%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP123-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:42 PM UTC 2026
% Result : Satisfiable 0.17s 0.70s
% Output : Saturation 0.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( product(e_4,X,Y)
| product(e_3,X,Y)
| product(e_2,X,Y)
| product(e_1,X,Y)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( product(X,e_4,Y)
| product(X,e_3,Y)
| product(X,e_2,Y)
| product(X,e_1,Y)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,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/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(X1,X2)
| ~ product(Z2,Y2,X2)
| ~ product(Z2,Y1,X1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(Y1,Y2)
| ~ product(Z2,Y2,X2)
| ~ product(Z2,Y1,X1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0,X1] :
( product(e_4,X0,X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
! [X0,X1] :
( product(X0,e_4,X1)
| product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f28,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f29,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f31,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f32,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f33,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f34,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f36,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f37,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f38,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f39,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f40,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f41,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f42,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f43,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f44,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)],[f19]) ).
fof(f45,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f52,plain,
! [X1,X2] :
( equalish(X1,X2)
| ! [Y2,Z2] :
( ~ product(Z2,Y2,X2)
| ! [Y1] :
( ~ product(Z2,Y1,X1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X0,X3)
| ~ product(X5,X4,X3)
| ~ product(X5,X1,X0)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [Y1,Y2] :
( equalish(Y1,Y2)
| ! [X2,Z2] :
( ~ product(Z2,Y2,X2)
| ! [X1] :
( ~ product(Z2,Y1,X1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X1,X4)
| ~ product(X5,X4,X3)
| ~ product(X5,X1,X0)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f51,f46]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X1)
| ~ product(X3,X1,X0)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f51,f55]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X0)
| ~ product(X3,X1,X0)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f51,f53]) ).
fof(f60,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f48,f51]) ).
fof(f61,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f50,f51]) ).
fof(f62,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f57,f51]) ).
fof(f63,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f62]) ).
fof(f66,plain,
! [X0] :
( product(e_4,e_4,X0)
| product(e_3,e_4,X0)
| product(e_2,e_4,X0)
| product(e_1,e_4,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f26,f31]) ).
fof(f67,plain,
! [X0] :
( product(e_4,e_3,X0)
| product(e_3,e_3,X0)
| product(e_2,e_3,X0)
| product(e_1,e_3,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f26,f30]) ).
fof(f68,plain,
! [X0] :
( product(e_4,e_2,X0)
| product(e_3,e_2,X0)
| product(e_2,e_2,X0)
| product(e_1,e_2,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f26,f29]) ).
fof(f69,plain,
! [X0] :
( product(e_4,e_1,X0)
| product(e_3,e_1,X0)
| product(e_2,e_1,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f26,f28]) ).
fof(f70,plain,
! [X0] :
( product(e_4,e_4,X0)
| product(e_4,e_3,X0)
| product(e_4,e_2,X0)
| product(e_4,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f27,f31]) ).
fof(f71,plain,
! [X0] :
( product(e_3,e_4,X0)
| product(e_3,e_3,X0)
| product(e_3,e_2,X0)
| product(e_3,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f27,f30]) ).
fof(f72,plain,
! [X0] :
( product(e_2,e_4,X0)
| product(e_2,e_3,X0)
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f27,f29]) ).
fof(f73,plain,
! [X0] :
( product(e_1,e_4,X0)
| product(e_1,e_3,X0)
| product(e_1,e_2,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f27,f28]) ).
fof(f74,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)],[f44,f31]) ).
fof(f75,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)],[f44,f30]) ).
fof(f76,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)],[f44,f29]) ).
fof(f77,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)],[f44,f28]) ).
fof(f78,plain,
( product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f66,f31]) ).
fof(f79,plain,
( product(e_4,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f66,f30]) ).
fof(f80,plain,
( product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f66,f29]) ).
fof(f81,plain,
( product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f66,f28]) ).
fof(f82,definition,
( sQ0_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ0_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( sQ0_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,definition,
( sQ1_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ1_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( sQ1_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,definition,
( sQ2_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ2_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f90,plain,
( sQ2_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,definition,
( sQ3_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f78,f82,f85,f88,f91]) ).
fof(f95,definition,
( sQ4_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ4_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f97,plain,
( sQ4_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ5_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ5_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( sQ5_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,definition,
( sQ6_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ6_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f103,plain,
( sQ6_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,definition,
( sQ7_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( ~ sQ7_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f106,plain,
( sQ7_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f79,f95,f98,f101,f104]) ).
fof(f108,definition,
( sQ8_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ8_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f110,plain,
( sQ8_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ9_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ9_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f113,plain,
( sQ9_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ10_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ10_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f116,plain,
( sQ10_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ11_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ11_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f80,f108,f111,f114,f117]) ).
fof(f121,definition,
( sQ12_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ12_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ12_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ13_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ13_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ13_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ14_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ14_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ14_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ15_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ15_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f81,f121,f124,f127,f130]) ).
fof(f134,plain,
( product(e_4,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f67,f31]) ).
fof(f135,plain,
( product(e_4,e_3,e_3)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f67,f30]) ).
fof(f136,plain,
( product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f67,f29]) ).
fof(f137,plain,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f67,f28]) ).
fof(f138,definition,
( sQ16_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ16_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ17_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ17_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ18_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ18_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
( sQ19_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ19_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f134,f138,f141,f144,f147]) ).
fof(f151,definition,
( sQ20_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ20_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( sQ20_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,definition,
( sQ21_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ21_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f156,plain,
( sQ21_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
( sQ22_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f160,definition,
( sQ23_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ23_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( sQ23_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f135,f151,f154,f157,f160]) ).
fof(f164,definition,
( sQ24_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ24_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ24_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ25_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ25_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f169,plain,
( sQ25_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ26_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ26_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f172,plain,
( sQ26_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,definition,
( sQ27_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ27_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( sQ27_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f136,f164,f167,f170,f173]) ).
fof(f177,definition,
( sQ28_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ28_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ28_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ29_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ29_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ29_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ30_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ30_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f185,plain,
( sQ30_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,definition,
( sQ31_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ31_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ31_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f137,f177,f180,f183,f186]) ).
fof(f190,plain,
( product(e_4,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f68,f31]) ).
fof(f191,plain,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f68,f30]) ).
fof(f192,plain,
( product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f68,f29]) ).
fof(f193,plain,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f68,f28]) ).
fof(f194,definition,
( sQ32_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ32_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ33_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ33_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ34_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ34_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,definition,
( sQ35_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ35_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f190,f194,f197,f200,f203]) ).
fof(f207,definition,
( sQ36_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ36_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ36_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ37_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ37_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ37_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ38_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ38_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ38_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
( sQ39_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ39_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ39_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f191,f207,f210,f213,f216]) ).
fof(f220,definition,
( sQ40_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ40_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f222,plain,
( sQ40_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,definition,
( sQ41_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f226,definition,
( sQ42_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ42_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( sQ42_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ43_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f192,f220,f223,f226,f229]) ).
fof(f233,definition,
( sQ44_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ44_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ44_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ45_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ45_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ45_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ46_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ46_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ46_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ47_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ47_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f193,f233,f236,f239,f242]) ).
fof(f246,plain,
( product(e_4,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f69,f31]) ).
fof(f247,plain,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f69,f30]) ).
fof(f248,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f69,f29]) ).
fof(f249,plain,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f69,f28]) ).
fof(f250,definition,
( sQ48_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ48_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
( sQ49_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ49_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
( sQ50_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ50_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
( sQ51_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ51_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f246,f250,f253,f256,f259]) ).
fof(f263,definition,
( sQ52_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ52_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ52_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ53_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ53_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ53_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ54_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ54_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f271,plain,
( sQ54_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ55_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ55_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f247,f263,f266,f269,f272]) ).
fof(f276,definition,
( sQ56_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ56_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ56_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ57_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ57_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ57_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ58_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ58_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ58_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ59_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ59_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ59_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f248,f276,f279,f282,f285]) ).
fof(f289,definition,
( sQ60_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f292,definition,
( sQ61_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ61_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ61_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ62_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ62_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ62_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ63_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ63_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ63_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f249,f289,f292,f295,f298]) ).
fof(f302,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f70,f31]) ).
fof(f303,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f70,f30]) ).
fof(f304,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f70,f29]) ).
fof(f305,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f70,f28]) ).
fof(f306,plain,
( sQ3_spl
| sQ19_spl
| sQ35_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f302,f259,f203,f147,f91]) ).
fof(f307,plain,
( sQ7_spl
| sQ23_spl
| sQ39_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f303,f272,f216,f160,f104]) ).
fof(f308,plain,
( sQ11_spl
| sQ27_spl
| sQ43_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f304,f285,f229,f173,f117]) ).
fof(f309,plain,
( sQ15_spl
| sQ31_spl
| sQ47_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f305,f298,f242,f186,f130]) ).
fof(f310,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f71,f31]) ).
fof(f311,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f71,f30]) ).
fof(f312,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f71,f29]) ).
fof(f313,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f71,f28]) ).
fof(f314,plain,
( sQ2_spl
| sQ18_spl
| sQ34_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f310,f256,f200,f144,f88]) ).
