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Drodi-SAT---4.1.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GRP124-7.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.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 12:35:48 PM UTC 2026

% Result   : Satisfiable 0.12s 0.73s
% Output   : Saturation 0.53s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    next(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    next(e_2,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    next(e_3,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    next(e_4,e_5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    greater(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    greater(e_3,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    greater(e_4,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    greater(e_5,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    greater(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    greater(e_4,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    greater(e_5,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    greater(e_4,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    greater(e_5,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    greater(e_5,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X,Y,X1] :
      ( ~ greater(Y,X1)
      | ~ next(X,X1)
      | ~ product(X,e_1,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    group_element(e_5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ~ equalish(e_1,e_5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ~ equalish(e_2,e_5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    ~ equalish(e_3,e_5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    ~ equalish(e_4,e_5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ~ equalish(e_5,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    ~ equalish(e_5,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ~ equalish(e_5,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ~ equalish(e_5,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f41,axiom,
    ! [X,Y] :
      ( product1(X,Y,e_5)
      | product1(X,Y,e_4)
      | product1(X,Y,e_3)
      | product1(X,Y,e_2)
      | product1(X,Y,e_1)
      | ~ group_element(Y)
      | ~ group_element(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f42,axiom,
    ! [X,Y,W,Z] :
      ( equalish(W,Z)
      | ~ product1(X,Y,Z)
      | ~ product1(X,Y,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ! [X,W,Y,Z] :
      ( equalish(W,Z)
      | ~ product1(X,Z,Y)
      | ~ product1(X,W,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44,axiom,
    ! [W,Y,X,Z] :
      ( equalish(W,Z)
      | ~ product1(Z,Y,X)
      | ~ product1(W,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    ! [X] : product1(X,X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,axiom,
    ! [X,Y] :
      ( product2(X,Y,e_5)
      | product2(X,Y,e_4)
      | product2(X,Y,e_3)
      | product2(X,Y,e_2)
      | product2(X,Y,e_1)
      | ~ group_element(Y)
      | ~ group_element(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,axiom,
    ! [X,Y,W,Z] :
      ( equalish(W,Z)
      | ~ product2(X,Y,Z)
      | ~ product2(X,Y,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f48,axiom,
    ! [X,W,Y,Z] :
      ( equalish(W,Z)
      | ~ product2(X,Z,Y)
      | ~ product2(X,W,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f49,axiom,
    ! [W,Y,X,Z] :
      ( equalish(W,Z)
      | ~ product2(Z,Y,X)
      | ~ product2(W,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f50,axiom,
    ! [X] : product2(X,X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f51,negated_conjecture,
    ! [X,Y,Z1,Z2] :
      ( product2(Z2,Y,X)
      | ~ product1(Z1,X,Z2)
      | ~ product1(X,Y,Z1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f52,plain,
    next(e_1,e_2),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f53,plain,
    next(e_2,e_3),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f54,plain,
    next(e_3,e_4),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f55,plain,
    next(e_4,e_5),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f56,plain,
    greater(e_2,e_1),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f57,plain,
    greater(e_3,e_1),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f58,plain,
    greater(e_4,e_1),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f59,plain,
    greater(e_5,e_1),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f60,plain,
    greater(e_3,e_2),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f61,plain,
    greater(e_4,e_2),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f62,plain,
    greater(e_5,e_2),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f63,plain,
    greater(e_4,e_3),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f64,plain,
    greater(e_5,e_3),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f65,plain,
    greater(e_5,e_4),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f66,plain,
    ! [Y,X1] :
      ( ~ greater(Y,X1)
      | ! [X] :
          ( ~ next(X,X1)
          | ~ product(X,e_1,Y) ) ),
    inference(miniscoping,[status(thm)],[f15]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X1,X2)
      | ~ next(X0,X2)
      | ~ product(X0,e_1,X1) ),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f68,plain,
    group_element(e_1),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f69,plain,
    group_element(e_2),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f70,plain,
    group_element(e_3),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f71,plain,
    group_element(e_4),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f72,plain,
    group_element(e_5),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f73,plain,
    ~ equalish(e_1,e_2),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f74,plain,
    ~ equalish(e_1,e_3),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f75,plain,
    ~ equalish(e_1,e_4),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f76,plain,
    ~ equalish(e_1,e_5),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f77,plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f78,plain,
    ~ equalish(e_2,e_3),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f79,plain,
    ~ equalish(e_2,e_4),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f80,plain,
    ~ equalish(e_2,e_5),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f81,plain,
    ~ equalish(e_3,e_1),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f82,plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f83,plain,
    ~ equalish(e_3,e_4),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f84,plain,
    ~ equalish(e_3,e_5),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f85,plain,
    ~ equalish(e_4,e_1),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f86,plain,
    ~ equalish(e_4,e_2),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f87,plain,
    ~ equalish(e_4,e_3),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f88,plain,
    ~ equalish(e_4,e_5),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f89,plain,
    ~ equalish(e_5,e_1),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f90,plain,
    ~ equalish(e_5,e_2),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f91,plain,
    ~ equalish(e_5,e_3),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f92,plain,
    ~ equalish(e_5,e_4),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f93,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)],[f41]) ).

fof(f94,plain,
    ! [W,Z] :
      ( equalish(W,Z)
      | ! [X,Y] :
          ( ~ product1(X,Y,Z)
          | ~ product1(X,Y,W) ) ),
    inference(miniscoping,[status(thm)],[f42]) ).

fof(f95,plain,
    ! [X0,X1,X2,X3] :
      ( equalish(X2,X3)
      | ~ product1(X0,X1,X3)
      | ~ product1(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f96,plain,
    ! [W,Z] :
      ( equalish(W,Z)
      | ! [X,Y] :
          ( ~ product1(X,Z,Y)
          | ~ product1(X,W,Y) ) ),
    inference(miniscoping,[status(thm)],[f43]) ).

fof(f97,plain,
    ! [X0,X1,X2,X3] :
      ( equalish(X1,X3)
      | ~ product1(X0,X3,X2)
      | ~ product1(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f96]) ).

fof(f98,plain,
    ! [W,Z] :
      ( equalish(W,Z)
      | ! [Y,X] :
          ( ~ product1(Z,Y,X)
          | ~ product1(W,Y,X) ) ),
    inference(miniscoping,[status(thm)],[f44]) ).

fof(f99,plain,
    ! [X0,X1,X2,X3] :
      ( equalish(X0,X3)
      | ~ product1(X3,X1,X2)
      | ~ product1(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f100,plain,
    ! [X0] : product1(X0,X0,X0),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f101,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)],[f46]) ).

fof(f102,plain,
    ! [W,Z] :
      ( equalish(W,Z)
      | ! [X,Y] :
          ( ~ product2(X,Y,Z)
          | ~ product2(X,Y,W) ) ),
    inference(miniscoping,[status(thm)],[f47]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( equalish(X2,X3)
      | ~ product2(X0,X1,X3)
      | ~ product2(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f102]) ).

fof(f104,plain,
    ! [W,Z] :
      ( equalish(W,Z)
      | ! [X,Y] :
          ( ~ product2(X,Z,Y)
          | ~ product2(X,W,Y) ) ),
    inference(miniscoping,[status(thm)],[f48]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3] :
      ( equalish(X1,X3)
      | ~ product2(X0,X3,X2)
      | ~ product2(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f104]) ).

fof(f106,plain,
    ! [W,Z] :
      ( equalish(W,Z)
      | ! [Y,X] :
          ( ~ product2(Z,Y,X)
          | ~ product2(W,Y,X) ) ),
    inference(miniscoping,[status(thm)],[f49]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( equalish(X0,X3)
      | ~ product2(X3,X1,X2)
      | ~ product2(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f108,plain,
    ! [X0] : product2(X0,X0,X0),
    inference(cnf_transformation,[status(thm)],[f50]) ).

fof(f109,plain,
    ! [X,Y,Z2] :
      ( product2(Z2,Y,X)
      | ! [Z1] :
          ( ~ product1(Z1,X,Z2)
          | ~ product1(X,Y,Z1) ) ),
    inference(miniscoping,[status(thm)],[f51]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
      ( product2(X3,X1,X0)
      | ~ product1(X2,X0,X3)
      | ~ product1(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f109]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ product1(X0,X1,X0) ),
    inference(resolution,[status(thm)],[f100,f97]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ product1(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f100,f95]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( product2(X1,X0,X0)
      | ~ product1(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f100,f110]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( equalish(X1,X0)
      | ~ product1(X0,X1,X1) ),
    inference(resolution,[status(thm)],[f99,f100]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ product2(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f103,f108]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ product2(X0,X1,X0) ),
    inference(resolution,[status(thm)],[f105,f108]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( equalish(X1,X0)
      | ~ product2(X0,X1,X1) ),
    inference(resolution,[status(thm)],[f107,f108]) ).

fof(f118,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)],[f93,f70]) ).

fof(f119,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)],[f93,f69]) ).

fof(f120,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)],[f93,f68]) ).

fof(f121,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)],[f101,f70]) ).

fof(f122,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)],[f101,f69]) ).

fof(f123,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)],[f101,f68]) ).

fof(f124,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)],[f118,f70]) ).

fof(f125,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)],[f118,f69]) ).

fof(f126,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)],[f118,f68]) ).

fof(f127,definition,
    ( sQ0_spl
  <=> product1(e_3,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f128,plain,
    ( ~ sQ0_spl
    | product1(e_3,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f127]) ).

fof(f129,plain,
    ( sQ0_spl
    | ~ product1(e_3,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f127]) ).

fof(f130,definition,
    ( sQ1_spl
  <=> product1(e_3,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f131,plain,
    ( ~ sQ1_spl
    | product1(e_3,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f130]) ).

fof(f132,plain,
    ( sQ1_spl
    | ~ product1(e_3,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f130]) ).

fof(f133,definition,
    ( sQ2_spl
  <=> product1(e_3,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f136,definition,
    ( sQ3_spl
  <=> product1(e_3,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f137,plain,
    ( ~ sQ3_spl
    | product1(e_3,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f136]) ).

fof(f138,plain,
    ( sQ3_spl
    | ~ product1(e_3,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f136]) ).

fof(f139,definition,
    ( sQ4_spl
  <=> product1(e_3,e_3,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f140,plain,
    ( ~ sQ4_spl
    | product1(e_3,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f139]) ).

fof(f141,plain,
    ( sQ4_spl
    | ~ product1(e_3,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f139]) ).

fof(f142,plain,
    ( sQ4_spl
    | sQ3_spl
    | sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f124,f127,f130,f133,f136,f139]) ).

fof(f143,definition,
    ( sQ5_spl
  <=> product1(e_3,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f144,plain,
    ( ~ sQ5_spl
    | product1(e_3,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f143]) ).

fof(f145,plain,
    ( sQ5_spl
    | ~ product1(e_3,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f143]) ).

fof(f146,definition,
    ( sQ6_spl
  <=> product1(e_3,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f147,plain,
    ( ~ sQ6_spl
    | product1(e_3,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f146]) ).

fof(f148,plain,
    ( sQ6_spl
    | ~ product1(e_3,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f146]) ).

fof(f149,definition,
    ( sQ7_spl
  <=> product1(e_3,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f150,plain,
    ( ~ sQ7_spl
    | product1(e_3,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f149]) ).

fof(f151,plain,
    ( sQ7_spl
    | ~ product1(e_3,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f149]) ).

fof(f152,definition,
    ( sQ8_spl
  <=> product1(e_3,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f153,plain,
    ( ~ sQ8_spl
    | product1(e_3,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f152]) ).

fof(f154,plain,
    ( sQ8_spl
    | ~ product1(e_3,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f152]) ).

fof(f155,definition,
    ( sQ9_spl
  <=> product1(e_3,e_2,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f156,plain,
    ( ~ sQ9_spl
    | product1(e_3,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f155]) ).

fof(f157,plain,
    ( sQ9_spl
    | ~ product1(e_3,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f155]) ).

fof(f158,plain,
    ( sQ9_spl
    | sQ8_spl
    | sQ7_spl
    | sQ6_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f125,f143,f146,f149,f152,f155]) ).

fof(f159,definition,
    ( sQ10_spl
  <=> product1(e_3,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f160,plain,
    ( ~ sQ10_spl
    | product1(e_3,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f159]) ).

fof(f161,plain,
    ( sQ10_spl
    | ~ product1(e_3,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f159]) ).

fof(f162,definition,
    ( sQ11_spl
  <=> product1(e_3,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f163,plain,
    ( ~ sQ11_spl
    | product1(e_3,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f162]) ).

fof(f164,plain,
    ( sQ11_spl
    | ~ product1(e_3,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f162]) ).

fof(f165,definition,
    ( sQ12_spl
  <=> product1(e_3,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f166,plain,
    ( ~ sQ12_spl
    | product1(e_3,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f165]) ).

fof(f167,plain,
    ( sQ12_spl
    | ~ product1(e_3,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f165]) ).

fof(f168,definition,
    ( sQ13_spl
  <=> product1(e_3,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f169,plain,
    ( ~ sQ13_spl
    | product1(e_3,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f168]) ).

fof(f170,plain,
    ( sQ13_spl
    | ~ product1(e_3,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f168]) ).

fof(f171,definition,
    ( sQ14_spl
  <=> product1(e_3,e_1,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f172,plain,
    ( ~ sQ14_spl
    | product1(e_3,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f171]) ).

fof(f173,plain,
    ( sQ14_spl
    | ~ product1(e_3,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f171]) ).

fof(f174,plain,
    ( sQ14_spl
    | sQ13_spl
    | sQ12_spl
    | sQ11_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f126,f159,f162,f165,f168,f171]) ).

fof(f175,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)],[f119,f70]) ).

fof(f176,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)],[f119,f69]) ).

fof(f177,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)],[f119,f68]) ).

fof(f178,definition,
    ( sQ15_spl
  <=> product1(e_2,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f179,plain,
    ( ~ sQ15_spl
    | product1(e_2,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f178]) ).

fof(f180,plain,
    ( sQ15_spl
    | ~ product1(e_2,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f178]) ).

fof(f181,definition,
    ( sQ16_spl
  <=> product1(e_2,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f182,plain,
    ( ~ sQ16_spl
    | product1(e_2,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f181]) ).

fof(f183,plain,
    ( sQ16_spl
    | ~ product1(e_2,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f181]) ).

fof(f184,definition,
    ( sQ17_spl
  <=> product1(e_2,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f185,plain,
    ( ~ sQ17_spl
    | product1(e_2,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f184]) ).

fof(f186,plain,
    ( sQ17_spl
    | ~ product1(e_2,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f184]) ).

fof(f187,definition,
    ( sQ18_spl
  <=> product1(e_2,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f188,plain,
    ( ~ sQ18_spl
    | product1(e_2,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f187]) ).

fof(f189,plain,
    ( sQ18_spl
    | ~ product1(e_2,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f187]) ).

fof(f190,definition,
    ( sQ19_spl
  <=> product1(e_2,e_3,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f191,plain,
    ( ~ sQ19_spl
    | product1(e_2,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f190]) ).

fof(f192,plain,
    ( sQ19_spl
    | ~ product1(e_2,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f190]) ).

fof(f193,plain,
    ( sQ19_spl
    | sQ18_spl
    | sQ17_spl
    | sQ16_spl
    | sQ15_spl ),
    inference(split_clause,[status(thm)],[f175,f178,f181,f184,f187,f190]) ).

fof(f194,definition,
    ( sQ20_spl
  <=> product1(e_2,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f195,plain,
    ( ~ sQ20_spl
    | product1(e_2,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f194]) ).

fof(f196,plain,
    ( sQ20_spl
    | ~ product1(e_2,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f194]) ).

fof(f197,definition,
    ( sQ21_spl
  <=> product1(e_2,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f200,definition,
    ( sQ22_spl
  <=> product1(e_2,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f201,plain,
    ( ~ sQ22_spl
    | product1(e_2,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f200]) ).

fof(f202,plain,
    ( sQ22_spl
    | ~ product1(e_2,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f200]) ).

fof(f203,definition,
    ( sQ23_spl
  <=> product1(e_2,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f204,plain,
    ( ~ sQ23_spl
    | product1(e_2,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f203]) ).

fof(f205,plain,
    ( sQ23_spl
    | ~ product1(e_2,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f203]) ).

fof(f206,definition,
    ( sQ24_spl
  <=> product1(e_2,e_2,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f207,plain,
    ( ~ sQ24_spl
    | product1(e_2,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f206]) ).

fof(f208,plain,
    ( sQ24_spl
    | ~ product1(e_2,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f206]) ).

fof(f209,plain,
    ( sQ24_spl
    | sQ23_spl
    | sQ22_spl
    | sQ21_spl
    | sQ20_spl ),
    inference(split_clause,[status(thm)],[f176,f194,f197,f200,f203,f206]) ).

fof(f210,definition,
    ( sQ25_spl
  <=> product1(e_2,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f211,plain,
    ( ~ sQ25_spl
    | product1(e_2,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f210]) ).

fof(f212,plain,
    ( sQ25_spl
    | ~ product1(e_2,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f210]) ).

fof(f213,definition,
    ( sQ26_spl
  <=> product1(e_2,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f214,plain,
    ( ~ sQ26_spl
    | product1(e_2,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f213]) ).

fof(f215,plain,
    ( sQ26_spl
    | ~ product1(e_2,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f213]) ).

fof(f216,definition,
    ( sQ27_spl
  <=> product1(e_2,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f217,plain,
    ( ~ sQ27_spl
    | product1(e_2,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f216]) ).

fof(f218,plain,
    ( sQ27_spl
    | ~ product1(e_2,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f216]) ).

fof(f219,definition,
    ( sQ28_spl
  <=> product1(e_2,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f220,plain,
    ( ~ sQ28_spl
    | product1(e_2,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f219]) ).

fof(f221,plain,
    ( sQ28_spl
    | ~ product1(e_2,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f219]) ).

fof(f222,definition,
    ( sQ29_spl
  <=> product1(e_2,e_1,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f223,plain,
    ( ~ sQ29_spl
    | product1(e_2,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f222]) ).

fof(f224,plain,
    ( sQ29_spl
    | ~ product1(e_2,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f222]) ).

fof(f225,plain,
    ( sQ29_spl
    | sQ28_spl
    | sQ27_spl
    | sQ26_spl
    | sQ25_spl ),
    inference(split_clause,[status(thm)],[f177,f210,f213,f216,f219,f222]) ).

fof(f226,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)],[f120,f70]) ).

fof(f227,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)],[f120,f69]) ).

fof(f228,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)],[f120,f68]) ).

fof(f229,definition,
    ( sQ30_spl
  <=> product1(e_1,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f230,plain,
    ( ~ sQ30_spl
    | product1(e_1,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f229]) ).

fof(f231,plain,
    ( sQ30_spl
    | ~ product1(e_1,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f229]) ).

fof(f232,definition,
    ( sQ31_spl
  <=> product1(e_1,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f233,plain,
    ( ~ sQ31_spl
    | product1(e_1,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f232]) ).

fof(f234,plain,
    ( sQ31_spl
    | ~ product1(e_1,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f232]) ).

fof(f235,definition,
    ( sQ32_spl
  <=> product1(e_1,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f236,plain,
    ( ~ sQ32_spl
    | product1(e_1,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f235]) ).

fof(f237,plain,
    ( sQ32_spl
    | ~ product1(e_1,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f235]) ).

fof(f238,definition,
    ( sQ33_spl
  <=> product1(e_1,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f239,plain,
    ( ~ sQ33_spl
    | product1(e_1,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f238]) ).

fof(f240,plain,
    ( sQ33_spl
    | ~ product1(e_1,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f238]) ).

fof(f241,definition,
    ( sQ34_spl
  <=> product1(e_1,e_3,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f242,plain,
    ( ~ sQ34_spl
    | product1(e_1,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f241]) ).

fof(f243,plain,
    ( sQ34_spl
    | ~ product1(e_1,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f241]) ).

fof(f244,plain,
    ( sQ34_spl
    | sQ33_spl
    | sQ32_spl
    | sQ31_spl
    | sQ30_spl ),
    inference(split_clause,[status(thm)],[f226,f229,f232,f235,f238,f241]) ).

fof(f245,definition,
    ( sQ35_spl
  <=> product1(e_1,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f246,plain,
    ( ~ sQ35_spl
    | product1(e_1,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f245]) ).

fof(f247,plain,
    ( sQ35_spl
    | ~ product1(e_1,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f245]) ).

fof(f248,definition,
    ( sQ36_spl
  <=> product1(e_1,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f249,plain,
    ( ~ sQ36_spl
    | product1(e_1,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f248]) ).

fof(f250,plain,
    ( sQ36_spl
    | ~ product1(e_1,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f248]) ).

fof(f251,definition,
    ( sQ37_spl
  <=> product1(e_1,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f252,plain,
    ( ~ sQ37_spl
    | product1(e_1,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f251]) ).

fof(f253,plain,
    ( sQ37_spl
    | ~ product1(e_1,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f251]) ).

fof(f254,definition,
    ( sQ38_spl
  <=> product1(e_1,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f255,plain,
    ( ~ sQ38_spl
    | product1(e_1,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f254]) ).

fof(f256,plain,
    ( sQ38_spl
    | ~ product1(e_1,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f254]) ).

fof(f257,definition,
    ( sQ39_spl
  <=> product1(e_1,e_2,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f258,plain,
    ( ~ sQ39_spl
    | product1(e_1,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f257]) ).

fof(f259,plain,
    ( sQ39_spl
    | ~ product1(e_1,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f257]) ).

fof(f260,plain,
    ( sQ39_spl
    | sQ38_spl
    | sQ37_spl
    | sQ36_spl
    | sQ35_spl ),
    inference(split_clause,[status(thm)],[f227,f245,f248,f251,f254,f257]) ).

fof(f261,definition,
    ( sQ40_spl
  <=> product1(e_1,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f264,definition,
    ( sQ41_spl
  <=> product1(e_1,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f265,plain,
    ( ~ sQ41_spl
    | product1(e_1,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f264]) ).

fof(f266,plain,
    ( sQ41_spl
    | ~ product1(e_1,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f264]) ).

fof(f267,definition,
    ( sQ42_spl
  <=> product1(e_1,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f268,plain,
    ( ~ sQ42_spl
    | product1(e_1,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f267]) ).

fof(f269,plain,
    ( sQ42_spl
    | ~ product1(e_1,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f267]) ).

fof(f270,definition,
    ( sQ43_spl
  <=> product1(e_1,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f271,plain,
    ( ~ sQ43_spl
    | product1(e_1,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f270]) ).

fof(f272,plain,
    ( sQ43_spl
    | ~ product1(e_1,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f270]) ).

fof(f273,definition,
    ( sQ44_spl
  <=> product1(e_1,e_1,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f274,plain,
    ( ~ sQ44_spl
    | product1(e_1,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f273]) ).

fof(f275,plain,
    ( sQ44_spl
    | ~ product1(e_1,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f273]) ).

fof(f276,plain,
    ( sQ44_spl
    | sQ43_spl
    | sQ42_spl
    | sQ41_spl
    | sQ40_spl ),
    inference(split_clause,[status(thm)],[f228,f261,f264,f267,f270,f273]) ).

fof(f277,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)],[f121,f70]) ).

fof(f278,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)],[f121,f69]) ).

fof(f279,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)],[f121,f68]) ).

fof(f280,definition,
    ( sQ45_spl
  <=> product2(e_3,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f281,plain,
    ( ~ sQ45_spl
    | product2(e_3,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f280]) ).

fof(f282,plain,
    ( sQ45_spl
    | ~ product2(e_3,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f280]) ).

fof(f283,definition,
    ( sQ46_spl
  <=> product2(e_3,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f284,plain,
    ( ~ sQ46_spl
    | product2(e_3,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f283]) ).

fof(f285,plain,
    ( sQ46_spl
    | ~ product2(e_3,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f283]) ).

fof(f286,definition,
    ( sQ47_spl
  <=> product2(e_3,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f289,definition,
    ( sQ48_spl
  <=> product2(e_3,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f290,plain,
    ( ~ sQ48_spl
    | product2(e_3,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f289]) ).

fof(f291,plain,
    ( sQ48_spl
    | ~ product2(e_3,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f289]) ).

fof(f292,definition,
    ( sQ49_spl
  <=> product2(e_3,e_3,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f293,plain,
    ( ~ sQ49_spl
    | product2(e_3,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f292]) ).

fof(f294,plain,
    ( sQ49_spl
    | ~ product2(e_3,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f292]) ).

fof(f295,plain,
    ( sQ49_spl
    | sQ48_spl
    | sQ47_spl
    | sQ46_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f277,f280,f283,f286,f289,f292]) ).

fof(f296,definition,
    ( sQ50_spl
  <=> product2(e_3,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f297,plain,
    ( ~ sQ50_spl
    | product2(e_3,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f296]) ).

fof(f298,plain,
    ( sQ50_spl
    | ~ product2(e_3,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f296]) ).

fof(f299,definition,
    ( sQ51_spl
  <=> product2(e_3,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f300,plain,
    ( ~ sQ51_spl
    | product2(e_3,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f299]) ).

fof(f301,plain,
    ( sQ51_spl
    | ~ product2(e_3,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f299]) ).

fof(f302,definition,
    ( sQ52_spl
  <=> product2(e_3,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f303,plain,
    ( ~ sQ52_spl
    | product2(e_3,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f302]) ).

fof(f304,plain,
    ( sQ52_spl
    | ~ product2(e_3,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f302]) ).

fof(f305,definition,
    ( sQ53_spl
  <=> product2(e_3,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f306,plain,
    ( ~ sQ53_spl
    | product2(e_3,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f305]) ).

fof(f307,plain,
    ( sQ53_spl
    | ~ product2(e_3,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f305]) ).

fof(f308,definition,
    ( sQ54_spl
  <=> product2(e_3,e_2,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f309,plain,
    ( ~ sQ54_spl
    | product2(e_3,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f308]) ).

fof(f310,plain,
    ( sQ54_spl
    | ~ product2(e_3,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f308]) ).

fof(f311,plain,
    ( sQ54_spl
    | sQ53_spl
    | sQ52_spl
    | sQ51_spl
    | sQ50_spl ),
    inference(split_clause,[status(thm)],[f278,f296,f299,f302,f305,f308]) ).

fof(f312,definition,
    ( sQ55_spl
  <=> product2(e_3,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f313,plain,
    ( ~ sQ55_spl
    | product2(e_3,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f312]) ).

fof(f314,plain,
    ( sQ55_spl
    | ~ product2(e_3,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f312]) ).

fof(f315,definition,
    ( sQ56_spl
  <=> product2(e_3,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).

fof(f316,plain,
    ( ~ sQ56_spl
    | product2(e_3,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f315]) ).

fof(f317,plain,
    ( sQ56_spl
    | ~ product2(e_3,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f315]) ).

fof(f318,definition,
    ( sQ57_spl
  <=> product2(e_3,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f319,plain,
    ( ~ sQ57_spl
    | product2(e_3,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f318]) ).

fof(f320,plain,
    ( sQ57_spl
    | ~ product2(e_3,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f318]) ).

fof(f321,definition,
    ( sQ58_spl
  <=> product2(e_3,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f322,plain,
    ( ~ sQ58_spl
    | product2(e_3,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f321]) ).

fof(f323,plain,
    ( sQ58_spl
    | ~ product2(e_3,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f321]) ).

fof(f324,definition,
    ( sQ59_spl
  <=> product2(e_3,e_1,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f325,plain,
    ( ~ sQ59_spl
    | product2(e_3,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f324]) ).

fof(f326,plain,
    ( sQ59_spl
    | ~ product2(e_3,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f324]) ).

fof(f327,plain,
    ( sQ59_spl
    | sQ58_spl
    | sQ57_spl
    | sQ56_spl
    | sQ55_spl ),
    inference(split_clause,[status(thm)],[f279,f312,f315,f318,f321,f324]) ).

fof(f328,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)],[f122,f70]) ).

fof(f329,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)],[f122,f69]) ).

fof(f330,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)],[f122,f68]) ).

fof(f331,definition,
    ( sQ60_spl
  <=> product2(e_2,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f332,plain,
    ( ~ sQ60_spl
    | product2(e_2,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f331]) ).

fof(f333,plain,
    ( sQ60_spl
    | ~ product2(e_2,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f331]) ).

fof(f334,definition,
    ( sQ61_spl
  <=> product2(e_2,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).

fof(f335,plain,
    ( ~ sQ61_spl
    | product2(e_2,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f334]) ).

fof(f336,plain,
    ( sQ61_spl
    | ~ product2(e_2,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f334]) ).

fof(f337,definition,
    ( sQ62_spl
  <=> product2(e_2,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).

fof(f338,plain,
    ( ~ sQ62_spl
    | product2(e_2,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f337]) ).

fof(f339,plain,
    ( sQ62_spl
    | ~ product2(e_2,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f337]) ).

fof(f340,definition,
    ( sQ63_spl
  <=> product2(e_2,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f341,plain,
    ( ~ sQ63_spl
    | product2(e_2,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f340]) ).

fof(f342,plain,
    ( sQ63_spl
    | ~ product2(e_2,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f340]) ).

fof(f343,definition,
    ( sQ64_spl
  <=> product2(e_2,e_3,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f344,plain,
    ( ~ sQ64_spl
    | product2(e_2,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f343]) ).

fof(f345,plain,
    ( sQ64_spl
    | ~ product2(e_2,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f343]) ).

fof(f346,plain,
    ( sQ64_spl
    | sQ63_spl
    | sQ62_spl
    | sQ61_spl
    | sQ60_spl ),
    inference(split_clause,[status(thm)],[f328,f331,f334,f337,f340,f343]) ).

fof(f347,definition,
    ( sQ65_spl
  <=> product2(e_2,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).

fof(f348,plain,
    ( ~ sQ65_spl
    | product2(e_2,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f347]) ).

fof(f349,plain,
    ( sQ65_spl
    | ~ product2(e_2,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f347]) ).

fof(f350,definition,
    ( sQ66_spl
  <=> product2(e_2,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f353,definition,
    ( sQ67_spl
  <=> product2(e_2,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f354,plain,
    ( ~ sQ67_spl
    | product2(e_2,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f353]) ).

fof(f355,plain,
    ( sQ67_spl
    | ~ product2(e_2,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f353]) ).

fof(f356,definition,
    ( sQ68_spl
  <=> product2(e_2,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).

fof(f357,plain,
    ( ~ sQ68_spl
    | product2(e_2,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f356]) ).

fof(f358,plain,
    ( sQ68_spl
    | ~ product2(e_2,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f356]) ).

fof(f359,definition,
    ( sQ69_spl
  <=> product2(e_2,e_2,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f360,plain,
    ( ~ sQ69_spl
    | product2(e_2,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f359]) ).

fof(f361,plain,
    ( sQ69_spl
    | ~ product2(e_2,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f359]) ).

fof(f362,plain,
    ( sQ69_spl
    | sQ68_spl
    | sQ67_spl
    | sQ66_spl
    | sQ65_spl ),
    inference(split_clause,[status(thm)],[f329,f347,f350,f353,f356,f359]) ).

fof(f363,definition,
    ( sQ70_spl
  <=> product2(e_2,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f364,plain,
    ( ~ sQ70_spl
    | product2(e_2,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f363]) ).

fof(f365,plain,
    ( sQ70_spl
    | ~ product2(e_2,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f363]) ).

fof(f366,definition,
    ( sQ71_spl
  <=> product2(e_2,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f367,plain,
    ( ~ sQ71_spl
    | product2(e_2,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f366]) ).

fof(f368,plain,
    ( sQ71_spl
    | ~ product2(e_2,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f366]) ).

fof(f369,definition,
    ( sQ72_spl
  <=> product2(e_2,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).

fof(f370,plain,
    ( ~ sQ72_spl
    | product2(e_2,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f369]) ).

fof(f371,plain,
    ( sQ72_spl
    | ~ product2(e_2,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f369]) ).

fof(f372,definition,
    ( sQ73_spl
  <=> product2(e_2,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).

fof(f373,plain,
    ( ~ sQ73_spl
    | product2(e_2,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f372]) ).

fof(f374,plain,
    ( sQ73_spl
    | ~ product2(e_2,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f372]) ).

fof(f375,definition,
    ( sQ74_spl
  <=> product2(e_2,e_1,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).

fof(f376,plain,
    ( ~ sQ74_spl
    | product2(e_2,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f375]) ).

fof(f377,plain,
    ( sQ74_spl
    | ~ product2(e_2,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f375]) ).

fof(f378,plain,
    ( sQ74_spl
    | sQ73_spl
    | sQ72_spl
    | sQ71_spl
    | sQ70_spl ),
    inference(split_clause,[status(thm)],[f330,f363,f366,f369,f372,f375]) ).

fof(f379,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)],[f123,f70]) ).

fof(f380,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)],[f123,f69]) ).

fof(f381,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)],[f123,f68]) ).

fof(f382,definition,
    ( sQ75_spl
  <=> product2(e_1,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).

fof(f383,plain,
    ( ~ sQ75_spl
    | product2(e_1,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f382]) ).

fof(f384,plain,
    ( sQ75_spl
    | ~ product2(e_1,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f382]) ).

fof(f385,definition,
    ( sQ76_spl
  <=> product2(e_1,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).

fof(f386,plain,
    ( ~ sQ76_spl
    | product2(e_1,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f385]) ).

fof(f387,plain,
    ( sQ76_spl
    | ~ product2(e_1,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f385]) ).

fof(f388,definition,
    ( sQ77_spl
  <=> product2(e_1,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).

fof(f389,plain,
    ( ~ sQ77_spl
    | product2(e_1,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f388]) ).

fof(f390,plain,
    ( sQ77_spl
    | ~ product2(e_1,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f388]) ).

fof(f391,definition,
    ( sQ78_spl
  <=> product2(e_1,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).

fof(f392,plain,
    ( ~ sQ78_spl
    | product2(e_1,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f391]) ).

fof(f393,plain,
    ( sQ78_spl
    | ~ product2(e_1,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f391]) ).

fof(f394,definition,
    ( sQ79_spl
  <=> product2(e_1,e_3,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).

fof(f395,plain,
    ( ~ sQ79_spl
    | product2(e_1,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f394]) ).

fof(f396,plain,
    ( sQ79_spl
    | ~ product2(e_1,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f394]) ).

fof(f397,plain,
    ( sQ79_spl
    | sQ78_spl
    | sQ77_spl
    | sQ76_spl
    | sQ75_spl ),
    inference(split_clause,[status(thm)],[f379,f382,f385,f388,f391,f394]) ).

fof(f398,definition,
    ( sQ80_spl
  <=> product2(e_1,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).

fof(f399,plain,
    ( ~ sQ80_spl
    | product2(e_1,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f398]) ).

fof(f400,plain,
    ( sQ80_spl
    | ~ product2(e_1,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f398]) ).

fof(f401,definition,
    ( sQ81_spl
  <=> product2(e_1,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).

fof(f402,plain,
    ( ~ sQ81_spl
    | product2(e_1,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f401]) ).

fof(f403,plain,
    ( sQ81_spl
    | ~ product2(e_1,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f401]) ).

fof(f404,definition,
    ( sQ82_spl
  <=> product2(e_1,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).

fof(f405,plain,
    ( ~ sQ82_spl
    | product2(e_1,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f404]) ).

fof(f406,plain,
    ( sQ82_spl
    | ~ product2(e_1,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f404]) ).

fof(f407,definition,
    ( sQ83_spl
  <=> product2(e_1,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).

fof(f408,plain,
    ( ~ sQ83_spl
    | product2(e_1,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f407]) ).

fof(f409,plain,
    ( sQ83_spl
    | ~ product2(e_1,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f407]) ).

fof(f410,definition,
    ( sQ84_spl
  <=> product2(e_1,e_2,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).

fof(f411,plain,
    ( ~ sQ84_spl
    | product2(e_1,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f410]) ).

fof(f412,plain,
    ( sQ84_spl
    | ~ product2(e_1,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f410]) ).

fof(f413,plain,
    ( sQ84_spl
    | sQ83_spl
    | sQ82_spl
    | sQ81_spl
    | sQ80_spl ),
    inference(split_clause,[status(thm)],[f380,f398,f401,f404,f407,f410]) ).

fof(f414,definition,
    ( sQ85_spl
  <=> product2(e_1,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).

fof(f417,definition,
    ( sQ86_spl
  <=> product2(e_1,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).

fof(f418,plain,
    ( ~ sQ86_spl
    | product2(e_1,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f417]) ).

fof(f419,plain,
    ( sQ86_spl
    | ~ product2(e_1,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f417]) ).

fof(f420,definition,
    ( sQ87_spl
  <=> product2(e_1,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).

fof(f421,plain,
    ( ~ sQ87_spl
    | product2(e_1,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f420]) ).

fof(f422,plain,
    ( sQ87_spl
    | ~ product2(e_1,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f420]) ).

fof(f423,definition,
    ( sQ88_spl
  <=> product2(e_1,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).

fof(f424,plain,
    ( ~ sQ88_spl
    | product2(e_1,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f423]) ).

fof(f425,plain,
    ( sQ88_spl
    | ~ product2(e_1,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f423]) ).

fof(f426,definition,
    ( sQ89_spl
  <=> product2(e_1,e_1,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).

fof(f427,plain,
    ( ~ sQ89_spl
    | product2(e_1,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f426]) ).

fof(f428,plain,
    ( sQ89_spl
    | ~ product2(e_1,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f426]) ).

fof(f429,plain,
    ( sQ89_spl
    | sQ88_spl
    | sQ87_spl
    | sQ86_spl
    | sQ85_spl ),
    inference(split_clause,[status(thm)],[f381,f414,f417,f420,f423,f426]) ).

fof(f431,plain,
    ! [X0] : equalish(X0,X0),
    inference(resolution,[status(thm)],[f111,f100]) ).

fof(f437,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)],[f71,f123]) ).

fof(f438,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)],[f71,f122]) ).

fof(f439,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)],[f71,f121]) ).

fof(f440,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)],[f71,f120]) ).

fof(f441,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)],[f71,f119]) ).

fof(f442,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)],[f71,f118]) ).

fof(f443,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)],[f71,f101]) ).

fof(f444,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)],[f71,f93]) ).

fof(f445,definition,
    ( sQ90_spl
  <=> product2(e_1,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).

fof(f446,plain,
    ( ~ sQ90_spl
    | product2(e_1,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f445]) ).

fof(f447,plain,
    ( sQ90_spl
    | ~ product2(e_1,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f445]) ).

fof(f448,definition,
    ( sQ91_spl
  <=> product2(e_1,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).

fof(f449,plain,
    ( ~ sQ91_spl
    | product2(e_1,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f448]) ).

fof(f450,plain,
    ( sQ91_spl
    | ~ product2(e_1,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f448]) ).

fof(f451,definition,
    ( sQ92_spl
  <=> product2(e_1,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).

fof(f452,plain,
    ( ~ sQ92_spl
    | product2(e_1,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f451]) ).

fof(f453,plain,
    ( sQ92_spl
    | ~ product2(e_1,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f451]) ).

fof(f454,definition,
    ( sQ93_spl
  <=> product2(e_1,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).

fof(f455,plain,
    ( ~ sQ93_spl
    | product2(e_1,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f454]) ).

fof(f456,plain,
    ( sQ93_spl
    | ~ product2(e_1,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f454]) ).

fof(f457,definition,
    ( sQ94_spl
  <=> product2(e_1,e_4,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).

fof(f458,plain,
    ( ~ sQ94_spl
    | product2(e_1,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f457]) ).

fof(f459,plain,
    ( sQ94_spl
    | ~ product2(e_1,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f457]) ).

fof(f460,plain,
    ( sQ94_spl
    | sQ93_spl
    | sQ92_spl
    | sQ91_spl
    | sQ90_spl ),
    inference(split_clause,[status(thm)],[f437,f445,f448,f451,f454,f457]) ).

fof(f461,definition,
    ( sQ95_spl
  <=> product2(e_2,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).

fof(f462,plain,
    ( ~ sQ95_spl
    | product2(e_2,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f461]) ).

fof(f463,plain,
    ( sQ95_spl
    | ~ product2(e_2,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f461]) ).

fof(f464,definition,
    ( sQ96_spl
  <=> product2(e_2,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).

fof(f465,plain,
    ( ~ sQ96_spl
    | product2(e_2,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f464]) ).

fof(f466,plain,
    ( sQ96_spl
    | ~ product2(e_2,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f464]) ).

fof(f467,definition,
    ( sQ97_spl
  <=> product2(e_2,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).

fof(f468,plain,
    ( ~ sQ97_spl
    | product2(e_2,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f467]) ).

fof(f469,plain,
    ( sQ97_spl
    | ~ product2(e_2,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f467]) ).

fof(f470,definition,
    ( sQ98_spl
  <=> product2(e_2,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).

fof(f471,plain,
    ( ~ sQ98_spl
    | product2(e_2,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f470]) ).

fof(f472,plain,
    ( sQ98_spl
    | ~ product2(e_2,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f470]) ).

fof(f473,definition,
    ( sQ99_spl
  <=> product2(e_2,e_4,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).

fof(f474,plain,
    ( ~ sQ99_spl
    | product2(e_2,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f473]) ).

fof(f475,plain,
    ( sQ99_spl
    | ~ product2(e_2,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f473]) ).

fof(f476,plain,
    ( sQ99_spl
    | sQ98_spl
    | sQ97_spl
    | sQ96_spl
    | sQ95_spl ),
    inference(split_clause,[status(thm)],[f438,f461,f464,f467,f470,f473]) ).

fof(f477,definition,
    ( sQ100_spl
  <=> product2(e_3,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).

fof(f478,plain,
    ( ~ sQ100_spl
    | product2(e_3,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f477]) ).

fof(f479,plain,
    ( sQ100_spl
    | ~ product2(e_3,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f477]) ).

fof(f480,definition,
    ( sQ101_spl
  <=> product2(e_3,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).

fof(f481,plain,
    ( ~ sQ101_spl
    | product2(e_3,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f480]) ).

fof(f482,plain,
    ( sQ101_spl
    | ~ product2(e_3,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f480]) ).

fof(f483,definition,
    ( sQ102_spl
  <=> product2(e_3,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).

fof(f484,plain,
    ( ~ sQ102_spl
    | product2(e_3,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f483]) ).

fof(f485,plain,
    ( sQ102_spl
    | ~ product2(e_3,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f483]) ).

fof(f486,definition,
    ( sQ103_spl
  <=> product2(e_3,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).

fof(f487,plain,
    ( ~ sQ103_spl
    | product2(e_3,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f486]) ).

fof(f488,plain,
    ( sQ103_spl
    | ~ product2(e_3,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f486]) ).

fof(f489,definition,
    ( sQ104_spl
  <=> product2(e_3,e_4,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).

fof(f490,plain,
    ( ~ sQ104_spl
    | product2(e_3,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f489]) ).

fof(f491,plain,
    ( sQ104_spl
    | ~ product2(e_3,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f489]) ).

fof(f492,plain,
    ( sQ104_spl
    | sQ103_spl
    | sQ102_spl
    | sQ101_spl
    | sQ100_spl ),
    inference(split_clause,[status(thm)],[f439,f477,f480,f483,f486,f489]) ).

fof(f493,definition,
    ( sQ105_spl
  <=> product1(e_1,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).

fof(f494,plain,
    ( ~ sQ105_spl
    | product1(e_1,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f493]) ).

fof(f495,plain,
    ( sQ105_spl
    | ~ product1(e_1,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f493]) ).

fof(f496,definition,
    ( sQ106_spl
  <=> product1(e_1,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).

fof(f497,plain,
    ( ~ sQ106_spl
    | product1(e_1,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f496]) ).

fof(f498,plain,
    ( sQ106_spl
    | ~ product1(e_1,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f496]) ).

fof(f499,definition,
    ( sQ107_spl
  <=> product1(e_1,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).

fof(f500,plain,
    ( ~ sQ107_spl
    | product1(e_1,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f499]) ).

fof(f501,plain,
    ( sQ107_spl
    | ~ product1(e_1,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f499]) ).

fof(f502,definition,
    ( sQ108_spl
  <=> product1(e_1,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).

fof(f503,plain,
    ( ~ sQ108_spl
    | product1(e_1,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f502]) ).

fof(f504,plain,
    ( sQ108_spl
    | ~ product1(e_1,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f502]) ).

fof(f505,definition,
    ( sQ109_spl
  <=> product1(e_1,e_4,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).

fof(f506,plain,
    ( ~ sQ109_spl
    | product1(e_1,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f505]) ).

fof(f507,plain,
    ( sQ109_spl
    | ~ product1(e_1,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f505]) ).

fof(f508,plain,
    ( sQ109_spl
    | sQ108_spl
    | sQ107_spl
    | sQ106_spl
    | sQ105_spl ),
    inference(split_clause,[status(thm)],[f440,f493,f496,f499,f502,f505]) ).

