↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GRP125-2.004 : 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 : n002.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 12:35:49 PM UTC 2026

% Result   : Satisfiable 0.16s 0.48s
% Output   : Saturation 0.16s
% 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,
    greater(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    greater(e_3,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    greater(e_4,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    greater(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    greater(e_4,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    greater(e_4,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X,Y,X1] :
      ( ~ greater(Y,X1)
      | ~ next(X,X1)
      | ~ product(X,e_1,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f15,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ~ equalish(e_2,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [X,Y] :
      ( product(X,Y,e_4)
      | product(X,Y,e_3)
      | product(X,Y,e_2)
      | product(X,Y,e_1)
      | ~ group_element(Y)
      | ~ group_element(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [X,Y,W,Z] :
      ( equalish(W,Z)
      | ~ product(X,Y,Z)
      | ~ product(X,Y,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [X,W,Y,Z] :
      ( equalish(W,Z)
      | ~ product(X,Z,Y)
      | ~ product(X,W,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [W,Y,X,Z] :
      ( equalish(W,Z)
      | ~ product(Z,Y,X)
      | ~ product(W,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ! [X] : product(X,X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ! [X,Y,Z1,Z2] :
      ( product(Z1,Z2,X)
      | ~ product(Y,X,Z2)
      | ~ product(X,Y,Z1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,plain,
    next(e_1,e_2),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f34,plain,
    next(e_2,e_3),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f35,plain,
    next(e_3,e_4),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f36,plain,
    greater(e_2,e_1),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f37,plain,
    greater(e_3,e_1),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f38,plain,
    greater(e_4,e_1),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f39,plain,
    greater(e_3,e_2),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f40,plain,
    greater(e_4,e_2),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f41,plain,
    greater(e_4,e_3),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f42,plain,
    ! [Y,X1] :
      ( ~ greater(Y,X1)
      | ! [X] :
          ( ~ next(X,X1)
          | ~ product(X,e_1,Y) ) ),
    inference(miniscoping,[status(thm)],[f10]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X1,X2)
      | ~ next(X0,X2)
      | ~ product(X0,e_1,X1) ),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f44,plain,
    group_element(e_1),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f45,plain,
    group_element(e_2),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f46,plain,
    group_element(e_3),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f47,plain,
    group_element(e_4),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f48,plain,
    ~ equalish(e_1,e_2),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f49,plain,
    ~ equalish(e_1,e_3),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f50,plain,
    ~ equalish(e_1,e_4),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f51,plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f52,plain,
    ~ equalish(e_2,e_3),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f53,plain,
    ~ equalish(e_2,e_4),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f54,plain,
    ~ equalish(e_3,e_1),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f55,plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f56,plain,
    ~ equalish(e_3,e_4),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f57,plain,
    ~ equalish(e_4,e_1),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f58,plain,
    ~ equalish(e_4,e_2),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f59,plain,
    ~ equalish(e_4,e_3),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( product(X0,X1,e_4)
      | product(X0,X1,e_3)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f61,plain,
    ! [W,Z] :
      ( equalish(W,Z)
      | ! [X,Y] :
          ( ~ product(X,Y,Z)
          | ~ product(X,Y,W) ) ),
    inference(miniscoping,[status(thm)],[f28]) ).

fof(f62,plain,
    ! [X0,X1,X2,X3] :
      ( equalish(X2,X3)
      | ~ product(X0,X1,X3)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f63,plain,
    ! [W,Z] :
      ( equalish(W,Z)
      | ! [X,Y] :
          ( ~ product(X,Z,Y)
          | ~ product(X,W,Y) ) ),
    inference(miniscoping,[status(thm)],[f29]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3] :
      ( equalish(X1,X3)
      | ~ product(X0,X3,X2)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f65,plain,
    ! [W,Z] :
      ( equalish(W,Z)
      | ! [Y,X] :
          ( ~ product(Z,Y,X)
          | ~ product(W,Y,X) ) ),
    inference(miniscoping,[status(thm)],[f30]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3] :
      ( equalish(X0,X3)
      | ~ product(X3,X1,X2)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f65]) ).

fof(f67,plain,
    ! [X0] : product(X0,X0,X0),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f68,plain,
    ! [X,Z1,Z2] :
      ( product(Z1,Z2,X)
      | ! [Y] :
          ( ~ product(Y,X,Z2)
          | ~ product(X,Y,Z1) ) ),
    inference(miniscoping,[status(thm)],[f32]) ).

fof(f69,plain,
    ! [X0,X1,X2,X3] :
      ( product(X2,X3,X0)
      | ~ product(X1,X0,X3)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f68]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( product(X1,X0,X0)
      | ~ product(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f67,f69]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( equalish(X1,X0)
      | ~ product(X0,X0,X1) ),
    inference(resolution,[status(thm)],[f62,f67]) ).

fof(f73,plain,
    ! [X0] : equalish(X0,X0),
    inference(resolution,[status(thm)],[f72,f67]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( equalish(X1,X0)
      | ~ product(X0,X1,X0) ),
    inference(resolution,[status(thm)],[f64,f67]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ product(X0,X1,X1) ),
    inference(resolution,[status(thm)],[f66,f67]) ).

fof(f77,plain,
    ! [X0] :
      ( product(e_4,X0,e_4)
      | product(e_4,X0,e_3)
      | product(e_4,X0,e_2)
      | product(e_4,X0,e_1)
      | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[f60,f47]) ).

fof(f78,plain,
    ! [X0] :
      ( product(e_3,X0,e_4)
      | product(e_3,X0,e_3)
      | product(e_3,X0,e_2)
      | product(e_3,X0,e_1)
      | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[f60,f46]) ).

fof(f79,plain,
    ! [X0] :
      ( product(e_2,X0,e_4)
      | product(e_2,X0,e_3)
      | product(e_2,X0,e_2)
      | product(e_2,X0,e_1)
      | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[f60,f45]) ).

fof(f80,plain,
    ! [X0] :
      ( product(e_1,X0,e_4)
      | product(e_1,X0,e_3)
      | product(e_1,X0,e_2)
      | product(e_1,X0,e_1)
      | ~ group_element(X0) ),
    inference(resolution,[status(thm)],[f60,f44]) ).

fof(f81,plain,
    ( product(e_4,e_4,e_4)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_1) ),
    inference(resolution,[status(thm)],[f77,f47]) ).

fof(f82,plain,
    ( product(e_4,e_3,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_1) ),
    inference(resolution,[status(thm)],[f77,f46]) ).

fof(f83,plain,
    ( product(e_4,e_2,e_4)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_1) ),
    inference(resolution,[status(thm)],[f77,f45]) ).

fof(f84,plain,
    ( product(e_4,e_1,e_4)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_1) ),
    inference(resolution,[status(thm)],[f77,f44]) ).

fof(f85,definition,
    ( sQ0_spl
  <=> product(e_4,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f88,definition,
    ( sQ1_spl
  <=> product(e_4,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f91,definition,
    ( sQ2_spl
  <=> product(e_4,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f94,definition,
    ( sQ3_spl
  <=> product(e_4,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f97,plain,
    ( sQ3_spl
    | sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f81,f85,f88,f91,f94]) ).

fof(f98,definition,
    ( sQ4_spl
  <=> product(e_4,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f99,plain,
    ( ~ sQ4_spl
    | product(e_4,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f98]) ).

fof(f101,definition,
    ( sQ5_spl
  <=> product(e_4,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f102,plain,
    ( ~ sQ5_spl
    | product(e_4,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f101]) ).

fof(f103,plain,
    ( sQ5_spl
    | ~ product(e_4,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f101]) ).

fof(f104,definition,
    ( sQ6_spl
  <=> product(e_4,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f105,plain,
    ( ~ sQ6_spl
    | product(e_4,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f104]) ).

fof(f106,plain,
    ( sQ6_spl
    | ~ product(e_4,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f104]) ).

fof(f107,definition,
    ( sQ7_spl
  <=> product(e_4,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f108,plain,
    ( ~ sQ7_spl
    | product(e_4,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f107]) ).

fof(f109,plain,
    ( sQ7_spl
    | ~ product(e_4,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f107]) ).

fof(f110,plain,
    ( sQ7_spl
    | sQ6_spl
    | sQ5_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f82,f98,f101,f104,f107]) ).

fof(f111,definition,
    ( sQ8_spl
  <=> product(e_4,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f112,plain,
    ( ~ sQ8_spl
    | product(e_4,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f111]) ).

fof(f113,plain,
    ( sQ8_spl
    | ~ product(e_4,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f111]) ).

fof(f114,definition,
    ( sQ9_spl
  <=> product(e_4,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f115,plain,
    ( ~ sQ9_spl
    | product(e_4,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f114]) ).

fof(f116,plain,
    ( sQ9_spl
    | ~ product(e_4,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f114]) ).

fof(f117,definition,
    ( sQ10_spl
  <=> product(e_4,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f118,plain,
    ( ~ sQ10_spl
    | product(e_4,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f117]) ).

fof(f119,plain,
    ( sQ10_spl
    | ~ product(e_4,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f117]) ).

fof(f120,definition,
    ( sQ11_spl
  <=> product(e_4,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f121,plain,
    ( ~ sQ11_spl
    | product(e_4,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f120]) ).

fof(f122,plain,
    ( sQ11_spl
    | ~ product(e_4,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f120]) ).

fof(f123,plain,
    ( sQ11_spl
    | sQ10_spl
    | sQ9_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f83,f111,f114,f117,f120]) ).

fof(f124,definition,
    ( sQ12_spl
  <=> product(e_4,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f125,plain,
    ( ~ sQ12_spl
    | product(e_4,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f124]) ).

fof(f126,plain,
    ( sQ12_spl
    | ~ product(e_4,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f124]) ).

fof(f127,definition,
    ( sQ13_spl
  <=> product(e_4,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f128,plain,
    ( ~ sQ13_spl
    | product(e_4,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f127]) ).

fof(f129,plain,
    ( sQ13_spl
    | ~ product(e_4,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f127]) ).

fof(f130,definition,
    ( sQ14_spl
  <=> product(e_4,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f131,plain,
    ( ~ sQ14_spl
    | product(e_4,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f130]) ).

fof(f132,plain,
    ( sQ14_spl
    | ~ product(e_4,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f130]) ).

fof(f133,definition,
    ( sQ15_spl
  <=> product(e_4,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f134,plain,
    ( ~ sQ15_spl
    | product(e_4,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f133]) ).

fof(f135,plain,
    ( sQ15_spl
    | ~ product(e_4,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f133]) ).

fof(f136,plain,
    ( sQ15_spl
    | sQ14_spl
    | sQ13_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f84,f124,f127,f130,f133]) ).

fof(f137,plain,
    ( product(e_3,e_4,e_4)
    | product(e_3,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_1) ),
    inference(resolution,[status(thm)],[f78,f47]) ).

fof(f138,plain,
    ( product(e_3,e_3,e_4)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_1) ),
    inference(resolution,[status(thm)],[f78,f46]) ).

fof(f139,plain,
    ( product(e_3,e_2,e_4)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1) ),
    inference(resolution,[status(thm)],[f78,f45]) ).

fof(f140,plain,
    ( product(e_3,e_1,e_4)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1) ),
    inference(resolution,[status(thm)],[f78,f44]) ).

fof(f141,definition,
    ( sQ16_spl
  <=> product(e_3,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f142,plain,
    ( ~ sQ16_spl
    | product(e_3,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f141]) ).

fof(f143,plain,
    ( sQ16_spl
    | ~ product(e_3,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f141]) ).