fof(f315,plain,
( sQ6_spl
| sQ22_spl
| sQ38_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f311,f269,f213,f157,f101]) ).
fof(f316,plain,
( sQ10_spl
| sQ26_spl
| sQ42_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f312,f282,f226,f170,f114]) ).
fof(f317,plain,
( sQ14_spl
| sQ30_spl
| sQ46_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f313,f295,f239,f183,f127]) ).
fof(f318,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f72,f31]) ).
fof(f319,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f72,f30]) ).
fof(f320,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f72,f29]) ).
fof(f321,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f72,f28]) ).
fof(f322,plain,
( sQ1_spl
| sQ17_spl
| sQ33_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f318,f253,f197,f141,f85]) ).
fof(f323,plain,
( sQ5_spl
| sQ21_spl
| sQ37_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f319,f266,f210,f154,f98]) ).
fof(f324,plain,
( sQ9_spl
| sQ25_spl
| sQ41_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f320,f279,f223,f167,f111]) ).
fof(f325,plain,
( sQ13_spl
| sQ29_spl
| sQ45_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f321,f292,f236,f180,f124]) ).
fof(f326,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f73,f31]) ).
fof(f327,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f73,f30]) ).
fof(f328,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f73,f29]) ).
fof(f329,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f73,f28]) ).
fof(f330,plain,
( sQ0_spl
| sQ16_spl
| sQ32_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f326,f250,f194,f138,f82]) ).
fof(f331,plain,
( sQ4_spl
| sQ20_spl
| sQ36_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f327,f263,f207,f151,f95]) ).
fof(f332,plain,
( sQ8_spl
| sQ24_spl
| sQ40_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f328,f276,f220,f164,f108]) ).
fof(f333,plain,
( sQ12_spl
| sQ28_spl
| sQ44_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f329,f289,f233,f177,f121]) ).
fof(f334,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)],[f74,f31]) ).
fof(f335,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)],[f74,f30]) ).
fof(f336,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)],[f74,f29]) ).
fof(f337,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)],[f74,f28]) ).
fof(f338,plain,
( sQ3_spl
| sQ7_spl
| sQ11_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f334,f130,f117,f104,f91]) ).
fof(f339,plain,
( sQ19_spl
| sQ23_spl
| sQ27_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f335,f186,f173,f160,f147]) ).
fof(f340,plain,
( sQ35_spl
| sQ39_spl
| sQ43_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f336,f242,f229,f216,f203]) ).
fof(f341,plain,
( sQ51_spl
| sQ55_spl
| sQ59_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f337,f298,f285,f272,f259]) ).
fof(f342,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)],[f75,f31]) ).
fof(f343,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)],[f75,f30]) ).
fof(f344,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)],[f75,f29]) ).
fof(f345,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)],[f75,f28]) ).
fof(f346,plain,
( sQ2_spl
| sQ6_spl
| sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f342,f127,f114,f101,f88]) ).
fof(f347,plain,
( sQ18_spl
| sQ22_spl
| sQ26_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f343,f183,f170,f157,f144]) ).
fof(f348,plain,
( sQ34_spl
| sQ38_spl
| sQ42_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f344,f239,f226,f213,f200]) ).
fof(f349,plain,
( sQ50_spl
| sQ54_spl
| sQ58_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f345,f295,f282,f269,f256]) ).
fof(f350,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)],[f76,f31]) ).
fof(f351,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)],[f76,f30]) ).
fof(f352,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)],[f76,f29]) ).
fof(f353,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)],[f76,f28]) ).
fof(f354,plain,
( sQ1_spl
| sQ5_spl
| sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f350,f124,f111,f98,f85]) ).
fof(f355,plain,
( sQ17_spl
| sQ21_spl
| sQ25_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f351,f180,f167,f154,f141]) ).
fof(f356,plain,
( sQ33_spl
| sQ37_spl
| sQ41_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f352,f236,f223,f210,f197]) ).
fof(f357,plain,
( sQ49_spl
| sQ53_spl
| sQ57_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f353,f292,f279,f266,f253]) ).
fof(f358,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)],[f77,f31]) ).
fof(f359,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)],[f77,f30]) ).
fof(f360,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)],[f77,f29]) ).
fof(f361,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)],[f77,f28]) ).
fof(f362,plain,
( sQ0_spl
| sQ4_spl
| sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f358,f121,f108,f95,f82]) ).
fof(f363,plain,
( sQ16_spl
| sQ20_spl
| sQ24_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f359,f177,f164,f151,f138]) ).
fof(f364,plain,
( sQ32_spl
| sQ36_spl
| sQ40_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f360,f233,f220,f207,f194]) ).
fof(f365,plain,
( sQ48_spl
| sQ52_spl
| sQ56_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f361,f289,f276,f263,f250]) ).
fof(f366,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f63,f51]) ).
fof(f369,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f187,f58]) ).
fof(f370,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f187,f57]) ).
fof(f371,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f187,f50]) ).
fof(f372,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f187,f48]) ).
fof(f373,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f187,f46]) ).
fof(f374,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f187,f55]) ).
fof(f375,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f187,f53]) ).
fof(f376,definition,
! [X0] :
( sQ64_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f377,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ65_spl
<=> equalish(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ65_spl
| equalish(e_1,e_4) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( ~ sQ31_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f369,f376,f379,f186]) ).
fof(f383,definition,
( sQ66_spl
<=> equalish(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ66_spl
| equalish(e_1,e_3) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( ~ sQ31_spl
| sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f370,f376,f383,f186]) ).
fof(f387,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f174,f58]) ).
fof(f388,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f174,f57]) ).
fof(f389,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f174,f50]) ).
fof(f390,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f174,f48]) ).
fof(f391,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f174,f46]) ).
fof(f392,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f174,f55]) ).
fof(f393,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f174,f53]) ).
fof(f394,definition,
! [X0] :
( sQ67_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f395,plain,
! [X0] :
( ~ sQ67_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
( sQ68_spl
<=> equalish(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( ~ sQ68_spl
| equalish(e_2,e_4) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( ~ sQ27_spl
| sQ68_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f387,f394,f397,f173]) ).
fof(f401,definition,
( sQ69_spl
<=> equalish(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ69_spl
| equalish(e_2,e_3) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( ~ sQ27_spl
| sQ69_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f388,f394,f401,f173]) ).
fof(f405,plain,
( ~ sQ23_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f161,f61]) ).
fof(f406,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f161,f58]) ).
fof(f407,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f161,f57]) ).
fof(f408,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f161,f50]) ).
fof(f409,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f161,f48]) ).
fof(f410,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f161,f46]) ).
fof(f411,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f161,f55]) ).
fof(f412,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f161,f53]) ).
fof(f413,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f40]) ).
fof(f414,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f413]) ).
fof(f415,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f58]) ).
fof(f416,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f57]) ).
fof(f417,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f243,f50]) ).
fof(f418,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f243,f48]) ).
fof(f419,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f243,f46]) ).
fof(f420,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f243,f55]) ).
fof(f421,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f243,f53]) ).
fof(f422,definition,
! [X0] :
( sQ70_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f423,plain,
! [X0] :
( ~ sQ70_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( ~ sQ47_spl
| sQ65_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f415,f422,f379,f242]) ).
fof(f426,definition,
( sQ71_spl
<=> equalish(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ71_spl
| equalish(e_1,e_2) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( ~ sQ47_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f416,f422,f426,f242]) ).
fof(f430,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f380,f34]) ).
fof(f431,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f230,f61]) ).
fof(f433,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f58]) ).
fof(f434,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f57]) ).
fof(f435,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f50]) ).
fof(f436,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f230,f48]) ).
fof(f437,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f230,f46]) ).
fof(f438,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f230,f55]) ).
fof(f439,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f230,f53]) ).
fof(f440,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f432,f37]) ).
fof(f441,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f440]) ).
fof(f442,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f58]) ).
fof(f443,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f57]) ).
fof(f444,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f217,f50]) ).
fof(f445,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f217,f48]) ).
fof(f446,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f217,f46]) ).
fof(f447,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f217,f55]) ).
fof(f448,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f217,f53]) ).
fof(f449,definition,
! [X0] :
( sQ72_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f450,plain,
! [X0] :
( ~ sQ72_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ73_spl
<=> equalish(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ73_spl
| equalish(e_3,e_4) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( ~ sQ39_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f442,f449,f452,f216]) ).
fof(f456,definition,
( sQ74_spl
<=> equalish(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ74_spl
| equalish(e_3,e_2) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( ~ sQ39_spl
| sQ74_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f443,f449,f456,f216]) ).
fof(f460,plain,
( ~ sQ72_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f450,f51]) ).
fof(f461,plain,
( ~ sQ63_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f299,f61]) ).
fof(f462,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f299,f58]) ).
fof(f463,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f299,f57]) ).
fof(f464,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f299,f50]) ).
fof(f465,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f299,f48]) ).
fof(f466,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f299,f46]) ).
fof(f467,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f299,f55]) ).
