%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP133-2.004 : 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 : n016.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 12:36:02 PM UTC 2026
% Result : Satisfiable 1.43s 0.75s
% Output : Saturation 1.43s
% 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,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(f32,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f34,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f37,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f38,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f39,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f40,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
! [Y,X1] :
( ~ greater(Y,X1)
| ! [X] :
( ~ next(X,X1)
| ~ product(X,e_1,Y) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f44,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f45,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f46,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f47,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f48,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f49,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f50,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f51,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f52,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f53,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f54,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f55,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f56,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f57,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f58,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f59,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(f60,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [X,Z1,Z2] :
( product(Z1,Z2,X)
| ! [Y] :
( ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( product(X2,X3,X0)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,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)],[f59,f46]) ).
fof(f69,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)],[f59,f45]) ).
fof(f70,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)],[f59,f44]) ).
fof(f71,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)],[f59,f43]) ).
fof(f72,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)],[f68,f46]) ).
fof(f73,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)],[f68,f45]) ).
fof(f74,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)],[f68,f44]) ).
fof(f75,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)],[f68,f43]) ).
fof(f76,definition,
( sQ0_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ0_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f78,plain,
( sQ0_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,definition,
( sQ1_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f80,plain,
( ~ sQ1_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f81,plain,
( sQ1_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,definition,
( sQ2_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ2_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( sQ2_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,definition,
( sQ3_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ3_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( sQ3_spl
| ~ product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f76,f79,f82,f85]) ).
fof(f89,definition,
( sQ4_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ4_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f91,plain,
( sQ4_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,definition,
( sQ5_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ5_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f94,plain,
( sQ5_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,definition,
( sQ6_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ6_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f97,plain,
( sQ6_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ7_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ7_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( sQ7_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f73,f89,f92,f95,f98]) ).
fof(f102,definition,
( sQ8_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ8_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( sQ8_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ9_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ9_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( sQ9_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ10_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ10_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f110,plain,
( sQ10_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ11_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ11_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f113,plain,
( sQ11_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f74,f102,f105,f108,f111]) ).
fof(f115,definition,
( sQ12_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ12_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f117,plain,
( sQ12_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ13_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ13_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ13_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ14_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ14_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ14_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ15_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ15_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ15_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f75,f115,f118,f121,f124]) ).
fof(f128,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)],[f69,f46]) ).
fof(f129,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)],[f69,f45]) ).
fof(f130,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)],[f69,f44]) ).
fof(f131,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)],[f69,f43]) ).
fof(f132,definition,
( sQ16_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ16_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f134,plain,
( sQ16_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ17_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ17_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f137,plain,
( sQ17_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ18_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ18_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f140,plain,
( sQ18_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ19_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ19_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( sQ19_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f128,f132,f135,f138,f141]) ).
fof(f145,definition,
( sQ20_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ20_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ20_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,definition,
( sQ21_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ21_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( sQ21_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,definition,
( sQ22_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( sQ22_spl
| ~ product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,definition,
( sQ23_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ23_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f156,plain,
( sQ23_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f129,f145,f148,f151,f154]) ).
fof(f158,definition,
( sQ24_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ24_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( sQ24_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
( sQ25_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ25_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f163,plain,
( sQ25_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
( sQ26_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ26_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ26_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ27_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ27_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f169,plain,
( sQ27_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f130,f158,f161,f164,f167]) ).
fof(f171,definition,
( sQ28_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ28_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f173,plain,
( sQ28_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,definition,
( sQ29_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ29_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f176,plain,
( sQ29_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ30_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ30_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ30_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ31_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ31_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ31_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f131,f171,f174,f177,f180]) ).
fof(f184,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)],[f70,f46]) ).
fof(f185,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)],[f70,f45]) ).
fof(f186,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)],[f70,f44]) ).
fof(f187,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)],[f70,f43]) ).
fof(f188,definition,
( sQ32_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ32_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ32_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ33_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ33_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ33_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ34_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ34_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f196,plain,
( sQ34_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ35_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ35_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( sQ35_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f184,f188,f191,f194,f197]) ).
fof(f201,definition,
( sQ36_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ36_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f203,plain,
( sQ36_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
( sQ37_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ37_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( sQ37_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ38_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ38_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ38_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ39_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ39_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ39_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f185,f201,f204,f207,f210]) ).
fof(f214,definition,
( sQ40_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ40_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( sQ40_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ41_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ41_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ41_spl
| ~ product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
( sQ42_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ42_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f222,plain,
( sQ42_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,definition,
( sQ43_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ43_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f225,plain,
( sQ43_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f186,f214,f217,f220,f223]) ).
fof(f227,definition,
( sQ44_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ44_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ44_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ45_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ45_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ45_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ46_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ46_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ46_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ47_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ47_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ47_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f187,f227,f230,f233,f236]) ).
fof(f240,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)],[f71,f46]) ).
fof(f241,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)],[f71,f45]) ).
fof(f242,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)],[f71,f44]) ).
fof(f243,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)],[f71,f43]) ).
fof(f244,definition,
( sQ48_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ48_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ48_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ49_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ49_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( sQ49_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ50_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ50_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( sQ50_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
( sQ51_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ51_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( sQ51_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f240,f244,f247,f250,f253]) ).
fof(f257,definition,
( sQ52_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ52_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ52_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ53_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ53_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ53_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ54_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ54_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ54_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ55_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ55_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ55_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f241,f257,f260,f263,f266]) ).
fof(f270,definition,
( sQ56_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ56_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( sQ56_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ57_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ57_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( sQ57_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ58_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ58_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ58_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ59_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ59_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ59_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f242,f270,f273,f276,f279]) ).
fof(f283,definition,
( sQ60_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ60_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( sQ60_spl
| ~ product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,definition,
( sQ61_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ61_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( sQ61_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ62_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ62_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( sQ62_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ63_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ63_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ63_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f243,f283,f286,f289,f292]) ).
fof(f296,plain,
! [X0] :
( ~ sQ15_spl
| ~ greater(e_4,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f125,f42]) ).
fof(f297,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f125,f65]) ).
fof(f298,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f125,f63]) ).
fof(f299,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f125,f61]) ).
fof(f300,plain,
! [X0] :
( ~ sQ15_spl
| product(e_4,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f125,f67]) ).
fof(f301,plain,
( ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f297,f125]) ).
fof(f302,plain,
( ~ sQ15_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f298,f125]) ).
fof(f304,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f122,f299]) ).
fof(f305,plain,
! [X0] :
( ~ sQ14_spl
| ~ greater(e_3,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f122,f42]) ).
fof(f306,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f122,f65]) ).
fof(f307,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f122,f63]) ).
fof(f308,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f122,f61]) ).
fof(f309,plain,
! [X0] :
( ~ sQ14_spl
| product(e_3,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f122,f67]) ).
fof(f310,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f304,f58]) ).
fof(f311,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f310]) ).
fof(f312,plain,
! [X0] :
( ~ sQ13_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f119,f42]) ).
fof(f313,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f119,f65]) ).
fof(f314,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f119,f63]) ).
fof(f315,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f119,f61]) ).
fof(f316,plain,
! [X0] :
( ~ sQ13_spl
| product(e_2,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f119,f67]) ).
fof(f317,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f313,f119]) ).
fof(f318,plain,
( ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f314,f119]) ).
fof(f319,plain,
( ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f315,f119]) ).
fof(f320,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f116,f315]) ).
fof(f321,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(e_1,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f116,f42]) ).
fof(f322,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f116,f65]) ).
fof(f323,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f116,f63]) ).
fof(f324,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f116,f61]) ).
fof(f325,plain,
! [X0] :
( ~ sQ12_spl
| product(e_1,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f116,f67]) ).
fof(f326,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f50]) ).
fof(f327,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f326]) ).
fof(f328,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f112,f65]) ).
fof(f329,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f112,f63]) ).
fof(f330,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f112,f61]) ).
fof(f331,plain,
! [X0] :
( ~ sQ11_spl
| product(e_4,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f112,f67]) ).
fof(f333,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f329,f112]) ).
fof(f334,plain,
( ~ sQ11_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f330,f112]) ).
fof(f335,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f109,f330]) ).
fof(f336,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f109,f65]) ).
fof(f337,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f109,f63]) ).
fof(f338,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f109,f61]) ).
fof(f339,plain,
! [X0] :
( ~ sQ10_spl
| product(e_3,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f109,f67]) ).
fof(f340,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f335,f58]) ).
