%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP129-2.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 12:32:47 PM UTC 2026
% Result : Unsatisfiable 3.29s 0.90s
% Output : CNFRefutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 91
% Syntax : Number of formulae : 976 ( 43 unt; 64 def)
% Number of atoms : 2867 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 3746 (1855 ~;1827 |; 0 &)
% ( 64 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 70 ( 69 usr; 65 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 221 ( 221 !; 0 ?)
% 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(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,
! [Y,X,Z1,Z2] :
( product(Z1,Y,Z2)
| ~ product(X,Z1,Z2)
| ~ product(Y,X,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(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,
! [Y,Z1,Z2] :
( product(Z1,Y,Z2)
| ! [X] :
( ~ product(X,Z1,Z2)
| ~ product(Y,X,Z1) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( product(X2,X0,X3)
| ~ product(X1,X2,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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(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(f295,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f243,f283,f286,f289,f292]) ).
fof(f299,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f125,f61]) ).
fof(f300,plain,
! [X0] :
( ~ sQ15_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f125,f67]) ).
fof(f304,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f122,f299]) ).
fof(f307,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f122,f63]) ).
fof(f309,plain,
! [X0] :
( ~ sQ14_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f122,f67]) ).
fof(f310,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f304,f55]) ).
fof(f311,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f310]) ).
fof(f313,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f119,f65]) ).
fof(f314,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f119,f63]) ).
fof(f315,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f119,f61]) ).
fof(f316,plain,
! [X0] :
( ~ sQ13_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f119,f67]) ).
fof(f320,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f116,f315]) ).
fof(f322,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f116,f65]) ).
fof(f323,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f116,f63]) ).
fof(f325,plain,
! [X0] :
( ~ sQ12_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f116,f67]) ).
fof(f326,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f47]) ).
fof(f327,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f326]) ).
fof(f328,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f112,f65]) ).
fof(f330,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f112,f61]) ).
fof(f331,plain,
! [X0] :
( ~ sQ11_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f112,f67]) ).
fof(f335,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f109,f330]) ).
fof(f336,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f109,f65]) ).
fof(f337,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f109,f63]) ).
fof(f339,plain,
! [X0] :
( ~ sQ10_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f109,f67]) ).
fof(f340,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f335,f55]) ).
fof(f341,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f340]) ).
fof(f342,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f106,f314]) ).
fof(f343,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f106,f65]) ).
fof(f346,plain,
! [X0] :
( ~ sQ9_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f106,f67]) ).
fof(f347,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f342,f50]) ).
fof(f348,plain,
( ~ sQ13_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f347]) ).
fof(f349,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f103,f323]) ).
fof(f350,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f103,f65]) ).
fof(f351,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f103,f63]) ).
fof(f353,plain,
! [X0] :
( ~ sQ8_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f103,f67]) ).
fof(f354,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f50]) ).
fof(f355,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f354]) ).
fof(f359,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f99,f65]) ).
fof(f361,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f99,f61]) ).
fof(f366,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f96,f361]) ).
fof(f367,plain,
( ~ sQ14_spl
| ~ sQ6_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f307]) ).
fof(f368,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f96,f65]) ).
fof(f371,plain,
! [X0] :
( ~ sQ6_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f96,f67]) ).
fof(f372,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f55]) ).
fof(f373,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f93,f361]) ).
fof(f375,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f93,f65]) ).
fof(f377,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f93,f61]) ).
fof(f378,plain,
! [X0] :
( ~ sQ5_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f93,f67]) ).
fof(f379,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f52]) ).
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,f53]) ).
fof(f382,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f381]) ).
fof(f386,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f90,f377]) ).
fof(f387,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f90,f351]) ).
fof(f391,plain,
! [X0] :
( ~ sQ4_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f90,f67]) ).
fof(f392,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f47]) ).
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,f54]) ).
fof(f395,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f394]) ).
fof(f396,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f86,f65]) ).
fof(f397,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f86,f63]) ).
fof(f402,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f181,f65]) ).
fof(f403,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f181,f63]) ).
fof(f405,plain,
! [X0] :
( ~ sQ31_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f181,f67]) ).
fof(f408,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f178,f63]) ).
fof(f410,plain,
! [X0] :
( ~ sQ30_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f178,f67]) ).
fof(f411,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f175,f313]) ).
fof(f413,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f175,f65]) ).
fof(f414,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f175,f63]) ).
fof(f416,plain,
! [X0] :
( ~ sQ29_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f175,f67]) ).
fof(f417,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f411,f55]) ).
fof(f418,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f417]) ).
fof(f420,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f172,f65]) ).
fof(f421,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f172,f63]) ).
fof(f423,plain,
! [X0] :
( ~ sQ28_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f172,f67]) ).
fof(f427,plain,
! [X0] :
( ~ sQ27_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f168,f67]) ).
fof(f429,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f165,f63]) ).
fof(f431,plain,
! [X0] :
( ~ sQ26_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f165,f67]) ).
fof(f433,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f162,f63]) ).
fof(f435,plain,
! [X0] :
( ~ sQ25_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f162,f67]) ).
fof(f436,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f159,f65]) ).
fof(f439,plain,
! [X0] :
( ~ sQ24_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f159,f67]) ).
fof(f444,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f403,f168]) ).
fof(f446,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f50]) ).
fof(f447,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f446]) ).
fof(f453,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f322,f172]) ).
fof(f454,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f55]) ).
fof(f455,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f454]) ).
fof(f456,plain,
( ~ sQ25_spl
| ~ sQ9_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f343,f162]) ).
fof(f457,plain,
( ~ sQ25_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f55]) ).
fof(f458,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( ~ sQ24_spl
| ~ sQ28_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f421,f159]) ).
fof(f462,plain,
( ~ sQ24_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f50]) ).
fof(f463,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f462]) ).
fof(f467,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f350,f159]) ).
fof(f468,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f467,f55]) ).
fof(f469,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f468]) ).
fof(f470,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f155,f65]) ).
fof(f471,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f155,f63]) ).
fof(f472,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f155,f61]) ).
fof(f473,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f155,f67]) ).
fof(f477,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f152,f472]) ).
fof(f482,plain,
! [X0] :
( ~ sQ22_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f67]) ).
fof(f483,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f55]) ).
fof(f484,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( ~ sQ25_spl
| ~ sQ21_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f149,f433]) ).
fof(f487,plain,
( ~ sQ29_spl
| ~ sQ21_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f149,f414]) ).
fof(f489,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f149,f375]) ).
fof(f490,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f149,f65]) ).
fof(f491,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f149,f63]) ).
fof(f493,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f149,f67]) ).
fof(f496,plain,
( ~ sQ25_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f54]) ).
fof(f497,plain,
( ~ sQ25_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f146,f416]) ).
fof(f502,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f67]) ).
fof(f503,plain,
( ~ sQ26_spl
| ~ sQ29_spl
| ~ sQ20_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f498,f431]) ).
fof(f504,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| ~ sQ20_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f498,f375]) ).
fof(f505,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f498,f65]) ).
fof(f506,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f498,f63]) ).
fof(f507,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f498,f61]) ).
fof(f508,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ20_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f498,f67]) ).
fof(f509,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f49]) ).
fof(f510,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f519,plain,
( ~ sQ20_spl
| ~ sQ30_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f410,f146]) ).
fof(f520,plain,
( ~ sQ20_spl
| ~ sQ30_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f519,f502]) ).
fof(f525,plain,
( ~ sQ20_spl
| ~ sQ30_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f520,f171,f177,f145]) ).