fof(f144,definition,
    ( sQ17_spl
  <=> product(e_3,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f145,plain,
    ( ~ sQ17_spl
    | product(e_3,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f144]) ).

fof(f147,definition,
    ( sQ18_spl
  <=> product(e_3,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f148,plain,
    ( ~ sQ18_spl
    | product(e_3,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f147]) ).

fof(f149,plain,
    ( sQ18_spl
    | ~ product(e_3,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f147]) ).

fof(f150,definition,
    ( sQ19_spl
  <=> product(e_3,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f151,plain,
    ( ~ sQ19_spl
    | product(e_3,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f150]) ).

fof(f152,plain,
    ( sQ19_spl
    | ~ product(e_3,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f150]) ).

fof(f153,plain,
    ( sQ19_spl
    | sQ18_spl
    | sQ17_spl
    | sQ16_spl ),
    inference(split_clause,[status(thm)],[f137,f141,f144,f147,f150]) ).

fof(f154,definition,
    ( sQ20_spl
  <=> product(e_3,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f155,plain,
    ( ~ sQ20_spl
    | product(e_3,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f154]) ).

fof(f156,plain,
    ( sQ20_spl
    | ~ product(e_3,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f154]) ).

fof(f157,definition,
    ( sQ21_spl
  <=> product(e_3,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f158,plain,
    ( ~ sQ21_spl
    | product(e_3,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f157]) ).

fof(f159,plain,
    ( sQ21_spl
    | ~ product(e_3,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f157]) ).

fof(f160,definition,
    ( sQ22_spl
  <=> product(e_3,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f163,definition,
    ( sQ23_spl
  <=> product(e_3,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f164,plain,
    ( ~ sQ23_spl
    | product(e_3,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f163]) ).

fof(f165,plain,
    ( sQ23_spl
    | ~ product(e_3,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f163]) ).

fof(f166,plain,
    ( sQ23_spl
    | sQ22_spl
    | sQ21_spl
    | sQ20_spl ),
    inference(split_clause,[status(thm)],[f138,f154,f157,f160,f163]) ).

fof(f167,definition,
    ( sQ24_spl
  <=> product(e_3,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f168,plain,
    ( ~ sQ24_spl
    | product(e_3,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f167]) ).

fof(f170,definition,
    ( sQ25_spl
  <=> product(e_3,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f171,plain,
    ( ~ sQ25_spl
    | product(e_3,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f170]) ).

fof(f172,plain,
    ( sQ25_spl
    | ~ product(e_3,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f170]) ).

fof(f173,definition,
    ( sQ26_spl
  <=> product(e_3,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f174,plain,
    ( ~ sQ26_spl
    | product(e_3,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f173]) ).

fof(f175,plain,
    ( sQ26_spl
    | ~ product(e_3,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f173]) ).

fof(f176,definition,
    ( sQ27_spl
  <=> product(e_3,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f177,plain,
    ( ~ sQ27_spl
    | product(e_3,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f176]) ).

fof(f178,plain,
    ( sQ27_spl
    | ~ product(e_3,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f176]) ).

fof(f179,plain,
    ( sQ27_spl
    | sQ26_spl
    | sQ25_spl
    | sQ24_spl ),
    inference(split_clause,[status(thm)],[f139,f167,f170,f173,f176]) ).

fof(f180,definition,
    ( sQ28_spl
  <=> product(e_3,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f181,plain,
    ( ~ sQ28_spl
    | product(e_3,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f180]) ).

fof(f182,plain,
    ( sQ28_spl
    | ~ product(e_3,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f180]) ).

fof(f183,definition,
    ( sQ29_spl
  <=> product(e_3,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f184,plain,
    ( ~ sQ29_spl
    | product(e_3,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f183]) ).

fof(f185,plain,
    ( sQ29_spl
    | ~ product(e_3,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f183]) ).

fof(f186,definition,
    ( sQ30_spl
  <=> product(e_3,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f187,plain,
    ( ~ sQ30_spl
    | product(e_3,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f186]) ).

fof(f188,plain,
    ( sQ30_spl
    | ~ product(e_3,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f186]) ).

fof(f189,definition,
    ( sQ31_spl
  <=> product(e_3,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f190,plain,
    ( ~ sQ31_spl
    | product(e_3,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f189]) ).

fof(f191,plain,
    ( sQ31_spl
    | ~ product(e_3,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f189]) ).

fof(f192,plain,
    ( sQ31_spl
    | sQ30_spl
    | sQ29_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f140,f180,f183,f186,f189]) ).

fof(f193,plain,
    ( product(e_2,e_4,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_1) ),
    inference(resolution,[status(thm)],[f79,f47]) ).

fof(f194,plain,
    ( product(e_2,e_3,e_4)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[f79,f46]) ).

fof(f195,plain,
    ( product(e_2,e_2,e_4)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1) ),
    inference(resolution,[status(thm)],[f79,f45]) ).

fof(f196,plain,
    ( product(e_2,e_1,e_4)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1) ),
    inference(resolution,[status(thm)],[f79,f44]) ).

fof(f197,definition,
    ( sQ32_spl
  <=> product(e_2,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f198,plain,
    ( ~ sQ32_spl
    | product(e_2,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f197]) ).

fof(f200,definition,
    ( sQ33_spl
  <=> product(e_2,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f201,plain,
    ( ~ sQ33_spl
    | product(e_2,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f200]) ).

fof(f202,plain,
    ( sQ33_spl
    | ~ product(e_2,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f200]) ).

fof(f203,definition,
    ( sQ34_spl
  <=> product(e_2,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f204,plain,
    ( ~ sQ34_spl
    | product(e_2,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f203]) ).

fof(f205,plain,
    ( sQ34_spl
    | ~ product(e_2,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f203]) ).

fof(f206,definition,
    ( sQ35_spl
  <=> product(e_2,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f207,plain,
    ( ~ sQ35_spl
    | product(e_2,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f206]) ).

fof(f208,plain,
    ( sQ35_spl
    | ~ product(e_2,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f206]) ).

fof(f209,plain,
    ( sQ35_spl
    | sQ34_spl
    | sQ33_spl
    | sQ32_spl ),
    inference(split_clause,[status(thm)],[f193,f197,f200,f203,f206]) ).

fof(f210,definition,
    ( sQ36_spl
  <=> product(e_2,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f211,plain,
    ( ~ sQ36_spl
    | product(e_2,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f210]) ).

fof(f212,plain,
    ( sQ36_spl
    | ~ product(e_2,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f210]) ).

fof(f213,definition,
    ( sQ37_spl
  <=> product(e_2,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f214,plain,
    ( ~ sQ37_spl
    | product(e_2,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f213]) ).

fof(f215,plain,
    ( sQ37_spl
    | ~ product(e_2,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f213]) ).

fof(f216,definition,
    ( sQ38_spl
  <=> product(e_2,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f217,plain,
    ( ~ sQ38_spl
    | product(e_2,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f216]) ).

fof(f218,plain,
    ( sQ38_spl
    | ~ product(e_2,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f216]) ).

fof(f219,definition,
    ( sQ39_spl
  <=> product(e_2,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f220,plain,
    ( ~ sQ39_spl
    | product(e_2,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f219]) ).

fof(f221,plain,
    ( sQ39_spl
    | ~ product(e_2,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f219]) ).

fof(f222,plain,
    ( sQ39_spl
    | sQ38_spl
    | sQ37_spl
    | sQ36_spl ),
    inference(split_clause,[status(thm)],[f194,f210,f213,f216,f219]) ).

fof(f223,definition,
    ( sQ40_spl
  <=> product(e_2,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f224,plain,
    ( ~ sQ40_spl
    | product(e_2,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f223]) ).

fof(f225,plain,
    ( sQ40_spl
    | ~ product(e_2,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f223]) ).

fof(f226,definition,
    ( sQ41_spl
  <=> product(e_2,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f229,definition,
    ( sQ42_spl
  <=> product(e_2,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f230,plain,
    ( ~ sQ42_spl
    | product(e_2,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f229]) ).

fof(f231,plain,
    ( sQ42_spl
    | ~ product(e_2,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f229]) ).

fof(f232,definition,
    ( sQ43_spl
  <=> product(e_2,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f233,plain,
    ( ~ sQ43_spl
    | product(e_2,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f232]) ).

fof(f234,plain,
    ( sQ43_spl
    | ~ product(e_2,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f232]) ).

fof(f235,plain,
    ( sQ43_spl
    | sQ42_spl
    | sQ41_spl
    | sQ40_spl ),
    inference(split_clause,[status(thm)],[f195,f223,f226,f229,f232]) ).

fof(f236,definition,
    ( sQ44_spl
  <=> product(e_2,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f237,plain,
    ( ~ sQ44_spl
    | product(e_2,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f236]) ).

fof(f238,plain,
    ( sQ44_spl
    | ~ product(e_2,e_1,e_1) ),
    inference(component_clause,[status(thm)],[f236]) ).

fof(f239,definition,
    ( sQ45_spl
  <=> product(e_2,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f240,plain,
    ( ~ sQ45_spl
    | product(e_2,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f239]) ).

fof(f241,plain,
    ( sQ45_spl
    | ~ product(e_2,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f239]) ).

fof(f242,definition,
    ( sQ46_spl
  <=> product(e_2,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f243,plain,
    ( ~ sQ46_spl
    | product(e_2,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f242]) ).

fof(f244,plain,
    ( sQ46_spl
    | ~ product(e_2,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f242]) ).

fof(f245,definition,
    ( sQ47_spl
  <=> product(e_2,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f246,plain,
    ( ~ sQ47_spl
    | product(e_2,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f245]) ).

fof(f247,plain,
    ( sQ47_spl
    | ~ product(e_2,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f245]) ).

fof(f248,plain,
    ( sQ47_spl
    | sQ46_spl
    | sQ45_spl
    | sQ44_spl ),
    inference(split_clause,[status(thm)],[f196,f236,f239,f242,f245]) ).

fof(f249,plain,
    ( product(e_1,e_4,e_4)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_1) ),
    inference(resolution,[status(thm)],[f80,f47]) ).

fof(f250,plain,
    ( product(e_1,e_3,e_4)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolution,[status(thm)],[f80,f46]) ).

fof(f251,plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1) ),
    inference(resolution,[status(thm)],[f80,f45]) ).

fof(f252,plain,
    ( product(e_1,e_1,e_4)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_1) ),
    inference(resolution,[status(thm)],[f80,f44]) ).

fof(f253,definition,
    ( sQ48_spl
  <=> product(e_1,e_4,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f254,plain,
    ( ~ sQ48_spl
    | product(e_1,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f253]) ).

fof(f255,plain,
    ( sQ48_spl
    | ~ product(e_1,e_4,e_1) ),
    inference(component_clause,[status(thm)],[f253]) ).

fof(f256,definition,
    ( sQ49_spl
  <=> product(e_1,e_4,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f257,plain,
    ( ~ sQ49_spl
    | product(e_1,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f256]) ).

fof(f258,plain,
    ( sQ49_spl
    | ~ product(e_1,e_4,e_2) ),
    inference(component_clause,[status(thm)],[f256]) ).

fof(f259,definition,
    ( sQ50_spl
  <=> product(e_1,e_4,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f260,plain,
    ( ~ sQ50_spl
    | product(e_1,e_4,e_3) ),
    inference(component_clause,[status(thm)],[f259]) ).

fof(f262,definition,
    ( sQ51_spl
  <=> product(e_1,e_4,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f263,plain,
    ( ~ sQ51_spl
    | product(e_1,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f262]) ).