fof(f341,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f340]) ).
fof(f342,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f106,f314]) ).
fof(f343,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f106,f65]) ).
fof(f344,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f63]) ).
fof(f345,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f61]) ).
fof(f346,plain,
! [X0] :
( ~ sQ9_spl
| product(e_2,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f106,f67]) ).
fof(f347,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f342,f47]) ).
fof(f348,plain,
( ~ sQ13_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f347]) ).
fof(f349,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f103,f323]) ).
fof(f350,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f103,f65]) ).
fof(f351,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f103,f63]) ).
fof(f352,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f103,f61]) ).
fof(f353,plain,
! [X0] :
( ~ sQ8_spl
| product(e_1,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f103,f67]) ).
fof(f354,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f47]) ).
fof(f355,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f350,f103]) ).
fof(f357,plain,
( ~ sQ8_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f351,f103]) ).
fof(f358,plain,
( ~ sQ8_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f352,f103]) ).
fof(f359,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f99,f65]) ).
fof(f360,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f99,f63]) ).
fof(f361,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f99,f61]) ).
fof(f362,plain,
! [X0] :
( ~ sQ7_spl
| product(e_4,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f99,f67]) ).
fof(f363,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f359,f99]) ).
fof(f364,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f360,f99]) ).
fof(f365,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f361,f99]) ).
fof(f366,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f96,f361]) ).
fof(f367,plain,
( ~ sQ14_spl
| ~ sQ6_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f96,f307]) ).
fof(f368,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f96,f65]) ).
fof(f369,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f96,f63]) ).
fof(f370,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f96,f61]) ).
fof(f371,plain,
! [X0] :
( ~ sQ6_spl
| product(e_3,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f96,f67]) ).
fof(f372,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f58]) ).
fof(f373,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f93,f361]) ).
fof(f375,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f93,f65]) ).
fof(f376,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f93,f63]) ).
fof(f377,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f93,f61]) ).
fof(f378,plain,
! [X0] :
( ~ sQ5_spl
| product(e_2,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f93,f67]) ).
fof(f379,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f57]) ).
fof(f380,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( ~ sQ14_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f367,f48]) ).
fof(f382,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f381]) ).
fof(f383,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f375,f93]) ).
fof(f384,plain,
( ~ sQ5_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f376,f93]) ).
fof(f385,plain,
( ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f377,f93]) ).
fof(f386,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f90,f377]) ).
fof(f387,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f90,f351]) ).
fof(f388,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f90,f65]) ).
fof(f389,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f90,f63]) ).
fof(f390,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f90,f61]) ).
fof(f391,plain,
! [X0] :
( ~ sQ4_spl
| product(e_1,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f90,f67]) ).
fof(f392,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f50]) ).
fof(f393,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f387,f51]) ).
fof(f395,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f394]) ).
fof(f396,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f86,f65]) ).
fof(f397,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f86,f63]) ).
fof(f398,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f86,f61]) ).
fof(f399,plain,
! [X0] :
( ~ sQ3_spl
| product(e_4,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f86,f67]) ).
fof(f400,plain,
! [X0] :
( ~ sQ31_spl
| ~ greater(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f181,f42]) ).
fof(f401,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f181,f65]) ).
fof(f402,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f181,f63]) ).
fof(f403,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f181,f61]) ).
fof(f404,plain,
! [X0] :
( ~ sQ31_spl
| product(e_4,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f181,f67]) ).
fof(f405,plain,
! [X0] :
( ~ sQ30_spl
| ~ greater(e_3,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f178,f42]) ).
fof(f406,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f178,f65]) ).
fof(f407,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f178,f63]) ).
fof(f408,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f178,f61]) ).
fof(f409,plain,
! [X0] :
( ~ sQ30_spl
| product(e_3,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f178,f67]) ).
fof(f410,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f175,f313]) ).
fof(f411,plain,
! [X0] :
( ~ sQ29_spl
| ~ greater(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f175,f42]) ).
fof(f412,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f175,f65]) ).
fof(f413,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f175,f63]) ).
fof(f414,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f175,f61]) ).
fof(f415,plain,
! [X0] :
( ~ sQ29_spl
| product(e_2,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f175,f67]) ).
fof(f416,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f410,f58]) ).
fof(f417,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f416]) ).
fof(f418,plain,
! [X0] :
( ~ sQ28_spl
| ~ greater(e_1,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f172,f42]) ).
fof(f419,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f172,f65]) ).
fof(f420,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f172,f63]) ).
fof(f421,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f172,f61]) ).
fof(f422,plain,
! [X0] :
( ~ sQ28_spl
| product(e_1,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f172,f67]) ).
fof(f423,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f168,f65]) ).
fof(f424,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f168,f63]) ).
fof(f425,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f168,f61]) ).
fof(f426,plain,
! [X0] :
( ~ sQ27_spl
| product(e_4,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f168,f67]) ).
fof(f427,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f165,f65]) ).
fof(f428,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f165,f63]) ).
fof(f429,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f165,f61]) ).
fof(f430,plain,
! [X0] :
( ~ sQ26_spl
| product(e_3,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f165,f67]) ).
fof(f431,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f162,f65]) ).
fof(f432,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f162,f63]) ).
fof(f433,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f162,f61]) ).
fof(f434,plain,
! [X0] :
( ~ sQ25_spl
| product(e_2,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f162,f67]) ).
fof(f435,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f159,f65]) ).
fof(f436,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f159,f63]) ).
fof(f437,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f159,f61]) ).
fof(f438,plain,
! [X0] :
( ~ sQ24_spl
| product(e_1,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f159,f67]) ).
fof(f439,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f155,f65]) ).
fof(f440,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f155,f63]) ).
fof(f441,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f155,f61]) ).
fof(f442,plain,
! [X0] :
( ~ sQ23_spl
| product(e_4,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f155,f67]) ).
fof(f444,plain,
( ~ sQ23_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f442,f155]) ).
fof(f445,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f444,f399]) ).
fof(f446,plain,
( ~ sQ6_spl
| ~ sQ23_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f444,f369]) ).
fof(f447,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f444,f65]) ).
fof(f448,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f444,f63]) ).
fof(f449,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f444,f61]) ).
fof(f450,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f444,f67]) ).
fof(f451,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f445,f98,f154,f85]) ).
fof(f452,plain,
( ~ sQ6_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f55]) ).
fof(f453,plain,
( ~ sQ6_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f402,f168]) ).
fof(f457,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f455,f47]) ).
fof(f458,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f406,f178]) ).
fof(f460,plain,
( ~ sQ26_spl
| ~ sQ30_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f407,f165]) ).
fof(f461,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f178]) ).
fof(f462,plain,
( ~ sQ26_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f47]) ).
fof(f463,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f462]) ).
fof(f464,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f322,f172]) ).
fof(f465,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f464,f58]) ).
fof(f466,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f465]) ).
fof(f467,plain,
( ~ sQ25_spl
| ~ sQ9_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f343,f162]) ).
fof(f468,plain,
( ~ sQ25_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f467,f58]) ).
fof(f469,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( ~ sQ28_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f419,f172]) ).
fof(f471,plain,
( ~ sQ24_spl
| ~ sQ28_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f420,f159]) ).
fof(f472,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f420,f172]) ).
fof(f473,plain,
( ~ sQ24_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f471,f47]) ).
fof(f474,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( ~ sQ24_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f435,f159]) ).
fof(f476,plain,
( ~ sQ24_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f436,f159]) ).
fof(f477,plain,
( ~ sQ24_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f437,f159]) ).
fof(f478,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f350,f159]) ).
fof(f479,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f58]) ).
fof(f480,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f479]) ).
fof(f481,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f65]) ).
fof(f482,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f152,f63]) ).
fof(f483,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f152,f61]) ).
fof(f484,plain,
! [X0] :
( ~ sQ22_spl
| product(e_3,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f152,f67]) ).
fof(f488,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f483,f152]) ).
fof(f489,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f149,f483]) ).
fof(f490,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f149,f484]) ).
fof(f491,plain,
( ~ sQ25_spl
| ~ sQ21_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f149,f432]) ).
fof(f492,plain,
( ~ sQ29_spl
| ~ sQ21_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f149,f413]) ).