fof(f526,plain,
( ~ sQ20_spl
| ~ sQ28_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f423,f146]) ).
fof(f528,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f526,f65]) ).
fof(f538,plain,
( ~ sQ20_spl
| ~ sQ28_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f528,f146]) ).
fof(f539,plain,
( ~ sQ20_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f53]) ).
fof(f540,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f539]) ).
fof(f542,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f142,f396]) ).
fof(f543,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f142,f65]) ).
fof(f544,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f142,f63]) ).
fof(f546,plain,
! [X0] :
( ~ sQ19_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f142,f67]) ).
fof(f547,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f542,f55]) ).
fof(f548,plain,
( ~ sQ3_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f547]) ).
fof(f549,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f139,f391]) ).
fof(f553,plain,
! [X0] :
( ~ sQ18_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f139,f67]) ).
fof(f554,plain,
( ~ sQ4_spl
| ~ sQ18_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f549,f145,f138,f89]) ).
fof(f555,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f136,f65]) ).
fof(f558,plain,
! [X0] :
( ~ sQ17_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f136,f67]) ).
fof(f559,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f133,f65]) ).
fof(f560,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f133,f63]) ).
fof(f562,plain,
! [X0] :
( ~ sQ16_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f133,f67]) ).
fof(f564,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f237,f65]) ).
fof(f565,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f237,f63]) ).
fof(f567,plain,
! [X0] :
( ~ sQ47_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f237,f67]) ).
fof(f572,plain,
! [X0] :
( ~ sQ46_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f234,f67]) ).
fof(f573,plain,
( ~ sQ16_spl
| ~ sQ13_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f316,f133]) ).
fof(f574,plain,
( ~ sQ25_spl
| ~ sQ16_spl
| ~ sQ13_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f573,f435]) ).
fof(f576,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f573,f63]) ).
fof(f578,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ13_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f573,f67]) ).
fof(f587,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f353,f136]) ).
fof(f588,plain,
( ~ sQ28_spl
| ~ sQ17_spl
| ~ sQ8_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f587,f423]) ).
fof(f605,plain,
( ~ sQ17_spl
| ~ sQ9_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f346,f136]) ).
fof(f609,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ9_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f605,f67]) ).
fof(f612,plain,
( ~ sQ17_spl
| ~ sQ9_spl
| ~ sQ26_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f431,f605]) ).
fof(f614,plain,
( ~ sQ17_spl
| ~ sQ9_spl
| ~ sQ26_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f612,f609]) ).
fof(f619,plain,
( ~ sQ17_spl
| ~ sQ9_spl
| ~ sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f614,f161,f164,f105,f135]) ).
fof(f620,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f339,f136]) ).
fof(f621,plain,
( ~ sQ23_spl
| ~ sQ17_spl
| ~ sQ10_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f620,f473]) ).
fof(f636,plain,
( ~ sQ23_spl
| ~ sQ17_spl
| ~ sQ10_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f471,f621]) ).
fof(f637,plain,
( ~ sQ23_spl
| ~ sQ17_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f636,f51]) ).
fof(f638,plain,
( ~ sQ23_spl
| ~ sQ17_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f637]) ).
fof(f639,plain,
( ~ sQ29_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f53]) ).
fof(f640,plain,
( ~ sQ29_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f639]) ).
fof(f641,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f55]) ).
fof(f642,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f646,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ8_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f587,f67]) ).
fof(f647,plain,
( ~ sQ47_spl
| ~ sQ28_spl
| ~ sQ17_spl
| ~ sQ8_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f588,f567]) ).
fof(f652,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ28_spl
| ~ sQ17_spl
| ~ sQ8_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f647,f42]) ).
fof(f658,plain,
( ~ sQ47_spl
| ~ sQ28_spl
| ~ sQ17_spl
| ~ sQ8_spl
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f652,f39]) ).
fof(f660,plain,
( ~ sQ47_spl
| ~ sQ28_spl
| ~ sQ17_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f658,f32]) ).
fof(f661,plain,
( ~ sQ47_spl
| ~ sQ28_spl
| ~ sQ17_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f660]) ).
fof(f664,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f231,f63]) ).
fof(f665,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f231,f61]) ).
fof(f669,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f228,f63]) ).
fof(f671,plain,
! [X0] :
( ~ sQ44_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f228,f67]) ).
fof(f673,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f224,f63]) ).
fof(f674,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f224,f61]) ).
fof(f675,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f224,f67]) ).
fof(f676,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f221,f65]) ).
fof(f677,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f221,f63]) ).
fof(f679,plain,
! [X0] :
( ~ sQ42_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f67]) ).
fof(f682,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f665,f228]) ).
fof(f684,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f47]) ).
fof(f685,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f684]) ).
fof(f699,plain,
( ~ sQ9_spl
| ~ sQ41_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f218,f343]) ).
fof(f702,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f218,f63]) ).
fof(f704,plain,
! [X0] :
( ~ sQ41_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f67]) ).
fof(f707,plain,
( ~ sQ9_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f52]) ).
fof(f708,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f707]) ).
fof(f709,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f215,f674]) ).
fof(f710,plain,
( ~ sQ44_spl
| ~ sQ40_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f215,f669]) ).
fof(f711,plain,
( ~ sQ24_spl
| ~ sQ40_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f215,f436]) ).
fof(f714,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f215,f63]) ).
fof(f717,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f49]) ).
fof(f718,plain,
( ~ sQ43_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f717]) ).
fof(f719,plain,
( ~ sQ44_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f50]) ).
fof(f720,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f719]) ).
fof(f721,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f211,f470]) ).
fof(f722,plain,
( ~ sQ16_spl
| ~ sQ39_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f211,f562]) ).
fof(f724,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f211,f63]) ).
fof(f726,plain,
! [X0] :
( ~ sQ39_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f211,f67]) ).
fof(f727,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f721,f51]) ).
fof(f728,plain,
( ~ sQ23_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f727]) ).
fof(f729,plain,
( ~ sQ16_spl
| ~ sQ39_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f722,f102,f210,f132]) ).
fof(f730,plain,
( ~ sQ24_spl
| ~ sQ29_spl
| ~ sQ20_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f498,f439]) ).
fof(f732,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f498,f63]) ).
fof(f735,plain,
( ~ sQ24_spl
| ~ sQ29_spl
| ~ sQ20_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f730,f227,f145,f174,f158]) ).
fof(f736,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ25_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f435,f498]) ).
fof(f737,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ25_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f736,f230,f161,f145,f174]) ).
fof(f738,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ24_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f439,f498]) ).
fof(f746,plain,
( ~ sQ20_spl
| ~ sQ38_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f208,f502]) ).
fof(f747,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f208,f65]) ).
fof(f750,plain,
! [X0] :
( ~ sQ38_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f208,f67]) ).
fof(f751,plain,
( ~ sQ41_spl
| ~ sQ37_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f205,f702]) ).
fof(f752,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ37_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f205,f505]) ).
fof(f753,plain,
( ~ sQ24_spl
| ~ sQ37_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f205,f439]) ).
fof(f755,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f205,f63]) ).
fof(f757,plain,
! [X0] :
( ~ sQ37_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f205,f67]) ).
fof(f758,plain,
( ~ sQ41_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f751,f54]) ).
fof(f759,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f760,plain,
( ~ sQ29_spl
| ~ sQ36_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f202,f416]) ).
fof(f761,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f202,f65]) ).
fof(f762,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f202,f63]) ).
fof(f764,plain,
! [X0] :
( ~ sQ36_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f202,f67]) ).