fof(f509,definition,
    ( sQ110_spl
  <=> product1(e_2,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).

fof(f510,plain,
    ( ~ sQ110_spl
    | product1(e_2,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f509]) ).

fof(f511,plain,
    ( sQ110_spl
    | ~ product1(e_2,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f509]) ).

fof(f512,definition,
    ( sQ111_spl
  <=> product1(e_2,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).

fof(f513,plain,
    ( ~ sQ111_spl
    | product1(e_2,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f512]) ).

fof(f514,plain,
    ( sQ111_spl
    | ~ product1(e_2,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f512]) ).

fof(f515,definition,
    ( sQ112_spl
  <=> product1(e_2,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).

fof(f516,plain,
    ( ~ sQ112_spl
    | product1(e_2,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f515]) ).

fof(f517,plain,
    ( sQ112_spl
    | ~ product1(e_2,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f515]) ).

fof(f518,definition,
    ( sQ113_spl
  <=> product1(e_2,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).

fof(f519,plain,
    ( ~ sQ113_spl
    | product1(e_2,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f518]) ).

fof(f520,plain,
    ( sQ113_spl
    | ~ product1(e_2,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f518]) ).

fof(f521,definition,
    ( sQ114_spl
  <=> product1(e_2,e_4,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).

fof(f522,plain,
    ( ~ sQ114_spl
    | product1(e_2,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f521]) ).

fof(f523,plain,
    ( sQ114_spl
    | ~ product1(e_2,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f521]) ).

fof(f524,plain,
    ( sQ114_spl
    | sQ113_spl
    | sQ112_spl
    | sQ111_spl
    | sQ110_spl ),
    inference(split_clause,[status(thm)],[f441,f509,f512,f515,f518,f521]) ).

fof(f525,definition,
    ( sQ115_spl
  <=> product1(e_3,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).

fof(f526,plain,
    ( ~ sQ115_spl
    | product1(e_3,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f525]) ).

fof(f527,plain,
    ( sQ115_spl
    | ~ product1(e_3,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f525]) ).

fof(f528,definition,
    ( sQ116_spl
  <=> product1(e_3,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).

fof(f529,plain,
    ( ~ sQ116_spl
    | product1(e_3,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f528]) ).

fof(f530,plain,
    ( sQ116_spl
    | ~ product1(e_3,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f528]) ).

fof(f531,definition,
    ( sQ117_spl
  <=> product1(e_3,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).

fof(f532,plain,
    ( ~ sQ117_spl
    | product1(e_3,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f531]) ).

fof(f533,plain,
    ( sQ117_spl
    | ~ product1(e_3,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f531]) ).

fof(f534,definition,
    ( sQ118_spl
  <=> product1(e_3,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).

fof(f535,plain,
    ( ~ sQ118_spl
    | product1(e_3,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f534]) ).

fof(f536,plain,
    ( sQ118_spl
    | ~ product1(e_3,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f534]) ).

fof(f537,definition,
    ( sQ119_spl
  <=> product1(e_3,e_4,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).

fof(f538,plain,
    ( ~ sQ119_spl
    | product1(e_3,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f537]) ).

fof(f539,plain,
    ( sQ119_spl
    | ~ product1(e_3,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f537]) ).

fof(f540,plain,
    ( sQ119_spl
    | sQ118_spl
    | sQ117_spl
    | sQ116_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f442,f525,f528,f531,f534,f537]) ).

fof(f541,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)],[f443,f71]) ).

fof(f542,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)],[f443,f70]) ).

fof(f543,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)],[f443,f69]) ).

fof(f544,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)],[f443,f68]) ).

fof(f545,definition,
    ( sQ120_spl
  <=> product2(e_4,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).

fof(f546,plain,
    ( ~ sQ120_spl
    | product2(e_4,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f545]) ).

fof(f547,plain,
    ( sQ120_spl
    | ~ product2(e_4,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f545]) ).

fof(f548,definition,
    ( sQ121_spl
  <=> product2(e_4,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).

fof(f549,plain,
    ( ~ sQ121_spl
    | product2(e_4,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f548]) ).

fof(f550,plain,
    ( sQ121_spl
    | ~ product2(e_4,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f548]) ).

fof(f551,definition,
    ( sQ122_spl
  <=> product2(e_4,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).

fof(f552,plain,
    ( ~ sQ122_spl
    | product2(e_4,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f551]) ).

fof(f553,plain,
    ( sQ122_spl
    | ~ product2(e_4,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f551]) ).

fof(f554,definition,
    ( sQ123_spl
  <=> product2(e_4,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).

fof(f557,definition,
    ( sQ124_spl
  <=> product2(e_4,e_4,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).

fof(f558,plain,
    ( ~ sQ124_spl
    | product2(e_4,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f557]) ).

fof(f559,plain,
    ( sQ124_spl
    | ~ product2(e_4,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f557]) ).

fof(f560,plain,
    ( sQ124_spl
    | sQ123_spl
    | sQ122_spl
    | sQ121_spl
    | sQ120_spl ),
    inference(split_clause,[status(thm)],[f541,f545,f548,f551,f554,f557]) ).

fof(f561,definition,
    ( sQ125_spl
  <=> product2(e_4,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).

fof(f562,plain,
    ( ~ sQ125_spl
    | product2(e_4,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f561]) ).

fof(f563,plain,
    ( sQ125_spl
    | ~ product2(e_4,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f561]) ).

fof(f564,definition,
    ( sQ126_spl
  <=> product2(e_4,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).

fof(f565,plain,
    ( ~ sQ126_spl
    | product2(e_4,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f564]) ).

fof(f566,plain,
    ( sQ126_spl
    | ~ product2(e_4,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f564]) ).

fof(f567,definition,
    ( sQ127_spl
  <=> product2(e_4,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).

fof(f568,plain,
    ( ~ sQ127_spl
    | product2(e_4,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f567]) ).

fof(f569,plain,
    ( sQ127_spl
    | ~ product2(e_4,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f567]) ).

fof(f570,definition,
    ( sQ128_spl
  <=> product2(e_4,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).

fof(f571,plain,
    ( ~ sQ128_spl
    | product2(e_4,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f570]) ).

fof(f572,plain,
    ( sQ128_spl
    | ~ product2(e_4,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f570]) ).

fof(f573,definition,
    ( sQ129_spl
  <=> product2(e_4,e_3,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).

fof(f574,plain,
    ( ~ sQ129_spl
    | product2(e_4,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f573]) ).

fof(f575,plain,
    ( sQ129_spl
    | ~ product2(e_4,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f573]) ).

fof(f576,plain,
    ( sQ129_spl
    | sQ128_spl
    | sQ127_spl
    | sQ126_spl
    | sQ125_spl ),
    inference(split_clause,[status(thm)],[f542,f561,f564,f567,f570,f573]) ).

fof(f577,definition,
    ( sQ130_spl
  <=> product2(e_4,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).

fof(f578,plain,
    ( ~ sQ130_spl
    | product2(e_4,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f577]) ).

fof(f579,plain,
    ( sQ130_spl
    | ~ product2(e_4,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f577]) ).

fof(f580,definition,
    ( sQ131_spl
  <=> product2(e_4,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).

fof(f581,plain,
    ( ~ sQ131_spl
    | product2(e_4,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f580]) ).

fof(f582,plain,
    ( sQ131_spl
    | ~ product2(e_4,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f580]) ).

fof(f583,definition,
    ( sQ132_spl
  <=> product2(e_4,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).

fof(f584,plain,
    ( ~ sQ132_spl
    | product2(e_4,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f583]) ).

fof(f585,plain,
    ( sQ132_spl
    | ~ product2(e_4,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f583]) ).

fof(f586,definition,
    ( sQ133_spl
  <=> product2(e_4,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).

fof(f587,plain,
    ( ~ sQ133_spl
    | product2(e_4,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f586]) ).

fof(f588,plain,
    ( sQ133_spl
    | ~ product2(e_4,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f586]) ).

fof(f589,definition,
    ( sQ134_spl
  <=> product2(e_4,e_2,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).

fof(f590,plain,
    ( ~ sQ134_spl
    | product2(e_4,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f589]) ).

fof(f591,plain,
    ( sQ134_spl
    | ~ product2(e_4,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f589]) ).

fof(f592,plain,
    ( sQ134_spl
    | sQ133_spl
    | sQ132_spl
    | sQ131_spl
    | sQ130_spl ),
    inference(split_clause,[status(thm)],[f543,f577,f580,f583,f586,f589]) ).

fof(f593,definition,
    ( sQ135_spl
  <=> product2(e_4,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).

fof(f594,plain,
    ( ~ sQ135_spl
    | product2(e_4,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f593]) ).

fof(f595,plain,
    ( sQ135_spl
    | ~ product2(e_4,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f593]) ).

fof(f596,definition,
    ( sQ136_spl
  <=> product2(e_4,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).

fof(f597,plain,
    ( ~ sQ136_spl
    | product2(e_4,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f596]) ).

fof(f598,plain,
    ( sQ136_spl
    | ~ product2(e_4,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f596]) ).

fof(f599,definition,
    ( sQ137_spl
  <=> product2(e_4,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).

fof(f600,plain,
    ( ~ sQ137_spl
    | product2(e_4,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f599]) ).

fof(f601,plain,
    ( sQ137_spl
    | ~ product2(e_4,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f599]) ).

fof(f602,definition,
    ( sQ138_spl
  <=> product2(e_4,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).

fof(f603,plain,
    ( ~ sQ138_spl
    | product2(e_4,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f602]) ).

fof(f604,plain,
    ( sQ138_spl
    | ~ product2(e_4,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f602]) ).

fof(f605,definition,
    ( sQ139_spl
  <=> product2(e_4,e_1,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).

fof(f606,plain,
    ( ~ sQ139_spl
    | product2(e_4,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f605]) ).

fof(f607,plain,
    ( sQ139_spl
    | ~ product2(e_4,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f605]) ).

fof(f608,plain,
    ( sQ139_spl
    | sQ138_spl
    | sQ137_spl
    | sQ136_spl
    | sQ135_spl ),
    inference(split_clause,[status(thm)],[f544,f593,f596,f599,f602,f605]) ).

fof(f609,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)],[f444,f71]) ).

fof(f610,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)],[f444,f70]) ).

fof(f611,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)],[f444,f69]) ).

fof(f612,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)],[f444,f68]) ).

fof(f613,definition,
    ( sQ140_spl
  <=> product1(e_4,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).

fof(f614,plain,
    ( ~ sQ140_spl
    | product1(e_4,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f613]) ).

fof(f615,plain,
    ( sQ140_spl
    | ~ product1(e_4,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f613]) ).

fof(f616,definition,
    ( sQ141_spl
  <=> product1(e_4,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).

fof(f617,plain,
    ( ~ sQ141_spl
    | product1(e_4,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f616]) ).

fof(f618,plain,
    ( sQ141_spl
    | ~ product1(e_4,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f616]) ).

fof(f619,definition,
    ( sQ142_spl
  <=> product1(e_4,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).

fof(f620,plain,
    ( ~ sQ142_spl
    | product1(e_4,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f619]) ).

fof(f621,plain,
    ( sQ142_spl
    | ~ product1(e_4,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f619]) ).

fof(f622,definition,
    ( sQ143_spl
  <=> product1(e_4,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).

fof(f625,definition,
    ( sQ144_spl
  <=> product1(e_4,e_4,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).

fof(f626,plain,
    ( ~ sQ144_spl
    | product1(e_4,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f625]) ).

fof(f627,plain,
    ( sQ144_spl
    | ~ product1(e_4,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f625]) ).

fof(f628,plain,
    ( sQ144_spl
    | sQ143_spl
    | sQ142_spl
    | sQ141_spl
    | sQ140_spl ),
    inference(split_clause,[status(thm)],[f609,f613,f616,f619,f622,f625]) ).

fof(f629,definition,
    ( sQ145_spl
  <=> product1(e_4,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).

fof(f630,plain,
    ( ~ sQ145_spl
    | product1(e_4,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f629]) ).

fof(f631,plain,
    ( sQ145_spl
    | ~ product1(e_4,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f629]) ).

fof(f632,definition,
    ( sQ146_spl
  <=> product1(e_4,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).

fof(f633,plain,
    ( ~ sQ146_spl
    | product1(e_4,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f632]) ).

fof(f634,plain,
    ( sQ146_spl
    | ~ product1(e_4,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f632]) ).

fof(f635,definition,
    ( sQ147_spl
  <=> product1(e_4,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).

fof(f636,plain,
    ( ~ sQ147_spl
    | product1(e_4,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f635]) ).

fof(f637,plain,
    ( sQ147_spl
    | ~ product1(e_4,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f635]) ).

fof(f638,definition,
    ( sQ148_spl
  <=> product1(e_4,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).

fof(f639,plain,
    ( ~ sQ148_spl
    | product1(e_4,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f638]) ).

fof(f640,plain,
    ( sQ148_spl
    | ~ product1(e_4,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f638]) ).

fof(f641,definition,
    ( sQ149_spl
  <=> product1(e_4,e_3,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).

fof(f642,plain,
    ( ~ sQ149_spl
    | product1(e_4,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f641]) ).

fof(f643,plain,
    ( sQ149_spl
    | ~ product1(e_4,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f641]) ).

fof(f644,plain,
    ( sQ149_spl
    | sQ148_spl
    | sQ147_spl
    | sQ146_spl
    | sQ145_spl ),
    inference(split_clause,[status(thm)],[f610,f629,f632,f635,f638,f641]) ).

fof(f645,definition,
    ( sQ150_spl
  <=> product1(e_4,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).

fof(f646,plain,
    ( ~ sQ150_spl
    | product1(e_4,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f645]) ).

fof(f647,plain,
    ( sQ150_spl
    | ~ product1(e_4,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f645]) ).

fof(f648,definition,
    ( sQ151_spl
  <=> product1(e_4,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).

fof(f649,plain,
    ( ~ sQ151_spl
    | product1(e_4,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f648]) ).

fof(f650,plain,
    ( sQ151_spl
    | ~ product1(e_4,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f648]) ).

fof(f651,definition,
    ( sQ152_spl
  <=> product1(e_4,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).

fof(f652,plain,
    ( ~ sQ152_spl
    | product1(e_4,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f651]) ).

fof(f653,plain,
    ( sQ152_spl
    | ~ product1(e_4,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f651]) ).

fof(f654,definition,
    ( sQ153_spl
  <=> product1(e_4,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).

fof(f655,plain,
    ( ~ sQ153_spl
    | product1(e_4,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f654]) ).

fof(f656,plain,
    ( sQ153_spl
    | ~ product1(e_4,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f654]) ).

fof(f657,definition,
    ( sQ154_spl
  <=> product1(e_4,e_2,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).

fof(f658,plain,
    ( ~ sQ154_spl
    | product1(e_4,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f657]) ).

fof(f659,plain,
    ( sQ154_spl
    | ~ product1(e_4,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f657]) ).

fof(f660,plain,
    ( sQ154_spl
    | sQ153_spl
    | sQ152_spl
    | sQ151_spl
    | sQ150_spl ),
    inference(split_clause,[status(thm)],[f611,f645,f648,f651,f654,f657]) ).

fof(f661,definition,
    ( sQ155_spl
  <=> product1(e_4,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).

fof(f662,plain,
    ( ~ sQ155_spl
    | product1(e_4,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f661]) ).

fof(f663,plain,
    ( sQ155_spl
    | ~ product1(e_4,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f661]) ).

fof(f664,definition,
    ( sQ156_spl
  <=> product1(e_4,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).

fof(f665,plain,
    ( ~ sQ156_spl
    | product1(e_4,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f664]) ).

fof(f666,plain,
    ( sQ156_spl
    | ~ product1(e_4,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f664]) ).

fof(f667,definition,
    ( sQ157_spl
  <=> product1(e_4,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).

fof(f668,plain,
    ( ~ sQ157_spl
    | product1(e_4,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f667]) ).

fof(f669,plain,
    ( sQ157_spl
    | ~ product1(e_4,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f667]) ).

fof(f670,definition,
    ( sQ158_spl
  <=> product1(e_4,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).

fof(f671,plain,
    ( ~ sQ158_spl
    | product1(e_4,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f670]) ).

fof(f672,plain,
    ( sQ158_spl
    | ~ product1(e_4,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f670]) ).

fof(f673,definition,
    ( sQ159_spl
  <=> product1(e_4,e_1,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).

fof(f674,plain,
    ( ~ sQ159_spl
    | product1(e_4,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f673]) ).

fof(f675,plain,
    ( sQ159_spl
    | ~ product1(e_4,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f673]) ).

fof(f676,plain,
    ( sQ159_spl
    | sQ158_spl
    | sQ157_spl
    | sQ156_spl
    | sQ155_spl ),
    inference(split_clause,[status(thm)],[f612,f661,f664,f667,f670,f673]) ).

fof(f677,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)],[f72,f444]) ).

fof(f678,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)],[f72,f443]) ).

fof(f679,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)],[f72,f123]) ).

fof(f680,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)],[f72,f122]) ).

fof(f681,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)],[f72,f121]) ).

fof(f682,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)],[f72,f120]) ).

fof(f683,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)],[f72,f119]) ).

fof(f684,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)],[f72,f118]) ).

fof(f685,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)],[f72,f101]) ).

fof(f686,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)],[f72,f93]) ).

fof(f687,definition,
    ( sQ160_spl
  <=> product1(e_4,e_5,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).

fof(f688,plain,
    ( ~ sQ160_spl
    | product1(e_4,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f687]) ).

fof(f689,plain,
    ( sQ160_spl
    | ~ product1(e_4,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f687]) ).

fof(f690,definition,
    ( sQ161_spl
  <=> product1(e_4,e_5,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).

fof(f691,plain,
    ( ~ sQ161_spl
    | product1(e_4,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f690]) ).

fof(f692,plain,
    ( sQ161_spl
    | ~ product1(e_4,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f690]) ).

fof(f693,definition,
    ( sQ162_spl
  <=> product1(e_4,e_5,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).

fof(f694,plain,
    ( ~ sQ162_spl
    | product1(e_4,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f693]) ).

fof(f695,plain,
    ( sQ162_spl
    | ~ product1(e_4,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f693]) ).

fof(f696,definition,
    ( sQ163_spl
  <=> product1(e_4,e_5,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).

fof(f697,plain,
    ( ~ sQ163_spl
    | product1(e_4,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f696]) ).

fof(f698,plain,
    ( sQ163_spl
    | ~ product1(e_4,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f696]) ).

fof(f699,definition,
    ( sQ164_spl
  <=> product1(e_4,e_5,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).

fof(f700,plain,
    ( ~ sQ164_spl
    | product1(e_4,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f699]) ).

fof(f701,plain,
    ( sQ164_spl
    | ~ product1(e_4,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f699]) ).

fof(f702,plain,
    ( sQ164_spl
    | sQ163_spl
    | sQ162_spl
    | sQ161_spl
    | sQ160_spl ),
    inference(split_clause,[status(thm)],[f677,f687,f690,f693,f696,f699]) ).

fof(f703,definition,
    ( sQ165_spl
  <=> product2(e_4,e_5,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).

fof(f704,plain,
    ( ~ sQ165_spl
    | product2(e_4,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f703]) ).

fof(f705,plain,
    ( sQ165_spl
    | ~ product2(e_4,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f703]) ).

fof(f706,definition,
    ( sQ166_spl
  <=> product2(e_4,e_5,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).

fof(f707,plain,
    ( ~ sQ166_spl
    | product2(e_4,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f706]) ).

fof(f708,plain,
    ( sQ166_spl
    | ~ product2(e_4,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f706]) ).

fof(f709,definition,
    ( sQ167_spl
  <=> product2(e_4,e_5,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).

fof(f710,plain,
    ( ~ sQ167_spl
    | product2(e_4,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f709]) ).

fof(f711,plain,
    ( sQ167_spl
    | ~ product2(e_4,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f709]) ).

fof(f712,definition,
    ( sQ168_spl
  <=> product2(e_4,e_5,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).

fof(f713,plain,
    ( ~ sQ168_spl
    | product2(e_4,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f712]) ).

fof(f714,plain,
    ( sQ168_spl
    | ~ product2(e_4,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f712]) ).

fof(f715,definition,
    ( sQ169_spl
  <=> product2(e_4,e_5,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).

fof(f716,plain,
    ( ~ sQ169_spl
    | product2(e_4,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f715]) ).

fof(f717,plain,
    ( sQ169_spl
    | ~ product2(e_4,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f715]) ).

fof(f718,plain,
    ( sQ169_spl
    | sQ168_spl
    | sQ167_spl
    | sQ166_spl
    | sQ165_spl ),
    inference(split_clause,[status(thm)],[f678,f703,f706,f709,f712,f715]) ).

fof(f719,definition,
    ( sQ170_spl
  <=> product2(e_1,e_5,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).

fof(f720,plain,
    ( ~ sQ170_spl
    | product2(e_1,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f719]) ).

fof(f721,plain,
    ( sQ170_spl
    | ~ product2(e_1,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f719]) ).

fof(f722,definition,
    ( sQ171_spl
  <=> product2(e_1,e_5,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).

fof(f723,plain,
    ( ~ sQ171_spl
    | product2(e_1,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f722]) ).

fof(f724,plain,
    ( sQ171_spl
    | ~ product2(e_1,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f722]) ).

fof(f725,definition,
    ( sQ172_spl
  <=> product2(e_1,e_5,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).

fof(f726,plain,
    ( ~ sQ172_spl
    | product2(e_1,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f725]) ).

fof(f727,plain,
    ( sQ172_spl
    | ~ product2(e_1,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f725]) ).

fof(f728,definition,
    ( sQ173_spl
  <=> product2(e_1,e_5,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).

fof(f729,plain,
    ( ~ sQ173_spl
    | product2(e_1,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f728]) ).

fof(f730,plain,
    ( sQ173_spl
    | ~ product2(e_1,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f728]) ).

fof(f731,definition,
    ( sQ174_spl
  <=> product2(e_1,e_5,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).

fof(f732,plain,
    ( ~ sQ174_spl
    | product2(e_1,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f731]) ).

fof(f733,plain,
    ( sQ174_spl
    | ~ product2(e_1,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f731]) ).

fof(f734,plain,
    ( sQ174_spl
    | sQ173_spl
    | sQ172_spl
    | sQ171_spl
    | sQ170_spl ),
    inference(split_clause,[status(thm)],[f679,f719,f722,f725,f728,f731]) ).

fof(f735,definition,
    ( sQ175_spl
  <=> product2(e_2,e_5,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).

fof(f736,plain,
    ( ~ sQ175_spl
    | product2(e_2,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f735]) ).

fof(f737,plain,
    ( sQ175_spl
    | ~ product2(e_2,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f735]) ).

fof(f738,definition,
    ( sQ176_spl
  <=> product2(e_2,e_5,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).

fof(f739,plain,
    ( ~ sQ176_spl
    | product2(e_2,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f738]) ).

fof(f740,plain,
    ( sQ176_spl
    | ~ product2(e_2,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f738]) ).

fof(f741,definition,
    ( sQ177_spl
  <=> product2(e_2,e_5,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).

fof(f742,plain,
    ( ~ sQ177_spl
    | product2(e_2,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f741]) ).

fof(f743,plain,
    ( sQ177_spl
    | ~ product2(e_2,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f741]) ).

fof(f744,definition,
    ( sQ178_spl
  <=> product2(e_2,e_5,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).

fof(f745,plain,
    ( ~ sQ178_spl
    | product2(e_2,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f744]) ).

fof(f746,plain,
    ( sQ178_spl
    | ~ product2(e_2,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f744]) ).

fof(f747,definition,
    ( sQ179_spl
  <=> product2(e_2,e_5,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).

fof(f748,plain,
    ( ~ sQ179_spl
    | product2(e_2,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f747]) ).

fof(f749,plain,
    ( sQ179_spl
    | ~ product2(e_2,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f747]) ).

fof(f750,plain,
    ( sQ179_spl
    | sQ178_spl
    | sQ177_spl
    | sQ176_spl
    | sQ175_spl ),
    inference(split_clause,[status(thm)],[f680,f735,f738,f741,f744,f747]) ).

fof(f751,definition,
    ( sQ180_spl
  <=> product2(e_3,e_5,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).

fof(f752,plain,
    ( ~ sQ180_spl
    | product2(e_3,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f751]) ).

fof(f753,plain,
    ( sQ180_spl
    | ~ product2(e_3,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f751]) ).

fof(f754,definition,
    ( sQ181_spl
  <=> product2(e_3,e_5,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).

fof(f755,plain,
    ( ~ sQ181_spl
    | product2(e_3,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f754]) ).

fof(f756,plain,
    ( sQ181_spl
    | ~ product2(e_3,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f754]) ).

fof(f757,definition,
    ( sQ182_spl
  <=> product2(e_3,e_5,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).

fof(f758,plain,
    ( ~ sQ182_spl
    | product2(e_3,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f757]) ).

fof(f759,plain,
    ( sQ182_spl
    | ~ product2(e_3,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f757]) ).

fof(f760,definition,
    ( sQ183_spl
  <=> product2(e_3,e_5,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).

fof(f761,plain,
    ( ~ sQ183_spl
    | product2(e_3,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f760]) ).

fof(f762,plain,
    ( sQ183_spl
    | ~ product2(e_3,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f760]) ).

fof(f763,definition,
    ( sQ184_spl
  <=> product2(e_3,e_5,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).

fof(f764,plain,
    ( ~ sQ184_spl
    | product2(e_3,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f763]) ).

fof(f765,plain,
    ( sQ184_spl
    | ~ product2(e_3,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f763]) ).

fof(f766,plain,
    ( sQ184_spl
    | sQ183_spl
    | sQ182_spl
    | sQ181_spl
    | sQ180_spl ),
    inference(split_clause,[status(thm)],[f681,f751,f754,f757,f760,f763]) ).

fof(f767,definition,
    ( sQ185_spl
  <=> product1(e_1,e_5,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).

fof(f768,plain,
    ( ~ sQ185_spl
    | product1(e_1,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f767]) ).

fof(f769,plain,
    ( sQ185_spl
    | ~ product1(e_1,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f767]) ).

fof(f770,definition,
    ( sQ186_spl
  <=> product1(e_1,e_5,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).

fof(f771,plain,
    ( ~ sQ186_spl
    | product1(e_1,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f770]) ).

fof(f772,plain,
    ( sQ186_spl
    | ~ product1(e_1,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f770]) ).

fof(f773,definition,
    ( sQ187_spl
  <=> product1(e_1,e_5,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).

fof(f774,plain,
    ( ~ sQ187_spl
    | product1(e_1,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f773]) ).

fof(f775,plain,
    ( sQ187_spl
    | ~ product1(e_1,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f773]) ).

fof(f776,definition,
    ( sQ188_spl
  <=> product1(e_1,e_5,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).

fof(f777,plain,
    ( ~ sQ188_spl
    | product1(e_1,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f776]) ).

fof(f778,plain,
    ( sQ188_spl
    | ~ product1(e_1,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f776]) ).

fof(f779,definition,
    ( sQ189_spl
  <=> product1(e_1,e_5,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).

fof(f780,plain,
    ( ~ sQ189_spl
    | product1(e_1,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f779]) ).

fof(f781,plain,
    ( sQ189_spl
    | ~ product1(e_1,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f779]) ).

fof(f782,plain,
    ( sQ189_spl
    | sQ188_spl
    | sQ187_spl
    | sQ186_spl
    | sQ185_spl ),
    inference(split_clause,[status(thm)],[f682,f767,f770,f773,f776,f779]) ).

fof(f783,definition,
    ( sQ190_spl
  <=> product1(e_2,e_5,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).

fof(f784,plain,
    ( ~ sQ190_spl
    | product1(e_2,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f783]) ).

fof(f785,plain,
    ( sQ190_spl
    | ~ product1(e_2,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f783]) ).

fof(f786,definition,
    ( sQ191_spl
  <=> product1(e_2,e_5,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).

fof(f787,plain,
    ( ~ sQ191_spl
    | product1(e_2,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f786]) ).

fof(f788,plain,
    ( sQ191_spl
    | ~ product1(e_2,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f786]) ).

fof(f789,definition,
    ( sQ192_spl
  <=> product1(e_2,e_5,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).

fof(f790,plain,
    ( ~ sQ192_spl
    | product1(e_2,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f789]) ).

fof(f791,plain,
    ( sQ192_spl
    | ~ product1(e_2,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f789]) ).

fof(f792,definition,
    ( sQ193_spl
  <=> product1(e_2,e_5,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).

fof(f793,plain,
    ( ~ sQ193_spl
    | product1(e_2,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f792]) ).

fof(f794,plain,
    ( sQ193_spl
    | ~ product1(e_2,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f792]) ).

fof(f795,definition,
    ( sQ194_spl
  <=> product1(e_2,e_5,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).

fof(f796,plain,
    ( ~ sQ194_spl
    | product1(e_2,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f795]) ).

fof(f797,plain,
    ( sQ194_spl
    | ~ product1(e_2,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f795]) ).

fof(f798,plain,
    ( sQ194_spl
    | sQ193_spl
    | sQ192_spl
    | sQ191_spl
    | sQ190_spl ),
    inference(split_clause,[status(thm)],[f683,f783,f786,f789,f792,f795]) ).

fof(f799,definition,
    ( sQ195_spl
  <=> product1(e_3,e_5,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).

fof(f800,plain,
    ( ~ sQ195_spl
    | product1(e_3,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f799]) ).

fof(f801,plain,
    ( sQ195_spl
    | ~ product1(e_3,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f799]) ).

fof(f802,definition,
    ( sQ196_spl
  <=> product1(e_3,e_5,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).

fof(f803,plain,
    ( ~ sQ196_spl
    | product1(e_3,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f802]) ).

fof(f804,plain,
    ( sQ196_spl
    | ~ product1(e_3,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f802]) ).

fof(f805,definition,
    ( sQ197_spl
  <=> product1(e_3,e_5,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).

fof(f806,plain,
    ( ~ sQ197_spl
    | product1(e_3,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f805]) ).

fof(f807,plain,
    ( sQ197_spl
    | ~ product1(e_3,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f805]) ).

fof(f808,definition,
    ( sQ198_spl
  <=> product1(e_3,e_5,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).

fof(f809,plain,
    ( ~ sQ198_spl
    | product1(e_3,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f808]) ).

fof(f810,plain,
    ( sQ198_spl
    | ~ product1(e_3,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f808]) ).

fof(f811,definition,
    ( sQ199_spl
  <=> product1(e_3,e_5,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).

fof(f812,plain,
    ( ~ sQ199_spl
    | product1(e_3,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f811]) ).

fof(f813,plain,
    ( sQ199_spl
    | ~ product1(e_3,e_5,e_5) ),
    inference(component_clause,[status(thm)],[f811]) ).

fof(f814,plain,
    ( sQ199_spl
    | sQ198_spl
    | sQ197_spl
    | sQ196_spl
    | sQ195_spl ),
    inference(split_clause,[status(thm)],[f684,f799,f802,f805,f808,f811]) ).

fof(f815,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)],[f685,f72]) ).

fof(f816,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)],[f685,f71]) ).

fof(f817,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)],[f685,f70]) ).

fof(f818,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)],[f685,f69]) ).

fof(f819,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)],[f685,f68]) ).

fof(f820,definition,
    ( sQ200_spl
  <=> product2(e_5,e_5,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).

fof(f821,plain,
    ( ~ sQ200_spl
    | product2(e_5,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f820]) ).

fof(f822,plain,
    ( sQ200_spl
    | ~ product2(e_5,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f820]) ).

fof(f823,definition,
    ( sQ201_spl
  <=> product2(e_5,e_5,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).

fof(f824,plain,
    ( ~ sQ201_spl
    | product2(e_5,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f823]) ).

fof(f825,plain,
    ( sQ201_spl
    | ~ product2(e_5,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f823]) ).

fof(f826,definition,
    ( sQ202_spl
  <=> product2(e_5,e_5,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).

fof(f827,plain,
    ( ~ sQ202_spl
    | product2(e_5,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f826]) ).

fof(f828,plain,
    ( sQ202_spl
    | ~ product2(e_5,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f826]) ).

fof(f829,definition,
    ( sQ203_spl
  <=> product2(e_5,e_5,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).

fof(f830,plain,
    ( ~ sQ203_spl
    | product2(e_5,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f829]) ).

fof(f831,plain,
    ( sQ203_spl
    | ~ product2(e_5,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f829]) ).

fof(f832,definition,
    ( sQ204_spl
  <=> product2(e_5,e_5,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).

fof(f835,plain,
    ( sQ204_spl
    | sQ203_spl
    | sQ202_spl
    | sQ201_spl
    | sQ200_spl ),
    inference(split_clause,[status(thm)],[f815,f820,f823,f826,f829,f832]) ).

fof(f836,definition,
    ( sQ205_spl
  <=> product2(e_5,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).

fof(f837,plain,
    ( ~ sQ205_spl
    | product2(e_5,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f836]) ).

fof(f838,plain,
    ( sQ205_spl
    | ~ product2(e_5,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f836]) ).

fof(f839,definition,
    ( sQ206_spl
  <=> product2(e_5,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).

fof(f840,plain,
    ( ~ sQ206_spl
    | product2(e_5,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f839]) ).

fof(f841,plain,
    ( sQ206_spl
    | ~ product2(e_5,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f839]) ).

fof(f842,definition,
    ( sQ207_spl
  <=> product2(e_5,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).

fof(f843,plain,
    ( ~ sQ207_spl
    | product2(e_5,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f842]) ).

fof(f844,plain,
    ( sQ207_spl
    | ~ product2(e_5,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f842]) ).

fof(f845,definition,
    ( sQ208_spl
  <=> product2(e_5,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).

fof(f846,plain,
    ( ~ sQ208_spl
    | product2(e_5,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f845]) ).

fof(f847,plain,
    ( sQ208_spl
    | ~ product2(e_5,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f845]) ).

fof(f848,definition,
    ( sQ209_spl
  <=> product2(e_5,e_4,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).

fof(f849,plain,
    ( ~ sQ209_spl
    | product2(e_5,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f848]) ).

fof(f850,plain,
    ( sQ209_spl
    | ~ product2(e_5,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f848]) ).

fof(f851,plain,
    ( sQ209_spl
    | sQ208_spl
    | sQ207_spl
    | sQ206_spl
    | sQ205_spl ),
    inference(split_clause,[status(thm)],[f816,f836,f839,f842,f845,f848]) ).

fof(f852,definition,
    ( sQ210_spl
  <=> product2(e_5,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).

fof(f853,plain,
    ( ~ sQ210_spl
    | product2(e_5,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f852]) ).

fof(f854,plain,
    ( sQ210_spl
    | ~ product2(e_5,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f852]) ).

fof(f855,definition,
    ( sQ211_spl
  <=> product2(e_5,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).

fof(f856,plain,
    ( ~ sQ211_spl
    | product2(e_5,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f855]) ).

fof(f857,plain,
    ( sQ211_spl
    | ~ product2(e_5,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f855]) ).

fof(f858,definition,
    ( sQ212_spl
  <=> product2(e_5,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).

fof(f859,plain,
    ( ~ sQ212_spl
    | product2(e_5,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f858]) ).

fof(f860,plain,
    ( sQ212_spl
    | ~ product2(e_5,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f858]) ).

fof(f861,definition,
    ( sQ213_spl
  <=> product2(e_5,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).

fof(f862,plain,
    ( ~ sQ213_spl
    | product2(e_5,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f861]) ).

fof(f863,plain,
    ( sQ213_spl
    | ~ product2(e_5,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f861]) ).

fof(f864,definition,
    ( sQ214_spl
  <=> product2(e_5,e_3,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).

fof(f865,plain,
    ( ~ sQ214_spl
    | product2(e_5,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f864]) ).

fof(f866,plain,
    ( sQ214_spl
    | ~ product2(e_5,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f864]) ).

fof(f867,plain,
    ( sQ214_spl
    | sQ213_spl
    | sQ212_spl
    | sQ211_spl
    | sQ210_spl ),
    inference(split_clause,[status(thm)],[f817,f852,f855,f858,f861,f864]) ).

fof(f868,definition,
    ( sQ215_spl
  <=> product2(e_5,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).

fof(f869,plain,
    ( ~ sQ215_spl
    | product2(e_5,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f868]) ).

fof(f870,plain,
    ( sQ215_spl
    | ~ product2(e_5,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f868]) ).

fof(f871,definition,
    ( sQ216_spl
  <=> product2(e_5,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).

fof(f872,plain,
    ( ~ sQ216_spl
    | product2(e_5,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f871]) ).

fof(f873,plain,
    ( sQ216_spl
    | ~ product2(e_5,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f871]) ).

fof(f874,definition,
    ( sQ217_spl
  <=> product2(e_5,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).

fof(f875,plain,
    ( ~ sQ217_spl
    | product2(e_5,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f874]) ).

fof(f876,plain,
    ( sQ217_spl
    | ~ product2(e_5,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f874]) ).

fof(f877,definition,
    ( sQ218_spl
  <=> product2(e_5,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).

fof(f878,plain,
    ( ~ sQ218_spl
    | product2(e_5,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f877]) ).

fof(f879,plain,
    ( sQ218_spl
    | ~ product2(e_5,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f877]) ).

fof(f880,definition,
    ( sQ219_spl
  <=> product2(e_5,e_2,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).

fof(f881,plain,
    ( ~ sQ219_spl
    | product2(e_5,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f880]) ).

fof(f882,plain,
    ( sQ219_spl
    | ~ product2(e_5,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f880]) ).

fof(f883,plain,
    ( sQ219_spl
    | sQ218_spl
    | sQ217_spl
    | sQ216_spl
    | sQ215_spl ),
    inference(split_clause,[status(thm)],[f818,f868,f871,f874,f877,f880]) ).

fof(f884,definition,
    ( sQ220_spl
  <=> product2(e_5,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).

fof(f885,plain,
    ( ~ sQ220_spl
    | product2(e_5,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f884]) ).

fof(f886,plain,
    ( sQ220_spl
    | ~ product2(e_5,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f884]) ).

fof(f887,definition,
    ( sQ221_spl
  <=> product2(e_5,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).

fof(f888,plain,
    ( ~ sQ221_spl
    | product2(e_5,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f887]) ).

fof(f889,plain,
    ( sQ221_spl
    | ~ product2(e_5,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f887]) ).

fof(f890,definition,
    ( sQ222_spl
  <=> product2(e_5,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).

fof(f891,plain,
    ( ~ sQ222_spl
    | product2(e_5,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f890]) ).

fof(f892,plain,
    ( sQ222_spl
    | ~ product2(e_5,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f890]) ).

fof(f893,definition,
    ( sQ223_spl
  <=> product2(e_5,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).

fof(f894,plain,
    ( ~ sQ223_spl
    | product2(e_5,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f893]) ).

fof(f895,plain,
    ( sQ223_spl
    | ~ product2(e_5,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f893]) ).

fof(f896,definition,
    ( sQ224_spl
  <=> product2(e_5,e_1,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).

fof(f897,plain,
    ( ~ sQ224_spl
    | product2(e_5,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f896]) ).

fof(f898,plain,
    ( sQ224_spl
    | ~ product2(e_5,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f896]) ).

fof(f899,plain,
    ( sQ224_spl
    | sQ223_spl
    | sQ222_spl
    | sQ221_spl
    | sQ220_spl ),
    inference(split_clause,[status(thm)],[f819,f884,f887,f890,f893,f896]) ).

fof(f900,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)],[f686,f72]) ).

fof(f901,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)],[f686,f71]) ).

fof(f902,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)],[f686,f70]) ).

fof(f903,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)],[f686,f69]) ).

fof(f904,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)],[f686,f68]) ).

fof(f905,definition,
    ( sQ225_spl
  <=> product1(e_5,e_5,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).

fof(f906,plain,
    ( ~ sQ225_spl
    | product1(e_5,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f905]) ).

fof(f907,plain,
    ( sQ225_spl
    | ~ product1(e_5,e_5,e_1) ),
    inference(component_clause,[status(thm)],[f905]) ).

fof(f908,definition,
    ( sQ226_spl
  <=> product1(e_5,e_5,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).

fof(f909,plain,
    ( ~ sQ226_spl
    | product1(e_5,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f908]) ).

fof(f910,plain,
    ( sQ226_spl
    | ~ product1(e_5,e_5,e_2) ),
    inference(component_clause,[status(thm)],[f908]) ).

fof(f911,definition,
    ( sQ227_spl
  <=> product1(e_5,e_5,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).

fof(f912,plain,
    ( ~ sQ227_spl
    | product1(e_5,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f911]) ).

fof(f913,plain,
    ( sQ227_spl
    | ~ product1(e_5,e_5,e_3) ),
    inference(component_clause,[status(thm)],[f911]) ).

fof(f914,definition,
    ( sQ228_spl
  <=> product1(e_5,e_5,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).

fof(f915,plain,
    ( ~ sQ228_spl
    | product1(e_5,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f914]) ).

fof(f916,plain,
    ( sQ228_spl
    | ~ product1(e_5,e_5,e_4) ),
    inference(component_clause,[status(thm)],[f914]) ).

fof(f917,definition,
    ( sQ229_spl
  <=> product1(e_5,e_5,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).

fof(f920,plain,
    ( sQ229_spl
    | sQ228_spl
    | sQ227_spl
    | sQ226_spl
    | sQ225_spl ),
    inference(split_clause,[status(thm)],[f900,f905,f908,f911,f914,f917]) ).

fof(f921,definition,
    ( sQ230_spl
  <=> product1(e_5,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).

fof(f922,plain,
    ( ~ sQ230_spl
    | product1(e_5,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f921]) ).

fof(f923,plain,
    ( sQ230_spl
    | ~ product1(e_5,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f921]) ).

fof(f924,definition,
    ( sQ231_spl
  <=> product1(e_5,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).

fof(f925,plain,
    ( ~ sQ231_spl
    | product1(e_5,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f924]) ).

fof(f926,plain,
    ( sQ231_spl
    | ~ product1(e_5,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f924]) ).

fof(f927,definition,
    ( sQ232_spl
  <=> product1(e_5,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).

fof(f928,plain,
    ( ~ sQ232_spl
    | product1(e_5,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f927]) ).

fof(f929,plain,
    ( sQ232_spl
    | ~ product1(e_5,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f927]) ).

fof(f930,definition,
    ( sQ233_spl
  <=> product1(e_5,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).

fof(f931,plain,
    ( ~ sQ233_spl
    | product1(e_5,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f930]) ).

fof(f932,plain,
    ( sQ233_spl
    | ~ product1(e_5,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f930]) ).

fof(f933,definition,
    ( sQ234_spl
  <=> product1(e_5,e_4,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).

fof(f934,plain,
    ( ~ sQ234_spl
    | product1(e_5,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f933]) ).

fof(f935,plain,
    ( sQ234_spl
    | ~ product1(e_5,e_4,e_5) ),
    inference(component_clause,[status(thm)],[f933]) ).

fof(f936,plain,
    ( sQ234_spl
    | sQ233_spl
    | sQ232_spl
    | sQ231_spl
    | sQ230_spl ),
    inference(split_clause,[status(thm)],[f901,f921,f924,f927,f930,f933]) ).

fof(f937,definition,
    ( sQ235_spl
  <=> product1(e_5,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).

fof(f938,plain,
    ( ~ sQ235_spl
    | product1(e_5,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f937]) ).

fof(f939,plain,
    ( sQ235_spl
    | ~ product1(e_5,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f937]) ).

fof(f940,definition,
    ( sQ236_spl
  <=> product1(e_5,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).

fof(f941,plain,
    ( ~ sQ236_spl
    | product1(e_5,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f940]) ).

fof(f942,plain,
    ( sQ236_spl
    | ~ product1(e_5,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f940]) ).

fof(f943,definition,
    ( sQ237_spl
  <=> product1(e_5,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).

fof(f944,plain,
    ( ~ sQ237_spl
    | product1(e_5,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f943]) ).

fof(f945,plain,
    ( sQ237_spl
    | ~ product1(e_5,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f943]) ).

fof(f946,definition,
    ( sQ238_spl
  <=> product1(e_5,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).

fof(f947,plain,
    ( ~ sQ238_spl
    | product1(e_5,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f946]) ).

fof(f948,plain,
    ( sQ238_spl
    | ~ product1(e_5,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f946]) ).

fof(f949,definition,
    ( sQ239_spl
  <=> product1(e_5,e_3,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).

fof(f950,plain,
    ( ~ sQ239_spl
    | product1(e_5,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f949]) ).

fof(f951,plain,
    ( sQ239_spl
    | ~ product1(e_5,e_3,e_5) ),
    inference(component_clause,[status(thm)],[f949]) ).

