ~ sQ156_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f632,f72]) ).
fof(f2523,plain,
( ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2519,f55]) ).
fof(f2524,plain,
~ sQ156_spl,
inference(contradiction_clause,[status(thm)],[f2523]) ).
fof(f2532,plain,
( ~ sQ164_spl
| ~ sQ78_spl
| ~ sQ21_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2029,f657]) ).
fof(f2534,plain,
( ~ sQ164_spl
| ~ sQ78_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2532,f43]) ).
fof(f2535,plain,
( ~ sQ164_spl
| ~ sQ78_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2534]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ25_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1302,f76]) ).
fof(f2546,plain,
( ~ sQ164_spl
| ~ sQ13_spl
| ~ sQ25_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1310,f657]) ).
fof(f2547,plain,
( ~ sQ164_spl
| ~ sQ13_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2546,f44]) ).
fof(f2548,plain,
( ~ sQ164_spl
| ~ sQ13_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2547]) ).
fof(f2552,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ109_spl
| ~ sQ35_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2061,f1457]) ).
fof(f2556,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ109_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2552,f47]) ).
fof(f2557,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ109_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2556]) ).
fof(f2564,plain,
( ~ sQ155_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f629,f84]) ).
fof(f2565,plain,
! [X0] :
( ~ sQ155_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f629,f76]) ).
fof(f2566,plain,
! [X0] :
( ~ sQ155_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f629,f74]) ).
fof(f2567,plain,
! [X0] :
( ~ sQ155_spl
| equalish(e_1,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f629,f72]) ).
fof(f2568,plain,
( ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2564,f54]) ).
fof(f2569,plain,
~ sQ155_spl,
inference(contradiction_clause,[status(thm)],[f2568]) ).
fof(f2570,plain,
( ~ sQ154_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f625,f86]) ).
fof(f2571,plain,
! [X0] :
( ~ sQ154_spl
| equalish(e_4,X0)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f625,f76]) ).
fof(f2572,plain,
! [X0] :
( ~ sQ154_spl
| equalish(e_5,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f625,f74]) ).
fof(f2573,plain,
! [X0] :
( ~ sQ154_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f625,f72]) ).
fof(f2574,plain,
( ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2570,f61]) ).
fof(f2575,plain,
~ sQ154_spl,
inference(contradiction_clause,[status(thm)],[f2574]) ).
fof(f2576,plain,
( ~ sQ153_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f622,f85]) ).
fof(f2577,plain,
! [X0] :
( ~ sQ153_spl
| equalish(e_4,X0)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f622,f76]) ).
fof(f2578,plain,
! [X0] :
( ~ sQ153_spl
| equalish(e_5,X0)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f622,f74]) ).
fof(f2579,plain,
! [X0] :
( ~ sQ153_spl
| equalish(e_4,X0)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f622,f72]) ).
fof(f2580,plain,
( ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2576,f57]) ).
fof(f2581,plain,
~ sQ153_spl,
inference(contradiction_clause,[status(thm)],[f2580]) ).
fof(f2582,plain,
! [X0] :
( ~ sQ152_spl
| equalish(e_4,X0)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f619,f76]) ).
fof(f2583,plain,
! [X0] :
( ~ sQ152_spl
| equalish(e_5,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f619,f74]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ152_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f619,f72]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ151_spl
| equalish(e_4,X0)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f616,f76]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ151_spl
| equalish(e_5,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f616,f74]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ151_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f616,f72]) ).
fof(f2588,plain,
! [X0] :
( ~ sQ150_spl
| equalish(e_4,X0)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f613,f76]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ150_spl
| equalish(e_5,X0)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f613,f74]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ150_spl
| equalish(e_1,X0)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f613,f72]) ).
fof(f2591,plain,
( ~ sQ77_spl
| ~ sQ21_spl
| ~ sQ198_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f771,f1911]) ).
fof(f2592,plain,
! [X0] :
( ~ sQ198_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f771,f76]) ).
fof(f2593,plain,
! [X0] :
( ~ sQ198_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f771,f74]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ198_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f771,f72]) ).
fof(f2595,plain,
( ~ sQ77_spl
| ~ sQ21_spl
| ~ sQ198_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2591,f61]) ).
fof(f2596,plain,
( ~ sQ77_spl
| ~ sQ21_spl
| ~ sQ198_spl ),
inference(contradiction_clause,[status(thm)],[f2595]) ).
fof(f2598,plain,
( ~ sQ197_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f768,f85]) ).
fof(f2599,plain,
! [X0] :
( ~ sQ197_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f768,f76]) ).
fof(f2600,plain,
! [X0] :
( ~ sQ197_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f768,f74]) ).
fof(f2601,plain,
! [X0] :
( ~ sQ197_spl
| equalish(e_3,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f768,f72]) ).
fof(f2604,plain,
( ~ sQ152_spl
| ~ sQ172_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2425,f619]) ).
fof(f2605,plain,
( ~ sQ152_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2604,f45]) ).
fof(f2606,plain,
( ~ sQ152_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2605]) ).
fof(f2607,plain,
( ~ sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2416,f54]) ).
fof(f2608,plain,
~ sQ173_spl,
inference(contradiction_clause,[status(thm)],[f2607]) ).
fof(f2609,plain,
( ~ sQ160_spl
| ~ sQ135_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2329,f645]) ).
fof(f2610,plain,
( ~ sQ160_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2609,f61]) ).
fof(f2611,plain,
( ~ sQ160_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f2610]) ).
fof(f2613,plain,
( ~ sQ150_spl
| ~ sQ165_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2484,f613]) ).
fof(f2614,plain,
( ~ sQ160_spl
| ~ sQ165_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2484,f645]) ).
fof(f2616,plain,
( ~ sQ150_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2613,f49]) ).
fof(f2617,plain,
( ~ sQ150_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2616]) ).
fof(f2618,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2396,f59]) ).
fof(f2619,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f2618]) ).
fof(f2620,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2403,f58]) ).
fof(f2621,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f2620]) ).
fof(f2622,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f54]) ).
fof(f2623,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f2622]) ).
fof(f2624,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2340,f57]) ).
fof(f2625,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f2624]) ).
fof(f2626,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2356,f61]) ).
fof(f2627,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f2626]) ).
fof(f2628,plain,
( ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2449,f55]) ).
fof(f2629,plain,
~ sQ168_spl,
inference(contradiction_clause,[status(thm)],[f2628]) ).
fof(f2631,plain,
( ~ sQ151_spl
| ~ sQ161_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2502,f616]) ).
fof(f2633,plain,
( ~ sQ151_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2631,f53]) ).
fof(f2634,plain,
( ~ sQ151_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f2633]) ).
fof(f2635,plain,
( ~ sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2598,f50]) ).
fof(f2636,plain,
~ sQ197_spl,
inference(contradiction_clause,[status(thm)],[f2635]) ).
fof(f2637,plain,
( ~ sQ101_spl
| ~ sQ10_spl
| ~ sQ5_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2198,f2171]) ).
fof(f2641,plain,
( ~ sQ101_spl
| ~ sQ10_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2637,f52]) ).
fof(f2642,plain,
( ~ sQ101_spl
| ~ sQ10_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2641]) ).
fof(f2647,plain,
( ~ sQ150_spl
| ~ sQ160_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2505,f613]) ).
fof(f2649,plain,
( ~ sQ150_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2647,f53]) ).
fof(f2650,plain,
( ~ sQ150_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f2649]) ).
fof(f2654,plain,
( ~ sQ151_spl
| ~ sQ171_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2430,f616]) ).
fof(f2655,plain,
( ~ sQ151_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2654,f45]) ).
fof(f2656,plain,
( ~ sQ151_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f2655]) ).
fof(f2657,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2389,f60]) ).
fof(f2658,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f2657]) ).
fof(f2659,plain,
( ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2462,f48]) ).
fof(f2660,plain,
~ sQ166_spl,
inference(contradiction_clause,[status(thm)],[f2659]) ).
fof(f2661,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ196_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f765,f2034]) ).
fof(f2662,plain,
! [X0] :
( ~ sQ196_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f765,f76]) ).
fof(f2663,plain,
! [X0] :
( ~ sQ196_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f765,f74]) ).
fof(f2664,plain,
! [X0] :
( ~ sQ196_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f765,f72]) ).
fof(f2665,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2661,f54]) ).
fof(f2666,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f2665]) ).
fof(f2667,plain,
( ~ sQ195_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f762,f86]) ).
fof(f2668,plain,
! [X0] :
( ~ sQ195_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f762,f76]) ).
fof(f2669,plain,
! [X0] :
( ~ sQ195_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f762,f74]) ).
fof(f2670,plain,
! [X0] :
( ~ sQ195_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f762,f72]) ).
fof(f2671,plain,
( ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2667,f43]) ).
fof(f2672,plain,
~ sQ195_spl,
inference(contradiction_clause,[status(thm)],[f2671]) ).
fof(f2673,plain,
! [X0] :
( ~ sQ194_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f758,f76]) ).
fof(f2674,plain,
! [X0] :
( ~ sQ194_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f758,f74]) ).
fof(f2675,plain,
! [X0] :
( ~ sQ194_spl
| equalish(e_5,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f758,f72]) ).
fof(f2676,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ193_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f755,f1479]) ).
fof(f2677,plain,
! [X0] :
( ~ sQ193_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f755,f76]) ).
fof(f2678,plain,
! [X0] :
( ~ sQ193_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f755,f74]) ).
fof(f2679,plain,
! [X0] :
( ~ sQ193_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f755,f72]) ).
fof(f2680,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2676,f60]) ).
fof(f2681,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f2680]) ).
fof(f2682,plain,
( ~ sQ192_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f752,f85]) ).
fof(f2683,plain,
! [X0] :
( ~ sQ192_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f752,f76]) ).
fof(f2684,plain,
! [X0] :
( ~ sQ192_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f752,f74]) ).
fof(f2685,plain,
! [X0] :
( ~ sQ192_spl
| equalish(e_3,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f752,f72]) ).
fof(f2686,plain,
( ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2682,f51]) ).
fof(f2687,plain,
~ sQ192_spl,
inference(contradiction_clause,[status(thm)],[f2686]) ).
fof(f2689,plain,
( ~ sQ191_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f749,f86]) ).