fof(f768,plain,
! [X0] :
( ~ sQ35_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f198,f67]) ).
fof(f769,plain,
( ~ sQ4_spl
| ~ sQ34_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f195,f391]) ).
fof(f770,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f195,f65]) ).
fof(f771,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f195,f63]) ).
fof(f773,plain,
! [X0] :
( ~ sQ34_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f195,f67]) ).
fof(f774,plain,
( ~ sQ10_spl
| ~ sQ33_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f192,f339]) ).
fof(f775,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f192,f65]) ).
fof(f780,plain,
( ~ sQ16_spl
| ~ sQ32_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f189,f559]) ).
fof(f781,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f189,f65]) ).
fof(f782,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f189,f63]) ).
fof(f783,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f189,f61]) ).
fof(f785,plain,
( ~ sQ16_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f780,f51]) ).
fof(f786,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f787,plain,
( ~ sQ44_spl
| ~ sQ20_spl
| ~ sQ38_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f746,f671]) ).
fof(f792,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ36_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f760,f506]) ).
fof(f797,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f792,f51]) ).
fof(f798,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f797]) ).
fof(f799,plain,
( ~ sQ10_spl
| ~ sQ33_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f774,f336]) ).
fof(f804,plain,
( ~ sQ10_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f799,f52]) ).
fof(f805,plain,
( ~ sQ10_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f804]) ).
fof(f806,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f587,f201,f102,f135]) ).
fof(f807,plain,
( sQ24_spl
| ~ sQ20_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f160,f746]) ).
fof(f808,plain,
( sQ24_spl
| ~ sQ20_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f807]) ).
fof(f811,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f752,f50]) ).
fof(f812,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f822,plain,
( ~ sQ44_spl
| ~ sQ4_spl
| ~ sQ34_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f769,f671]) ).
fof(f831,plain,
( ~ sQ44_spl
| ~ sQ4_spl
| ~ sQ34_spl
| ~ sQ29_spl
| ~ sQ20_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f507,f822]) ).
fof(f833,plain,
( ~ sQ44_spl
| ~ sQ4_spl
| ~ sQ34_spl
| ~ sQ29_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f831,f47]) ).
fof(f834,plain,
( ~ sQ44_spl
| ~ sQ4_spl
| ~ sQ34_spl
| ~ sQ29_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f833]) ).
fof(f844,plain,
( ~ sQ26_spl
| ~ sQ29_spl
| ~ sQ20_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f508,f503]) ).
fof(f845,plain,
( ~ sQ26_spl
| ~ sQ29_spl
| ~ sQ20_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f844,f161,f145,f174,f164]) ).
fof(f853,plain,
( ~ sQ17_spl
| ~ sQ9_spl
| ~ sQ24_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f439,f605]) ).
fof(f861,plain,
( ~ sQ17_spl
| ~ sQ9_spl
| ~ sQ24_spl
| ~ sQ46_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f572,f853]) ).
fof(f863,plain,
( ~ sQ17_spl
| ~ sQ9_spl
| ~ sQ24_spl
| ~ sQ46_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f861,f609]) ).
fof(f869,plain,
( ~ sQ17_spl
| ~ sQ9_spl
| ~ sQ24_spl
| ~ sQ46_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f863,f174,f233,f158,f105,f135]) ).
fof(f882,plain,
! [X0] :
( ~ sQ63_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f293,f67]) ).
fof(f888,plain,
! [X0] :
( ~ sQ62_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f290,f67]) ).
fof(f889,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ61_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f287,f732]) ).
fof(f894,plain,
! [X0] :
( ~ sQ61_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f287,f67]) ).
fof(f895,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f889,f48]) ).
fof(f896,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f895]) ).
fof(f898,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f284,f65]) ).
fof(f901,plain,
! [X0] :
( ~ sQ60_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f284,f67]) ).
fof(f902,plain,
( ~ sQ35_spl
| ~ sQ59_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f280,f768]) ).
fof(f903,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f280,f65]) ).
fof(f906,plain,
! [X0] :
( ~ sQ59_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f280,f67]) ).
fof(f907,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f277,f676]) ).
fof(f908,plain,
( ~ sQ39_spl
| ~ sQ58_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f277,f726]) ).
fof(f912,plain,
! [X0] :
( ~ sQ58_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f277,f67]) ).
fof(f913,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f907,f47]) ).
fof(f914,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f913]) ).
fof(f916,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f274,f63]) ).
fof(f922,plain,
! [X0] :
( ~ sQ56_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f271,f67]) ).
fof(f951,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f572,f271]) ).
fof(f979,plain,
( ~ sQ56_spl
| ~ sQ8_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f350,f271]) ).
fof(f980,plain,
( ~ sQ56_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f979,f49]) ).
fof(f981,plain,
( ~ sQ56_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f982,plain,
( sQ15_spl
| ~ sQ35_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f126,f902]) ).
fof(f983,plain,
( sQ15_spl
| ~ sQ35_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f982]) ).
fof(f984,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ46_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f951,f42]) ).
fof(f989,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f984,f38]) ).
fof(f991,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f989,f32]) ).
fof(f992,plain,
( ~ sQ56_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f991]) ).
fof(f993,plain,
( ~ sQ18_spl
| ~ sQ55_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f267,f553]) ).
fof(f997,plain,
! [X0] :
( ~ sQ55_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f267,f67]) ).
fof(f998,plain,
( ~ sQ23_spl
| ~ sQ54_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f264,f473]) ).
fof(f999,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f264,f65]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ54_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f264,f67]) ).
fof(f1003,plain,
( ~ sQ23_spl
| ~ sQ54_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f998,f180,f263,f154]) ).
fof(f1005,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f261,f63]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ53_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f261,f67]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f258,f65]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f258,f63]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ52_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f258,f67]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f254,f65]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f254,f63]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f254,f61]) ).
fof(f1026,plain,
( ~ sQ18_spl
| ~ sQ55_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f997,f993]) ).
fof(f1027,plain,
( ~ sQ18_spl
| ~ sQ55_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1026,f141,f266,f138]) ).
fof(f1028,plain,
( ~ sQ53_spl
| ~ sQ26_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f431,f261]) ).
fof(f1029,plain,
( ~ sQ53_spl
| ~ sQ26_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1028,f233,f164,f260]) ).
fof(f1030,plain,
( ~ sQ52_spl
| ~ sQ31_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f405,f258]) ).
fof(f1031,plain,
( ~ sQ52_spl
| ~ sQ31_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1030,f292,f180,f257]) ).
fof(f1032,plain,
( ~ sQ52_spl
| ~ sQ36_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f761,f258]) ).
fof(f1033,plain,
( ~ sQ52_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1032,f47]) ).
fof(f1034,plain,
( ~ sQ52_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1033]) ).
fof(f1050,plain,
( ~ sQ51_spl
| ~ sQ19_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f543,f254]) ).
fof(f1051,plain,
( ~ sQ51_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f48]) ).
fof(f1052,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1051]) ).
fof(f1053,plain,
( ~ sQ17_spl
| ~ sQ9_spl
| ~ sQ24_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f853,f214,f158,f105,f135]) ).
fof(f1054,plain,
( ~ sQ24_spl
| ~ sQ37_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f753,f214,f204,f158]) ).
fof(f1055,plain,
( ~ sQ24_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f51]) ).
fof(f1056,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1055]) ).
fof(f1057,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f251,f1014]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f251,f65]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ50_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f251,f67]) ).
fof(f1062,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1057,f55]) ).