fof(f468,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f299,f53]) ).
fof(f469,plain,
( ~ sQ63_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f461,f379,f298]) ).
fof(f470,definition,
! [X0] :
( sQ75_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f471,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( ~ sQ63_spl
| sQ65_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f462,f470,f379,f298]) ).
fof(f474,definition,
( sQ76_spl
<=> equalish(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ63_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f463,f470,f474,f298]) ).
fof(f478,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f286,f58]) ).
fof(f479,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f286,f57]) ).
fof(f480,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f286,f50]) ).
fof(f481,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f286,f48]) ).
fof(f482,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f286,f46]) ).
fof(f483,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f286,f55]) ).
fof(f484,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f286,f53]) ).
fof(f485,definition,
! [X0] :
( sQ77_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f486,plain,
! [X0] :
( ~ sQ77_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( ~ sQ59_spl
| sQ68_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f478,f485,f397,f285]) ).
fof(f489,definition,
( sQ78_spl
<=> equalish(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ78_spl
| equalish(e_2,e_1) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( ~ sQ59_spl
| sQ78_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f479,f485,f489,f285]) ).
fof(f493,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f398,f37]) ).
fof(f494,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( ~ sQ77_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f486,f51]) ).
fof(f496,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f273,f58]) ).
fof(f497,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f273,f57]) ).
fof(f498,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f273,f50]) ).
fof(f499,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f273,f48]) ).
fof(f500,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f273,f46]) ).
fof(f501,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f273,f55]) ).
fof(f502,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f273,f53]) ).
fof(f503,definition,
! [X0] :
( sQ79_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f504,plain,
! [X0] :
( ~ sQ79_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( ~ sQ55_spl
| sQ73_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f496,f503,f452,f272]) ).
fof(f507,definition,
( sQ80_spl
<=> equalish(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ80_spl
| equalish(e_3,e_1) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( ~ sQ55_spl
| sQ80_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f497,f503,f507,f272]) ).
fof(f511,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f40]) ).
fof(f512,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f511]) ).
fof(f513,plain,
( ~ sQ79_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f504,f51]) ).
fof(f514,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f128,f58]) ).
fof(f515,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f128,f57]) ).
fof(f516,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f128,f50]) ).
fof(f517,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f128,f48]) ).
fof(f518,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f128,f46]) ).
fof(f519,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f128,f55]) ).
fof(f520,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f128,f53]) ).
fof(f521,definition,
! [X0] :
( sQ81_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f522,plain,
! [X0] :
( ~ sQ81_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ sQ14_spl
| sQ66_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f514,f521,f383,f127]) ).
fof(f525,plain,
( ~ sQ14_spl
| sQ65_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f515,f521,f379,f127]) ).
fof(f528,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f184,f50]) ).
fof(f529,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f184,f48]) ).
fof(f530,plain,
( ~ sQ30_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f184,f56]) ).
fof(f531,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f184,f46]) ).
fof(f532,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f184,f55]) ).
fof(f533,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f184,f53]) ).
fof(f534,definition,
! [X0] :
( sQ82_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f38]) ).
fof(f540,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f33]) ).
fof(f542,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f240,f58]) ).
fof(f544,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f240,f57]) ).
fof(f545,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f240,f50]) ).
fof(f546,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f240,f48]) ).
fof(f547,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f240,f46]) ).
fof(f548,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f240,f55]) ).
fof(f549,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f240,f53]) ).
fof(f550,definition,
! [X0] :
( sQ83_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f551,plain,
! [X0] :
( ~ sQ83_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ sQ46_spl
| sQ66_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f543,f550,f383,f239]) ).
fof(f554,plain,
( ~ sQ46_spl
| sQ71_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f544,f550,f426,f239]) ).
fof(f555,plain,
( ~ sQ62_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f296,f61]) ).
fof(f556,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f296,f58]) ).
fof(f557,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f296,f57]) ).
fof(f558,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f296,f50]) ).
fof(f559,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f296,f48]) ).
fof(f560,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f296,f46]) ).
fof(f561,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f296,f55]) ).
fof(f562,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f296,f53]) ).
fof(f563,plain,
( ~ sQ62_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f555,f383,f295]) ).
fof(f564,definition,
! [X0] :
( sQ84_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ62_spl
| sQ66_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f556,f564,f383,f295]) ).
fof(f568,plain,
( ~ sQ62_spl
| sQ76_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f557,f564,f474,f295]) ).
fof(f569,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f548,f51]) ).
fof(f570,plain,
( ~ sQ46_spl
| sQ78_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f569,f550,f489,f239]) ).
fof(f571,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f519,f51]) ).
fof(f572,definition,
( sQ85_spl
<=> equalish(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ85_spl
| equalish(e_4,e_1) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( ~ sQ14_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f571,f521,f572,f127]) ).
fof(f576,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f549,f51]) ).
fof(f577,plain,
( ~ sQ46_spl
| sQ80_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f576,f550,f507,f239]) ).
fof(f580,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f115,f58]) ).
fof(f581,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f115,f57]) ).
fof(f582,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f115,f50]) ).
fof(f583,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f115,f48]) ).
fof(f584,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f115,f46]) ).
fof(f585,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f115,f55]) ).
fof(f586,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f115,f53]) ).
fof(f587,definition,
! [X0] :
( sQ86_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f588,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( ~ sQ10_spl
| sQ69_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f580,f587,f401,f114]) ).
fof(f591,plain,
( ~ sQ10_spl
| sQ68_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f581,f587,f397,f114]) ).
fof(f594,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f171,f50]) ).
fof(f595,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f171,f48]) ).
fof(f596,plain,
( ~ sQ26_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f171,f56]) ).
fof(f597,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f171,f46]) ).
fof(f598,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f171,f55]) ).
fof(f599,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f171,f53]) ).
fof(f600,definition,
! [X0] :
( sQ87_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f596,f39]) ).
fof(f606,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f402,f36]) ).
fof(f608,plain,
~ sQ69_spl,
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f609,plain,
( ~ sQ46_spl
| ~ sQ42_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f227,f547]) ).
fof(f610,plain,
( ~ sQ77_spl
| ~ sQ42_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f227,f486]) ).
fof(f611,plain,
( ~ sQ42_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f227,f61]) ).
fof(f612,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f227,f58]) ).
fof(f613,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f227,f57]) ).
fof(f614,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f227,f50]) ).
fof(f615,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f227,f48]) ).
fof(f616,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f227,f46]) ).
fof(f617,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f227,f55]) ).
fof(f618,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f227,f53]) ).
fof(f619,plain,
( ~ sQ46_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f32]) ).
fof(f620,plain,
( ~ sQ46_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f619]) ).
fof(f621,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f283,f58]) ).
fof(f622,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f283,f57]) ).
fof(f623,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f283,f50]) ).
fof(f624,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f283,f48]) ).
fof(f625,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f283,f46]) ).
fof(f626,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f283,f55]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f283,f53]) ).
fof(f628,definition,
! [X0] :
( sQ88_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f629,plain,
! [X0] :
( ~ sQ88_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( ~ sQ58_spl
| sQ69_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f621,f628,f401,f282]) ).
fof(f632,plain,
( ~ sQ58_spl
| sQ78_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f622,f628,f489,f282]) ).
fof(f633,plain,
( ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f35]) ).
fof(f634,plain,
~ sQ78_spl,
inference(contradiction_clause,[status(thm)],[f633]) ).
fof(f635,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f626,f283]) ).
fof(f636,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f626,f51]) ).
fof(f637,definition,
! [X0] :
( sQ89_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f638,plain,
! [X0] :
( ~ sQ89_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,plain,
( ~ sQ58_spl
| sQ76_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f635,f637,f474,f282]) ).
fof(f641,plain,
( ~ sQ58_spl
| sQ71_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f636,f628,f426,f282]) ).
fof(f642,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f32]) ).
fof(f643,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f642]) ).
fof(f644,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f627,f283]) ).
fof(f645,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f627,f51]) ).
fof(f646,definition,
( sQ90_spl
<=> equalish(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ58_spl
| sQ90_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f644,f637,f646,f282]) ).
fof(f650,plain,
( ~ sQ58_spl
| sQ74_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f645,f628,f456,f282]) ).
fof(f651,plain,
! [X0] :
( ~ sQ89_spl
| ~ product(X0,e_1,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f638]) ).
fof(f652,plain,
( ~ sQ88_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f629,f51]) ).
fof(f656,plain,
( ~ sQ86_spl
| ~ sQ6_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f102,f588]) ).
fof(f657,plain,
( ~ sQ81_spl
| ~ sQ6_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f102,f522]) ).
fof(f658,plain,
( ~ sQ6_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f102,f60]) ).
fof(f659,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f102,f58]) ).
fof(f660,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f102,f57]) ).
fof(f661,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f102,f50]) ).
fof(f662,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f102,f48]) ).
fof(f663,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f102,f46]) ).
fof(f664,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f102,f55]) ).