fof(f493,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f149,f375]) ).
fof(f494,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f149,f65]) ).
fof(f495,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f149,f63]) ).
fof(f496,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f149,f61]) ).
fof(f497,plain,
! [X0] :
( ~ sQ21_spl
| product(e_2,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f149,f67]) ).
fof(f498,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f54]) ).
fof(f499,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f146,f484]) ).
fof(f502,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f65]) ).
fof(f503,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f146,f63]) ).
fof(f504,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f146,f61]) ).
fof(f505,plain,
! [X0] :
( ~ sQ20_spl
| product(e_1,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f146,f67]) ).
fof(f508,plain,
( ~ sQ25_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f491,f51]) ).
fof(f509,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( ~ sQ10_spl
| ~ sQ23_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f444,f337]) ).
fof(f511,plain,
( ~ sQ14_spl
| ~ sQ23_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f444,f307]) ).
fof(f512,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f444,f65]) ).
fof(f514,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f444,f61]) ).
fof(f515,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f444,f67]) ).
fof(f516,plain,
( ~ sQ10_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f52]) ).
fof(f517,plain,
( ~ sQ10_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f142,f391]) ).
fof(f519,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f142,f65]) ).
fof(f520,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f142,f63]) ).
fof(f521,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f142,f61]) ).
fof(f522,plain,
! [X0] :
( ~ sQ19_spl
| product(e_4,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f142,f67]) ).
fof(f524,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f518,f65]) ).
fof(f525,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f518,f63]) ).
fof(f526,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f518,f61]) ).
fof(f527,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| product(e_4,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f518,f67]) ).
fof(f528,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f519,f518]) ).
fof(f529,plain,
( ~ sQ19_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f519,f142]) ).
fof(f530,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f53]) ).
fof(f531,plain,
( ~ sQ4_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f139,f378]) ).
fof(f533,plain,
( ~ sQ22_spl
| ~ sQ18_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f139,f482]) ).
fof(f534,plain,
( ~ sQ26_spl
| ~ sQ18_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f139,f428]) ).
fof(f535,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f139,f65]) ).
fof(f536,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f139,f63]) ).
fof(f537,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f139,f61]) ).
fof(f538,plain,
! [X0] :
( ~ sQ18_spl
| product(e_3,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f139,f67]) ).
fof(f539,plain,
( ~ sQ22_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f55]) ).
fof(f540,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( ~ sQ29_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f492,f48]) ).
fof(f542,plain,
( ~ sQ29_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( ~ sQ14_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f49]) ).
fof(f544,plain,
( ~ sQ14_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f545,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f136,f65]) ).
fof(f546,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f136,f63]) ).
fof(f547,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f136,f61]) ).
fof(f548,plain,
! [X0] :
( ~ sQ17_spl
| product(e_2,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f136,f67]) ).
fof(f549,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f133,f65]) ).
fof(f550,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f133,f63]) ).
fof(f551,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f133,f61]) ).
fof(f552,plain,
! [X0] :
( ~ sQ16_spl
| product(e_1,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f133,f67]) ).
fof(f553,plain,
! [X0] :
( ~ sQ47_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f237,f42]) ).
fof(f554,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f237,f65]) ).
fof(f555,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f237,f63]) ).
fof(f556,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f237,f61]) ).
fof(f557,plain,
! [X0] :
( ~ sQ47_spl
| product(e_4,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f237,f67]) ).
fof(f558,plain,
( ~ sQ14_spl
| ~ sQ46_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f234,f306]) ).
fof(f559,plain,
! [X0] :
( ~ sQ46_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f234,f42]) ).
fof(f560,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f234,f65]) ).
fof(f561,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f234,f63]) ).
fof(f562,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f234,f61]) ).
fof(f563,plain,
! [X0] :
( ~ sQ46_spl
| product(e_3,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f234,f67]) ).
fof(f564,plain,
( ~ sQ14_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f558,f57]) ).
fof(f565,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f564]) ).
fof(f566,plain,
! [X0] :
( ~ sQ45_spl
| ~ greater(e_2,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f231,f42]) ).
fof(f567,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f231,f65]) ).
fof(f568,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f231,f63]) ).
fof(f569,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f231,f61]) ).
fof(f570,plain,
! [X0] :
( ~ sQ45_spl
| product(e_2,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f231,f67]) ).
fof(f571,plain,
! [X0] :
( ~ sQ44_spl
| ~ greater(e_1,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f228,f42]) ).
fof(f572,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f65]) ).
fof(f573,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f228,f63]) ).
fof(f574,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f228,f61]) ).
fof(f575,plain,
! [X0] :
( ~ sQ44_spl
| product(e_1,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f228,f67]) ).
fof(f576,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f391,f133]) ).
fof(f577,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f391,f136]) ).
fof(f578,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ4_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f576,f42]) ).
fof(f579,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ4_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f576,f65]) ).
fof(f580,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ4_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f576,f63]) ).
fof(f581,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ4_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f576,f61]) ).
fof(f582,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ4_spl
| product(e_4,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f576,f67]) ).
fof(f583,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f577,f65]) ).
fof(f584,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f577,f63]) ).
fof(f585,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f577,f61]) ).
fof(f586,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| product(e_4,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f577,f67]) ).
fof(f587,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f557,f577]) ).
fof(f588,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f570,f577]) ).
fof(f589,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ44_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f575,f577]) ).
fof(f590,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f587,f65]) ).
fof(f591,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f587,f63]) ).
fof(f592,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f587,f61]) ).
fof(f593,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f587,f67]) ).
fof(f594,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f588,f346]) ).
fof(f595,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f588,f65]) ).
fof(f596,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f588,f63]) ).
fof(f597,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f588,f61]) ).
fof(f598,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_2,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f588,f67]) ).
fof(f600,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f589,f65]) ).
fof(f601,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f589,f63]) ).
fof(f602,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f589,f61]) ).
fof(f603,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ44_spl
| product(e_2,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f589,f67]) ).
fof(f604,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f594,f65]) ).
fof(f605,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f594,f63]) ).
fof(f606,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f594,f61]) ).
fof(f607,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_4,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f594,f67]) ).
fof(f608,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f578,f40]) ).
fof(f609,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f578,f39]) ).
fof(f610,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f578,f37]) ).
fof(f611,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f32]) ).
fof(f612,plain,
( ~ sQ16_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f378,f136]) ).
fof(f614,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f613,f65]) ).
fof(f615,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f613,f63]) ).
fof(f616,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f613,f61]) ).
fof(f617,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| product(e_4,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f613,f67]) ).
fof(f618,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f614,f613]) ).
fof(f620,plain,
( ~ sQ47_spl
| ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f615,f237]) ).
fof(f621,plain,
( ~ sQ47_spl
| ~ sQ17_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f620,f50]) ).
fof(f622,plain,
( ~ sQ47_spl
| ~ sQ17_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( ~ sQ45_spl
| ~ sQ29_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f412,f231]) ).
fof(f624,plain,
( ~ sQ45_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f623,f54]) ).
fof(f625,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( ~ sQ44_spl
| ~ sQ12_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f322,f228]) ).
fof(f627,plain,
( ~ sQ44_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f626,f57]) ).
fof(f628,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f627]) ).
fof(f629,plain,
( ~ sQ44_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f572,f228]) ).
fof(f631,plain,
( ~ sQ44_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f574,f228]) ).
fof(f632,plain,
( ~ sQ44_spl
| ~ sQ28_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f419,f228]) ).
fof(f633,plain,
( ~ sQ44_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f632,f54]) ).
fof(f634,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f633]) ).
fof(f635,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f224,f65]) ).
fof(f636,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f224,f63]) ).
fof(f637,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f224,f61]) ).
fof(f638,plain,
! [X0] :
( ~ sQ43_spl
| product(e_4,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f224,f67]) ).
fof(f639,plain,
( ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f635,f224]) ).
fof(f641,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f637,f224]) ).
fof(f642,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f221,f637]) ).
fof(f643,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f221,f65]) ).
fof(f644,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f221,f63]) ).
fof(f645,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f221,f61]) ).
fof(f646,plain,
! [X0] :
( ~ sQ42_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f221,f67]) ).