fof(f952,plain,
    ( sQ239_spl
    | sQ238_spl
    | sQ237_spl
    | sQ236_spl
    | sQ235_spl ),
    inference(split_clause,[status(thm)],[f902,f937,f940,f943,f946,f949]) ).

fof(f953,definition,
    ( sQ240_spl
  <=> product1(e_5,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).

fof(f954,plain,
    ( ~ sQ240_spl
    | product1(e_5,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f953]) ).

fof(f955,plain,
    ( sQ240_spl
    | ~ product1(e_5,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f953]) ).

fof(f956,definition,
    ( sQ241_spl
  <=> product1(e_5,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).

fof(f957,plain,
    ( ~ sQ241_spl
    | product1(e_5,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f956]) ).

fof(f958,plain,
    ( sQ241_spl
    | ~ product1(e_5,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f956]) ).

fof(f959,definition,
    ( sQ242_spl
  <=> product1(e_5,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).

fof(f960,plain,
    ( ~ sQ242_spl
    | product1(e_5,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f959]) ).

fof(f961,plain,
    ( sQ242_spl
    | ~ product1(e_5,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f959]) ).

fof(f962,definition,
    ( sQ243_spl
  <=> product1(e_5,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).

fof(f963,plain,
    ( ~ sQ243_spl
    | product1(e_5,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f962]) ).

fof(f964,plain,
    ( sQ243_spl
    | ~ product1(e_5,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f962]) ).

fof(f965,definition,
    ( sQ244_spl
  <=> product1(e_5,e_2,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).

fof(f966,plain,
    ( ~ sQ244_spl
    | product1(e_5,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f965]) ).

fof(f967,plain,
    ( sQ244_spl
    | ~ product1(e_5,e_2,e_5) ),
    inference(component_clause,[status(thm)],[f965]) ).

fof(f968,plain,
    ( sQ244_spl
    | sQ243_spl
    | sQ242_spl
    | sQ241_spl
    | sQ240_spl ),
    inference(split_clause,[status(thm)],[f903,f953,f956,f959,f962,f965]) ).

fof(f969,definition,
    ( sQ245_spl
  <=> product1(e_5,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).

fof(f970,plain,
    ( ~ sQ245_spl
    | product1(e_5,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f969]) ).

fof(f971,plain,
    ( sQ245_spl
    | ~ product1(e_5,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f969]) ).

fof(f972,definition,
    ( sQ246_spl
  <=> product1(e_5,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).

fof(f973,plain,
    ( ~ sQ246_spl
    | product1(e_5,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f972]) ).

fof(f974,plain,
    ( sQ246_spl
    | ~ product1(e_5,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f972]) ).

fof(f975,definition,
    ( sQ247_spl
  <=> product1(e_5,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).

fof(f976,plain,
    ( ~ sQ247_spl
    | product1(e_5,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f975]) ).

fof(f977,plain,
    ( sQ247_spl
    | ~ product1(e_5,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f975]) ).

fof(f978,definition,
    ( sQ248_spl
  <=> product1(e_5,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).

fof(f979,plain,
    ( ~ sQ248_spl
    | product1(e_5,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f978]) ).

fof(f980,plain,
    ( sQ248_spl
    | ~ product1(e_5,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f978]) ).

fof(f981,definition,
    ( sQ249_spl
  <=> product1(e_5,e_1,e_5) ),
    introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).

fof(f982,plain,
    ( ~ sQ249_spl
    | product1(e_5,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f981]) ).

fof(f983,plain,
    ( sQ249_spl
    | ~ product1(e_5,e_1,e_5) ),
    inference(component_clause,[status(thm)],[f981]) ).

fof(f984,plain,
    ( sQ249_spl
    | sQ248_spl
    | sQ247_spl
    | sQ246_spl
    | sQ245_spl ),
    inference(split_clause,[status(thm)],[f904,f969,f972,f975,f978,f981]) ).

fof(f985,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f172,f99]) ).

fof(f986,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | equalish(e_1,X0)
      | ~ product1(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f172,f97]) ).

fof(f987,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | equalish(e_5,X0)
      | ~ product1(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f172,f95]) ).

fof(f988,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | product2(X0,e_1,e_3)
      | ~ product1(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f172,f110]) ).

fof(f992,plain,
    ( ~ sQ14_spl
    | ~ sQ13_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f169,f987]) ).

fof(f993,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f169,f99]) ).

fof(f994,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | equalish(e_1,X0)
      | ~ product1(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f169,f97]) ).

fof(f995,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | equalish(e_4,X0)
      | ~ product1(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f169,f95]) ).

fof(f996,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | product2(X0,e_1,e_3)
      | ~ product1(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f169,f110]) ).

fof(f997,plain,
    ( ~ sQ14_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f992,f92]) ).

fof(f998,plain,
    ( ~ sQ14_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f997]) ).

fof(f999,plain,
    ( ~ sQ12_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f166,f111]) ).

fof(f1000,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f166,f99]) ).

fof(f1001,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | equalish(e_1,X0)
      | ~ product1(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f166,f97]) ).

fof(f1002,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | equalish(e_3,X0)
      | ~ product1(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f166,f95]) ).

fof(f1003,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | product2(X0,e_1,e_3)
      | ~ product1(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f166,f110]) ).

fof(f1004,plain,
    ( ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f999,f81]) ).

fof(f1005,plain,
    ~ sQ12_spl,
    inference(contradiction_clause,[status(thm)],[f1004]) ).

fof(f1006,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f163,f99]) ).

fof(f1007,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | equalish(e_1,X0)
      | ~ product1(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f163,f97]) ).

fof(f1008,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | equalish(e_2,X0)
      | ~ product1(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f163,f95]) ).

fof(f1009,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | product2(X0,e_1,e_3)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f163,f110]) ).

fof(f1014,plain,
    ( ~ sQ10_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f160,f114]) ).

fof(f1015,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f160,f99]) ).

fof(f1016,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | equalish(e_1,X0)
      | ~ product1(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f160,f97]) ).

fof(f1017,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | equalish(e_1,X0)
      | ~ product1(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f160,f95]) ).

fof(f1018,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | product2(X0,e_1,e_3)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f160,f110]) ).

fof(f1021,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f156,f99]) ).

fof(f1022,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | equalish(e_2,X0)
      | ~ product1(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f156,f97]) ).

fof(f1023,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | equalish(e_5,X0)
      | ~ product1(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f156,f95]) ).

fof(f1024,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | product2(X0,e_2,e_3)
      | ~ product1(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f156,f110]) ).

fof(f1028,plain,
    ( ~ sQ9_spl
    | ~ sQ8_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f153,f1023]) ).

fof(f1029,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f153,f99]) ).

fof(f1030,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | equalish(e_2,X0)
      | ~ product1(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f153,f97]) ).

fof(f1031,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | equalish(e_4,X0)
      | ~ product1(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f153,f95]) ).

fof(f1032,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | product2(X0,e_2,e_3)
      | ~ product1(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f153,f110]) ).

fof(f1033,plain,
    ( ~ sQ9_spl
    | ~ sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1028,f92]) ).

fof(f1034,plain,
    ( ~ sQ9_spl
    | ~ sQ8_spl ),
    inference(contradiction_clause,[status(thm)],[f1033]) ).

fof(f1035,plain,
    ( ~ sQ7_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f150,f111]) ).

fof(f1036,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f150,f99]) ).

fof(f1037,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | equalish(e_2,X0)
      | ~ product1(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f150,f97]) ).

fof(f1038,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | equalish(e_3,X0)
      | ~ product1(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f150,f95]) ).

fof(f1039,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | product2(X0,e_2,e_3)
      | ~ product1(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f150,f110]) ).

fof(f1040,plain,
    ( ~ sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1035,f82]) ).

fof(f1041,plain,
    ~ sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f1040]) ).

fof(f1043,plain,
    ( ~ sQ6_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f147,f114]) ).

fof(f1044,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f147,f99]) ).

fof(f1045,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | equalish(e_2,X0)
      | ~ product1(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f147,f97]) ).

fof(f1046,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | equalish(e_2,X0)
      | ~ product1(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f147,f95]) ).

fof(f1047,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | product2(X0,e_2,e_3)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f147,f110]) ).

fof(f1050,plain,
    ( ~ sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1014,f74]) ).

fof(f1051,plain,
    ~ sQ10_spl,
    inference(contradiction_clause,[status(thm)],[f1050]) ).

fof(f1052,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f144,f99]) ).

fof(f1053,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | equalish(e_2,X0)
      | ~ product1(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f144,f97]) ).

fof(f1054,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | equalish(e_1,X0)
      | ~ product1(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f144,f95]) ).

fof(f1055,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | product2(X0,e_2,e_3)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f144,f110]) ).

fof(f1058,plain,
    ( ~ sQ4_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f140,f112]) ).

fof(f1059,plain,
    ( ~ sQ4_spl
    | product2(e_5,e_3,e_3) ),
    inference(resolution,[status(thm)],[f140,f113]) ).

fof(f1060,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f140,f99]) ).

fof(f1061,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | equalish(e_3,X0)
      | ~ product1(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f140,f97]) ).

fof(f1062,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | equalish(e_5,X0)
      | ~ product1(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f140,f95]) ).

fof(f1063,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | product2(X0,e_3,e_3)
      | ~ product1(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f140,f110]) ).

fof(f1064,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1058,f84]) ).

fof(f1065,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f1064]) ).

fof(f1066,plain,
    ! [X0] :
      ( ~ sQ29_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f223,f99]) ).

fof(f1067,plain,
    ! [X0] :
      ( ~ sQ29_spl
      | equalish(e_1,X0)
      | ~ product1(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f223,f97]) ).

fof(f1068,plain,
    ! [X0] :
      ( ~ sQ29_spl
      | equalish(e_5,X0)
      | ~ product1(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f223,f95]) ).

fof(f1069,plain,
    ! [X0] :
      ( ~ sQ29_spl
      | product2(X0,e_1,e_2)
      | ~ product1(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f223,f110]) ).

fof(f1070,plain,
    ( ~ sQ13_spl
    | ~ sQ28_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f220,f993]) ).

fof(f1071,plain,
    ! [X0] :
      ( ~ sQ28_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f220,f99]) ).

fof(f1072,plain,
    ! [X0] :
      ( ~ sQ28_spl
      | equalish(e_1,X0)
      | ~ product1(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f220,f97]) ).

fof(f1073,plain,
    ! [X0] :
      ( ~ sQ28_spl
      | equalish(e_4,X0)
      | ~ product1(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f220,f95]) ).

fof(f1074,plain,
    ! [X0] :
      ( ~ sQ28_spl
      | product2(X0,e_1,e_2)
      | ~ product1(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f220,f110]) ).

fof(f1075,plain,
    ( ~ sQ13_spl
    | ~ sQ28_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1070,f82]) ).

fof(f1076,plain,
    ( ~ sQ13_spl
    | ~ sQ28_spl ),
    inference(contradiction_clause,[status(thm)],[f1075]) ).

fof(f1077,plain,
    ! [X0] :
      ( ~ sQ27_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f217,f99]) ).

fof(f1078,plain,
    ! [X0] :
      ( ~ sQ27_spl
      | equalish(e_1,X0)
      | ~ product1(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f217,f97]) ).

fof(f1079,plain,
    ! [X0] :
      ( ~ sQ27_spl
      | equalish(e_3,X0)
      | ~ product1(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f217,f95]) ).

fof(f1080,plain,
    ! [X0] :
      ( ~ sQ27_spl
      | product2(X0,e_1,e_2)
      | ~ product1(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f217,f110]) ).

fof(f1081,plain,
    ( ~ sQ26_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f214,f111]) ).

fof(f1082,plain,
    ! [X0] :
      ( ~ sQ26_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f214,f99]) ).

fof(f1083,plain,
    ! [X0] :
      ( ~ sQ26_spl
      | equalish(e_1,X0)
      | ~ product1(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f214,f97]) ).

fof(f1084,plain,
    ! [X0] :
      ( ~ sQ26_spl
      | equalish(e_2,X0)
      | ~ product1(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f214,f95]) ).

fof(f1085,plain,
    ! [X0] :
      ( ~ sQ26_spl
      | product2(X0,e_1,e_2)
      | ~ product1(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f214,f110]) ).

fof(f1086,plain,
    ( ~ sQ26_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1081,f77]) ).

fof(f1087,plain,
    ~ sQ26_spl,
    inference(contradiction_clause,[status(thm)],[f1086]) ).

fof(f1088,plain,
    ( ~ sQ25_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f211,f114]) ).

fof(f1089,plain,
    ! [X0] :
      ( ~ sQ25_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f211,f99]) ).

fof(f1090,plain,
    ! [X0] :
      ( ~ sQ25_spl
      | equalish(e_1,X0)
      | ~ product1(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f211,f97]) ).

fof(f1091,plain,
    ! [X0] :
      ( ~ sQ25_spl
      | equalish(e_1,X0)
      | ~ product1(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f211,f95]) ).

fof(f1092,plain,
    ! [X0] :
      ( ~ sQ25_spl
      | product2(X0,e_1,e_2)
      | ~ product1(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f211,f110]) ).

fof(f1093,plain,
    ( ~ sQ25_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1088,f73]) ).

fof(f1094,plain,
    ~ sQ25_spl,
    inference(contradiction_clause,[status(thm)],[f1093]) ).

fof(f1095,plain,
    ( ~ sQ24_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f207,f112]) ).

fof(f1096,plain,
    ( ~ sQ24_spl
    | product2(e_5,e_2,e_2) ),
    inference(resolution,[status(thm)],[f207,f113]) ).

fof(f1097,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f207,f99]) ).

fof(f1098,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | equalish(e_2,X0)
      | ~ product1(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f207,f97]) ).

fof(f1099,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | equalish(e_5,X0)
      | ~ product1(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f207,f95]) ).

fof(f1100,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | product2(X0,e_2,e_2)
      | ~ product1(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f207,f110]) ).

fof(f1101,plain,
    ( ~ sQ24_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1095,f80]) ).

fof(f1102,plain,
    ~ sQ24_spl,
    inference(contradiction_clause,[status(thm)],[f1101]) ).

fof(f1103,plain,
    ( ~ sQ23_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f204,f112]) ).

fof(f1104,plain,
    ( ~ sQ23_spl
    | product2(e_4,e_2,e_2) ),
    inference(resolution,[status(thm)],[f204,f113]) ).

fof(f1105,plain,
    ! [X0] :
      ( ~ sQ23_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f204,f99]) ).

fof(f1106,plain,
    ! [X0] :
      ( ~ sQ23_spl
      | equalish(e_2,X0)
      | ~ product1(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f204,f97]) ).

fof(f1107,plain,
    ! [X0] :
      ( ~ sQ23_spl
      | equalish(e_4,X0)
      | ~ product1(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f204,f95]) ).

fof(f1108,plain,
    ! [X0] :
      ( ~ sQ23_spl
      | product2(X0,e_2,e_2)
      | ~ product1(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f204,f110]) ).

fof(f1109,plain,
    ( ~ sQ23_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1103,f79]) ).

fof(f1110,plain,
    ~ sQ23_spl,
    inference(contradiction_clause,[status(thm)],[f1109]) ).

fof(f1111,plain,
    ( ~ sQ22_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f201,f112]) ).

fof(f1112,plain,
    ( ~ sQ22_spl
    | product2(e_3,e_2,e_2) ),
    inference(resolution,[status(thm)],[f201,f113]) ).

fof(f1113,plain,
    ! [X0] :
      ( ~ sQ22_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f201,f99]) ).

fof(f1114,plain,
    ! [X0] :
      ( ~ sQ22_spl
      | equalish(e_2,X0)
      | ~ product1(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f201,f97]) ).

fof(f1115,plain,
    ! [X0] :
      ( ~ sQ22_spl
      | equalish(e_3,X0)
      | ~ product1(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f201,f95]) ).

fof(f1116,plain,
    ! [X0] :
      ( ~ sQ22_spl
      | product2(X0,e_2,e_2)
      | ~ product1(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f201,f110]) ).

fof(f1117,plain,
    ( ~ sQ22_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1111,f78]) ).

fof(f1118,plain,
    ~ sQ22_spl,
    inference(contradiction_clause,[status(thm)],[f1117]) ).

fof(f1119,plain,
    ( ~ sQ5_spl
    | ~ sQ27_spl
    | product2(e_1,e_1,e_2) ),
    inference(resolution,[status(thm)],[f1080,f144]) ).

fof(f1120,plain,
    ( ~ sQ5_spl
    | ~ sQ27_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f1119,f115]) ).

fof(f1121,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ sQ27_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f1119,f107]) ).

fof(f1122,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ sQ27_spl
      | equalish(e_1,X0)
      | ~ product2(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f1119,f105]) ).

fof(f1123,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | ~ sQ27_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f1119,f103]) ).

fof(f1124,plain,
    ( ~ sQ5_spl
    | ~ sQ27_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1120,f73]) ).

fof(f1125,plain,
    ( ~ sQ5_spl
    | ~ sQ27_spl ),
    inference(contradiction_clause,[status(thm)],[f1124]) ).

fof(f1131,plain,
    ( ~ sQ20_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f195,f112]) ).

fof(f1132,plain,
    ( ~ sQ20_spl
    | product2(e_1,e_2,e_2) ),
    inference(resolution,[status(thm)],[f195,f113]) ).

fof(f1133,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f195,f99]) ).

fof(f1134,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | equalish(e_2,X0)
      | ~ product1(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f195,f97]) ).

fof(f1135,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | equalish(e_1,X0)
      | ~ product1(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f195,f95]) ).

fof(f1136,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | product2(X0,e_2,e_2)
      | ~ product1(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f195,f110]) ).

fof(f1139,plain,
    ( ~ sQ11_spl
    | ~ sQ19_spl
    | product2(e_5,e_1,e_3) ),
    inference(resolution,[status(thm)],[f191,f1009]) ).

fof(f1140,plain,
    ( ~ sQ29_spl
    | ~ sQ19_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f191,f1067]) ).

fof(f1141,plain,
    ! [X0] :
      ( ~ sQ19_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f191,f99]) ).

fof(f1142,plain,
    ! [X0] :
      ( ~ sQ19_spl
      | equalish(e_3,X0)
      | ~ product1(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f191,f97]) ).

fof(f1143,plain,
    ! [X0] :
      ( ~ sQ19_spl
      | equalish(e_5,X0)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f191,f95]) ).

fof(f1144,plain,
    ! [X0] :
      ( ~ sQ19_spl
      | product2(X0,e_3,e_2)
      | ~ product1(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f191,f110]) ).

fof(f1145,plain,
    ( ~ sQ29_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1140,f74]) ).

fof(f1146,plain,
    ( ~ sQ29_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f1145]) ).

fof(f1147,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | product2(e_4,e_1,e_3) ),
    inference(resolution,[status(thm)],[f188,f1009]) ).

fof(f1148,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f188,f99]) ).

fof(f1149,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | equalish(e_3,X0)
      | ~ product1(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f188,f97]) ).

fof(f1150,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | equalish(e_4,X0)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f188,f95]) ).

fof(f1151,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | product2(X0,e_3,e_2)
      | ~ product1(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f188,f110]) ).

fof(f1152,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ sQ18_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f1147,f107]) ).

fof(f1153,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ sQ18_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f1147,f105]) ).

fof(f1154,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ sQ18_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f1147,f103]) ).

fof(f1162,plain,
    ( ~ sQ11_spl
    | ~ sQ17_spl
    | product2(e_3,e_1,e_3) ),
    inference(resolution,[status(thm)],[f185,f1009]) ).

fof(f1163,plain,
    ( ~ sQ17_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f185,f114]) ).

fof(f1164,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f185,f99]) ).

fof(f1165,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | equalish(e_3,X0)
      | ~ product1(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f185,f97]) ).

fof(f1166,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | equalish(e_3,X0)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f185,f95]) ).

fof(f1167,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | product2(X0,e_3,e_2)
      | ~ product1(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f185,f110]) ).

fof(f1171,plain,
    ( ~ sQ11_spl
    | ~ sQ16_spl
    | product2(e_2,e_1,e_3) ),
    inference(resolution,[status(thm)],[f182,f1009]) ).

fof(f1172,plain,
    ( ~ sQ16_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f182,f111]) ).

fof(f1173,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f182,f99]) ).

fof(f1174,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | equalish(e_3,X0)
      | ~ product1(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f182,f97]) ).

fof(f1175,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | equalish(e_2,X0)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f182,f95]) ).

fof(f1176,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | product2(X0,e_3,e_2)
      | ~ product1(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f182,f110]) ).

fof(f1179,plain,
    ( ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1172,f78]) ).

fof(f1180,plain,
    ~ sQ16_spl,
    inference(contradiction_clause,[status(thm)],[f1179]) ).

fof(f1181,plain,
    ( ~ sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1163,f82]) ).

fof(f1182,plain,
    ~ sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f1181]) ).

fof(f1183,plain,
    ( ~ sQ11_spl
    | ~ sQ15_spl
    | product2(e_1,e_1,e_3) ),
    inference(resolution,[status(thm)],[f179,f1009]) ).

fof(f1184,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f179,f99]) ).

fof(f1185,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | equalish(e_3,X0)
      | ~ product1(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f179,f97]) ).

fof(f1186,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | equalish(e_1,X0)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f179,f95]) ).

fof(f1187,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | product2(X0,e_3,e_2)
      | ~ product1(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f179,f110]) ).

fof(f1188,plain,
    ( ~ sQ11_spl
    | ~ sQ15_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f1183,f115]) ).

fof(f1189,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ sQ15_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f1183,f107]) ).

fof(f1190,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ sQ15_spl
      | equalish(e_1,X0)
      | ~ product2(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f1183,f105]) ).

fof(f1191,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ sQ15_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f1183,f103]) ).

fof(f1192,plain,
    ( ~ sQ11_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1188,f74]) ).

fof(f1193,plain,
    ( ~ sQ11_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f1192]) ).

fof(f1194,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1043,f78]) ).

fof(f1195,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f1194]) ).

fof(f1196,plain,
    ( ~ sQ44_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f274,f112]) ).

fof(f1197,plain,
    ( ~ sQ44_spl
    | product2(e_5,e_1,e_1) ),
    inference(resolution,[status(thm)],[f274,f113]) ).

fof(f1198,plain,
    ! [X0] :
      ( ~ sQ44_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f274,f99]) ).

fof(f1199,plain,
    ! [X0] :
      ( ~ sQ44_spl
      | equalish(e_1,X0)
      | ~ product1(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f274,f97]) ).

fof(f1200,plain,
    ! [X0] :
      ( ~ sQ44_spl
      | equalish(e_5,X0)
      | ~ product1(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f274,f95]) ).

fof(f1201,plain,
    ! [X0] :
      ( ~ sQ44_spl
      | product2(X0,e_1,e_1)
      | ~ product1(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f274,f110]) ).

fof(f1202,plain,
    ( ~ sQ44_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1196,f76]) ).

fof(f1203,plain,
    ~ sQ44_spl,
    inference(contradiction_clause,[status(thm)],[f1202]) ).

fof(f1205,plain,
    ( ~ sQ43_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f271,f112]) ).

fof(f1206,plain,
    ( ~ sQ43_spl
    | product2(e_4,e_1,e_1) ),
    inference(resolution,[status(thm)],[f271,f113]) ).

fof(f1207,plain,
    ! [X0] :
      ( ~ sQ43_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f271,f99]) ).

fof(f1208,plain,
    ! [X0] :
      ( ~ sQ43_spl
      | equalish(e_1,X0)
      | ~ product1(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f271,f97]) ).

fof(f1209,plain,
    ! [X0] :
      ( ~ sQ43_spl
      | equalish(e_4,X0)
      | ~ product1(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f271,f95]) ).

fof(f1210,plain,
    ! [X0] :
      ( ~ sQ43_spl
      | product2(X0,e_1,e_1)
      | ~ product1(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f271,f110]) ).

fof(f1213,plain,
    ( ~ sQ43_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1205,f75]) ).

fof(f1214,plain,
    ~ sQ43_spl,
    inference(contradiction_clause,[status(thm)],[f1213]) ).

fof(f1221,plain,
    ( ~ sQ42_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f268,f112]) ).

fof(f1222,plain,
    ( ~ sQ42_spl
    | product2(e_3,e_1,e_1) ),
    inference(resolution,[status(thm)],[f268,f113]) ).

fof(f1223,plain,
    ! [X0] :
      ( ~ sQ42_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f268,f99]) ).

fof(f1224,plain,
    ! [X0] :
      ( ~ sQ42_spl
      | equalish(e_1,X0)
      | ~ product1(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f268,f97]) ).

fof(f1225,plain,
    ! [X0] :
      ( ~ sQ42_spl
      | equalish(e_3,X0)
      | ~ product1(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f268,f95]) ).

fof(f1226,plain,
    ! [X0] :
      ( ~ sQ42_spl
      | product2(X0,e_1,e_1)
      | ~ product1(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f268,f110]) ).

fof(f1227,plain,
    ( ~ sQ42_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1221,f74]) ).

fof(f1228,plain,
    ~ sQ42_spl,
    inference(contradiction_clause,[status(thm)],[f1227]) ).

fof(f1229,plain,
    ( ~ sQ11_spl
    | ~ sQ41_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f265,f1006]) ).

fof(f1230,plain,
    ( ~ sQ41_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f265,f112]) ).

fof(f1231,plain,
    ( ~ sQ41_spl
    | product2(e_2,e_1,e_1) ),
    inference(resolution,[status(thm)],[f265,f113]) ).

fof(f1232,plain,
    ! [X0] :
      ( ~ sQ41_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f265,f99]) ).

fof(f1233,plain,
    ! [X0] :
      ( ~ sQ41_spl
      | equalish(e_1,X0)
      | ~ product1(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f265,f97]) ).

fof(f1234,plain,
    ! [X0] :
      ( ~ sQ41_spl
      | equalish(e_2,X0)
      | ~ product1(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f265,f95]) ).

fof(f1235,plain,
    ! [X0] :
      ( ~ sQ41_spl
      | product2(X0,e_1,e_1)
      | ~ product1(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f265,f110]) ).

fof(f1236,plain,
    ( ~ sQ11_spl
    | ~ sQ41_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1229,f81]) ).

fof(f1237,plain,
    ( ~ sQ11_spl
    | ~ sQ41_spl ),
    inference(contradiction_clause,[status(thm)],[f1236]) ).

fof(f1238,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f258,f99]) ).

fof(f1239,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | equalish(e_2,X0)
      | ~ product1(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f258,f97]) ).

fof(f1240,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | equalish(e_5,X0)
      | ~ product1(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f258,f95]) ).

fof(f1241,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | product2(X0,e_2,e_1)
      | ~ product1(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f258,f110]) ).

fof(f1243,plain,
    ( ~ sQ8_spl
    | ~ sQ38_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f255,f1029]) ).

fof(f1244,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f255,f99]) ).

fof(f1245,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | equalish(e_2,X0)
      | ~ product1(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f255,f97]) ).

fof(f1246,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | equalish(e_4,X0)
      | ~ product1(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f255,f95]) ).

fof(f1247,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | product2(X0,e_2,e_1)
      | ~ product1(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f255,f110]) ).

fof(f1248,plain,
    ( ~ sQ8_spl
    | ~ sQ38_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1243,f81]) ).

fof(f1249,plain,
    ( ~ sQ8_spl
    | ~ sQ38_spl ),
    inference(contradiction_clause,[status(thm)],[f1248]) ).

fof(f1250,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f252,f99]) ).

fof(f1251,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | equalish(e_2,X0)
      | ~ product1(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f252,f97]) ).

fof(f1252,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | equalish(e_3,X0)
      | ~ product1(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f252,f95]) ).

fof(f1253,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | product2(X0,e_2,e_1)
      | ~ product1(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f252,f110]) ).

fof(f1254,plain,
    ( ~ sQ36_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f249,f114]) ).

fof(f1255,plain,
    ! [X0] :
      ( ~ sQ36_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f249,f99]) ).

fof(f1256,plain,
    ! [X0] :
      ( ~ sQ36_spl
      | equalish(e_2,X0)
      | ~ product1(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f249,f97]) ).

fof(f1257,plain,
    ! [X0] :
      ( ~ sQ36_spl
      | equalish(e_2,X0)
      | ~ product1(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f249,f95]) ).

fof(f1258,plain,
    ! [X0] :
      ( ~ sQ36_spl
      | product2(X0,e_2,e_1)
      | ~ product1(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f249,f110]) ).

fof(f1259,plain,
    ( ~ sQ36_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1254,f77]) ).

fof(f1260,plain,
    ~ sQ36_spl,
    inference(contradiction_clause,[status(thm)],[f1259]) ).

fof(f1261,plain,
    ( ~ sQ35_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f246,f111]) ).

fof(f1262,plain,
    ! [X0] :
      ( ~ sQ35_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f246,f99]) ).

fof(f1263,plain,
    ! [X0] :
      ( ~ sQ35_spl
      | equalish(e_2,X0)
      | ~ product1(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f246,f97]) ).

fof(f1264,plain,
    ! [X0] :
      ( ~ sQ35_spl
      | equalish(e_1,X0)
      | ~ product1(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f246,f95]) ).

fof(f1265,plain,
    ! [X0] :
      ( ~ sQ35_spl
      | product2(X0,e_2,e_1)
      | ~ product1(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f246,f110]) ).

fof(f1266,plain,
    ( ~ sQ35_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1261,f73]) ).

fof(f1267,plain,
    ~ sQ35_spl,
    inference(contradiction_clause,[status(thm)],[f1266]) ).

fof(f1268,plain,
    ! [X0] :
      ( ~ sQ34_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f242,f99]) ).

fof(f1269,plain,
    ! [X0] :
      ( ~ sQ34_spl
      | equalish(e_3,X0)
      | ~ product1(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f242,f97]) ).

fof(f1270,plain,
    ! [X0] :
      ( ~ sQ34_spl
      | equalish(e_5,X0)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f242,f95]) ).

fof(f1271,plain,
    ! [X0] :
      ( ~ sQ34_spl
      | product2(X0,e_3,e_1)
      | ~ product1(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f242,f110]) ).

fof(f1272,plain,
    ( ~ sQ18_spl
    | ~ sQ33_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f239,f1148]) ).

fof(f1273,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f239,f99]) ).

fof(f1274,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | equalish(e_3,X0)
      | ~ product1(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f239,f97]) ).

fof(f1275,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | equalish(e_4,X0)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f239,f95]) ).

fof(f1276,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | product2(X0,e_3,e_1)
      | ~ product1(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f239,f110]) ).

fof(f1277,plain,
    ( ~ sQ18_spl
    | ~ sQ33_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1272,f77]) ).

fof(f1278,plain,
    ( ~ sQ18_spl
    | ~ sQ33_spl ),
    inference(contradiction_clause,[status(thm)],[f1277]) ).

fof(f1279,plain,
    ( ~ sQ32_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f236,f114]) ).

fof(f1280,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f236,f99]) ).

fof(f1281,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | equalish(e_3,X0)
      | ~ product1(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f236,f97]) ).

fof(f1282,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | equalish(e_3,X0)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f236,f95]) ).

fof(f1283,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | product2(X0,e_3,e_1)
      | ~ product1(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f236,f110]) ).

fof(f1284,plain,
    ( ~ sQ32_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1279,f81]) ).

fof(f1285,plain,
    ~ sQ32_spl,
    inference(contradiction_clause,[status(thm)],[f1284]) ).

fof(f1286,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f233,f99]) ).

fof(f1287,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | equalish(e_3,X0)
      | ~ product1(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f233,f97]) ).

fof(f1288,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | equalish(e_2,X0)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f233,f95]) ).

fof(f1289,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | product2(X0,e_3,e_1)
      | ~ product1(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f233,f110]) ).

fof(f1290,plain,
    ( ~ sQ30_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f230,f111]) ).

fof(f1291,plain,
    ! [X0] :
      ( ~ sQ30_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f230,f99]) ).

fof(f1292,plain,
    ! [X0] :
      ( ~ sQ30_spl
      | equalish(e_3,X0)
      | ~ product1(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f230,f97]) ).

fof(f1293,plain,
    ! [X0] :
      ( ~ sQ30_spl
      | equalish(e_1,X0)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f230,f95]) ).

fof(f1294,plain,
    ! [X0] :
      ( ~ sQ30_spl
      | product2(X0,e_3,e_1)
      | ~ product1(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f230,f110]) ).

fof(f1295,plain,
    ( ~ sQ30_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1290,f74]) ).

fof(f1296,plain,
    ~ sQ30_spl,
    inference(contradiction_clause,[status(thm)],[f1295]) ).

fof(f1297,plain,
    ( ~ sQ37_spl
    | ~ sQ15_spl
    | product2(e_3,e_3,e_2) ),
    inference(resolution,[status(thm)],[f1187,f252]) ).

fof(f1298,plain,
    ( ~ sQ39_spl
    | ~ sQ15_spl
    | product2(e_5,e_3,e_2) ),
    inference(resolution,[status(thm)],[f1187,f258]) ).

fof(f1299,plain,
    ( ~ sQ37_spl
    | ~ sQ15_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f1297,f115]) ).

fof(f1300,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | ~ sQ15_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f1297,f107]) ).

fof(f1301,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | ~ sQ15_spl
      | equalish(e_3,X0)
      | ~ product2(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f1297,f105]) ).

fof(f1302,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | ~ sQ15_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f1297,f103]) ).

fof(f1303,plain,
    ( ~ sQ37_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1299,f82]) ).

fof(f1304,plain,
    ( ~ sQ37_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f1303]) ).

fof(f1305,plain,
    ( ~ sQ34_spl
    | ~ sQ39_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f1239,f242]) ).

fof(f1307,plain,
    ( ~ sQ34_spl
    | ~ sQ39_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1305,f78]) ).

fof(f1308,plain,
    ( ~ sQ34_spl
    | ~ sQ39_spl ),
    inference(contradiction_clause,[status(thm)],[f1307]) ).

fof(f1312,plain,
    ! [X0] :
      ( ~ sQ59_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f325,f107]) ).

fof(f1313,plain,
    ! [X0] :
      ( ~ sQ59_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f325,f105]) ).

fof(f1314,plain,
    ! [X0] :
      ( ~ sQ59_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f325,f103]) ).

fof(f1318,plain,
    ( ~ sQ59_spl
    | ~ sQ58_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f322,f1314]) ).

fof(f1319,plain,
    ! [X0] :
      ( ~ sQ58_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f322,f107]) ).

fof(f1320,plain,
    ! [X0] :
      ( ~ sQ58_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f322,f105]) ).

fof(f1321,plain,
    ! [X0] :
      ( ~ sQ58_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f322,f103]) ).

fof(f1322,plain,
    ( ~ sQ59_spl
    | ~ sQ58_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1318,f92]) ).

fof(f1323,plain,
    ( ~ sQ59_spl
    | ~ sQ58_spl ),
    inference(contradiction_clause,[status(thm)],[f1322]) ).

fof(f1324,plain,
    ( ~ sQ57_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f319,f116]) ).

fof(f1325,plain,
    ! [X0] :
      ( ~ sQ57_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f319,f107]) ).

fof(f1326,plain,
    ! [X0] :
      ( ~ sQ57_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f319,f105]) ).

fof(f1327,plain,
    ! [X0] :
      ( ~ sQ57_spl
      | equalish(e_3,X0)
      | ~ product2(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f319,f103]) ).

fof(f1328,plain,
    ( ~ sQ57_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1324,f81]) ).

fof(f1329,plain,
    ~ sQ57_spl,
    inference(contradiction_clause,[status(thm)],[f1328]) ).

fof(f1330,plain,
    ! [X0] :
      ( ~ sQ56_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f316,f107]) ).

fof(f1331,plain,
    ! [X0] :
      ( ~ sQ56_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f316,f105]) ).

fof(f1332,plain,
    ! [X0] :
      ( ~ sQ56_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f316,f103]) ).

fof(f1337,plain,
    ( ~ sQ55_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f313,f117]) ).

fof(f1338,plain,
    ! [X0] :
      ( ~ sQ55_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f313,f107]) ).

fof(f1339,plain,
    ! [X0] :
      ( ~ sQ55_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f313,f105]) ).

fof(f1340,plain,
    ! [X0] :
      ( ~ sQ55_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f313,f103]) ).

fof(f1343,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f309,f107]) ).

fof(f1345,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f309,f103]) ).

fof(f1349,plain,
    ( ~ sQ54_spl
    | ~ sQ53_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f306,f1345]) ).

fof(f1350,plain,
    ! [X0] :
      ( ~ sQ53_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f306,f107]) ).

fof(f1351,plain,
    ! [X0] :
      ( ~ sQ53_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f306,f105]) ).

fof(f1352,plain,
    ! [X0] :
      ( ~ sQ53_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f306,f103]) ).

fof(f1353,plain,
    ( ~ sQ54_spl
    | ~ sQ53_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1349,f92]) ).

fof(f1354,plain,
    ( ~ sQ54_spl
    | ~ sQ53_spl ),
    inference(contradiction_clause,[status(thm)],[f1353]) ).

fof(f1355,plain,
    ( ~ sQ52_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f303,f116]) ).

fof(f1356,plain,
    ! [X0] :
      ( ~ sQ52_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f303,f107]) ).

fof(f1357,plain,
    ! [X0] :
      ( ~ sQ52_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f303,f105]) ).

fof(f1358,plain,
    ! [X0] :
      ( ~ sQ52_spl
      | equalish(e_3,X0)
      | ~ product2(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f303,f103]) ).

fof(f1359,plain,
    ( ~ sQ52_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1355,f82]) ).

fof(f1360,plain,
    ~ sQ52_spl,
    inference(contradiction_clause,[status(thm)],[f1359]) ).

fof(f1362,plain,
    ( ~ sQ51_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f300,f117]) ).

fof(f1363,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f300,f107]) ).

fof(f1364,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f300,f105]) ).

fof(f1365,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f300,f103]) ).

fof(f1368,plain,
    ( ~ sQ55_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1337,f74]) ).

fof(f1369,plain,
    ~ sQ55_spl,
    inference(contradiction_clause,[status(thm)],[f1368]) ).

fof(f1370,plain,
    ! [X0] :
      ( ~ sQ50_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f297,f107]) ).

fof(f1371,plain,
    ! [X0] :
      ( ~ sQ50_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f297,f105]) ).

fof(f1372,plain,
    ! [X0] :
      ( ~ sQ50_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f297,f103]) ).

fof(f1376,plain,
    ( ~ sQ49_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f293,f115]) ).

fof(f1377,plain,
    ! [X0] :
      ( ~ sQ49_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f293,f107]) ).

fof(f1378,plain,
    ! [X0] :
      ( ~ sQ49_spl
      | equalish(e_3,X0)
      | ~ product2(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f293,f105]) ).

fof(f1379,plain,
    ! [X0] :
      ( ~ sQ49_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f293,f103]) ).

fof(f1380,plain,
    ( ~ sQ49_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1376,f84]) ).

fof(f1381,plain,
    ~ sQ49_spl,
    inference(contradiction_clause,[status(thm)],[f1380]) ).

fof(f1383,plain,
    ( ~ sQ48_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f290,f115]) ).

fof(f1384,plain,
    ! [X0] :
      ( ~ sQ48_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f290,f107]) ).

fof(f1385,plain,
    ! [X0] :
      ( ~ sQ48_spl
      | equalish(e_3,X0)
      | ~ product2(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f290,f105]) ).

fof(f1386,plain,
    ! [X0] :
      ( ~ sQ48_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f290,f103]) ).

fof(f1390,plain,
    ( ~ sQ46_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f284,f115]) ).

fof(f1391,plain,
    ! [X0] :
      ( ~ sQ46_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f284,f107]) ).

fof(f1392,plain,
    ! [X0] :
      ( ~ sQ46_spl
      | equalish(e_3,X0)
      | ~ product2(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f284,f105]) ).

fof(f1393,plain,
    ! [X0] :
      ( ~ sQ46_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f284,f103]) ).

fof(f1397,plain,
    ( ~ sQ45_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f281,f115]) ).

fof(f1398,plain,
    ! [X0] :
      ( ~ sQ45_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f281,f107]) ).

fof(f1399,plain,
    ! [X0] :
      ( ~ sQ45_spl
      | equalish(e_3,X0)
      | ~ product2(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f281,f105]) ).

fof(f1400,plain,
    ! [X0] :
      ( ~ sQ45_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f281,f103]) ).

fof(f1403,plain,
    ! [X0] :
      ( ~ sQ74_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f376,f107]) ).

fof(f1404,plain,
    ! [X0] :
      ( ~ sQ74_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f376,f105]) ).

fof(f1405,plain,
    ! [X0] :
      ( ~ sQ74_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f376,f103]) ).

fof(f1409,plain,
    ( ~ sQ74_spl
    | ~ sQ73_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f373,f1405]) ).

fof(f1410,plain,
    ( ~ sQ58_spl
    | ~ sQ73_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f373,f1319]) ).

fof(f1411,plain,
    ! [X0] :
      ( ~ sQ73_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f373,f107]) ).

fof(f1412,plain,
    ! [X0] :
      ( ~ sQ73_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f373,f105]) ).

fof(f1413,plain,
    ! [X0] :
      ( ~ sQ73_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f373,f103]) ).

fof(f1414,plain,
    ( ~ sQ74_spl
    | ~ sQ73_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1409,f92]) ).

fof(f1415,plain,
    ( ~ sQ74_spl
    | ~ sQ73_spl ),
    inference(contradiction_clause,[status(thm)],[f1414]) ).

fof(f1416,plain,
    ( ~ sQ74_spl
    | ~ sQ72_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f370,f1405]) ).

fof(f1417,plain,
    ! [X0] :
      ( ~ sQ72_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f370,f107]) ).

fof(f1418,plain,
    ! [X0] :
      ( ~ sQ72_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f370,f105]) ).

fof(f1419,plain,
    ! [X0] :
      ( ~ sQ72_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f370,f103]) ).

fof(f1420,plain,
    ( ~ sQ74_spl
    | ~ sQ72_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1416,f91]) ).

fof(f1421,plain,
    ( ~ sQ74_spl
    | ~ sQ72_spl ),
    inference(contradiction_clause,[status(thm)],[f1420]) ).

fof(f1422,plain,
    ( ~ sQ58_spl
    | ~ sQ73_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1410,f82]) ).

fof(f1423,plain,
    ( ~ sQ58_spl
    | ~ sQ73_spl ),
    inference(contradiction_clause,[status(thm)],[f1422]) ).

fof(f1425,plain,
    ( ~ sQ71_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f367,f116]) ).

fof(f1426,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f367,f107]) ).

fof(f1427,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f367,f105]) ).

fof(f1428,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | equalish(e_2,X0)
      | ~ product2(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f367,f103]) ).

fof(f1431,plain,
    ( ~ sQ71_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1425,f77]) ).

fof(f1432,plain,
    ~ sQ71_spl,
    inference(contradiction_clause,[status(thm)],[f1431]) ).

fof(f1433,plain,
    ( ~ sQ51_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1362,f78]) ).

fof(f1434,plain,
    ~ sQ51_spl,
    inference(contradiction_clause,[status(thm)],[f1433]) ).

fof(f1435,plain,
    ( ~ sQ70_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f364,f117]) ).

fof(f1436,plain,
    ! [X0] :
      ( ~ sQ70_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f364,f107]) ).

fof(f1437,plain,
    ! [X0] :
      ( ~ sQ70_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f364,f105]) ).

fof(f1438,plain,
    ! [X0] :
      ( ~ sQ70_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f364,f103]) ).

fof(f1439,plain,
    ( ~ sQ70_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1435,f73]) ).

fof(f1440,plain,
    ~ sQ70_spl,
    inference(contradiction_clause,[status(thm)],[f1439]) ).

fof(f1441,plain,
    ( ~ sQ69_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f360,f115]) ).

fof(f1442,plain,
    ! [X0] :
      ( ~ sQ69_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f360,f107]) ).

fof(f1443,plain,
    ! [X0] :
      ( ~ sQ69_spl
      | equalish(e_2,X0)
      | ~ product2(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f360,f105]) ).

fof(f1444,plain,
    ! [X0] :
      ( ~ sQ69_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f360,f103]) ).

fof(f1445,plain,
    ( ~ sQ69_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1441,f80]) ).

fof(f1446,plain,
    ~ sQ69_spl,
    inference(contradiction_clause,[status(thm)],[f1445]) ).

fof(f1447,plain,
    ( ~ sQ68_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f357,f115]) ).

fof(f1448,plain,
    ! [X0] :
      ( ~ sQ68_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f357,f107]) ).

fof(f1449,plain,
    ! [X0] :
      ( ~ sQ68_spl
      | equalish(e_2,X0)
      | ~ product2(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f357,f105]) ).