fof(f2690,plain,
! [X0] :
( ~ sQ191_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f749,f76]) ).
fof(f2691,plain,
! [X0] :
( ~ sQ191_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f749,f74]) ).
fof(f2692,plain,
! [X0] :
( ~ sQ191_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f749,f72]) ).
fof(f2695,plain,
! [X0] :
( ~ sQ190_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f746,f76]) ).
fof(f2696,plain,
! [X0] :
( ~ sQ190_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f746,f74]) ).
fof(f2697,plain,
! [X0] :
( ~ sQ190_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f746,f72]) ).
fof(f2699,plain,
( ~ sQ189_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f742,f84]) ).
fof(f2700,plain,
! [X0] :
( ~ sQ189_spl
| equalish(e_3,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f742,f76]) ).
fof(f2701,plain,
! [X0] :
( ~ sQ189_spl
| equalish(e_3,X0)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f742,f74]) ).
fof(f2702,plain,
! [X0] :
( ~ sQ189_spl
| equalish(e_5,X0)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f742,f72]) ).
fof(f2705,plain,
( ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2699,f53]) ).
fof(f2706,plain,
~ sQ189_spl,
inference(contradiction_clause,[status(thm)],[f2705]) ).
fof(f2707,plain,
( ~ sQ188_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f739,f84]) ).
fof(f2708,plain,
! [X0] :
( ~ sQ188_spl
| equalish(e_3,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f739,f76]) ).
fof(f2709,plain,
! [X0] :
( ~ sQ188_spl
| equalish(e_3,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f739,f74]) ).
fof(f2710,plain,
! [X0] :
( ~ sQ188_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f739,f72]) ).
fof(f2711,plain,
( ~ sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2707,f52]) ).
fof(f2712,plain,
~ sQ188_spl,
inference(contradiction_clause,[status(thm)],[f2711]) ).
fof(f2733,plain,
( ~ sQ190_spl
| ~ sQ194_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2675,f746]) ).
fof(f2735,plain,
( ~ sQ190_spl
| ~ sQ194_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2733,f58]) ).
fof(f2736,plain,
( ~ sQ190_spl
| ~ sQ194_spl ),
inference(contradiction_clause,[status(thm)],[f2735]) ).
fof(f2742,plain,
( ~ sQ186_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f733,f84]) ).
fof(f2743,plain,
! [X0] :
( ~ sQ186_spl
| equalish(e_3,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f733,f76]) ).
fof(f2744,plain,
! [X0] :
( ~ sQ186_spl
| equalish(e_3,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f733,f74]) ).
fof(f2745,plain,
! [X0] :
( ~ sQ186_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f733,f72]) ).
fof(f2749,plain,
( ~ sQ185_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f730,f84]) ).
fof(f2750,plain,
! [X0] :
( ~ sQ185_spl
| equalish(e_3,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f730,f76]) ).
fof(f2751,plain,
! [X0] :
( ~ sQ185_spl
| equalish(e_3,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f730,f74]) ).
fof(f2752,plain,
! [X0] :
( ~ sQ185_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f730,f72]) ).
fof(f2755,plain,
( ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2749,f50]) ).
fof(f2756,plain,
~ sQ185_spl,
inference(contradiction_clause,[status(thm)],[f2755]) ).
fof(f2757,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ184_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f726,f2035]) ).
fof(f2758,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ184_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f726,f2200]) ).
fof(f2759,plain,
! [X0] :
( ~ sQ184_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f726,f76]) ).
fof(f2760,plain,
! [X0] :
( ~ sQ184_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f726,f74]) ).
fof(f2761,plain,
! [X0] :
( ~ sQ184_spl
| equalish(e_5,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f726,f72]) ).
fof(f2762,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ184_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2757,f49]) ).
fof(f2763,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ184_spl ),
inference(contradiction_clause,[status(thm)],[f2762]) ).
fof(f2765,plain,
( ~ sQ183_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f723,f86]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ183_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f723,f76]) ).
fof(f2767,plain,
! [X0] :
( ~ sQ183_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f723,f74]) ).
fof(f2768,plain,
! [X0] :
( ~ sQ183_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f723,f72]) ).
fof(f2772,plain,
( ~ sQ182_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f720,f85]) ).
fof(f2773,plain,
! [X0] :
( ~ sQ182_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f720,f76]) ).
fof(f2774,plain,
! [X0] :
( ~ sQ182_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f720,f74]) ).
fof(f2775,plain,
! [X0] :
( ~ sQ182_spl
| equalish(e_3,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f720,f72]) ).
fof(f2778,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ180_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f714,f2035]) ).
fof(f2779,plain,
! [X0] :
( ~ sQ180_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f714,f76]) ).
fof(f2780,plain,
! [X0] :
( ~ sQ180_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f714,f74]) ).
fof(f2781,plain,
! [X0] :
( ~ sQ180_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f714,f72]) ).
fof(f2782,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2778,f46]) ).
fof(f2783,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f2782]) ).
fof(f2784,plain,
( ~ sQ179_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f710,f86]) ).
fof(f2785,plain,
! [X0] :
( ~ sQ179_spl
| equalish(e_3,X0)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f710,f76]) ).
fof(f2786,plain,
! [X0] :
( ~ sQ179_spl
| equalish(e_5,X0)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f710,f74]) ).
fof(f2787,plain,
! [X0] :
( ~ sQ179_spl
| equalish(e_5,X0)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f710,f72]) ).
fof(f2788,plain,
( ~ sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2784,f60]) ).
fof(f2789,plain,
~ sQ179_spl,
inference(contradiction_clause,[status(thm)],[f2788]) ).
fof(f2790,plain,
! [X0] :
( ~ sQ178_spl
| equalish(e_3,X0)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f707,f76]) ).
fof(f2791,plain,
! [X0] :
( ~ sQ178_spl
| equalish(e_5,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f707,f74]) ).
fof(f2792,plain,
! [X0] :
( ~ sQ178_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f707,f72]) ).
fof(f2799,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ131_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2349,f1914]) ).
fof(f2800,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2799,f60]) ).
fof(f2801,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f2800]) ).
fof(f2802,plain,
( ~ sQ109_spl
| ~ sQ40_spl
| ~ sQ193_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2677,f2032]) ).
fof(f2803,plain,
( ~ sQ109_spl
| ~ sQ40_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2802,f53]) ).
fof(f2804,plain,
( ~ sQ109_spl
| ~ sQ40_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f2803]) ).
fof(f2805,plain,
( ~ sQ193_spl
| ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1136,f2677]) ).
fof(f2809,plain,
( ~ sQ193_spl
| ~ sQ5_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2805,f50]) ).
fof(f2810,plain,
( ~ sQ193_spl
| ~ sQ5_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2809]) ).
fof(f2821,plain,
( ~ sQ177_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f704,f85]) ).
fof(f2822,plain,
! [X0] :
( ~ sQ177_spl
| equalish(e_3,X0)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f704,f76]) ).
fof(f2823,plain,
! [X0] :
( ~ sQ177_spl
| equalish(e_5,X0)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f704,f74]) ).
fof(f2824,plain,
! [X0] :
( ~ sQ177_spl
| equalish(e_3,X0)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f704,f72]) ).
fof(f2827,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ176_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f701,f2034]) ).
fof(f2828,plain,
! [X0] :
( ~ sQ176_spl
| equalish(e_3,X0)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f701,f76]) ).
fof(f2829,plain,
! [X0] :
( ~ sQ176_spl
| equalish(e_5,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f701,f74]) ).
fof(f2830,plain,
! [X0] :
( ~ sQ176_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f701,f72]) ).
fof(f2831,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2827,f57]) ).
fof(f2832,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f2831]) ).
fof(f2833,plain,
( ~ sQ150_spl
| ~ sQ175_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f698,f2588]) ).
fof(f2834,plain,
! [X0] :
( ~ sQ175_spl
| equalish(e_3,X0)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f698,f76]) ).
fof(f2835,plain,
! [X0] :
( ~ sQ175_spl
| equalish(e_5,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f698,f74]) ).
fof(f2836,plain,
! [X0] :
( ~ sQ175_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f698,f72]) ).
fof(f2837,plain,
( ~ sQ150_spl
| ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2833,f56]) ).
fof(f2838,plain,
( ~ sQ150_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f2837]) ).
fof(f2839,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ224_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f859,f2201]) ).
fof(f2840,plain,
! [X0] :
( ~ sQ224_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f859,f76]) ).
fof(f2841,plain,
! [X0] :
( ~ sQ224_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f859,f74]) ).
fof(f2842,plain,
! [X0] :
( ~ sQ224_spl
| equalish(e_5,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f859,f72]) ).
fof(f2843,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ224_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2839,f54]) ).
fof(f2844,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ224_spl ),
inference(contradiction_clause,[status(thm)],[f2843]) ).
fof(f2845,plain,
! [X0] :
( ~ sQ223_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f856,f76]) ).
fof(f2846,plain,
! [X0] :
( ~ sQ223_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f856,f74]) ).
fof(f2847,plain,
! [X0] :
( ~ sQ223_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f856,f72]) ).
fof(f2848,plain,
! [X0] :
( ~ sQ222_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f853,f76]) ).
fof(f2849,plain,
! [X0] :
( ~ sQ222_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f853,f74]) ).
fof(f2850,plain,
! [X0] :
( ~ sQ222_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f853,f72]) ).
fof(f2851,plain,
( ~ sQ221_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f850,f85]) ).
fof(f2852,plain,
! [X0] :
( ~ sQ221_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f850,f76]) ).
fof(f2853,plain,
! [X0] :
( ~ sQ221_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f850,f74]) ).
fof(f2854,plain,
! [X0] :
( ~ sQ221_spl
| equalish(e_2,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f850,f72]) ).
fof(f2855,plain,
( ~ sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2851,f46]) ).
fof(f2856,plain,
~ sQ221_spl,
inference(contradiction_clause,[status(thm)],[f2855]) ).
fof(f2857,plain,
( ~ sQ220_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f847,f86]) ).
fof(f2858,plain,
! [X0] :
( ~ sQ220_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f847,f76]) ).
fof(f2859,plain,
! [X0] :
( ~ sQ220_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f847,f74]) ).