fof(f647,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f58]) ).
fof(f648,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f647]) ).
fof(f649,plain,
( ~ sQ43_spl
| ~ sQ41_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f218,f637]) ).
fof(f650,plain,
( ~ sQ45_spl
| ~ sQ41_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f218,f568]) ).
fof(f651,plain,
( ~ sQ25_spl
| ~ sQ41_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f218,f431]) ).
fof(f652,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f65]) ).
fof(f653,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f218,f63]) ).
fof(f654,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f218,f61]) ).
fof(f655,plain,
! [X0] :
( ~ sQ41_spl
| product(e_2,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f218,f67]) ).
fof(f656,plain,
( ~ sQ43_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f57]) ).
fof(f657,plain,
( ~ sQ43_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f656]) ).
fof(f658,plain,
( ~ sQ45_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f47]) ).
fof(f659,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f215,f350]) ).
fof(f664,plain,
! [X0] :
( ~ sQ40_spl
| product(e_1,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f215,f67]) ).
fof(f665,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f57]) ).
fof(f666,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f667,plain,
( ~ sQ25_spl
| ~ sQ39_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f211,f434]) ).
fof(f668,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f211,f65]) ).
fof(f669,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f211,f63]) ).
fof(f670,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f211,f61]) ).
fof(f671,plain,
! [X0] :
( ~ sQ39_spl
| product(e_4,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f211,f67]) ).
fof(f673,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f208,f481]) ).
fof(f674,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f208,f65]) ).
fof(f675,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f208,f63]) ).
fof(f676,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f208,f61]) ).
fof(f677,plain,
! [X0] :
( ~ sQ38_spl
| product(e_3,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f208,f67]) ).
fof(f678,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f673,f54]) ).
fof(f679,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f678]) ).
fof(f680,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f58]) ).
fof(f681,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f682,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f205,f65]) ).
fof(f683,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f205,f63]) ).
fof(f684,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f205,f61]) ).
fof(f685,plain,
! [X0] :
( ~ sQ37_spl
| product(e_2,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f205,f67]) ).
fof(f686,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f202,f65]) ).
fof(f687,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f202,f63]) ).
fof(f688,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f202,f61]) ).
fof(f689,plain,
! [X0] :
( ~ sQ36_spl
| product(e_1,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f202,f67]) ).
fof(f690,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f198,f65]) ).
fof(f691,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f198,f63]) ).
fof(f692,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f198,f61]) ).
fof(f693,plain,
! [X0] :
( ~ sQ35_spl
| product(e_4,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f198,f67]) ).
fof(f694,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f195,f65]) ).
fof(f695,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f195,f63]) ).
fof(f696,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f195,f61]) ).
fof(f697,plain,
! [X0] :
( ~ sQ34_spl
| product(e_3,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f195,f67]) ).
fof(f698,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f444,f65]) ).
fof(f701,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f444,f67]) ).
fof(f702,plain,
( ~ sQ23_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f512,f444]) ).
fof(f703,plain,
( ~ sQ34_spl
| ~ sQ23_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f512,f195]) ).
fof(f704,plain,
( ~ sQ34_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f703,f57]) ).
fof(f705,plain,
( ~ sQ34_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f710,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f583,f577]) ).
fof(f711,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f563,f577]) ).
fof(f712,plain,
( ~ sQ40_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f664,f215]) ).
fof(f713,plain,
( ~ sQ36_spl
| ~ sQ24_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f438,f202]) ).
fof(f714,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f438,f205]) ).
fof(f715,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f438,f211]) ).
fof(f717,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f711,f65]) ).
fof(f721,plain,
! [X0] :
( ~ sQ40_spl
| ~ greater(e_2,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f712,f42]) ).
fof(f722,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f712,f65]) ).
fof(f724,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f712,f61]) ).
fof(f725,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f712,f67]) ).
fof(f727,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ24_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f713,f42]) ).
fof(f728,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f713,f65]) ).
fof(f729,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f713,f63]) ).
fof(f730,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f713,f61]) ).
fof(f731,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ24_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f713,f67]) ).
fof(f734,plain,
( ~ sQ46_spl
| ~ sQ37_spl
| ~ sQ24_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f714,f563]) ).
fof(f735,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f714,f65]) ).
fof(f736,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f714,f63]) ).
fof(f737,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f714,f61]) ).
fof(f738,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ24_spl
| product(e_3,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f714,f67]) ).
fof(f739,plain,
( ~ sQ46_spl
| ~ sQ37_spl
| ~ sQ24_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f734,f148,f158,f204,f233]) ).
fof(f741,plain,
( ~ sQ12_spl
| ~ sQ39_spl
| ~ sQ24_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f715,f325]) ).
fof(f742,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f715,f65]) ).
fof(f743,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f715,f63]) ).
fof(f744,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f715,f61]) ).
fof(f745,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| product(e_3,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f715,f67]) ).
fof(f750,plain,
( ~ sQ30_spl
| ~ sQ12_spl
| ~ sQ39_spl
| ~ sQ24_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f741,f409]) ).
fof(f751,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f741,f65]) ).
fof(f752,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f741,f63]) ).
fof(f753,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f741,f61]) ).
fof(f754,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ39_spl
| ~ sQ24_spl
| product(e_4,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f741,f67]) ).
fof(f757,plain,
( ~ sQ12_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f584,f741]) ).
fof(f758,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f584,f577]) ).
fof(f759,plain,
( ~ sQ12_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ17_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f757,f51]) ).
fof(f760,plain,
( ~ sQ12_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ17_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f759]) ).
fof(f761,plain,
( ~ sQ46_spl
| ~ sQ37_spl
| ~ sQ24_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f714,f563]) ).
fof(f766,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f585,f714]) ).
fof(f767,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f585,f577]) ).
fof(f768,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| ~ sQ17_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f766,f58]) ).
fof(f769,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| ~ sQ17_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f588,f346]) ).
fof(f772,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f588,f65]) ).
fof(f773,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f588,f63]) ).
fof(f774,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f588,f61]) ).
fof(f775,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_2,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f588,f67]) ).
fof(f776,plain,
( ~ sQ43_spl
| ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f771,f638]) ).
fof(f777,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ45_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f771,f583]) ).
fof(f778,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f771,f65]) ).
fof(f779,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f771,f63]) ).
fof(f780,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f771,f61]) ).
fof(f781,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_4,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f771,f67]) ).
fof(f782,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f777,f47]) ).
fof(f783,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f782]) ).
fof(f796,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f339,f198]) ).
fof(f797,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f796,f141,f108,f197]) ).
fof(f798,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f722,f712]) ).
fof(f800,plain,
( ~ sQ40_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f724,f712]) ).
fof(f801,plain,
( ~ sQ40_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f725,f712]) ).
fof(f802,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f717,f711]) ).
fof(f806,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f801,f638]) ).
fof(f808,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f801,f63]) ).
fof(f809,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f801,f61]) ).
fof(f811,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f806,f722]) ).
fof(f812,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ40_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f806,f42]) ).
fof(f813,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f806,f65]) ).
fof(f814,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f806,f63]) ).
fof(f815,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f806,f61]) ).
fof(f816,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ40_spl
| product(e_2,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f806,f67]) ).
fof(f817,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f811,f49]) ).
fof(f818,plain,
( ~ sQ40_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f817]) ).
fof(f819,plain,
( ~ sQ10_spl
| ~ sQ33_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f192,f339]) ).
fof(f820,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| ~ sQ33_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f192,f717]) ).
fof(f821,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f192,f65]) ).
fof(f822,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f192,f63]) ).
fof(f823,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f192,f61]) ).
fof(f824,plain,
! [X0] :
( ~ sQ33_spl
| product(e_2,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f192,f67]) ).
fof(f825,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f820,f54]) ).
fof(f826,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f825]) ).
fof(f827,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f189,f339]) ).
fof(f828,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f189,f65]) ).
fof(f829,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f189,f63]) ).
fof(f830,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f189,f61]) ).
fof(f831,plain,
! [X0] :
( ~ sQ32_spl
| product(e_1,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f189,f67]) ).
fof(f832,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f827,f180,f188,f108]) ).
fof(f833,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ63_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f293,f584]) ).