fof(f264,plain,
    ( sQ51_spl
    | ~ product(e_1,e_4,e_4) ),
    inference(component_clause,[status(thm)],[f262]) ).

fof(f265,plain,
    ( sQ51_spl
    | sQ50_spl
    | sQ49_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f249,f253,f256,f259,f262]) ).

fof(f266,definition,
    ( sQ52_spl
  <=> product(e_1,e_3,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f267,plain,
    ( ~ sQ52_spl
    | product(e_1,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f266]) ).

fof(f268,plain,
    ( sQ52_spl
    | ~ product(e_1,e_3,e_1) ),
    inference(component_clause,[status(thm)],[f266]) ).

fof(f269,definition,
    ( sQ53_spl
  <=> product(e_1,e_3,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f270,plain,
    ( ~ sQ53_spl
    | product(e_1,e_3,e_2) ),
    inference(component_clause,[status(thm)],[f269]) ).

fof(f272,definition,
    ( sQ54_spl
  <=> product(e_1,e_3,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f273,plain,
    ( ~ sQ54_spl
    | product(e_1,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f272]) ).

fof(f274,plain,
    ( sQ54_spl
    | ~ product(e_1,e_3,e_3) ),
    inference(component_clause,[status(thm)],[f272]) ).

fof(f275,definition,
    ( sQ55_spl
  <=> product(e_1,e_3,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f276,plain,
    ( ~ sQ55_spl
    | product(e_1,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f275]) ).

fof(f277,plain,
    ( sQ55_spl
    | ~ product(e_1,e_3,e_4) ),
    inference(component_clause,[status(thm)],[f275]) ).

fof(f278,plain,
    ( sQ55_spl
    | sQ54_spl
    | sQ53_spl
    | sQ52_spl ),
    inference(split_clause,[status(thm)],[f250,f266,f269,f272,f275]) ).

fof(f279,definition,
    ( sQ56_spl
  <=> product(e_1,e_2,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).

fof(f280,plain,
    ( ~ sQ56_spl
    | product(e_1,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f279]) ).

fof(f281,plain,
    ( sQ56_spl
    | ~ product(e_1,e_2,e_1) ),
    inference(component_clause,[status(thm)],[f279]) ).

fof(f282,definition,
    ( sQ57_spl
  <=> product(e_1,e_2,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f283,plain,
    ( ~ sQ57_spl
    | product(e_1,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f282]) ).

fof(f284,plain,
    ( sQ57_spl
    | ~ product(e_1,e_2,e_2) ),
    inference(component_clause,[status(thm)],[f282]) ).

fof(f285,definition,
    ( sQ58_spl
  <=> product(e_1,e_2,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f286,plain,
    ( ~ sQ58_spl
    | product(e_1,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f285]) ).

fof(f287,plain,
    ( sQ58_spl
    | ~ product(e_1,e_2,e_3) ),
    inference(component_clause,[status(thm)],[f285]) ).

fof(f288,definition,
    ( sQ59_spl
  <=> product(e_1,e_2,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f289,plain,
    ( ~ sQ59_spl
    | product(e_1,e_2,e_4) ),
    inference(component_clause,[status(thm)],[f288]) ).

fof(f291,plain,
    ( sQ59_spl
    | sQ58_spl
    | sQ57_spl
    | sQ56_spl ),
    inference(split_clause,[status(thm)],[f251,f279,f282,f285,f288]) ).

fof(f292,definition,
    ( sQ60_spl
  <=> product(e_1,e_1,e_1) ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f295,definition,
    ( sQ61_spl
  <=> product(e_1,e_1,e_2) ),
    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).

fof(f296,plain,
    ( ~ sQ61_spl
    | product(e_1,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f295]) ).

fof(f297,plain,
    ( sQ61_spl
    | ~ product(e_1,e_1,e_2) ),
    inference(component_clause,[status(thm)],[f295]) ).

fof(f298,definition,
    ( sQ62_spl
  <=> product(e_1,e_1,e_3) ),
    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).

fof(f299,plain,
    ( ~ sQ62_spl
    | product(e_1,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f298]) ).

fof(f300,plain,
    ( sQ62_spl
    | ~ product(e_1,e_1,e_3) ),
    inference(component_clause,[status(thm)],[f298]) ).

fof(f301,definition,
    ( sQ63_spl
  <=> product(e_1,e_1,e_4) ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f302,plain,
    ( ~ sQ63_spl
    | product(e_1,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f301]) ).

fof(f303,plain,
    ( sQ63_spl
    | ~ product(e_1,e_1,e_4) ),
    inference(component_clause,[status(thm)],[f301]) ).

fof(f304,plain,
    ( sQ63_spl
    | sQ62_spl
    | sQ61_spl
    | sQ60_spl ),
    inference(split_clause,[status(thm)],[f252,f292,f295,f298,f301]) ).

fof(f306,plain,
    ! [X0] :
      ( ~ greater(e_1,X0)
      | ~ next(e_1,X0) ),
    inference(resolution,[status(thm)],[f43,f67]) ).

fof(f307,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | ~ greater(e_4,X0)
      | ~ next(e_4,X0) ),
    inference(resolution,[status(thm)],[f134,f43]) ).

fof(f308,plain,
    ( ~ sQ15_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f134,f74]) ).

fof(f309,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f134,f66]) ).

fof(f310,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | equalish(X0,e_1)
      | ~ product(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f134,f64]) ).

fof(f311,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | equalish(X0,e_4)
      | ~ product(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f134,f62]) ).

fof(f312,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | product(X0,e_4,e_1)
      | ~ product(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f134,f69]) ).

fof(f313,plain,
    ( ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f308,f50]) ).

fof(f314,plain,
    ~ sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f313]) ).

fof(f315,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | ~ greater(e_3,X0)
      | ~ next(e_4,X0) ),
    inference(resolution,[status(thm)],[f131,f43]) ).

fof(f316,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f131,f66]) ).

fof(f317,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | equalish(X0,e_1)
      | ~ product(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f131,f64]) ).

fof(f318,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | equalish(X0,e_3)
      | ~ product(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f131,f62]) ).

fof(f319,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | product(X0,e_3,e_1)
      | ~ product(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f131,f69]) ).

fof(f323,plain,
    ( ~ sQ14_spl
    | ~ sQ13_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f128,f318]) ).

fof(f324,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | ~ greater(e_2,X0)
      | ~ next(e_4,X0) ),
    inference(resolution,[status(thm)],[f128,f43]) ).

fof(f325,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f128,f66]) ).

fof(f326,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | equalish(X0,e_1)
      | ~ product(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f128,f64]) ).

fof(f327,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | equalish(X0,e_2)
      | ~ product(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f128,f62]) ).

fof(f328,plain,
    ! [X0] :
      ( ~ sQ13_spl
      | product(X0,e_2,e_1)
      | ~ product(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f128,f69]) ).

fof(f329,plain,
    ( ~ sQ14_spl
    | ~ sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f323,f52]) ).

fof(f330,plain,
    ( ~ sQ14_spl
    | ~ sQ13_spl ),
    inference(contradiction_clause,[status(thm)],[f329]) ).

fof(f331,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | ~ greater(e_1,X0)
      | ~ next(e_4,X0) ),
    inference(resolution,[status(thm)],[f125,f43]) ).

fof(f332,plain,
    ( ~ sQ12_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f125,f75]) ).

fof(f333,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f125,f66]) ).

fof(f334,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | equalish(X0,e_1)
      | ~ product(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f125,f64]) ).

fof(f335,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | equalish(X0,e_1)
      | ~ product(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f125,f62]) ).

fof(f336,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | product(X0,e_1,e_1)
      | ~ product(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f125,f69]) ).

fof(f337,plain,
    ( ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f332,f57]) ).

fof(f338,plain,
    ~ sQ12_spl,
    inference(contradiction_clause,[status(thm)],[f337]) ).

fof(f339,plain,
    ( ~ sQ11_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f121,f74]) ).

fof(f340,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f121,f66]) ).

fof(f341,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | equalish(X0,e_2)
      | ~ product(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f121,f64]) ).

fof(f342,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | equalish(X0,e_4)
      | ~ product(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f121,f62]) ).

fof(f343,plain,
    ! [X0] :
      ( ~ sQ11_spl
      | product(X0,e_4,e_2)
      | ~ product(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f121,f69]) ).

fof(f344,plain,
    ( ~ sQ11_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f339,f53]) ).

fof(f345,plain,
    ~ sQ11_spl,
    inference(contradiction_clause,[status(thm)],[f344]) ).

fof(f346,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f118,f66]) ).

fof(f347,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | equalish(X0,e_2)
      | ~ product(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f118,f64]) ).

fof(f348,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | equalish(X0,e_3)
      | ~ product(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f118,f62]) ).

fof(f349,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | product(X0,e_3,e_2)
      | ~ product(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f118,f69]) ).

fof(f353,plain,
    ( ~ sQ10_spl
    | ~ sQ9_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f115,f348]) ).

fof(f354,plain,
    ( ~ sQ13_spl
    | ~ sQ9_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f115,f326]) ).

fof(f355,plain,
    ( ~ sQ9_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f115,f75]) ).

fof(f356,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f115,f66]) ).

fof(f357,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | equalish(X0,e_2)
      | ~ product(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f115,f64]) ).

fof(f358,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | equalish(X0,e_2)
      | ~ product(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f115,f62]) ).

fof(f359,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | product(X0,e_2,e_2)
      | ~ product(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f115,f69]) ).

fof(f360,plain,
    ( ~ sQ10_spl
    | ~ sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f353,f52]) ).

fof(f361,plain,
    ( ~ sQ10_spl
    | ~ sQ9_spl ),
    inference(contradiction_clause,[status(thm)],[f360]) ).

fof(f362,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f112,f66]) ).

fof(f363,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | equalish(X0,e_2)
      | ~ product(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f112,f64]) ).

fof(f364,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | equalish(X0,e_1)
      | ~ product(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f112,f62]) ).

fof(f365,plain,
    ! [X0] :
      ( ~ sQ8_spl
      | product(X0,e_1,e_2)
      | ~ product(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f112,f69]) ).

fof(f369,plain,
    ( ~ sQ7_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f108,f74]) ).

fof(f370,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f108,f66]) ).

fof(f371,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | equalish(X0,e_3)
      | ~ product(e_4,X0,e_4) ),
    inference(resolution,[status(thm)],[f108,f64]) ).

fof(f372,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | equalish(X0,e_4)
      | ~ product(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f108,f62]) ).

fof(f373,plain,
    ! [X0] :
      ( ~ sQ7_spl
      | product(X0,e_4,e_3)
      | ~ product(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f108,f69]) ).

fof(f374,plain,
    ( ~ sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f369,f56]) ).

fof(f375,plain,
    ~ sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f374]) ).

fof(f376,plain,
    ( ~ sQ6_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f105,f75]) ).

fof(f377,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f105,f66]) ).

fof(f378,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | equalish(X0,e_3)
      | ~ product(e_4,X0,e_3) ),
    inference(resolution,[status(thm)],[f105,f64]) ).

fof(f379,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | equalish(X0,e_3)
      | ~ product(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f105,f62]) ).

fof(f380,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | product(X0,e_3,e_3)
      | ~ product(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f105,f69]) ).

fof(f381,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f376,f59]) ).

fof(f382,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f381]) ).

fof(f383,plain,
    ( ~ sQ13_spl
    | ~ sQ5_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f102,f326]) ).