fof(f2860,plain,
! [X0] :
( ~ sQ220_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f847,f72]) ).
fof(f2861,plain,
( ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2857,f42]) ).
fof(f2862,plain,
~ sQ220_spl,
inference(contradiction_clause,[status(thm)],[f2861]) ).
fof(f2864,plain,
( ~ sQ219_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f843,f84]) ).
fof(f2865,plain,
! [X0] :
( ~ sQ219_spl
| equalish(e_2,X0)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f843,f76]) ).
fof(f2866,plain,
! [X0] :
( ~ sQ219_spl
| equalish(e_2,X0)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f843,f74]) ).
fof(f2867,plain,
! [X0] :
( ~ sQ219_spl
| equalish(e_5,X0)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f843,f72]) ).
fof(f2870,plain,
( ~ sQ218_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f840,f84]) ).
fof(f2871,plain,
! [X0] :
( ~ sQ218_spl
| equalish(e_2,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f840,f76]) ).
fof(f2872,plain,
! [X0] :
( ~ sQ218_spl
| equalish(e_2,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f840,f74]) ).
fof(f2873,plain,
! [X0] :
( ~ sQ218_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f840,f72]) ).
fof(f2874,plain,
( ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2870,f48]) ).
fof(f2875,plain,
~ sQ218_spl,
inference(contradiction_clause,[status(thm)],[f2874]) ).
fof(f2876,plain,
( ~ sQ217_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f837,f84]) ).
fof(f2877,plain,
! [X0] :
( ~ sQ217_spl
| equalish(e_2,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f837,f76]) ).
fof(f2878,plain,
! [X0] :
( ~ sQ217_spl
| equalish(e_2,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f837,f74]) ).
fof(f2879,plain,
! [X0] :
( ~ sQ217_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f837,f72]) ).
fof(f2880,plain,
( ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2876,f47]) ).
fof(f2881,plain,
~ sQ217_spl,
inference(contradiction_clause,[status(thm)],[f2880]) ).
fof(f2891,plain,
( ~ sQ222_spl
| ~ sQ172_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2424,f853]) ).
fof(f2892,plain,
( ~ sQ222_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2891,f55]) ).
fof(f2893,plain,
( ~ sQ222_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2892]) ).
fof(f2894,plain,
( ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2821,f53]) ).
fof(f2895,plain,
~ sQ177_spl,
inference(contradiction_clause,[status(thm)],[f2894]) ).
fof(f2896,plain,
( ~ sQ88_spl
| ~ sQ71_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1684,f682,f339,f398]) ).
fof(f2897,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2689,f47]) ).
fof(f2898,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f2897]) ).
fof(f2920,plain,
( ~ sQ215_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f831,f84]) ).
fof(f2921,plain,
! [X0] :
( ~ sQ215_spl
| equalish(e_2,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f831,f76]) ).
fof(f2922,plain,
! [X0] :
( ~ sQ215_spl
| equalish(e_2,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f831,f74]) ).
fof(f2923,plain,
! [X0] :
( ~ sQ215_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f831,f72]) ).
fof(f2924,plain,
( ~ sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2920,f46]) ).
fof(f2925,plain,
~ sQ215_spl,
inference(contradiction_clause,[status(thm)],[f2924]) ).
fof(f2926,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ214_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f827,f2201]) ).
fof(f2927,plain,
( ~ sQ164_spl
| ~ sQ214_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f827,f2486]) ).
fof(f2928,plain,
! [X0] :
( ~ sQ214_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f827,f76]) ).
fof(f2929,plain,
! [X0] :
( ~ sQ214_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f827,f74]) ).
fof(f2930,plain,
! [X0] :
( ~ sQ214_spl
| equalish(e_5,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f827,f72]) ).
fof(f2931,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ214_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2926,f56]) ).
fof(f2932,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ214_spl ),
inference(contradiction_clause,[status(thm)],[f2931]) ).
fof(f2933,plain,
( ~ sQ223_spl
| ~ sQ213_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f824,f2846]) ).
fof(f2934,plain,
! [X0] :
( ~ sQ213_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f824,f76]) ).
fof(f2935,plain,
! [X0] :
( ~ sQ213_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f824,f74]) ).
fof(f2936,plain,
! [X0] :
( ~ sQ213_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f824,f72]) ).
fof(f2937,plain,
( ~ sQ223_spl
| ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2933,f43]) ).
fof(f2938,plain,
( ~ sQ223_spl
| ~ sQ213_spl ),
inference(contradiction_clause,[status(thm)],[f2937]) ).
fof(f2939,plain,
( ~ sQ212_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f821,f86]) ).
fof(f2940,plain,
! [X0] :
( ~ sQ212_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f821,f76]) ).
fof(f2941,plain,
! [X0] :
( ~ sQ212_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f821,f74]) ).
fof(f2942,plain,
! [X0] :
( ~ sQ212_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f821,f72]) ).
fof(f2943,plain,
( ~ sQ212_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2939,f51]) ).
fof(f2944,plain,
~ sQ212_spl,
inference(contradiction_clause,[status(thm)],[f2943]) ).
fof(f2945,plain,
( ~ sQ211_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f818,f85]) ).
fof(f2946,plain,
! [X0] :
( ~ sQ211_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f818,f76]) ).
fof(f2947,plain,
! [X0] :
( ~ sQ211_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f818,f74]) ).
fof(f2948,plain,
! [X0] :
( ~ sQ211_spl
| equalish(e_2,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f818,f72]) ).
fof(f2949,plain,
( ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2945,f47]) ).
fof(f2950,plain,
~ sQ211_spl,
inference(contradiction_clause,[status(thm)],[f2949]) ).
fof(f2951,plain,
! [X0] :
( ~ sQ210_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f815,f76]) ).
fof(f2952,plain,
! [X0] :
( ~ sQ210_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f815,f74]) ).
fof(f2953,plain,
! [X0] :
( ~ sQ210_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f815,f72]) ).
fof(f2956,plain,
( ~ sQ208_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f808,f86]) ).
fof(f2957,plain,
! [X0] :
( ~ sQ208_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f808,f76]) ).
fof(f2958,plain,
! [X0] :
( ~ sQ208_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f808,f74]) ).
fof(f2959,plain,
! [X0] :
( ~ sQ208_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f808,f72]) ).
fof(f2962,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ207_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f805,f2202]) ).
fof(f2963,plain,
! [X0] :
( ~ sQ207_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f805,f76]) ).
fof(f2964,plain,
! [X0] :
( ~ sQ207_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f805,f74]) ).
fof(f2965,plain,
! [X0] :
( ~ sQ207_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f805,f72]) ).
fof(f2966,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ207_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2962,f60]) ).
fof(f2967,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f2966]) ).
fof(f2968,plain,
( ~ sQ210_spl
| ~ sQ135_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2329,f815]) ).
fof(f2969,plain,
( ~ sQ210_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2968,f59]) ).
fof(f2970,plain,
( ~ sQ210_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f2969]) ).
fof(f2971,plain,
( ~ sQ55_spl
| ~ sQ113_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1966,f634,f483,f288]) ).
fof(f2974,plain,
( ~ sQ160_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2614,f47]) ).
fof(f2975,plain,
( ~ sQ160_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2974]) ).
fof(f2997,plain,
( ~ sQ78_spl
| ~ sQ21_spl
| ~ sQ172_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2426,f1774]) ).
fof(f2998,plain,
( ~ sQ78_spl
| ~ sQ21_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2997,f53]) ).
fof(f2999,plain,
( ~ sQ78_spl
| ~ sQ21_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2998]) ).
fof(f3004,plain,
( ~ sQ206_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f802,f85]) ).
fof(f3005,plain,
! [X0] :
( ~ sQ206_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f802,f76]) ).
fof(f3006,plain,
! [X0] :
( ~ sQ206_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f802,f74]) ).
fof(f3007,plain,
! [X0] :
( ~ sQ206_spl
| equalish(e_2,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f802,f72]) ).
fof(f3010,plain,
( ~ sQ210_spl
| ~ sQ205_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f799,f2952]) ).
fof(f3011,plain,
! [X0] :
( ~ sQ205_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f799,f76]) ).
fof(f3012,plain,
! [X0] :
( ~ sQ205_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f799,f74]) ).
fof(f3013,plain,
! [X0] :
( ~ sQ205_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f799,f72]) ).
fof(f3014,plain,
( ~ sQ210_spl
| ~ sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3010,f52]) ).
fof(f3015,plain,
( ~ sQ210_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f3014]) ).
fof(f3016,plain,
( ~ sQ204_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f795,f86]) ).
fof(f3017,plain,
! [X0] :
( ~ sQ204_spl
| equalish(e_2,X0)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f795,f76]) ).
fof(f3018,plain,
! [X0] :
( ~ sQ204_spl
| equalish(e_5,X0)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f795,f74]) ).
fof(f3019,plain,
! [X0] :
( ~ sQ204_spl
| equalish(e_5,X0)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f795,f72]) ).
fof(f3020,plain,
( ~ sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3016,f59]) ).
fof(f3021,plain,
~ sQ204_spl,
inference(contradiction_clause,[status(thm)],[f3020]) ).
fof(f3022,plain,
! [X0] :
( ~ sQ203_spl
| equalish(e_2,X0)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f792,f76]) ).
fof(f3023,plain,
! [X0] :
( ~ sQ203_spl
| equalish(e_5,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f792,f74]) ).
fof(f3024,plain,
! [X0] :
( ~ sQ203_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f792,f72]) ).
fof(f3025,plain,
! [X0] :
( ~ sQ202_spl
| equalish(e_2,X0)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f789,f76]) ).
fof(f3026,plain,
! [X0] :
( ~ sQ202_spl
| equalish(e_5,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f789,f74]) ).
fof(f3027,plain,
! [X0] :
( ~ sQ202_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f789,f72]) ).
fof(f3028,plain,
( ~ sQ201_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f786,f85]) ).
fof(f3029,plain,
! [X0] :
( ~ sQ201_spl
| equalish(e_2,X0)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f786,f76]) ).
fof(f3030,plain,
! [X0] :
( ~ sQ201_spl
| equalish(e_5,X0)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f786,f74]) ).
fof(f3031,plain,
! [X0] :
( ~ sQ201_spl
| equalish(e_2,X0)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f786,f72]) ).