fof(f834,plain,
! [X0] :
( ~ sQ63_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f293,f42]) ).
fof(f835,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f293,f65]) ).
fof(f836,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f293,f63]) ).
fof(f837,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f293,f61]) ).
fof(f838,plain,
! [X0] :
( ~ sQ63_spl
| product(e_4,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f293,f67]) ).
fof(f839,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f833,f50]) ).
fof(f840,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f839]) ).
fof(f841,plain,
! [X0] :
( ~ sQ62_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f290,f42]) ).
fof(f842,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f290,f65]) ).
fof(f843,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f290,f63]) ).
fof(f844,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f290,f61]) ).
fof(f845,plain,
! [X0] :
( ~ sQ62_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f290,f67]) ).
fof(f846,plain,
! [X0] :
( ~ sQ61_spl
| ~ greater(e_2,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f287,f42]) ).
fof(f847,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f287,f65]) ).
fof(f848,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f287,f63]) ).
fof(f849,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f287,f61]) ).
fof(f850,plain,
! [X0] :
( ~ sQ61_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f287,f67]) ).
fof(f851,plain,
! [X0] :
( ~ sQ60_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f284,f42]) ).
fof(f852,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f284,f65]) ).
fof(f853,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f284,f63]) ).
fof(f854,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f284,f61]) ).
fof(f855,plain,
! [X0] :
( ~ sQ60_spl
| product(e_1,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f284,f67]) ).
fof(f856,plain,
( ~ sQ46_spl
| ~ sQ58_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f277,f563]) ).
fof(f857,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ58_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f277,f585]) ).
fof(f858,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f277,f65]) ).
fof(f859,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f277,f63]) ).
fof(f860,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f277,f61]) ).
fof(f861,plain,
! [X0] :
( ~ sQ58_spl
| product(e_3,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f277,f67]) ).
fof(f862,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f857,f58]) ).
fof(f863,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f862]) ).
fof(f864,plain,
( ~ sQ46_spl
| ~ sQ57_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f274,f563]) ).
fof(f865,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ57_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f274,f585]) ).
fof(f866,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f274,f65]) ).
fof(f867,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f274,f63]) ).
fof(f868,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f274,f61]) ).
fof(f869,plain,
! [X0] :
( ~ sQ57_spl
| product(e_2,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f274,f67]) ).
fof(f870,plain,
( ~ sQ46_spl
| ~ sQ57_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f864,f161,f273,f233]) ).
fof(f871,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f865,f57]) ).
fof(f872,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f871]) ).
fof(f873,plain,
( ~ sQ10_spl
| ~ sQ33_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f819,f167,f191,f108]) ).
fof(f874,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f588,f339]) ).
fof(f875,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f588,f65]) ).
fof(f876,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f588,f63]) ).
fof(f877,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f588,f61]) ).
fof(f878,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_2,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f588,f67]) ).
fof(f883,plain,
( ~ sQ36_spl
| ~ sQ10_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f874,f689]) ).
fof(f884,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ45_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f874,f583]) ).
fof(f885,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f874,f65]) ).
fof(f886,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f874,f63]) ).
fof(f887,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f874,f61]) ).
fof(f888,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_4,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f874,f67]) ).
fof(f889,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f884,f48]) ).
fof(f890,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f889]) ).
fof(f891,plain,
( sQ33_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f193,f588]) ).
fof(f892,plain,
( sQ33_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f891]) ).
fof(f893,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f646,f801]) ).
fof(f894,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f893,f174,f220,f214]) ).
fof(f895,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f845,f284]) ).
fof(f896,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f845,f287]) ).
fof(f897,plain,
( ~ sQ62_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f845,f290]) ).
fof(f898,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f896,f158,f289,f286]) ).
fof(f899,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f850,f284]) ).
fof(f900,plain,
( ~ sQ61_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f850,f287]) ).
fof(f901,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f899,f227,f286,f283]) ).
fof(f902,plain,
( ~ sQ40_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f712,f286,f214]) ).
fof(f904,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| ~ sQ58_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f856,f497]) ).
fof(f905,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f856,f65]) ).
fof(f906,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f856,f63]) ).
fof(f907,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ58_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f856,f61]) ).
fof(f908,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ58_spl
| product(e_2,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f856,f67]) ).
fof(f909,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| ~ sQ58_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f904,f220,f276,f233,f148]) ).
fof(f910,plain,
( ~ sQ25_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f651,f54]) ).
fof(f911,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f910]) ).
fof(f912,plain,
( ~ sQ61_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f900,f214,f286]) ).
fof(f913,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f895,f171,f289,f283]) ).
fof(f914,plain,
( ~ sQ62_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f897,f145,f289]) ).
fof(f915,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f852,f284]) ).
fof(f918,plain,
( ~ sQ60_spl
| ~ sQ44_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f572,f284]) ).
fof(f919,plain,
( ~ sQ60_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f918,f50]) ).
fof(f920,plain,
( ~ sQ60_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f919]) ).
fof(f921,plain,
( ~ sQ40_spl
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f721,f35]) ).
fof(f922,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f801,f646]) ).
fof(f923,plain,
( ~ sQ40_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f801,f664]) ).
fof(f924,plain,
( ~ sQ36_spl
| ~ sQ40_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f801,f687]) ).
fof(f929,plain,
( ~ sQ36_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f924,f54]) ).
fof(f930,plain,
( ~ sQ36_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f929]) ).
fof(f931,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f532,f65]) ).
fof(f932,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f532,f63]) ).
fof(f933,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f532,f61]) ).
fof(f934,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| product(e_4,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f532,f67]) ).
fof(f935,plain,
( ~ sQ44_spl
| ~ sQ56_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f271,f575]) ).
fof(f936,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f271,f65]) ).
fof(f937,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f271,f63]) ).
fof(f938,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f271,f61]) ).
fof(f939,plain,
! [X0] :
( ~ sQ56_spl
| product(e_1,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f271,f67]) ).
fof(f940,plain,
( ~ sQ44_spl
| ~ sQ56_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f935,f286,f270,f227]) ).
fof(f941,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f267,f65]) ).
fof(f942,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f267,f63]) ).
fof(f943,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f267,f61]) ).
fof(f944,plain,
! [X0] :
( ~ sQ55_spl
| product(e_4,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f267,f67]) ).
fof(f945,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f264,f65]) ).
fof(f946,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f264,f63]) ).
fof(f947,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f264,f61]) ).
fof(f948,plain,
! [X0] :
( ~ sQ54_spl
| product(e_3,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f264,f67]) ).
fof(f949,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f261,f65]) ).
fof(f950,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f261,f63]) ).
fof(f951,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f261,f61]) ).
fof(f952,plain,
! [X0] :
( ~ sQ53_spl
| product(e_2,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f261,f67]) ).
fof(f953,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f258,f65]) ).
fof(f954,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f258,f63]) ).
fof(f955,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f258,f61]) ).
fof(f956,plain,
! [X0] :
( ~ sQ52_spl
| product(e_1,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f258,f67]) ).
fof(f957,plain,
( ~ sQ14_spl
| ~ sQ51_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f254,f309]) ).
fof(f958,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f254,f519]) ).
fof(f959,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f254,f65]) ).
fof(f960,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f254,f63]) ).
fof(f961,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f254,f61]) ).
fof(f962,plain,
! [X0] :
( ~ sQ51_spl
| product(e_4,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f254,f67]) ).
fof(f963,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f958,f53]) ).
fof(f964,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f963]) ).
fof(f965,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f251,f65]) ).
fof(f966,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f251,f63]) ).
fof(f967,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f251,f61]) ).
fof(f968,plain,
! [X0] :
( ~ sQ50_spl
| product(e_3,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f251,f67]) ).
fof(f972,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f444,f67]) ).
fof(f974,plain,
( ~ sQ23_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f514,f444]) ).
fof(f976,plain,
( ~ sQ50_spl
| ~ sQ23_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f447,f251]) ).
fof(f977,plain,
( ~ sQ50_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f976,f56]) ).
fof(f978,plain,
( ~ sQ50_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f977]) ).
fof(f979,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f577,f65]) ).
fof(f980,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f577,f63]) ).
fof(f982,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| product(e_4,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f577,f67]) ).