fof(f665,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f102,f53]) ).
fof(f666,plain,
( ~ sQ6_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f658,f452,f101]) ).
fof(f667,definition,
! [X0] :
( sQ91_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ6_spl
| sQ90_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f659,f667,f646,f101]) ).
fof(f671,plain,
( ~ sQ6_spl
| sQ73_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f660,f667,f452,f101]) ).
fof(f673,plain,
( ~ sQ83_spl
| ~ sQ38_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f214,f551]) ).
fof(f674,plain,
( ~ sQ38_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f214,f60]) ).
fof(f675,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f214,f58]) ).
fof(f676,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f214,f57]) ).
fof(f677,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f214,f50]) ).
fof(f678,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f214,f48]) ).
fof(f679,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f214,f46]) ).
fof(f680,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f214,f55]) ).
fof(f681,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f214,f53]) ).
fof(f683,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f674,f39]) ).
fof(f684,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f683]) ).
fof(f685,plain,
( ~ sQ54_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f651]) ).
fof(f686,plain,
( ~ sQ54_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f685]) ).
fof(f696,plain,
( ~ sQ2_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f89,f61]) ).
fof(f697,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f89,f58]) ).
fof(f698,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f89,f57]) ).
fof(f699,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f89,f50]) ).
fof(f700,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f89,f48]) ).
fof(f701,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f89,f46]) ).
fof(f702,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f89,f55]) ).
fof(f703,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f89,f53]) ).
fof(f704,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f696,f43]) ).
fof(f705,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f706,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ13_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f125,f548]) ).
fof(f707,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ13_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f125,f549]) ).
fof(f708,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f125,f58]) ).
fof(f709,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f125,f57]) ).
fof(f710,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f125,f50]) ).
fof(f711,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f125,f48]) ).
fof(f712,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f125,f46]) ).
fof(f713,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f125,f55]) ).
fof(f714,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f125,f53]) ).
fof(f715,definition,
! [X0] :
( sQ92_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f716,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( ~ sQ46_spl
| ~ sQ13_spl
| sQ68_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f706,f715,f397,f124,f239]) ).
fof(f719,plain,
( ~ sQ46_spl
| ~ sQ13_spl
| sQ74_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f707,f715,f456,f124,f239]) ).
fof(f720,definition,
! [X0] :
( sQ93_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f721,plain,
! [X0] :
( ~ sQ93_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( ~ sQ13_spl
| sQ71_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f708,f720,f426,f124]) ).
fof(f724,plain,
( ~ sQ13_spl
| sQ65_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f709,f720,f379,f124]) ).
fof(f725,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f457,f39]) ).
fof(f726,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f725]) ).
fof(f727,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ29_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f181,f548]) ).
fof(f728,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ29_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f181,f549]) ).
fof(f729,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f181,f58]) ).
fof(f730,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f181,f57]) ).
fof(f731,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f181,f50]) ).
fof(f732,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f181,f48]) ).
fof(f733,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f181,f46]) ).
fof(f734,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f181,f55]) ).
fof(f735,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f181,f53]) ).
fof(f736,definition,
! [X0] :
( sQ94_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f737,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( ~ sQ46_spl
| ~ sQ29_spl
| sQ69_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f727,f736,f401,f180,f239]) ).
fof(f740,plain,
( ~ sQ46_spl
| ~ sQ29_spl
| sQ74_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f728,f736,f456,f180,f239]) ).
fof(f741,definition,
! [X0] :
( sQ95_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f742,plain,
! [X0] :
( ~ sQ95_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,plain,
( ~ sQ29_spl
| sQ71_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f729,f741,f426,f180]) ).
fof(f745,plain,
( ~ sQ29_spl
| sQ66_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f730,f741,f383,f180]) ).
fof(f746,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f237,f545]) ).
fof(f747,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ45_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f237,f548]) ).
fof(f748,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ45_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f237,f549]) ).
fof(f749,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f58]) ).
fof(f751,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f237,f50]) ).
fof(f752,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f237,f48]) ).
fof(f753,plain,
( ~ sQ45_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f237,f56]) ).
fof(f754,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f237,f46]) ).
fof(f755,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f237,f55]) ).
fof(f756,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f237,f53]) ).
fof(f757,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f746,f456,f236,f239]) ).
fof(f758,definition,
! [X0] :
( sQ96_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f759,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,definition,
( sQ97_spl
<=> equalish(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f747,f758,f761,f236,f239]) ).
fof(f765,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| sQ74_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f748,f758,f456,f236,f239]) ).
fof(f766,definition,
! [X0] :
( sQ98_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ45_spl
| sQ71_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f749,f766,f426,f236]) ).
fof(f771,plain,
( ~ sQ45_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f753,f489,f236]) ).
fof(f772,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f293,f548]) ).
fof(f773,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f293,f549]) ).
fof(f774,plain,
( ~ sQ61_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f293,f61]) ).
fof(f775,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f293,f58]) ).
fof(f776,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f293,f57]) ).
fof(f777,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f293,f50]) ).
fof(f778,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f293,f48]) ).
fof(f779,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f293,f46]) ).
fof(f780,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f293,f55]) ).
fof(f781,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f293,f53]) ).
fof(f782,definition,
! [X0] :
( sQ99_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f783,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,plain,
( ~ sQ46_spl
| ~ sQ61_spl
| sQ78_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f772,f782,f489,f292,f239]) ).
fof(f786,plain,
( ~ sQ46_spl
| ~ sQ61_spl
| sQ74_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f773,f782,f456,f292,f239]) ).
fof(f787,plain,
( ~ sQ61_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f774,f426,f292]) ).
fof(f788,definition,
! [X0] :
( sQ100_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ61_spl
| sQ71_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f775,f788,f426,f292]) ).
fof(f792,plain,
( ~ sQ61_spl
| sQ76_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f776,f788,f474,f292]) ).
fof(f793,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ9_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f112,f626]) ).
fof(f794,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ9_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f112,f627]) ).
fof(f795,plain,
( ~ sQ9_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f112,f60]) ).
fof(f796,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f112,f58]) ).
fof(f797,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f112,f57]) ).
fof(f798,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f112,f50]) ).
fof(f799,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f112,f48]) ).
fof(f800,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f112,f46]) ).
fof(f801,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f112,f55]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f112,f53]) ).
fof(f803,definition,
! [X0] :
( sQ101_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( ~ sQ58_spl
| ~ sQ9_spl
| sQ65_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f793,f803,f379,f111,f282]) ).
fof(f807,plain,
( ~ sQ58_spl
| ~ sQ9_spl
| sQ74_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f794,f803,f456,f111,f282]) ).
fof(f808,plain,
( ~ sQ9_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f795,f397,f111]) ).
fof(f809,definition,
! [X0] :
( sQ102_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ9_spl
| sQ97_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f796,f809,f761,f111]) ).
fof(f813,plain,
( ~ sQ9_spl
| sQ68_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f797,f809,f397,f111]) ).
fof(f814,plain,
( ~ sQ42_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f611,f401,f226]) ).
fof(f815,plain,
( ~ sQ42_spl
| sQ69_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f612,f758,f401,f226]) ).
fof(f816,plain,
( ~ sQ42_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f613,f758,f761,f226]) ).
fof(f817,plain,
( ~ sQ25_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f168,f60]) ).
fof(f818,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f168,f58]) ).
fof(f819,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f168,f57]) ).
fof(f820,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f168,f50]) ).
fof(f821,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f168,f48]) ).
fof(f822,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f168,f46]) ).
fof(f823,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f168,f55]) ).
fof(f824,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f168,f53]) ).
fof(f825,plain,
( ~ sQ25_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f817,f401,f167]) ).
fof(f826,definition,
! [X0] :
( sQ103_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f829,plain,
( ~ sQ25_spl
| sQ97_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f818,f826,f761,f167]) ).
fof(f830,plain,
( ~ sQ25_spl
| sQ69_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f819,f826,f401,f167]) ).
fof(f831,plain,
( ~ sQ57_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f280,f60]) ).
fof(f832,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f280,f58]) ).
fof(f833,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f280,f57]) ).
fof(f834,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f280,f50]) ).
fof(f835,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f280,f48]) ).
fof(f836,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f280,f46]) ).
fof(f837,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f280,f55]) ).
fof(f838,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f280,f53]) ).
fof(f839,plain,
( ~ sQ57_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f831,f489,f279]) ).
fof(f840,definition,
! [X0] :
( sQ104_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ57_spl
| sQ97_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f832,f840,f761,f279]) ).
fof(f844,plain,
( ~ sQ57_spl
| sQ78_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f833,f840,f489,f279]) ).
fof(f845,plain,
( ~ sQ86_spl
| ~ sQ5_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f99,f588]) ).
fof(f846,plain,
( ~ sQ81_spl
| ~ sQ5_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f99,f522]) ).
fof(f847,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f99,f58]) ).
fof(f848,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f99,f57]) ).