fof(f3032,plain,
( ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3028,f49]) ).
fof(f3033,plain,
~ sQ201_spl,
inference(contradiction_clause,[status(thm)],[f3032]) ).
fof(f3034,plain,
( ~ sQ210_spl
| ~ sQ200_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f783,f2952]) ).
fof(f3035,plain,
! [X0] :
( ~ sQ200_spl
| equalish(e_2,X0)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f783,f76]) ).
fof(f3036,plain,
! [X0] :
( ~ sQ200_spl
| equalish(e_5,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f783,f74]) ).
fof(f3037,plain,
! [X0] :
( ~ sQ200_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f783,f72]) ).
fof(f3038,plain,
( ~ sQ210_spl
| ~ sQ200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3034,f53]) ).
fof(f3039,plain,
( ~ sQ210_spl
| ~ sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f3038]) ).
fof(f3040,plain,
( ~ sQ249_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f944,f84]) ).
fof(f3041,plain,
! [X0] :
( ~ sQ249_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f944,f76]) ).
fof(f3042,plain,
! [X0] :
( ~ sQ249_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f944,f74]) ).
fof(f3043,plain,
! [X0] :
( ~ sQ249_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f944,f72]) ).
fof(f3044,plain,
( ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3040,f45]) ).
fof(f3045,plain,
~ sQ249_spl,
inference(contradiction_clause,[status(thm)],[f3044]) ).
fof(f3046,plain,
( ~ sQ248_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f941,f84]) ).
fof(f3047,plain,
! [X0] :
( ~ sQ248_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f941,f76]) ).
fof(f3048,plain,
! [X0] :
( ~ sQ248_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f941,f74]) ).
fof(f3049,plain,
! [X0] :
( ~ sQ248_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f941,f72]) ).
fof(f3050,plain,
( ~ sQ248_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3046,f44]) ).
fof(f3051,plain,
~ sQ248_spl,
inference(contradiction_clause,[status(thm)],[f3050]) ).
fof(f3061,plain,
( ~ sQ210_spl
| ~ sQ160_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2504,f815]) ).
fof(f3062,plain,
( ~ sQ210_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3061,f55]) ).
fof(f3063,plain,
( ~ sQ210_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f3062]) ).
fof(f3064,plain,
( ~ sQ106_spl
| ~ sQ35_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f2060,f823,f219,f461]) ).
fof(f3065,plain,
( ~ sQ136_spl
| ~ sQ109_spl
| ~ sQ35_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2061,f2328]) ).
fof(f3069,plain,
( ~ sQ136_spl
| ~ sQ109_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3065,f48]) ).
fof(f3070,plain,
( ~ sQ136_spl
| ~ sQ109_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3069]) ).
fof(f3087,plain,
( ~ sQ247_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f938,f84]) ).
fof(f3088,plain,
! [X0] :
( ~ sQ247_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f938,f76]) ).
fof(f3089,plain,
! [X0] :
( ~ sQ247_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f938,f74]) ).
fof(f3090,plain,
! [X0] :
( ~ sQ247_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f938,f72]) ).
fof(f3093,plain,
( ~ sQ246_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f935,f84]) ).
fof(f3094,plain,
! [X0] :
( ~ sQ246_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f935,f76]) ).
fof(f3095,plain,
! [X0] :
( ~ sQ246_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f935,f74]) ).
fof(f3096,plain,
! [X0] :
( ~ sQ246_spl
| equalish(e_2,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f935,f72]) ).
fof(f3097,plain,
( ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3093,f42]) ).
fof(f3098,plain,
~ sQ246_spl,
inference(contradiction_clause,[status(thm)],[f3097]) ).
fof(f3099,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ244_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f928,f1150]) ).
fof(f3100,plain,
! [X0] :
( ~ sQ244_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f928,f76]) ).
fof(f3101,plain,
! [X0] :
( ~ sQ244_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f928,f74]) ).
fof(f3102,plain,
! [X0] :
( ~ sQ244_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f928,f72]) ).
fof(f3103,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ244_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3099,f57]) ).
fof(f3104,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f3103]) ).
fof(f3105,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ242_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f922,f1150]) ).
fof(f3106,plain,
! [X0] :
( ~ sQ242_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f922,f76]) ).
fof(f3107,plain,
! [X0] :
( ~ sQ242_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f922,f74]) ).
fof(f3108,plain,
! [X0] :
( ~ sQ242_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f922,f72]) ).
fof(f3109,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3105,f56]) ).
fof(f3110,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f3109]) ).
fof(f3112,plain,
( ~ sQ241_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f919,f86]) ).
fof(f3113,plain,
! [X0] :
( ~ sQ241_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f919,f76]) ).
fof(f3114,plain,
! [X0] :
( ~ sQ241_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f919,f74]) ).
fof(f3115,plain,
! [X0] :
( ~ sQ241_spl
| equalish(e_2,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f919,f72]) ).
fof(f3119,plain,
( ~ sQ190_spl
| ~ sQ240_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f916,f2695]) ).
fof(f3120,plain,
( ~ sQ240_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f916,f85]) ).
fof(f3121,plain,
! [X0] :
( ~ sQ240_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f916,f76]) ).
fof(f3122,plain,
! [X0] :
( ~ sQ240_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f916,f74]) ).
fof(f3123,plain,
! [X0] :
( ~ sQ240_spl
| equalish(e_1,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f916,f72]) ).
fof(f3126,plain,
! [X0] :
( ~ sQ239_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f912,f76]) ).
fof(f3127,plain,
! [X0] :
( ~ sQ239_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f912,f74]) ).
fof(f3128,plain,
! [X0] :
( ~ sQ239_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f912,f72]) ).
fof(f3129,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ238_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f909,f1796]) ).
fof(f3130,plain,
( ~ sQ109_spl
| ~ sQ35_spl
| ~ sQ238_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f909,f2071]) ).
fof(f3131,plain,
! [X0] :
( ~ sQ238_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f909,f76]) ).
fof(f3132,plain,
! [X0] :
( ~ sQ238_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f909,f74]) ).
fof(f3133,plain,
! [X0] :
( ~ sQ238_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f909,f72]) ).
fof(f3134,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3129,f47]) ).
fof(f3135,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f3134]) ).
fof(f3136,plain,
( ~ sQ203_spl
| ~ sQ223_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2846,f792]) ).
fof(f3137,plain,
( ~ sQ203_spl
| ~ sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3136,f45]) ).
fof(f3138,plain,
( ~ sQ203_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f3137]) ).
fof(f3139,plain,
( ~ sQ109_spl
| ~ sQ35_spl
| ~ sQ148_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2150,f2061]) ).
fof(f3140,plain,
( ~ sQ109_spl
| ~ sQ35_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3139,f43]) ).
fof(f3141,plain,
( ~ sQ109_spl
| ~ sQ35_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f3140]) ).
fof(f3145,plain,
( ~ sQ239_spl
| ~ sQ164_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2486,f912]) ).
fof(f3146,plain,
( ~ sQ239_spl
| ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3145,f54]) ).
fof(f3147,plain,
( ~ sQ239_spl
| ~ sQ164_spl ),
inference(contradiction_clause,[status(thm)],[f3146]) ).
fof(f3148,plain,
( ~ sQ237_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f906,f86]) ).
fof(f3149,plain,
! [X0] :
( ~ sQ237_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f906,f76]) ).
fof(f3150,plain,
! [X0] :
( ~ sQ237_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f906,f74]) ).
fof(f3151,plain,
! [X0] :
( ~ sQ237_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f906,f72]) ).
fof(f3152,plain,
( ~ sQ237_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3148,f50]) ).
fof(f3153,plain,
~ sQ237_spl,
inference(contradiction_clause,[status(thm)],[f3152]) ).
fof(f3154,plain,
! [X0] :
( ~ sQ236_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f903,f76]) ).
fof(f3155,plain,
! [X0] :
( ~ sQ236_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f903,f74]) ).
fof(f3156,plain,
! [X0] :
( ~ sQ236_spl
| equalish(e_2,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f903,f72]) ).
fof(f3158,plain,
( ~ sQ235_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f900,f85]) ).
fof(f3159,plain,
! [X0] :
( ~ sQ235_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f900,f76]) ).
fof(f3160,plain,
! [X0] :
( ~ sQ235_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f900,f74]) ).
fof(f3161,plain,
! [X0] :
( ~ sQ235_spl
| equalish(e_1,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f900,f72]) ).
fof(f3164,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ234_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f896,f2200]) ).
fof(f3165,plain,
! [X0] :
( ~ sQ234_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f896,f76]) ).
fof(f3166,plain,
! [X0] :
( ~ sQ234_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f896,f74]) ).
fof(f3167,plain,
! [X0] :
( ~ sQ234_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f896,f72]) ).
fof(f3168,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3164,f46]) ).
fof(f3169,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ234_spl ),
inference(contradiction_clause,[status(thm)],[f3168]) ).
fof(f3171,plain,
( ~ sQ233_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f893,f86]) ).
fof(f3172,plain,
! [X0] :
( ~ sQ233_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f893,f76]) ).
fof(f3173,plain,
! [X0] :
( ~ sQ233_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f893,f74]) ).
fof(f3174,plain,
! [X0] :
( ~ sQ233_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f893,f72]) ).
fof(f3177,plain,
( ~ sQ132_spl
| ~ sQ232_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f890,f2346]) ).
fof(f3178,plain,
! [X0] :
( ~ sQ232_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f890,f76]) ).
fof(f3179,plain,
! [X0] :
( ~ sQ232_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f890,f74]) ).
fof(f3180,plain,
! [X0] :
( ~ sQ232_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f890,f72]) ).
fof(f3181,plain,
( ~ sQ132_spl
| ~ sQ232_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3177,f58]) ).
fof(f3182,plain,
( ~ sQ132_spl
| ~ sQ232_spl ),
inference(contradiction_clause,[status(thm)],[f3181]) ).
fof(f3183,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ231_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f887,f2033]) ).
fof(f3184,plain,
! [X0] :
( ~ sQ231_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f887,f76]) ).
fof(f3185,plain,
! [X0] :
( ~ sQ231_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f887,f74]) ).