fof(f384,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f102,f66]) ).

fof(f385,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | equalish(X0,e_3)
      | ~ product(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f102,f64]) ).

fof(f386,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | equalish(X0,e_2)
      | ~ product(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f102,f62]) ).

fof(f387,plain,
    ! [X0] :
      ( ~ sQ5_spl
      | product(X0,e_2,e_3)
      | ~ product(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f102,f69]) ).

fof(f388,plain,
    ( ~ sQ13_spl
    | ~ sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f383,f54]) ).

fof(f389,plain,
    ( ~ sQ13_spl
    | ~ sQ5_spl ),
    inference(contradiction_clause,[status(thm)],[f388]) ).

fof(f390,plain,
    ( ~ sQ8_spl
    | ~ sQ4_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f99,f363]) ).

fof(f391,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f99,f66]) ).

fof(f392,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | equalish(X0,e_3)
      | ~ product(e_4,X0,e_1) ),
    inference(resolution,[status(thm)],[f99,f64]) ).

fof(f393,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | equalish(X0,e_1)
      | ~ product(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f99,f62]) ).

fof(f394,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | product(X0,e_1,e_3)
      | ~ product(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f99,f69]) ).

fof(f395,plain,
    ( ~ sQ8_spl
    | ~ sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f390,f55]) ).

fof(f396,plain,
    ( ~ sQ8_spl
    | ~ sQ4_spl ),
    inference(contradiction_clause,[status(thm)],[f395]) ).

fof(f397,plain,
    ( ~ sQ13_spl
    | ~ sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f354,f51]) ).

fof(f398,plain,
    ( ~ sQ13_spl
    | ~ sQ9_spl ),
    inference(contradiction_clause,[status(thm)],[f397]) ).

fof(f402,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | ~ greater(e_4,X0)
      | ~ next(e_3,X0) ),
    inference(resolution,[status(thm)],[f190,f43]) ).

fof(f403,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f190,f66]) ).

fof(f404,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | equalish(X0,e_1)
      | ~ product(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f190,f64]) ).

fof(f405,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | equalish(X0,e_4)
      | ~ product(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f190,f62]) ).

fof(f406,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | product(X0,e_4,e_1)
      | ~ product(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f190,f69]) ).

fof(f411,plain,
    ! [X0] :
      ( ~ sQ30_spl
      | ~ greater(e_3,X0)
      | ~ next(e_3,X0) ),
    inference(resolution,[status(thm)],[f187,f43]) ).

fof(f412,plain,
    ( ~ sQ30_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f187,f74]) ).

fof(f413,plain,
    ! [X0] :
      ( ~ sQ30_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f187,f66]) ).

fof(f414,plain,
    ! [X0] :
      ( ~ sQ30_spl
      | equalish(X0,e_1)
      | ~ product(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f187,f64]) ).

fof(f415,plain,
    ! [X0] :
      ( ~ sQ30_spl
      | equalish(X0,e_3)
      | ~ product(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f187,f62]) ).

fof(f416,plain,
    ! [X0] :
      ( ~ sQ30_spl
      | product(X0,e_3,e_1)
      | ~ product(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f187,f69]) ).

fof(f419,plain,
    ( ~ sQ13_spl
    | ~ sQ29_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f184,f325]) ).

fof(f420,plain,
    ! [X0] :
      ( ~ sQ29_spl
      | ~ greater(e_2,X0)
      | ~ next(e_3,X0) ),
    inference(resolution,[status(thm)],[f184,f43]) ).

fof(f421,plain,
    ! [X0] :
      ( ~ sQ29_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f184,f66]) ).

fof(f422,plain,
    ! [X0] :
      ( ~ sQ29_spl
      | equalish(X0,e_1)
      | ~ product(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f184,f64]) ).

fof(f423,plain,
    ! [X0] :
      ( ~ sQ29_spl
      | equalish(X0,e_2)
      | ~ product(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f184,f62]) ).

fof(f424,plain,
    ! [X0] :
      ( ~ sQ29_spl
      | product(X0,e_2,e_1)
      | ~ product(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f184,f69]) ).

fof(f425,plain,
    ( ~ sQ13_spl
    | ~ sQ29_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f419,f56]) ).

fof(f426,plain,
    ( ~ sQ13_spl
    | ~ sQ29_spl ),
    inference(contradiction_clause,[status(thm)],[f425]) ).

fof(f427,plain,
    ! [X0] :
      ( ~ sQ28_spl
      | ~ greater(e_1,X0)
      | ~ next(e_3,X0) ),
    inference(resolution,[status(thm)],[f181,f43]) ).

fof(f428,plain,
    ( ~ sQ28_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f181,f75]) ).

fof(f429,plain,
    ! [X0] :
      ( ~ sQ28_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f181,f66]) ).

fof(f430,plain,
    ! [X0] :
      ( ~ sQ28_spl
      | equalish(X0,e_1)
      | ~ product(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f181,f64]) ).

fof(f431,plain,
    ! [X0] :
      ( ~ sQ28_spl
      | equalish(X0,e_1)
      | ~ product(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f181,f62]) ).

fof(f432,plain,
    ! [X0] :
      ( ~ sQ28_spl
      | product(X0,e_1,e_1)
      | ~ product(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f181,f69]) ).

fof(f433,plain,
    ( ~ sQ28_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f428,f54]) ).

fof(f434,plain,
    ~ sQ28_spl,
    inference(contradiction_clause,[status(thm)],[f433]) ).

fof(f435,plain,
    ( ~ sQ30_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f412,f49]) ).

fof(f436,plain,
    ~ sQ30_spl,
    inference(contradiction_clause,[status(thm)],[f435]) ).

fof(f437,plain,
    ( ~ sQ31_spl
    | ~ sQ27_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f177,f404]) ).

fof(f438,plain,
    ! [X0] :
      ( ~ sQ27_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f177,f66]) ).

fof(f439,plain,
    ! [X0] :
      ( ~ sQ27_spl
      | equalish(X0,e_2)
      | ~ product(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f177,f64]) ).

fof(f440,plain,
    ! [X0] :
      ( ~ sQ27_spl
      | equalish(X0,e_4)
      | ~ product(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f177,f62]) ).

fof(f441,plain,
    ! [X0] :
      ( ~ sQ27_spl
      | product(X0,e_4,e_2)
      | ~ product(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f177,f69]) ).

fof(f442,plain,
    ( ~ sQ31_spl
    | ~ sQ27_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f437,f51]) ).

fof(f443,plain,
    ( ~ sQ31_spl
    | ~ sQ27_spl ),
    inference(contradiction_clause,[status(thm)],[f442]) ).

fof(f444,plain,
    ( ~ sQ10_spl
    | ~ sQ26_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f174,f346]) ).

fof(f445,plain,
    ( ~ sQ26_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f174,f74]) ).

fof(f446,plain,
    ! [X0] :
      ( ~ sQ26_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f174,f66]) ).

fof(f447,plain,
    ! [X0] :
      ( ~ sQ26_spl
      | equalish(X0,e_2)
      | ~ product(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f174,f64]) ).

fof(f448,plain,
    ! [X0] :
      ( ~ sQ26_spl
      | equalish(X0,e_3)
      | ~ product(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f174,f62]) ).

fof(f449,plain,
    ! [X0] :
      ( ~ sQ26_spl
      | product(X0,e_3,e_2)
      | ~ product(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f174,f69]) ).

fof(f450,plain,
    ( ~ sQ10_spl
    | ~ sQ26_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f444,f56]) ).

fof(f451,plain,
    ( ~ sQ10_spl
    | ~ sQ26_spl ),
    inference(contradiction_clause,[status(thm)],[f450]) ).

fof(f452,plain,
    ( ~ sQ25_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f171,f75]) ).

fof(f453,plain,
    ! [X0] :
      ( ~ sQ25_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f171,f66]) ).

fof(f454,plain,
    ! [X0] :
      ( ~ sQ25_spl
      | equalish(X0,e_2)
      | ~ product(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f171,f64]) ).

fof(f455,plain,
    ! [X0] :
      ( ~ sQ25_spl
      | equalish(X0,e_2)
      | ~ product(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f171,f62]) ).

fof(f456,plain,
    ! [X0] :
      ( ~ sQ25_spl
      | product(X0,e_2,e_2)
      | ~ product(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f171,f69]) ).

fof(f457,plain,
    ( ~ sQ25_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f452,f55]) ).

fof(f458,plain,
    ~ sQ25_spl,
    inference(contradiction_clause,[status(thm)],[f457]) ).

fof(f459,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f168,f66]) ).

fof(f460,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | equalish(X0,e_2)
      | ~ product(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f168,f64]) ).

fof(f461,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | equalish(X0,e_1)
      | ~ product(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f168,f62]) ).

fof(f462,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | product(X0,e_1,e_2)
      | ~ product(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f168,f69]) ).

fof(f466,plain,
    ( ~ sQ31_spl
    | ~ sQ23_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f164,f404]) ).

fof(f467,plain,
    ! [X0] :
      ( ~ sQ23_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f164,f66]) ).

fof(f468,plain,
    ! [X0] :
      ( ~ sQ23_spl
      | equalish(X0,e_3)
      | ~ product(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f164,f64]) ).

fof(f469,plain,
    ( ~ sQ23_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f164,f72]) ).

fof(f470,plain,
    ! [X0] :
      ( ~ sQ23_spl
      | equalish(X0,e_4)
      | ~ product(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f164,f62]) ).

fof(f471,plain,
    ( ~ sQ23_spl
    | product(e_4,e_3,e_3) ),
    inference(resolution,[status(thm)],[f164,f70]) ).

fof(f472,plain,
    ! [X0] :
      ( ~ sQ23_spl
      | product(X0,e_4,e_3)
      | ~ product(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f164,f69]) ).

fof(f473,plain,
    ( ~ sQ31_spl
    | ~ sQ23_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f466,f54]) ).

fof(f474,plain,
    ( ~ sQ31_spl
    | ~ sQ23_spl ),
    inference(contradiction_clause,[status(thm)],[f473]) ).

fof(f475,plain,
    ! [X0] :
      ( ~ sQ21_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f158,f66]) ).

fof(f476,plain,
    ! [X0] :
      ( ~ sQ21_spl
      | equalish(X0,e_3)
      | ~ product(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f158,f64]) ).

fof(f477,plain,
    ( ~ sQ21_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f158,f72]) ).

fof(f478,plain,
    ! [X0] :
      ( ~ sQ21_spl
      | equalish(X0,e_2)
      | ~ product(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f158,f62]) ).

fof(f479,plain,
    ( ~ sQ21_spl
    | product(e_2,e_3,e_3) ),
    inference(resolution,[status(thm)],[f158,f70]) ).

fof(f480,plain,
    ! [X0] :
      ( ~ sQ21_spl
      | product(X0,e_2,e_3)
      | ~ product(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f158,f69]) ).

fof(f481,plain,
    ( ~ sQ21_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f477,f52]) ).

fof(f482,plain,
    ~ sQ21_spl,
    inference(contradiction_clause,[status(thm)],[f481]) ).

fof(f483,plain,
    ( ~ sQ24_spl
    | ~ sQ20_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f155,f460]) ).

fof(f484,plain,
    ( ~ sQ4_spl
    | ~ sQ20_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f155,f391]) ).

fof(f485,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f155,f66]) ).

fof(f486,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | equalish(X0,e_3)
      | ~ product(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f155,f64]) ).

fof(f487,plain,
    ( ~ sQ20_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f155,f72]) ).