fof(f849,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f99,f50]) ).
fof(f850,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f99,f48]) ).
fof(f851,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f99,f46]) ).
fof(f852,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f99,f55]) ).
fof(f853,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f99,f53]) ).
fof(f854,plain,
( ~ sQ86_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f845,f51]) ).
fof(f855,plain,
( ~ sQ86_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f854]) ).
fof(f856,plain,
( ~ sQ79_spl
| ~ sQ21_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f155,f504]) ).
fof(f857,plain,
( ~ sQ72_spl
| ~ sQ21_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f155,f450]) ).
fof(f858,plain,
( ~ sQ21_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f155,f61]) ).
fof(f859,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f155,f58]) ).
fof(f860,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f155,f57]) ).
fof(f861,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f155,f50]) ).
fof(f862,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f155,f48]) ).
fof(f863,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f155,f46]) ).
fof(f864,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f155,f55]) ).
fof(f865,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f155,f53]) ).
fof(f866,plain,
( ~ sQ21_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f858,f456,f154]) ).
fof(f867,definition,
! [X0] :
( sQ105_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ21_spl
| sQ74_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f859,f867,f456,f154]) ).
fof(f871,plain,
( ~ sQ21_spl
| sQ90_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f860,f867,f646,f154]) ).
fof(f872,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f734,f51]) ).
fof(f873,plain,
( ~ sQ29_spl
| sQ80_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f872,f741,f507,f180]) ).
fof(f874,plain,
( ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f508,f38]) ).
fof(f875,plain,
~ sQ80_spl,
inference(contradiction_clause,[status(thm)],[f874]) ).
fof(f876,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f735,f51]) ).
fof(f877,plain,
( ~ sQ29_spl
| sQ78_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f876,f741,f489,f180]) ).
fof(f878,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f520,f51]) ).
fof(f879,plain,
( ~ sQ14_spl
| sQ80_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f878,f521,f507,f127]) ).
fof(f886,plain,
( ~ sQ96_spl
| ~ sQ37_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f211,f759]) ).
fof(f887,plain,
( ~ sQ83_spl
| ~ sQ37_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f211,f551]) ).
fof(f888,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f211,f58]) ).
fof(f890,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f211,f50]) ).
fof(f891,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f211,f48]) ).
fof(f892,plain,
( ~ sQ37_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f211,f56]) ).
fof(f893,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f211,f46]) ).
fof(f894,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f211,f55]) ).
fof(f895,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f211,f53]) ).
fof(f896,plain,
( ~ sQ96_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f886,f51]) ).
fof(f897,plain,
( ~ sQ96_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f896]) ).
fof(f898,plain,
( ~ sQ53_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f267,f652]) ).
fof(f899,plain,
( ~ sQ53_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f898]) ).
fof(f900,plain,
( ~ sQ37_spl
| sQ74_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f888,f600,f456,f210]) ).
fof(f902,plain,
( ~ sQ37_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f892,f401,f210]) ).
fof(f903,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f585,f51]) ).
fof(f904,definition,
( sQ106_spl
<=> equalish(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( ~ sQ106_spl
| equalish(e_4,e_2) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( ~ sQ10_spl
| sQ106_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f903,f587,f904,f114]) ).
fof(f908,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f586,f51]) ).
fof(f909,plain,
( ~ sQ10_spl
| sQ74_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f908,f587,f456,f114]) ).
fof(f910,plain,
( ~ sQ1_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f86,f61]) ).
fof(f911,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f86,f58]) ).
fof(f912,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f86,f57]) ).
fof(f913,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f86,f50]) ).
fof(f914,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f86,f48]) ).
fof(f915,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f86,f46]) ).
fof(f916,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f86,f55]) ).
fof(f917,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f86,f53]) ).
fof(f918,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f910,f42]) ).
fof(f919,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f920,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f713,f51]) ).
fof(f921,plain,
( ~ sQ13_spl
| sQ85_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f920,f720,f572,f124]) ).
fof(f922,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f714,f51]) ).
fof(f923,plain,
( ~ sQ13_spl
| sQ78_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f922,f720,f489,f124]) ).
fof(f924,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f122,f710]) ).
fof(f925,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f122,f516]) ).
fof(f926,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ12_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f122,f714]) ).
fof(f927,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ12_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f122,f713]) ).
fof(f928,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ12_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f122,f519]) ).
fof(f929,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ12_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f122,f520]) ).
fof(f930,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ12_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f122,f735]) ).
fof(f931,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ12_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f122,f734]) ).
fof(f932,plain,
( ~ sQ12_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f122,f60]) ).
fof(f933,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f122,f58]) ).
fof(f934,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f122,f57]) ).
fof(f935,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f122,f50]) ).
fof(f936,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f122,f48]) ).
fof(f937,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f122,f46]) ).
fof(f938,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f122,f55]) ).
fof(f939,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f122,f53]) ).
fof(f940,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f924,f489,f121,f124]) ).
fof(f941,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f925,f507,f121,f127]) ).
fof(f942,definition,
! [X0] :
( sQ107_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f945,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| sQ78_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f926,f942,f489,f121,f124]) ).
fof(f946,definition,
( sQ108_spl
<=> equalish(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f927,f942,f946,f121,f124]) ).
fof(f950,definition,
! [X0] :
( sQ109_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ108_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f928,f950,f946,f121,f127]) ).
fof(f954,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| sQ80_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f929,f950,f507,f121,f127]) ).
fof(f955,definition,
! [X0] :
( sQ110_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( ~ sQ29_spl
| ~ sQ12_spl
| sQ78_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f930,f955,f489,f121,f180]) ).
fof(f959,plain,
( ~ sQ29_spl
| ~ sQ12_spl
| sQ73_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f931,f955,f452,f121,f180]) ).
fof(f960,plain,
( ~ sQ12_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f932,f379,f121]) ).
fof(f961,definition,
! [X0] :
( sQ111_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( ~ sQ12_spl
| sQ76_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f933,f961,f474,f121]) ).
fof(f965,plain,
( ~ sQ12_spl
| sQ65_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f934,f961,f379,f121]) ).
fof(f966,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f178,f731]) ).
fof(f967,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ28_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f178,f714]) ).
fof(f968,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ28_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f178,f713]) ).
fof(f969,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ28_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f178,f519]) ).
fof(f970,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ28_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f178,f520]) ).
fof(f971,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ28_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f178,f735]) ).
fof(f972,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ28_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f178,f734]) ).
fof(f973,plain,
( ~ sQ28_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f178,f60]) ).
fof(f974,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f178,f58]) ).
fof(f975,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f178,f57]) ).
fof(f976,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f178,f50]) ).
fof(f977,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f178,f48]) ).
fof(f978,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f178,f46]) ).
fof(f979,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f178,f55]) ).
fof(f980,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f178,f53]) ).
fof(f981,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f966,f489,f177,f180]) ).
fof(f982,definition,
! [X0] :
( sQ112_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( ~ sQ13_spl
| ~ sQ28_spl
| sQ78_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f967,f982,f489,f177,f124]) ).
fof(f986,definition,
( sQ113_spl
<=> equalish(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ113_spl
| equalish(e_4,e_3) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,plain,
( ~ sQ13_spl
| ~ sQ28_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f968,f982,f986,f177,f124]) ).
fof(f990,definition,
! [X0] :
( sQ114_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f991,plain,
! [X0] :
( ~ sQ114_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f993,plain,
( ~ sQ14_spl
| ~ sQ28_spl
| sQ113_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f969,f990,f986,f177,f127]) ).
fof(f994,plain,
( ~ sQ14_spl
| ~ sQ28_spl
| sQ80_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f970,f990,f507,f177,f127]) ).
fof(f995,definition,
! [X0] :
( sQ115_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| sQ78_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f971,f995,f489,f177,f180]) ).
fof(f999,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| sQ90_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f972,f995,f646,f177,f180]) ).
fof(f1000,plain,
( ~ sQ28_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f973,f383,f177]) ).
fof(f1001,definition,
! [X0] :
( sQ116_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
( ~ sQ28_spl
| sQ76_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f974,f1001,f474,f177]) ).
fof(f1005,plain,
( ~ sQ28_spl
| sQ66_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f975,f1001,f383,f177]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ44_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f234,f714]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ44_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f234,f713]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ44_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f234,f519]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ44_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f234,f520]) ).
fof(f1010,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ44_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f234,f735]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ44_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f234,f734]) ).
fof(f1012,plain,
( ~ sQ44_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f234,f60]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f58]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f57]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f234,f50]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f234,f48]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f234,f46]) ).
fof(f1018,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f234,f55]) ).
fof(f1019,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f234,f53]) ).
fof(f1020,definition,
! [X0] :
( sQ117_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ117_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,plain,
( ~ sQ13_spl
| ~ sQ44_spl
| sQ78_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1006,f1020,f489,f233,f124]) ).
fof(f1024,plain,
( ~ sQ13_spl
| ~ sQ44_spl
| sQ106_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1007,f1020,f904,f233,f124]) ).