fof(f1063,plain,
( ~ sQ51_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1062]) ).
fof(f1064,plain,
( ~ sQ53_spl
| ~ sQ49_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f248,f1005]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ49_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f248,f67]) ).
fof(f1069,plain,
( ~ sQ53_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1064,f58]) ).
fof(f1070,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ48_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f245,f67]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f83,f65]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f83,f63]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ2_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f83,f67]) ).
fof(f1082,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f316,f245]) ).
fof(f1092,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f371,f83]) ).
fof(f1093,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1092,f138,f95,f82]) ).
fof(f1094,plain,
( ~ sQ16_spl
| ~ sQ13_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f573,f260,f118,f132]) ).
fof(f1097,plain,
( ~ sQ25_spl
| ~ sQ16_spl
| ~ sQ13_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f574,f230,f118,f132,f161]) ).
fof(f1109,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| ~ sQ16_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f576,f1082]) ).
fof(f1110,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1109,f48]) ).
fof(f1111,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1110]) ).
fof(f1112,plain,
( ~ sQ17_spl
| ~ sQ9_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f605,f204,f105,f135]) ).
fof(f1113,plain,
( ~ sQ48_spl
| ~ sQ12_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f325,f245]) ).
fof(f1114,plain,
( ~ sQ48_spl
| ~ sQ12_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1113,f283,f115,f244]) ).
fof(f1115,plain,
( ~ sQ18_spl
| ~ sQ55_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f993,f121,f266,f138]) ).
fof(f1119,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f80,f339]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f80,f63]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ1_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f80,f67]) ).
fof(f1129,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1119,f371]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1119,f63]) ).
fof(f1134,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| ~ sQ1_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1129,f164,f79,f108,f95]) ).
fof(f1158,plain,
( ~ sQ32_spl
| ~ sQ0_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f77,f781]) ).
fof(f1159,plain,
( ~ sQ14_spl
| ~ sQ0_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f77,f309]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ0_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f77,f67]) ).
fof(f1164,plain,
( ~ sQ32_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f57]) ).
fof(f1165,plain,
( ~ sQ32_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1166,plain,
( ~ sQ14_spl
| ~ sQ0_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1159,f250,f76,f121]) ).
fof(f1168,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ1_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f1119,f378]) ).
fof(f1177,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f139,f1078]) ).
fof(f1178,plain,
( ~ sQ50_spl
| ~ sQ18_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f139,f1058]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f139,f63]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ18_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f139,f67]) ).
fof(f1185,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1177,f55]) ).
fof(f1186,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1185]) ).
fof(f1188,plain,
( ~ sQ57_spl
| ~ sQ61_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f287,f916]) ).
fof(f1189,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f287,f1005]) ).
fof(f1198,plain,
( ~ sQ57_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1188,f47]) ).
fof(f1199,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1198]) ).
fof(f1200,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1189,f48]) ).
fof(f1201,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1200]) ).
fof(f1204,plain,
( ~ sQ55_spl
| ~ sQ14_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f122,f997]) ).
fof(f1211,plain,
( ~ sQ55_spl
| ~ sQ14_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1204,f141,f121,f266]) ).
fof(f1212,plain,
( ~ sQ14_spl
| ~ sQ52_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1011,f122]) ).
fof(f1213,plain,
( ~ sQ14_spl
| ~ sQ52_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1212,f132,f257,f121]) ).
fof(f1214,plain,
( ~ sQ14_spl
| ~ sQ53_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1007,f122]) ).
fof(f1237,plain,
( ~ sQ14_spl
| ~ sQ54_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1002,f122]) ).
fof(f1238,plain,
( ~ sQ14_spl
| ~ sQ54_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1237,f138,f263,f121]) ).
fof(f1240,plain,
( ~ sQ43_spl
| ~ sQ35_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f198,f673]) ).
fof(f1242,plain,
( ~ sQ51_spl
| ~ sQ35_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f198,f1012]) ).
fof(f1243,plain,
( ~ sQ1_spl
| ~ sQ35_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f198,f1123]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f198,f63]) ).
fof(f1249,plain,
( ~ sQ43_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1240,f57]) ).
fof(f1250,plain,
( ~ sQ43_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1249]) ).
fof(f1252,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f106,f1121]) ).
fof(f1254,plain,
( ~ sQ42_spl
| ~ sQ9_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f106,f679]) ).
fof(f1260,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f52]) ).
fof(f1261,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1260]) ).
fof(f1264,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f136,f353]) ).
fof(f1265,plain,
( ~ sQ33_spl
| ~ sQ17_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f136,f775]) ).
fof(f1271,plain,
( ~ sQ33_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1265,f54]) ).
fof(f1272,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1271]) ).
fof(f1274,plain,
( ~ sQ37_spl
| ~ sQ33_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f192,f755]) ).
fof(f1283,plain,
( ~ sQ37_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1274,f58]) ).
fof(f1284,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1285,plain,
( ~ sQ29_spl
| ~ sQ36_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f760,f273,f201,f174]) ).
fof(f1286,plain,
( ~ sQ51_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1242,f50]) ).
fof(f1287,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1286]) ).
fof(f1288,plain,
( ~ sQ50_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1178,f53]) ).
fof(f1289,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1303,plain,
( ~ sQ23_spl
| ~ sQ16_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f562,f155]) ).
fof(f1311,plain,
( ~ sQ23_spl
| ~ sQ16_spl
| ~ sQ30_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f410,f1303]) ).
fof(f1319,plain,
( ~ sQ23_spl
| ~ sQ16_spl
| ~ sQ30_spl
| ~ sQ4_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f391,f1311]) ).
fof(f1320,plain,
( ~ sQ23_spl
| ~ sQ16_spl
| ~ sQ30_spl
| ~ sQ4_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f1319,f171,f89,f177,f132,f154]) ).
fof(f1324,plain,
( ~ sQ43_spl
| ~ sQ9_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f106,f675]) ).
fof(f1329,plain,
( ~ sQ43_spl
| ~ sQ9_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1324,f197,f105,f223]) ).
fof(f1339,plain,
( ~ sQ23_spl
| ~ sQ16_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1303,f89,f132,f154]) ).
fof(f1345,plain,
( ~ sQ52_spl
| ~ sQ30_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f178,f1011]) ).
fof(f1352,plain,
( ~ sQ52_spl
| ~ sQ30_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1345,f145,f177,f257]) ).
fof(f1362,plain,
( ~ sQ60_spl
| ~ sQ28_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f420,f284]) ).
fof(f1363,plain,
( ~ sQ60_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1362,f48]) ).
fof(f1364,plain,
( ~ sQ60_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1363]) ).
fof(f1367,plain,
( ~ sQ50_spl
| ~ sQ2_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f83,f1058]) ).
fof(f1368,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f83,f391]) ).
fof(f1374,plain,
( ~ sQ50_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f56]) ).
fof(f1375,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1374]) ).
fof(f1378,plain,
( ~ sQ13_spl
| ~ sQ45_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f313]) ).
fof(f1379,plain,
( ~ sQ59_spl
| ~ sQ45_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f906]) ).
fof(f1386,plain,
( ~ sQ13_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1378,f52]) ).
fof(f1387,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1386]) ).
fof(f1397,plain,
( ~ sQ29_spl
| ~ sQ4_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f90,f416]) ).
fof(f1405,plain,
( ~ sQ9_spl
| ~ sQ29_spl
| ~ sQ4_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1397,f346]) ).
fof(f1411,plain,
( ~ sQ9_spl
| ~ sQ29_spl
| ~ sQ4_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1405,f230,f89,f174,f105]) ).