fof(f488,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | equalish(X0,e_1)
      | ~ product(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f155,f62]) ).

fof(f489,plain,
    ( ~ sQ20_spl
    | product(e_1,e_3,e_3) ),
    inference(resolution,[status(thm)],[f155,f70]) ).

fof(f490,plain,
    ! [X0] :
      ( ~ sQ20_spl
      | product(X0,e_1,e_3)
      | ~ product(e_3,e_3,X0) ),
    inference(resolution,[status(thm)],[f155,f69]) ).

fof(f491,plain,
    ( ~ sQ24_spl
    | ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f483,f55]) ).

fof(f492,plain,
    ( ~ sQ24_spl
    | ~ sQ20_spl ),
    inference(contradiction_clause,[status(thm)],[f491]) ).

fof(f493,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | product(e_4,e_1,e_3) ),
    inference(resolution,[status(thm)],[f151,f394]) ).

fof(f494,plain,
    ( ~ sQ31_spl
    | ~ sQ19_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f151,f404]) ).

fof(f495,plain,
    ( ~ sQ19_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f151,f75]) ).

fof(f496,plain,
    ! [X0] :
      ( ~ sQ19_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f151,f66]) ).

fof(f497,plain,
    ! [X0] :
      ( ~ sQ19_spl
      | equalish(X0,e_4)
      | ~ product(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f151,f64]) ).

fof(f498,plain,
    ! [X0] :
      ( ~ sQ19_spl
      | equalish(X0,e_4)
      | ~ product(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f151,f62]) ).

fof(f499,plain,
    ! [X0] :
      ( ~ sQ19_spl
      | product(X0,e_4,e_4)
      | ~ product(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f151,f69]) ).

fof(f500,plain,
    ( ~ sQ4_spl
    | ~ sQ19_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f493,f130,f150,f98]) ).

fof(f501,plain,
    ( ~ sQ31_spl
    | ~ sQ19_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f494,f57]) ).

fof(f502,plain,
    ( ~ sQ31_spl
    | ~ sQ19_spl ),
    inference(contradiction_clause,[status(thm)],[f501]) ).

fof(f504,plain,
    ( ~ sQ18_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f148,f74]) ).

fof(f505,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f148,f66]) ).

fof(f506,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | equalish(X0,e_4)
      | ~ product(e_3,X0,e_3) ),
    inference(resolution,[status(thm)],[f148,f64]) ).

fof(f507,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | equalish(X0,e_3)
      | ~ product(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f148,f62]) ).

fof(f508,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | product(X0,e_3,e_4)
      | ~ product(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f148,f69]) ).

fof(f510,plain,
    ( ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f504,f59]) ).

fof(f511,plain,
    ~ sQ18_spl,
    inference(contradiction_clause,[status(thm)],[f510]) ).

fof(f512,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | product(e_2,e_1,e_3) ),
    inference(resolution,[status(thm)],[f145,f394]) ).

fof(f513,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f145,f66]) ).

fof(f514,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | equalish(X0,e_4)
      | ~ product(e_3,X0,e_2) ),
    inference(resolution,[status(thm)],[f145,f64]) ).

fof(f515,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | equalish(X0,e_2)
      | ~ product(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f145,f62]) ).

fof(f516,plain,
    ! [X0] :
      ( ~ sQ17_spl
      | product(X0,e_2,e_4)
      | ~ product(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f145,f69]) ).

fof(f517,plain,
    ( ~ sQ4_spl
    | ~ sQ16_spl
    | product(e_1,e_1,e_3) ),
    inference(resolution,[status(thm)],[f142,f394]) ).

fof(f518,plain,
    ( ~ sQ24_spl
    | ~ sQ16_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f142,f460]) ).

fof(f519,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f142,f66]) ).

fof(f520,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | equalish(X0,e_4)
      | ~ product(e_3,X0,e_1) ),
    inference(resolution,[status(thm)],[f142,f64]) ).

fof(f521,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | equalish(X0,e_1)
      | ~ product(e_3,e_4,X0) ),
    inference(resolution,[status(thm)],[f142,f62]) ).

fof(f522,plain,
    ! [X0] :
      ( ~ sQ16_spl
      | product(X0,e_1,e_4)
      | ~ product(e_4,e_3,X0) ),
    inference(resolution,[status(thm)],[f142,f69]) ).

fof(f523,plain,
    ( ~ sQ24_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f518,f58]) ).

fof(f524,plain,
    ( ~ sQ24_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f523]) ).

fof(f525,plain,
    ( ~ sQ31_spl
    | ~ sQ47_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f246,f403]) ).

fof(f526,plain,
    ! [X0] :
      ( ~ sQ47_spl
      | ~ greater(e_4,X0)
      | ~ next(e_2,X0) ),
    inference(resolution,[status(thm)],[f246,f43]) ).

fof(f527,plain,
    ! [X0] :
      ( ~ sQ47_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f246,f66]) ).

fof(f528,plain,
    ! [X0] :
      ( ~ sQ47_spl
      | equalish(X0,e_1)
      | ~ product(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f246,f64]) ).

fof(f529,plain,
    ! [X0] :
      ( ~ sQ47_spl
      | equalish(X0,e_4)
      | ~ product(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f246,f62]) ).

fof(f530,plain,
    ! [X0] :
      ( ~ sQ47_spl
      | product(X0,e_4,e_1)
      | ~ product(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f246,f69]) ).

fof(f531,plain,
    ( ~ sQ31_spl
    | ~ sQ47_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f525,f52]) ).

fof(f532,plain,
    ( ~ sQ31_spl
    | ~ sQ47_spl ),
    inference(contradiction_clause,[status(thm)],[f531]) ).

fof(f533,plain,
    ! [X0] :
      ( ~ sQ46_spl
      | ~ greater(e_3,X0)
      | ~ next(e_2,X0) ),
    inference(resolution,[status(thm)],[f243,f43]) ).

fof(f534,plain,
    ! [X0] :
      ( ~ sQ46_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f243,f66]) ).

fof(f535,plain,
    ! [X0] :
      ( ~ sQ46_spl
      | equalish(X0,e_1)
      | ~ product(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f243,f64]) ).

fof(f536,plain,
    ! [X0] :
      ( ~ sQ46_spl
      | equalish(X0,e_3)
      | ~ product(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f243,f62]) ).

fof(f537,plain,
    ! [X0] :
      ( ~ sQ46_spl
      | product(X0,e_3,e_1)
      | ~ product(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f243,f69]) ).

fof(f538,plain,
    ( ~ sQ13_spl
    | ~ sQ45_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f240,f325]) ).

fof(f539,plain,
    ! [X0] :
      ( ~ sQ45_spl
      | ~ greater(e_2,X0)
      | ~ next(e_2,X0) ),
    inference(resolution,[status(thm)],[f240,f43]) ).

fof(f540,plain,
    ( ~ sQ45_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f240,f74]) ).

fof(f541,plain,
    ! [X0] :
      ( ~ sQ45_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f240,f66]) ).

fof(f542,plain,
    ! [X0] :
      ( ~ sQ45_spl
      | equalish(X0,e_1)
      | ~ product(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f240,f64]) ).

fof(f543,plain,
    ! [X0] :
      ( ~ sQ45_spl
      | equalish(X0,e_2)
      | ~ product(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f240,f62]) ).

fof(f544,plain,
    ! [X0] :
      ( ~ sQ45_spl
      | product(X0,e_2,e_1)
      | ~ product(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f240,f69]) ).

fof(f545,plain,
    ( ~ sQ13_spl
    | ~ sQ45_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f538,f53]) ).

fof(f546,plain,
    ( ~ sQ13_spl
    | ~ sQ45_spl ),
    inference(contradiction_clause,[status(thm)],[f545]) ).

fof(f547,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | product(e_1,e_2,e_4) ),
    inference(resolution,[status(thm)],[f516,f99]) ).

fof(f548,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ sQ17_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f547,f66]) ).

fof(f549,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ sQ17_spl
      | equalish(X0,e_2)
      | ~ product(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f547,f64]) ).

fof(f550,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ sQ17_spl
      | equalish(X0,e_4)
      | ~ product(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f547,f62]) ).

fof(f551,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ sQ17_spl
      | product(X0,e_4,e_2)
      | ~ product(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f547,f69]) ).

fof(f564,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ44_spl
    | product(e_1,e_4,e_2) ),
    inference(resolution,[status(thm)],[f237,f551]) ).

fof(f565,plain,
    ! [X0] :
      ( ~ sQ44_spl
      | ~ greater(e_1,X0)
      | ~ next(e_2,X0) ),
    inference(resolution,[status(thm)],[f237,f43]) ).

fof(f566,plain,
    ( ~ sQ44_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f237,f75]) ).

fof(f567,plain,
    ! [X0] :
      ( ~ sQ44_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_1,e_1) ),
    inference(resolution,[status(thm)],[f237,f66]) ).

fof(f568,plain,
    ! [X0] :
      ( ~ sQ44_spl
      | equalish(X0,e_1)
      | ~ product(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f237,f64]) ).

fof(f569,plain,
    ! [X0] :
      ( ~ sQ44_spl
      | equalish(X0,e_1)
      | ~ product(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f237,f62]) ).

fof(f570,plain,
    ! [X0] :
      ( ~ sQ44_spl
      | product(X0,e_1,e_1)
      | ~ product(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f237,f69]) ).

fof(f573,plain,
    ( ~ sQ44_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f566,f51]) ).

fof(f574,plain,
    ~ sQ44_spl,
    inference(contradiction_clause,[status(thm)],[f573]) ).

fof(f576,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ sQ17_spl
      | ~ greater(e_3,X0)
      | ~ next(e_2,X0) ),
    inference(resolution,[status(thm)],[f512,f43]) ).

fof(f577,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ sQ17_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f512,f66]) ).

fof(f578,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ sQ17_spl
      | equalish(X0,e_1)
      | ~ product(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f512,f64]) ).

fof(f579,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ sQ17_spl
      | equalish(X0,e_3)
      | ~ product(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f512,f62]) ).

fof(f580,plain,
    ! [X0] :
      ( ~ sQ4_spl
      | ~ sQ17_spl
      | product(X0,e_3,e_1)
      | ~ product(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f512,f69]) ).

fof(f581,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ next(e_2,e_2) ),
    inference(resolution,[status(thm)],[f576,f39]) ).

fof(f582,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ next(e_2,e_1) ),
    inference(resolution,[status(thm)],[f576,f37]) ).

fof(f587,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ43_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f233,f548]) ).

fof(f588,plain,
    ! [X0] :
      ( ~ sQ43_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_2,e_4) ),
    inference(resolution,[status(thm)],[f233,f66]) ).

fof(f589,plain,
    ! [X0] :
      ( ~ sQ43_spl
      | equalish(X0,e_2)
      | ~ product(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f233,f64]) ).

fof(f590,plain,
    ( ~ sQ43_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f233,f72]) ).

fof(f591,plain,
    ! [X0] :
      ( ~ sQ43_spl
      | equalish(X0,e_4)
      | ~ product(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f233,f62]) ).

fof(f592,plain,
    ( ~ sQ43_spl
    | product(e_4,e_2,e_2) ),
    inference(resolution,[status(thm)],[f233,f70]) ).

fof(f593,plain,
    ! [X0] :
      ( ~ sQ43_spl
      | product(X0,e_4,e_2)
      | ~ product(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f233,f69]) ).

fof(f594,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ43_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f587,f51]) ).

fof(f595,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ43_spl ),
    inference(contradiction_clause,[status(thm)],[f594]) ).