fof(f989,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f584,f267]) ).
fof(f990,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f989,f51]) ).
fof(f991,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f990]) ).
fof(f994,plain,
( ~ sQ50_spl
| ~ sQ12_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f325,f251]) ).
fof(f995,plain,
( ~ sQ50_spl
| ~ sQ12_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f994,f266,f115,f250]) ).
fof(f996,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ45_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f570,f577]) ).
fof(f997,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f422,f258]) ).
fof(f998,plain,
( ~ sQ53_spl
| ~ sQ28_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f422,f261]) ).
fof(f1000,plain,
( ~ sQ52_spl
| ~ sQ28_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f997,f289,f171,f257]) ).
fof(f1001,plain,
( ~ sQ53_spl
| ~ sQ28_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f998,f276,f171,f260]) ).
fof(f1002,plain,
( ~ sQ54_spl
| ~ sQ30_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f409,f264]) ).
fof(f1003,plain,
( ~ sQ54_spl
| ~ sQ30_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1002,f151,f177,f263]) ).
fof(f1005,plain,
( ~ sQ54_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f945,f264]) ).
fof(f1006,plain,
( ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f946,f264]) ).
fof(f1007,plain,
( ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f947,f264]) ).
fof(f1008,plain,
( ~ sQ54_spl
| ~ sQ62_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f843,f264]) ).
fof(f1009,plain,
( ~ sQ54_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1008,f48]) ).
fof(f1010,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1009]) ).
fof(f1011,plain,
( ~ sQ46_spl
| ~ sQ58_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f856,f148,f276,f233]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f248,f65]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f248,f63]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f248,f61]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ49_spl
| product(e_2,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f248,f67]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f245,f65]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f245,f63]) ).
fof(f1018,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f245,f61]) ).
fof(f1019,plain,
! [X0] :
( ~ sQ48_spl
| product(e_1,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f245,f67]) ).
fof(f1020,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f83,f369]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f83,f65]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f83,f63]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f83,f61]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ2_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f83,f67]) ).
fof(f1025,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1020,f55]) ).
fof(f1026,plain,
( ~ sQ6_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f80,f65]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f80,f63]) ).
fof(f1029,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f80,f61]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ1_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f80,f67]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f65]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f77,f63]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f77,f61]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ0_spl
| product(e_1,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f77,f67]) ).
fof(f1035,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f316,f245]) ).
fof(f1036,plain,
( ~ sQ49_spl
| ~ sQ13_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f316,f248]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f1035,f42]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1035,f65]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1035,f63]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1035,f61]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| product(e_4,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1035,f67]) ).
fof(f1045,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1024,f77]) ).
fof(f1046,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1024,f80]) ).
fof(f1047,plain,
( ~ sQ2_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1024,f83]) ).
fof(f1048,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1045,f180,f82,f76]) ).
fof(f1049,plain,
( ~ sQ2_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1047,f154,f82]) ).
fof(f1050,plain,
( ~ sQ23_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f444,f82,f154]) ).
fof(f1051,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f714,f276,f158,f204]) ).
fof(f1052,plain,
( ~ sQ49_spl
| ~ sQ13_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1036,f223,f118,f247]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| product(e_4,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f577,f67]) ).
fof(f1061,plain,
( ~ sQ1_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1030,f80]) ).
fof(f1062,plain,
( ~ sQ1_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1061,f223,f79]) ).
fof(f1063,plain,
( ~ sQ1_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1027,f80]) ).
fof(f1064,plain,
( ~ sQ1_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1028,f80]) ).
fof(f1065,plain,
( ~ sQ1_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1029,f80]) ).
fof(f1066,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f344,f80]) ).
fof(f1067,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1066,f52]) ).
fof(f1068,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1069,plain,
( ~ sQ26_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f52]) ).
fof(f1070,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
( ~ sQ11_spl
| ~ sQ59_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f280,f328]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f280,f65]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f280,f63]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f280,f61]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ59_spl
| product(e_4,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f280,f67]) ).
fof(f1076,plain,
( ~ sQ11_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1071,f56]) ).
fof(f1077,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1076]) ).
fof(f1078,plain,
( ~ sQ40_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f801,f664]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f923,f67]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f1035,f42]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1035,f65]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1035,f63]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1035,f61]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| product(e_4,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1035,f67]) ).
fof(f1095,plain,
( ~ sQ59_spl
| ~ sQ45_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f570,f280]) ).
fof(f1096,plain,
( ~ sQ59_spl
| ~ sQ45_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1095,f191,f230,f279]) ).
fof(f1097,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f208,f676]) ).
fof(f1099,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f208,f675]) ).
fof(f1100,plain,
( ~ sQ38_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f208,f674]) ).
fof(f1105,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f644,f208]) ).
fof(f1106,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1105,f51]) ).
fof(f1107,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1106]) ).
fof(f1109,plain,
( ~ sQ55_spl
| ~ sQ31_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f181,f944]) ).
fof(f1110,plain,
( ~ sQ23_spl
| ~ sQ31_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f181,f440]) ).
fof(f1112,plain,
( ~ sQ15_spl
| ~ sQ31_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f181,f297]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ31_spl
| ~ greater(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f181,f42]) ).
fof(f1119,plain,
( ~ sQ23_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1110,f53]) ).
fof(f1120,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f577,f279,f89,f135]) ).
fof(f1122,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ44_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f589,f247,f227,f89,f135]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1078,f67]) ).
fof(f1134,plain,
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1109,f1034]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1109,f65]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1109,f63]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1109,f61]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ31_spl
| product(e_1,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1109,f67]) ).
fof(f1139,plain,
( ~ sQ61_spl
| ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1134,f850]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f1134,f42]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1134,f65]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1134,f63]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1134,f61]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| product(e_4,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1134,f67]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1139,f65]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1139,f63]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1139,f61]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| product(e_1,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1139,f67]) ).
fof(f1159,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f567,f1078]) ).
fof(f1160,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1159,f50]) ).
fof(f1161,plain,
( ~ sQ40_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1160]) ).
fof(f1165,plain,
( ~ sQ40_spl
| ~ sQ63_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f838,f1078]) ).
fof(f1166,plain,
( ~ sQ40_spl
| ~ sQ63_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1165,f102,f292,f214]) ).
fof(f1167,plain,
( ~ sQ40_spl
| ~ sQ49_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1013,f1078]) ).
fof(f1168,plain,
( ~ sQ40_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1167,f56]) ).
fof(f1169,plain,
( ~ sQ40_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1168]) ).
fof(f1171,plain,
( ~ sQ15_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f58]) ).
fof(f1172,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1171]) ).
fof(f1173,plain,
( ~ sQ52_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f258,f955]) ).
fof(f1174,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f258,f409]) ).
fof(f1175,plain,
( ~ sQ48_spl
| ~ sQ52_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f258,f1017]) ).
fof(f1176,plain,
( ~ sQ60_spl
| ~ sQ52_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f258,f853]) ).
fof(f1177,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f258,f954]) ).
fof(f1178,plain,
( ~ sQ36_spl
| ~ sQ52_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f258,f686]) ).
fof(f1184,plain,
( ~ sQ48_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1175,f58]) ).
fof(f1185,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1184]) ).
fof(f1186,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f152,f441]) ).
fof(f1188,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f442]) ).
fof(f1190,plain,
( ~ sQ30_spl
| ~ sQ22_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f152,f407]) ).
fof(f1191,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f482]) ).
fof(f1192,plain,
( ~ sQ54_spl
| ~ sQ22_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f152,f945]) ).
fof(f1193,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f481]) ).
fof(f1198,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1186,f58]) ).
fof(f1199,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1198]) ).
fof(f1200,plain,
( ~ sQ30_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1190,f48]) ).
fof(f1201,plain,
( ~ sQ30_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1200]) ).
fof(f1203,plain,
( ~ sQ46_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f562]) ).
fof(f1204,plain,
( ~ sQ46_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f561]) ).
fof(f1205,plain,
( ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f234,f560]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ46_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f234,f42]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f801,f65]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1078,f67]) ).
fof(f1227,plain,
( ~ sQ46_spl
| ~ sQ56_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f939,f234]) ).