fof(f1414,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f323,f90]) ).
fof(f1415,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1414,f53]) ).
fof(f1416,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1415]) ).
fof(f1418,plain,
( ~ sQ17_spl
| ~ sQ10_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f620,f207,f108,f135]) ).
fof(f1419,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f498,f260,f145,f174]) ).
fof(f1426,plain,
( ~ sQ59_spl
| ~ sQ45_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1379,f223,f230,f279]) ).
fof(f1429,plain,
( ~ sQ17_spl
| ~ sQ49_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f248,f555]) ).
fof(f1430,plain,
( ~ sQ9_spl
| ~ sQ49_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f248,f346]) ).
fof(f1436,plain,
( ~ sQ17_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1429,f48]) ).
fof(f1437,plain,
( ~ sQ17_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1436]) ).
fof(f1480,plain,
( ~ sQ38_spl
| ~ sQ6_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f96,f747]) ).
fof(f1487,plain,
( ~ sQ38_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1480,f57]) ).
fof(f1488,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1487]) ).
fof(f1490,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f323]) ).
fof(f1492,plain,
( ~ sQ16_spl
| ~ sQ0_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f77,f559]) ).
fof(f1499,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1490,f56]) ).
fof(f1500,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1499]) ).
fof(f1522,plain,
( ~ sQ53_spl
| ~ sQ57_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f274,f1005]) ).
fof(f1535,plain,
( ~ sQ51_spl
| ~ sQ63_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f293,f1013]) ).
fof(f1544,plain,
( ~ sQ51_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1535,f49]) ).
fof(f1545,plain,
( ~ sQ51_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1544]) ).
fof(f1550,plain,
( ~ sQ60_spl
| ~ sQ12_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f116,f898]) ).
fof(f1558,plain,
( ~ sQ60_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1550,f56]) ).
fof(f1559,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1558]) ).
fof(f1561,plain,
( ~ sQ40_spl
| ~ sQ32_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f189,f714]) ).
fof(f1568,plain,
( ~ sQ40_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1561,f57]) ).
fof(f1569,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1568]) ).
fof(f1571,plain,
( ~ sQ53_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1522,f51]) ).
fof(f1572,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1571]) ).
fof(f1573,plain,
( ~ sQ1_spl
| ~ sQ35_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f1243,f105,f197,f79]) ).
fof(f1575,plain,
( ~ sQ19_spl
| ~ sQ23_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f155,f544]) ).
fof(f1576,plain,
( ~ sQ31_spl
| ~ sQ23_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f155,f403]) ).
fof(f1584,plain,
( ~ sQ19_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1575,f55]) ).
fof(f1585,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1584]) ).
fof(f1589,plain,
( ~ sQ63_spl
| ~ sQ12_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f116,f882]) ).
fof(f1595,plain,
( ~ sQ63_spl
| ~ sQ12_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1589,f253,f115,f292]) ).
fof(f1601,plain,
( ~ sQ5_spl
| ~ sQ53_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f261,f375]) ).
fof(f1602,plain,
( ~ sQ25_spl
| ~ sQ53_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f261,f435]) ).
fof(f1608,plain,
( ~ sQ5_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1601,f49]) ).
fof(f1609,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1608]) ).
fof(f1610,plain,
( ~ sQ53_spl
| ~ sQ24_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f439,f261]) ).
fof(f1611,plain,
( ~ sQ53_spl
| ~ sQ24_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1610,f227,f158,f260]) ).
fof(f1614,plain,
( ~ sQ33_spl
| ~ sQ1_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f80,f775]) ).
fof(f1616,plain,
( ~ sQ11_spl
| ~ sQ1_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f80,f331]) ).
fof(f1621,plain,
( ~ sQ33_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1614,f57]) ).
fof(f1622,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1621]) ).
fof(f1623,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1368,f132,f82,f89]) ).
fof(f1626,plain,
( ~ sQ52_spl
| ~ sQ20_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f1008]) ).
fof(f1628,plain,
( ~ sQ31_spl
| ~ sQ20_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f146,f405]) ).
fof(f1633,plain,
( ~ sQ52_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1626,f53]) ).
fof(f1634,plain,
( ~ sQ52_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1633]) ).
fof(f1635,plain,
( ~ sQ28_spl
| ~ sQ17_spl
| ~ sQ8_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f588,f270,f102,f135,f171]) ).
fof(f1636,plain,
( ~ sQ32_spl
| ~ sQ8_spl
| ~ sQ17_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1264,f782]) ).
fof(f1641,plain,
( ~ sQ32_spl
| ~ sQ8_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1636,f55]) ).
fof(f1642,plain,
( ~ sQ32_spl
| ~ sQ8_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1641]) ).
fof(f1646,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| ~ sQ30_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f410,f1264]) ).
fof(f1647,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| ~ sQ30_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f1646,f646]) ).
fof(f1652,plain,
( ~ sQ17_spl
| ~ sQ8_spl
| ~ sQ30_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f1647,f171,f177,f102,f135]) ).
fof(f1653,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| ~ sQ31_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f405,f1264]) ).
fof(f1654,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| ~ sQ31_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1653,f279,f180,f135,f102]) ).
fof(f1674,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f96,f493]) ).
fof(f1682,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1674,f491]) ).
fof(f1692,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1682,f58]) ).
fof(f1693,plain,
( ~ sQ21_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1692]) ).
fof(f1695,plain,
( ~ sQ25_spl
| ~ sQ17_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f136,f433]) ).
fof(f1697,plain,
( ~ sQ10_spl
| ~ sQ17_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f136,f339]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ17_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f136,f67]) ).
fof(f1703,plain,
( ~ sQ25_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1695,f57]) ).
fof(f1704,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1705,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| ~ sQ1_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1119,f783]) ).
fof(f1711,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1705,f53]) ).
fof(f1712,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1711]) ).
fof(f1713,plain,
( ~ sQ11_spl
| ~ sQ1_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1616,f197,f79,f111]) ).
fof(f1729,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ42_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f679,f1168]) ).
fof(f1730,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ42_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1729,f1131]) ).
fof(f1737,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1730,f55]) ).
fof(f1738,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1737]) ).
fof(f1739,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ41_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f704,f1168]) ).
fof(f1740,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ41_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1739,f204,f217,f79,f108,f92]) ).
fof(f1741,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ43_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f675,f1168]) ).
fof(f1742,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ43_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f1741,f546]) ).
fof(f1748,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ43_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1742,f111,f223,f79,f108,f92,f141]) ).
fof(f1755,plain,
( ~ sQ19_spl
| ~ sQ55_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f267,f546]) ).
fof(f1762,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ55_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1755,f1068]) ).
fof(f1770,plain,
( ~ sQ55_spl
| ~ sQ16_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f562,f267]) ).
fof(f1775,plain,
( ~ sQ56_spl
| ~ sQ61_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f287,f922]) ).
fof(f1797,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f558,f267]) ).
fof(f1798,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1797,f118,f135,f266]) ).
fof(f1799,plain,
( ~ sQ56_spl
| ~ sQ61_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f894,f1775]) ).
fof(f1800,plain,
( ~ sQ56_spl
| ~ sQ61_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f1799,f273,f286,f270]) ).
fof(f1801,plain,
( ~ sQ49_spl
| ~ sQ19_spl
| ~ sQ55_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1762,f79,f266,f141,f247]) ).
fof(f1803,plain,
( ~ sQ19_spl
| ~ sQ55_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1755,f124,f266,f141]) ).