fof(f596,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ42_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f230,f578]) ).

fof(f597,plain,
    ( ~ sQ10_spl
    | ~ sQ42_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f230,f346]) ).

fof(f598,plain,
    ! [X0] :
      ( ~ sQ42_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f230,f66]) ).

fof(f599,plain,
    ! [X0] :
      ( ~ sQ42_spl
      | equalish(X0,e_2)
      | ~ product(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f230,f64]) ).

fof(f600,plain,
    ( ~ sQ42_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f230,f72]) ).

fof(f601,plain,
    ! [X0] :
      ( ~ sQ42_spl
      | equalish(X0,e_3)
      | ~ product(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f230,f62]) ).

fof(f602,plain,
    ( ~ sQ42_spl
    | product(e_3,e_2,e_2) ),
    inference(resolution,[status(thm)],[f230,f70]) ).

fof(f603,plain,
    ! [X0] :
      ( ~ sQ42_spl
      | product(X0,e_3,e_2)
      | ~ product(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f230,f69]) ).

fof(f604,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ42_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f596,f51]) ).

fof(f605,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ42_spl ),
    inference(contradiction_clause,[status(thm)],[f604]) ).

fof(f606,plain,
    ( ~ sQ24_spl
    | ~ sQ40_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f224,f459]) ).

fof(f607,plain,
    ! [X0] :
      ( ~ sQ40_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f224,f66]) ).

fof(f608,plain,
    ! [X0] :
      ( ~ sQ40_spl
      | equalish(X0,e_2)
      | ~ product(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f224,f64]) ).

fof(f609,plain,
    ( ~ sQ40_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f224,f72]) ).

fof(f610,plain,
    ! [X0] :
      ( ~ sQ40_spl
      | equalish(X0,e_1)
      | ~ product(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f224,f62]) ).

fof(f611,plain,
    ( ~ sQ40_spl
    | product(e_1,e_2,e_2) ),
    inference(resolution,[status(thm)],[f224,f70]) ).

fof(f612,plain,
    ! [X0] :
      ( ~ sQ40_spl
      | product(X0,e_1,e_2)
      | ~ product(e_2,e_2,X0) ),
    inference(resolution,[status(thm)],[f224,f69]) ).

fof(f613,plain,
    ( ~ sQ24_spl
    | ~ sQ40_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f606,f52]) ).

fof(f614,plain,
    ( ~ sQ24_spl
    | ~ sQ40_spl ),
    inference(contradiction_clause,[status(thm)],[f613]) ).

fof(f615,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | product(e_4,e_1,e_2) ),
    inference(resolution,[status(thm)],[f220,f462]) ).

fof(f616,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f220,f66]) ).

fof(f617,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | equalish(X0,e_3)
      | ~ product(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f220,f64]) ).

fof(f618,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | equalish(X0,e_4)
      | ~ product(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f220,f62]) ).

fof(f619,plain,
    ! [X0] :
      ( ~ sQ39_spl
      | product(X0,e_4,e_3)
      | ~ product(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f220,f69]) ).

fof(f620,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | product(e_1,e_4,e_3) ),
    inference(resolution,[status(thm)],[f619,f168]) ).

fof(f624,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | ~ greater(e_2,X0)
      | ~ next(e_4,X0) ),
    inference(resolution,[status(thm)],[f615,f43]) ).

fof(f625,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f615,f66]) ).

fof(f626,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_1)
      | ~ product(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f615,f64]) ).

fof(f627,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_2)
      | ~ product(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f615,f62]) ).

fof(f628,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | product(X0,e_2,e_1)
      | ~ product(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f615,f69]) ).

fof(f630,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f620,f66]) ).

fof(f631,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_4)
      | ~ product(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f620,f64]) ).

fof(f632,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_3)
      | ~ product(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f620,f62]) ).

fof(f633,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | product(X0,e_3,e_4)
      | ~ product(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f620,f69]) ).

fof(f634,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ next(e_4,e_1) ),
    inference(resolution,[status(thm)],[f624,f36]) ).

fof(f642,plain,
    ( ~ sQ39_spl
    | ~ sQ38_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f217,f618]) ).

fof(f643,plain,
    ( ~ sQ24_spl
    | ~ sQ38_spl
    | product(e_3,e_1,e_2) ),
    inference(resolution,[status(thm)],[f217,f462]) ).

fof(f644,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ38_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f217,f578]) ).

fof(f645,plain,
    ( ~ sQ38_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f217,f75]) ).

fof(f646,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f217,f66]) ).

fof(f647,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | equalish(X0,e_3)
      | ~ product(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f217,f64]) ).

fof(f648,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | equalish(X0,e_3)
      | ~ product(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f217,f62]) ).

fof(f649,plain,
    ! [X0] :
      ( ~ sQ38_spl
      | product(X0,e_3,e_3)
      | ~ product(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f217,f69]) ).

fof(f650,plain,
    ( ~ sQ39_spl
    | ~ sQ38_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f642,f56]) ).

fof(f651,plain,
    ( ~ sQ39_spl
    | ~ sQ38_spl ),
    inference(contradiction_clause,[status(thm)],[f650]) ).

fof(f653,plain,
    ( ~ sQ37_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f214,f74]) ).

fof(f654,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f214,f66]) ).

fof(f655,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | equalish(X0,e_3)
      | ~ product(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f214,f64]) ).

fof(f656,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | equalish(X0,e_2)
      | ~ product(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f214,f62]) ).

fof(f657,plain,
    ! [X0] :
      ( ~ sQ37_spl
      | product(X0,e_2,e_3)
      | ~ product(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f214,f69]) ).

fof(f659,plain,
    ( ~ sQ37_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f653,f55]) ).

fof(f660,plain,
    ~ sQ37_spl,
    inference(contradiction_clause,[status(thm)],[f659]) ).

fof(f661,plain,
    ( ~ sQ24_spl
    | ~ sQ36_spl
    | product(e_1,e_1,e_2) ),
    inference(resolution,[status(thm)],[f211,f462]) ).

fof(f662,plain,
    ( ~ sQ4_spl
    | ~ sQ36_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f211,f391]) ).

fof(f663,plain,
    ! [X0] :
      ( ~ sQ36_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f211,f66]) ).

fof(f664,plain,
    ! [X0] :
      ( ~ sQ36_spl
      | equalish(X0,e_3)
      | ~ product(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f211,f64]) ).

fof(f665,plain,
    ! [X0] :
      ( ~ sQ36_spl
      | equalish(X0,e_1)
      | ~ product(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f211,f62]) ).

fof(f666,plain,
    ! [X0] :
      ( ~ sQ36_spl
      | product(X0,e_1,e_3)
      | ~ product(e_3,e_2,X0) ),
    inference(resolution,[status(thm)],[f211,f69]) ).

fof(f667,plain,
    ( ~ sQ4_spl
    | ~ sQ36_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f662,f53]) ).

fof(f668,plain,
    ( ~ sQ4_spl
    | ~ sQ36_spl ),
    inference(contradiction_clause,[status(thm)],[f667]) ).

fof(f669,plain,
    ( ~ sQ24_spl
    | ~ sQ38_spl
    | sQ29_spl ),
    inference(split_clause,[status(thm)],[f643,f183,f216,f167]) ).

fof(f670,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ38_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f644,f54]) ).

fof(f671,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ38_spl ),
    inference(contradiction_clause,[status(thm)],[f670]) ).

fof(f676,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_4)
      | ~ product(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f615,f66]) ).

fof(f677,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_1)
      | ~ product(e_4,X0,e_2) ),
    inference(resolution,[status(thm)],[f615,f64]) ).

fof(f678,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_2)
      | ~ product(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f615,f62]) ).

fof(f679,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | product(X0,e_2,e_1)
      | ~ product(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f615,f69]) ).

fof(f690,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | product(e_2,e_3,e_4) ),
    inference(resolution,[status(thm)],[f633,f615]) ).

fof(f692,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f690,f66]) ).

fof(f693,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_3)
      | ~ product(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f690,f64]) ).

fof(f694,plain,
    ! [X0] :
      ( ~ sQ24_spl
      | ~ sQ39_spl
      | equalish(X0,e_4)
      | ~ product(e_2,e_3,X0) ),
    inference(resolution,[status(thm)],[f690,f62]) ).

fof(f699,plain,
    ( ~ sQ10_spl
    | ~ sQ35_spl
    | product(e_4,e_3,e_2) ),
    inference(resolution,[status(thm)],[f207,f349]) ).

fof(f700,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ35_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f207,f693]) ).

fof(f701,plain,
    ( ~ sQ35_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f207,f75]) ).

fof(f702,plain,
    ! [X0] :
      ( ~ sQ35_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f207,f66]) ).

fof(f703,plain,
    ! [X0] :
      ( ~ sQ35_spl
      | equalish(X0,e_4)
      | ~ product(e_2,X0,e_4) ),
    inference(resolution,[status(thm)],[f207,f64]) ).

fof(f704,plain,
    ! [X0] :
      ( ~ sQ35_spl
      | equalish(X0,e_4)
      | ~ product(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f207,f62]) ).

fof(f705,plain,
    ! [X0] :
      ( ~ sQ35_spl
      | product(X0,e_4,e_4)
      | ~ product(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f207,f69]) ).

fof(f706,plain,
    ( ~ sQ10_spl
    | ~ sQ35_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f699,f101,f206,f117]) ).

fof(f707,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ35_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f700,f59]) ).

fof(f708,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ35_spl ),
    inference(contradiction_clause,[status(thm)],[f707]) ).

fof(f709,plain,
    ( ~ sQ10_spl
    | ~ sQ34_spl
    | product(e_3,e_3,e_2) ),
    inference(resolution,[status(thm)],[f204,f349]) ).

fof(f710,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ34_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f204,f578]) ).

fof(f711,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ34_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f204,f630]) ).

fof(f712,plain,
    ! [X0] :
      ( ~ sQ34_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_4,e_3) ),
    inference(resolution,[status(thm)],[f204,f66]) ).

fof(f713,plain,
    ! [X0] :
      ( ~ sQ34_spl
      | equalish(X0,e_4)
      | ~ product(e_2,X0,e_3) ),
    inference(resolution,[status(thm)],[f204,f64]) ).

fof(f714,plain,
    ! [X0] :
      ( ~ sQ34_spl
      | equalish(X0,e_3)
      | ~ product(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f204,f62]) ).

fof(f715,plain,
    ! [X0] :
      ( ~ sQ34_spl
      | product(X0,e_3,e_4)
      | ~ product(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f204,f69]) ).

fof(f716,plain,
    ( ~ sQ10_spl
    | ~ sQ34_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f709,f157,f203,f117]) ).

fof(f717,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ34_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f710,f57]) ).

fof(f718,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ34_spl ),
    inference(contradiction_clause,[status(thm)],[f717]) ).

fof(f719,plain,
    ( ~ sQ10_spl
    | ~ sQ33_spl
    | product(e_2,e_3,e_2) ),
    inference(resolution,[status(thm)],[f201,f349]) ).

fof(f720,plain,
    ( ~ sQ17_spl
    | ~ sQ33_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f201,f513]) ).

fof(f721,plain,
    ( ~ sQ33_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f201,f74]) ).

fof(f722,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f201,f66]) ).

fof(f723,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | equalish(X0,e_4)
      | ~ product(e_2,X0,e_2) ),
    inference(resolution,[status(thm)],[f201,f64]) ).

fof(f724,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | equalish(X0,e_2)
      | ~ product(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f201,f62]) ).