fof(f1450,plain,
    ! [X0] :
      ( ~ sQ68_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f357,f103]) ).

fof(f1451,plain,
    ( ~ sQ68_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1447,f79]) ).

fof(f1452,plain,
    ~ sQ68_spl,
    inference(contradiction_clause,[status(thm)],[f1451]) ).

fof(f1453,plain,
    ( ~ sQ67_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f354,f115]) ).

fof(f1454,plain,
    ! [X0] :
      ( ~ sQ67_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f354,f107]) ).

fof(f1455,plain,
    ! [X0] :
      ( ~ sQ67_spl
      | equalish(e_2,X0)
      | ~ product2(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f354,f105]) ).

fof(f1456,plain,
    ! [X0] :
      ( ~ sQ67_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f354,f103]) ).

fof(f1457,plain,
    ( ~ sQ67_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1453,f78]) ).

fof(f1458,plain,
    ~ sQ67_spl,
    inference(contradiction_clause,[status(thm)],[f1457]) ).

fof(f1460,plain,
    ( ~ sQ65_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f348,f115]) ).

fof(f1461,plain,
    ! [X0] :
      ( ~ sQ65_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f348,f107]) ).

fof(f1462,plain,
    ! [X0] :
      ( ~ sQ65_spl
      | equalish(e_2,X0)
      | ~ product2(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f348,f105]) ).

fof(f1463,plain,
    ! [X0] :
      ( ~ sQ65_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f348,f103]) ).

fof(f1466,plain,
    ! [X0] :
      ( ~ sQ64_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f344,f107]) ).

fof(f1467,plain,
    ! [X0] :
      ( ~ sQ64_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f344,f105]) ).

fof(f1468,plain,
    ! [X0] :
      ( ~ sQ64_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f344,f103]) ).

fof(f1469,plain,
    ! [X0] :
      ( ~ sQ63_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f341,f107]) ).

fof(f1470,plain,
    ! [X0] :
      ( ~ sQ63_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f341,f105]) ).

fof(f1471,plain,
    ! [X0] :
      ( ~ sQ63_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f341,f103]) ).

fof(f1472,plain,
    ( ~ sQ62_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f338,f117]) ).

fof(f1473,plain,
    ! [X0] :
      ( ~ sQ62_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f338,f107]) ).

fof(f1474,plain,
    ! [X0] :
      ( ~ sQ62_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f338,f105]) ).

fof(f1475,plain,
    ! [X0] :
      ( ~ sQ62_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f338,f103]) ).

fof(f1476,plain,
    ( ~ sQ62_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1472,f82]) ).

fof(f1477,plain,
    ~ sQ62_spl,
    inference(contradiction_clause,[status(thm)],[f1476]) ).

fof(f1478,plain,
    ( ~ sQ61_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f335,f116]) ).

fof(f1479,plain,
    ! [X0] :
      ( ~ sQ61_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f335,f107]) ).

fof(f1480,plain,
    ! [X0] :
      ( ~ sQ61_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f335,f105]) ).

fof(f1481,plain,
    ! [X0] :
      ( ~ sQ61_spl
      | equalish(e_2,X0)
      | ~ product2(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f335,f103]) ).

fof(f1482,plain,
    ( ~ sQ61_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1478,f78]) ).

fof(f1483,plain,
    ~ sQ61_spl,
    inference(contradiction_clause,[status(thm)],[f1482]) ).

fof(f1484,plain,
    ( ~ sQ64_spl
    | ~ sQ74_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f1404,f344]) ).

fof(f1485,plain,
    ( ~ sQ64_spl
    | ~ sQ74_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1484,f74]) ).

fof(f1486,plain,
    ( ~ sQ64_spl
    | ~ sQ74_spl ),
    inference(contradiction_clause,[status(thm)],[f1485]) ).

fof(f1490,plain,
    ( ~ sQ63_spl
    | ~ sQ73_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f1412,f341]) ).

fof(f1491,plain,
    ( ~ sQ63_spl
    | ~ sQ73_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1490,f74]) ).

fof(f1492,plain,
    ( ~ sQ63_spl
    | ~ sQ73_spl ),
    inference(contradiction_clause,[status(thm)],[f1491]) ).

fof(f1493,plain,
    ! [X0] :
      ( ~ sQ60_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f332,f107]) ).

fof(f1494,plain,
    ! [X0] :
      ( ~ sQ60_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f332,f105]) ).

fof(f1495,plain,
    ! [X0] :
      ( ~ sQ60_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f332,f103]) ).

fof(f1500,plain,
    ( ~ sQ89_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f427,f115]) ).

fof(f1501,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f427,f107]) ).

fof(f1502,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | equalish(e_1,X0)
      | ~ product2(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f427,f105]) ).

fof(f1503,plain,
    ! [X0] :
      ( ~ sQ89_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f427,f103]) ).

fof(f1507,plain,
    ( ~ sQ88_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f424,f115]) ).

fof(f1508,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f424,f107]) ).

fof(f1509,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | equalish(e_1,X0)
      | ~ product2(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f424,f105]) ).

fof(f1510,plain,
    ! [X0] :
      ( ~ sQ88_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f424,f103]) ).

fof(f1513,plain,
    ( ~ sQ87_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f421,f115]) ).

fof(f1514,plain,
    ! [X0] :
      ( ~ sQ87_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f421,f107]) ).

fof(f1515,plain,
    ! [X0] :
      ( ~ sQ87_spl
      | equalish(e_1,X0)
      | ~ product2(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f421,f105]) ).

fof(f1516,plain,
    ! [X0] :
      ( ~ sQ87_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f421,f103]) ).

fof(f1517,plain,
    ( ~ sQ87_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1513,f74]) ).

fof(f1518,plain,
    ~ sQ87_spl,
    inference(contradiction_clause,[status(thm)],[f1517]) ).

fof(f1520,plain,
    ( ~ sQ86_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f418,f115]) ).

fof(f1521,plain,
    ! [X0] :
      ( ~ sQ86_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f418,f107]) ).

fof(f1522,plain,
    ! [X0] :
      ( ~ sQ86_spl
      | equalish(e_1,X0)
      | ~ product2(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f418,f105]) ).

fof(f1523,plain,
    ! [X0] :
      ( ~ sQ86_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f418,f103]) ).

fof(f1526,plain,
    ! [X0] :
      ( ~ sQ84_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f411,f107]) ).

fof(f1527,plain,
    ! [X0] :
      ( ~ sQ84_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f411,f105]) ).

fof(f1528,plain,
    ! [X0] :
      ( ~ sQ84_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f411,f103]) ).

fof(f1532,plain,
    ( ~ sQ84_spl
    | ~ sQ83_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f408,f1528]) ).

fof(f1533,plain,
    ( ~ sQ53_spl
    | ~ sQ83_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f408,f1350]) ).

fof(f1534,plain,
    ! [X0] :
      ( ~ sQ83_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f408,f107]) ).

fof(f1535,plain,
    ! [X0] :
      ( ~ sQ83_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f408,f105]) ).

fof(f1536,plain,
    ! [X0] :
      ( ~ sQ83_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f408,f103]) ).

fof(f1537,plain,
    ( ~ sQ84_spl
    | ~ sQ83_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1532,f92]) ).

fof(f1538,plain,
    ( ~ sQ84_spl
    | ~ sQ83_spl ),
    inference(contradiction_clause,[status(thm)],[f1537]) ).

fof(f1539,plain,
    ! [X0] :
      ( ~ sQ82_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f405,f107]) ).

fof(f1540,plain,
    ! [X0] :
      ( ~ sQ82_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f405,f105]) ).

fof(f1541,plain,
    ! [X0] :
      ( ~ sQ82_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f405,f103]) ).

fof(f1546,plain,
    ( ~ sQ81_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f402,f117]) ).

fof(f1547,plain,
    ! [X0] :
      ( ~ sQ81_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f402,f107]) ).

fof(f1548,plain,
    ! [X0] :
      ( ~ sQ81_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f402,f105]) ).

fof(f1549,plain,
    ! [X0] :
      ( ~ sQ81_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f402,f103]) ).

fof(f1552,plain,
    ( ~ sQ80_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f399,f116]) ).

fof(f1553,plain,
    ! [X0] :
      ( ~ sQ80_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f399,f107]) ).

fof(f1554,plain,
    ! [X0] :
      ( ~ sQ80_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f399,f105]) ).

fof(f1555,plain,
    ! [X0] :
      ( ~ sQ80_spl
      | equalish(e_1,X0)
      | ~ product2(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f399,f103]) ).

fof(f1556,plain,
    ( ~ sQ80_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1552,f73]) ).

fof(f1557,plain,
    ~ sQ80_spl,
    inference(contradiction_clause,[status(thm)],[f1556]) ).

fof(f1558,plain,
    ! [X0] :
      ( ~ sQ79_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f395,f107]) ).

fof(f1559,plain,
    ! [X0] :
      ( ~ sQ79_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f395,f105]) ).

fof(f1560,plain,
    ! [X0] :
      ( ~ sQ79_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f395,f103]) ).

fof(f1564,plain,
    ( ~ sQ79_spl
    | ~ sQ78_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f392,f1560]) ).

fof(f1565,plain,
    ! [X0] :
      ( ~ sQ78_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f392,f107]) ).

fof(f1566,plain,
    ! [X0] :
      ( ~ sQ78_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f392,f105]) ).

fof(f1567,plain,
    ! [X0] :
      ( ~ sQ78_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f392,f103]) ).

fof(f1568,plain,
    ( ~ sQ79_spl
    | ~ sQ78_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1564,f92]) ).

fof(f1569,plain,
    ( ~ sQ79_spl
    | ~ sQ78_spl ),
    inference(contradiction_clause,[status(thm)],[f1568]) ).

fof(f1571,plain,
    ( ~ sQ77_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f389,f117]) ).

fof(f1572,plain,
    ! [X0] :
      ( ~ sQ77_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f389,f107]) ).

fof(f1573,plain,
    ! [X0] :
      ( ~ sQ77_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f389,f105]) ).

fof(f1574,plain,
    ! [X0] :
      ( ~ sQ77_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f389,f103]) ).

fof(f1577,plain,
    ( ~ sQ81_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1546,f77]) ).

fof(f1578,plain,
    ~ sQ81_spl,
    inference(contradiction_clause,[status(thm)],[f1577]) ).

fof(f1579,plain,
    ( ~ sQ53_spl
    | ~ sQ83_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1533,f81]) ).

fof(f1580,plain,
    ( ~ sQ53_spl
    | ~ sQ83_spl ),
    inference(contradiction_clause,[status(thm)],[f1579]) ).

fof(f1581,plain,
    ! [X0] :
      ( ~ sQ76_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f386,f107]) ).

fof(f1582,plain,
    ! [X0] :
      ( ~ sQ76_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f386,f105]) ).

fof(f1583,plain,
    ! [X0] :
      ( ~ sQ76_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f386,f103]) ).

fof(f1589,plain,
    ( ~ sQ75_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f383,f116]) ).

fof(f1590,plain,
    ! [X0] :
      ( ~ sQ75_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f383,f107]) ).

fof(f1591,plain,
    ! [X0] :
      ( ~ sQ75_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f383,f105]) ).

fof(f1592,plain,
    ! [X0] :
      ( ~ sQ75_spl
      | equalish(e_1,X0)
      | ~ product2(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f383,f103]) ).

fof(f1595,plain,
    ! [X0] :
      ( ~ sQ119_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_4,e_5) ),
    inference(resolution,[status(thm)],[f538,f99]) ).

fof(f1596,plain,
    ! [X0] :
      ( ~ sQ119_spl
      | equalish(e_4,X0)
      | ~ product1(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f538,f97]) ).

fof(f1597,plain,
    ! [X0] :
      ( ~ sQ119_spl
      | equalish(e_5,X0)
      | ~ product1(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f538,f95]) ).

fof(f1598,plain,
    ! [X0] :
      ( ~ sQ119_spl
      | product2(X0,e_4,e_3)
      | ~ product1(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f538,f110]) ).

fof(f1604,plain,
    ( ~ sQ13_spl
    | ~ sQ118_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f535,f994]) ).

fof(f1605,plain,
    ( ~ sQ118_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f535,f114]) ).

fof(f1606,plain,
    ! [X0] :
      ( ~ sQ118_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f535,f99]) ).

fof(f1607,plain,
    ! [X0] :
      ( ~ sQ118_spl
      | equalish(e_4,X0)
      | ~ product1(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f535,f97]) ).

fof(f1608,plain,
    ! [X0] :
      ( ~ sQ118_spl
      | equalish(e_4,X0)
      | ~ product1(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f535,f95]) ).

fof(f1609,plain,
    ! [X0] :
      ( ~ sQ118_spl
      | product2(X0,e_4,e_3)
      | ~ product1(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f535,f110]) ).

fof(f1612,plain,
    ( ~ sQ117_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f532,f111]) ).

fof(f1613,plain,
    ! [X0] :
      ( ~ sQ117_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f532,f99]) ).

fof(f1614,plain,
    ! [X0] :
      ( ~ sQ117_spl
      | equalish(e_4,X0)
      | ~ product1(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f532,f97]) ).

fof(f1615,plain,
    ! [X0] :
      ( ~ sQ117_spl
      | equalish(e_3,X0)
      | ~ product1(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f532,f95]) ).

fof(f1616,plain,
    ! [X0] :
      ( ~ sQ117_spl
      | product2(X0,e_4,e_3)
      | ~ product1(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f532,f110]) ).

fof(f1617,plain,
    ( ~ sQ117_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1612,f83]) ).

fof(f1618,plain,
    ~ sQ117_spl,
    inference(contradiction_clause,[status(thm)],[f1617]) ).

fof(f1619,plain,
    ! [X0] :
      ( ~ sQ116_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f529,f99]) ).

fof(f1620,plain,
    ! [X0] :
      ( ~ sQ116_spl
      | equalish(e_4,X0)
      | ~ product1(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f529,f97]) ).

fof(f1621,plain,
    ! [X0] :
      ( ~ sQ116_spl
      | equalish(e_2,X0)
      | ~ product1(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f529,f95]) ).

fof(f1622,plain,
    ! [X0] :
      ( ~ sQ116_spl
      | product2(X0,e_4,e_3)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f529,f110]) ).

fof(f1626,plain,
    ( ~ sQ116_spl
    | ~ sQ115_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f526,f1621]) ).

fof(f1627,plain,
    ! [X0] :
      ( ~ sQ115_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f526,f99]) ).

fof(f1628,plain,
    ! [X0] :
      ( ~ sQ115_spl
      | equalish(e_4,X0)
      | ~ product1(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f526,f97]) ).

fof(f1629,plain,
    ! [X0] :
      ( ~ sQ115_spl
      | equalish(e_1,X0)
      | ~ product1(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f526,f95]) ).

fof(f1630,plain,
    ! [X0] :
      ( ~ sQ115_spl
      | product2(X0,e_4,e_3)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f526,f110]) ).

fof(f1631,plain,
    ( ~ sQ116_spl
    | ~ sQ115_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1626,f77]) ).

fof(f1632,plain,
    ( ~ sQ116_spl
    | ~ sQ115_spl ),
    inference(contradiction_clause,[status(thm)],[f1631]) ).

fof(f1633,plain,
    ! [X0] :
      ( ~ sQ114_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_4,e_5) ),
    inference(resolution,[status(thm)],[f522,f99]) ).

fof(f1634,plain,
    ! [X0] :
      ( ~ sQ114_spl
      | equalish(e_4,X0)
      | ~ product1(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f522,f97]) ).

fof(f1635,plain,
    ! [X0] :
      ( ~ sQ114_spl
      | equalish(e_5,X0)
      | ~ product1(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f522,f95]) ).

fof(f1636,plain,
    ! [X0] :
      ( ~ sQ114_spl
      | product2(X0,e_4,e_2)
      | ~ product1(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f522,f110]) ).

fof(f1641,plain,
    ( ~ sQ18_spl
    | ~ sQ113_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f519,f1149]) ).

fof(f1642,plain,
    ( ~ sQ113_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f519,f114]) ).

fof(f1643,plain,
    ! [X0] :
      ( ~ sQ113_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f519,f99]) ).

fof(f1644,plain,
    ! [X0] :
      ( ~ sQ113_spl
      | equalish(e_4,X0)
      | ~ product1(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f519,f97]) ).

fof(f1645,plain,
    ! [X0] :
      ( ~ sQ113_spl
      | equalish(e_4,X0)
      | ~ product1(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f519,f95]) ).

fof(f1646,plain,
    ! [X0] :
      ( ~ sQ113_spl
      | product2(X0,e_4,e_2)
      | ~ product1(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f519,f110]) ).

fof(f1649,plain,
    ( ~ sQ27_spl
    | ~ sQ112_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f516,f1078]) ).

fof(f1650,plain,
    ! [X0] :
      ( ~ sQ112_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f516,f99]) ).

fof(f1651,plain,
    ! [X0] :
      ( ~ sQ112_spl
      | equalish(e_4,X0)
      | ~ product1(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f516,f97]) ).

fof(f1652,plain,
    ! [X0] :
      ( ~ sQ112_spl
      | equalish(e_3,X0)
      | ~ product1(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f516,f95]) ).

fof(f1653,plain,
    ! [X0] :
      ( ~ sQ112_spl
      | product2(X0,e_4,e_2)
      | ~ product1(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f516,f110]) ).

fof(f1654,plain,
    ( ~ sQ27_spl
    | ~ sQ112_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1649,f75]) ).

fof(f1655,plain,
    ( ~ sQ27_spl
    | ~ sQ112_spl ),
    inference(contradiction_clause,[status(thm)],[f1654]) ).

fof(f1657,plain,
    ( ~ sQ111_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f513,f111]) ).

fof(f1658,plain,
    ! [X0] :
      ( ~ sQ111_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f513,f99]) ).

fof(f1659,plain,
    ! [X0] :
      ( ~ sQ111_spl
      | equalish(e_4,X0)
      | ~ product1(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f513,f97]) ).

fof(f1660,plain,
    ! [X0] :
      ( ~ sQ111_spl
      | equalish(e_2,X0)
      | ~ product1(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f513,f95]) ).

fof(f1661,plain,
    ! [X0] :
      ( ~ sQ111_spl
      | product2(X0,e_4,e_2)
      | ~ product1(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f513,f110]) ).

fof(f1664,plain,
    ! [X0] :
      ( ~ sQ110_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f510,f99]) ).

fof(f1665,plain,
    ! [X0] :
      ( ~ sQ110_spl
      | equalish(e_4,X0)
      | ~ product1(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f510,f97]) ).

fof(f1666,plain,
    ! [X0] :
      ( ~ sQ110_spl
      | equalish(e_1,X0)
      | ~ product1(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f510,f95]) ).

fof(f1667,plain,
    ! [X0] :
      ( ~ sQ110_spl
      | product2(X0,e_4,e_2)
      | ~ product1(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f510,f110]) ).

fof(f1668,plain,
    ! [X0] :
      ( ~ sQ109_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_4,e_5) ),
    inference(resolution,[status(thm)],[f506,f99]) ).

fof(f1669,plain,
    ! [X0] :
      ( ~ sQ109_spl
      | equalish(e_4,X0)
      | ~ product1(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f506,f97]) ).

fof(f1670,plain,
    ! [X0] :
      ( ~ sQ109_spl
      | equalish(e_5,X0)
      | ~ product1(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f506,f95]) ).

fof(f1671,plain,
    ! [X0] :
      ( ~ sQ109_spl
      | product2(X0,e_4,e_1)
      | ~ product1(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f506,f110]) ).

fof(f1672,plain,
    ( ~ sQ108_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f503,f114]) ).

fof(f1673,plain,
    ! [X0] :
      ( ~ sQ108_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f503,f99]) ).

fof(f1674,plain,
    ! [X0] :
      ( ~ sQ108_spl
      | equalish(e_4,X0)
      | ~ product1(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f503,f97]) ).

fof(f1675,plain,
    ! [X0] :
      ( ~ sQ108_spl
      | equalish(e_4,X0)
      | ~ product1(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f503,f95]) ).

fof(f1676,plain,
    ! [X0] :
      ( ~ sQ108_spl
      | product2(X0,e_4,e_1)
      | ~ product1(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f503,f110]) ).

fof(f1677,plain,
    ( ~ sQ108_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1672,f85]) ).

fof(f1678,plain,
    ~ sQ108_spl,
    inference(contradiction_clause,[status(thm)],[f1677]) ).

fof(f1679,plain,
    ( ~ sQ37_spl
    | ~ sQ107_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f500,f1251]) ).

fof(f1680,plain,
    ! [X0] :
      ( ~ sQ107_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f500,f99]) ).

fof(f1681,plain,
    ! [X0] :
      ( ~ sQ107_spl
      | equalish(e_4,X0)
      | ~ product1(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f500,f97]) ).

fof(f1682,plain,
    ! [X0] :
      ( ~ sQ107_spl
      | equalish(e_3,X0)
      | ~ product1(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f500,f95]) ).

fof(f1683,plain,
    ! [X0] :
      ( ~ sQ107_spl
      | product2(X0,e_4,e_1)
      | ~ product1(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f500,f110]) ).

fof(f1684,plain,
    ( ~ sQ37_spl
    | ~ sQ107_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1679,f79]) ).

fof(f1685,plain,
    ( ~ sQ37_spl
    | ~ sQ107_spl ),
    inference(contradiction_clause,[status(thm)],[f1684]) ).

fof(f1686,plain,
    ( ~ sQ31_spl
    | ~ sQ106_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f497,f1287]) ).

fof(f1687,plain,
    ! [X0] :
      ( ~ sQ106_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f497,f99]) ).

fof(f1688,plain,
    ! [X0] :
      ( ~ sQ106_spl
      | equalish(e_4,X0)
      | ~ product1(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f497,f97]) ).

fof(f1689,plain,
    ! [X0] :
      ( ~ sQ106_spl
      | equalish(e_2,X0)
      | ~ product1(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f497,f95]) ).

fof(f1690,plain,
    ! [X0] :
      ( ~ sQ106_spl
      | product2(X0,e_4,e_1)
      | ~ product1(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f497,f110]) ).

fof(f1691,plain,
    ( ~ sQ31_spl
    | ~ sQ106_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1686,f83]) ).

fof(f1692,plain,
    ( ~ sQ31_spl
    | ~ sQ106_spl ),
    inference(contradiction_clause,[status(thm)],[f1691]) ).

fof(f1693,plain,
    ( ~ sQ105_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f494,f111]) ).

fof(f1694,plain,
    ! [X0] :
      ( ~ sQ105_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f494,f99]) ).

fof(f1695,plain,
    ! [X0] :
      ( ~ sQ105_spl
      | equalish(e_4,X0)
      | ~ product1(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f494,f97]) ).

fof(f1696,plain,
    ! [X0] :
      ( ~ sQ105_spl
      | equalish(e_1,X0)
      | ~ product1(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f494,f95]) ).

fof(f1697,plain,
    ! [X0] :
      ( ~ sQ105_spl
      | product2(X0,e_4,e_1)
      | ~ product1(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f494,f110]) ).

fof(f1698,plain,
    ( ~ sQ105_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1693,f75]) ).

fof(f1699,plain,
    ~ sQ105_spl,
    inference(contradiction_clause,[status(thm)],[f1698]) ).

fof(f1700,plain,
    ! [X0] :
      ( ~ sQ104_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_4,e_5) ),
    inference(resolution,[status(thm)],[f490,f107]) ).

fof(f1701,plain,
    ! [X0] :
      ( ~ sQ104_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f490,f105]) ).

fof(f1702,plain,
    ! [X0] :
      ( ~ sQ104_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f490,f103]) ).

fof(f1705,plain,
    ( ~ sQ103_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f487,f117]) ).

fof(f1706,plain,
    ! [X0] :
      ( ~ sQ103_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f487,f107]) ).

fof(f1707,plain,
    ! [X0] :
      ( ~ sQ103_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f487,f105]) ).

fof(f1708,plain,
    ! [X0] :
      ( ~ sQ103_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f487,f103]) ).

fof(f1711,plain,
    ( ~ sQ31_spl
    | ~ sQ115_spl
    | product2(e_2,e_4,e_3) ),
    inference(resolution,[status(thm)],[f1630,f233]) ).

fof(f1718,plain,
    ( ~ sQ110_spl
    | ~ sQ115_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f1627,f510]) ).

fof(f1719,plain,
    ( ~ sQ110_spl
    | ~ sQ115_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1718,f82]) ).

fof(f1720,plain,
    ( ~ sQ110_spl
    | ~ sQ115_spl ),
    inference(contradiction_clause,[status(thm)],[f1719]) ).

fof(f1723,plain,
    ( ~ sQ118_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1605,f87]) ).

fof(f1724,plain,
    ~ sQ118_spl,
    inference(contradiction_clause,[status(thm)],[f1723]) ).

fof(f1731,plain,
    ( ~ sQ31_spl
    | ~ sQ5_spl
    | product2(e_2,e_2,e_3) ),
    inference(resolution,[status(thm)],[f1055,f233]) ).

fof(f1732,plain,
    ( ~ sQ31_spl
    | ~ sQ5_spl
    | sQ67_spl ),
    inference(split_clause,[status(thm)],[f1731,f353,f143,f232]) ).

fof(f1733,plain,
    ( ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1131,f77]) ).

fof(f1734,plain,
    ~ sQ20_spl,
    inference(contradiction_clause,[status(thm)],[f1733]) ).

fof(f1741,plain,
    ( ~ sQ109_spl
    | ~ sQ119_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f1595,f506]) ).

fof(f1742,plain,
    ( ~ sQ109_spl
    | ~ sQ119_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1741,f81]) ).

fof(f1743,plain,
    ( ~ sQ109_spl
    | ~ sQ119_spl ),
    inference(contradiction_clause,[status(thm)],[f1742]) ).

fof(f1744,plain,
    ( ~ sQ111_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1657,f79]) ).

fof(f1745,plain,
    ~ sQ111_spl,
    inference(contradiction_clause,[status(thm)],[f1744]) ).

fof(f1746,plain,
    ( ~ sQ113_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1642,f86]) ).

fof(f1747,plain,
    ~ sQ113_spl,
    inference(contradiction_clause,[status(thm)],[f1746]) ).

fof(f1748,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ sQ19_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f1139,f107]) ).

fof(f1749,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ sQ19_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f1139,f105]) ).

fof(f1750,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | ~ sQ19_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f1139,f103]) ).

fof(f1755,plain,
    ( ~ sQ102_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f484,f116]) ).

fof(f1756,plain,
    ! [X0] :
      ( ~ sQ102_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f484,f107]) ).

fof(f1757,plain,
    ! [X0] :
      ( ~ sQ102_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f484,f105]) ).

fof(f1758,plain,
    ! [X0] :
      ( ~ sQ102_spl
      | equalish(e_3,X0)
      | ~ product2(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f484,f103]) ).

fof(f1761,plain,
    ( ~ sQ56_spl
    | ~ sQ101_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f481,f1331]) ).

fof(f1762,plain,
    ! [X0] :
      ( ~ sQ101_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f481,f107]) ).

fof(f1763,plain,
    ! [X0] :
      ( ~ sQ101_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f481,f105]) ).

fof(f1764,plain,
    ! [X0] :
      ( ~ sQ101_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f481,f103]) ).

fof(f1765,plain,
    ( ~ sQ56_spl
    | ~ sQ101_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1761,f75]) ).

fof(f1766,plain,
    ( ~ sQ56_spl
    | ~ sQ101_spl ),
    inference(contradiction_clause,[status(thm)],[f1765]) ).

fof(f1767,plain,
    ! [X0] :
      ( ~ sQ100_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f478,f107]) ).

fof(f1768,plain,
    ! [X0] :
      ( ~ sQ100_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f478,f105]) ).

fof(f1769,plain,
    ! [X0] :
      ( ~ sQ100_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f478,f103]) ).

fof(f1770,plain,
    ( ~ sQ74_spl
    | ~ sQ99_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f474,f1404]) ).

fof(f1771,plain,
    ! [X0] :
      ( ~ sQ99_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_4,e_5) ),
    inference(resolution,[status(thm)],[f474,f107]) ).

fof(f1772,plain,
    ! [X0] :
      ( ~ sQ99_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f474,f105]) ).

fof(f1773,plain,
    ! [X0] :
      ( ~ sQ99_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f474,f103]) ).

fof(f1774,plain,
    ( ~ sQ74_spl
    | ~ sQ99_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1770,f75]) ).

fof(f1775,plain,
    ( ~ sQ74_spl
    | ~ sQ99_spl ),
    inference(contradiction_clause,[status(thm)],[f1774]) ).

fof(f1776,plain,
    ( ~ sQ98_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f471,f117]) ).

fof(f1777,plain,
    ! [X0] :
      ( ~ sQ98_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f471,f107]) ).

fof(f1778,plain,
    ! [X0] :
      ( ~ sQ98_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f471,f105]) ).

fof(f1779,plain,
    ! [X0] :
      ( ~ sQ98_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f471,f103]) ).

fof(f1780,plain,
    ( ~ sQ98_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1776,f86]) ).

fof(f1781,plain,
    ~ sQ98_spl,
    inference(contradiction_clause,[status(thm)],[f1780]) ).

fof(f1782,plain,
    ! [X0] :
      ( ~ sQ97_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f468,f107]) ).

fof(f1783,plain,
    ! [X0] :
      ( ~ sQ97_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f468,f105]) ).

fof(f1784,plain,
    ! [X0] :
      ( ~ sQ97_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f468,f103]) ).

fof(f1785,plain,
    ( ~ sQ96_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f465,f116]) ).

fof(f1786,plain,
    ! [X0] :
      ( ~ sQ96_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f465,f107]) ).

fof(f1787,plain,
    ! [X0] :
      ( ~ sQ96_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f465,f105]) ).

fof(f1788,plain,
    ! [X0] :
      ( ~ sQ96_spl
      | equalish(e_2,X0)
      | ~ product2(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f465,f103]) ).

fof(f1789,plain,
    ( ~ sQ96_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1785,f79]) ).

fof(f1790,plain,
    ~ sQ96_spl,
    inference(contradiction_clause,[status(thm)],[f1789]) ).

fof(f1791,plain,
    ( ~ sQ60_spl
    | ~ sQ95_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f462,f1494]) ).

fof(f1792,plain,
    ! [X0] :
      ( ~ sQ95_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f462,f107]) ).

fof(f1793,plain,
    ! [X0] :
      ( ~ sQ95_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f462,f105]) ).

fof(f1794,plain,
    ! [X0] :
      ( ~ sQ95_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f462,f103]) ).

fof(f1795,plain,
    ( ~ sQ60_spl
    | ~ sQ95_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1791,f83]) ).

fof(f1796,plain,
    ( ~ sQ60_spl
    | ~ sQ95_spl ),
    inference(contradiction_clause,[status(thm)],[f1795]) ).

fof(f1797,plain,
    ! [X0] :
      ( ~ sQ94_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_4,e_5) ),
    inference(resolution,[status(thm)],[f458,f107]) ).

fof(f1798,plain,
    ! [X0] :
      ( ~ sQ94_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f458,f105]) ).

fof(f1799,plain,
    ! [X0] :
      ( ~ sQ94_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f458,f103]) ).

fof(f1810,plain,
    ( ~ sQ93_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f455,f117]) ).

fof(f1811,plain,
    ! [X0] :
      ( ~ sQ93_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f455,f107]) ).

fof(f1812,plain,
    ! [X0] :
      ( ~ sQ93_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f455,f105]) ).

fof(f1813,plain,
    ! [X0] :
      ( ~ sQ93_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f455,f103]) ).

fof(f1816,plain,
    ( ~ sQ82_spl
    | ~ sQ92_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f452,f1540]) ).

fof(f1817,plain,
    ( ~ sQ97_spl
    | ~ sQ92_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f452,f1782]) ).

fof(f1818,plain,
    ! [X0] :
      ( ~ sQ92_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f452,f107]) ).

fof(f1819,plain,
    ! [X0] :
      ( ~ sQ92_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f452,f105]) ).

fof(f1820,plain,
    ! [X0] :
      ( ~ sQ92_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f452,f103]) ).

fof(f1821,plain,
    ( ~ sQ82_spl
    | ~ sQ92_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1816,f79]) ).

fof(f1822,plain,
    ( ~ sQ82_spl
    | ~ sQ92_spl ),
    inference(contradiction_clause,[status(thm)],[f1821]) ).

fof(f1823,plain,
    ( ~ sQ97_spl
    | ~ sQ92_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1817,f77]) ).

fof(f1824,plain,
    ( ~ sQ97_spl
    | ~ sQ92_spl ),
    inference(contradiction_clause,[status(thm)],[f1823]) ).

fof(f1825,plain,
    ( ~ sQ77_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1571,f81]) ).

fof(f1826,plain,
    ~ sQ77_spl,
    inference(contradiction_clause,[status(thm)],[f1825]) ).

fof(f1827,plain,
    ( ~ sQ100_spl
    | ~ sQ50_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f1371,f478]) ).

fof(f1828,plain,
    ( ~ sQ100_spl
    | ~ sQ50_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1827,f79]) ).

fof(f1829,plain,
    ( ~ sQ100_spl
    | ~ sQ50_spl ),
    inference(contradiction_clause,[status(thm)],[f1828]) ).

fof(f1830,plain,
    ( ~ sQ76_spl
    | ~ sQ91_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f449,f1582]) ).

fof(f1831,plain,
    ! [X0] :
      ( ~ sQ91_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f449,f107]) ).

fof(f1832,plain,
    ! [X0] :
      ( ~ sQ91_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f449,f105]) ).

fof(f1833,plain,
    ! [X0] :
      ( ~ sQ91_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f449,f103]) ).

fof(f1834,plain,
    ( ~ sQ76_spl
    | ~ sQ91_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1830,f83]) ).

fof(f1835,plain,
    ( ~ sQ76_spl
    | ~ sQ91_spl ),
    inference(contradiction_clause,[status(thm)],[f1834]) ).

fof(f1838,plain,
    ( ~ sQ88_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1507,f75]) ).

fof(f1839,plain,
    ~ sQ88_spl,
    inference(contradiction_clause,[status(thm)],[f1838]) ).

fof(f1843,plain,
    ( ~ sQ100_spl
    | ~ sQ95_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f1792,f478]) ).

fof(f1844,plain,
    ( ~ sQ100_spl
    | ~ sQ95_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1843,f78]) ).

fof(f1845,plain,
    ( ~ sQ100_spl
    | ~ sQ95_spl ),
    inference(contradiction_clause,[status(thm)],[f1844]) ).

fof(f1848,plain,
    ( ~ sQ103_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1705,f87]) ).

fof(f1849,plain,
    ~ sQ103_spl,
    inference(contradiction_clause,[status(thm)],[f1848]) ).

fof(f1850,plain,
    ( ~ sQ102_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1755,f83]) ).

fof(f1851,plain,
    ~ sQ102_spl,
    inference(contradiction_clause,[status(thm)],[f1850]) ).

fof(f1853,plain,
    ( ~ sQ90_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f446,f116]) ).

fof(f1854,plain,
    ! [X0] :
      ( ~ sQ90_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f446,f107]) ).

fof(f1855,plain,
    ! [X0] :
      ( ~ sQ90_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f446,f105]) ).

fof(f1856,plain,
    ! [X0] :
      ( ~ sQ90_spl
      | equalish(e_1,X0)
      | ~ product2(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f446,f103]) ).

fof(f1859,plain,
    ( ~ sQ90_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1853,f75]) ).

fof(f1860,plain,
    ~ sQ90_spl,
    inference(contradiction_clause,[status(thm)],[f1859]) ).

fof(f1861,plain,
    ( ~ sQ74_spl
    | ~ sQ139_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f606,f1403]) ).

fof(f1862,plain,
    ! [X0] :
      ( ~ sQ139_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f606,f107]) ).

fof(f1863,plain,
    ! [X0] :
      ( ~ sQ139_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,X0,e_5) ),
    inference(resolution,[status(thm)],[f606,f105]) ).

fof(f1864,plain,
    ! [X0] :
      ( ~ sQ139_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f606,f103]) ).

fof(f1865,plain,
    ( ~ sQ74_spl
    | ~ sQ139_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1861,f79]) ).

fof(f1866,plain,
    ( ~ sQ74_spl
    | ~ sQ139_spl ),
    inference(contradiction_clause,[status(thm)],[f1865]) ).

fof(f1867,plain,
    ( ~ sQ138_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f603,f116]) ).

fof(f1868,plain,
    ! [X0] :
      ( ~ sQ138_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f603,f107]) ).

fof(f1869,plain,
    ! [X0] :
      ( ~ sQ138_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f603,f105]) ).

fof(f1870,plain,
    ! [X0] :
      ( ~ sQ138_spl
      | equalish(e_4,X0)
      | ~ product2(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f603,f103]) ).

fof(f1871,plain,
    ( ~ sQ138_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1867,f85]) ).

fof(f1872,plain,
    ~ sQ138_spl,
    inference(contradiction_clause,[status(thm)],[f1871]) ).

fof(f1873,plain,
    ( ~ sQ11_spl
    | ~ sQ19_spl
    | ~ sQ137_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f600,f1748]) ).

fof(f1874,plain,
    ! [X0] :
      ( ~ sQ137_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f600,f107]) ).

fof(f1875,plain,
    ! [X0] :
      ( ~ sQ137_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f600,f105]) ).

fof(f1876,plain,
    ! [X0] :
      ( ~ sQ137_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f600,f103]) ).

fof(f1877,plain,
    ( ~ sQ11_spl
    | ~ sQ19_spl
    | ~ sQ137_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1873,f92]) ).

fof(f1878,plain,
    ( ~ sQ11_spl
    | ~ sQ19_spl
    | ~ sQ137_spl ),
    inference(contradiction_clause,[status(thm)],[f1877]) ).

fof(f1879,plain,
    ( ~ sQ56_spl
    | ~ sQ136_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f597,f1330]) ).

fof(f1880,plain,
    ! [X0] :
      ( ~ sQ136_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f597,f107]) ).

fof(f1881,plain,
    ! [X0] :
      ( ~ sQ136_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f597,f105]) ).

fof(f1882,plain,
    ! [X0] :
      ( ~ sQ136_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f597,f103]) ).

fof(f1883,plain,
    ( ~ sQ56_spl
    | ~ sQ136_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1879,f83]) ).

fof(f1884,plain,
    ( ~ sQ56_spl
    | ~ sQ136_spl ),
    inference(contradiction_clause,[status(thm)],[f1883]) ).

fof(f1885,plain,
    ( ~ sQ135_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f594,f117]) ).

fof(f1886,plain,
    ! [X0] :
      ( ~ sQ135_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f594,f107]) ).

fof(f1887,plain,
    ! [X0] :
      ( ~ sQ135_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f594,f105]) ).

fof(f1888,plain,
    ! [X0] :
      ( ~ sQ135_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f594,f103]) ).

fof(f1889,plain,
    ( ~ sQ135_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1885,f75]) ).

fof(f1890,plain,
    ~ sQ135_spl,
    inference(contradiction_clause,[status(thm)],[f1889]) ).

fof(f1891,plain,
    ! [X0] :
      ( ~ sQ134_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f590,f107]) ).

fof(f1892,plain,
    ! [X0] :
      ( ~ sQ134_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,X0,e_5) ),
    inference(resolution,[status(thm)],[f590,f105]) ).

fof(f1893,plain,
    ! [X0] :
      ( ~ sQ134_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f590,f103]) ).

fof(f1894,plain,
    ( ~ sQ133_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f587,f116]) ).

fof(f1895,plain,
    ! [X0] :
      ( ~ sQ133_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f587,f107]) ).

fof(f1896,plain,
    ! [X0] :
      ( ~ sQ133_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f587,f105]) ).

fof(f1897,plain,
    ! [X0] :
      ( ~ sQ133_spl
      | equalish(e_4,X0)
      | ~ product2(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f587,f103]) ).

fof(f1898,plain,
    ( ~ sQ133_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1894,f86]) ).

fof(f1899,plain,
    ~ sQ133_spl,
    inference(contradiction_clause,[status(thm)],[f1898]) ).

fof(f1900,plain,
    ! [X0] :
      ( ~ sQ132_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f584,f107]) ).

fof(f1901,plain,
    ! [X0] :
      ( ~ sQ132_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f584,f105]) ).

fof(f1902,plain,
    ! [X0] :
      ( ~ sQ132_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f584,f103]) ).

fof(f1903,plain,
    ( ~ sQ131_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f581,f117]) ).

fof(f1904,plain,
    ! [X0] :
      ( ~ sQ131_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f581,f107]) ).

fof(f1905,plain,
    ! [X0] :
      ( ~ sQ131_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f581,f105]) ).

fof(f1906,plain,
    ! [X0] :
      ( ~ sQ131_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f581,f103]) ).

fof(f1907,plain,
    ( ~ sQ131_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1903,f79]) ).

fof(f1908,plain,
    ~ sQ131_spl,
    inference(contradiction_clause,[status(thm)],[f1907]) ).

fof(f1909,plain,
    ! [X0] :
      ( ~ sQ130_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f578,f107]) ).

fof(f1910,plain,
    ! [X0] :
      ( ~ sQ130_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f578,f105]) ).

fof(f1911,plain,
    ! [X0] :
      ( ~ sQ130_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f578,f103]) ).

fof(f1912,plain,
    ( ~ sQ130_spl
    | ~ sQ50_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f1370,f578]) ).

fof(f1913,plain,
    ( ~ sQ130_spl
    | ~ sQ50_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1912,f83]) ).

fof(f1914,plain,
    ( ~ sQ130_spl
    | ~ sQ50_spl ),
    inference(contradiction_clause,[status(thm)],[f1913]) ).

fof(f1917,plain,
    ( ~ sQ132_spl
    | ~ sQ134_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f1893,f584]) ).

fof(f1919,plain,
    ( ~ sQ132_spl
    | ~ sQ134_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1917,f91]) ).

fof(f1920,plain,
    ( ~ sQ132_spl
    | ~ sQ134_spl ),
    inference(contradiction_clause,[status(thm)],[f1919]) ).

fof(f1921,plain,
    ! [X0] :
      ( ~ sQ129_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f574,f107]) ).

fof(f1922,plain,
    ! [X0] :
      ( ~ sQ129_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,X0,e_5) ),
    inference(resolution,[status(thm)],[f574,f105]) ).

fof(f1923,plain,
    ! [X0] :
      ( ~ sQ129_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f574,f103]) ).

fof(f1930,plain,
    ( ~ sQ128_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f571,f116]) ).

fof(f1931,plain,
    ! [X0] :
      ( ~ sQ128_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f571,f107]) ).

fof(f1932,plain,
    ! [X0] :
      ( ~ sQ128_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f571,f105]) ).

fof(f1933,plain,
    ! [X0] :
      ( ~ sQ128_spl
      | equalish(e_4,X0)
      | ~ product2(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f571,f103]) ).

fof(f1936,plain,
    ( ~ sQ127_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f568,f117]) ).

fof(f1937,plain,
    ! [X0] :
      ( ~ sQ127_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f568,f107]) ).

fof(f1938,plain,
    ! [X0] :
      ( ~ sQ127_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f568,f105]) ).

fof(f1939,plain,
    ! [X0] :
      ( ~ sQ127_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f568,f103]) ).

fof(f1940,plain,
    ( ~ sQ127_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1936,f83]) ).

fof(f1941,plain,
    ~ sQ127_spl,
    inference(contradiction_clause,[status(thm)],[f1940]) ).

fof(f1942,plain,
    ( ~ sQ136_spl
    | ~ sQ126_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f565,f1881]) ).

fof(f1943,plain,
    ! [X0] :
      ( ~ sQ126_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f565,f107]) ).

fof(f1944,plain,
    ! [X0] :
      ( ~ sQ126_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f565,f105]) ).

fof(f1945,plain,
    ! [X0] :
      ( ~ sQ126_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f565,f103]) ).

fof(f1946,plain,
    ( ~ sQ136_spl
    | ~ sQ126_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1942,f74]) ).

fof(f1947,plain,
    ( ~ sQ136_spl
    | ~ sQ126_spl ),
    inference(contradiction_clause,[status(thm)],[f1946]) ).

fof(f1948,plain,
    ( ~ sQ130_spl
    | ~ sQ125_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f562,f1910]) ).

fof(f1949,plain,
    ! [X0] :
      ( ~ sQ125_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f562,f107]) ).

fof(f1950,plain,
    ! [X0] :
      ( ~ sQ125_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f562,f105]) ).

fof(f1951,plain,
    ! [X0] :
      ( ~ sQ125_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f562,f103]) ).

fof(f1952,plain,
    ( ~ sQ130_spl
    | ~ sQ125_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1948,f78]) ).