fof(f1025,definition,
! [X0] :
( sQ118_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( ~ sQ14_spl
| ~ sQ44_spl
| sQ106_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1008,f1025,f904,f233,f127]) ).
fof(f1029,plain,
( ~ sQ14_spl
| ~ sQ44_spl
| sQ80_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1009,f1025,f507,f233,f127]) ).
fof(f1030,definition,
! [X0] :
( sQ119_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
( ~ sQ29_spl
| ~ sQ44_spl
| sQ78_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f1010,f1030,f489,f233,f180]) ).
fof(f1034,plain,
( ~ sQ29_spl
| ~ sQ44_spl
| sQ74_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f1011,f1030,f456,f233,f180]) ).
fof(f1035,plain,
( ~ sQ44_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1012,f426,f233]) ).
fof(f1036,definition,
! [X0] :
( sQ120_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ120_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,plain,
( ~ sQ44_spl
| sQ76_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1013,f1036,f474,f233]) ).
fof(f1040,plain,
( ~ sQ44_spl
| sQ71_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1014,f1036,f426,f233]) ).
fof(f1041,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f42]) ).
fof(f1042,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f1041]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f420,f51]) ).
fof(f1044,plain,
( ~ sQ47_spl
| sQ78_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f1043,f422,f489,f242]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f421,f51]) ).
fof(f1046,plain,
( ~ sQ47_spl
| sQ85_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f1045,f422,f572,f242]) ).
fof(f1047,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f573,f41]) ).
fof(f1048,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f1047]) ).
fof(f1049,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f109,f582]) ).
fof(f1050,plain,
( ~ sQ93_spl
| ~ sQ8_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f109,f721]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ8_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f109,f586]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ8_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f109,f585]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f109,f58]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f109,f57]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f109,f50]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f109,f48]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f109,f46]) ).
fof(f1058,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f109,f55]) ).
fof(f1059,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f109,f53]) ).
fof(f1060,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1049,f507,f108,f114]) ).
fof(f1061,plain,
( ~ sQ93_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f51]) ).
fof(f1062,plain,
( ~ sQ93_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1063,plain,
( ~ sQ95_spl
| ~ sQ24_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f165,f742]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ24_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f165,f586]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ24_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f165,f585]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f165,f58]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f165,f57]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f165,f50]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f165,f48]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f165,f46]) ).
fof(f1071,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f165,f55]) ).
fof(f1072,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f165,f53]) ).
fof(f1073,plain,
( ~ sQ95_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1063,f51]) ).
fof(f1074,plain,
( ~ sQ95_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1073]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f392,f51]) ).
fof(f1076,plain,
( ~ sQ27_spl
| sQ74_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1075,f394,f456,f173]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f393,f51]) ).
fof(f1078,plain,
( ~ sQ27_spl
| sQ106_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1077,f394,f904,f173]) ).
fof(f1079,plain,
( ~ sQ77_spl
| ~ sQ40_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f221,f486]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ40_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f221,f393]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ40_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f221,f392]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f221,f586]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f221,f585]) ).
fof(f1084,plain,
( ~ sQ40_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f221,f61]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f58]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f57]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f50]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f221,f48]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f221,f46]) ).
fof(f1090,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f221,f55]) ).
fof(f1091,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f221,f53]) ).
fof(f1092,definition,
! [X0] :
( sQ121_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( ~ sQ27_spl
| ~ sQ40_spl
| sQ85_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1080,f1092,f572,f220,f173]) ).
fof(f1096,plain,
( ~ sQ27_spl
| ~ sQ40_spl
| sQ74_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1081,f1092,f456,f220,f173]) ).
fof(f1097,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| sQ80_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1082,f1025,f507,f220,f114]) ).
fof(f1098,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| sQ106_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1083,f1025,f904,f220,f114]) ).
fof(f1099,plain,
( ~ sQ40_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1084,f489,f220]) ).
fof(f1100,definition,
! [X0] :
( sQ122_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( ~ sQ40_spl
| sQ78_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1085,f1100,f489,f220]) ).
fof(f1104,plain,
( ~ sQ40_spl
| sQ97_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1086,f1100,f761,f220]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ56_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f277,f393]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ56_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f277,f392]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ56_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f277,f586]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ56_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f277,f585]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f277,f58]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f277,f50]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f277,f48]) ).
fof(f1113,plain,
( ~ sQ56_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f277,f56]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f277,f46]) ).
fof(f1115,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f277,f55]) ).
fof(f1116,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f277,f53]) ).
fof(f1117,plain,
( ~ sQ27_spl
| ~ sQ56_spl
| sQ85_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1105,f376,f572,f276,f173]) ).
fof(f1118,plain,
( ~ sQ27_spl
| ~ sQ56_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1106,f376,f507,f276,f173]) ).
fof(f1119,plain,
( ~ sQ10_spl
| ~ sQ56_spl
| sQ80_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1107,f521,f507,f276,f114]) ).
fof(f1120,plain,
( ~ sQ10_spl
| ~ sQ56_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1108,f521,f572,f276,f114]) ).
fof(f1121,plain,
( ~ sQ56_spl
| sQ78_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f1109,f766,f489,f276]) ).
fof(f1123,plain,
( ~ sQ56_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1113,f426,f276]) ).
fof(f1124,plain,
( ~ sQ10_spl
| ~ sQ24_spl
| sQ80_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1064,f990,f507,f164,f114]) ).
fof(f1125,plain,
( ~ sQ10_spl
| ~ sQ24_spl
| sQ113_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1065,f990,f986,f164,f114]) ).
fof(f1126,definition,
! [X0] :
( sQ123_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( ~ sQ24_spl
| sQ78_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1066,f1126,f489,f164]) ).
fof(f1130,plain,
( ~ sQ24_spl
| sQ69_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1067,f1126,f401,f164]) ).
fof(f1131,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f987,f43]) ).
fof(f1132,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1071,f51]) ).
fof(f1134,plain,
( ~ sQ24_spl
| sQ74_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1133,f1126,f456,f164]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1072,f51]) ).
fof(f1136,plain,
( ~ sQ24_spl
| sQ71_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1135,f1126,f426,f164]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f483,f51]) ).
fof(f1138,plain,
( ~ sQ59_spl
| sQ71_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1137,f485,f426,f285]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f484,f51]) ).
fof(f1140,plain,
( ~ sQ59_spl
| sQ106_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1139,f485,f904,f285]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f374,f51]) ).
fof(f1142,plain,
( ~ sQ31_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1141,f376,f507,f186]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f375,f51]) ).
fof(f1144,plain,
( ~ sQ31_spl
| sQ85_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1143,f376,f572,f186]) ).
fof(f1145,plain,
( ~ sQ114_spl
| ~ sQ4_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f991]) ).
fof(f1146,plain,
( ~ sQ118_spl
| ~ sQ4_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f96,f1026]) ).
fof(f1147,plain,
( ~ sQ86_spl
| ~ sQ4_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f96,f588]) ).
fof(f1148,plain,
( ~ sQ81_spl
| ~ sQ4_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f96,f522]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f96,f58]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f96,f57]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f96,f50]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f96,f48]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f96,f46]) ).
fof(f1154,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f96,f55]) ).
fof(f1155,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f96,f53]) ).
fof(f1156,plain,
( ~ sQ81_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1148,f51]) ).
fof(f1157,plain,
( ~ sQ81_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1156]) ).
fof(f1158,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f152,f1070]) ).
fof(f1159,plain,
( ~ sQ79_spl
| ~ sQ20_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f152,f504]) ).
fof(f1160,plain,
( ~ sQ72_spl
| ~ sQ20_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f152,f450]) ).
fof(f1161,plain,
( ~ sQ20_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f152,f61]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f58]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f57]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f50]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f152,f48]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f152,f46]) ).
fof(f1167,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f152,f55]) ).
fof(f1168,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f152,f53]) ).
fof(f1169,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f1158,f401,f151,f164]) ).
fof(f1170,plain,
( ~ sQ20_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1161,f507,f151]) ).
fof(f1171,definition,
! [X0] :
( sQ124_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
( ~ sQ20_spl
| sQ80_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1162,f1171,f507,f151]) ).
fof(f1175,plain,
( ~ sQ20_spl
| sQ90_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1163,f1171,f646,f151]) ).
fof(f1176,plain,
( ~ sQ83_spl
| ~ sQ36_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f208,f551]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f208,f58]) ).
fof(f1178,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f208,f57]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f208,f50]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f208,f48]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f208,f46]) ).
fof(f1182,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f208,f55]) ).
fof(f1183,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f208,f53]) ).
fof(f1184,plain,
( ~ sQ83_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1176,f51]) ).
fof(f1185,plain,
( ~ sQ83_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1184]) ).
fof(f1186,definition,
! [X0] :
( sQ125_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ125_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,plain,
( ~ sQ36_spl
| sQ80_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1177,f1186,f507,f207]) ).