fof(f3186,plain,
! [X0] :
( ~ sQ231_spl
| equalish(e_2,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f887,f72]) ).
fof(f3187,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3183,f50]) ).
fof(f3188,plain,
( ~ sQ117_spl
| ~ sQ80_spl
| ~ sQ231_spl ),
inference(contradiction_clause,[status(thm)],[f3187]) ).
fof(f3189,plain,
( ~ sQ230_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f884,f85]) ).
fof(f3190,plain,
! [X0] :
( ~ sQ230_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f884,f76]) ).
fof(f3191,plain,
! [X0] :
( ~ sQ230_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f884,f74]) ).
fof(f3192,plain,
! [X0] :
( ~ sQ230_spl
| equalish(e_1,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f884,f72]) ).
fof(f3193,plain,
( ~ sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3189,f44]) ).
fof(f3194,plain,
~ sQ230_spl,
inference(contradiction_clause,[status(thm)],[f3193]) ).
fof(f3195,plain,
( ~ sQ229_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f880,f86]) ).
fof(f3196,plain,
! [X0] :
( ~ sQ229_spl
| equalish(e_1,X0)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f880,f76]) ).
fof(f3197,plain,
! [X0] :
( ~ sQ229_spl
| equalish(e_5,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f880,f74]) ).
fof(f3198,plain,
! [X0] :
( ~ sQ229_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f880,f72]) ).
fof(f3199,plain,
( ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3195,f58]) ).
fof(f3200,plain,
~ sQ229_spl,
inference(contradiction_clause,[status(thm)],[f3199]) ).
fof(f3204,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ228_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f877,f1796]) ).
fof(f3205,plain,
! [X0] :
( ~ sQ228_spl
| equalish(e_1,X0)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f877,f76]) ).
fof(f3206,plain,
! [X0] :
( ~ sQ228_spl
| equalish(e_5,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f877,f74]) ).
fof(f3207,plain,
! [X0] :
( ~ sQ228_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f877,f72]) ).
fof(f3208,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3204,f49]) ).
fof(f3209,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| ~ sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f3208]) ).
fof(f3210,plain,
( ~ sQ232_spl
| ~ sQ227_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f874,f3179]) ).
fof(f3211,plain,
( ~ sQ202_spl
| ~ sQ227_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f874,f3025]) ).
fof(f3212,plain,
! [X0] :
( ~ sQ227_spl
| equalish(e_1,X0)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f874,f76]) ).
fof(f3213,plain,
! [X0] :
( ~ sQ227_spl
| equalish(e_5,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f874,f74]) ).
fof(f3214,plain,
! [X0] :
( ~ sQ227_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f874,f72]) ).
fof(f3215,plain,
( ~ sQ232_spl
| ~ sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3210,f57]) ).
fof(f3216,plain,
( ~ sQ232_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f3215]) ).
fof(f3217,plain,
( ~ sQ236_spl
| ~ sQ226_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f871,f3155]) ).
fof(f3218,plain,
( ~ sQ151_spl
| ~ sQ226_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f871,f2585]) ).
fof(f3219,plain,
! [X0] :
( ~ sQ226_spl
| equalish(e_1,X0)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f871,f76]) ).
fof(f3220,plain,
! [X0] :
( ~ sQ226_spl
| equalish(e_5,X0)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f871,f74]) ).
fof(f3221,plain,
! [X0] :
( ~ sQ226_spl
| equalish(e_2,X0)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f871,f72]) ).
fof(f3222,plain,
( ~ sQ236_spl
| ~ sQ226_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3217,f53]) ).
fof(f3223,plain,
( ~ sQ236_spl
| ~ sQ226_spl ),
inference(contradiction_clause,[status(thm)],[f3222]) ).
fof(f3225,plain,
( ~ sQ225_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f868,f85]) ).
fof(f3226,plain,
! [X0] :
( ~ sQ225_spl
| equalish(e_1,X0)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f868,f76]) ).
fof(f3227,plain,
! [X0] :
( ~ sQ225_spl
| equalish(e_5,X0)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f868,f74]) ).
fof(f3228,plain,
! [X0] :
( ~ sQ225_spl
| equalish(e_1,X0)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f868,f72]) ).
fof(f3231,plain,
( ~ sQ202_spl
| ~ sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3211,f46]) ).
fof(f3232,plain,
( ~ sQ202_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f3231]) ).
fof(f3233,plain,
( ~ sQ233_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3171,f54]) ).
fof(f3234,plain,
~ sQ233_spl,
inference(contradiction_clause,[status(thm)],[f3233]) ).
fof(f3235,plain,
( ~ sQ164_spl
| ~ sQ214_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2927,f55]) ).
fof(f3236,plain,
( ~ sQ164_spl
| ~ sQ214_spl ),
inference(contradiction_clause,[status(thm)],[f3235]) ).
fof(f3237,plain,
( ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3225,f45]) ).
fof(f3238,plain,
~ sQ225_spl,
inference(contradiction_clause,[status(thm)],[f3237]) ).
fof(f3239,plain,
( ~ sQ101_spl
| ~ sQ10_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2167,f826,f134,f445]) ).
fof(f3246,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2169,f76]) ).
fof(f3247,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2169,f74]) ).
fof(f3248,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2169,f72]) ).
fof(f3258,plain,
( ~ sQ85_spl
| ~ sQ117_spl
| product2(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f497,f1659]) ).
fof(f3262,plain,
( ~ sQ17_spl
| ~ sQ117_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f497,f1005]) ).
fof(f3268,plain,
( ~ sQ85_spl
| ~ sQ117_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f3258,f732,f496,f389]) ).
fof(f3269,plain,
( ~ sQ17_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3262,f58]) ).
fof(f3270,plain,
( ~ sQ17_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3269]) ).
fof(f3271,plain,
( ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3158,f43]) ).
fof(f3272,plain,
~ sQ235_spl,
inference(contradiction_clause,[status(thm)],[f3271]) ).
fof(f3273,plain,
( ~ sQ178_spl
| ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1767,f2790]) ).
fof(f3277,plain,
( ~ sQ178_spl
| ~ sQ80_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3273,f50]) ).
fof(f3278,plain,
( ~ sQ178_spl
| ~ sQ80_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3277]) ).
fof(f3279,plain,
( ~ sQ151_spl
| ~ sQ226_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3218,f54]) ).
fof(f3280,plain,
( ~ sQ151_spl
| ~ sQ226_spl ),
inference(contradiction_clause,[status(thm)],[f3279]) ).
fof(f3284,plain,
! [X0] :
( ~ sQ209_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f811,f76]) ).
fof(f3285,plain,
! [X0] :
( ~ sQ209_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f811,f74]) ).
fof(f3286,plain,
! [X0] :
( ~ sQ209_spl
| equalish(e_5,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f811,f72]) ).
fof(f3295,plain,
( ~ sQ117_spl
| ~ sQ102_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2129,f497]) ).
fof(f3296,plain,
( ~ sQ117_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3295,f59]) ).
fof(f3297,plain,
( ~ sQ117_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f3296]) ).
fof(f3298,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2333,f61]) ).
fof(f3299,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f3298]) ).
fof(f3300,plain,
( ~ sQ80_spl
| ~ sQ36_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1219,f374]) ).
fof(f3304,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ36_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3300,f76]) ).
fof(f3305,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ36_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3300,f74]) ).
fof(f3306,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ36_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3300,f72]) ).
fof(f3316,plain,
( ~ sQ80_spl
| ~ sQ36_spl
| ~ sQ213_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2934,f3300]) ).
fof(f3317,plain,
( ~ sQ80_spl
| ~ sQ36_spl
| ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3316,f46]) ).
fof(f3318,plain,
( ~ sQ80_spl
| ~ sQ36_spl
| ~ sQ213_spl ),
inference(contradiction_clause,[status(thm)],[f3317]) ).
fof(f3320,plain,
( ~ sQ117_spl
| ~ sQ73_spl
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f346,f1891]) ).
fof(f3327,plain,
( ~ sQ117_spl
| ~ sQ73_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f3320,f660,f345,f496]) ).
fof(f3328,plain,
( ~ sQ109_spl
| ~ sQ35_spl
| ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3130,f58]) ).
fof(f3329,plain,
( ~ sQ109_spl
| ~ sQ35_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f3328]) ).
fof(f3331,plain,
( ~ sQ111_spl
| ~ sQ97_spl
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f428,f1986]) ).
fof(f3333,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f428,f1116]) ).
fof(f3335,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f428,f68]) ).
fof(f3336,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,X0)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f428,f66]) ).
fof(f3337,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f428,f64]) ).
fof(f3339,plain,
( ~ sQ111_spl
| ~ sQ97_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f3331,f729,f427,f477]) ).
fof(f3340,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3333,f55]) ).
fof(f3341,plain,
( ~ sQ47_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3340]) ).
fof(f3342,plain,
( ~ sQ209_spl
| ~ sQ77_spl
| ~ sQ6_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1770,f3284]) ).
fof(f3346,plain,
( ~ sQ209_spl
| ~ sQ77_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3342,f47]) ).
fof(f3347,plain,
( ~ sQ209_spl
| ~ sQ77_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3346]) ).
fof(f3348,plain,
( ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2765,f56]) ).
fof(f3349,plain,
~ sQ183_spl,
inference(contradiction_clause,[status(thm)],[f3348]) ).
fof(f3350,plain,
( ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2772,f52]) ).
fof(f3351,plain,
~ sQ182_spl,
inference(contradiction_clause,[status(thm)],[f3350]) ).
fof(f3352,plain,
( ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3004,f48]) ).
fof(f3353,plain,
~ sQ206_spl,
inference(contradiction_clause,[status(thm)],[f3352]) ).
fof(f3357,plain,
( ~ sQ65_spl
| ~ sQ111_spl
| product2(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f478,f1384]) ).
fof(f3359,plain,
( ~ sQ101_spl
| ~ sQ111_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f478,f2133]) ).
fof(f3360,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f478,f2013]) ).
fof(f3362,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f478,f1216]) ).
fof(f3368,plain,
( ~ sQ65_spl
| ~ sQ111_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f3357,f836,f477,f320]) ).
fof(f3369,plain,
( ~ sQ101_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3359,f60]) ).