fof(f1953,plain,
    ( ~ sQ130_spl
    | ~ sQ125_spl ),
    inference(contradiction_clause,[status(thm)],[f1952]) ).

fof(f1957,plain,
    ( ~ sQ124_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f558,f115]) ).

fof(f1958,plain,
    ! [X0] :
      ( ~ sQ124_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_4,e_5) ),
    inference(resolution,[status(thm)],[f558,f107]) ).

fof(f1959,plain,
    ! [X0] :
      ( ~ sQ124_spl
      | equalish(e_4,X0)
      | ~ product2(e_4,X0,e_5) ),
    inference(resolution,[status(thm)],[f558,f105]) ).

fof(f1960,plain,
    ! [X0] :
      ( ~ sQ124_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f558,f103]) ).

fof(f1961,plain,
    ( ~ sQ124_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1957,f88]) ).

fof(f1962,plain,
    ~ sQ124_spl,
    inference(contradiction_clause,[status(thm)],[f1961]) ).

fof(f1964,plain,
    ( ~ sQ122_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f552,f115]) ).

fof(f1965,plain,
    ! [X0] :
      ( ~ sQ122_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f552,f107]) ).

fof(f1966,plain,
    ! [X0] :
      ( ~ sQ122_spl
      | equalish(e_4,X0)
      | ~ product2(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f552,f105]) ).

fof(f1967,plain,
    ! [X0] :
      ( ~ sQ122_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f552,f103]) ).

fof(f1973,plain,
    ( ~ sQ101_spl
    | ~ sQ121_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f549,f1762]) ).

fof(f1974,plain,
    ( ~ sQ91_spl
    | ~ sQ121_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f549,f1831]) ).

fof(f1975,plain,
    ( ~ sQ121_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f549,f115]) ).

fof(f1976,plain,
    ! [X0] :
      ( ~ sQ121_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f549,f107]) ).

fof(f1977,plain,
    ! [X0] :
      ( ~ sQ121_spl
      | equalish(e_4,X0)
      | ~ product2(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f549,f105]) ).

fof(f1978,plain,
    ! [X0] :
      ( ~ sQ121_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f549,f103]) ).

fof(f1982,plain,
    ( ~ sQ95_spl
    | ~ sQ120_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f546,f1792]) ).

fof(f1983,plain,
    ( ~ sQ120_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f546,f115]) ).

fof(f1984,plain,
    ! [X0] :
      ( ~ sQ120_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f546,f107]) ).

fof(f1985,plain,
    ! [X0] :
      ( ~ sQ120_spl
      | equalish(e_4,X0)
      | ~ product2(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f546,f105]) ).

fof(f1986,plain,
    ! [X0] :
      ( ~ sQ120_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f546,f103]) ).

fof(f1991,plain,
    ( ~ sQ33_spl
    | ~ sQ159_spl
    | product2(e_5,e_3,e_1) ),
    inference(resolution,[status(thm)],[f674,f1276]) ).

fof(f1992,plain,
    ! [X0] :
      ( ~ sQ159_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f674,f99]) ).

fof(f1993,plain,
    ! [X0] :
      ( ~ sQ159_spl
      | equalish(e_1,X0)
      | ~ product1(e_4,X0,e_5) ),
    inference(resolution,[status(thm)],[f674,f97]) ).

fof(f1994,plain,
    ! [X0] :
      ( ~ sQ159_spl
      | equalish(e_5,X0)
      | ~ product1(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f674,f95]) ).

fof(f1995,plain,
    ! [X0] :
      ( ~ sQ159_spl
      | product2(X0,e_1,e_4)
      | ~ product1(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f674,f110]) ).

fof(f1998,plain,
    ( ~ sQ158_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f671,f111]) ).

fof(f1999,plain,
    ! [X0] :
      ( ~ sQ158_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f671,f99]) ).

fof(f2000,plain,
    ! [X0] :
      ( ~ sQ158_spl
      | equalish(e_1,X0)
      | ~ product1(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f671,f97]) ).

fof(f2001,plain,
    ! [X0] :
      ( ~ sQ158_spl
      | equalish(e_4,X0)
      | ~ product1(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f671,f95]) ).

fof(f2002,plain,
    ! [X0] :
      ( ~ sQ158_spl
      | product2(X0,e_1,e_4)
      | ~ product1(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f671,f110]) ).

fof(f2006,plain,
    ( ~ sQ33_spl
    | ~ sQ157_spl
    | product2(e_3,e_3,e_1) ),
    inference(resolution,[status(thm)],[f668,f1276]) ).

fof(f2007,plain,
    ( ~ sQ27_spl
    | ~ sQ157_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f668,f1077]) ).

fof(f2008,plain,
    ! [X0] :
      ( ~ sQ157_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f668,f99]) ).

fof(f2009,plain,
    ! [X0] :
      ( ~ sQ157_spl
      | equalish(e_1,X0)
      | ~ product1(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f668,f97]) ).

fof(f2010,plain,
    ! [X0] :
      ( ~ sQ157_spl
      | equalish(e_3,X0)
      | ~ product1(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f668,f95]) ).

fof(f2011,plain,
    ! [X0] :
      ( ~ sQ157_spl
      | product2(X0,e_1,e_4)
      | ~ product1(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f668,f110]) ).

fof(f2012,plain,
    ( ~ sQ33_spl
    | ~ sQ157_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f2006,f280,f667,f238]) ).

fof(f2013,plain,
    ( ~ sQ27_spl
    | ~ sQ157_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2007,f79]) ).

fof(f2014,plain,
    ( ~ sQ27_spl
    | ~ sQ157_spl ),
    inference(contradiction_clause,[status(thm)],[f2013]) ).

fof(f2015,plain,
    ( ~ sQ33_spl
    | ~ sQ156_spl
    | product2(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[f665,f1276]) ).

fof(f2016,plain,
    ! [X0] :
      ( ~ sQ156_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f665,f99]) ).

fof(f2017,plain,
    ! [X0] :
      ( ~ sQ156_spl
      | equalish(e_1,X0)
      | ~ product1(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f665,f97]) ).

fof(f2018,plain,
    ! [X0] :
      ( ~ sQ156_spl
      | equalish(e_2,X0)
      | ~ product1(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f665,f95]) ).

fof(f2019,plain,
    ! [X0] :
      ( ~ sQ156_spl
      | product2(X0,e_1,e_4)
      | ~ product1(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f665,f110]) ).

fof(f2020,plain,
    ( ~ sQ33_spl
    | ~ sQ156_spl
    | sQ60_spl ),
    inference(split_clause,[status(thm)],[f2015,f331,f664,f238]) ).

fof(f2022,plain,
    ( ~ sQ155_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f662,f114]) ).

fof(f2023,plain,
    ! [X0] :
      ( ~ sQ155_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f662,f99]) ).

fof(f2024,plain,
    ! [X0] :
      ( ~ sQ155_spl
      | equalish(e_1,X0)
      | ~ product1(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f662,f97]) ).

fof(f2025,plain,
    ! [X0] :
      ( ~ sQ155_spl
      | equalish(e_1,X0)
      | ~ product1(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f662,f95]) ).

fof(f2026,plain,
    ! [X0] :
      ( ~ sQ155_spl
      | product2(X0,e_1,e_4)
      | ~ product1(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f662,f110]) ).

fof(f2028,plain,
    ( ~ sQ155_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2022,f75]) ).

fof(f2029,plain,
    ~ sQ155_spl,
    inference(contradiction_clause,[status(thm)],[f2028]) ).

fof(f2030,plain,
    ! [X0] :
      ( ~ sQ154_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f658,f99]) ).

fof(f2031,plain,
    ! [X0] :
      ( ~ sQ154_spl
      | equalish(e_2,X0)
      | ~ product1(e_4,X0,e_5) ),
    inference(resolution,[status(thm)],[f658,f97]) ).

fof(f2032,plain,
    ! [X0] :
      ( ~ sQ154_spl
      | equalish(e_5,X0)
      | ~ product1(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f658,f95]) ).

fof(f2033,plain,
    ! [X0] :
      ( ~ sQ154_spl
      | product2(X0,e_2,e_4)
      | ~ product1(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f658,f110]) ).

fof(f2035,plain,
    ( ~ sQ153_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f655,f111]) ).

fof(f2036,plain,
    ! [X0] :
      ( ~ sQ153_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f655,f99]) ).

fof(f2037,plain,
    ! [X0] :
      ( ~ sQ153_spl
      | equalish(e_2,X0)
      | ~ product1(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f655,f97]) ).

fof(f2038,plain,
    ! [X0] :
      ( ~ sQ153_spl
      | equalish(e_4,X0)
      | ~ product1(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f655,f95]) ).

fof(f2039,plain,
    ! [X0] :
      ( ~ sQ153_spl
      | product2(X0,e_2,e_4)
      | ~ product1(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f655,f110]) ).

fof(f2042,plain,
    ( ~ sQ37_spl
    | ~ sQ152_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f652,f1250]) ).

fof(f2043,plain,
    ! [X0] :
      ( ~ sQ152_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f652,f99]) ).

fof(f2044,plain,
    ! [X0] :
      ( ~ sQ152_spl
      | equalish(e_2,X0)
      | ~ product1(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f652,f97]) ).

fof(f2045,plain,
    ! [X0] :
      ( ~ sQ152_spl
      | equalish(e_3,X0)
      | ~ product1(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f652,f95]) ).

fof(f2046,plain,
    ! [X0] :
      ( ~ sQ152_spl
      | product2(X0,e_2,e_4)
      | ~ product1(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f652,f110]) ).

fof(f2047,plain,
    ( ~ sQ37_spl
    | ~ sQ152_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2042,f75]) ).

fof(f2048,plain,
    ( ~ sQ37_spl
    | ~ sQ152_spl ),
    inference(contradiction_clause,[status(thm)],[f2047]) ).

fof(f2049,plain,
    ( ~ sQ151_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f649,f114]) ).

fof(f2050,plain,
    ! [X0] :
      ( ~ sQ151_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f649,f99]) ).

fof(f2051,plain,
    ! [X0] :
      ( ~ sQ151_spl
      | equalish(e_2,X0)
      | ~ product1(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f649,f97]) ).

fof(f2052,plain,
    ! [X0] :
      ( ~ sQ151_spl
      | equalish(e_2,X0)
      | ~ product1(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f649,f95]) ).

fof(f2053,plain,
    ! [X0] :
      ( ~ sQ151_spl
      | product2(X0,e_2,e_4)
      | ~ product1(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f649,f110]) ).

fof(f2054,plain,
    ( ~ sQ151_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2049,f79]) ).

fof(f2055,plain,
    ~ sQ151_spl,
    inference(contradiction_clause,[status(thm)],[f2054]) ).

fof(f2056,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | ~ sQ159_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f1991,f107]) ).

fof(f2057,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | ~ sQ159_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f1991,f105]) ).

fof(f2058,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | ~ sQ159_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f1991,f103]) ).

fof(f2063,plain,
    ( ~ sQ154_spl
    | ~ sQ159_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f1993,f658]) ).

fof(f2065,plain,
    ( ~ sQ154_spl
    | ~ sQ159_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2063,f73]) ).

fof(f2066,plain,
    ( ~ sQ154_spl
    | ~ sQ159_spl ),
    inference(contradiction_clause,[status(thm)],[f2065]) ).

fof(f2067,plain,
    ! [X0] :
      ( ~ sQ150_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f646,f99]) ).

fof(f2068,plain,
    ! [X0] :
      ( ~ sQ150_spl
      | equalish(e_2,X0)
      | ~ product1(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f646,f97]) ).

fof(f2069,plain,
    ! [X0] :
      ( ~ sQ150_spl
      | equalish(e_1,X0)
      | ~ product1(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f646,f95]) ).

fof(f2070,plain,
    ! [X0] :
      ( ~ sQ150_spl
      | product2(X0,e_2,e_4)
      | ~ product1(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f646,f110]) ).

fof(f2074,plain,
    ( ~ sQ13_spl
    | ~ sQ149_spl
    | product2(e_5,e_1,e_3) ),
    inference(resolution,[status(thm)],[f642,f996]) ).

fof(f2075,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | product2(e_5,e_2,e_3) ),
    inference(resolution,[status(thm)],[f642,f1032]) ).

fof(f2076,plain,
    ( ~ sQ19_spl
    | ~ sQ149_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f642,f1141]) ).

fof(f2077,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f642,f99]) ).

fof(f2078,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | equalish(e_3,X0)
      | ~ product1(e_4,X0,e_5) ),
    inference(resolution,[status(thm)],[f642,f97]) ).

fof(f2079,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | equalish(e_5,X0)
      | ~ product1(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f642,f95]) ).

fof(f2080,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | product2(X0,e_3,e_4)
      | ~ product1(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f642,f110]) ).

fof(f2081,plain,
    ( ~ sQ19_spl
    | ~ sQ149_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2076,f79]) ).

fof(f2082,plain,
    ( ~ sQ19_spl
    | ~ sQ149_spl ),
    inference(contradiction_clause,[status(thm)],[f2081]) ).

fof(f2083,plain,
    ( ~ sQ13_spl
    | ~ sQ148_spl
    | product2(e_4,e_1,e_3) ),
    inference(resolution,[status(thm)],[f639,f996]) ).

fof(f2084,plain,
    ( ~ sQ8_spl
    | ~ sQ148_spl
    | product2(e_4,e_2,e_3) ),
    inference(resolution,[status(thm)],[f639,f1032]) ).

fof(f2086,plain,
    ( ~ sQ148_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f639,f111]) ).

fof(f2087,plain,
    ! [X0] :
      ( ~ sQ148_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f639,f99]) ).

fof(f2088,plain,
    ! [X0] :
      ( ~ sQ148_spl
      | equalish(e_3,X0)
      | ~ product1(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f639,f97]) ).

fof(f2089,plain,
    ! [X0] :
      ( ~ sQ148_spl
      | equalish(e_4,X0)
      | ~ product1(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f639,f95]) ).

fof(f2090,plain,
    ! [X0] :
      ( ~ sQ148_spl
      | product2(X0,e_3,e_4)
      | ~ product1(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f639,f110]) ).

fof(f2095,plain,
    ( ~ sQ147_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f636,f114]) ).

fof(f2096,plain,
    ! [X0] :
      ( ~ sQ147_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f636,f99]) ).

fof(f2097,plain,
    ! [X0] :
      ( ~ sQ147_spl
      | equalish(e_3,X0)
      | ~ product1(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f636,f97]) ).

fof(f2098,plain,
    ! [X0] :
      ( ~ sQ147_spl
      | equalish(e_3,X0)
      | ~ product1(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f636,f95]) ).

fof(f2099,plain,
    ! [X0] :
      ( ~ sQ147_spl
      | product2(X0,e_3,e_4)
      | ~ product1(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f636,f110]) ).

fof(f2102,plain,
    ( ~ sQ147_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2095,f83]) ).

fof(f2103,plain,
    ~ sQ147_spl,
    inference(contradiction_clause,[status(thm)],[f2102]) ).

fof(f2104,plain,
    ( ~ sQ13_spl
    | ~ sQ146_spl
    | product2(e_2,e_1,e_3) ),
    inference(resolution,[status(thm)],[f633,f996]) ).

fof(f2105,plain,
    ( ~ sQ8_spl
    | ~ sQ146_spl
    | product2(e_2,e_2,e_3) ),
    inference(resolution,[status(thm)],[f633,f1032]) ).

fof(f2106,plain,
    ( ~ sQ156_spl
    | ~ sQ146_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f633,f2017]) ).

fof(f2107,plain,
    ! [X0] :
      ( ~ sQ146_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f633,f99]) ).

fof(f2108,plain,
    ! [X0] :
      ( ~ sQ146_spl
      | equalish(e_3,X0)
      | ~ product1(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f633,f97]) ).

fof(f2109,plain,
    ! [X0] :
      ( ~ sQ146_spl
      | equalish(e_2,X0)
      | ~ product1(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f633,f95]) ).

fof(f2110,plain,
    ! [X0] :
      ( ~ sQ146_spl
      | product2(X0,e_3,e_4)
      | ~ product1(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f633,f110]) ).

fof(f2111,plain,
    ( ~ sQ13_spl
    | ~ sQ146_spl
    | sQ72_spl ),
    inference(split_clause,[status(thm)],[f2104,f369,f632,f168]) ).

fof(f2112,plain,
    ( ~ sQ8_spl
    | ~ sQ146_spl
    | sQ67_spl ),
    inference(split_clause,[status(thm)],[f2105,f353,f632,f152]) ).

fof(f2113,plain,
    ( ~ sQ156_spl
    | ~ sQ146_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2106,f74]) ).

fof(f2114,plain,
    ( ~ sQ156_spl
    | ~ sQ146_spl ),
    inference(contradiction_clause,[status(thm)],[f2113]) ).

fof(f2115,plain,
    ( ~ sQ13_spl
    | ~ sQ145_spl
    | product2(e_1,e_1,e_3) ),
    inference(resolution,[status(thm)],[f630,f996]) ).

fof(f2116,plain,
    ( ~ sQ8_spl
    | ~ sQ145_spl
    | product2(e_1,e_2,e_3) ),
    inference(resolution,[status(thm)],[f630,f1032]) ).

fof(f2117,plain,
    ( ~ sQ150_spl
    | ~ sQ145_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f630,f2068]) ).

fof(f2118,plain,
    ! [X0] :
      ( ~ sQ145_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f630,f99]) ).

fof(f2119,plain,
    ! [X0] :
      ( ~ sQ145_spl
      | equalish(e_3,X0)
      | ~ product1(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f630,f97]) ).

fof(f2120,plain,
    ! [X0] :
      ( ~ sQ145_spl
      | equalish(e_1,X0)
      | ~ product1(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f630,f95]) ).

fof(f2121,plain,
    ! [X0] :
      ( ~ sQ145_spl
      | product2(X0,e_3,e_4)
      | ~ product1(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f630,f110]) ).

fof(f2122,plain,
    ( ~ sQ13_spl
    | ~ sQ145_spl
    | sQ87_spl ),
    inference(split_clause,[status(thm)],[f2115,f420,f629,f168]) ).

fof(f2123,plain,
    ( ~ sQ150_spl
    | ~ sQ145_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2117,f78]) ).

fof(f2124,plain,
    ( ~ sQ150_spl
    | ~ sQ145_spl ),
    inference(contradiction_clause,[status(thm)],[f2123]) ).

fof(f2125,plain,
    ( ~ sQ148_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2086,f87]) ).

fof(f2126,plain,
    ~ sQ148_spl,
    inference(contradiction_clause,[status(thm)],[f2125]) ).

fof(f2127,plain,
    ( ~ sQ45_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1397,f81]) ).

fof(f2128,plain,
    ~ sQ45_spl,
    inference(contradiction_clause,[status(thm)],[f2127]) ).

fof(f2132,plain,
    ( ~ sQ132_spl
    | ~ sQ8_spl
    | ~ sQ145_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f2116,f1900]) ).

fof(f2133,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ sQ145_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f2116,f107]) ).

fof(f2134,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ sQ145_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f2116,f105]) ).

fof(f2135,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ sQ145_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f2116,f103]) ).

fof(f2136,plain,
    ( ~ sQ132_spl
    | ~ sQ8_spl
    | ~ sQ145_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2132,f85]) ).

fof(f2137,plain,
    ( ~ sQ132_spl
    | ~ sQ8_spl
    | ~ sQ145_spl ),
    inference(contradiction_clause,[status(thm)],[f2136]) ).

fof(f2141,plain,
    ( ~ sQ82_spl
    | ~ sQ8_spl
    | ~ sQ149_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f2075,f1539]) ).

fof(f2142,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ sQ149_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f2075,f107]) ).

fof(f2143,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ sQ149_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f2075,f105]) ).

fof(f2144,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | ~ sQ149_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f2075,f103]) ).

fof(f2145,plain,
    ( ~ sQ82_spl
    | ~ sQ8_spl
    | ~ sQ149_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2141,f76]) ).

fof(f2146,plain,
    ( ~ sQ82_spl
    | ~ sQ8_spl
    | ~ sQ149_spl ),
    inference(contradiction_clause,[status(thm)],[f2145]) ).

fof(f2150,plain,
    ( ~ sQ144_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f626,f112]) ).

fof(f2151,plain,
    ( ~ sQ144_spl
    | product2(e_5,e_4,e_4) ),
    inference(resolution,[status(thm)],[f626,f113]) ).

fof(f2152,plain,
    ! [X0] :
      ( ~ sQ144_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_4,e_5) ),
    inference(resolution,[status(thm)],[f626,f99]) ).

fof(f2153,plain,
    ! [X0] :
      ( ~ sQ144_spl
      | equalish(e_4,X0)
      | ~ product1(e_4,X0,e_5) ),
    inference(resolution,[status(thm)],[f626,f97]) ).

fof(f2154,plain,
    ! [X0] :
      ( ~ sQ144_spl
      | equalish(e_5,X0)
      | ~ product1(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f626,f95]) ).

fof(f2155,plain,
    ! [X0] :
      ( ~ sQ144_spl
      | product2(X0,e_4,e_4)
      | ~ product1(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f626,f110]) ).

fof(f2156,plain,
    ( ~ sQ144_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2150,f88]) ).

fof(f2157,plain,
    ~ sQ144_spl,
    inference(contradiction_clause,[status(thm)],[f2156]) ).

fof(f2160,plain,
    ( ~ sQ142_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f620,f112]) ).

fof(f2161,plain,
    ( ~ sQ142_spl
    | product2(e_3,e_4,e_4) ),
    inference(resolution,[status(thm)],[f620,f113]) ).

fof(f2162,plain,
    ! [X0] :
      ( ~ sQ142_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f620,f99]) ).

fof(f2163,plain,
    ! [X0] :
      ( ~ sQ142_spl
      | equalish(e_4,X0)
      | ~ product1(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f620,f97]) ).

fof(f2164,plain,
    ! [X0] :
      ( ~ sQ142_spl
      | equalish(e_3,X0)
      | ~ product1(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f620,f95]) ).

fof(f2165,plain,
    ! [X0] :
      ( ~ sQ142_spl
      | product2(X0,e_4,e_4)
      | ~ product1(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f620,f110]) ).

fof(f2170,plain,
    ( ~ sQ141_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f617,f112]) ).

fof(f2171,plain,
    ( ~ sQ141_spl
    | product2(e_2,e_4,e_4) ),
    inference(resolution,[status(thm)],[f617,f113]) ).

fof(f2172,plain,
    ! [X0] :
      ( ~ sQ141_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f617,f99]) ).

fof(f2173,plain,
    ! [X0] :
      ( ~ sQ141_spl
      | equalish(e_4,X0)
      | ~ product1(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f617,f97]) ).

fof(f2174,plain,
    ! [X0] :
      ( ~ sQ141_spl
      | equalish(e_2,X0)
      | ~ product1(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f617,f95]) ).

fof(f2175,plain,
    ! [X0] :
      ( ~ sQ141_spl
      | product2(X0,e_4,e_4)
      | ~ product1(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f617,f110]) ).

fof(f2181,plain,
    ( ~ sQ140_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f614,f112]) ).

fof(f2182,plain,
    ( ~ sQ140_spl
    | product2(e_1,e_4,e_4) ),
    inference(resolution,[status(thm)],[f614,f113]) ).

fof(f2183,plain,
    ! [X0] :
      ( ~ sQ140_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f614,f99]) ).

fof(f2184,plain,
    ! [X0] :
      ( ~ sQ140_spl
      | equalish(e_4,X0)
      | ~ product1(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f614,f97]) ).

fof(f2185,plain,
    ! [X0] :
      ( ~ sQ140_spl
      | equalish(e_1,X0)
      | ~ product1(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f614,f95]) ).

fof(f2186,plain,
    ! [X0] :
      ( ~ sQ140_spl
      | product2(X0,e_4,e_4)
      | ~ product1(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f614,f110]) ).

fof(f2189,plain,
    ( ~ sQ141_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2170,f86]) ).

fof(f2190,plain,
    ~ sQ141_spl,
    inference(contradiction_clause,[status(thm)],[f2189]) ).

fof(f2191,plain,
    ( ~ sQ199_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f812,f114]) ).

fof(f2192,plain,
    ! [X0] :
      ( ~ sQ199_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_5,e_5) ),
    inference(resolution,[status(thm)],[f812,f99]) ).

fof(f2193,plain,
    ! [X0] :
      ( ~ sQ199_spl
      | equalish(e_5,X0)
      | ~ product1(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f812,f97]) ).

fof(f2194,plain,
    ! [X0] :
      ( ~ sQ199_spl
      | equalish(e_5,X0)
      | ~ product1(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f812,f95]) ).

fof(f2195,plain,
    ! [X0] :
      ( ~ sQ199_spl
      | product2(X0,e_5,e_3)
      | ~ product1(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f812,f110]) ).

fof(f2196,plain,
    ( ~ sQ199_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2191,f91]) ).

fof(f2197,plain,
    ~ sQ199_spl,
    inference(contradiction_clause,[status(thm)],[f2196]) ).

fof(f2198,plain,
    ( ~ sQ8_spl
    | ~ sQ198_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f809,f1030]) ).

fof(f2199,plain,
    ! [X0] :
      ( ~ sQ198_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f809,f99]) ).

fof(f2200,plain,
    ! [X0] :
      ( ~ sQ198_spl
      | equalish(e_5,X0)
      | ~ product1(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f809,f97]) ).

fof(f2201,plain,
    ! [X0] :
      ( ~ sQ198_spl
      | equalish(e_4,X0)
      | ~ product1(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f809,f95]) ).

fof(f2202,plain,
    ! [X0] :
      ( ~ sQ198_spl
      | product2(X0,e_5,e_3)
      | ~ product1(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f809,f110]) ).

fof(f2203,plain,
    ( ~ sQ8_spl
    | ~ sQ198_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2198,f80]) ).

fof(f2204,plain,
    ( ~ sQ8_spl
    | ~ sQ198_spl ),
    inference(contradiction_clause,[status(thm)],[f2203]) ).

fof(f2205,plain,
    ( ~ sQ197_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f806,f111]) ).

fof(f2206,plain,
    ! [X0] :
      ( ~ sQ197_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f806,f99]) ).

fof(f2207,plain,
    ! [X0] :
      ( ~ sQ197_spl
      | equalish(e_5,X0)
      | ~ product1(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f806,f97]) ).

fof(f2208,plain,
    ! [X0] :
      ( ~ sQ197_spl
      | equalish(e_3,X0)
      | ~ product1(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f806,f95]) ).

fof(f2209,plain,
    ! [X0] :
      ( ~ sQ197_spl
      | product2(X0,e_5,e_3)
      | ~ product1(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f806,f110]) ).

fof(f2210,plain,
    ( ~ sQ197_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2205,f84]) ).

fof(f2211,plain,
    ~ sQ197_spl,
    inference(contradiction_clause,[status(thm)],[f2210]) ).

fof(f2212,plain,
    ( ~ sQ11_spl
    | ~ sQ196_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f803,f1007]) ).

fof(f2213,plain,
    ! [X0] :
      ( ~ sQ196_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f803,f99]) ).

fof(f2214,plain,
    ! [X0] :
      ( ~ sQ196_spl
      | equalish(e_5,X0)
      | ~ product1(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f803,f97]) ).

fof(f2215,plain,
    ! [X0] :
      ( ~ sQ196_spl
      | equalish(e_2,X0)
      | ~ product1(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f803,f95]) ).

fof(f2216,plain,
    ! [X0] :
      ( ~ sQ196_spl
      | product2(X0,e_5,e_3)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f803,f110]) ).

fof(f2217,plain,
    ( ~ sQ11_spl
    | ~ sQ196_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2212,f76]) ).

fof(f2218,plain,
    ( ~ sQ11_spl
    | ~ sQ196_spl ),
    inference(contradiction_clause,[status(thm)],[f2217]) ).

fof(f2219,plain,
    ! [X0] :
      ( ~ sQ195_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f800,f99]) ).

fof(f2220,plain,
    ! [X0] :
      ( ~ sQ195_spl
      | equalish(e_5,X0)
      | ~ product1(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f800,f97]) ).

fof(f2221,plain,
    ! [X0] :
      ( ~ sQ195_spl
      | equalish(e_1,X0)
      | ~ product1(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f800,f95]) ).

fof(f2222,plain,
    ! [X0] :
      ( ~ sQ195_spl
      | product2(X0,e_5,e_3)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f800,f110]) ).

fof(f2229,plain,
    ( ~ sQ195_spl
    | ~ sQ115_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f1628,f800]) ).

fof(f2230,plain,
    ( ~ sQ195_spl
    | ~ sQ115_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2229,f88]) ).

fof(f2231,plain,
    ( ~ sQ195_spl
    | ~ sQ115_spl ),
    inference(contradiction_clause,[status(thm)],[f2230]) ).

fof(f2235,plain,
    ( ~ sQ194_spl
    | equalish(e_5,e_2) ),
    inference(resolution,[status(thm)],[f796,f114]) ).

fof(f2236,plain,
    ! [X0] :
      ( ~ sQ194_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_5,e_5) ),
    inference(resolution,[status(thm)],[f796,f99]) ).

fof(f2237,plain,
    ! [X0] :
      ( ~ sQ194_spl
      | equalish(e_5,X0)
      | ~ product1(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f796,f97]) ).

fof(f2238,plain,
    ! [X0] :
      ( ~ sQ194_spl
      | equalish(e_5,X0)
      | ~ product1(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f796,f95]) ).

fof(f2239,plain,
    ! [X0] :
      ( ~ sQ194_spl
      | product2(X0,e_5,e_2)
      | ~ product1(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f796,f110]) ).

fof(f2240,plain,
    ( ~ sQ194_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2235,f90]) ).

fof(f2241,plain,
    ~ sQ194_spl,
    inference(contradiction_clause,[status(thm)],[f2240]) ).

fof(f2242,plain,
    ( ~ sQ28_spl
    | ~ sQ193_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f793,f1072]) ).

fof(f2243,plain,
    ( ~ sQ18_spl
    | ~ sQ193_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f793,f1149]) ).

fof(f2244,plain,
    ! [X0] :
      ( ~ sQ193_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f793,f99]) ).

fof(f2245,plain,
    ! [X0] :
      ( ~ sQ193_spl
      | equalish(e_5,X0)
      | ~ product1(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f793,f97]) ).

fof(f2246,plain,
    ! [X0] :
      ( ~ sQ193_spl
      | equalish(e_4,X0)
      | ~ product1(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f793,f95]) ).

fof(f2247,plain,
    ! [X0] :
      ( ~ sQ193_spl
      | product2(X0,e_5,e_2)
      | ~ product1(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f793,f110]) ).

fof(f2248,plain,
    ( ~ sQ28_spl
    | ~ sQ193_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2242,f76]) ).

fof(f2249,plain,
    ( ~ sQ28_spl
    | ~ sQ193_spl ),
    inference(contradiction_clause,[status(thm)],[f2248]) ).

fof(f2250,plain,
    ( ~ sQ27_spl
    | ~ sQ192_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f790,f1078]) ).

fof(f2251,plain,
    ! [X0] :
      ( ~ sQ192_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f790,f99]) ).

fof(f2252,plain,
    ! [X0] :
      ( ~ sQ192_spl
      | equalish(e_5,X0)
      | ~ product1(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f790,f97]) ).

fof(f2253,plain,
    ! [X0] :
      ( ~ sQ192_spl
      | equalish(e_3,X0)
      | ~ product1(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f790,f95]) ).

fof(f2254,plain,
    ! [X0] :
      ( ~ sQ192_spl
      | product2(X0,e_5,e_2)
      | ~ product1(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f790,f110]) ).

fof(f2255,plain,
    ( ~ sQ27_spl
    | ~ sQ192_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2250,f76]) ).

fof(f2256,plain,
    ( ~ sQ27_spl
    | ~ sQ192_spl ),
    inference(contradiction_clause,[status(thm)],[f2255]) ).

fof(f2260,plain,
    ( ~ sQ192_spl
    | ~ sQ112_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f1651,f790]) ).

fof(f2261,plain,
    ( ~ sQ192_spl
    | ~ sQ112_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2260,f88]) ).

fof(f2262,plain,
    ( ~ sQ192_spl
    | ~ sQ112_spl ),
    inference(contradiction_clause,[status(thm)],[f2261]) ).

fof(f2263,plain,
    ( ~ sQ191_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f787,f111]) ).

fof(f2264,plain,
    ! [X0] :
      ( ~ sQ191_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f787,f99]) ).

fof(f2265,plain,
    ! [X0] :
      ( ~ sQ191_spl
      | equalish(e_5,X0)
      | ~ product1(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f787,f97]) ).

fof(f2266,plain,
    ! [X0] :
      ( ~ sQ191_spl
      | equalish(e_2,X0)
      | ~ product1(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f787,f95]) ).

fof(f2267,plain,
    ! [X0] :
      ( ~ sQ191_spl
      | product2(X0,e_5,e_2)
      | ~ product1(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f787,f110]) ).

fof(f2268,plain,
    ( ~ sQ191_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2263,f80]) ).

fof(f2269,plain,
    ~ sQ191_spl,
    inference(contradiction_clause,[status(thm)],[f2268]) ).

fof(f2270,plain,
    ( ~ sQ110_spl
    | ~ sQ190_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f784,f1665]) ).

fof(f2271,plain,
    ( ~ sQ195_spl
    | ~ sQ190_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f784,f2219]) ).

fof(f2272,plain,
    ! [X0] :
      ( ~ sQ190_spl
      | equalish(e_2,X0)
      | ~ product1(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f784,f99]) ).

fof(f2273,plain,
    ! [X0] :
      ( ~ sQ190_spl
      | equalish(e_5,X0)
      | ~ product1(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f784,f97]) ).

fof(f2274,plain,
    ! [X0] :
      ( ~ sQ190_spl
      | equalish(e_1,X0)
      | ~ product1(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f784,f95]) ).

fof(f2275,plain,
    ! [X0] :
      ( ~ sQ190_spl
      | product2(X0,e_5,e_2)
      | ~ product1(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f784,f110]) ).

fof(f2276,plain,
    ( ~ sQ110_spl
    | ~ sQ190_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2270,f88]) ).

fof(f2277,plain,
    ( ~ sQ110_spl
    | ~ sQ190_spl ),
    inference(contradiction_clause,[status(thm)],[f2276]) ).

fof(f2278,plain,
    ( ~ sQ195_spl
    | ~ sQ190_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2271,f82]) ).

fof(f2279,plain,
    ( ~ sQ195_spl
    | ~ sQ190_spl ),
    inference(contradiction_clause,[status(thm)],[f2278]) ).

fof(f2281,plain,
    ( ~ sQ189_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f780,f114]) ).

fof(f2282,plain,
    ! [X0] :
      ( ~ sQ189_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_5,e_5) ),
    inference(resolution,[status(thm)],[f780,f99]) ).

fof(f2283,plain,
    ! [X0] :
      ( ~ sQ189_spl
      | equalish(e_5,X0)
      | ~ product1(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f780,f97]) ).

fof(f2284,plain,
    ! [X0] :
      ( ~ sQ189_spl
      | equalish(e_5,X0)
      | ~ product1(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f780,f95]) ).

fof(f2285,plain,
    ! [X0] :
      ( ~ sQ189_spl
      | product2(X0,e_5,e_1)
      | ~ product1(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f780,f110]) ).

fof(f2288,plain,
    ! [X0] :
      ( ~ sQ188_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f777,f99]) ).

fof(f2289,plain,
    ! [X0] :
      ( ~ sQ188_spl
      | equalish(e_5,X0)
      | ~ product1(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f777,f97]) ).

fof(f2290,plain,
    ! [X0] :
      ( ~ sQ188_spl
      | equalish(e_4,X0)
      | ~ product1(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f777,f95]) ).

fof(f2291,plain,
    ! [X0] :
      ( ~ sQ188_spl
      | product2(X0,e_5,e_1)
      | ~ product1(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f777,f110]) ).

fof(f2292,plain,
    ( ~ sQ107_spl
    | ~ sQ187_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f774,f1681]) ).

fof(f2293,plain,
    ( ~ sQ192_spl
    | ~ sQ187_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f774,f2251]) ).

fof(f2294,plain,
    ! [X0] :
      ( ~ sQ187_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f774,f99]) ).

fof(f2295,plain,
    ! [X0] :
      ( ~ sQ187_spl
      | equalish(e_5,X0)
      | ~ product1(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f774,f97]) ).

fof(f2296,plain,
    ! [X0] :
      ( ~ sQ187_spl
      | equalish(e_3,X0)
      | ~ product1(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f774,f95]) ).

fof(f2297,plain,
    ! [X0] :
      ( ~ sQ187_spl
      | product2(X0,e_5,e_1)
      | ~ product1(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f774,f110]) ).

fof(f2298,plain,
    ( ~ sQ107_spl
    | ~ sQ187_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2292,f88]) ).

fof(f2299,plain,
    ( ~ sQ107_spl
    | ~ sQ187_spl ),
    inference(contradiction_clause,[status(thm)],[f2298]) ).

fof(f2300,plain,
    ( ~ sQ31_spl
    | ~ sQ186_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f771,f1287]) ).

fof(f2301,plain,
    ! [X0] :
      ( ~ sQ186_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f771,f99]) ).

fof(f2302,plain,
    ! [X0] :
      ( ~ sQ186_spl
      | equalish(e_5,X0)
      | ~ product1(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f771,f97]) ).

fof(f2303,plain,
    ! [X0] :
      ( ~ sQ186_spl
      | equalish(e_2,X0)
      | ~ product1(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f771,f95]) ).

fof(f2304,plain,
    ! [X0] :
      ( ~ sQ186_spl
      | product2(X0,e_5,e_1)
      | ~ product1(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f771,f110]) ).

fof(f2305,plain,
    ( ~ sQ31_spl
    | ~ sQ186_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2300,f84]) ).

fof(f2306,plain,
    ( ~ sQ31_spl
    | ~ sQ186_spl ),
    inference(contradiction_clause,[status(thm)],[f2305]) ).

fof(f2308,plain,
    ( ~ sQ185_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f768,f111]) ).

fof(f2309,plain,
    ! [X0] :
      ( ~ sQ185_spl
      | equalish(e_1,X0)
      | ~ product1(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f768,f99]) ).

fof(f2310,plain,
    ! [X0] :
      ( ~ sQ185_spl
      | equalish(e_5,X0)
      | ~ product1(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f768,f97]) ).

fof(f2311,plain,
    ! [X0] :
      ( ~ sQ185_spl
      | equalish(e_1,X0)
      | ~ product1(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f768,f95]) ).

fof(f2312,plain,
    ! [X0] :
      ( ~ sQ185_spl
      | product2(X0,e_5,e_1)
      | ~ product1(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f768,f110]) ).

fof(f2315,plain,
    ( ~ sQ184_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f764,f117]) ).

fof(f2316,plain,
    ! [X0] :
      ( ~ sQ184_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_5,e_5) ),
    inference(resolution,[status(thm)],[f764,f107]) ).

fof(f2317,plain,
    ! [X0] :
      ( ~ sQ184_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f764,f105]) ).

fof(f2318,plain,
    ! [X0] :
      ( ~ sQ184_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f764,f103]) ).

fof(f2319,plain,
    ( ~ sQ184_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2315,f91]) ).

fof(f2320,plain,
    ~ sQ184_spl,
    inference(contradiction_clause,[status(thm)],[f2319]) ).

fof(f2321,plain,
    ( ~ sQ53_spl
    | ~ sQ183_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f761,f1351]) ).

fof(f2322,plain,
    ( ~ sQ58_spl
    | ~ sQ183_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f761,f1320]) ).

fof(f2323,plain,
    ! [X0] :
      ( ~ sQ183_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f761,f107]) ).

fof(f2324,plain,
    ! [X0] :
      ( ~ sQ183_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f761,f105]) ).

fof(f2325,plain,
    ! [X0] :
      ( ~ sQ183_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f761,f103]) ).

fof(f2326,plain,
    ( ~ sQ53_spl
    | ~ sQ183_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2321,f80]) ).

fof(f2327,plain,
    ( ~ sQ53_spl
    | ~ sQ183_spl ),
    inference(contradiction_clause,[status(thm)],[f2326]) ).

fof(f2328,plain,
    ( ~ sQ182_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f758,f116]) ).

fof(f2329,plain,
    ! [X0] :
      ( ~ sQ182_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f758,f107]) ).

fof(f2330,plain,
    ! [X0] :
      ( ~ sQ182_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f758,f105]) ).

fof(f2331,plain,
    ! [X0] :
      ( ~ sQ182_spl
      | equalish(e_3,X0)
      | ~ product2(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f758,f103]) ).

fof(f2332,plain,
    ( ~ sQ182_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2328,f84]) ).

fof(f2333,plain,
    ~ sQ182_spl,
    inference(contradiction_clause,[status(thm)],[f2332]) ).

fof(f2334,plain,
    ( ~ sQ101_spl
    | ~ sQ181_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f755,f1763]) ).

fof(f2335,plain,
    ! [X0] :
      ( ~ sQ181_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f755,f107]) ).

fof(f2336,plain,
    ! [X0] :
      ( ~ sQ181_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f755,f105]) ).

fof(f2337,plain,
    ! [X0] :
      ( ~ sQ181_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f755,f103]) ).

fof(f2338,plain,
    ( ~ sQ101_spl
    | ~ sQ181_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2334,f88]) ).

fof(f2339,plain,
    ( ~ sQ101_spl
    | ~ sQ181_spl ),
    inference(contradiction_clause,[status(thm)],[f2338]) ).

fof(f2343,plain,
    ( ~ sQ100_spl
    | ~ sQ180_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f752,f1768]) ).

fof(f2344,plain,
    ! [X0] :
      ( ~ sQ180_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f752,f107]) ).

fof(f2345,plain,
    ! [X0] :
      ( ~ sQ180_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f752,f105]) ).

fof(f2346,plain,
    ! [X0] :
      ( ~ sQ180_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f752,f103]) ).

fof(f2347,plain,
    ( ~ sQ100_spl
    | ~ sQ180_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2343,f88]) ).

fof(f2348,plain,
    ( ~ sQ100_spl
    | ~ sQ180_spl ),
    inference(contradiction_clause,[status(thm)],[f2347]) ).

fof(f2349,plain,
    ( ~ sQ128_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1930,f87]) ).

fof(f2350,plain,
    ~ sQ128_spl,
    inference(contradiction_clause,[status(thm)],[f2349]) ).

fof(f2351,plain,
    ( ~ sQ75_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1589,f74]) ).

fof(f2352,plain,
    ~ sQ75_spl,
    inference(contradiction_clause,[status(thm)],[f2351]) ).

fof(f2357,plain,
    ( ~ sQ179_spl
    | equalish(e_5,e_2) ),
    inference(resolution,[status(thm)],[f748,f117]) ).

fof(f2358,plain,
    ! [X0] :
      ( ~ sQ179_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_5,e_5) ),
    inference(resolution,[status(thm)],[f748,f107]) ).

fof(f2359,plain,
    ! [X0] :
      ( ~ sQ179_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f748,f105]) ).

fof(f2360,plain,
    ! [X0] :
      ( ~ sQ179_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f748,f103]) ).

fof(f2363,plain,
    ( ~ sQ63_spl
    | ~ sQ178_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f745,f1470]) ).

fof(f2364,plain,
    ! [X0] :
      ( ~ sQ178_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f745,f107]) ).

fof(f2365,plain,
    ! [X0] :
      ( ~ sQ178_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f745,f105]) ).

fof(f2366,plain,
    ! [X0] :
      ( ~ sQ178_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f745,f103]) ).

fof(f2367,plain,
    ( ~ sQ63_spl
    | ~ sQ178_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2363,f84]) ).

fof(f2368,plain,
    ( ~ sQ63_spl
    | ~ sQ178_spl ),
    inference(contradiction_clause,[status(thm)],[f2367]) ).

fof(f2369,plain,
    ! [X0] :
      ( ~ sQ177_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f742,f107]) ).

fof(f2370,plain,
    ! [X0] :
      ( ~ sQ177_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f742,f105]) ).

fof(f2371,plain,
    ! [X0] :
      ( ~ sQ177_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f742,f103]) ).

fof(f2376,plain,
    ( ~ sQ176_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f739,f116]) ).

fof(f2377,plain,
    ! [X0] :
      ( ~ sQ176_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f739,f107]) ).

fof(f2378,plain,
    ! [X0] :
      ( ~ sQ176_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f739,f105]) ).

fof(f2379,plain,
    ! [X0] :
      ( ~ sQ176_spl
      | equalish(e_2,X0)
      | ~ product2(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f739,f103]) ).

fof(f2382,plain,
    ( ~ sQ95_spl
    | ~ sQ175_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f736,f1793]) ).

fof(f2383,plain,
    ( ~ sQ180_spl
    | ~ sQ175_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f736,f2344]) ).