fof(f1804,plain,
( ~ sQ16_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1492,f58]) ).
fof(f1805,plain,
( ~ sQ16_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1804]) ).
fof(f1832,plain,
( ~ sQ31_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1576,f53]) ).
fof(f1833,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1832]) ).
fof(f1891,plain,
( ~ sQ11_spl
| ~ sQ33_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f192,f331]) ).
fof(f1897,plain,
( ~ sQ11_spl
| ~ sQ33_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1891,f223,f191,f111]) ).
fof(f1916,plain,
( ~ sQ18_spl
| ~ sQ26_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f165,f1182]) ).
fof(f1919,plain,
( ~ sQ39_spl
| ~ sQ26_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f165,f726]) ).
fof(f1924,plain,
( ~ sQ18_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1916,f52]) ).
fof(f1925,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1924]) ).
fof(f1934,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f764,f165]) ).
fof(f1935,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1934,f145,f201,f164]) ).
fof(f1967,plain,
( ~ sQ31_spl
| ~ sQ20_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1628,f266,f145,f180]) ).
fof(f1968,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| ~ sQ31_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f405,f1264]) ).
fof(f1976,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| ~ sQ31_spl
| ~ sQ34_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f773,f1968]) ).
fof(f1977,plain,
( ~ sQ8_spl
| ~ sQ17_spl
| ~ sQ31_spl
| ~ sQ34_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f1976,f121,f194,f180,f135,f102]) ).
fof(f1979,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f136,f491]) ).
fof(f1981,plain,
( ~ sQ11_spl
| ~ sQ17_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f136,f331]) ).
fof(f1987,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1979,f58]) ).
fof(f1988,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1987]) ).
fof(f1990,plain,
( ~ sQ34_spl
| ~ sQ46_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f234,f771]) ).
fof(f1993,plain,
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ46_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f234,f578]) ).
fof(f2000,plain,
( ~ sQ34_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1990,f49]) ).
fof(f2001,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2000]) ).
fof(f2002,plain,
( ~ sQ55_spl
| ~ sQ16_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1770,f115,f132,f266]) ).
fof(f2003,plain,
( ~ sQ59_spl
| ~ sQ25_spl
| ~ sQ53_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1602,f906]) ).
fof(f2008,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ53_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1602,f67]) ).
fof(f2010,plain,
( ~ sQ59_spl
| ~ sQ25_spl
| ~ sQ53_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2003,f903]) ).
fof(f2016,plain,
( ~ sQ59_spl
| ~ sQ25_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2010,f50]) ).
fof(f2017,plain,
( ~ sQ59_spl
| ~ sQ25_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2016]) ).
fof(f2020,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f133,f309]) ).
fof(f2026,plain,
( ~ sQ14_spl
| ~ sQ16_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f2020,f263,f132,f121]) ).
fof(f2029,plain,
( ~ sQ31_spl
| ~ sQ63_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f293,f402]) ).
fof(f2036,plain,
( ~ sQ31_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2029,f48]) ).
fof(f2037,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2038,plain,
( ~ sQ16_spl
| ~ sQ12_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f325,f133]) ).
fof(f2039,plain,
( ~ sQ16_spl
| ~ sQ12_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f2038,f257,f115,f132]) ).
fof(f2041,plain,
( ~ sQ39_spl
| ~ sQ43_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f224,f724]) ).
fof(f2043,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f224,f328]) ).
fof(f2044,plain,
( ~ sQ59_spl
| ~ sQ43_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f224,f903]) ).
fof(f2051,plain,
( ~ sQ39_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2041,f51]) ).
fof(f2052,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2051]) ).
fof(f2053,plain,
( ~ sQ11_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2043,f52]) ).
fof(f2054,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2053]) ).
fof(f2055,plain,
( ~ sQ39_spl
| ~ sQ26_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1919,f154,f164,f210]) ).
fof(f2056,plain,
( ~ sQ39_spl
| ~ sQ58_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f908,f180,f276,f210]) ).
fof(f2057,plain,
( ~ sQ44_spl
| ~ sQ20_spl
| ~ sQ38_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f787,f257,f207,f145,f227]) ).
fof(f2103,plain,
( ~ sQ36_spl
| ~ sQ10_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f109,f764]) ).
fof(f2108,plain,
( ~ sQ36_spl
| ~ sQ10_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f2103,f132,f108,f201]) ).
fof(f2112,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f202,f410]) ).
fof(f2119,plain,
( ~ sQ36_spl
| ~ sQ30_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2112,f764]) ).
fof(f2126,plain,
( ~ sQ11_spl
| ~ sQ17_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f1981,f210,f135,f111]) ).
fof(f2127,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f405,f202]) ).
fof(f2128,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f2127,f279,f180,f201]) ).
fof(f2131,plain,
( ~ sQ22_spl
| ~ sQ10_spl
| ~ sQ17_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1697,f482]) ).
fof(f2136,plain,
( ~ sQ22_spl
| ~ sQ10_spl
| ~ sQ17_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f2131,f164,f135,f108,f151]) ).
fof(f2139,plain,
( ~ sQ47_spl
| ~ sQ39_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f211,f565]) ).
fof(f2140,plain,
( ~ sQ35_spl
| ~ sQ39_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f211,f1246]) ).
fof(f2142,plain,
( ~ sQ7_spl
| ~ sQ39_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f211,f359]) ).
fof(f2144,plain,
( ~ sQ18_spl
| ~ sQ39_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f211,f1184]) ).
fof(f2148,plain,
! [X0] :
( ~ sQ39_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f211,f67]) ).
fof(f2149,plain,
( ~ sQ47_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2139,f53]) ).
fof(f2150,plain,
( ~ sQ47_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2149]) ).
fof(f2151,plain,
( ~ sQ14_spl
| ~ sQ53_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1214,f135,f260,f121]) ).
fof(f2152,plain,
( ~ sQ25_spl
| ~ sQ53_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1602,f230,f260,f161]) ).
fof(f2154,plain,
( ~ sQ26_spl
| ~ sQ22_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f152,f429]) ).
fof(f2156,plain,
( ~ sQ38_spl
| ~ sQ22_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f152,f747]) ).
fof(f2158,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f482]) ).
fof(f2163,plain,
( ~ sQ26_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2154,f54]) ).
fof(f2164,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2163]) ).
fof(f2165,plain,
( ~ sQ38_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2156,f54]) ).
fof(f2166,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2165]) ).
fof(f2167,plain,
( ~ sQ42_spl
| ~ sQ9_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1254,f194,f105,f220]) ).
fof(f2170,plain,
( ~ sQ59_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2044,f50]) ).
fof(f2171,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2170]) ).
fof(f2174,plain,
( ~ sQ15_spl
| ~ sQ16_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f133,f300]) ).
fof(f2180,plain,
( ~ sQ15_spl
| ~ sQ16_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2174,f266,f132,f124]) ).
fof(f2181,plain,
( ~ sQ7_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2142,f52]) ).
fof(f2182,plain,
( ~ sQ7_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2181]) ).
fof(f2194,plain,
( ~ sQ29_spl
| ~ sQ52_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f258,f416]) ).
fof(f2202,plain,
( ~ sQ29_spl
| ~ sQ52_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2194,f413]) ).
fof(f2209,plain,
( ~ sQ29_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2202,f48]) ).
fof(f2210,plain,
( ~ sQ29_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2209]) ).
fof(f2212,plain,
( ~ sQ36_spl
| ~ sQ30_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f2119,f171,f177,f201]) ).