fof(f725,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | product(X0,e_2,e_4)
      | ~ product(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f201,f69]) ).

fof(f726,plain,
    ( ~ sQ10_spl
    | ~ sQ33_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f719,f213,f200,f117]) ).

fof(f727,plain,
    ( ~ sQ17_spl
    | ~ sQ33_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f720,f52]) ).

fof(f728,plain,
    ( ~ sQ17_spl
    | ~ sQ33_spl ),
    inference(contradiction_clause,[status(thm)],[f727]) ).

fof(f729,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | product(e_1,e_3,e_2) ),
    inference(resolution,[status(thm)],[f198,f349]) ).

fof(f730,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | equalish(X0,e_2)
      | ~ product(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f198,f66]) ).

fof(f731,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | equalish(X0,e_4)
      | ~ product(e_2,X0,e_1) ),
    inference(resolution,[status(thm)],[f198,f64]) ).

fof(f732,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | equalish(X0,e_1)
      | ~ product(e_2,e_4,X0) ),
    inference(resolution,[status(thm)],[f198,f62]) ).

fof(f733,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | product(X0,e_1,e_4)
      | ~ product(e_4,e_2,X0) ),
    inference(resolution,[status(thm)],[f198,f69]) ).

fof(f735,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | ~ sQ32_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_3,e_2) ),
    inference(resolution,[status(thm)],[f729,f66]) ).

fof(f736,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | ~ sQ32_spl
      | equalish(X0,e_3)
      | ~ product(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f729,f64]) ).

fof(f737,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | ~ sQ32_spl
      | equalish(X0,e_2)
      | ~ product(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f729,f62]) ).

fof(f738,plain,
    ! [X0] :
      ( ~ sQ10_spl
      | ~ sQ32_spl
      | product(X0,e_2,e_3)
      | ~ product(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f729,f69]) ).

fof(f745,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ63_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f302,f549]) ).

fof(f746,plain,
    ( ~ sQ31_spl
    | ~ sQ63_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f302,f403]) ).

fof(f747,plain,
    ! [X0] :
      ( ~ sQ63_spl
      | ~ greater(e_4,X0)
      | ~ next(e_1,X0) ),
    inference(resolution,[status(thm)],[f302,f43]) ).

fof(f748,plain,
    ! [X0] :
      ( ~ sQ63_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f302,f66]) ).

fof(f749,plain,
    ! [X0] :
      ( ~ sQ63_spl
      | equalish(X0,e_1)
      | ~ product(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f302,f64]) ).

fof(f750,plain,
    ( ~ sQ63_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f302,f72]) ).

fof(f751,plain,
    ! [X0] :
      ( ~ sQ63_spl
      | equalish(X0,e_4)
      | ~ product(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f302,f62]) ).

fof(f752,plain,
    ( ~ sQ63_spl
    | product(e_4,e_1,e_1) ),
    inference(resolution,[status(thm)],[f302,f70]) ).

fof(f753,plain,
    ! [X0] :
      ( ~ sQ63_spl
      | product(X0,e_4,e_1)
      | ~ product(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f302,f69]) ).

fof(f754,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ63_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f745,f48]) ).

fof(f755,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ63_spl ),
    inference(contradiction_clause,[status(thm)],[f754]) ).

fof(f756,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ62_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f299,f631]) ).

fof(f757,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ62_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f299,f577]) ).

fof(f758,plain,
    ! [X0] :
      ( ~ sQ62_spl
      | ~ greater(e_3,X0)
      | ~ next(e_1,X0) ),
    inference(resolution,[status(thm)],[f299,f43]) ).

fof(f759,plain,
    ! [X0] :
      ( ~ sQ62_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_1,e_3) ),
    inference(resolution,[status(thm)],[f299,f66]) ).

fof(f760,plain,
    ! [X0] :
      ( ~ sQ62_spl
      | equalish(X0,e_1)
      | ~ product(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f299,f64]) ).

fof(f761,plain,
    ( ~ sQ62_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f299,f72]) ).

fof(f762,plain,
    ! [X0] :
      ( ~ sQ62_spl
      | equalish(X0,e_3)
      | ~ product(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f299,f62]) ).

fof(f763,plain,
    ( ~ sQ62_spl
    | product(e_3,e_1,e_1) ),
    inference(resolution,[status(thm)],[f299,f70]) ).

fof(f764,plain,
    ! [X0] :
      ( ~ sQ62_spl
      | product(X0,e_3,e_1)
      | ~ product(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f299,f69]) ).

fof(f765,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ62_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f756,f50]) ).

fof(f766,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ62_spl ),
    inference(contradiction_clause,[status(thm)],[f765]) ).

fof(f767,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ61_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f296,f736]) ).

fof(f768,plain,
    ( ~ sQ13_spl
    | ~ sQ61_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f296,f325]) ).

fof(f769,plain,
    ! [X0] :
      ( ~ sQ61_spl
      | ~ greater(e_2,X0)
      | ~ next(e_1,X0) ),
    inference(resolution,[status(thm)],[f296,f43]) ).

fof(f770,plain,
    ! [X0] :
      ( ~ sQ61_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_1,e_2) ),
    inference(resolution,[status(thm)],[f296,f66]) ).

fof(f771,plain,
    ! [X0] :
      ( ~ sQ61_spl
      | equalish(X0,e_1)
      | ~ product(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f296,f64]) ).

fof(f772,plain,
    ( ~ sQ61_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f296,f72]) ).

fof(f773,plain,
    ! [X0] :
      ( ~ sQ61_spl
      | equalish(X0,e_2)
      | ~ product(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f296,f62]) ).

fof(f774,plain,
    ( ~ sQ61_spl
    | product(e_2,e_1,e_1) ),
    inference(resolution,[status(thm)],[f296,f70]) ).

fof(f775,plain,
    ! [X0] :
      ( ~ sQ61_spl
      | product(X0,e_2,e_1)
      | ~ product(e_1,e_1,X0) ),
    inference(resolution,[status(thm)],[f296,f69]) ).

fof(f776,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ61_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f767,f49]) ).

fof(f777,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ61_spl ),
    inference(contradiction_clause,[status(thm)],[f776]) ).

fof(f778,plain,
    ( ~ sQ46_spl
    | ~ sQ58_spl
    | product(e_3,e_3,e_1) ),
    inference(resolution,[status(thm)],[f286,f537]) ).

fof(f779,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ58_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f286,f550]) ).

fof(f780,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ58_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f286,f631]) ).

fof(f781,plain,
    ( ~ sQ10_spl
    | ~ sQ58_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f286,f346]) ).

fof(f782,plain,
    ! [X0] :
      ( ~ sQ58_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_2,e_3) ),
    inference(resolution,[status(thm)],[f286,f66]) ).

fof(f783,plain,
    ! [X0] :
      ( ~ sQ58_spl
      | equalish(X0,e_2)
      | ~ product(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f286,f64]) ).

fof(f784,plain,
    ! [X0] :
      ( ~ sQ58_spl
      | equalish(X0,e_3)
      | ~ product(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f286,f62]) ).

fof(f785,plain,
    ! [X0] :
      ( ~ sQ58_spl
      | product(X0,e_3,e_2)
      | ~ product(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f286,f69]) ).

fof(f786,plain,
    ( ~ sQ46_spl
    | ~ sQ58_spl
    | sQ20_spl ),
    inference(split_clause,[status(thm)],[f778,f154,f285,f242]) ).

fof(f787,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ58_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f779,f56]) ).

fof(f788,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ58_spl ),
    inference(contradiction_clause,[status(thm)],[f787]) ).

fof(f789,plain,
    ( ~ sQ46_spl
    | ~ sQ57_spl
    | product(e_2,e_3,e_1) ),
    inference(resolution,[status(thm)],[f283,f537]) ).

fof(f790,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ57_spl
    | equalish(e_2,e_4) ),
    inference(resolution,[status(thm)],[f283,f550]) ).

fof(f791,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ57_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f283,f736]) ).

fof(f792,plain,
    ( ~ sQ57_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f283,f75]) ).

fof(f793,plain,
    ! [X0] :
      ( ~ sQ57_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_2,e_2) ),
    inference(resolution,[status(thm)],[f283,f66]) ).

fof(f794,plain,
    ! [X0] :
      ( ~ sQ57_spl
      | equalish(X0,e_2)
      | ~ product(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f283,f64]) ).

fof(f795,plain,
    ! [X0] :
      ( ~ sQ57_spl
      | equalish(X0,e_2)
      | ~ product(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f283,f62]) ).

fof(f796,plain,
    ! [X0] :
      ( ~ sQ57_spl
      | product(X0,e_2,e_2)
      | ~ product(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f283,f69]) ).

fof(f797,plain,
    ( ~ sQ46_spl
    | ~ sQ57_spl
    | sQ36_spl ),
    inference(split_clause,[status(thm)],[f789,f210,f282,f242]) ).

fof(f798,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ57_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f790,f53]) ).

fof(f799,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ57_spl ),
    inference(contradiction_clause,[status(thm)],[f798]) ).

fof(f800,plain,
    ( ~ sQ46_spl
    | ~ sQ56_spl
    | product(e_1,e_3,e_1) ),
    inference(resolution,[status(thm)],[f280,f537]) ).

fof(f801,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ56_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f280,f550]) ).

fof(f802,plain,
    ( ~ sQ24_spl
    | ~ sQ56_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f280,f459]) ).

fof(f803,plain,
    ( ~ sQ56_spl
    | equalish(e_2,e_1) ),
    inference(resolution,[status(thm)],[f280,f74]) ).

fof(f804,plain,
    ! [X0] :
      ( ~ sQ56_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_2,e_1) ),
    inference(resolution,[status(thm)],[f280,f66]) ).

fof(f805,plain,
    ! [X0] :
      ( ~ sQ56_spl
      | equalish(X0,e_2)
      | ~ product(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f280,f64]) ).

fof(f806,plain,
    ! [X0] :
      ( ~ sQ56_spl
      | equalish(X0,e_1)
      | ~ product(e_1,e_2,X0) ),
    inference(resolution,[status(thm)],[f280,f62]) ).

fof(f807,plain,
    ! [X0] :
      ( ~ sQ56_spl
      | product(X0,e_1,e_2)
      | ~ product(e_2,e_1,X0) ),
    inference(resolution,[status(thm)],[f280,f69]) ).

fof(f808,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ56_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f801,f50]) ).

fof(f809,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ56_spl ),
    inference(contradiction_clause,[status(thm)],[f808]) ).

fof(f810,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ55_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f276,f737]) ).

fof(f811,plain,
    ( ~ sQ31_spl
    | ~ sQ55_spl
    | product(e_4,e_4,e_1) ),
    inference(resolution,[status(thm)],[f276,f406]) ).

fof(f812,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ55_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f276,f549]) ).

fof(f813,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ55_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f276,f692]) ).

fof(f814,plain,
    ! [X0] :
      ( ~ sQ55_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_3,e_4) ),
    inference(resolution,[status(thm)],[f276,f66]) ).

fof(f815,plain,
    ! [X0] :
      ( ~ sQ55_spl
      | equalish(X0,e_3)
      | ~ product(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f276,f64]) ).

fof(f816,plain,
    ! [X0] :
      ( ~ sQ55_spl
      | equalish(X0,e_4)
      | ~ product(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f276,f62]) ).

fof(f817,plain,
    ! [X0] :
      ( ~ sQ55_spl
      | product(X0,e_4,e_3)
      | ~ product(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f276,f69]) ).

fof(f818,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ55_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f810,f58]) ).

fof(f819,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ55_spl ),
    inference(contradiction_clause,[status(thm)],[f818]) ).