fof(f3370,plain,
( ~ sQ101_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3369]) ).
fof(f3371,plain,
( ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3087,f43]) ).
fof(f3372,plain,
~ sQ247_spl,
inference(contradiction_clause,[status(thm)],[f3371]) ).
fof(f3373,plain,
( ~ sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2742,f51]) ).
fof(f3374,plain,
~ sQ186_spl,
inference(contradiction_clause,[status(thm)],[f3373]) ).
fof(f3406,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ132_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2346,f2059]) ).
fof(f3407,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3406,f59]) ).
fof(f3408,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f3407]) ).
fof(f3409,plain,
( ~ sQ103_spl
| ~ sQ10_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f2169,f656,f134,f451]) ).
fof(f3410,plain,
( ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3112,f46]) ).
fof(f3411,plain,
~ sQ241_spl,
inference(contradiction_clause,[status(thm)],[f3410]) ).
fof(f3412,plain,
( ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3120,f42]) ).
fof(f3413,plain,
~ sQ240_spl,
inference(contradiction_clause,[status(thm)],[f3412]) ).
fof(f3417,plain,
! [X0] :
( ~ sQ243_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f925,f76]) ).
fof(f3418,plain,
! [X0] :
( ~ sQ243_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f925,f74]) ).
fof(f3419,plain,
! [X0] :
( ~ sQ243_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f925,f72]) ).
fof(f3420,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f585,f76]) ).
fof(f3421,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f585,f74]) ).
fof(f3422,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f585,f72]) ).
fof(f3426,plain,
( ~ sQ98_spl
| ~ sQ44_spl
| product2(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f248,f1536]) ).
fof(f3434,plain,
( ~ sQ3_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f112,f81]) ).
fof(f3435,plain,
( ~ sQ3_spl
| product2(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f112,f82]) ).
fof(f3436,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f112,f68]) ).
fof(f3437,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f112,f66]) ).
fof(f3438,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f112,f64]) ).
fof(f3439,plain,
! [X0] :
( ~ sQ3_spl
| product2(X0,e_5,e_5)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f112,f79]) ).
fof(f3440,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3434,f61]) ).
fof(f3441,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f3440]) ).
fof(f3442,plain,
( ~ sQ17_spl
| ~ sQ2_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f109,f1006]) ).
fof(f3443,plain,
( ~ sQ77_spl
| ~ sQ2_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f109,f1746]) ).
fof(f3444,plain,
( ~ sQ2_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f109,f81]) ).
fof(f3445,plain,
( ~ sQ2_spl
| product2(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f109,f82]) ).
fof(f3446,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f109,f68]) ).
fof(f3447,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f109,f66]) ).
fof(f3448,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f109,f64]) ).
fof(f3449,plain,
! [X0] :
( ~ sQ2_spl
| product2(X0,e_5,e_5)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f109,f79]) ).
fof(f3450,plain,
( ~ sQ17_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3442,f49]) ).
fof(f3451,plain,
( ~ sQ17_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f3450]) ).
fof(f3453,plain,
( ~ sQ101_spl
| ~ sQ1_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f106,f2132]) ).
fof(f3455,plain,
( ~ sQ1_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f106,f81]) ).
fof(f3456,plain,
( ~ sQ1_spl
| product2(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f106,f82]) ).
fof(f3457,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f106,f68]) ).
fof(f3458,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f66]) ).
fof(f3459,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f106,f64]) ).
fof(f3460,plain,
! [X0] :
( ~ sQ1_spl
| product2(X0,e_5,e_5)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f106,f79]) ).
fof(f3464,plain,
( ~ sQ0_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f103,f81]) ).
fof(f3465,plain,
( ~ sQ0_spl
| product2(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f103,f82]) ).
fof(f3466,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f103,f68]) ).
fof(f3467,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f103,f66]) ).
fof(f3468,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f103,f64]) ).
fof(f3469,plain,
! [X0] :
( ~ sQ0_spl
| product2(X0,e_5,e_5)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f103,f79]) ).
fof(f3472,plain,
( ~ sQ231_spl
| ~ sQ181_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f717,f3184]) ).
fof(f3473,plain,
! [X0] :
( ~ sQ181_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f717,f76]) ).
fof(f3474,plain,
! [X0] :
( ~ sQ181_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f717,f74]) ).
fof(f3475,plain,
! [X0] :
( ~ sQ181_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f717,f72]) ).
fof(f3476,plain,
( ~ sQ231_spl
| ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3472,f43]) ).
fof(f3477,plain,
( ~ sQ231_spl
| ~ sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f3476]) ).
fof(f3481,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_5,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3426,f76]) ).
fof(f3482,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_1,X0)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f3426,f74]) ).
fof(f3483,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_2,X0)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f3426,f72]) ).
fof(f3484,plain,
( ~ sQ143_spl
| ~ sQ193_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2677,f585]) ).
fof(f3485,plain,
( ~ sQ243_spl
| ~ sQ193_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2677,f925]) ).
fof(f3486,plain,
( ~ sQ143_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3484,f53]) ).
fof(f3487,plain,
( ~ sQ143_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f3486]) ).
fof(f3488,plain,
( ~ sQ143_spl
| ~ sQ138_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2289,f585]) ).
fof(f3489,plain,
( ~ sQ143_spl
| ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3488,f51]) ).
fof(f3490,plain,
( ~ sQ143_spl
| ~ sQ138_spl ),
inference(contradiction_clause,[status(thm)],[f3489]) ).
fof(f3491,plain,
( ~ sQ243_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3485,f50]) ).
fof(f3492,plain,
( ~ sQ243_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f3491]) ).
fof(f3493,plain,
( ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2864,f49]) ).
fof(f3494,plain,
~ sQ219_spl,
inference(contradiction_clause,[status(thm)],[f3493]) ).
fof(f3497,plain,
( ~ sQ44_spl
| ~ sQ119_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1880,f248]) ).
fof(f3498,plain,
( ~ sQ44_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3497,f44]) ).
fof(f3499,plain,
( ~ sQ44_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f3498]) ).
fof(f3500,plain,
( ~ sQ111_spl
| ~ sQ50_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f2058,f788,f272,f477]) ).
fof(f3501,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3464,f58]) ).
fof(f3502,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f3501]) ).
fof(f3505,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3455,f59]) ).
fof(f3506,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f3505]) ).
fof(f3516,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ82_spl
| equalish(e_3,X0)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1711,f76]) ).
fof(f3517,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ82_spl
| equalish(e_5,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1711,f74]) ).
fof(f3518,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ82_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1711,f72]) ).
fof(f3520,plain,
( ~ sQ243_spl
| ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2221,f925]) ).
fof(f3521,plain,
( ~ sQ243_spl
| ~ sQ109_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3520,f58]) ).
fof(f3522,plain,
( ~ sQ243_spl
| ~ sQ109_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3521]) ).
fof(f3528,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ242_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3108,f1582]) ).
fof(f3529,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3528,f53]) ).
fof(f3530,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f3529]) ).
fof(f3531,plain,
( ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2264,f59]) ).
fof(f3532,plain,
~ sQ144_spl,
inference(contradiction_clause,[status(thm)],[f3531]) ).
fof(f3546,plain,
( ~ sQ17_spl
| ~ sQ84_spl
| product2(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1663,f157]) ).
fof(f3547,plain,
( ~ sQ17_spl
| ~ sQ84_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f3546,f716,f385,f156]) ).
fof(f3560,plain,
( ~ sQ78_spl
| ~ sQ21_spl
| ~ sQ171_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2431,f1774]) ).
fof(f3561,plain,
( ~ sQ78_spl
| ~ sQ21_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3560,f49]) ).
fof(f3562,plain,
( ~ sQ78_spl
| ~ sQ21_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f3561]) ).
fof(f3565,plain,
( ~ sQ242_spl
| ~ sQ167_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f667,f3106]) ).
fof(f3570,plain,
( ~ sQ242_spl
| ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3565,f44]) ).
fof(f3571,plain,
( ~ sQ242_spl
| ~ sQ167_spl ),
inference(contradiction_clause,[status(thm)],[f3570]) ).
fof(f3573,plain,
( ~ sQ226_spl
| ~ sQ231_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f887,f3220]) ).
fof(f3579,plain,
( ~ sQ226_spl
| ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3573,f61]) ).
fof(f3580,plain,
( ~ sQ226_spl
| ~ sQ231_spl ),
inference(contradiction_clause,[status(thm)],[f3579]) ).
fof(f3587,plain,
( ~ sQ51_spl
| ~ sQ85_spl
| product2(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f390,f1522]) ).
fof(f3589,plain,
( ~ sQ56_spl
| ~ sQ85_spl
| product2(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f390,f1450]) ).
fof(f3596,plain,
( ~ sQ51_spl
| ~ sQ85_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f3587,f873,f389,f275]) ).
fof(f3597,plain,
( ~ sQ208_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2956,f55]) ).
fof(f3598,plain,
~ sQ208_spl,
inference(contradiction_clause,[status(thm)],[f3597]) ).
fof(f3601,plain,
( ~ sQ242_spl
| ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f3589,f3107]) ).
fof(f3603,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3589,f76]) ).
fof(f3604,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3589,f74]) ).
fof(f3605,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3589,f72]) ).
fof(f3606,plain,
( ~ sQ242_spl
| ~ sQ56_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3601,f48]) ).
fof(f3607,plain,
( ~ sQ242_spl
| ~ sQ56_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3606]) ).
fof(f3608,plain,
( sQ232_spl
| ~ sQ56_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f891,f3589]) ).
fof(f3609,plain,
( sQ232_spl
| ~ sQ56_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3608]) ).
fof(f3610,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3360,f56]) ).
fof(f3611,plain,
( ~ sQ106_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3610]) ).
fof(f3612,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3362,f54]) ).
fof(f3613,plain,
( ~ sQ36_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3612]) ).
fof(f3632,plain,
( ~ sQ23_spl
| ~ sQ98_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f431,f961]) ).
fof(f3638,plain,
( ~ sQ23_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3632,f59]) ).
fof(f3639,plain,
( ~ sQ23_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f3638]) ).
fof(f3658,plain,
( ~ sQ74_spl
| ~ sQ107_spl
| product2(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f2009,f349]) ).