fof(f2215,plain,
( ~ sQ44_spl
| ~ sQ4_spl
| ~ sQ34_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f822,f257,f194,f89,f227]) ).
fof(f2216,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| ~ sQ34_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f769,f560]) ).
fof(f2222,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2216,f52]) ).
fof(f2223,plain,
( ~ sQ16_spl
| ~ sQ4_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2222]) ).
fof(f2225,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f109,f1079]) ).
fof(f2227,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f109,f750]) ).
fof(f2233,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2225,f52]) ).
fof(f2234,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2233]) ).
fof(f2237,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f133,f316]) ).
fof(f2245,plain,
( ~ sQ21_spl
| ~ sQ13_spl
| ~ sQ16_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2237,f490]) ).
fof(f2251,plain,
( ~ sQ21_spl
| ~ sQ13_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2245,f48]) ).
fof(f2252,plain,
( ~ sQ21_spl
| ~ sQ13_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2251]) ).
fof(f2253,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ27_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f427,f2237]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ27_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f2253,f42]) ).
fof(f2262,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ27_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f2257,f40]) ).
fof(f2265,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2262,f33]) ).
fof(f2266,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2265]) ).
fof(f2274,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ24_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f439,f2237]) ).
fof(f2305,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ36_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f762,f2274]) ).
fof(f2306,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2305,f48]) ).
fof(f2307,plain,
( ~ sQ13_spl
| ~ sQ16_spl
| ~ sQ24_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2306]) ).
fof(f2308,plain,
( ~ sQ16_spl
| ~ sQ13_spl
| ~ sQ46_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1993,f161,f233,f118,f132]) ).
fof(f2311,plain,
( ~ sQ21_spl
| ~ sQ53_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f261,f490]) ).
fof(f2313,plain,
( ~ sQ27_spl
| ~ sQ53_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f261,f427]) ).
fof(f2318,plain,
( ~ sQ21_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2311,f48]) ).
fof(f2319,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2320,plain,
( ~ sQ53_spl
| ~ sQ24_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f439,f261]) ).
fof(f2322,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f2320,f65]) ).
fof(f2325,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ24_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2320,f67]) ).
fof(f2332,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f435,f261]) ).
fof(f2341,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| ~ sQ58_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f912,f2332]) ).
fof(f2342,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| ~ sQ58_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2341,f220,f276,f161,f260]) ).
fof(f2343,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| ~ sQ56_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f922,f2332]) ).
fof(f2344,plain,
( ~ sQ25_spl
| ~ sQ53_spl
| ~ sQ56_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f2343,f2008]) ).
fof(f2349,plain,
( ~ sQ25_spl
| ~ sQ53_spl
| ~ sQ56_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f2344,f273,f270,f260,f161]) ).
fof(f2359,plain,
( ~ sQ53_spl
| ~ sQ24_spl
| ~ sQ60_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f901,f2320]) ).
fof(f2360,plain,
( ~ sQ53_spl
| ~ sQ24_spl
| ~ sQ60_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f2359,f2325]) ).
fof(f2366,plain,
( ~ sQ53_spl
| ~ sQ24_spl
| ~ sQ60_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2360,f2322]) ).
fof(f2372,plain,
( ~ sQ53_spl
| ~ sQ24_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2366,f47]) ).
fof(f2373,plain,
( ~ sQ53_spl
| ~ sQ24_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2372]) ).
fof(f2379,plain,
( ~ sQ22_spl
| ~ sQ18_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1182,f2158]) ).
fof(f2380,plain,
( ~ sQ22_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2379,f55]) ).
fof(f2381,plain,
( ~ sQ22_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2380]) ).
fof(f2385,plain,
( ~ sQ22_spl
| ~ sQ30_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f408,f2158]) ).
fof(f2386,plain,
( ~ sQ22_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2385,f53]) ).
fof(f2387,plain,
( ~ sQ22_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2386]) ).
fof(f2389,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f112,f397]) ).
fof(f2391,plain,
( ~ sQ59_spl
| ~ sQ11_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f112,f903]) ).
fof(f2398,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2389,f52]) ).
fof(f2399,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2398]) ).
fof(f2400,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f2227,f138,f108,f207]) ).
fof(f2404,plain,
( ~ sQ37_spl
| ~ sQ42_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f757]) ).
fof(f2409,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f2404,f679]) ).
fof(f2414,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2409,f207,f204,f220]) ).
fof(f2417,plain,
( ~ sQ52_spl
| ~ sQ48_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f245,f1009]) ).
fof(f2426,plain,
( ~ sQ52_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2417,f58]) ).
fof(f2427,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f2426]) ).
fof(f2438,plain,
( ~ sQ7_spl
| ~ sQ23_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f155,f359]) ).
fof(f2440,plain,
( ~ sQ18_spl
| ~ sQ23_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f155,f1184]) ).
fof(f2445,plain,
( ~ sQ7_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2438,f55]) ).
fof(f2446,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2445]) ).
fof(f2447,plain,
( ~ sQ59_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2391,f56]) ).
fof(f2448,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2447]) ).
fof(f2456,plain,
( ~ sQ23_spl
| ~ sQ18_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f2440,f473]) ).
fof(f2461,plain,
( ~ sQ23_spl
| ~ sQ18_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f2456,f141,f138,f154]) ).
fof(f2479,plain,
( ~ sQ18_spl
| ~ sQ39_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f2148,f2144]) ).
fof(f2480,plain,
( ~ sQ18_spl
| ~ sQ39_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f2479,f141,f210,f138]) ).
fof(f2502,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ24_spl
| ~ sQ62_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f888,f738]) ).
fof(f2503,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ24_spl
| ~ sQ62_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f2502,f276,f289,f158,f145,f174]) ).
fof(f2511,plain,
( ~ sQ35_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2140,f55]) ).
fof(f2512,plain,
( ~ sQ35_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2516,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f77,f316]) ).
fof(f2524,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ0_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f2516,f339]) ).
fof(f2528,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ0_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2516,f67]) ).
fof(f2529,plain,
( ~ sQ10_spl
| ~ sQ13_spl
| ~ sQ0_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2524,f233,f76,f118,f108]) ).
fof(f2551,plain,
( ~ sQ27_spl
| ~ sQ21_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f149,f427]) ).
fof(f2556,plain,
( ~ sQ27_spl
| ~ sQ21_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f2551,f210,f148,f167]) ).
fof(f2558,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f208,f677]) ).
fof(f2561,plain,
( ~ sQ21_spl
| ~ sQ38_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f208,f493]) ).
fof(f2566,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2558,f54]) ).
fof(f2567,plain,
( ~ sQ42_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2566]) ).
fof(f2568,plain,
( ~ sQ21_spl
| ~ sQ38_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f2561,f161,f207,f148]) ).
fof(f2579,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f142,f1123]) ).
fof(f2588,plain,
( ~ sQ47_spl
| ~ sQ15_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f125,f564]) ).
fof(f2589,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f125,f1061]) ).
fof(f2595,plain,
( ~ sQ47_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2588,f57]) ).
fof(f2596,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2595]) ).
fof(f2597,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2589,f82,f124,f250]) ).
fof(f2601,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1075,f125]) ).
fof(f2602,plain,
( ~ sQ19_spl
| ~ sQ0_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1163,f142]) ).
fof(f2603,plain,
( ~ sQ19_spl
| ~ sQ0_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2602,f89,f76,f141]) ).
fof(f2604,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f2601,f300]) ).
fof(f2609,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2604,f253,f244,f124]) ).