fof(f1190,plain,
( ~ sQ36_spl
| sQ74_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1178,f1186,f456,f207]) ).
fof(f1191,plain,
( ~ sQ125_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1187,f51]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f447,f51]) ).
fof(f1193,plain,
( ~ sQ39_spl
| sQ69_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f1192,f449,f401,f216]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1182,f51]) ).
fof(f1195,plain,
( ~ sQ36_spl
| sQ69_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1194,f1186,f401,f207]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1183,f51]) ).
fof(f1197,plain,
( ~ sQ36_spl
| sQ66_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1196,f1186,f383,f207]) ).
fof(f1198,plain,
( ~ sQ36_spl
| ~ sQ52_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f264,f1180]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ52_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f264,f1183]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ52_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f264,f1182]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f264,f58]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f264,f50]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f264,f48]) ).
fof(f1205,plain,
( ~ sQ52_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f264,f56]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f264,f46]) ).
fof(f1207,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f264,f55]) ).
fof(f1208,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f264,f53]) ).
fof(f1209,plain,
( ~ sQ36_spl
| ~ sQ52_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1198,f489,f263,f207]) ).
fof(f1210,plain,
( ~ sQ36_spl
| ~ sQ52_spl
| sQ76_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1199,f1036,f474,f263,f207]) ).
fof(f1211,plain,
( ~ sQ36_spl
| ~ sQ52_spl
| sQ78_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1200,f1036,f489,f263,f207]) ).
fof(f1212,plain,
( ~ sQ52_spl
| sQ80_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1201,f534,f507,f263]) ).
fof(f1214,plain,
( ~ sQ52_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1205,f383,f263]) ).
fof(f1215,plain,
( ~ sQ0_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f83,f61]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f83,f58]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f83,f57]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f83,f50]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f83,f48]) ).
fof(f1220,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f83,f46]) ).
fof(f1221,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f83,f55]) ).
fof(f1222,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f83,f53]) ).
fof(f1223,plain,
( ~ sQ0_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1215,f572,f82]) ).
fof(f1224,definition,
! [X0] :
( sQ126_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
( ~ sQ0_spl
| sQ85_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1216,f1224,f572,f82]) ).
fof(f1228,plain,
( ~ sQ0_spl
| sQ108_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1217,f1224,f946,f82]) ).
fof(f1229,definition,
! [X0] :
( sQ127_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( ~ sQ4_spl
| sQ80_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1149,f1229,f507,f95]) ).
fof(f1233,plain,
( ~ sQ4_spl
| sQ73_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1150,f1229,f452,f95]) ).
fof(f1234,plain,
( ~ sQ49_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f254,f495]) ).
fof(f1235,plain,
( ~ sQ49_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1234]) ).
fof(f1236,plain,
( ~ sQ34_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f460]) ).
fof(f1237,plain,
( ~ sQ34_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1236]) ).
fof(f1238,definition,
! [X0] :
( sQ128_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ128_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1241,plain,
( ~ sQ5_spl
| sQ74_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f847,f1238,f456,f98]) ).
fof(f1242,plain,
( ~ sQ5_spl
| sQ73_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f848,f1238,f452,f98]) ).
fof(f1243,definition,
! [X0] :
( sQ129_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ129_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1243]) ).
fof(f1246,plain,
( ~ sQ8_spl
| sQ78_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1053,f1243,f489,f108]) ).
fof(f1247,plain,
( ~ sQ8_spl
| sQ68_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1054,f1243,f397,f108]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f852,f51]) ).
fof(f1271,plain,
( ~ sQ5_spl
| sQ113_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1270,f1238,f986,f98]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f853,f51]) ).
fof(f1273,plain,
( ~ sQ5_spl
| sQ69_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1272,f1238,f401,f98]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1058,f51]) ).
fof(f1275,plain,
( ~ sQ8_spl
| sQ106_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1274,f1243,f904,f108]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1059,f51]) ).
fof(f1277,plain,
( ~ sQ8_spl
| sQ71_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1276,f1243,f426,f108]) ).
fof(f1282,plain,
( ~ sQ67_spl
| ~ sQ16_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f139,f395]) ).
fof(f1283,plain,
( ~ sQ64_spl
| ~ sQ16_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f139,f377]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f139,f58]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f139,f57]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f139,f50]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f139,f48]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f139,f46]) ).
fof(f1289,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f139,f55]) ).
fof(f1290,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f139,f53]) ).
fof(f1291,plain,
( ~ sQ64_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1283,f51]) ).
fof(f1292,plain,
( ~ sQ64_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f1291]) ).
fof(f1293,definition,
! [X0] :
( sQ130_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ130_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1296,plain,
( ~ sQ16_spl
| sQ85_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1284,f1293,f572,f138]) ).
fof(f1297,plain,
( ~ sQ16_spl
| sQ113_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1285,f1293,f986,f138]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1289,f139]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1289,f51]) ).
fof(f1300,definition,
! [X0] :
( sQ131_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
( ~ sQ16_spl
| sQ90_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1298,f1300,f646,f138]) ).
fof(f1304,plain,
( ~ sQ16_spl
| sQ73_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1299,f1293,f452,f138]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1290,f139]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1290,f51]) ).
fof(f1307,plain,
( ~ sQ16_spl
| sQ76_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1305,f1300,f474,f138]) ).
fof(f1308,plain,
( ~ sQ16_spl
| sQ65_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1306,f1293,f379,f138]) ).
fof(f1309,plain,
( ~ sQ130_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1294,f51]) ).
fof(f1313,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f105,f849]) ).
fof(f1314,plain,
( ~ sQ81_spl
| ~ sQ7_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f105,f522]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ7_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f105,f853]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ7_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f105,f852]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ7_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f105,f1183]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ7_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f105,f1182]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f105,f58]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f105,f50]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f105,f48]) ).
fof(f1323,plain,
( ~ sQ7_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f105,f56]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f105,f46]) ).
fof(f1325,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f105,f55]) ).
fof(f1326,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f105,f53]) ).
fof(f1327,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f1313,f397,f104,f98]) ).
fof(f1328,definition,
! [X0] :
( sQ132_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| sQ68_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1315,f1328,f397,f104,f98]) ).
fof(f1332,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| sQ108_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1316,f1328,f946,f104,f98]) ).
fof(f1333,definition,
! [X0] :
( sQ133_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1336,plain,
( ~ sQ36_spl
| ~ sQ7_spl
| sQ65_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1317,f1333,f379,f104,f207]) ).
fof(f1337,plain,
( ~ sQ36_spl
| ~ sQ7_spl
| sQ68_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1318,f1333,f397,f104,f207]) ).
fof(f1338,definition,
! [X0] :
( sQ134_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1341,plain,
( ~ sQ7_spl
| sQ73_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1319,f1338,f452,f104]) ).
fof(f1343,plain,
( ~ sQ7_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1323,f986,f104]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f501,f51]) ).
fof(f1345,plain,
( ~ sQ55_spl
| sQ66_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f1344,f503,f383,f272]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f502,f51]) ).
fof(f1347,plain,
( ~ sQ55_spl
| sQ113_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f1346,f503,f986,f272]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ29_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f181,f421]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ29_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f181,f420]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ29_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f181,f519]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ29_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f181,f520]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f181,f735]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f181,f734]) ).
fof(f1364,definition,
! [X0] :
( sQ135_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ135_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1364]) ).
fof(f1367,plain,
( ~ sQ47_spl
| ~ sQ29_spl
| sQ106_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1351,f1364,f904,f180,f242]) ).
fof(f1368,plain,
( ~ sQ47_spl
| ~ sQ29_spl
| sQ69_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1352,f1364,f401,f180,f242]) ).
fof(f1369,definition,
! [X0] :
( sQ136_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ136_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1372,plain,
( ~ sQ14_spl
| ~ sQ29_spl
| sQ113_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1353,f1369,f986,f180,f127]) ).
fof(f1373,plain,
( ~ sQ14_spl
| ~ sQ29_spl
| sQ74_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1354,f1369,f456,f180,f127]) ).
fof(f1374,definition,
! [X0] :
( sQ137_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1377,plain,
( ~ sQ29_spl
| sQ97_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1355,f1374,f761,f180]) ).
fof(f1378,plain,
( ~ sQ29_spl
| sQ90_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1356,f1374,f646,f180]) ).
fof(f1384,plain,
( ~ sQ129_spl
| ~ sQ14_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f128,f1244]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ14_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f128,f421]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ14_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f128,f420]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f128,f519]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f128,f520]) ).
fof(f1389,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ14_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f128,f735]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ14_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f128,f734]) ).
fof(f1398,definition,
! [X0] :
( sQ138_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ138_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1398]) ).
fof(f1401,plain,
( ~ sQ47_spl
| ~ sQ14_spl
| sQ113_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1385,f1398,f986,f127,f242]) ).
fof(f1402,plain,
( ~ sQ47_spl
| ~ sQ14_spl
| sQ68_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1386,f1398,f397,f127,f242]) ).