fof(f1228,plain,
( ~ sQ46_spl
| ~ sQ56_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1227,f257,f270,f233]) ).
fof(f1230,plain,
( ~ sQ53_spl
| ~ sQ28_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f172,f952]) ).
fof(f1231,plain,
( ~ sQ55_spl
| ~ sQ28_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f172,f944]) ).
fof(f1232,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f172,f550]) ).
fof(f1233,plain,
( ~ sQ20_spl
| ~ sQ28_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f172,f503]) ).
fof(f1234,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f172,f420]) ).
fof(f1235,plain,
( ~ sQ28_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f172,f419]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ28_spl
| ~ greater(e_1,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f172,f42]) ).
fof(f1241,plain,
( ~ sQ53_spl
| ~ sQ28_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1230,f227,f171,f260]) ).
fof(f1242,plain,
( ~ sQ55_spl
| ~ sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1231,f115,f171,f266]) ).
fof(f1243,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1232,f56]) ).
fof(f1244,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1243]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f1035,f42]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1035,f65]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1035,f63]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1035,f61]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| product(e_4,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1035,f67]) ).
fof(f1255,plain,
( ~ sQ53_spl
| ~ sQ40_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1078,f950]) ).
fof(f1256,plain,
( ~ sQ13_spl
| ~ sQ40_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1078,f313]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ40_spl
| ~ greater(e_2,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f1078,f42]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1078,f65]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1078,f63]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1078,f61]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1078,f67]) ).
fof(f1262,plain,
( ~ sQ53_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1255,f53]) ).
fof(f1263,plain,
( ~ sQ53_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1264,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f1038,f40]) ).
fof(f1265,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f1038,f39]) ).
fof(f1266,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f1038,f37]) ).
fof(f1267,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1264,f33]) ).
fof(f1268,plain,
( ~ sQ48_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1267]) ).
fof(f1269,plain,
( ~ sQ55_spl
| ~ sQ31_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1109,f76,f180,f266]) ).
fof(f1270,plain,
( ~ sQ36_spl
| ~ sQ24_spl
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f727,f38]) ).
fof(f1271,plain,
( ~ sQ36_spl
| ~ sQ24_spl
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f727,f36]) ).
fof(f1272,plain,
( ~ sQ36_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1270,f32]) ).
fof(f1273,plain,
( ~ sQ36_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1272]) ).
fof(f1274,plain,
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f1140,f40]) ).
fof(f1275,plain,
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f1140,f39]) ).
fof(f1276,plain,
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f1140,f37]) ).
fof(f1277,plain,
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1275,f32]) ).
fof(f1278,plain,
( ~ sQ0_spl
| ~ sQ55_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1280,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f504]) ).
fof(f1282,plain,
( ~ sQ20_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f503]) ).
fof(f1283,plain,
( ~ sQ20_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f502]) ).
fof(f1290,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f274,f868]) ).
fof(f1291,plain,
( ~ sQ45_spl
| ~ sQ57_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f274,f570]) ).
fof(f1292,plain,
( ~ sQ57_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f274,f867]) ).
fof(f1293,plain,
( ~ sQ57_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f274,f866]) ).
fof(f1298,plain,
( ~ sQ45_spl
| ~ sQ57_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1291,f217,f273,f230]) ).
fof(f1300,plain,
( ~ sQ37_spl
| ~ sQ24_spl
| ~ sQ45_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f231,f738]) ).
fof(f1301,plain,
( ~ sQ37_spl
| ~ sQ45_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f231,f683]) ).
fof(f1302,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f231,f568]) ).
fof(f1303,plain,
( ~ sQ45_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f231,f567]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ45_spl
| ~ greater(e_2,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f231,f42]) ).
fof(f1309,plain,
( ~ sQ37_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1301,f53]) ).
fof(f1310,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1309]) ).
fof(f1313,plain,
( ~ sQ24_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f159,f436]) ).
fof(f1314,plain,
( ~ sQ24_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f159,f435]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f159,f65]) ).
fof(f1321,plain,
( ~ sQ52_spl
| ~ sQ31_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f181,f956]) ).
fof(f1322,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f181,f403]) ).
fof(f1323,plain,
( ~ sQ31_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f181,f402]) ).
fof(f1324,plain,
( ~ sQ31_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f181,f401]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ31_spl
| ~ greater(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f181,f42]) ).
fof(f1330,plain,
( ~ sQ52_spl
| ~ sQ31_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f1321,f244,f180,f257]) ).
fof(f1332,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f146,f497]) ).
fof(f1333,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f504]) ).
fof(f1334,plain,
( ~ sQ20_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f146,f505]) ).
fof(f1335,plain,
( ~ sQ20_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f503]) ).
fof(f1336,plain,
( ~ sQ20_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f502]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f65]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f146,f63]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f146,f61]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ20_spl
| product(e_1,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f146,f67]) ).
fof(f1343,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f952,f181]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1343,f65]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1343,f63]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1343,f61]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| product(e_1,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1343,f67]) ).
fof(f1349,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1345,f1343]) ).
fof(f1352,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f520,f181]) ).
fof(f1353,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1352,f56]) ).
fof(f1354,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1353]) ).
fof(f1355,plain,
( ~ sQ54_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1192,f48]) ).
fof(f1356,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1355]) ).
fof(f1357,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| ~ sQ18_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f532,f426]) ).
fof(f1358,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| ~ sQ18_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f532,f434]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f532,f65]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f532,f63]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f532,f61]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| product(e_4,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f532,f67]) ).
fof(f1363,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| ~ sQ18_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1358,f194,f138,f92,f161]) ).
fof(f1364,plain,
( ~ sQ43_spl
| ~ sQ17_spl
| ~ sQ5_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f613,f638]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f613,f65]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f613,f63]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f613,f61]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ5_spl
| product(e_4,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f613,f67]) ).
fof(f1369,plain,
( ~ sQ43_spl
| ~ sQ17_spl
| ~ sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1364,f79,f92,f135,f223]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1046,f65]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1046,f63]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1046,f61]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ2_spl
| product(e_4,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1046,f67]) ).
fof(f1374,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f616,f613]) ).
fof(f1375,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f614,f1046]) ).
fof(f1376,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f614,f613]) ).
fof(f1377,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ17_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1375,f51]) ).
fof(f1378,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ17_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1382,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f284,f419]) ).
fof(f1383,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f284,f852]) ).
fof(f1389,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1382,f53]) ).
fof(f1390,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1389]) ).
fof(f1391,plain,
( ~ sQ13_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1256,f56]) ).
fof(f1392,plain,
( ~ sQ13_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1393,plain,
( ~ sQ17_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f547]) ).
fof(f1394,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f136,f371]) ).
fof(f1395,plain,
( ~ sQ17_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f546]) ).
fof(f1396,plain,
( ~ sQ17_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f136,f545]) ).
fof(f1401,plain,
( ~ sQ6_spl
| ~ sQ17_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f1394,f167,f135,f95]) ).
fof(f1402,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f613,f223,f92,f135]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ20_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f1334,f42]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1334,f65]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1334,f63]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1334,f61]) ).
fof(f1407,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1334,f67]) ).
fof(f1412,plain,
( ~ sQ20_spl
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f1403,f38]) ).
fof(f1413,plain,
( ~ sQ20_spl
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f1403,f36]) ).
fof(f1414,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1412,f32]) ).
fof(f1415,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f1414]) ).
fof(f1416,plain,
( ~ sQ60_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1176,f48]) ).
fof(f1417,plain,
( ~ sQ60_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1416]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1078,f67]) ).
fof(f1436,plain,
( ~ sQ40_spl
| ~ sQ44_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f573,f801]) ).
fof(f1437,plain,
( ~ sQ40_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1436,f47]) ).
fof(f1438,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1437]) ).
fof(f1444,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1346,f1343]) ).
fof(f1445,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1347,f1343]) ).
fof(f1446,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ8_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f353,f1343]) ).
fof(f1447,plain,
( ~ sQ60_spl
| ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ8_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1446,f855]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ8_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f1446,f42]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ8_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1446,f65]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ8_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1446,f63]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1446,f61]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ8_spl
| product(e_4,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1446,f67]) ).