fof(f3659,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ107_spl
| equalish(e_5,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f3658,f76]) ).
fof(f3660,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ107_spl
| equalish(e_4,X0)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f3658,f74]) ).
fof(f3661,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ107_spl
| equalish(e_1,X0)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f3658,f72]) ).
fof(f3669,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ243_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f3419,f1582]) ).
fof(f3670,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3669,f57]) ).
fof(f3671,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f3670]) ).
fof(f3672,plain,
( ~ sQ74_spl
| ~ sQ107_spl
| ~ sQ140_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2280,f3658]) ).
fof(f3673,plain,
( ~ sQ74_spl
| ~ sQ107_spl
| ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3672,f48]) ).
fof(f3674,plain,
( ~ sQ74_spl
| ~ sQ107_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f3673]) ).
fof(f3675,plain,
( sQ130_spl
| ~ sQ74_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f3658]) ).
fof(f3676,plain,
( sQ130_spl
| ~ sQ74_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3675]) ).
fof(f3683,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ199_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f774,f1782]) ).
fof(f3684,plain,
! [X0] :
( ~ sQ199_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f774,f76]) ).
fof(f3685,plain,
! [X0] :
( ~ sQ199_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f774,f74]) ).
fof(f3686,plain,
! [X0] :
( ~ sQ199_spl
| equalish(e_5,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f774,f72]) ).
fof(f3687,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3683,f54]) ).
fof(f3688,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f3687]) ).
fof(f3689,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ181_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f3475,f1770]) ).
fof(f3690,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3689,f49]) ).
fof(f3691,plain,
( ~ sQ77_spl
| ~ sQ6_spl
| ~ sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f3690]) ).
fof(f3692,plain,
( ~ sQ56_spl
| ~ sQ6_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1088,f292]) ).
fof(f3693,plain,
( ~ sQ56_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3692,f60]) ).
fof(f3694,plain,
( ~ sQ56_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3693]) ).
fof(f3695,plain,
( ~ sQ89_spl
| ~ sQ56_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1693,f549,f291,f401]) ).
fof(f3704,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ11_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1802,f72]) ).
fof(f3705,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2032,f76]) ).
fof(f3706,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2032,f74]) ).
fof(f3707,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2032,f72]) ).
fof(f3708,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| equalish(e_4,X0)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1967,f76]) ).
fof(f3709,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| equalish(e_5,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1967,f74]) ).
fof(f3710,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1967,f72]) ).
fof(f3719,plain,
( ~ sQ56_spl
| ~ sQ27_spl
| product2(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1290,f292]) ).
fof(f3720,plain,
( ~ sQ213_spl
| ~ sQ56_spl
| ~ sQ27_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3719,f2935]) ).
fof(f3721,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ27_spl
| equalish(e_2,X0)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f3719,f76]) ).
fof(f3722,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ27_spl
| equalish(e_5,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3719,f74]) ).
fof(f3723,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ27_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f3719,f72]) ).
fof(f3724,plain,
( ~ sQ213_spl
| ~ sQ56_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3720,f53]) ).
fof(f3725,plain,
( ~ sQ213_spl
| ~ sQ56_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3724]) ).
fof(f3726,plain,
( ~ sQ56_spl
| ~ sQ47_spl
| product2(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1119,f292]) ).
fof(f3727,plain,
( ~ sQ56_spl
| ~ sQ47_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f3726,f855,f257,f291]) ).
fof(f3735,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ150_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2590,f1967]) ).
fof(f3736,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3735,f43]) ).
fof(f3737,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ150_spl ),
inference(contradiction_clause,[status(thm)],[f3736]) ).
fof(f3738,plain,
( ~ sQ119_spl
| ~ sQ80_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1916,f546,f373,f502]) ).
fof(f3757,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ227_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f3214,f1767]) ).
fof(f3758,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3757,f52]) ).
fof(f3759,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f3758]) ).
fof(f3760,plain,
( ~ sQ190_spl
| ~ sQ180_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2780,f746]) ).
fof(f3761,plain,
( ~ sQ190_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3760,f55]) ).
fof(f3762,plain,
( ~ sQ190_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f3761]) ).
fof(f3769,plain,
( ~ sQ222_spl
| ~ sQ147_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2152,f853]) ).
fof(f3770,plain,
( ~ sQ222_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3769,f59]) ).
fof(f3771,plain,
( ~ sQ222_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f3770]) ).
fof(f3772,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ243_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f3417,f1425]) ).
fof(f3773,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3772,f45]) ).
fof(f3774,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f3773]) ).
fof(f3775,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ226_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f3221,f1767]) ).
fof(f3776,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ226_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3775,f48]) ).
fof(f3777,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ226_spl ),
inference(contradiction_clause,[status(thm)],[f3776]) ).
fof(f3784,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ238_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3132,f1767]) ).
fof(f3785,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3784,f53]) ).
fof(f3786,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f3785]) ).
fof(f3788,plain,
( ~ sQ26_spl
| ~ sQ46_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f255,f1297]) ).
fof(f3795,plain,
( ~ sQ26_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3788,f58]) ).
fof(f3796,plain,
( ~ sQ26_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f3795]) ).
fof(f3797,plain,
( ~ sQ26_spl
| ~ sQ82_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1711,f706,f379,f190]) ).
fof(f3801,plain,
( ~ sQ202_spl
| ~ sQ111_spl
| ~ sQ55_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2059,f3026]) ).
fof(f3802,plain,
( ~ sQ232_spl
| ~ sQ111_spl
| ~ sQ55_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2059,f3178]) ).
fof(f3803,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ55_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2059,f76]) ).
fof(f3804,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ55_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2059,f74]) ).
fof(f3805,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ55_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2059,f72]) ).
fof(f3806,plain,
( ~ sQ202_spl
| ~ sQ111_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3801,f61]) ).
fof(f3807,plain,
( ~ sQ202_spl
| ~ sQ111_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3806]) ).
fof(f3808,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ184_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2758,f47]) ).
fof(f3809,plain,
( ~ sQ101_spl
| ~ sQ5_spl
| ~ sQ184_spl ),
inference(contradiction_clause,[status(thm)],[f3808]) ).
fof(f3828,plain,
( ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ236_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f3156,f1302]) ).
fof(f3829,plain,
( ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3828,f49]) ).
fof(f3830,plain,
( ~ sQ13_spl
| ~ sQ25_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f3829]) ).
fof(f3831,plain,
( ~ sQ75_spl
| ~ sQ11_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f1802,f911,f137,f357]) ).
fof(f3832,plain,
( ~ sQ89_spl
| ~ sQ56_spl
| ~ sQ74_spl
| ~ sQ107_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3658,f1763]) ).
fof(f3833,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ107_spl
| equalish(e_5,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f3658,f76]) ).
fof(f3834,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ107_spl
| equalish(e_4,X0)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f3658,f74]) ).
fof(f3835,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ107_spl
| equalish(e_1,X0)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f3658,f72]) ).
fof(f3836,plain,
( ~ sQ89_spl
| ~ sQ56_spl
| ~ sQ74_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3832,f50]) ).
fof(f3837,plain,
( ~ sQ89_spl
| ~ sQ56_spl
| ~ sQ74_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3836]) ).
fof(f3846,plain,
( ~ sQ22_spl
| ~ sQ51_spl
| product2(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f276,f972]) ).
fof(f3854,plain,
( ~ sQ22_spl
| ~ sQ51_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f3846,f858,f275,f172]) ).
fof(f3865,plain,
( ~ sQ228_spl
| ~ sQ178_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2790,f877]) ).
fof(f3866,plain,
( ~ sQ228_spl
| ~ sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3865,f50]) ).
fof(f3867,plain,
( ~ sQ228_spl
| ~ sQ178_spl ),
inference(contradiction_clause,[status(thm)],[f3866]) ).
fof(f3868,plain,
( ~ sQ22_spl
| ~ sQ53_spl
| ~ sQ169_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2444,f1500]) ).
fof(f3869,plain,
( ~ sQ22_spl
| ~ sQ53_spl
| ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3868,f46]) ).
fof(f3870,plain,
( ~ sQ22_spl
| ~ sQ53_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f3869]) ).
fof(f3871,plain,
( ~ sQ56_spl
| ~ sQ27_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f3719,f791,f193,f291]) ).
fof(f3872,plain,
( ~ sQ22_spl
| ~ sQ53_spl
| ~ sQ199_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f3684,f1500]) ).
fof(f3873,plain,
( ~ sQ22_spl
| ~ sQ53_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3872,f52]) ).
fof(f3874,plain,
( ~ sQ22_spl
| ~ sQ53_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f3873]) ).
fof(f3882,plain,
( ~ sQ89_spl
| ~ sQ18_spl
| product2(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f160,f1636]) ).
fof(f3890,plain,
( ~ sQ39_spl
| ~ sQ5_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f119,f1197]) ).
fof(f3904,plain,
( ~ sQ136_spl
| ~ sQ89_spl
| ~ sQ18_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f3882,f2326]) ).
fof(f3908,plain,
( ~ sQ136_spl
| ~ sQ89_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3904,f61]) ).
fof(f3909,plain,
( ~ sQ136_spl
| ~ sQ89_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3908]) ).
fof(f3910,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3890,f76]) ).
fof(f3911,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3890,f74]) ).
fof(f3912,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3890,f72]) ).
fof(f3916,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1728,f119]) ).
fof(f3917,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3916,f49]) ).
fof(f3918,plain,
( ~ sQ5_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f3917]) ).
fof(f3919,plain,
( ~ sQ98_spl
| ~ sQ44_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f3426,f594,f247,f430]) ).
fof(f3920,plain,
( ~ sQ109_spl
| ~ sQ35_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f2061,f568,f219,f470]) ).
fof(f3934,plain,
( ~ sQ47_spl
| ~ sQ56_spl
| product2(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f292,f1119]) ).
fof(f3942,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ56_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f3934,f76]) ).
fof(f3943,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ56_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3934,f74]) ).
fof(f3944,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ56_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f3934,f72]) ).
fof(f3950,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f364,f1714]) ).
fof(f3952,plain,
( ~ sQ102_spl
| ~ sQ77_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f364,f2128]) ).
fof(f3958,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3950,f57]) ).
fof(f3959,plain,
( ~ sQ82_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f3958]) ).