fof(f2610,plain,
( ~ sQ15_spl
| ~ sQ49_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1068,f125]) ).
fof(f2611,plain,
( ~ sQ15_spl
| ~ sQ49_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f2610,f79,f247,f124]) ).
fof(f2612,plain,
( ~ sQ1_spl
| ~ sQ19_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f2579,f92,f141,f79]) ).
fof(f2613,plain,
( ~ sQ4_spl
| ~ sQ34_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f769,f158,f194,f89]) ).
fof(f2621,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1123,f142]) ).
fof(f2623,plain,
( ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ1_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f2621,f435]) ).
fof(f2628,plain,
( ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ1_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f2623,f191,f79,f141,f161]) ).
fof(f2632,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f1081,f142]) ).
fof(f2633,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f2632,f95,f82,f141]) ).
fof(f2634,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ27_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f427,f2621]) ).
fof(f2635,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ27_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f2634,f197,f167,f79,f141]) ).
fof(f2639,plain,
( ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ26_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f431,f2621]) ).
fof(f2640,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ26_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f2639,f378]) ).
fof(f2645,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| ~ sQ1_spl
| ~ sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f2640,f161,f164,f79,f141,f92]) ).
fof(f2649,plain,
( ~ sQ10_spl
| ~ sQ49_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f248,f339]) ).
fof(f2654,plain,
( ~ sQ10_spl
| ~ sQ49_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2649,f233,f247,f108]) ).
fof(f2658,plain,
( ~ sQ31_spl
| ~ sQ36_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f202,f405]) ).
fof(f2666,plain,
( ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ36_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f2658,f773]) ).
fof(f2673,plain,
( ~ sQ10_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ36_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2666,f337]) ).
fof(f2675,plain,
( ~ sQ54_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ36_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f2666,f1002]) ).
fof(f2681,plain,
( ~ sQ10_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2673,f47]) ).
fof(f2682,plain,
( ~ sQ10_spl
| ~ sQ34_spl
| ~ sQ31_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2681]) ).
fof(f2683,plain,
( ~ sQ9_spl
| ~ sQ49_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1430,f230,f247,f105]) ).
fof(f2686,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| ~ sQ31_spl
| ~ sQ36_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2675,f770]) ).
fof(f2693,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| ~ sQ31_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2686,f54]) ).
fof(f2694,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| ~ sQ31_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2693]) ).
fof(f2699,plain,
( ~ sQ54_spl
| ~ sQ22_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2158,f999]) ).
fof(f2704,plain,
( ~ sQ54_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2699,f53]) ).
fof(f2705,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2704]) ).
fof(f2709,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f331,f2516]) ).
fof(f2710,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2709,f2528]) ).
fof(f2716,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f2710,f105,f111,f76,f118]) ).
fof(f2724,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ10_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f339,f2516]) ).
fof(f2725,plain,
( ~ sQ52_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ10_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f2724,f1011]) ).
fof(f2731,plain,
( ~ sQ52_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ10_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f2725,f158,f108,f76,f118,f257]) ).
fof(f2737,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ54_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1002,f2724]) ).
fof(f2738,plain,
( ~ sQ37_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ54_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f2737,f757]) ).
fof(f2743,plain,
( ~ sQ26_spl
| ~ sQ37_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ54_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f2738,f431]) ).
fof(f2748,plain,
( ~ sQ26_spl
| ~ sQ37_spl
| ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ10_spl
| ~ sQ54_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2743,f207,f263,f108,f76,f118,f204,f164]) ).
fof(f2749,plain,
( sQ49_spl
| ~ sQ13_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f2516]) ).
fof(f2750,plain,
( sQ49_spl
| ~ sQ13_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2749]) ).
fof(f2760,plain,
( ~ sQ45_spl
| ~ sQ37_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f205,f664]) ).
fof(f2764,plain,
( ~ sQ27_spl
| ~ sQ37_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f205,f427]) ).
fof(f2769,plain,
( ~ sQ45_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2760,f53]) ).
fof(f2770,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2769]) ).
fof(f2776,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f2601,f300]) ).
fof(f2794,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ0_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1163,f2776]) ).
fof(f2795,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ0_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f2794,f115,f76,f244,f124]) ).
fof(f2796,plain,
( ~ sQ27_spl
| ~ sQ53_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f2313,f236,f260,f167]) ).
fof(f2807,plain,
( ~ sQ22_spl
| ~ sQ6_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f2158]) ).
fof(f2808,plain,
( ~ sQ22_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2807,f55]) ).
fof(f2809,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2808]) ).
fof(f2810,plain,
( ~ sQ27_spl
| ~ sQ37_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f2764,f223,f204,f167]) ).
fof(f2821,plain,
( ~ sQ11_spl
| ~ sQ17_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f136,f331]) ).
fof(f2830,plain,
( ~ sQ17_spl
| ~ sQ11_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2821,f1702]) ).
fof(f2835,plain,
( ~ sQ17_spl
| ~ sQ11_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f2830,f105,f111,f135]) ).
fof(f2836,plain,
$false,
inference(sat_refutation,[status(thm)],[f88,f101,f114,f127,f144,f157,f170,f183,f200,f213,f226,f239,f256,f269,f282,f295,f311,f327,f341,f348,f355,f373,f380,f382,f393,f395,f418,f447,f455,f458,f463,f469,f484,f497,f510,f525,f540,f548,f554,f619,f638,f640,f642,f661,f685,f708,f718,f720,f728,f729,f735,f737,f759,f786,f798,f805,f806,f808,f812,f834,f845,f869,f896,f914,f981,f983,f992,f1003,f1027,f1029,f1031,f1034,f1052,f1053,f1054,f1056,f1063,f1070,f1093,f1094,f1097,f1111,f1112,f1114,f1115,f1134,f1165,f1166,f1186,f1199,f1201,f1211,f1213,f1238,f1250,f1261,f1272,f1284,f1285,f1287,f1289,f1320,f1329,f1339,f1352,f1364,f1375,f1387,f1411,f1416,f1418,f1419,f1426,f1437,f1488,f1500,f1545,f1559,f1569,f1572,f1573,f1585,f1595,f1609,f1611,f1622,f1623,f1634,f1635,f1642,f1652,f1654,f1693,f1704,f1712,f1713,f1738,f1740,f1748,f1798,f1800,f1801,f1803,f1805,f1833,f1897,f1925,f1935,f1967,f1977,f1988,f2001,f2002,f2017,f2026,f2037,f2039,f2052,f2054,f2055,f2056,f2057,f2108,f2126,f2128,f2136,f2150,f2151,f2152,f2164,f2166,f2167,f2171,f2180,f2182,f2210,f2212,f2215,f2223,f2234,f2252,f2266,f2307,f2308,f2319,f2342,f2349,f2373,f2381,f2387,f2399,f2400,f2414,f2427,f2446,f2448,f2461,f2480,f2503,f2512,f2529,f2556,f2567,f2568,f2596,f2597,f2603,f2609,f2611,f2612,f2613,f2628,f2633,f2635,f2645,f2654,f2682,f2683,f2694,f2705,f2716,f2731,f2748,f2750,f2770,f2795,f2796,f2809,f2810,f2835]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP129-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sun Sep 20 20:00:22 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 3.29/0.90 % Refutation found
% 3.29/0.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.29/0.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.29/0.91 % Elapsed time: 0.613231 seconds
% 3.29/0.91 % CPU time: 4.642278 seconds
% 3.29/0.91 % Total memory used: 37.179 MB
% 3.29/0.91 % Net memory used: 34.438 MB
%------------------------------------------------------------------------------