fof(f2384,plain,
    ! [X0] :
      ( ~ sQ175_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f736,f107]) ).

fof(f2385,plain,
    ! [X0] :
      ( ~ sQ175_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f736,f105]) ).

fof(f2386,plain,
    ! [X0] :
      ( ~ sQ175_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f736,f103]) ).

fof(f2387,plain,
    ( ~ sQ95_spl
    | ~ sQ175_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2382,f88]) ).

fof(f2388,plain,
    ( ~ sQ95_spl
    | ~ sQ175_spl ),
    inference(contradiction_clause,[status(thm)],[f2387]) ).

fof(f2389,plain,
    ( ~ sQ176_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2376,f80]) ).

fof(f2390,plain,
    ~ sQ176_spl,
    inference(contradiction_clause,[status(thm)],[f2389]) ).

fof(f2391,plain,
    ( ~ sQ174_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f732,f117]) ).

fof(f2392,plain,
    ! [X0] :
      ( ~ sQ174_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_5,e_5) ),
    inference(resolution,[status(thm)],[f732,f107]) ).

fof(f2393,plain,
    ! [X0] :
      ( ~ sQ174_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f732,f105]) ).

fof(f2394,plain,
    ! [X0] :
      ( ~ sQ174_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f732,f103]) ).

fof(f2395,plain,
    ( ~ sQ174_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2391,f89]) ).

fof(f2396,plain,
    ~ sQ174_spl,
    inference(contradiction_clause,[status(thm)],[f2395]) ).

fof(f2397,plain,
    ( ~ sQ78_spl
    | ~ sQ173_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f729,f1566]) ).

fof(f2398,plain,
    ! [X0] :
      ( ~ sQ173_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f729,f107]) ).

fof(f2399,plain,
    ! [X0] :
      ( ~ sQ173_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f729,f105]) ).

fof(f2400,plain,
    ! [X0] :
      ( ~ sQ173_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f729,f103]) ).

fof(f2401,plain,
    ( ~ sQ78_spl
    | ~ sQ173_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2397,f84]) ).

fof(f2402,plain,
    ( ~ sQ78_spl
    | ~ sQ173_spl ),
    inference(contradiction_clause,[status(thm)],[f2401]) ).

fof(f2403,plain,
    ( ~ sQ93_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1810,f85]) ).

fof(f2404,plain,
    ~ sQ93_spl,
    inference(contradiction_clause,[status(thm)],[f2403]) ).

fof(f2405,plain,
    ( ~ sQ82_spl
    | ~ sQ172_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f726,f1540]) ).

fof(f2406,plain,
    ( ~ sQ177_spl
    | ~ sQ172_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f726,f2369]) ).

fof(f2407,plain,
    ! [X0] :
      ( ~ sQ172_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f726,f107]) ).

fof(f2408,plain,
    ! [X0] :
      ( ~ sQ172_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f726,f105]) ).

fof(f2409,plain,
    ! [X0] :
      ( ~ sQ172_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f726,f103]) ).

fof(f2410,plain,
    ( ~ sQ82_spl
    | ~ sQ172_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2405,f80]) ).

fof(f2411,plain,
    ( ~ sQ82_spl
    | ~ sQ172_spl ),
    inference(contradiction_clause,[status(thm)],[f2410]) ).

fof(f2412,plain,
    ( ~ sQ91_spl
    | ~ sQ171_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f723,f1832]) ).

fof(f2413,plain,
    ! [X0] :
      ( ~ sQ171_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f723,f107]) ).

fof(f2414,plain,
    ! [X0] :
      ( ~ sQ171_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f723,f105]) ).

fof(f2415,plain,
    ! [X0] :
      ( ~ sQ171_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f723,f103]) ).

fof(f2416,plain,
    ( ~ sQ91_spl
    | ~ sQ171_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2412,f88]) ).

fof(f2417,plain,
    ( ~ sQ91_spl
    | ~ sQ171_spl ),
    inference(contradiction_clause,[status(thm)],[f2416]) ).

fof(f2419,plain,
    ( ~ sQ170_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f720,f116]) ).

fof(f2420,plain,
    ! [X0] :
      ( ~ sQ170_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f720,f107]) ).

fof(f2421,plain,
    ! [X0] :
      ( ~ sQ170_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f720,f105]) ).

fof(f2422,plain,
    ! [X0] :
      ( ~ sQ170_spl
      | equalish(e_1,X0)
      | ~ product2(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f720,f103]) ).

fof(f2425,plain,
    ( ~ sQ169_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f716,f117]) ).

fof(f2426,plain,
    ! [X0] :
      ( ~ sQ169_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_5,e_5) ),
    inference(resolution,[status(thm)],[f716,f107]) ).

fof(f2427,plain,
    ! [X0] :
      ( ~ sQ169_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,X0,e_5) ),
    inference(resolution,[status(thm)],[f716,f105]) ).

fof(f2428,plain,
    ! [X0] :
      ( ~ sQ169_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f716,f103]) ).

fof(f2429,plain,
    ( ~ sQ169_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2425,f92]) ).

fof(f2430,plain,
    ~ sQ169_spl,
    inference(contradiction_clause,[status(thm)],[f2429]) ).

fof(f2431,plain,
    ( ~ sQ168_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f713,f116]) ).

fof(f2432,plain,
    ! [X0] :
      ( ~ sQ168_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f713,f107]) ).

fof(f2433,plain,
    ! [X0] :
      ( ~ sQ168_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f713,f105]) ).

fof(f2434,plain,
    ! [X0] :
      ( ~ sQ168_spl
      | equalish(e_4,X0)
      | ~ product2(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f713,f103]) ).

fof(f2435,plain,
    ( ~ sQ168_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2431,f88]) ).

fof(f2436,plain,
    ~ sQ168_spl,
    inference(contradiction_clause,[status(thm)],[f2435]) ).

fof(f2437,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | ~ sQ167_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f710,f1153]) ).

fof(f2438,plain,
    ( ~ sQ177_spl
    | ~ sQ167_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f710,f2369]) ).

fof(f2439,plain,
    ! [X0] :
      ( ~ sQ167_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f710,f107]) ).

fof(f2440,plain,
    ! [X0] :
      ( ~ sQ167_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f710,f105]) ).

fof(f2441,plain,
    ! [X0] :
      ( ~ sQ167_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f710,f103]) ).

fof(f2442,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | ~ sQ167_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2437,f76]) ).

fof(f2443,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | ~ sQ167_spl ),
    inference(contradiction_clause,[status(thm)],[f2442]) ).

fof(f2444,plain,
    ( ~ sQ126_spl
    | ~ sQ166_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f707,f1944]) ).

fof(f2445,plain,
    ( ~ sQ171_spl
    | ~ sQ166_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f707,f2413]) ).

fof(f2446,plain,
    ! [X0] :
      ( ~ sQ166_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f707,f107]) ).

fof(f2447,plain,
    ! [X0] :
      ( ~ sQ166_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f707,f105]) ).

fof(f2448,plain,
    ! [X0] :
      ( ~ sQ166_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f707,f103]) ).

fof(f2449,plain,
    ( ~ sQ126_spl
    | ~ sQ166_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2444,f84]) ).

fof(f2450,plain,
    ( ~ sQ126_spl
    | ~ sQ166_spl ),
    inference(contradiction_clause,[status(thm)],[f2449]) ).

fof(f2451,plain,
    ( ~ sQ130_spl
    | ~ sQ165_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f704,f1910]) ).

fof(f2452,plain,
    ( ~ sQ180_spl
    | ~ sQ165_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f704,f2344]) ).

fof(f2453,plain,
    ! [X0] :
      ( ~ sQ165_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f704,f107]) ).

fof(f2454,plain,
    ! [X0] :
      ( ~ sQ165_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f704,f105]) ).

fof(f2455,plain,
    ! [X0] :
      ( ~ sQ165_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f704,f103]) ).

fof(f2456,plain,
    ( ~ sQ130_spl
    | ~ sQ165_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2451,f80]) ).

fof(f2457,plain,
    ( ~ sQ130_spl
    | ~ sQ165_spl ),
    inference(contradiction_clause,[status(thm)],[f2456]) ).

fof(f2458,plain,
    ( ~ sQ180_spl
    | ~ sQ165_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2452,f83]) ).

fof(f2459,plain,
    ( ~ sQ180_spl
    | ~ sQ165_spl ),
    inference(contradiction_clause,[status(thm)],[f2458]) ).

fof(f2460,plain,
    ( ~ sQ170_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2419,f76]) ).

fof(f2461,plain,
    ~ sQ170_spl,
    inference(contradiction_clause,[status(thm)],[f2460]) ).

fof(f2471,plain,
    ( ~ sQ164_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f700,f114]) ).

fof(f2472,plain,
    ! [X0] :
      ( ~ sQ164_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_5,e_5) ),
    inference(resolution,[status(thm)],[f700,f99]) ).

fof(f2473,plain,
    ! [X0] :
      ( ~ sQ164_spl
      | equalish(e_5,X0)
      | ~ product1(e_4,X0,e_5) ),
    inference(resolution,[status(thm)],[f700,f97]) ).

fof(f2474,plain,
    ! [X0] :
      ( ~ sQ164_spl
      | equalish(e_5,X0)
      | ~ product1(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f700,f95]) ).

fof(f2475,plain,
    ! [X0] :
      ( ~ sQ164_spl
      | product2(X0,e_5,e_4)
      | ~ product1(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f700,f110]) ).

fof(f2476,plain,
    ( ~ sQ164_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2471,f92]) ).

fof(f2477,plain,
    ~ sQ164_spl,
    inference(contradiction_clause,[status(thm)],[f2476]) ).

fof(f2479,plain,
    ( ~ sQ163_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f697,f111]) ).

fof(f2480,plain,
    ! [X0] :
      ( ~ sQ163_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f697,f99]) ).

fof(f2481,plain,
    ! [X0] :
      ( ~ sQ163_spl
      | equalish(e_5,X0)
      | ~ product1(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f697,f97]) ).

fof(f2482,plain,
    ! [X0] :
      ( ~ sQ163_spl
      | equalish(e_4,X0)
      | ~ product1(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f697,f95]) ).

fof(f2483,plain,
    ! [X0] :
      ( ~ sQ163_spl
      | product2(X0,e_5,e_4)
      | ~ product1(e_4,e_4,X0) ),
    inference(resolution,[status(thm)],[f697,f110]) ).

fof(f2486,plain,
    ( ~ sQ157_spl
    | ~ sQ162_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f694,f2009]) ).

fof(f2487,plain,
    ( ~ sQ192_spl
    | ~ sQ162_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f694,f2251]) ).

fof(f2488,plain,
    ! [X0] :
      ( ~ sQ162_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f694,f99]) ).

fof(f2489,plain,
    ! [X0] :
      ( ~ sQ162_spl
      | equalish(e_5,X0)
      | ~ product1(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f694,f97]) ).

fof(f2490,plain,
    ! [X0] :
      ( ~ sQ162_spl
      | equalish(e_3,X0)
      | ~ product1(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f694,f95]) ).

fof(f2491,plain,
    ! [X0] :
      ( ~ sQ162_spl
      | product2(X0,e_5,e_4)
      | ~ product1(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f694,f110]) ).

fof(f2492,plain,
    ( ~ sQ157_spl
    | ~ sQ162_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2486,f76]) ).

fof(f2493,plain,
    ( ~ sQ157_spl
    | ~ sQ162_spl ),
    inference(contradiction_clause,[status(thm)],[f2492]) ).

fof(f2494,plain,
    ! [X0] :
      ( ~ sQ161_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f691,f99]) ).

fof(f2495,plain,
    ! [X0] :
      ( ~ sQ161_spl
      | equalish(e_5,X0)
      | ~ product1(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f691,f97]) ).

fof(f2496,plain,
    ! [X0] :
      ( ~ sQ161_spl
      | equalish(e_2,X0)
      | ~ product1(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f691,f95]) ).

fof(f2497,plain,
    ! [X0] :
      ( ~ sQ161_spl
      | product2(X0,e_5,e_4)
      | ~ product1(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f691,f110]) ).

fof(f2498,plain,
    ( ~ sQ195_spl
    | ~ sQ160_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f688,f2219]) ).

fof(f2499,plain,
    ! [X0] :
      ( ~ sQ160_spl
      | equalish(e_4,X0)
      | ~ product1(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f688,f99]) ).

fof(f2500,plain,
    ! [X0] :
      ( ~ sQ160_spl
      | equalish(e_5,X0)
      | ~ product1(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f688,f97]) ).

fof(f2501,plain,
    ! [X0] :
      ( ~ sQ160_spl
      | equalish(e_1,X0)
      | ~ product1(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f688,f95]) ).

fof(f2502,plain,
    ! [X0] :
      ( ~ sQ160_spl
      | product2(X0,e_5,e_4)
      | ~ product1(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f688,f110]) ).

fof(f2503,plain,
    ( ~ sQ195_spl
    | ~ sQ160_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2498,f83]) ).

fof(f2504,plain,
    ( ~ sQ195_spl
    | ~ sQ160_spl ),
    inference(contradiction_clause,[status(thm)],[f2503]) ).

fof(f2506,plain,
    ( ~ sQ224_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f897,f116]) ).

fof(f2507,plain,
    ! [X0] :
      ( ~ sQ224_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f897,f107]) ).

fof(f2508,plain,
    ! [X0] :
      ( ~ sQ224_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,X0,e_5) ),
    inference(resolution,[status(thm)],[f897,f105]) ).

fof(f2509,plain,
    ! [X0] :
      ( ~ sQ224_spl
      | equalish(e_5,X0)
      | ~ product2(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f897,f103]) ).

fof(f2512,plain,
    ( ~ sQ224_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2506,f89]) ).

fof(f2513,plain,
    ~ sQ224_spl,
    inference(contradiction_clause,[status(thm)],[f2512]) ).

fof(f2514,plain,
    ( ~ sQ48_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1383,f83]) ).

fof(f2515,plain,
    ~ sQ48_spl,
    inference(contradiction_clause,[status(thm)],[f2514]) ).

fof(f2516,plain,
    ( ~ sQ89_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1500,f76]) ).

fof(f2517,plain,
    ~ sQ89_spl,
    inference(contradiction_clause,[status(thm)],[f2516]) ).

fof(f2518,plain,
    ( ~ sQ179_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2357,f90]) ).

fof(f2519,plain,
    ~ sQ179_spl,
    inference(contradiction_clause,[status(thm)],[f2518]) ).

fof(f2520,plain,
    ! [X0] :
      ( ~ sQ223_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f894,f107]) ).

fof(f2521,plain,
    ! [X0] :
      ( ~ sQ223_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f894,f105]) ).

fof(f2522,plain,
    ! [X0] :
      ( ~ sQ223_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f894,f103]) ).

fof(f2523,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ222_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f891,f2143]) ).

fof(f2524,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | ~ sQ222_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f891,f1152]) ).

fof(f2525,plain,
    ! [X0] :
      ( ~ sQ222_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f891,f107]) ).

fof(f2526,plain,
    ! [X0] :
      ( ~ sQ222_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f891,f105]) ).

fof(f2527,plain,
    ! [X0] :
      ( ~ sQ222_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f891,f103]) ).

fof(f2528,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ222_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2523,f77]) ).

fof(f2529,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ222_spl ),
    inference(contradiction_clause,[status(thm)],[f2528]) ).

fof(f2530,plain,
    ! [X0] :
      ( ~ sQ221_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f888,f107]) ).

fof(f2531,plain,
    ! [X0] :
      ( ~ sQ221_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f888,f105]) ).

fof(f2532,plain,
    ! [X0] :
      ( ~ sQ221_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f888,f103]) ).

fof(f2533,plain,
    ( ~ sQ165_spl
    | ~ sQ125_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f1950,f704]) ).

fof(f2534,plain,
    ( ~ sQ165_spl
    | ~ sQ125_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2533,f84]) ).

fof(f2535,plain,
    ( ~ sQ165_spl
    | ~ sQ125_spl ),
    inference(contradiction_clause,[status(thm)],[f2534]) ).

fof(f2536,plain,
    ( ~ sQ120_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1983,f85]) ).

fof(f2537,plain,
    ~ sQ120_spl,
    inference(contradiction_clause,[status(thm)],[f2536]) ).

fof(f2538,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ132_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f1900,f2075]) ).

fof(f2539,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ132_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2538,f88]) ).

fof(f2540,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ132_spl ),
    inference(contradiction_clause,[status(thm)],[f2539]) ).

fof(f2541,plain,
    ( ~ sQ8_spl
    | ~ sQ145_spl
    | sQ82_spl ),
    inference(split_clause,[status(thm)],[f2116,f404,f629,f152]) ).

fof(f2542,plain,
    ( ~ sQ192_spl
    | ~ sQ187_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2293,f77]) ).

fof(f2543,plain,
    ( ~ sQ192_spl
    | ~ sQ187_spl ),
    inference(contradiction_clause,[status(thm)],[f2542]) ).

fof(f2544,plain,
    ( ~ sQ122_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1964,f87]) ).

fof(f2545,plain,
    ~ sQ122_spl,
    inference(contradiction_clause,[status(thm)],[f2544]) ).

fof(f2548,plain,
    ( ~ sQ140_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2181,f85]) ).

fof(f2549,plain,
    ~ sQ140_spl,
    inference(contradiction_clause,[status(thm)],[f2548]) ).

fof(f2556,plain,
    ( ~ sQ161_spl
    | ~ sQ156_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f2017,f691]) ).

fof(f2557,plain,
    ( ~ sQ161_spl
    | ~ sQ156_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2556,f76]) ).

fof(f2558,plain,
    ( ~ sQ161_spl
    | ~ sQ156_spl ),
    inference(contradiction_clause,[status(thm)],[f2557]) ).

fof(f2559,plain,
    ( ~ sQ158_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1998,f85]) ).

fof(f2560,plain,
    ~ sQ158_spl,
    inference(contradiction_clause,[status(thm)],[f2559]) ).

fof(f2564,plain,
    ( ~ sQ221_spl
    | ~ sQ56_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f1330,f888]) ).

fof(f2565,plain,
    ( ~ sQ221_spl
    | ~ sQ56_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2564,f84]) ).

fof(f2566,plain,
    ( ~ sQ221_spl
    | ~ sQ56_spl ),
    inference(contradiction_clause,[status(thm)],[f2565]) ).

fof(f2570,plain,
    ( ~ sQ223_spl
    | ~ sQ58_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f1319,f894]) ).

fof(f2571,plain,
    ( ~ sQ223_spl
    | ~ sQ58_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2570,f84]) ).

fof(f2572,plain,
    ( ~ sQ223_spl
    | ~ sQ58_spl ),
    inference(contradiction_clause,[status(thm)],[f2571]) ).

fof(f2573,plain,
    ( ~ sQ223_spl
    | ~ sQ73_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f1411,f894]) ).

fof(f2574,plain,
    ( ~ sQ223_spl
    | ~ sQ73_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2573,f80]) ).

fof(f2575,plain,
    ( ~ sQ223_spl
    | ~ sQ73_spl ),
    inference(contradiction_clause,[status(thm)],[f2574]) ).

fof(f2576,plain,
    ( ~ sQ220_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f885,f117]) ).

fof(f2577,plain,
    ! [X0] :
      ( ~ sQ220_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f885,f107]) ).

fof(f2578,plain,
    ! [X0] :
      ( ~ sQ220_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f885,f105]) ).

fof(f2579,plain,
    ! [X0] :
      ( ~ sQ220_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f885,f103]) ).

fof(f2580,plain,
    ( ~ sQ220_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2576,f76]) ).

fof(f2581,plain,
    ~ sQ220_spl,
    inference(contradiction_clause,[status(thm)],[f2580]) ).

fof(f2583,plain,
    ( ~ sQ134_spl
    | ~ sQ219_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f881,f1891]) ).

fof(f2584,plain,
    ( ~ sQ54_spl
    | ~ sQ219_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f881,f1343]) ).

fof(f2585,plain,
    ( ~ sQ219_spl
    | equalish(e_5,e_2) ),
    inference(resolution,[status(thm)],[f881,f116]) ).

fof(f2586,plain,
    ! [X0] :
      ( ~ sQ219_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f881,f107]) ).

fof(f2587,plain,
    ! [X0] :
      ( ~ sQ219_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,X0,e_5) ),
    inference(resolution,[status(thm)],[f881,f105]) ).

fof(f2588,plain,
    ! [X0] :
      ( ~ sQ219_spl
      | equalish(e_5,X0)
      | ~ product2(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f881,f103]) ).

fof(f2591,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ218_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f878,f2144]) ).

fof(f2592,plain,
    ( ~ sQ83_spl
    | ~ sQ218_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f878,f1534]) ).

fof(f2593,plain,
    ! [X0] :
      ( ~ sQ218_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f878,f107]) ).

fof(f2594,plain,
    ! [X0] :
      ( ~ sQ218_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f878,f105]) ).

fof(f2595,plain,
    ! [X0] :
      ( ~ sQ218_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f878,f103]) ).

fof(f2596,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ218_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2591,f83]) ).

fof(f2597,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ218_spl ),
    inference(contradiction_clause,[status(thm)],[f2596]) ).

fof(f2599,plain,
    ( ~ sQ216_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f872,f117]) ).

fof(f2600,plain,
    ! [X0] :
      ( ~ sQ216_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f872,f107]) ).

fof(f2601,plain,
    ! [X0] :
      ( ~ sQ216_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f872,f105]) ).

fof(f2602,plain,
    ! [X0] :
      ( ~ sQ216_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f872,f103]) ).

fof(f2605,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ215_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f869,f2144]) ).

fof(f2606,plain,
    ! [X0] :
      ( ~ sQ215_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f869,f107]) ).

fof(f2607,plain,
    ! [X0] :
      ( ~ sQ215_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f869,f105]) ).

fof(f2608,plain,
    ! [X0] :
      ( ~ sQ215_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f869,f103]) ).

fof(f2609,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ215_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2605,f81]) ).

fof(f2610,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ215_spl ),
    inference(contradiction_clause,[status(thm)],[f2609]) ).

fof(f2611,plain,
    ( ~ sQ214_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f865,f116]) ).

fof(f2612,plain,
    ! [X0] :
      ( ~ sQ214_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f865,f107]) ).

fof(f2613,plain,
    ! [X0] :
      ( ~ sQ214_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,X0,e_5) ),
    inference(resolution,[status(thm)],[f865,f105]) ).

fof(f2614,plain,
    ! [X0] :
      ( ~ sQ214_spl
      | equalish(e_5,X0)
      | ~ product2(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f865,f103]) ).

fof(f2615,plain,
    ( ~ sQ214_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2611,f91]) ).

fof(f2616,plain,
    ~ sQ214_spl,
    inference(contradiction_clause,[status(thm)],[f2615]) ).

fof(f2617,plain,
    ( ~ sQ63_spl
    | ~ sQ213_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f862,f1469]) ).

fof(f2618,plain,
    ( ~ sQ78_spl
    | ~ sQ213_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f862,f1565]) ).

fof(f2619,plain,
    ! [X0] :
      ( ~ sQ213_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f862,f107]) ).

fof(f2620,plain,
    ! [X0] :
      ( ~ sQ213_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f862,f105]) ).

fof(f2621,plain,
    ! [X0] :
      ( ~ sQ213_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f862,f103]) ).

fof(f2622,plain,
    ( ~ sQ63_spl
    | ~ sQ213_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2617,f80]) ).

fof(f2623,plain,
    ( ~ sQ63_spl
    | ~ sQ213_spl ),
    inference(contradiction_clause,[status(thm)],[f2622]) ).

fof(f2625,plain,
    ( ~ sQ212_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f859,f117]) ).

fof(f2626,plain,
    ! [X0] :
      ( ~ sQ212_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f859,f107]) ).

fof(f2627,plain,
    ! [X0] :
      ( ~ sQ212_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f859,f105]) ).

fof(f2628,plain,
    ! [X0] :
      ( ~ sQ212_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f859,f103]) ).

fof(f2631,plain,
    ( ~ sQ165_spl
    | ~ sQ175_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f2384,f704]) ).

fof(f2632,plain,
    ( ~ sQ165_spl
    | ~ sQ175_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2631,f79]) ).

fof(f2633,plain,
    ( ~ sQ165_spl
    | ~ sQ175_spl ),
    inference(contradiction_clause,[status(thm)],[f2632]) ).

fof(f2634,plain,
    ( ~ sQ177_spl
    | ~ sQ172_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2406,f77]) ).

fof(f2635,plain,
    ( ~ sQ177_spl
    | ~ sQ172_spl ),
    inference(contradiction_clause,[status(thm)],[f2634]) ).

fof(f2636,plain,
    ( ~ sQ58_spl
    | ~ sQ183_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2322,f76]) ).

fof(f2637,plain,
    ( ~ sQ58_spl
    | ~ sQ183_spl ),
    inference(contradiction_clause,[status(thm)],[f2636]) ).

fof(f2638,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | ~ sQ136_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f1882,f1147]) ).

fof(f2639,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | ~ sQ136_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2638,f78]) ).

fof(f2640,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | ~ sQ136_spl ),
    inference(contradiction_clause,[status(thm)],[f2639]) ).

fof(f2641,plain,
    ( ~ sQ126_spl
    | ~ sQ211_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f856,f1943]) ).

fof(f2642,plain,
    ( ~ sQ76_spl
    | ~ sQ211_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f856,f1581]) ).

fof(f2643,plain,
    ! [X0] :
      ( ~ sQ211_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f856,f107]) ).

fof(f2644,plain,
    ! [X0] :
      ( ~ sQ211_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f856,f105]) ).

fof(f2645,plain,
    ! [X0] :
      ( ~ sQ211_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f856,f103]) ).

fof(f2646,plain,
    ( ~ sQ126_spl
    | ~ sQ211_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2641,f88]) ).

fof(f2647,plain,
    ( ~ sQ126_spl
    | ~ sQ211_spl ),
    inference(contradiction_clause,[status(thm)],[f2646]) ).

fof(f2648,plain,
    ! [X0] :
      ( ~ sQ210_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f853,f107]) ).

fof(f2649,plain,
    ! [X0] :
      ( ~ sQ210_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f853,f105]) ).

fof(f2650,plain,
    ! [X0] :
      ( ~ sQ210_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f853,f103]) ).

fof(f2654,plain,
    ( ~ sQ209_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f849,f116]) ).

fof(f2655,plain,
    ! [X0] :
      ( ~ sQ209_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_4,e_5) ),
    inference(resolution,[status(thm)],[f849,f107]) ).

fof(f2656,plain,
    ! [X0] :
      ( ~ sQ209_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,X0,e_5) ),
    inference(resolution,[status(thm)],[f849,f105]) ).

fof(f2657,plain,
    ! [X0] :
      ( ~ sQ209_spl
      | equalish(e_5,X0)
      | ~ product2(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f849,f103]) ).

fof(f2658,plain,
    ( ~ sQ209_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2654,f92]) ).

fof(f2659,plain,
    ~ sQ209_spl,
    inference(contradiction_clause,[status(thm)],[f2658]) ).

fof(f2661,plain,
    ( ~ sQ208_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f846,f117]) ).

fof(f2662,plain,
    ! [X0] :
      ( ~ sQ208_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f846,f107]) ).

fof(f2663,plain,
    ! [X0] :
      ( ~ sQ208_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f846,f105]) ).

fof(f2664,plain,
    ! [X0] :
      ( ~ sQ208_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f846,f103]) ).

fof(f2667,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ207_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f843,f2143]) ).

fof(f2668,plain,
    ( ~ sQ92_spl
    | ~ sQ207_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f843,f1818]) ).

fof(f2669,plain,
    ! [X0] :
      ( ~ sQ207_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f843,f107]) ).

fof(f2670,plain,
    ! [X0] :
      ( ~ sQ207_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f843,f105]) ).

fof(f2671,plain,
    ! [X0] :
      ( ~ sQ207_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f843,f103]) ).

fof(f2672,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ207_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2667,f79]) ).

fof(f2673,plain,
    ( ~ sQ8_spl
    | ~ sQ149_spl
    | ~ sQ207_spl ),
    inference(contradiction_clause,[status(thm)],[f2672]) ).

fof(f2674,plain,
    ( ~ sQ101_spl
    | ~ sQ206_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f840,f1762]) ).

fof(f2675,plain,
    ! [X0] :
      ( ~ sQ206_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f840,f107]) ).

fof(f2676,plain,
    ! [X0] :
      ( ~ sQ206_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f840,f105]) ).

fof(f2677,plain,
    ! [X0] :
      ( ~ sQ206_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f840,f103]) ).

fof(f2678,plain,
    ( ~ sQ101_spl
    | ~ sQ206_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2674,f84]) ).

fof(f2679,plain,
    ( ~ sQ101_spl
    | ~ sQ206_spl ),
    inference(contradiction_clause,[status(thm)],[f2678]) ).

fof(f2680,plain,
    ( ~ sQ210_spl
    | ~ sQ205_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f837,f2649]) ).

fof(f2681,plain,
    ( ~ sQ95_spl
    | ~ sQ205_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f837,f1792]) ).

fof(f2682,plain,
    ! [X0] :
      ( ~ sQ205_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f837,f107]) ).

fof(f2683,plain,
    ! [X0] :
      ( ~ sQ205_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f837,f105]) ).

fof(f2684,plain,
    ! [X0] :
      ( ~ sQ205_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f837,f103]) ).

fof(f2685,plain,
    ( ~ sQ210_spl
    | ~ sQ205_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2680,f83]) ).

fof(f2686,plain,
    ( ~ sQ210_spl
    | ~ sQ205_spl ),
    inference(contradiction_clause,[status(thm)],[f2685]) ).

fof(f2687,plain,
    ( ~ sQ95_spl
    | ~ sQ205_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2681,f80]) ).

fof(f2688,plain,
    ( ~ sQ95_spl
    | ~ sQ205_spl ),
    inference(contradiction_clause,[status(thm)],[f2687]) ).

fof(f2690,plain,
    ( ~ sQ183_spl
    | ~ sQ203_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f830,f2323]) ).

fof(f2691,plain,
    ( ~ sQ203_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f830,f115]) ).

fof(f2692,plain,
    ! [X0] :
      ( ~ sQ203_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f830,f107]) ).

fof(f2693,plain,
    ! [X0] :
      ( ~ sQ203_spl
      | equalish(e_5,X0)
      | ~ product2(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f830,f105]) ).

fof(f2694,plain,
    ! [X0] :
      ( ~ sQ203_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f830,f103]) ).

fof(f2699,plain,
    ( ~ sQ202_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f827,f115]) ).

fof(f2700,plain,
    ! [X0] :
      ( ~ sQ202_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f827,f107]) ).

fof(f2701,plain,
    ! [X0] :
      ( ~ sQ202_spl
      | equalish(e_5,X0)
      | ~ product2(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f827,f105]) ).

fof(f2702,plain,
    ! [X0] :
      ( ~ sQ202_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f827,f103]) ).

fof(f2707,plain,
    ( ~ sQ201_spl
    | equalish(e_5,e_2) ),
    inference(resolution,[status(thm)],[f824,f115]) ).

fof(f2708,plain,
    ! [X0] :
      ( ~ sQ201_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f824,f107]) ).

fof(f2709,plain,
    ! [X0] :
      ( ~ sQ201_spl
      | equalish(e_5,X0)
      | ~ product2(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f824,f105]) ).

fof(f2710,plain,
    ! [X0] :
      ( ~ sQ201_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f824,f103]) ).

fof(f2714,plain,
    ( ~ sQ165_spl
    | ~ sQ200_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f821,f2453]) ).

fof(f2715,plain,
    ( ~ sQ200_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f821,f115]) ).

fof(f2716,plain,
    ! [X0] :
      ( ~ sQ200_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f821,f107]) ).

fof(f2717,plain,
    ! [X0] :
      ( ~ sQ200_spl
      | equalish(e_5,X0)
      | ~ product2(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f821,f105]) ).

fof(f2718,plain,
    ! [X0] :
      ( ~ sQ200_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f821,f103]) ).

fof(f2722,plain,
    ( ~ sQ249_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f982,f111]) ).

fof(f2723,plain,
    ! [X0] :
      ( ~ sQ249_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f982,f99]) ).

fof(f2724,plain,
    ! [X0] :
      ( ~ sQ249_spl
      | equalish(e_1,X0)
      | ~ product1(e_5,X0,e_5) ),
    inference(resolution,[status(thm)],[f982,f97]) ).

fof(f2725,plain,
    ! [X0] :
      ( ~ sQ249_spl
      | equalish(e_5,X0)
      | ~ product1(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f982,f95]) ).

fof(f2726,plain,
    ! [X0] :
      ( ~ sQ249_spl
      | product2(X0,e_1,e_5)
      | ~ product1(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f982,f110]) ).

fof(f2728,plain,
    ( ~ sQ249_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2722,f89]) ).

fof(f2729,plain,
    ~ sQ249_spl,
    inference(contradiction_clause,[status(thm)],[f2728]) ).

fof(f2730,plain,
    ( ~ sQ39_spl
    | ~ sQ248_spl
    | product2(e_4,e_2,e_1) ),
    inference(resolution,[status(thm)],[f979,f1241]) ).

fof(f2731,plain,
    ( ~ sQ28_spl
    | ~ sQ248_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f979,f1071]) ).

fof(f2732,plain,
    ! [X0] :
      ( ~ sQ248_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f979,f99]) ).

fof(f2733,plain,
    ! [X0] :
      ( ~ sQ248_spl
      | equalish(e_1,X0)
      | ~ product1(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f979,f97]) ).

fof(f2734,plain,
    ! [X0] :
      ( ~ sQ248_spl
      | equalish(e_4,X0)
      | ~ product1(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f979,f95]) ).

fof(f2735,plain,
    ! [X0] :
      ( ~ sQ248_spl
      | product2(X0,e_1,e_5)
      | ~ product1(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f979,f110]) ).

fof(f2736,plain,
    ( ~ sQ39_spl
    | ~ sQ248_spl
    | sQ130_spl ),
    inference(split_clause,[status(thm)],[f2730,f577,f978,f257]) ).

fof(f2737,plain,
    ( ~ sQ28_spl
    | ~ sQ248_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2731,f80]) ).

fof(f2738,plain,
    ( ~ sQ28_spl
    | ~ sQ248_spl ),
    inference(contradiction_clause,[status(thm)],[f2737]) ).

fof(f2739,plain,
    ( ~ sQ39_spl
    | ~ sQ247_spl
    | product2(e_3,e_2,e_1) ),
    inference(resolution,[status(thm)],[f976,f1241]) ).

fof(f2740,plain,
    ( ~ sQ157_spl
    | ~ sQ247_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f976,f2008]) ).

fof(f2741,plain,
    ! [X0] :
      ( ~ sQ247_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f976,f99]) ).

fof(f2742,plain,
    ! [X0] :
      ( ~ sQ247_spl
      | equalish(e_1,X0)
      | ~ product1(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f976,f97]) ).

fof(f2743,plain,
    ! [X0] :
      ( ~ sQ247_spl
      | equalish(e_3,X0)
      | ~ product1(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f976,f95]) ).

fof(f2744,plain,
    ! [X0] :
      ( ~ sQ247_spl
      | product2(X0,e_1,e_5)
      | ~ product1(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f976,f110]) ).

fof(f2745,plain,
    ( ~ sQ157_spl
    | ~ sQ247_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2740,f88]) ).

fof(f2746,plain,
    ( ~ sQ157_spl
    | ~ sQ247_spl ),
    inference(contradiction_clause,[status(thm)],[f2745]) ).

fof(f2747,plain,
    ( ~ sQ39_spl
    | ~ sQ246_spl
    | product2(e_2,e_2,e_1) ),
    inference(resolution,[status(thm)],[f973,f1241]) ).

fof(f2748,plain,
    ( ~ sQ11_spl
    | ~ sQ246_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f973,f1006]) ).

fof(f2749,plain,
    ! [X0] :
      ( ~ sQ246_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f973,f99]) ).

fof(f2750,plain,
    ! [X0] :
      ( ~ sQ246_spl
      | equalish(e_1,X0)
      | ~ product1(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f973,f97]) ).

fof(f2751,plain,
    ! [X0] :
      ( ~ sQ246_spl
      | equalish(e_2,X0)
      | ~ product1(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f973,f95]) ).

fof(f2752,plain,
    ! [X0] :
      ( ~ sQ246_spl
      | product2(X0,e_1,e_5)
      | ~ product1(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f973,f110]) ).

fof(f2753,plain,
    ( ~ sQ39_spl
    | ~ sQ246_spl
    | sQ65_spl ),
    inference(split_clause,[status(thm)],[f2747,f347,f972,f257]) ).

fof(f2754,plain,
    ( ~ sQ11_spl
    | ~ sQ246_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2748,f84]) ).

fof(f2755,plain,
    ( ~ sQ11_spl
    | ~ sQ246_spl ),
    inference(contradiction_clause,[status(thm)],[f2754]) ).

fof(f2756,plain,
    ( ~ sQ180_spl
    | ~ sQ175_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2383,f82]) ).

fof(f2757,plain,
    ( ~ sQ180_spl
    | ~ sQ175_spl ),
    inference(contradiction_clause,[status(thm)],[f2756]) ).

fof(f2758,plain,
    ( ~ sQ65_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1460,f77]) ).

fof(f2759,plain,
    ~ sQ65_spl,
    inference(contradiction_clause,[status(thm)],[f2758]) ).

fof(f2767,plain,
    ( ~ sQ245_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f970,f114]) ).

fof(f2768,plain,
    ! [X0] :
      ( ~ sQ245_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f970,f99]) ).

fof(f2769,plain,
    ! [X0] :
      ( ~ sQ245_spl
      | equalish(e_1,X0)
      | ~ product1(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f970,f97]) ).

fof(f2770,plain,
    ! [X0] :
      ( ~ sQ245_spl
      | equalish(e_1,X0)
      | ~ product1(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f970,f95]) ).

fof(f2771,plain,
    ! [X0] :
      ( ~ sQ245_spl
      | product2(X0,e_1,e_5)
      | ~ product1(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f970,f110]) ).

fof(f2773,plain,
    ( ~ sQ245_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2767,f76]) ).

fof(f2774,plain,
    ~ sQ245_spl,
    inference(contradiction_clause,[status(thm)],[f2773]) ).

fof(f2775,plain,
    ( ~ sQ142_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2160,f87]) ).

fof(f2776,plain,
    ~ sQ142_spl,
    inference(contradiction_clause,[status(thm)],[f2775]) ).

fof(f2777,plain,
    ( ~ sQ171_spl
    | ~ sQ166_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2445,f75]) ).

fof(f2778,plain,
    ( ~ sQ171_spl
    | ~ sQ166_spl ),
    inference(contradiction_clause,[status(thm)],[f2777]) ).

fof(f2779,plain,
    ( ~ sQ244_spl
    | equalish(e_5,e_2) ),
    inference(resolution,[status(thm)],[f966,f111]) ).

fof(f2780,plain,
    ! [X0] :
      ( ~ sQ244_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f966,f99]) ).

fof(f2781,plain,
    ! [X0] :
      ( ~ sQ244_spl
      | equalish(e_2,X0)
      | ~ product1(e_5,X0,e_5) ),
    inference(resolution,[status(thm)],[f966,f97]) ).

fof(f2782,plain,
    ! [X0] :
      ( ~ sQ244_spl
      | equalish(e_5,X0)
      | ~ product1(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f966,f95]) ).

fof(f2783,plain,
    ! [X0] :
      ( ~ sQ244_spl
      | product2(X0,e_2,e_5)
      | ~ product1(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f966,f110]) ).

fof(f2784,plain,
    ( ~ sQ244_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2779,f90]) ).

fof(f2785,plain,
    ~ sQ244_spl,
    inference(contradiction_clause,[status(thm)],[f2784]) ).

fof(f2786,plain,
    ! [X0] :
      ( ~ sQ243_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f963,f99]) ).

fof(f2787,plain,
    ! [X0] :
      ( ~ sQ243_spl
      | equalish(e_2,X0)
      | ~ product1(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f963,f97]) ).

fof(f2788,plain,
    ! [X0] :
      ( ~ sQ243_spl
      | equalish(e_4,X0)
      | ~ product1(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f963,f95]) ).

fof(f2789,plain,
    ! [X0] :
      ( ~ sQ243_spl
      | product2(X0,e_2,e_5)
      | ~ product1(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f963,f110]) ).

fof(f2790,plain,
    ! [X0] :
      ( ~ sQ242_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f960,f99]) ).

fof(f2791,plain,
    ! [X0] :
      ( ~ sQ242_spl
      | equalish(e_2,X0)
      | ~ product1(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f960,f97]) ).

fof(f2792,plain,
    ! [X0] :
      ( ~ sQ242_spl
      | equalish(e_3,X0)
      | ~ product1(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f960,f95]) ).

fof(f2793,plain,
    ! [X0] :
      ( ~ sQ242_spl
      | product2(X0,e_2,e_5)
      | ~ product1(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f960,f110]) ).

fof(f2794,plain,
    ( ~ sQ241_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f957,f114]) ).

fof(f2795,plain,
    ! [X0] :
      ( ~ sQ241_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f957,f99]) ).

fof(f2796,plain,
    ! [X0] :
      ( ~ sQ241_spl
      | equalish(e_2,X0)
      | ~ product1(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f957,f97]) ).

fof(f2797,plain,
    ! [X0] :
      ( ~ sQ241_spl
      | equalish(e_2,X0)
      | ~ product1(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f957,f95]) ).

fof(f2798,plain,
    ! [X0] :
      ( ~ sQ241_spl
      | product2(X0,e_2,e_5)
      | ~ product1(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f957,f110]) ).

fof(f2799,plain,
    ( ~ sQ241_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2794,f80]) ).

fof(f2800,plain,
    ~ sQ241_spl,
    inference(contradiction_clause,[status(thm)],[f2799]) ).

fof(f2801,plain,
    ! [X0] :
      ( ~ sQ240_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f954,f99]) ).

fof(f2802,plain,
    ! [X0] :
      ( ~ sQ240_spl
      | equalish(e_2,X0)
      | ~ product1(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f954,f97]) ).

fof(f2803,plain,
    ! [X0] :
      ( ~ sQ240_spl
      | equalish(e_1,X0)
      | ~ product1(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f954,f95]) ).

fof(f2804,plain,
    ! [X0] :
      ( ~ sQ240_spl
      | product2(X0,e_2,e_5)
      | ~ product1(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f954,f110]) ).

fof(f2805,plain,
    ( ~ sQ239_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f950,f111]) ).

fof(f2806,plain,
    ! [X0] :
      ( ~ sQ239_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f950,f99]) ).

fof(f2807,plain,
    ! [X0] :
      ( ~ sQ239_spl
      | equalish(e_3,X0)
      | ~ product1(e_5,X0,e_5) ),
    inference(resolution,[status(thm)],[f950,f97]) ).

fof(f2808,plain,
    ! [X0] :
      ( ~ sQ239_spl
      | equalish(e_5,X0)
      | ~ product1(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f950,f95]) ).

fof(f2809,plain,
    ! [X0] :
      ( ~ sQ239_spl
      | product2(X0,e_3,e_5)
      | ~ product1(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f950,f110]) ).

fof(f2810,plain,
    ( ~ sQ239_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2805,f91]) ).

fof(f2811,plain,
    ~ sQ239_spl,
    inference(contradiction_clause,[status(thm)],[f2810]) ).

fof(f2812,plain,
    ! [X0] :
      ( ~ sQ238_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f947,f99]) ).

fof(f2813,plain,
    ! [X0] :
      ( ~ sQ238_spl
      | equalish(e_3,X0)
      | ~ product1(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f947,f97]) ).

fof(f2814,plain,
    ! [X0] :
      ( ~ sQ238_spl
      | equalish(e_4,X0)
      | ~ product1(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f947,f95]) ).

fof(f2815,plain,
    ! [X0] :
      ( ~ sQ238_spl
      | product2(X0,e_3,e_5)
      | ~ product1(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f947,f110]) ).

fof(f2816,plain,
    ( ~ sQ237_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f944,f114]) ).

fof(f2817,plain,
    ! [X0] :
      ( ~ sQ237_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f944,f99]) ).

fof(f2818,plain,
    ! [X0] :
      ( ~ sQ237_spl
      | equalish(e_3,X0)
      | ~ product1(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f944,f97]) ).

fof(f2819,plain,
    ! [X0] :
      ( ~ sQ237_spl
      | equalish(e_3,X0)
      | ~ product1(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f944,f95]) ).

fof(f2820,plain,
    ! [X0] :
      ( ~ sQ237_spl
      | product2(X0,e_3,e_5)
      | ~ product1(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f944,f110]) ).

fof(f2821,plain,
    ( ~ sQ237_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2816,f84]) ).