fof(f3960,plain,
( ~ sQ39_spl
| ~ sQ5_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f3890,f908,f118,f231]) ).
fof(f3962,plain,
( ~ sQ161_spl
| ~ sQ171_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f680,f2502]) ).
fof(f3965,plain,
! [X0] :
( ~ sQ171_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f680,f76]) ).
fof(f3966,plain,
! [X0] :
( ~ sQ171_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f680,f74]) ).
fof(f3967,plain,
! [X0] :
( ~ sQ171_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f680,f72]) ).
fof(f3968,plain,
( ~ sQ161_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3962,f50]) ).
fof(f3969,plain,
( ~ sQ161_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f3968]) ).
fof(f3973,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2032,f76]) ).
fof(f3974,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2032,f74]) ).
fof(f3975,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ40_spl
| equalish(e_4,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2032,f72]) ).
fof(f3982,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ18_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3882,f76]) ).
fof(f3983,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3882,f74]) ).
fof(f3984,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ18_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f3882,f72]) ).
fof(f3991,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1197,f119]) ).
fof(f3992,plain,
( ~ sQ239_spl
| ~ sQ5_spl
| ~ sQ39_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f3991,f3128]) ).
fof(f3993,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ39_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3991,f76]) ).
fof(f3994,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ39_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f3991,f74]) ).
fof(f3995,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ39_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3991,f72]) ).
fof(f3996,plain,
( ~ sQ239_spl
| ~ sQ5_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3992,f61]) ).
fof(f3997,plain,
( ~ sQ239_spl
| ~ sQ5_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f3996]) ).
fof(f3998,plain,
( ~ sQ13_spl
| ~ sQ25_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f1302,f911,f187,f143]) ).
fof(f3999,plain,
( sQ161_spl
| ~ sQ89_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f3882]) ).
fof(f4000,plain,
( sQ161_spl
| ~ sQ89_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3999]) ).
fof(f4002,plain,
( ~ sQ56_spl
| ~ sQ27_spl
| product2(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1290,f292]) ).
fof(f4021,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1520,f292]) ).
fof(f4022,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4021,f61]) ).
fof(f4023,plain,
( ~ sQ56_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4022]) ).
fof(f4034,plain,
( ~ sQ117_spl
| ~ sQ74_spl
| product2(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f349,f1891]) ).
fof(f4042,plain,
( ~ sQ35_spl
| ~ sQ109_spl
| product2(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f471,f1224]) ).
fof(f4050,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4034,f76]) ).
fof(f4051,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f4034,f74]) ).
fof(f4052,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_1,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f4034,f72]) ).
fof(f4071,plain,
( ~ sQ74_spl
| ~ sQ99_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1529,f349]) ).
fof(f4072,plain,
( ~ sQ74_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4071,f47]) ).
fof(f4073,plain,
( ~ sQ74_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f4072]) ).
fof(f4075,plain,
( ~ sQ56_spl
| ~ sQ89_spl
| product2(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f402,f1450]) ).
fof(f4076,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f402,f1530]) ).
fof(f4083,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4076,f43]) ).
fof(f4084,plain,
( ~ sQ99_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f4083]) ).
fof(f4094,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_5,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f550,f76]) ).
fof(f4095,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_4,X0)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f550,f74]) ).
fof(f4096,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_3,X0)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f550,f72]) ).
fof(f4103,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4034,f76]) ).
fof(f4104,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f4034,f74]) ).
fof(f4105,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_1,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f4034,f72]) ).
fof(f4109,plain,
( ~ sQ132_spl
| ~ sQ207_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2963,f550]) ).
fof(f4110,plain,
( ~ sQ132_spl
| ~ sQ207_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4109,f49]) ).
fof(f4111,plain,
( ~ sQ132_spl
| ~ sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f4110]) ).
fof(f4120,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f144,f1319]) ).
fof(f4128,plain,
( ~ sQ98_spl
| ~ sQ44_spl
| product2(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f248,f1536]) ).
fof(f4139,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f4120,f76]) ).
fof(f4140,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f4120,f74]) ).
fof(f4141,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f4120,f72]) ).
fof(f4142,plain,
( ~ sQ68_spl
| ~ sQ35_spl
| product2(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f220,f1349]) ).
fof(f4153,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ35_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f4142,f76]) ).
fof(f4154,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ35_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f4142,f74]) ).
fof(f4155,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ35_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f4142,f72]) ).
fof(f4177,plain,
( ~ sQ7_spl
| ~ sQ50_spl
| product2(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f273,f1084]) ).
fof(f4186,plain,
( ~ sQ209_spl
| ~ sQ7_spl
| ~ sQ50_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f4177,f3284]) ).
fof(f4188,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ50_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4177,f76]) ).
fof(f4189,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ50_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f4177,f74]) ).
fof(f4190,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ50_spl
| equalish(e_5,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f4177,f72]) ).
fof(f4191,plain,
( ~ sQ209_spl
| ~ sQ7_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4186,f46]) ).
fof(f4192,plain,
( ~ sQ209_spl
| ~ sQ7_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4191]) ).
fof(f4193,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3589,f76]) ).
fof(f4194,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f3589,f74]) ).
fof(f4195,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3589,f72]) ).
fof(f4196,plain,
( ~ sQ35_spl
| ~ sQ73_spl
| product2(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1323,f220]) ).
fof(f4197,plain,
( ~ sQ35_spl
| ~ sQ73_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f4196,f937,f345,f219]) ).
fof(f4198,plain,
( ~ sQ68_spl
| ~ sQ35_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4142,f921,f219,f329]) ).
fof(f4201,plain,
( ~ sQ35_spl
| ~ sQ68_spl
| product2(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1349,f220]) ).
fof(f4211,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_5,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4034,f76]) ).
fof(f4212,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_2,X0)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f4034,f74]) ).
fof(f4213,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_1,X0)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f4034,f72]) ).
fof(f4262,plain,
( ~ sQ117_spl
| ~ sQ74_spl
| ~ sQ190_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2695,f4034]) ).
fof(f4263,plain,
( ~ sQ117_spl
| ~ sQ74_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4262,f53]) ).
fof(f4264,plain,
( ~ sQ117_spl
| ~ sQ74_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f4263]) ).
fof(f4266,plain,
( ~ sQ13_spl
| ~ sQ26_spl
| product2(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f191,f1038]) ).
fof(f4274,plain,
( ~ sQ50_spl
| ~ sQ111_spl
| product2(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f478,f1528]) ).
fof(f4281,plain,
( ~ sQ89_spl
| ~ sQ15_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f151,f1636]) ).
fof(f4289,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ26_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4266,f76]) ).
fof(f4290,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ26_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f4266,f74]) ).
fof(f4291,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ26_spl
| equalish(e_5,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f4266,f72]) ).
fof(f4298,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ15_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f4281,f76]) ).
fof(f4299,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ15_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f4281,f74]) ).
fof(f4300,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ15_spl
| equalish(e_2,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f4281,f72]) ).
fof(f4312,plain,
( ~ sQ44_spl
| ~ sQ7_spl
| product2(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f125,f1134]) ).
fof(f4319,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ7_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4312,f76]) ).
fof(f4320,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ7_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f4312,f74]) ).
fof(f4321,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ7_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f4312,f72]) ).
fof(f4350,plain,
( ~ sQ109_spl
| ~ sQ21_spl
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f170,f1997]) ).
fof(f4360,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ21_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4350,f76]) ).
fof(f4361,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ21_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4350,f74]) ).
fof(f4362,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ21_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4350,f72]) ).
fof(f4388,plain,
( ~ sQ111_spl
| ~ sQ98_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f431,f1986]) ).
fof(f4398,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ98_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f4388,f76]) ).
fof(f4399,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ98_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f4388,f74]) ).
fof(f4400,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ98_spl
| equalish(e_1,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f4388,f72]) ).
fof(f4408,plain,
( ~ sQ77_spl
| ~ sQ68_spl
| product2(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f330,f1749]) ).
fof(f4416,plain,
( ~ sQ15_spl
| ~ sQ103_spl
| product2(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f452,f1024]) ).
fof(f4432,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ103_spl
| equalish(e_4,X0)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4416,f76]) ).
fof(f4433,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ103_spl
| equalish(e_2,X0)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f4416,f74]) ).
fof(f4434,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ103_spl
| equalish(e_5,X0)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f4416,f72]) ).
fof(f4436,plain,
( ~ sQ103_spl
| ~ sQ47_spl
| product2(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f258,f2127]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| ~ sQ48_spl
| sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| ~ 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
| sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| ~ sQ102_spl
| sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| ~ 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
| ~ sQ131_spl
| sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| ~ sQ136_spl
| ~ sQ137_spl
| sQ138_spl
| ~ sQ139_spl
| sQ140_spl
| ~ sQ141_spl
| ~ sQ143_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
| 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
| ~ sQ195_spl
| ~ sQ196_spl
| ~ sQ197_spl
| ~ sQ198_spl
| sQ199_spl
| ~ sQ201_spl
| sQ202_spl
| ~ sQ203_spl
| ~ sQ204_spl
| sQ205_spl
| ~ sQ206_spl
| ~ sQ207_spl
| ~ sQ208_spl
| ~ sQ209_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
| ~ sQ225_spl
| ~ sQ226_spl
| ~ sQ227_spl
| sQ228_spl
| ~ sQ229_spl
| ~ sQ230_spl
| ~ sQ231_spl
| ~ sQ232_spl
| ~ sQ233_spl
| sQ234_spl
| ~ sQ235_spl
| sQ236_spl
| ~ sQ237_spl
| ~ sQ238_spl
| ~ sQ240_spl
| ~ sQ241_spl
| sQ242_spl
| ~ sQ243_spl
| sQ245_spl
| ~ sQ246_spl
| ~ sQ247_spl
| ~ sQ248_spl
| ~ sQ249_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP124-6.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n020.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sun Sep 20 20:00:02 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 2.89/1.02 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 2.89/1.02 % SZS output start Saturation for theBenchmark
% See solution above
% 3.49/1.10 % Elapsed time: 0.635379 seconds
% 3.49/1.10 % CPU time: 4.256989 seconds
% 3.49/1.10 % Total memory used: 50.302 MB
% 3.49/1.10 % Net memory used: 48.050 MB
%------------------------------------------------------------------------------