fof(f820,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ54_spl
    | equalish(e_3,e_2) ),
    inference(resolution,[status(thm)],[f273,f737]) ).

fof(f821,plain,
    ( ~ sQ31_spl
    | ~ sQ54_spl
    | product(e_3,e_4,e_1) ),
    inference(resolution,[status(thm)],[f273,f406]) ).

fof(f822,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ54_spl
    | equalish(e_3,e_4) ),
    inference(resolution,[status(thm)],[f273,f631]) ).

fof(f823,plain,
    ( ~ sQ54_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f273,f75]) ).

fof(f824,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_3,e_3) ),
    inference(resolution,[status(thm)],[f273,f66]) ).

fof(f825,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | equalish(X0,e_3)
      | ~ product(e_1,X0,e_3) ),
    inference(resolution,[status(thm)],[f273,f64]) ).

fof(f826,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | equalish(X0,e_3)
      | ~ product(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f273,f62]) ).

fof(f827,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | product(X0,e_3,e_3)
      | ~ product(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f273,f69]) ).

fof(f828,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ54_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f820,f55]) ).

fof(f829,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ54_spl ),
    inference(contradiction_clause,[status(thm)],[f828]) ).

fof(f830,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ52_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f267,f737]) ).

fof(f831,plain,
    ( ~ sQ31_spl
    | ~ sQ52_spl
    | product(e_1,e_4,e_1) ),
    inference(resolution,[status(thm)],[f267,f406]) ).

fof(f832,plain,
    ( ~ sQ4_spl
    | ~ sQ52_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f267,f391]) ).

fof(f833,plain,
    ( ~ sQ52_spl
    | equalish(e_3,e_1) ),
    inference(resolution,[status(thm)],[f267,f74]) ).

fof(f834,plain,
    ! [X0] :
      ( ~ sQ52_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_3,e_1) ),
    inference(resolution,[status(thm)],[f267,f66]) ).

fof(f835,plain,
    ! [X0] :
      ( ~ sQ52_spl
      | equalish(X0,e_3)
      | ~ product(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f267,f64]) ).

fof(f836,plain,
    ! [X0] :
      ( ~ sQ52_spl
      | equalish(X0,e_1)
      | ~ product(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f267,f62]) ).

fof(f837,plain,
    ! [X0] :
      ( ~ sQ52_spl
      | product(X0,e_1,e_3)
      | ~ product(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f267,f69]) ).

fof(f838,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ52_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f830,f48]) ).

fof(f839,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ52_spl ),
    inference(contradiction_clause,[status(thm)],[f838]) ).

fof(f840,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ51_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f263,f632]) ).

fof(f841,plain,
    ( ~ sQ13_spl
    | ~ sQ51_spl
    | product(e_4,e_2,e_1) ),
    inference(resolution,[status(thm)],[f263,f328]) ).

fof(f842,plain,
    ( ~ sQ4_spl
    | ~ sQ17_spl
    | ~ sQ51_spl
    | equalish(e_4,e_2) ),
    inference(resolution,[status(thm)],[f263,f549]) ).

fof(f843,plain,
    ( ~ sQ51_spl
    | equalish(e_1,e_4) ),
    inference(resolution,[status(thm)],[f263,f75]) ).

fof(f844,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_4,e_4) ),
    inference(resolution,[status(thm)],[f263,f66]) ).

fof(f845,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | equalish(X0,e_4)
      | ~ product(e_1,X0,e_4) ),
    inference(resolution,[status(thm)],[f263,f64]) ).

fof(f846,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | equalish(X0,e_4)
      | ~ product(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f263,f62]) ).

fof(f847,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | product(X0,e_4,e_4)
      | ~ product(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f263,f69]) ).

fof(f848,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ51_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f840,f59]) ).

fof(f849,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ51_spl ),
    inference(contradiction_clause,[status(thm)],[f848]) ).

fof(f850,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ49_spl
    | equalish(e_2,e_3) ),
    inference(resolution,[status(thm)],[f257,f632]) ).

fof(f851,plain,
    ( ~ sQ13_spl
    | ~ sQ49_spl
    | product(e_2,e_2,e_1) ),
    inference(resolution,[status(thm)],[f257,f328]) ).

fof(f852,plain,
    ( ~ sQ10_spl
    | ~ sQ32_spl
    | ~ sQ49_spl
    | equalish(e_4,e_3) ),
    inference(resolution,[status(thm)],[f257,f736]) ).

fof(f853,plain,
    ( ~ sQ17_spl
    | ~ sQ49_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f257,f513]) ).

fof(f854,plain,
    ! [X0] :
      ( ~ sQ49_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_4,e_2) ),
    inference(resolution,[status(thm)],[f257,f66]) ).

fof(f855,plain,
    ! [X0] :
      ( ~ sQ49_spl
      | equalish(X0,e_4)
      | ~ product(e_1,X0,e_2) ),
    inference(resolution,[status(thm)],[f257,f64]) ).

fof(f856,plain,
    ! [X0] :
      ( ~ sQ49_spl
      | equalish(X0,e_2)
      | ~ product(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f257,f62]) ).

fof(f857,plain,
    ! [X0] :
      ( ~ sQ49_spl
      | product(X0,e_2,e_4)
      | ~ product(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f257,f69]) ).

fof(f858,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ49_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f850,f52]) ).

fof(f859,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ49_spl ),
    inference(contradiction_clause,[status(thm)],[f858]) ).

fof(f860,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ48_spl
    | equalish(e_1,e_3) ),
    inference(resolution,[status(thm)],[f254,f632]) ).

fof(f861,plain,
    ( ~ sQ13_spl
    | ~ sQ48_spl
    | product(e_1,e_2,e_1) ),
    inference(resolution,[status(thm)],[f254,f328]) ).

fof(f862,plain,
    ( ~ sQ32_spl
    | ~ sQ48_spl
    | equalish(e_1,e_2) ),
    inference(resolution,[status(thm)],[f254,f730]) ).

fof(f863,plain,
    ( ~ sQ48_spl
    | equalish(e_4,e_1) ),
    inference(resolution,[status(thm)],[f254,f74]) ).

fof(f864,plain,
    ! [X0] :
      ( ~ sQ48_spl
      | equalish(X0,e_1)
      | ~ product(X0,e_4,e_1) ),
    inference(resolution,[status(thm)],[f254,f66]) ).

fof(f865,plain,
    ! [X0] :
      ( ~ sQ48_spl
      | equalish(X0,e_4)
      | ~ product(e_1,X0,e_1) ),
    inference(resolution,[status(thm)],[f254,f64]) ).

fof(f866,plain,
    ! [X0] :
      ( ~ sQ48_spl
      | equalish(X0,e_1)
      | ~ product(e_1,e_4,X0) ),
    inference(resolution,[status(thm)],[f254,f62]) ).

fof(f867,plain,
    ! [X0] :
      ( ~ sQ48_spl
      | product(X0,e_1,e_4)
      | ~ product(e_4,e_1,X0) ),
    inference(resolution,[status(thm)],[f254,f69]) ).

fof(f868,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ48_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f860,f49]) ).

fof(f869,plain,
    ( ~ sQ24_spl
    | ~ sQ39_spl
    | ~ sQ48_spl ),
    inference(contradiction_clause,[status(thm)],[f868]) ).

fof(f870,plain,
    ( ~ sQ32_spl
    | ~ sQ10_spl
    | product(e_3,e_1,e_4) ),
    inference(resolution,[status(thm)],[f118,f733]) ).

fof(f882,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | ~ sQ10_spl
      | ~ greater(e_4,X0)
      | ~ next(e_3,X0) ),
    inference(resolution,[status(thm)],[f870,f43]) ).

fof(f883,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | ~ sQ10_spl
      | equalish(X0,e_3)
      | ~ product(X0,e_1,e_4) ),
    inference(resolution,[status(thm)],[f870,f66]) ).

fof(f884,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | ~ sQ10_spl
      | equalish(X0,e_1)
      | ~ product(e_3,X0,e_4) ),
    inference(resolution,[status(thm)],[f870,f64]) ).

fof(f885,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | ~ sQ10_spl
      | equalish(X0,e_4)
      | ~ product(e_3,e_1,X0) ),
    inference(resolution,[status(thm)],[f870,f62]) ).

fof(f886,plain,
    ! [X0] :
      ( ~ sQ32_spl
      | ~ sQ10_spl
      | product(X0,e_4,e_1)
      | ~ product(e_1,e_3,X0) ),
    inference(resolution,[status(thm)],[f870,f69]) ).

fof(f887,plain,
    ( ~ sQ32_spl
    | ~ sQ10_spl
    | ~ next(e_3,e_3) ),
    inference(resolution,[status(thm)],[f882,f41]) ).

fof(f888,plain,
    ( ~ sQ32_spl
    | ~ sQ10_spl
    | ~ next(e_3,e_2) ),
    inference(resolution,[status(thm)],[f882,f40]) ).

fof(f889,plain,
    ( ~ sQ32_spl
    | ~ sQ10_spl
    | ~ next(e_3,e_1) ),
    inference(resolution,[status(thm)],[f882,f38]) ).

fof(model,axiom,
    ( sQ3_spl
    | sQ4_spl
    | ~ sQ5_spl
    | ~ sQ6_spl
    | ~ sQ7_spl
    | ~ sQ8_spl
    | ~ sQ9_spl
    | sQ10_spl
    | ~ sQ11_spl
    | ~ sQ12_spl
    | sQ13_spl
    | ~ sQ14_spl
    | ~ sQ15_spl
    | ~ sQ16_spl
    | sQ17_spl
    | ~ sQ18_spl
    | ~ sQ19_spl
    | ~ sQ20_spl
    | ~ sQ21_spl
    | sQ22_spl
    | ~ sQ23_spl
    | sQ24_spl
    | ~ sQ25_spl
    | ~ sQ26_spl
    | ~ sQ27_spl
    | ~ sQ28_spl
    | ~ sQ29_spl
    | ~ sQ30_spl
    | sQ31_spl
    | sQ32_spl
    | ~ sQ33_spl
    | ~ sQ34_spl
    | ~ sQ35_spl
    | ~ sQ36_spl
    | ~ sQ37_spl
    | ~ sQ38_spl
    | sQ39_spl
    | ~ sQ40_spl
    | sQ41_spl
    | ~ sQ42_spl
    | ~ sQ43_spl
    | ~ sQ44_spl
    | ~ sQ45_spl
    | sQ46_spl
    | ~ sQ47_spl
    | ~ sQ48_spl
    | ~ sQ49_spl
    | sQ50_spl
    | ~ sQ51_spl
    | ~ sQ52_spl
    | sQ53_spl
    | ~ sQ54_spl
    | ~ sQ55_spl
    | ~ sQ56_spl
    | ~ sQ57_spl
    | ~ sQ58_spl
    | sQ59_spl
    | sQ60_spl
    | ~ sQ61_spl
    | ~ sQ62_spl
    | ~ sQ63_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP125-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43  % Computer : n002.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Sun Sep 20 20:01:47 UTC 2026
% 0.16/0.44  % CPUTime  : 
% 0.16/0.45  % Drodi V4.1.1
% 0.16/0.48  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.16/0.48  % SZS output start Saturation for theBenchmark
% See solution above
% 0.16/0.53  % Elapsed time: 0.083403 seconds
% 0.16/0.53  % CPU time: 0.218016 seconds
% 0.16/0.53  % Total memory used: 10.437 MB
% 0.16/0.53  % Net memory used: 10.354 MB
%------------------------------------------------------------------------------