fof(f2822,plain,
    ~ sQ237_spl,
    inference(contradiction_clause,[status(thm)],[f2821]) ).

fof(f2826,plain,
    ( ~ sQ238_spl
    | ~ sQ14_spl
    | product2(e_4,e_1,e_3) ),
    inference(resolution,[status(thm)],[f988,f947]) ).

fof(f2833,plain,
    ( ~ sQ243_spl
    | ~ sQ8_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f1029,f963]) ).

fof(f2834,plain,
    ( ~ sQ243_spl
    | ~ sQ8_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2833,f84]) ).

fof(f2835,plain,
    ( ~ sQ243_spl
    | ~ sQ8_spl ),
    inference(contradiction_clause,[status(thm)],[f2834]) ).

fof(f2836,plain,
    ( ~ sQ238_spl
    | ~ sQ18_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f1148,f947]) ).

fof(f2837,plain,
    ( ~ sQ238_spl
    | ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2836,f80]) ).

fof(f2838,plain,
    ( ~ sQ238_spl
    | ~ sQ18_spl ),
    inference(contradiction_clause,[status(thm)],[f2837]) ).

fof(f2839,plain,
    ( ~ sQ240_spl
    | ~ sQ150_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f2067,f954]) ).

fof(f2840,plain,
    ( ~ sQ240_spl
    | ~ sQ150_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2839,f88]) ).

fof(f2841,plain,
    ( ~ sQ240_spl
    | ~ sQ150_spl ),
    inference(contradiction_clause,[status(thm)],[f2840]) ).

fof(f2842,plain,
    ( ~ sQ242_spl
    | ~ sQ37_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f1250,f960]) ).

fof(f2843,plain,
    ( ~ sQ242_spl
    | ~ sQ37_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2842,f76]) ).

fof(f2844,plain,
    ( ~ sQ242_spl
    | ~ sQ37_spl ),
    inference(contradiction_clause,[status(thm)],[f2843]) ).

fof(f2845,plain,
    ( ~ sQ13_spl
    | ~ sQ149_spl
    | sQ222_spl ),
    inference(split_clause,[status(thm)],[f2074,f890,f641,f168]) ).

fof(f2846,plain,
    ( ~ sQ185_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2308,f76]) ).

fof(f2847,plain,
    ~ sQ185_spl,
    inference(contradiction_clause,[status(thm)],[f2846]) ).

fof(f2848,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | ~ sQ115_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f1711,f107]) ).

fof(f2849,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | ~ sQ115_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f1711,f105]) ).

fof(f2850,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | ~ sQ115_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f1711,f103]) ).

fof(f2851,plain,
    ( ~ sQ14_spl
    | ~ sQ236_spl
    | product2(e_2,e_1,e_3) ),
    inference(resolution,[status(thm)],[f941,f988]) ).

fof(f2852,plain,
    ( ~ sQ31_spl
    | ~ sQ236_spl
    | equalish(e_1,e_5) ),
    inference(resolution,[status(thm)],[f941,f1286]) ).

fof(f2853,plain,
    ! [X0] :
      ( ~ sQ236_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f941,f99]) ).

fof(f2854,plain,
    ! [X0] :
      ( ~ sQ236_spl
      | equalish(e_3,X0)
      | ~ product1(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f941,f97]) ).

fof(f2855,plain,
    ! [X0] :
      ( ~ sQ236_spl
      | equalish(e_2,X0)
      | ~ product1(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f941,f95]) ).

fof(f2856,plain,
    ! [X0] :
      ( ~ sQ236_spl
      | product2(X0,e_3,e_5)
      | ~ product1(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f941,f110]) ).

fof(f2857,plain,
    ( ~ sQ14_spl
    | ~ sQ236_spl
    | sQ72_spl ),
    inference(split_clause,[status(thm)],[f2851,f369,f940,f171]) ).

fof(f2858,plain,
    ( ~ sQ31_spl
    | ~ sQ236_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2852,f76]) ).

fof(f2859,plain,
    ( ~ sQ31_spl
    | ~ sQ236_spl ),
    inference(contradiction_clause,[status(thm)],[f2858]) ).

fof(f2860,plain,
    ( ~ sQ14_spl
    | ~ sQ235_spl
    | product2(e_1,e_1,e_3) ),
    inference(resolution,[status(thm)],[f938,f988]) ).

fof(f2861,plain,
    ! [X0] :
      ( ~ sQ235_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f938,f99]) ).

fof(f2862,plain,
    ! [X0] :
      ( ~ sQ235_spl
      | equalish(e_3,X0)
      | ~ product1(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f938,f97]) ).

fof(f2863,plain,
    ! [X0] :
      ( ~ sQ235_spl
      | equalish(e_1,X0)
      | ~ product1(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f938,f95]) ).

fof(f2864,plain,
    ! [X0] :
      ( ~ sQ235_spl
      | product2(X0,e_3,e_5)
      | ~ product1(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f938,f110]) ).

fof(f2865,plain,
    ( ~ sQ14_spl
    | ~ sQ235_spl
    | sQ87_spl ),
    inference(split_clause,[status(thm)],[f2860,f420,f937,f171]) ).

fof(f2866,plain,
    ( ~ sQ149_spl
    | ~ sQ234_spl
    | product2(e_5,e_3,e_4) ),
    inference(resolution,[status(thm)],[f934,f2080]) ).

fof(f2867,plain,
    ( ~ sQ234_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f934,f111]) ).

fof(f2868,plain,
    ! [X0] :
      ( ~ sQ234_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_4,e_5) ),
    inference(resolution,[status(thm)],[f934,f99]) ).

fof(f2869,plain,
    ! [X0] :
      ( ~ sQ234_spl
      | equalish(e_4,X0)
      | ~ product1(e_5,X0,e_5) ),
    inference(resolution,[status(thm)],[f934,f97]) ).

fof(f2870,plain,
    ! [X0] :
      ( ~ sQ234_spl
      | equalish(e_5,X0)
      | ~ product1(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f934,f95]) ).

fof(f2871,plain,
    ! [X0] :
      ( ~ sQ234_spl
      | product2(X0,e_4,e_5)
      | ~ product1(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f934,f110]) ).

fof(f2872,plain,
    ( ~ sQ234_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2867,f92]) ).

fof(f2873,plain,
    ~ sQ234_spl,
    inference(contradiction_clause,[status(thm)],[f2872]) ).

fof(f2875,plain,
    ( ~ sQ233_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f931,f114]) ).

fof(f2876,plain,
    ! [X0] :
      ( ~ sQ233_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f931,f99]) ).

fof(f2877,plain,
    ! [X0] :
      ( ~ sQ233_spl
      | equalish(e_4,X0)
      | ~ product1(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f931,f97]) ).

fof(f2878,plain,
    ! [X0] :
      ( ~ sQ233_spl
      | equalish(e_4,X0)
      | ~ product1(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f931,f95]) ).

fof(f2879,plain,
    ! [X0] :
      ( ~ sQ233_spl
      | product2(X0,e_4,e_5)
      | ~ product1(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f931,f110]) ).

fof(f2881,plain,
    ( ~ sQ233_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2875,f88]) ).

fof(f2882,plain,
    ~ sQ233_spl,
    inference(contradiction_clause,[status(thm)],[f2881]) ).

fof(f2883,plain,
    ( ~ sQ149_spl
    | ~ sQ232_spl
    | product2(e_3,e_3,e_4) ),
    inference(resolution,[status(thm)],[f928,f2080]) ).

fof(f2884,plain,
    ! [X0] :
      ( ~ sQ232_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f928,f99]) ).

fof(f2885,plain,
    ! [X0] :
      ( ~ sQ232_spl
      | equalish(e_4,X0)
      | ~ product1(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f928,f97]) ).

fof(f2886,plain,
    ! [X0] :
      ( ~ sQ232_spl
      | equalish(e_3,X0)
      | ~ product1(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f928,f95]) ).

fof(f2887,plain,
    ! [X0] :
      ( ~ sQ232_spl
      | product2(X0,e_4,e_5)
      | ~ product1(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f928,f110]) ).

fof(f2888,plain,
    ( ~ sQ149_spl
    | ~ sQ232_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f2883,f289,f927,f641]) ).

fof(f2889,plain,
    ( ~ sQ149_spl
    | ~ sQ231_spl
    | product2(e_2,e_3,e_4) ),
    inference(resolution,[status(thm)],[f925,f2080]) ).

fof(f2890,plain,
    ! [X0] :
      ( ~ sQ231_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f925,f99]) ).

fof(f2891,plain,
    ! [X0] :
      ( ~ sQ231_spl
      | equalish(e_4,X0)
      | ~ product1(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f925,f97]) ).

fof(f2892,plain,
    ! [X0] :
      ( ~ sQ231_spl
      | equalish(e_2,X0)
      | ~ product1(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f925,f95]) ).

fof(f2893,plain,
    ! [X0] :
      ( ~ sQ231_spl
      | product2(X0,e_4,e_5)
      | ~ product1(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f925,f110]) ).

fof(f2894,plain,
    ( ~ sQ149_spl
    | ~ sQ231_spl
    | sQ63_spl ),
    inference(split_clause,[status(thm)],[f2889,f340,f924,f641]) ).

fof(f2895,plain,
    ( ~ sQ149_spl
    | ~ sQ230_spl
    | product2(e_1,e_3,e_4) ),
    inference(resolution,[status(thm)],[f922,f2080]) ).

fof(f2896,plain,
    ! [X0] :
      ( ~ sQ230_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f922,f99]) ).

fof(f2897,plain,
    ! [X0] :
      ( ~ sQ230_spl
      | equalish(e_4,X0)
      | ~ product1(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f922,f97]) ).

fof(f2898,plain,
    ! [X0] :
      ( ~ sQ230_spl
      | equalish(e_1,X0)
      | ~ product1(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f922,f95]) ).

fof(f2899,plain,
    ! [X0] :
      ( ~ sQ230_spl
      | product2(X0,e_4,e_5)
      | ~ product1(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f922,f110]) ).

fof(f2900,plain,
    ( ~ sQ228_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f915,f112]) ).

fof(f2901,plain,
    ( ~ sQ228_spl
    | product2(e_4,e_5,e_5) ),
    inference(resolution,[status(thm)],[f915,f113]) ).

fof(f2902,plain,
    ! [X0] :
      ( ~ sQ228_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f915,f99]) ).

fof(f2903,plain,
    ! [X0] :
      ( ~ sQ228_spl
      | equalish(e_5,X0)
      | ~ product1(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f915,f97]) ).

fof(f2904,plain,
    ! [X0] :
      ( ~ sQ228_spl
      | equalish(e_4,X0)
      | ~ product1(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f915,f95]) ).

fof(f2905,plain,
    ! [X0] :
      ( ~ sQ228_spl
      | product2(X0,e_5,e_5)
      | ~ product1(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f915,f110]) ).

fof(f2906,plain,
    ( ~ sQ228_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2900,f92]) ).

fof(f2907,plain,
    ~ sQ228_spl,
    inference(contradiction_clause,[status(thm)],[f2906]) ).

fof(f2908,plain,
    ( ~ sQ227_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f912,f112]) ).

fof(f2909,plain,
    ( ~ sQ227_spl
    | product2(e_3,e_5,e_5) ),
    inference(resolution,[status(thm)],[f912,f113]) ).

fof(f2910,plain,
    ! [X0] :
      ( ~ sQ227_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f912,f99]) ).

fof(f2911,plain,
    ! [X0] :
      ( ~ sQ227_spl
      | equalish(e_5,X0)
      | ~ product1(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f912,f97]) ).

fof(f2912,plain,
    ! [X0] :
      ( ~ sQ227_spl
      | equalish(e_3,X0)
      | ~ product1(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f912,f95]) ).

fof(f2913,plain,
    ! [X0] :
      ( ~ sQ227_spl
      | product2(X0,e_5,e_5)
      | ~ product1(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f912,f110]) ).

fof(f2914,plain,
    ( ~ sQ227_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2908,f91]) ).

fof(f2915,plain,
    ~ sQ227_spl,
    inference(contradiction_clause,[status(thm)],[f2914]) ).

fof(f2916,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | ~ sQ15_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f1298,f107]) ).

fof(f2917,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | ~ sQ15_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f1298,f105]) ).

fof(f2918,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | ~ sQ15_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,e_3,X0) ),
    inference(resolution,[status(thm)],[f1298,f103]) ).

fof(f2919,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | ~ sQ230_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f2895,f107]) ).

fof(f2920,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | ~ sQ230_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f2895,f105]) ).

fof(f2921,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | ~ sQ230_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f2895,f103]) ).

fof(f2928,plain,
    ( ~ sQ149_spl
    | ~ sQ230_spl
    | ~ sQ83_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f1535,f2895]) ).

fof(f2929,plain,
    ( ~ sQ149_spl
    | ~ sQ230_spl
    | ~ sQ83_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2928,f78]) ).

fof(f2930,plain,
    ( ~ sQ149_spl
    | ~ sQ230_spl
    | ~ sQ83_spl ),
    inference(contradiction_clause,[status(thm)],[f2929]) ).

fof(f2931,plain,
    ( sQ78_spl
    | ~ sQ149_spl
    | ~ sQ230_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f393,f2895]) ).

fof(f2932,plain,
    ( sQ78_spl
    | ~ sQ149_spl
    | ~ sQ230_spl ),
    inference(contradiction_clause,[status(thm)],[f2931]) ).

fof(f2935,plain,
    ( ~ sQ153_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2035,f86]) ).

fof(f2936,plain,
    ~ sQ153_spl,
    inference(contradiction_clause,[status(thm)],[f2935]) ).

fof(f2937,plain,
    ( ~ sQ189_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2281,f89]) ).

fof(f2938,plain,
    ~ sQ189_spl,
    inference(contradiction_clause,[status(thm)],[f2937]) ).

fof(f2939,plain,
    ( ~ sQ219_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2585,f90]) ).

fof(f2940,plain,
    ~ sQ219_spl,
    inference(contradiction_clause,[status(thm)],[f2939]) ).

fof(f2941,plain,
    ( ~ sQ216_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2599,f80]) ).

fof(f2942,plain,
    ~ sQ216_spl,
    inference(contradiction_clause,[status(thm)],[f2941]) ).

fof(f2943,plain,
    ( ~ sQ212_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2625,f84]) ).

fof(f2944,plain,
    ~ sQ212_spl,
    inference(contradiction_clause,[status(thm)],[f2943]) ).

fof(f2945,plain,
    ( ~ sQ230_spl
    | ~ sQ115_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f1627,f922]) ).

fof(f2946,plain,
    ( ~ sQ230_spl
    | ~ sQ115_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2945,f84]) ).

fof(f2947,plain,
    ( ~ sQ230_spl
    | ~ sQ115_spl ),
    inference(contradiction_clause,[status(thm)],[f2946]) ).

fof(f2949,plain,
    ( ~ sQ226_spl
    | equalish(e_5,e_2) ),
    inference(resolution,[status(thm)],[f909,f112]) ).

fof(f2950,plain,
    ( ~ sQ226_spl
    | product2(e_2,e_5,e_5) ),
    inference(resolution,[status(thm)],[f909,f113]) ).

fof(f2951,plain,
    ! [X0] :
      ( ~ sQ226_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f909,f99]) ).

fof(f2952,plain,
    ! [X0] :
      ( ~ sQ226_spl
      | equalish(e_5,X0)
      | ~ product1(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f909,f97]) ).

fof(f2953,plain,
    ! [X0] :
      ( ~ sQ226_spl
      | equalish(e_2,X0)
      | ~ product1(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f909,f95]) ).

fof(f2954,plain,
    ! [X0] :
      ( ~ sQ226_spl
      | product2(X0,e_5,e_5)
      | ~ product1(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f909,f110]) ).

fof(f2957,plain,
    ( ~ sQ226_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2949,f90]) ).

fof(f2958,plain,
    ~ sQ226_spl,
    inference(contradiction_clause,[status(thm)],[f2957]) ).

fof(f2959,plain,
    ( ~ sQ192_spl
    | ~ sQ162_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2487,f79]) ).

fof(f2960,plain,
    ( ~ sQ192_spl
    | ~ sQ162_spl ),
    inference(contradiction_clause,[status(thm)],[f2959]) ).

fof(f2961,plain,
    ( ~ sQ225_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f906,f112]) ).

fof(f2962,plain,
    ( ~ sQ225_spl
    | product2(e_1,e_5,e_5) ),
    inference(resolution,[status(thm)],[f906,f113]) ).

fof(f2963,plain,
    ! [X0] :
      ( ~ sQ225_spl
      | equalish(e_5,X0)
      | ~ product1(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f906,f99]) ).

fof(f2964,plain,
    ! [X0] :
      ( ~ sQ225_spl
      | equalish(e_5,X0)
      | ~ product1(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f906,f97]) ).

fof(f2965,plain,
    ! [X0] :
      ( ~ sQ225_spl
      | equalish(e_1,X0)
      | ~ product1(e_5,e_5,X0) ),
    inference(resolution,[status(thm)],[f906,f95]) ).

fof(f2966,plain,
    ! [X0] :
      ( ~ sQ225_spl
      | product2(X0,e_5,e_5)
      | ~ product1(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f906,f110]) ).

fof(f2967,plain,
    ( ~ sQ225_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2961,f89]) ).

fof(f2968,plain,
    ~ sQ225_spl,
    inference(contradiction_clause,[status(thm)],[f2967]) ).

fof(f2969,plain,
    ( ~ sQ3_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f137,f112]) ).

fof(f2970,plain,
    ( ~ sQ3_spl
    | product2(e_4,e_3,e_3) ),
    inference(resolution,[status(thm)],[f137,f113]) ).

fof(f2971,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f137,f99]) ).

fof(f2972,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | equalish(e_3,X0)
      | ~ product1(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f137,f97]) ).

fof(f2973,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | equalish(e_4,X0)
      | ~ product1(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f137,f95]) ).

fof(f2974,plain,
    ! [X0] :
      ( ~ sQ3_spl
      | product2(X0,e_3,e_3)
      | ~ product1(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f137,f110]) ).

fof(f2975,plain,
    ( ~ sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2969,f83]) ).

fof(f2976,plain,
    ~ sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f2975]) ).

fof(f2977,plain,
    ( ~ sQ149_spl
    | ~ sQ230_spl
    | ~ sQ63_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f1469,f2895]) ).

fof(f2978,plain,
    ( ~ sQ149_spl
    | ~ sQ230_spl
    | ~ sQ63_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2977,f77]) ).

fof(f2979,plain,
    ( ~ sQ149_spl
    | ~ sQ230_spl
    | ~ sQ63_spl ),
    inference(contradiction_clause,[status(thm)],[f2978]) ).

fof(f2980,plain,
    ( ~ sQ78_spl
    | ~ sQ213_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2618,f76]) ).

fof(f2981,plain,
    ( ~ sQ78_spl
    | ~ sQ213_spl ),
    inference(contradiction_clause,[status(thm)],[f2980]) ).

fof(f2985,plain,
    ( ~ sQ230_spl
    | ~ sQ235_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f2862,f922]) ).

fof(f2986,plain,
    ( ~ sQ230_spl
    | ~ sQ235_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2985,f83]) ).

fof(f2987,plain,
    ( ~ sQ230_spl
    | ~ sQ235_spl ),
    inference(contradiction_clause,[status(thm)],[f2986]) ).

fof(f2988,plain,
    ( ~ sQ92_spl
    | ~ sQ207_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2668,f76]) ).

fof(f2989,plain,
    ( ~ sQ92_spl
    | ~ sQ207_spl ),
    inference(contradiction_clause,[status(thm)],[f2988]) ).

fof(f2990,plain,
    ( ~ sQ230_spl
    | ~ sQ110_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f1664,f922]) ).

fof(f2991,plain,
    ( ~ sQ230_spl
    | ~ sQ110_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2990,f80]) ).

fof(f2992,plain,
    ( ~ sQ230_spl
    | ~ sQ110_spl ),
    inference(contradiction_clause,[status(thm)],[f2991]) ).

fof(f2993,plain,
    ( ~ sQ218_spl
    | ~ sQ217_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f875,f2595]) ).

fof(f2994,plain,
    ( ~ sQ215_spl
    | ~ sQ217_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f875,f2608]) ).

fof(f2995,plain,
    ( ~ sQ222_spl
    | ~ sQ217_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f875,f2526]) ).

fof(f2996,plain,
    ( ~ sQ132_spl
    | ~ sQ217_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f875,f1900]) ).

fof(f2997,plain,
    ! [X0] :
      ( ~ sQ217_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f875,f107]) ).

fof(f2998,plain,
    ! [X0] :
      ( ~ sQ217_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f875,f105]) ).

fof(f2999,plain,
    ! [X0] :
      ( ~ sQ217_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f875,f103]) ).

fof(f3000,plain,
    ( ~ sQ218_spl
    | ~ sQ217_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2993,f87]) ).

fof(f3001,plain,
    ( ~ sQ218_spl
    | ~ sQ217_spl ),
    inference(contradiction_clause,[status(thm)],[f3000]) ).

fof(f3002,plain,
    ( ~ sQ215_spl
    | ~ sQ217_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2994,f74]) ).

fof(f3003,plain,
    ( ~ sQ215_spl
    | ~ sQ217_spl ),
    inference(contradiction_clause,[status(thm)],[f3002]) ).

fof(f3004,plain,
    ( ~ sQ198_spl
    | ~ sQ149_spl
    | product2(e_5,e_5,e_3) ),
    inference(resolution,[status(thm)],[f642,f2202]) ).

fof(f3007,plain,
    ( ~ sQ34_spl
    | ~ sQ149_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f642,f1268]) ).

fof(f3013,plain,
    ( ~ sQ198_spl
    | ~ sQ149_spl
    | sQ202_spl ),
    inference(split_clause,[status(thm)],[f3004,f826,f641,f808]) ).

fof(f3014,plain,
    ( ~ sQ34_spl
    | ~ sQ149_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3007,f75]) ).

fof(f3015,plain,
    ( ~ sQ34_spl
    | ~ sQ149_spl ),
    inference(contradiction_clause,[status(thm)],[f3014]) ).

fof(f3016,plain,
    ( ~ sQ222_spl
    | ~ sQ223_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f894,f2527]) ).

fof(f3018,plain,
    ( ~ sQ218_spl
    | ~ sQ223_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f894,f2594]) ).

fof(f3024,plain,
    ( ~ sQ222_spl
    | ~ sQ223_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3016,f83]) ).

fof(f3025,plain,
    ( ~ sQ222_spl
    | ~ sQ223_spl ),
    inference(contradiction_clause,[status(thm)],[f3024]) ).

fof(f3026,plain,
    ( ~ sQ218_spl
    | ~ sQ223_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3018,f77]) ).

fof(f3027,plain,
    ( ~ sQ218_spl
    | ~ sQ223_spl ),
    inference(contradiction_clause,[status(thm)],[f3026]) ).

fof(f3028,plain,
    ( ~ sQ132_spl
    | ~ sQ217_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2996,f88]) ).

fof(f3029,plain,
    ( ~ sQ132_spl
    | ~ sQ217_spl ),
    inference(contradiction_clause,[status(thm)],[f3028]) ).

fof(f3038,plain,
    ( ~ sQ178_spl
    | ~ sQ183_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f761,f2364]) ).

fof(f3043,plain,
    ( ~ sQ178_spl
    | ~ sQ183_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3038,f78]) ).

fof(f3044,plain,
    ( ~ sQ178_spl
    | ~ sQ183_spl ),
    inference(contradiction_clause,[status(thm)],[f3043]) ).

fof(f3047,plain,
    ( ~ sQ134_spl
    | ~ sQ54_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f309,f1891]) ).

fof(f3048,plain,
    ( ~ sQ84_spl
    | ~ sQ54_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f309,f1526]) ).

fof(f3050,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f309,f107]) ).

fof(f3051,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f309,f105]) ).

fof(f3052,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f309,f103]) ).

fof(f3053,plain,
    ( ~ sQ134_spl
    | ~ sQ54_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3047,f87]) ).

fof(f3054,plain,
    ( ~ sQ134_spl
    | ~ sQ54_spl ),
    inference(contradiction_clause,[status(thm)],[f3053]) ).

fof(f3056,plain,
    ( ~ sQ38_spl
    | ~ sQ156_spl
    | product2(e_2,e_2,e_1) ),
    inference(resolution,[status(thm)],[f665,f1247]) ).

fof(f3057,plain,
    ( ~ sQ33_spl
    | ~ sQ156_spl
    | product2(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[f665,f1276]) ).

fof(f3059,plain,
    ( ~ sQ246_spl
    | ~ sQ156_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f665,f2749]) ).

fof(f3065,plain,
    ( ~ sQ38_spl
    | ~ sQ156_spl
    | sQ65_spl ),
    inference(split_clause,[status(thm)],[f3056,f347,f664,f254]) ).

fof(f3066,plain,
    ( ~ sQ246_spl
    | ~ sQ156_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3059,f92]) ).

fof(f3067,plain,
    ( ~ sQ246_spl
    | ~ sQ156_spl ),
    inference(contradiction_clause,[status(thm)],[f3066]) ).

fof(f3068,plain,
    ( ~ sQ39_spl
    | ~ sQ15_spl
    | sQ211_spl ),
    inference(split_clause,[status(thm)],[f1298,f855,f178,f257]) ).

fof(f3069,plain,
    ( ~ sQ84_spl
    | ~ sQ54_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3048,f74]) ).

fof(f3070,plain,
    ( ~ sQ84_spl
    | ~ sQ54_spl ),
    inference(contradiction_clause,[status(thm)],[f3069]) ).

fof(f3071,plain,
    ( ~ sQ202_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2699,f91]) ).

fof(f3072,plain,
    ~ sQ202_spl,
    inference(contradiction_clause,[status(thm)],[f3071]) ).

fof(f3073,plain,
    ( ~ sQ208_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2661,f88]) ).

fof(f3074,plain,
    ~ sQ208_spl,
    inference(contradiction_clause,[status(thm)],[f3073]) ).

fof(f3075,plain,
    ( ~ sQ203_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2691,f92]) ).

fof(f3076,plain,
    ~ sQ203_spl,
    inference(contradiction_clause,[status(thm)],[f3075]) ).

fof(f3077,plain,
    ( ~ sQ200_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2715,f89]) ).

fof(f3078,plain,
    ~ sQ200_spl,
    inference(contradiction_clause,[status(thm)],[f3077]) ).

fof(f3079,plain,
    ( ~ sQ121_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1975,f86]) ).

fof(f3080,plain,
    ~ sQ121_spl,
    inference(contradiction_clause,[status(thm)],[f3079]) ).

fof(f3083,plain,
    ( ~ sQ149_spl
    | ~ sQ13_spl
    | product2(e_5,e_1,e_3) ),
    inference(resolution,[status(thm)],[f996,f642]) ).

fof(f3084,plain,
    ( ~ sQ64_spl
    | ~ sQ33_spl
    | ~ sQ156_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f3057,f1468]) ).

fof(f3088,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | ~ sQ156_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f3057,f107]) ).

fof(f3089,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | ~ sQ156_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f3057,f105]) ).

fof(f3090,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | ~ sQ156_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f3057,f103]) ).

fof(f3091,plain,
    ( ~ sQ64_spl
    | ~ sQ33_spl
    | ~ sQ156_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3084,f89]) ).

fof(f3092,plain,
    ( ~ sQ64_spl
    | ~ sQ33_spl
    | ~ sQ156_spl ),
    inference(contradiction_clause,[status(thm)],[f3091]) ).

fof(f3093,plain,
    ( ~ sQ72_spl
    | ~ sQ149_spl
    | ~ sQ13_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f3083,f1417]) ).

fof(f3094,plain,
    ( ~ sQ137_spl
    | ~ sQ149_spl
    | ~ sQ13_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f3083,f1874]) ).

fof(f3095,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | ~ sQ13_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f3083,f107]) ).

fof(f3096,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | ~ sQ13_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,X0,e_3) ),
    inference(resolution,[status(thm)],[f3083,f105]) ).

fof(f3097,plain,
    ! [X0] :
      ( ~ sQ149_spl
      | ~ sQ13_spl
      | equalish(e_3,X0)
      | ~ product2(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f3083,f103]) ).

fof(f3098,plain,
    ( ~ sQ72_spl
    | ~ sQ149_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3093,f80]) ).

fof(f3099,plain,
    ( ~ sQ72_spl
    | ~ sQ149_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f3098]) ).

fof(f3100,plain,
    ( ~ sQ137_spl
    | ~ sQ149_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3094,f88]) ).

fof(f3101,plain,
    ( ~ sQ137_spl
    | ~ sQ149_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f3100]) ).

fof(f3102,plain,
    ( ~ sQ177_spl
    | ~ sQ167_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2438,f79]) ).

fof(f3103,plain,
    ( ~ sQ177_spl
    | ~ sQ167_spl ),
    inference(contradiction_clause,[status(thm)],[f3102]) ).

fof(f3104,plain,
    ( ~ sQ46_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1390,f82]) ).

fof(f3105,plain,
    ~ sQ46_spl,
    inference(contradiction_clause,[status(thm)],[f3104]) ).

fof(f3106,plain,
    ( ~ sQ86_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1520,f73]) ).

fof(f3107,plain,
    ~ sQ86_spl,
    inference(contradiction_clause,[status(thm)],[f3106]) ).

fof(f3108,plain,
    ( ~ sQ76_spl
    | ~ sQ211_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2642,f76]) ).

fof(f3109,plain,
    ( ~ sQ76_spl
    | ~ sQ211_spl ),
    inference(contradiction_clause,[status(thm)],[f3108]) ).

fof(f3110,plain,
    ( ~ sQ201_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2707,f90]) ).

fof(f3111,plain,
    ~ sQ201_spl,
    inference(contradiction_clause,[status(thm)],[f3110]) ).

fof(f3116,plain,
    ( ~ sQ156_spl
    | ~ sQ114_spl
    | product2(e_5,e_1,e_4) ),
    inference(resolution,[status(thm)],[f522,f2019]) ).

fof(f3117,plain,
    ( ~ sQ29_spl
    | ~ sQ114_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f522,f1067]) ).

fof(f3124,plain,
    ( ~ sQ156_spl
    | ~ sQ114_spl
    | sQ223_spl ),
    inference(split_clause,[status(thm)],[f3116,f893,f521,f664]) ).

fof(f3125,plain,
    ( ~ sQ29_spl
    | ~ sQ114_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3117,f75]) ).

fof(f3126,plain,
    ( ~ sQ29_spl
    | ~ sQ114_spl ),
    inference(contradiction_clause,[status(thm)],[f3125]) ).

fof(f3127,plain,
    ( ~ sQ196_spl
    | ~ sQ1_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f131,f2214]) ).

fof(f3128,plain,
    ( ~ sQ116_spl
    | ~ sQ1_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f131,f1620]) ).

fof(f3129,plain,
    ( ~ sQ236_spl
    | ~ sQ1_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f131,f2853]) ).

fof(f3130,plain,
    ( ~ sQ1_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f131,f112]) ).

fof(f3131,plain,
    ( ~ sQ1_spl
    | product2(e_2,e_3,e_3) ),
    inference(resolution,[status(thm)],[f131,f113]) ).

fof(f3132,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f131,f99]) ).

fof(f3133,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | equalish(e_3,X0)
      | ~ product1(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f131,f97]) ).

fof(f3134,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | equalish(e_2,X0)
      | ~ product1(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f131,f95]) ).

fof(f3135,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | product2(X0,e_3,e_3)
      | ~ product1(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f131,f110]) ).

fof(f3136,plain,
    ( ~ sQ196_spl
    | ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3127,f91]) ).

fof(f3137,plain,
    ( ~ sQ196_spl
    | ~ sQ1_spl ),
    inference(contradiction_clause,[status(thm)],[f3136]) ).

fof(f3138,plain,
    ( ~ sQ15_spl
    | ~ sQ0_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f128,f1184]) ).

fof(f3139,plain,
    ( ~ sQ0_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f128,f112]) ).

fof(f3140,plain,
    ( ~ sQ0_spl
    | product2(e_1,e_3,e_3) ),
    inference(resolution,[status(thm)],[f128,f113]) ).

fof(f3141,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | equalish(e_3,X0)
      | ~ product1(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f128,f99]) ).

fof(f3142,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | equalish(e_3,X0)
      | ~ product1(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f128,f97]) ).

fof(f3143,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | equalish(e_1,X0)
      | ~ product1(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f128,f95]) ).

fof(f3144,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | product2(X0,e_3,e_3)
      | ~ product1(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f128,f110]) ).

fof(f3145,plain,
    ( ~ sQ15_spl
    | ~ sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3138,f78]) ).

fof(f3146,plain,
    ( ~ sQ15_spl
    | ~ sQ0_spl ),
    inference(contradiction_clause,[status(thm)],[f3145]) ).

fof(f3160,plain,
    ( ~ sQ33_spl
    | ~ sQ156_spl
    | ~ sQ175_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f2385,f3057]) ).

fof(f3161,plain,
    ( ~ sQ33_spl
    | ~ sQ156_spl
    | ~ sQ175_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3160,f91]) ).

fof(f3162,plain,
    ( ~ sQ33_spl
    | ~ sQ156_spl
    | ~ sQ175_spl ),
    inference(contradiction_clause,[status(thm)],[f3161]) ).

fof(f3163,plain,
    ( ~ sQ39_spl
    | ~ sQ247_spl
    | sQ50_spl ),
    inference(split_clause,[status(thm)],[f2739,f296,f975,f257]) ).

fof(f3164,plain,
    ( ~ sQ114_spl
    | ~ sQ19_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f1142,f522]) ).

fof(f3165,plain,
    ( ~ sQ114_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3164,f83]) ).

fof(f3166,plain,
    ( ~ sQ114_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f3165]) ).

fof(f3167,plain,
    ( ~ sQ145_spl
    | ~ sQ106_spl
    | product2(e_2,e_3,e_4) ),
    inference(resolution,[status(thm)],[f497,f2121]) ).

fof(f3169,plain,
    ( ~ sQ186_spl
    | ~ sQ106_spl
    | equalish(e_5,e_4) ),
    inference(resolution,[status(thm)],[f497,f2302]) ).

fof(f3171,plain,
    ( ~ sQ116_spl
    | ~ sQ106_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f497,f1619]) ).

fof(f3177,plain,
    ( ~ sQ145_spl
    | ~ sQ106_spl
    | sQ63_spl ),
    inference(split_clause,[status(thm)],[f3167,f340,f496,f629]) ).

fof(f3178,plain,
    ( ~ sQ186_spl
    | ~ sQ106_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3169,f92]) ).

fof(f3179,plain,
    ( ~ sQ186_spl
    | ~ sQ106_spl ),
    inference(contradiction_clause,[status(thm)],[f3178]) ).

fof(f3180,plain,
    ( ~ sQ116_spl
    | ~ sQ106_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3171,f81]) ).

fof(f3181,plain,
    ( ~ sQ116_spl
    | ~ sQ106_spl ),
    inference(contradiction_clause,[status(thm)],[f3180]) ).

fof(f3182,plain,
    ( ~ sQ33_spl
    | ~ sQ5_spl
    | product2(e_4,e_2,e_3) ),
    inference(resolution,[status(thm)],[f1055,f239]) ).

fof(f3183,plain,
    ( ~ sQ137_spl
    | ~ sQ33_spl
    | ~ sQ5_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f3182,f1875]) ).

fof(f3184,plain,
    ( ~ sQ82_spl
    | ~ sQ33_spl
    | ~ sQ5_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f3182,f1539]) ).

fof(f3188,plain,
    ( ~ sQ137_spl
    | ~ sQ33_spl
    | ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3183,f73]) ).

fof(f3189,plain,
    ( ~ sQ137_spl
    | ~ sQ33_spl
    | ~ sQ5_spl ),
    inference(contradiction_clause,[status(thm)],[f3188]) ).

fof(f3190,plain,
    ( ~ sQ33_spl
    | ~ sQ159_spl
    | sQ210_spl ),
    inference(split_clause,[status(thm)],[f1991,f852,f673,f238]) ).

fof(f3200,plain,
    ( ~ sQ72_spl
    | ~ sQ238_spl
    | ~ sQ14_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f2826,f1417]) ).

fof(f3204,plain,
    ( ~ sQ72_spl
    | ~ sQ238_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3200,f79]) ).

fof(f3205,plain,
    ( ~ sQ72_spl
    | ~ sQ238_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f3204]) ).

fof(f3206,plain,
    ( sQ137_spl
    | ~ sQ238_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f601,f2826]) ).

fof(f3207,plain,
    ( sQ137_spl
    | ~ sQ238_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f3206]) ).

fof(f3217,plain,
    ( ~ sQ247_spl
    | ~ sQ196_spl
    | product2(e_2,e_1,e_5) ),
    inference(resolution,[status(thm)],[f803,f2744]) ).

fof(f3219,plain,
    ( ~ sQ116_spl
    | ~ sQ196_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f803,f1620]) ).

fof(f3226,plain,
    ( ~ sQ116_spl
    | ~ sQ196_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3219,f88]) ).

fof(f3227,plain,
    ( ~ sQ116_spl
    | ~ sQ196_spl ),
    inference(contradiction_clause,[status(thm)],[f3226]) ).

fof(f3228,plain,
    ! [X0] :
      ( ~ sQ247_spl
      | ~ sQ196_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f3217,f107]) ).

fof(f3229,plain,
    ! [X0] :
      ( ~ sQ247_spl
      | ~ sQ196_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,X0,e_5) ),
    inference(resolution,[status(thm)],[f3217,f105]) ).

fof(f3230,plain,
    ! [X0] :
      ( ~ sQ247_spl
      | ~ sQ196_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f3217,f103]) ).

fof(f3240,plain,
    ( ~ sQ187_spl
    | ~ sQ14_spl
    | product2(e_5,e_5,e_1) ),
    inference(resolution,[status(thm)],[f172,f2297]) ).

fof(f3242,plain,
    ( ~ sQ119_spl
    | ~ sQ14_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f172,f1596]) ).

fof(f3244,plain,
    ( ~ sQ159_spl
    | ~ sQ14_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f172,f1992]) ).

fof(f3250,plain,
    ( ~ sQ187_spl
    | ~ sQ14_spl
    | sQ200_spl ),
    inference(split_clause,[status(thm)],[f3240,f820,f171,f773]) ).

fof(f3251,plain,
    ( ~ sQ119_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3242,f85]) ).

fof(f3252,plain,
    ( ~ sQ119_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f3251]) ).

fof(f3253,plain,
    ( ~ sQ159_spl
    | ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3244,f87]) ).

fof(f3254,plain,
    ( ~ sQ159_spl
    | ~ sQ14_spl ),
    inference(contradiction_clause,[status(thm)],[f3253]) ).

fof(f3255,plain,
    ( ~ sQ14_spl
    | ~ sQ107_spl
    | product2(e_5,e_4,e_1) ),
    inference(resolution,[status(thm)],[f1683,f172]) ).

fof(f3256,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | ~ sQ107_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f3255,f107]) ).

fof(f3257,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | ~ sQ107_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f3255,f105]) ).

fof(f3258,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | ~ sQ107_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f3255,f103]) ).

fof(f3263,plain,
    ( ~ sQ39_spl
    | ~ sQ247_spl
    | product2(e_3,e_2,e_1) ),
    inference(resolution,[status(thm)],[f976,f1241]) ).

fof(f3265,plain,
    ( ~ sQ27_spl
    | ~ sQ247_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f976,f1077]) ).

fof(f3271,plain,
    ( ~ sQ27_spl
    | ~ sQ247_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3265,f80]) ).

fof(f3272,plain,
    ( ~ sQ27_spl
    | ~ sQ247_spl ),
    inference(contradiction_clause,[status(thm)],[f3271]) ).

fof(f3273,plain,
    ( sQ205_spl
    | ~ sQ14_spl
    | ~ sQ107_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f838,f3255]) ).

fof(f3274,plain,
    ( sQ205_spl
    | ~ sQ14_spl
    | ~ sQ107_spl ),
    inference(contradiction_clause,[status(thm)],[f3273]) ).

fof(f3278,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | ~ sQ247_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f3263,f107]) ).

fof(f3279,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | ~ sQ247_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f3263,f105]) ).

fof(f3280,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | ~ sQ247_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f3263,f103]) ).

fof(f3291,plain,
    ( ~ sQ192_spl
    | ~ sQ8_spl
    | product2(e_4,e_5,e_2) ),
    inference(resolution,[status(thm)],[f153,f2254]) ).

fof(f3299,plain,
    ( ~ sQ192_spl
    | ~ sQ8_spl
    | sQ166_spl ),
    inference(split_clause,[status(thm)],[f3291,f706,f152,f789]) ).

fof(f3315,plain,
    ( ~ sQ240_spl
    | ~ sQ114_spl
    | product2(e_1,e_4,e_2) ),
    inference(resolution,[status(thm)],[f1636,f954]) ).

fof(f3316,plain,
    ! [X0] :
      ( ~ sQ240_spl
      | ~ sQ114_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f3315,f107]) ).

fof(f3317,plain,
    ! [X0] :
      ( ~ sQ240_spl
      | ~ sQ114_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f3315,f105]) ).

fof(f3318,plain,
    ! [X0] :
      ( ~ sQ240_spl
      | ~ sQ114_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f3315,f103]) ).

fof(f3326,plain,
    ( ~ sQ240_spl
    | ~ sQ114_spl
    | ~ sQ206_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f2675,f3315]) ).

fof(f3327,plain,
    ( ~ sQ240_spl
    | ~ sQ114_spl
    | ~ sQ206_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3326,f89]) ).

fof(f3328,plain,
    ( ~ sQ240_spl
    | ~ sQ114_spl
    | ~ sQ206_spl ),
    inference(contradiction_clause,[status(thm)],[f3327]) ).

fof(f3329,plain,
    ( ~ sQ39_spl
    | ~ sQ110_spl
    | product2(e_5,e_4,e_2) ),
    inference(resolution,[status(thm)],[f1667,f258]) ).

fof(f3331,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | ~ sQ110_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f3329,f107]) ).

fof(f3332,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | ~ sQ110_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,X0,e_2) ),
    inference(resolution,[status(thm)],[f3329,f105]) ).

fof(f3333,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | ~ sQ110_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,e_4,X0) ),
    inference(resolution,[status(thm)],[f3329,f103]) ).

fof(f3336,plain,
    ( ~ sQ240_spl
    | ~ sQ235_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f2862,f954]) ).

fof(f3337,plain,
    ( ~ sQ240_spl
    | ~ sQ235_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3336,f82]) ).

fof(f3338,plain,
    ( ~ sQ240_spl
    | ~ sQ235_spl ),
    inference(contradiction_clause,[status(thm)],[f3337]) ).

fof(f3339,plain,
    ( ~ sQ240_spl
    | ~ sQ114_spl
    | sQ91_spl ),
    inference(split_clause,[status(thm)],[f3315,f448,f521,f953]) ).

fof(f3340,plain,
    ( ~ sQ39_spl
    | ~ sQ15_spl
    | product2(e_5,e_3,e_2) ),
    inference(resolution,[status(thm)],[f1187,f258]) ).

fof(f3341,plain,
    ( ~ sQ39_spl
    | ~ sQ190_spl
    | product2(e_5,e_5,e_2) ),
    inference(resolution,[status(thm)],[f2275,f258]) ).

fof(f3342,plain,
    ( ~ sQ39_spl
    | ~ sQ190_spl
    | sQ201_spl ),
    inference(split_clause,[status(thm)],[f3341,f823,f783,f257]) ).

fof(f3343,plain,
    ( ~ sQ240_spl
    | ~ sQ29_spl
    | product2(e_1,e_1,e_2) ),
    inference(resolution,[status(thm)],[f1069,f954]) ).

fof(f3344,plain,
    ( ~ sQ240_spl
    | ~ sQ29_spl
    | sQ86_spl ),
    inference(split_clause,[status(thm)],[f3343,f417,f222,f953]) ).

fof(f3345,plain,
    ! [X0] :
      ( ~ sQ238_spl
      | ~ sQ14_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f2826,f107]) ).

fof(f3346,plain,
    ! [X0] :
      ( ~ sQ238_spl
      | ~ sQ14_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f2826,f105]) ).

fof(f3347,plain,
    ! [X0] :
      ( ~ sQ238_spl
      | ~ sQ14_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f2826,f103]) ).

fof(f3357,plain,
    ( ~ sQ8_spl
    | ~ sQ27_spl
    | product2(e_4,e_1,e_2) ),
    inference(resolution,[status(thm)],[f1080,f153]) ).

fof(f3358,plain,
    ( ~ sQ8_spl
    | ~ sQ27_spl
    | sQ136_spl ),
    inference(split_clause,[status(thm)],[f3357,f596,f216,f152]) ).