fof(f1453,plain,
( ~ sQ60_spl
| ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ8_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f1447,f244,f102,f260,f180,f283]) ).
fof(f1454,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f339,f1343]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| ~ greater(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f1454,f42]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1454,f65]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1454,f63]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1454,f61]) ).
fof(f1461,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f1456,f40]) ).
fof(f1462,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f1456,f39]) ).
fof(f1463,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f1456,f37]) ).
fof(f1467,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ16_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f549,f1343]) ).
fof(f1468,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1467,f54]) ).
fof(f1469,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1468]) ).
fof(f1470,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f133,f371]) ).
fof(f1471,plain,
( ~ sQ16_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f133,f551]) ).
fof(f1472,plain,
( ~ sQ16_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f133,f550]) ).
fof(f1473,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f133,f1031]) ).
fof(f1474,plain,
( ~ sQ16_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f133,f549]) ).
fof(f1475,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f133,f65]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f133,f63]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f133,f61]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ16_spl
| product(e_1,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f133,f67]) ).
fof(f1479,plain,
( ~ sQ0_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1473,f58]) ).
fof(f1480,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1479]) ).
fof(f1481,plain,
( ~ sQ56_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f271,f938]) ).
fof(f1482,plain,
( ~ sQ45_spl
| ~ sQ56_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f271,f570]) ).
fof(f1483,plain,
( ~ sQ60_spl
| ~ sQ56_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f271,f853]) ).
fof(f1484,plain,
( ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f271,f937]) ).
fof(f1485,plain,
( ~ sQ56_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f271,f936]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f271,f65]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f271,f63]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f271,f61]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ56_spl
| product(e_1,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f271,f67]) ).
fof(f1490,plain,
( ~ sQ60_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1483,f47]) ).
fof(f1491,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1490]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1078,f67]) ).
fof(f1510,plain,
( ~ sQ40_spl
| ~ sQ24_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f435,f801]) ).
fof(f1511,plain,
( ~ sQ40_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1510,f54]) ).
fof(f1512,plain,
( ~ sQ40_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1511]) ).
fof(f1514,plain,
( ~ sQ23_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f155,f442]) ).
fof(f1515,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f155,f424]) ).
fof(f1516,plain,
( ~ sQ23_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f155,f440]) ).
fof(f1517,plain,
( ~ sQ23_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f155,f439]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f155,f65]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f155,f63]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f155,f61]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ23_spl
| product(e_4,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f155,f67]) ).
fof(f1522,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1515,f51]) ).
fof(f1523,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1524,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ46_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f711,f391]) ).
fof(f1534,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1345,f1343]) ).
fof(f1535,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1346,f1343]) ).
fof(f1536,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1347,f1343]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ46_spl
| product(e_4,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1524,f67]) ).
fof(f1557,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1457,f1454]) ).
fof(f1558,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1458,f1454]) ).
fof(f1559,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1459,f1454]) ).
fof(f1560,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| ~ sQ25_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f432,f711]) ).
fof(f1561,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1560,f52]) ).
fof(f1562,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1561]) ).
fof(f1563,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f715,f250,f158,f210]) ).
fof(f1564,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ34_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f696,f1343]) ).
fof(f1565,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1564,f53]) ).
fof(f1566,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1565]) ).
fof(f1567,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| ~ sQ1_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1027,f711]) ).
fof(f1568,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1567,f58]) ).
fof(f1569,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1568]) ).
fof(f1570,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ46_spl
| ~ sQ43_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f635,f1524]) ).
fof(f1571,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ46_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1570,f50]) ).
fof(f1572,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ46_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1571]) ).
fof(f1573,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ0_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1031,f1343]) ).
fof(f1574,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1573,f57]) ).
fof(f1575,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1574]) ).
fof(f1576,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f587,f1030]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f587,f65]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f587,f63]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f587,f61]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f587,f67]) ).
fof(f1585,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ47_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1576,f979]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1576,f65]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1576,f63]) ).
fof(f1588,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1576,f61]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ47_spl
| product(e_4,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1576,f67]) ).
fof(f1590,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1585,f47]) ).
fof(f1591,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1590]) ).
fof(f1592,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f284,f854]) ).
fof(f1594,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f284,f853]) ).
fof(f1595,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f284,f852]) ).
fof(f1601,plain,
( ~ sQ53_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f261,f951]) ).
fof(f1602,plain,
( ~ sQ31_spl
| ~ sQ53_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f261,f404]) ).
fof(f1603,plain,
( ~ sQ53_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f261,f950]) ).
fof(f1604,plain,
( ~ sQ53_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f261,f949]) ).
fof(f1612,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ sQ46_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f711,f545]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ46_spl
| product(e_4,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1524,f67]) ).
fof(f1627,plain,
( ~ sQ10_spl
| ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1602,f337]) ).
fof(f1628,plain,
( ~ sQ10_spl
| ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1602,f336]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1602,f65]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1602,f63]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1602,f61]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ53_spl
| product(e_3,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1602,f67]) ).
fof(f1633,plain,
( ~ sQ4_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f90,f390]) ).
fof(f1634,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f90,f548]) ).
fof(f1635,plain,
( ~ sQ4_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f90,f389]) ).
fof(f1636,plain,
( ~ sQ4_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f90,f388]) ).
fof(f1641,plain,
( ~ sQ46_spl
| ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1634,f562]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f1634,f42]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1634,f65]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1634,f63]) ).
fof(f1648,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1634,f61]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ4_spl
| product(e_3,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1634,f67]) ).
fof(f1650,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f1645,f38]) ).
fof(f1651,plain,
( ~ sQ17_spl
| ~ sQ4_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f1645,f36]) ).
fof(f1652,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f483]) ).
fof(f1654,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f482]) ).
fof(f1655,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f481]) ).
fof(f1660,plain,
( ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f119,f315]) ).
fof(f1661,plain,
( ~ sQ50_spl
| ~ sQ13_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f119,f968]) ).
fof(f1662,plain,
( ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f119,f314]) ).
fof(f1663,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f119,f313]) ).
fof(f1669,plain,
( ~ sQ24_spl
| ~ sQ50_spl
| ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1661,f437]) ).
fof(f1671,plain,
( ~ sQ24_spl
| ~ sQ50_spl
| ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1661,f436]) ).
fof(f1672,plain,
( ~ sQ24_spl
| ~ sQ50_spl
| ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1661,f1315]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1661,f65]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1661,f63]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1661,f61]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ13_spl
| product(e_1,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1661,f67]) ).
fof(f1677,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ50_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f251,f744]) ).
fof(f1678,plain,
( ~ sQ13_spl
| ~ sQ50_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f251,f316]) ).
fof(f1679,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ50_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f251,f743]) ).
fof(f1680,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ50_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f251,f742]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f251,f65]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f251,f63]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f251,f61]) ).
fof(f1685,plain,
( ~ sQ39_spl
| ~ sQ13_spl
| ~ sQ50_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1678,f670]) ).
fof(f1687,plain,
( ~ sQ39_spl
| ~ sQ13_spl
| ~ sQ50_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1678,f669]) ).
fof(f1688,plain,
( ~ sQ39_spl
| ~ sQ13_spl
| ~ sQ50_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1678,f668]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ50_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1678,f65]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1678,f63]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ50_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1678,f61]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ50_spl
| product(e_4,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1678,f67]) ).
fof(f1693,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f654]) ).
fof(f1695,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f653]) ).
fof(f1696,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f652]) ).
fof(f1701,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f86,f398]) ).
fof(f1703,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f86,f397]) ).
fof(f1704,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f86,f396]) ).
fof(f1709,plain,
( ~ sQ13_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f312,f35]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| ~ sQ6_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
| ~ 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
| ~ sQ48_spl
| ~ sQ49_spl
| sQ50_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
% 0.00/0.04 % Problem : GRP133-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n016.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 20 20:06:36 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.43 % Drodi V4.1.1
% 1.43/0.75 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 1.43/0.75 % SZS output start Saturation for theBenchmark
% See solution above
% 1.43/0.80 % Elapsed time: 0.369353 seconds
% 1.43/0.80 % CPU time: 2.519777 seconds
% 1.43/0.80 % Total memory used: 24.014 MB
% 1.43/0.80 % Net memory used: 23.376 MB
%------------------------------------------------------------------------------