fof(f3359,plain,
    ( ~ sQ240_spl
    | ~ sQ19_spl
    | product2(e_1,e_3,e_2) ),
    inference(resolution,[status(thm)],[f1144,f954]) ).

fof(f3360,plain,
    ( ~ sQ240_spl
    | ~ sQ19_spl
    | sQ76_spl ),
    inference(split_clause,[status(thm)],[f3359,f385,f190,f953]) ).

fof(f3361,plain,
    ( ~ sQ97_spl
    | ~ sQ207_spl
    | equalish(e_5,e_2) ),
    inference(resolution,[status(thm)],[f2669,f468]) ).

fof(f3362,plain,
    ( ~ sQ97_spl
    | ~ sQ207_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3361,f90]) ).

fof(f3363,plain,
    ( ~ sQ97_spl
    | ~ sQ207_spl ),
    inference(contradiction_clause,[status(thm)],[f3362]) ).

fof(f3364,plain,
    ( ~ sQ154_spl
    | ~ sQ231_spl
    | product2(e_2,e_2,e_4) ),
    inference(resolution,[status(thm)],[f925,f2033]) ).

fof(f3367,plain,
    ( ~ sQ116_spl
    | ~ sQ231_spl
    | equalish(e_3,e_5) ),
    inference(resolution,[status(thm)],[f925,f1619]) ).

fof(f3373,plain,
    ( ~ sQ154_spl
    | ~ sQ231_spl
    | sQ68_spl ),
    inference(split_clause,[status(thm)],[f3364,f356,f924,f657]) ).

fof(f3374,plain,
    ( ~ sQ116_spl
    | ~ sQ231_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3367,f84]) ).

fof(f3375,plain,
    ( ~ sQ116_spl
    | ~ sQ231_spl ),
    inference(contradiction_clause,[status(thm)],[f3374]) ).

fof(f3396,plain,
    ( ~ sQ137_spl
    | ~ sQ167_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f2440,f600]) ).

fof(f3397,plain,
    ( ~ sQ137_spl
    | ~ sQ167_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3396,f89]) ).

fof(f3398,plain,
    ( ~ sQ137_spl
    | ~ sQ167_spl ),
    inference(contradiction_clause,[status(thm)],[f3397]) ).

fof(f3399,plain,
    ( ~ sQ152_spl
    | ~ sQ116_spl
    | product2(e_2,e_2,e_4) ),
    inference(resolution,[status(thm)],[f529,f2046]) ).

fof(f3400,plain,
    ( ~ sQ157_spl
    | ~ sQ116_spl
    | product2(e_2,e_1,e_4) ),
    inference(resolution,[status(thm)],[f529,f2011]) ).

fof(f3408,plain,
    ( ~ sQ152_spl
    | ~ sQ116_spl
    | sQ68_spl ),
    inference(split_clause,[status(thm)],[f3399,f356,f528,f651]) ).

fof(f3409,plain,
    ( ~ sQ157_spl
    | ~ sQ116_spl
    | sQ73_spl ),
    inference(split_clause,[status(thm)],[f3400,f372,f528,f667]) ).

fof(f3410,plain,
    ( ~ sQ242_spl
    | ~ sQ195_spl
    | product2(e_1,e_2,e_5) ),
    inference(resolution,[status(thm)],[f800,f2793]) ).

fof(f3412,plain,
    ( ~ sQ5_spl
    | ~ sQ195_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f800,f1053]) ).

fof(f3419,plain,
    ( ~ sQ5_spl
    | ~ sQ195_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3412,f80]) ).

fof(f3420,plain,
    ( ~ sQ5_spl
    | ~ sQ195_spl ),
    inference(contradiction_clause,[status(thm)],[f3419]) ).

fof(f3424,plain,
    ! [X0] :
      ( ~ sQ242_spl
      | ~ sQ195_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f3410,f107]) ).

fof(f3425,plain,
    ! [X0] :
      ( ~ sQ242_spl
      | ~ sQ195_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f3410,f105]) ).

fof(f3426,plain,
    ! [X0] :
      ( ~ sQ242_spl
      | ~ sQ195_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f3410,f103]) ).

fof(f3429,plain,
    ( ~ sQ195_spl
    | ~ sQ247_spl
    | product2(e_1,e_1,e_5) ),
    inference(resolution,[status(thm)],[f2744,f800]) ).

fof(f3430,plain,
    ( ~ sQ195_spl
    | ~ sQ247_spl
    | sQ89_spl ),
    inference(split_clause,[status(thm)],[f3429,f426,f975,f799]) ).

fof(f3432,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | ~ sQ132_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f1901,f1147]) ).

fof(f3433,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | ~ sQ132_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3432,f77]) ).

fof(f3434,plain,
    ( ~ sQ11_spl
    | ~ sQ18_spl
    | ~ sQ132_spl ),
    inference(contradiction_clause,[status(thm)],[f3433]) ).

fof(f3435,plain,
    ( ~ sQ198_spl
    | ~ sQ145_spl
    | product2(e_1,e_5,e_3) ),
    inference(resolution,[status(thm)],[f630,f2202]) ).

fof(f3437,plain,
    ( ~ sQ160_spl
    | ~ sQ145_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f630,f2500]) ).

fof(f3444,plain,
    ( ~ sQ160_spl
    | ~ sQ145_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3437,f91]) ).

fof(f3445,plain,
    ( ~ sQ160_spl
    | ~ sQ145_spl ),
    inference(contradiction_clause,[status(thm)],[f3444]) ).

fof(f3446,plain,
    ( ~ sQ159_spl
    | ~ sQ230_spl
    | product2(e_1,e_1,e_4) ),
    inference(resolution,[status(thm)],[f922,f1995]) ).

fof(f3454,plain,
    ( ~ sQ159_spl
    | ~ sQ230_spl
    | sQ88_spl ),
    inference(split_clause,[status(thm)],[f3446,f423,f921,f673]) ).

fof(f3455,plain,
    ( ~ sQ247_spl
    | ~ sQ196_spl
    | sQ74_spl ),
    inference(split_clause,[status(thm)],[f3217,f375,f802,f975]) ).

fof(f3481,plain,
    ( ~ sQ150_spl
    | ~ sQ107_spl
    | product2(e_3,e_2,e_4) ),
    inference(resolution,[status(thm)],[f500,f2070]) ).

fof(f3482,plain,
    ( ~ sQ160_spl
    | ~ sQ107_spl
    | product2(e_3,e_5,e_4) ),
    inference(resolution,[status(thm)],[f500,f2502]) ).

fof(f3490,plain,
    ( ~ sQ150_spl
    | ~ sQ107_spl
    | sQ53_spl ),
    inference(split_clause,[status(thm)],[f3481,f305,f499,f645]) ).

fof(f3497,plain,
    ( ~ sQ107_spl
    | ~ sQ112_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f1650,f500]) ).

fof(f3498,plain,
    ( ~ sQ107_spl
    | ~ sQ112_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3497,f77]) ).

fof(f3499,plain,
    ( ~ sQ107_spl
    | ~ sQ112_spl ),
    inference(contradiction_clause,[status(thm)],[f3498]) ).

fof(f3504,plain,
    ( ~ sQ167_spl
    | ~ sQ33_spl
    | ~ sQ5_spl
    | equalish(e_5,e_2) ),
    inference(resolution,[status(thm)],[f3182,f2440]) ).

fof(f3507,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | ~ sQ5_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f3182,f107]) ).

fof(f3508,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | ~ sQ5_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f3182,f105]) ).

fof(f3509,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | ~ sQ5_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f3182,f103]) ).

fof(f3510,plain,
    ( ~ sQ167_spl
    | ~ sQ33_spl
    | ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3504,f90]) ).

fof(f3511,plain,
    ( ~ sQ167_spl
    | ~ sQ33_spl
    | ~ sQ5_spl ),
    inference(contradiction_clause,[status(thm)],[f3510]) ).

fof(f3515,plain,
    ( ~ sQ33_spl
    | ~ sQ156_spl
    | ~ sQ125_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f1949,f3057]) ).

fof(f3516,plain,
    ( ~ sQ33_spl
    | ~ sQ156_spl
    | ~ sQ125_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3515,f86]) ).

fof(f3517,plain,
    ( ~ sQ33_spl
    | ~ sQ156_spl
    | ~ sQ125_spl ),
    inference(contradiction_clause,[status(thm)],[f3516]) ).

fof(f3518,plain,
    ( ~ sQ39_spl
    | ~ sQ247_spl
    | ~ sQ180_spl
    | equalish(e_5,e_2) ),
    inference(resolution,[status(thm)],[f2345,f3263]) ).

fof(f3519,plain,
    ( ~ sQ39_spl
    | ~ sQ247_spl
    | ~ sQ180_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3518,f90]) ).

fof(f3520,plain,
    ( ~ sQ39_spl
    | ~ sQ247_spl
    | ~ sQ180_spl ),
    inference(contradiction_clause,[status(thm)],[f3519]) ).

fof(f3521,plain,
    ( ~ sQ39_spl
    | ~ sQ15_spl
    | ~ sQ206_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f2676,f3340]) ).

fof(f3522,plain,
    ( ~ sQ39_spl
    | ~ sQ15_spl
    | ~ sQ206_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3521,f87]) ).

fof(f3523,plain,
    ( ~ sQ39_spl
    | ~ sQ15_spl
    | ~ sQ206_spl ),
    inference(contradiction_clause,[status(thm)],[f3522]) ).

fof(f3524,plain,
    ( ~ sQ29_spl
    | ~ sQ242_spl
    | product2(e_3,e_1,e_2) ),
    inference(resolution,[status(thm)],[f960,f1069]) ).

fof(f3526,plain,
    ( ~ sQ247_spl
    | ~ sQ242_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f960,f2742]) ).

fof(f3528,plain,
    ( ~ sQ152_spl
    | ~ sQ242_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f960,f2043]) ).

fof(f3534,plain,
    ( ~ sQ29_spl
    | ~ sQ242_spl
    | sQ56_spl ),
    inference(split_clause,[status(thm)],[f3524,f315,f959,f222]) ).

fof(f3535,plain,
    ( ~ sQ247_spl
    | ~ sQ242_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3526,f73]) ).

fof(f3536,plain,
    ( ~ sQ247_spl
    | ~ sQ242_spl ),
    inference(contradiction_clause,[status(thm)],[f3535]) ).

fof(f3537,plain,
    ( ~ sQ198_spl
    | ~ sQ145_spl
    | sQ172_spl ),
    inference(split_clause,[status(thm)],[f3435,f725,f629,f808]) ).

fof(f3538,plain,
    ( ~ sQ82_spl
    | ~ sQ33_spl
    | ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3184,f75]) ).

fof(f3539,plain,
    ( ~ sQ82_spl
    | ~ sQ33_spl
    | ~ sQ5_spl ),
    inference(contradiction_clause,[status(thm)],[f3538]) ).

fof(f3540,plain,
    ( ~ sQ163_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2479,f88]) ).

fof(f3541,plain,
    ~ sQ163_spl,
    inference(contradiction_clause,[status(thm)],[f3540]) ).

fof(f3542,plain,
    ( ~ sQ11_spl
    | ~ sQ19_spl
    | sQ222_spl ),
    inference(split_clause,[status(thm)],[f1139,f890,f190,f162]) ).

fof(f3563,plain,
    ( ~ sQ230_spl
    | ~ sQ154_spl
    | product2(e_1,e_2,e_4) ),
    inference(resolution,[status(thm)],[f2033,f922]) ).

fof(f3564,plain,
    ! [X0] :
      ( ~ sQ230_spl
      | ~ sQ154_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f3563,f107]) ).

fof(f3565,plain,
    ! [X0] :
      ( ~ sQ230_spl
      | ~ sQ154_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f3563,f105]) ).

fof(f3566,plain,
    ! [X0] :
      ( ~ sQ230_spl
      | ~ sQ154_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f3563,f103]) ).

fof(f3570,plain,
    ( ~ sQ247_spl
    | ~ sQ34_spl
    | product2(e_3,e_3,e_1) ),
    inference(resolution,[status(thm)],[f1271,f976]) ).

fof(f3571,plain,
    ( ~ sQ247_spl
    | ~ sQ34_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f3570,f280,f241,f975]) ).

fof(f3572,plain,
    ( ~ sQ83_spl
    | ~ sQ218_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2592,f76]) ).

fof(f3573,plain,
    ( ~ sQ83_spl
    | ~ sQ218_spl ),
    inference(contradiction_clause,[status(thm)],[f3572]) ).

fof(f3574,plain,
    ( ~ sQ222_spl
    | ~ sQ217_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2995,f73]) ).

fof(f3575,plain,
    ( ~ sQ222_spl
    | ~ sQ217_spl ),
    inference(contradiction_clause,[status(thm)],[f3574]) ).

fof(f3576,plain,
    ( sQ83_spl
    | ~ sQ230_spl
    | ~ sQ154_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f409,f3563]) ).

fof(f3577,plain,
    ( sQ83_spl
    | ~ sQ230_spl
    | ~ sQ154_spl ),
    inference(contradiction_clause,[status(thm)],[f3576]) ).

fof(f3579,plain,
    ( ~ sQ247_spl
    | ~ sQ109_spl
    | product2(e_3,e_4,e_1) ),
    inference(resolution,[status(thm)],[f1671,f976]) ).

fof(f3580,plain,
    ( ~ sQ247_spl
    | ~ sQ109_spl
    | sQ100_spl ),
    inference(split_clause,[status(thm)],[f3579,f477,f505,f975]) ).

fof(f3594,plain,
    ( ~ sQ198_spl
    | ~ sQ145_spl
    | product2(e_1,e_5,e_3) ),
    inference(resolution,[status(thm)],[f630,f2202]) ).

fof(f3604,plain,
    ! [X0] :
      ( ~ sQ198_spl
      | ~ sQ145_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f3594,f107]) ).

fof(f3605,plain,
    ! [X0] :
      ( ~ sQ198_spl
      | ~ sQ145_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f3594,f105]) ).

fof(f3606,plain,
    ! [X0] :
      ( ~ sQ198_spl
      | ~ sQ145_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f3594,f103]) ).

fof(f3607,plain,
    ( ~ sQ156_spl
    | ~ sQ11_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f1006,f665]) ).

fof(f3608,plain,
    ( ~ sQ156_spl
    | ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3607,f83]) ).

fof(f3609,plain,
    ( ~ sQ156_spl
    | ~ sQ11_spl ),
    inference(contradiction_clause,[status(thm)],[f3608]) ).

fof(f3629,plain,
    ( ~ sQ149_spl
    | ~ sQ13_spl
    | ~ sQ207_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f2670,f3083]) ).

fof(f3630,plain,
    ( ~ sQ149_spl
    | ~ sQ13_spl
    | ~ sQ207_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3629,f85]) ).

fof(f3631,plain,
    ( ~ sQ149_spl
    | ~ sQ13_spl
    | ~ sQ207_spl ),
    inference(contradiction_clause,[status(thm)],[f3630]) ).

fof(f3633,plain,
    ( ~ sQ156_spl
    | ~ sQ112_spl
    | product2(e_3,e_1,e_4) ),
    inference(resolution,[status(thm)],[f516,f2019]) ).

fof(f3640,plain,
    ( ~ sQ248_spl
    | ~ sQ162_spl
    | product2(e_3,e_1,e_5) ),
    inference(resolution,[status(thm)],[f694,f2735]) ).

fof(f3642,plain,
    ( ~ sQ243_spl
    | ~ sQ162_spl
    | product2(e_3,e_2,e_5) ),
    inference(resolution,[status(thm)],[f694,f2789]) ).

fof(f3643,plain,
    ( ~ sQ238_spl
    | ~ sQ162_spl
    | product2(e_3,e_3,e_5) ),
    inference(resolution,[status(thm)],[f694,f2815]) ).

fof(f3645,plain,
    ( ~ sQ187_spl
    | ~ sQ162_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f694,f2294]) ).

fof(f3651,plain,
    ( ~ sQ248_spl
    | ~ sQ162_spl
    | sQ59_spl ),
    inference(split_clause,[status(thm)],[f3640,f324,f693,f978]) ).

fof(f3652,plain,
    ( ~ sQ243_spl
    | ~ sQ162_spl
    | sQ54_spl ),
    inference(split_clause,[status(thm)],[f3642,f308,f693,f962]) ).

fof(f3653,plain,
    ( ~ sQ238_spl
    | ~ sQ162_spl
    | sQ49_spl ),
    inference(split_clause,[status(thm)],[f3643,f292,f693,f946]) ).

fof(f3654,plain,
    ( ~ sQ187_spl
    | ~ sQ162_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3645,f75]) ).

fof(f3655,plain,
    ( ~ sQ187_spl
    | ~ sQ162_spl ),
    inference(contradiction_clause,[status(thm)],[f3654]) ).

fof(f3656,plain,
    ( ~ sQ9_spl
    | ~ sQ238_spl
    | product2(e_4,e_2,e_3) ),
    inference(resolution,[status(thm)],[f947,f1024]) ).

fof(f3664,plain,
    ( ~ sQ9_spl
    | ~ sQ238_spl
    | sQ132_spl ),
    inference(split_clause,[status(thm)],[f3656,f583,f946,f155]) ).

fof(f3719,plain,
    ( ~ sQ196_spl
    | ~ sQ15_spl
    | product2(e_1,e_5,e_3) ),
    inference(resolution,[status(thm)],[f179,f2216]) ).

fof(f3727,plain,
    ( ~ sQ196_spl
    | ~ sQ15_spl
    | sQ172_spl ),
    inference(split_clause,[status(thm)],[f3719,f725,f178,f802]) ).

fof(f3734,plain,
    ! [X0] :
      ( ~ sQ156_spl
      | ~ sQ112_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f3633,f107]) ).

fof(f3735,plain,
    ! [X0] :
      ( ~ sQ156_spl
      | ~ sQ112_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f3633,f105]) ).

fof(f3736,plain,
    ! [X0] :
      ( ~ sQ156_spl
      | ~ sQ112_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f3633,f103]) ).

fof(f3739,plain,
    ( ~ sQ238_spl
    | ~ sQ119_spl
    | product2(e_4,e_4,e_3) ),
    inference(resolution,[status(thm)],[f1598,f947]) ).

fof(f3740,plain,
    ( ~ sQ238_spl
    | ~ sQ119_spl
    | sQ122_spl ),
    inference(split_clause,[status(thm)],[f3739,f551,f537,f946]) ).

fof(f3749,plain,
    ( ~ sQ156_spl
    | ~ sQ112_spl
    | ~ sQ53_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f1351,f3633]) ).

fof(f3750,plain,
    ( ~ sQ156_spl
    | ~ sQ112_spl
    | ~ sQ53_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3749,f77]) ).

fof(f3751,plain,
    ( ~ sQ156_spl
    | ~ sQ112_spl
    | ~ sQ53_spl ),
    inference(contradiction_clause,[status(thm)],[f3750]) ).

fof(f3802,plain,
    ( ~ sQ247_spl
    | ~ sQ196_spl
    | product2(e_2,e_1,e_5) ),
    inference(resolution,[status(thm)],[f803,f2744]) ).

fof(f3811,plain,
    ( ~ sQ243_spl
    | ~ sQ160_spl
    | product2(e_1,e_2,e_5) ),
    inference(resolution,[status(thm)],[f688,f2789]) ).

fof(f3812,plain,
    ( ~ sQ150_spl
    | ~ sQ160_spl
    | equalish(e_2,e_5) ),
    inference(resolution,[status(thm)],[f688,f2068]) ).

fof(f3819,plain,
    ( ~ sQ150_spl
    | ~ sQ160_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3812,f80]) ).

fof(f3820,plain,
    ( ~ sQ150_spl
    | ~ sQ160_spl ),
    inference(contradiction_clause,[status(thm)],[f3819]) ).

fof(f3821,plain,
    ( ~ sQ152_spl
    | ~ sQ242_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3528,f88]) ).

fof(f3822,plain,
    ( ~ sQ152_spl
    | ~ sQ242_spl ),
    inference(contradiction_clause,[status(thm)],[f3821]) ).

fof(f3835,plain,
    ( ~ sQ107_spl
    | ~ sQ13_spl
    | product2(e_4,e_4,e_1) ),
    inference(resolution,[status(thm)],[f169,f1683]) ).

fof(f3843,plain,
    ( ~ sQ107_spl
    | ~ sQ13_spl
    | sQ120_spl ),
    inference(split_clause,[status(thm)],[f3835,f545,f168,f499]) ).

fof(f3844,plain,
    ( ~ sQ13_spl
    | ~ sQ187_spl
    | product2(e_4,e_5,e_1) ),
    inference(resolution,[status(thm)],[f2297,f169]) ).

fof(f3845,plain,
    ( ~ sQ13_spl
    | ~ sQ187_spl
    | sQ165_spl ),
    inference(split_clause,[status(thm)],[f3844,f703,f773,f168]) ).

fof(f3846,plain,
    ( ~ sQ18_spl
    | ~ sQ193_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2243,f84]) ).

fof(f3847,plain,
    ( ~ sQ18_spl
    | ~ sQ193_spl ),
    inference(contradiction_clause,[status(thm)],[f3846]) ).

fof(f3848,plain,
    ( ~ sQ13_spl
    | ~ sQ198_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f2200,f169]) ).

fof(f3849,plain,
    ( ~ sQ13_spl
    | ~ sQ198_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3848,f89]) ).

fof(f3850,plain,
    ( ~ sQ13_spl
    | ~ sQ198_spl ),
    inference(contradiction_clause,[status(thm)],[f3849]) ).

fof(f3851,plain,
    ( ~ sQ160_spl
    | ~ sQ190_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f2272,f688]) ).

fof(f3852,plain,
    ( ~ sQ160_spl
    | ~ sQ190_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3851,f79]) ).

fof(f3853,plain,
    ( ~ sQ160_spl
    | ~ sQ190_spl ),
    inference(contradiction_clause,[status(thm)],[f3852]) ).

fof(f3854,plain,
    ( ~ sQ243_spl
    | ~ sQ160_spl
    | sQ84_spl ),
    inference(split_clause,[status(thm)],[f3811,f410,f687,f962]) ).

fof(f3855,plain,
    ! [X0] :
      ( ~ sQ160_spl
      | ~ sQ107_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_5,e_4) ),
    inference(resolution,[status(thm)],[f3482,f107]) ).

fof(f3856,plain,
    ! [X0] :
      ( ~ sQ160_spl
      | ~ sQ107_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f3482,f105]) ).

fof(f3857,plain,
    ! [X0] :
      ( ~ sQ160_spl
      | ~ sQ107_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,e_5,X0) ),
    inference(resolution,[status(thm)],[f3482,f103]) ).

fof(f3869,plain,
    ( ~ sQ159_spl
    | ~ sQ231_spl
    | product2(e_2,e_1,e_4) ),
    inference(resolution,[status(thm)],[f925,f1995]) ).

fof(f3883,plain,
    ( ~ sQ33_spl
    | ~ sQ159_spl
    | product2(e_5,e_3,e_1) ),
    inference(resolution,[status(thm)],[f674,f1276]) ).

fof(f3885,plain,
    ( ~ sQ38_spl
    | ~ sQ159_spl
    | product2(e_5,e_2,e_1) ),
    inference(resolution,[status(thm)],[f674,f1247]) ).

fof(f3892,plain,
    ! [X0] :
      ( ~ sQ159_spl
      | ~ sQ231_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f3869,f107]) ).

fof(f3893,plain,
    ! [X0] :
      ( ~ sQ159_spl
      | ~ sQ231_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f3869,f105]) ).

fof(f3894,plain,
    ! [X0] :
      ( ~ sQ159_spl
      | ~ sQ231_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f3869,f103]) ).

fof(f3898,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | ~ sQ159_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f3885,f107]) ).

fof(f3899,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | ~ sQ159_spl
      | equalish(e_2,X0)
      | ~ product2(e_5,X0,e_1) ),
    inference(resolution,[status(thm)],[f3885,f105]) ).

fof(f3900,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | ~ sQ159_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,e_2,X0) ),
    inference(resolution,[status(thm)],[f3885,f103]) ).

fof(f3902,plain,
    ( ~ sQ152_spl
    | ~ sQ28_spl
    | product2(e_3,e_1,e_2) ),
    inference(resolution,[status(thm)],[f1074,f652]) ).

fof(f3903,plain,
    ( ~ sQ38_spl
    | ~ sQ110_spl
    | product2(e_4,e_4,e_2) ),
    inference(resolution,[status(thm)],[f1667,f255]) ).

fof(f3904,plain,
    ( ~ sQ38_spl
    | ~ sQ110_spl
    | sQ121_spl ),
    inference(split_clause,[status(thm)],[f3903,f548,f509,f254]) ).

fof(f3905,plain,
    ( ~ sQ160_spl
    | ~ sQ243_spl
    | product2(e_1,e_2,e_5) ),
    inference(resolution,[status(thm)],[f2789,f688]) ).

fof(f3909,plain,
    ! [X0] :
      ( ~ sQ152_spl
      | ~ sQ28_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f3902,f107]) ).

fof(f3910,plain,
    ! [X0] :
      ( ~ sQ152_spl
      | ~ sQ28_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f3902,f105]) ).

fof(f3911,plain,
    ! [X0] :
      ( ~ sQ152_spl
      | ~ sQ28_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f3902,f103]) ).

fof(f3918,plain,
    ! [X0] :
      ( ~ sQ160_spl
      | ~ sQ243_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_2,e_5) ),
    inference(resolution,[status(thm)],[f3905,f107]) ).

fof(f3919,plain,
    ! [X0] :
      ( ~ sQ160_spl
      | ~ sQ243_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f3905,f105]) ).

fof(f3920,plain,
    ! [X0] :
      ( ~ sQ160_spl
      | ~ sQ243_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f3905,f103]) ).

fof(f3935,plain,
    ( ~ sQ192_spl
    | ~ sQ9_spl
    | product2(e_5,e_5,e_2) ),
    inference(resolution,[status(thm)],[f156,f2254]) ).

fof(f3937,plain,
    ( ~ sQ119_spl
    | ~ sQ9_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f156,f1596]) ).

fof(f3944,plain,
    ( ~ sQ192_spl
    | ~ sQ9_spl
    | sQ201_spl ),
    inference(split_clause,[status(thm)],[f3935,f823,f155,f789]) ).

fof(f3945,plain,
    ( ~ sQ119_spl
    | ~ sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3937,f86]) ).

fof(f3946,plain,
    ( ~ sQ119_spl
    | ~ sQ9_spl ),
    inference(contradiction_clause,[status(thm)],[f3945]) ).

fof(f3947,plain,
    ( sQ56_spl
    | ~ sQ152_spl
    | ~ sQ28_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f317,f3902]) ).

fof(f3948,plain,
    ( sQ56_spl
    | ~ sQ152_spl
    | ~ sQ28_spl ),
    inference(contradiction_clause,[status(thm)],[f3947]) ).

fof(f3967,plain,
    ( ~ sQ231_spl
    | ~ sQ149_spl
    | product2(e_2,e_3,e_4) ),
    inference(resolution,[status(thm)],[f2080,f925]) ).

fof(f3968,plain,
    ( ~ sQ160_spl
    | ~ sQ238_spl
    | product2(e_1,e_3,e_5) ),
    inference(resolution,[status(thm)],[f2815,f688]) ).

fof(f3969,plain,
    ( ~ sQ160_spl
    | ~ sQ238_spl
    | sQ79_spl ),
    inference(split_clause,[status(thm)],[f3968,f394,f946,f687]) ).

fof(f3982,plain,
    ( ~ sQ150_spl
    | ~ sQ107_spl
    | product2(e_3,e_2,e_4) ),
    inference(resolution,[status(thm)],[f500,f2070]) ).

fof(f3992,plain,
    ( ~ sQ63_spl
    | ~ sQ78_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f392,f1469]) ).

fof(f3997,plain,
    ( ~ sQ63_spl
    | ~ sQ78_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f3992,f77]) ).

fof(f3998,plain,
    ( ~ sQ63_spl
    | ~ sQ78_spl ),
    inference(contradiction_clause,[status(thm)],[f3997]) ).

fof(f4005,plain,
    ! [X0] :
      ( ~ sQ150_spl
      | ~ sQ107_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f3982,f107]) ).

fof(f4006,plain,
    ! [X0] :
      ( ~ sQ150_spl
      | ~ sQ107_spl
      | equalish(e_2,X0)
      | ~ product2(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f3982,f105]) ).

fof(f4007,plain,
    ! [X0] :
      ( ~ sQ150_spl
      | ~ sQ107_spl
      | equalish(e_4,X0)
      | ~ product2(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f3982,f103]) ).

fof(f4011,plain,
    ( ~ sQ150_spl
    | ~ sQ107_spl
    | ~ sQ218_spl
    | equalish(e_5,e_3) ),
    inference(resolution,[status(thm)],[f2593,f3982]) ).

fof(f4012,plain,
    ( ~ sQ150_spl
    | ~ sQ107_spl
    | ~ sQ218_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4011,f91]) ).

fof(f4013,plain,
    ( ~ sQ150_spl
    | ~ sQ107_spl
    | ~ sQ218_spl ),
    inference(contradiction_clause,[status(thm)],[f4012]) ).

fof(f4014,plain,
    ( sQ215_spl
    | ~ sQ38_spl
    | ~ sQ159_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f870,f3885]) ).

fof(f4015,plain,
    ( sQ215_spl
    | ~ sQ38_spl
    | ~ sQ159_spl ),
    inference(contradiction_clause,[status(thm)],[f4014]) ).

fof(f4016,plain,
    ( ~ sQ38_spl
    | ~ sQ159_spl
    | ~ sQ210_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f2649,f3885]) ).

fof(f4017,plain,
    ( ~ sQ38_spl
    | ~ sQ159_spl
    | ~ sQ210_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4016,f82]) ).

fof(f4018,plain,
    ( ~ sQ38_spl
    | ~ sQ159_spl
    | ~ sQ210_spl ),
    inference(contradiction_clause,[status(thm)],[f4017]) ).

fof(f4019,plain,
    ( ~ sQ107_spl
    | ~ sQ232_spl
    | equalish(e_5,e_1) ),
    inference(resolution,[status(thm)],[f2884,f500]) ).

fof(f4020,plain,
    ( ~ sQ107_spl
    | ~ sQ232_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4019,f89]) ).

fof(f4021,plain,
    ( ~ sQ107_spl
    | ~ sQ232_spl ),
    inference(contradiction_clause,[status(thm)],[f4020]) ).

fof(f4026,plain,
    ( ~ sQ146_spl
    | ~ sQ114_spl
    | product2(e_5,e_3,e_4) ),
    inference(resolution,[status(thm)],[f522,f2110]) ).

fof(f4033,plain,
    ( ~ sQ146_spl
    | ~ sQ114_spl
    | sQ213_spl ),
    inference(split_clause,[status(thm)],[f4026,f861,f521,f632]) ).

fof(f4037,plain,
    ( ~ sQ38_spl
    | ~ sQ159_spl
    | ~ sQ130_spl
    | equalish(e_4,e_5) ),
    inference(resolution,[status(thm)],[f1909,f3885]) ).

fof(f4038,plain,
    ( ~ sQ38_spl
    | ~ sQ159_spl
    | ~ sQ130_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4037,f88]) ).

fof(f4039,plain,
    ( ~ sQ38_spl
    | ~ sQ159_spl
    | ~ sQ130_spl ),
    inference(contradiction_clause,[status(thm)],[f4038]) ).

fof(f4041,plain,
    ( ~ sQ107_spl
    | ~ sQ11_spl
    | product2(e_2,e_4,e_1) ),
    inference(resolution,[status(thm)],[f163,f1683]) ).

fof(f4051,plain,
    ! [X0] :
      ( ~ sQ107_spl
      | ~ sQ11_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f4041,f107]) ).

fof(f4052,plain,
    ! [X0] :
      ( ~ sQ107_spl
      | ~ sQ11_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f4041,f105]) ).

fof(f4053,plain,
    ! [X0] :
      ( ~ sQ107_spl
      | ~ sQ11_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f4041,f103]) ).

fof(f4063,plain,
    ( ~ sQ248_spl
    | ~ sQ162_spl
    | product2(e_3,e_1,e_5) ),
    inference(resolution,[status(thm)],[f694,f2735]) ).

fof(f4071,plain,
    ( ~ sQ104_spl
    | ~ sQ248_spl
    | ~ sQ162_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f4063,f1701]) ).

fof(f4072,plain,
    ( ~ sQ59_spl
    | ~ sQ248_spl
    | ~ sQ162_spl
    | equalish(e_1,e_1) ),
    inference(resolution,[status(thm)],[f4063,f1313]) ).

fof(f4073,plain,
    ( ~ sQ59_spl
    | ~ sQ248_spl
    | ~ sQ162_spl
    | equalish(e_3,e_3) ),
    inference(resolution,[status(thm)],[f4063,f1312]) ).

fof(f4074,plain,
    ! [X0] :
      ( ~ sQ248_spl
      | ~ sQ162_spl
      | equalish(e_3,X0)
      | ~ product2(X0,e_1,e_5) ),
    inference(resolution,[status(thm)],[f4063,f107]) ).

fof(f4075,plain,
    ! [X0] :
      ( ~ sQ248_spl
      | ~ sQ162_spl
      | equalish(e_1,X0)
      | ~ product2(e_3,X0,e_5) ),
    inference(resolution,[status(thm)],[f4063,f105]) ).

fof(f4076,plain,
    ! [X0] :
      ( ~ sQ248_spl
      | ~ sQ162_spl
      | equalish(e_5,X0)
      | ~ product2(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f4063,f103]) ).

fof(f4077,plain,
    ( ~ sQ104_spl
    | ~ sQ248_spl
    | ~ sQ162_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f4071,f85]) ).

fof(f4078,plain,
    ( ~ sQ104_spl
    | ~ sQ248_spl
    | ~ sQ162_spl ),
    inference(contradiction_clause,[status(thm)],[f4077]) ).

fof(f4082,plain,
    ! [X0] :
      ( ~ sQ231_spl
      | ~ sQ149_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f3967,f107]) ).

fof(f4083,plain,
    ! [X0] :
      ( ~ sQ231_spl
      | ~ sQ149_spl
      | equalish(e_3,X0)
      | ~ product2(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f3967,f105]) ).

fof(f4084,plain,
    ! [X0] :
      ( ~ sQ231_spl
      | ~ sQ149_spl
      | equalish(e_4,X0)
      | ~ product2(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f3967,f103]) ).

fof(f4118,plain,
    ( ~ sQ114_spl
    | ~ sQ156_spl
    | product2(e_5,e_1,e_4) ),
    inference(resolution,[status(thm)],[f2019,f522]) ).

fof(f4132,plain,
    ! [X0] :
      ( ~ sQ114_spl
      | ~ sQ156_spl
      | equalish(e_5,X0)
      | ~ product2(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f4118,f107]) ).

fof(f4133,plain,
    ! [X0] :
      ( ~ sQ114_spl
      | ~ sQ156_spl
      | equalish(e_1,X0)
      | ~ product2(e_5,X0,e_4) ),
    inference(resolution,[status(thm)],[f4118,f105]) ).

fof(f4134,plain,
    ! [X0] :
      ( ~ sQ114_spl
      | ~ sQ156_spl
      | equalish(e_4,X0)
      | ~ product2(e_5,e_1,X0) ),
    inference(resolution,[status(thm)],[f4118,f103]) ).

fof(f4137,plain,
    ( ~ sQ115_spl
    | ~ sQ152_spl
    | product2(e_1,e_2,e_4) ),
    inference(resolution,[status(thm)],[f2046,f526]) ).

fof(f4138,plain,
    ! [X0] :
      ( ~ sQ115_spl
      | ~ sQ152_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f4137,f107]) ).

fof(f4139,plain,
    ! [X0] :
      ( ~ sQ115_spl
      | ~ sQ152_spl
      | equalish(e_2,X0)
      | ~ product2(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f4137,f105]) ).

fof(f4140,plain,
    ! [X0] :
      ( ~ sQ115_spl
      | ~ sQ152_spl
      | equalish(e_4,X0)
      | ~ product2(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f4137,f103]) ).

fof(f4181,plain,
    ( ~ sQ192_spl
    | ~ sQ8_spl
    | product2(e_4,e_5,e_2) ),
    inference(resolution,[status(thm)],[f153,f2254]) ).

fof(f4189,plain,
    ( ~ sQ188_spl
    | ~ sQ156_spl
    | product2(e_2,e_5,e_1) ),
    inference(resolution,[status(thm)],[f665,f2291]) ).

fof(f4204,plain,
    ! [X0] :
      ( ~ sQ192_spl
      | ~ sQ8_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_5,e_2) ),
    inference(resolution,[status(thm)],[f4181,f107]) ).

fof(f4205,plain,
    ! [X0] :
      ( ~ sQ192_spl
      | ~ sQ8_spl
      | equalish(e_5,X0)
      | ~ product2(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f4181,f105]) ).

fof(f4206,plain,
    ! [X0] :
      ( ~ sQ192_spl
      | ~ sQ8_spl
      | equalish(e_2,X0)
      | ~ product2(e_4,e_5,X0) ),
    inference(resolution,[status(thm)],[f4181,f103]) ).

fof(f4207,plain,
    ! [X0] :
      ( ~ sQ188_spl
      | ~ sQ156_spl
      | equalish(e_2,X0)
      | ~ product2(X0,e_5,e_1) ),
    inference(resolution,[status(thm)],[f4189,f107]) ).

fof(f4208,plain,
    ! [X0] :
      ( ~ sQ188_spl
      | ~ sQ156_spl
      | equalish(e_5,X0)
      | ~ product2(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f4189,f105]) ).

fof(f4209,plain,
    ! [X0] :
      ( ~ sQ188_spl
      | ~ sQ156_spl
      | equalish(e_1,X0)
      | ~ product2(e_2,e_5,X0) ),
    inference(resolution,[status(thm)],[f4189,f103]) ).

fof(f4250,plain,
    ( ~ sQ238_spl
    | ~ sQ160_spl
    | product2(e_1,e_3,e_5) ),
    inference(resolution,[status(thm)],[f688,f2815]) ).

fof(f4258,plain,
    ( ~ sQ231_spl
    | ~ sQ192_spl
    | product2(e_3,e_4,e_5) ),
    inference(resolution,[status(thm)],[f790,f2893]) ).

fof(f4265,plain,
    ! [X0] :
      ( ~ sQ238_spl
      | ~ sQ160_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_3,e_5) ),
    inference(resolution,[status(thm)],[f4250,f107]) ).

fof(f4266,plain,
    ! [X0] :
      ( ~ sQ238_spl
      | ~ sQ160_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,X0,e_5) ),
    inference(resolution,[status(thm)],[f4250,f105]) ).

fof(f4267,plain,
    ! [X0] :
      ( ~ sQ238_spl
      | ~ sQ160_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f4250,f103]) ).

fof(f4280,plain,
    ( ~ sQ196_spl
    | ~ sQ15_spl
    | product2(e_1,e_5,e_3) ),
    inference(resolution,[status(thm)],[f179,f2216]) ).

fof(f4290,plain,
    ! [X0] :
      ( ~ sQ196_spl
      | ~ sQ15_spl
      | equalish(e_1,X0)
      | ~ product2(X0,e_5,e_3) ),
    inference(resolution,[status(thm)],[f4280,f107]) ).

fof(f4291,plain,
    ! [X0] :
      ( ~ sQ196_spl
      | ~ sQ15_spl
      | equalish(e_5,X0)
      | ~ product2(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f4280,f105]) ).

fof(f4292,plain,
    ! [X0] :
      ( ~ sQ196_spl
      | ~ sQ15_spl
      | equalish(e_3,X0)
      | ~ product2(e_1,e_5,X0) ),
    inference(resolution,[status(thm)],[f4280,f103]) ).

fof(f4294,plain,
    ( ~ sQ114_spl
    | ~ sQ240_spl
    | product2(e_1,e_4,e_2) ),
    inference(resolution,[status(thm)],[f954,f1636]) ).

fof(f4316,plain,
    ( ~ sQ31_spl
    | ~ sQ28_spl
    | product2(e_4,e_3,e_1) ),
    inference(resolution,[status(thm)],[f220,f1289]) ).

fof(f4326,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | ~ sQ28_spl
      | equalish(e_4,X0)
      | ~ product2(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f4316,f107]) ).

fof(f4327,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | ~ sQ28_spl
      | equalish(e_3,X0)
      | ~ product2(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f4316,f105]) ).

fof(f4328,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | ~ sQ28_spl
      | equalish(e_1,X0)
      | ~ product2(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f4316,f103]) ).

fof(f4338,plain,
    ( ~ sQ240_spl
    | ~ sQ188_spl
    | product2(e_4,e_2,e_5) ),
    inference(resolution,[status(thm)],[f777,f2804]) ).

fof(model,axiom,
    ( ~ sQ0_spl
    | ~ sQ1_spl
    | sQ2_spl
    | ~ sQ3_spl
    | ~ sQ4_spl
    | ~ sQ5_spl
    | ~ sQ6_spl
    | ~ sQ7_spl
    | sQ8_spl
    | ~ sQ9_spl
    | ~ sQ10_spl
    | ~ sQ11_spl
    | ~ sQ12_spl
    | ~ sQ13_spl
    | sQ14_spl
    | sQ15_spl
    | ~ sQ16_spl
    | ~ sQ17_spl
    | ~ sQ18_spl
    | ~ sQ19_spl
    | ~ sQ20_spl
    | sQ21_spl
    | ~ sQ22_spl
    | ~ sQ23_spl
    | ~ sQ24_spl
    | ~ sQ25_spl
    | ~ sQ26_spl
    | ~ sQ27_spl
    | sQ28_spl
    | ~ sQ29_spl
    | ~ sQ30_spl
    | sQ31_spl
    | ~ sQ32_spl
    | ~ sQ33_spl
    | ~ sQ34_spl
    | ~ sQ35_spl
    | ~ sQ36_spl
    | ~ sQ37_spl
    | ~ sQ38_spl
    | sQ39_spl
    | sQ40_spl
    | ~ sQ42_spl
    | ~ sQ43_spl
    | ~ sQ44_spl
    | ~ sQ45_spl
    | ~ sQ46_spl
    | sQ47_spl
    | ~ sQ48_spl
    | ~ sQ49_spl
    | sQ50_spl
    | ~ sQ51_spl
    | ~ sQ52_spl
    | ~ sQ53_spl
    | ~ sQ54_spl
    | ~ sQ55_spl
    | sQ56_spl
    | ~ sQ57_spl
    | ~ sQ58_spl
    | ~ 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
    | ~ 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
    | ~ sQ130_spl
    | ~ sQ131_spl
    | ~ sQ132_spl
    | ~ sQ133_spl
    | sQ134_spl
    | ~ sQ135_spl
    | ~ sQ136_spl
    | sQ137_spl
    | ~ sQ138_spl
    | ~ sQ139_spl
    | ~ sQ140_spl
    | ~ sQ141_spl
    | ~ sQ142_spl
    | 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
    | ~ sQ174_spl
    | sQ175_spl
    | ~ sQ176_spl
    | ~ sQ177_spl
    | ~ sQ178_spl
    | ~ sQ179_spl
    | ~ sQ180_spl
    | ~ sQ182_spl
    | sQ183_spl
    | ~ sQ184_spl
    | ~ sQ185_spl
    | ~ sQ186_spl
    | ~ sQ187_spl
    | sQ188_spl
    | ~ sQ189_spl
    | ~ sQ190_spl
    | ~ sQ191_spl
    | sQ192_spl
    | ~ sQ193_spl
    | ~ sQ194_spl
    | ~ sQ195_spl
    | sQ196_spl
    | ~ sQ197_spl
    | ~ sQ198_spl
    | ~ sQ199_spl
    | ~ sQ200_spl
    | ~ sQ201_spl
    | ~ 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
    | ~ sQ224_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
    | ~ sQ239_spl
    | sQ240_spl
    | ~ sQ241_spl
    | ~ sQ242_spl
    | ~ sQ243_spl
    | ~ sQ244_spl
    | ~ sQ245_spl
    | ~ sQ246_spl
    | sQ247_spl
    | ~ sQ248_spl
    | ~ sQ249_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GRP124-7.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38  % Computer : n008.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 20 19:59:54 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.40  % Drodi V4.1.1
% 0.12/0.73  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.73  % SZS output start Saturation for theBenchmark
% See solution above
% 0.53/0.81  % Elapsed time: 0.403733 seconds
% 0.53/0.81  % CPU time: 2.545163 seconds
% 0.53/0.81  % Total memory used: 40.560 MB
% 0.53/0.81  % Net memory used: 39.403 MB
%------------------------------------------------------------------------------