fof(f1403,definition,
! [X0] :
( sQ139_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1406,plain,
( ~ sQ14_spl
| sQ108_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1387,f1403,f946,f127]) ).
fof(f1407,plain,
( ~ sQ14_spl
| sQ90_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1388,f1403,f646,f127]) ).
fof(f1408,plain,
( ~ sQ29_spl
| ~ sQ14_spl
| sQ69_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1389,f1369,f401,f127,f180]) ).
fof(f1409,plain,
( ~ sQ29_spl
| ~ sQ14_spl
| sQ73_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1390,f1369,f452,f127,f180]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ58_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f283,f1059]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ58_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f283,f1058]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ58_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f283,f393]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ58_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f283,f392]) ).
fof(f1428,definition,
! [X0] :
( sQ140_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ140_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1431,plain,
( ~ sQ8_spl
| ~ sQ58_spl
| sQ66_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1415,f1428,f383,f282,f108]) ).
fof(f1432,plain,
( ~ sQ8_spl
| ~ sQ58_spl
| sQ85_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1416,f1428,f572,f282,f108]) ).
fof(f1433,definition,
! [X0] :
( sQ141_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ141_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1436,plain,
( ~ sQ27_spl
| ~ sQ58_spl
| sQ113_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1417,f1433,f986,f282,f173]) ).
fof(f1437,plain,
( ~ sQ27_spl
| ~ sQ58_spl
| sQ80_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1418,f1433,f507,f282,f173]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ36_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f208,f502]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ36_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f208,f501]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ36_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f208,f853]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ36_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f208,f852]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f208,f1183]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f208,f1182]) ).
fof(f1458,definition,
! [X0] :
( sQ142_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ142_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1461,plain,
( ~ sQ55_spl
| ~ sQ36_spl
| sQ85_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1445,f1458,f572,f207,f272]) ).
fof(f1462,plain,
( ~ sQ55_spl
| ~ sQ36_spl
| sQ71_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1446,f1458,f426,f207,f272]) ).
fof(f1463,plain,
( ~ sQ5_spl
| ~ sQ36_spl
| sQ78_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1447,f1020,f489,f207,f98]) ).
fof(f1464,plain,
( ~ sQ5_spl
| ~ sQ36_spl
| sQ106_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1448,f1020,f904,f207,f98]) ).
fof(f1465,definition,
! [X0] :
( sQ143_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( ~ sQ36_spl
| sQ76_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1449,f1465,f474,f207]) ).
fof(f1469,plain,
( ~ sQ36_spl
| sQ97_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1450,f1465,f761,f207]) ).
fof(f1475,plain,
( ~ sQ95_spl
| ~ sQ27_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f174,f742]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ27_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f174,f1059]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ27_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f174,f1058]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f174,f393]) ).
fof(f1479,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f174,f392]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ27_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f174,f626]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ27_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f174,f627]) ).
fof(f1489,definition,
! [X0] :
( sQ144_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1490,plain,
! [X0] :
( ~ sQ144_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1489]) ).
fof(f1492,plain,
( ~ sQ8_spl
| ~ sQ27_spl
| sQ65_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1476,f1489,f379,f173,f108]) ).
fof(f1493,plain,
( ~ sQ8_spl
| ~ sQ27_spl
| sQ113_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1477,f1489,f986,f173,f108]) ).
fof(f1494,definition,
! [X0] :
( sQ145_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1497,plain,
( ~ sQ27_spl
| sQ108_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f1478,f1494,f946,f173]) ).
fof(f1498,plain,
( ~ sQ27_spl
| sQ90_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f1479,f1494,f646,f173]) ).
fof(f1499,plain,
( ~ sQ58_spl
| ~ sQ27_spl
| sQ66_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1480,f1433,f383,f173,f282]) ).
fof(f1500,plain,
( ~ sQ58_spl
| ~ sQ27_spl
| sQ73_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1481,f1433,f452,f173,f282]) ).
fof(f1503,plain,
( ~ sQ27_spl
| ~ sQ135_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f1365,f174]) ).
fof(f1504,plain,
( ~ sQ16_spl
| ~ sQ141_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1434,f139]) ).
fof(f1505,plain,
( ~ sQ14_spl
| ~ sQ140_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1429,f128]) ).
fof(f1506,plain,
( ~ sQ14_spl
| ~ sQ144_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1490,f128]) ).
fof(f1509,plain,
( ~ sQ138_spl
| ~ sQ5_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f99,f1399]) ).
fof(f1510,plain,
( ~ sQ136_spl
| ~ sQ5_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f99,f1370]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f99,f502]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f99,f501]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f99,f853]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f99,f852]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f99,f1183]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f99,f1182]) ).
fof(f1526,definition,
! [X0] :
( sQ146_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ146_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1526]) ).
fof(f1529,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| sQ106_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1513,f1526,f904,f98,f272]) ).
fof(f1530,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| sQ65_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1514,f1526,f379,f98,f272]) ).
fof(f1531,definition,
! [X0] :
( sQ147_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1534,plain,
( ~ sQ5_spl
| sQ97_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1515,f1531,f761,f98]) ).
fof(f1535,plain,
( ~ sQ5_spl
| sQ108_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1516,f1531,f946,f98]) ).
fof(f1536,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| sQ71_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1517,f1020,f426,f98,f207]) ).
fof(f1537,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| sQ68_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1518,f1020,f397,f98,f207]) ).
fof(f1542,plain,
( ~ sQ146_spl
| ~ sQ8_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f109,f1527]) ).
fof(f1543,plain,
( ~ sQ117_spl
| ~ sQ8_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f109,f1021]) ).
fof(f1545,plain,
( ~ sQ128_spl
| ~ sQ8_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f1239]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f109,f1059]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f109,f1058]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f109,f393]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f109,f392]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ8_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f109,f626]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ8_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f109,f627]) ).
fof(f1559,definition,
! [X0] :
( sQ148_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1562,plain,
( ~ sQ8_spl
| sQ76_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1546,f1559,f474,f108]) ).
fof(f1563,plain,
( ~ sQ8_spl
| sQ108_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1547,f1559,f946,f108]) ).
fof(f1564,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| sQ85_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1548,f1489,f572,f108,f173]) ).
fof(f1565,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| sQ73_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1549,f1489,f452,f108,f173]) ).
fof(f1566,plain,
( ~ sQ58_spl
| ~ sQ8_spl
| sQ65_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1550,f1428,f379,f108,f282]) ).
fof(f1567,plain,
( ~ sQ58_spl
| ~ sQ8_spl
| sQ80_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1551,f1428,f507,f108,f282]) ).
fof(f1572,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f243,f1459]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f243,f421]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f243,f420]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ47_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f243,f519]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ47_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f243,f520]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ47_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f243,f735]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ47_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f243,f734]) ).
fof(f1587,definition,
! [X0] :
( sQ149_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1590,plain,
( ~ sQ47_spl
| sQ108_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1574,f1587,f946,f242]) ).
fof(f1591,plain,
( ~ sQ47_spl
| sQ97_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1575,f1587,f761,f242]) ).
fof(f1592,plain,
( ~ sQ14_spl
| ~ sQ47_spl
| sQ106_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1576,f1398,f904,f242,f127]) ).
fof(f1593,plain,
( ~ sQ14_spl
| ~ sQ47_spl
| sQ73_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f1577,f1398,f452,f242,f127]) ).
fof(f1594,plain,
( ~ sQ29_spl
| ~ sQ47_spl
| sQ68_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1578,f1364,f397,f242,f180]) ).
fof(f1595,plain,
( ~ sQ29_spl
| ~ sQ47_spl
| sQ74_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1579,f1364,f456,f242,f180]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ49_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f254,f1290]) ).
fof(f1599,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ49_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f254,f1289]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f254,f58]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f254,f57]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f254,f50]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f254,f48]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f254,f46]) ).
fof(f1605,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f254,f55]) ).
fof(f1606,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f254,f53]) ).
fof(f1607,definition,
! [X0] :
( sQ150_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ150_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1610,plain,
( ~ sQ16_spl
| ~ sQ49_spl
| sQ71_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1598,f1607,f426,f253,f138]) ).
fof(f1611,plain,
( ~ sQ16_spl
| ~ sQ49_spl
| sQ80_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1599,f1607,f507,f253,f138]) ).
fof(f1612,definition,
! [X0] :
( sQ151_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ151_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1612]) ).
fof(f1615,plain,
( ~ sQ49_spl
| sQ106_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1600,f1612,f904,f253]) ).
fof(f1616,plain,
( ~ sQ49_spl
| sQ85_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1601,f1612,f572,f253]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1605,f254]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ49_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1605,f139]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1605,f51]) ).
fof(f1620,definition,
! [X0] :
( sQ152_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1623,plain,
( ~ sQ49_spl
| sQ76_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1617,f1620,f474,f253]) ).
fof(f1624,plain,
( ~ sQ16_spl
| ~ sQ49_spl
| sQ66_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1618,f1607,f383,f253,f138]) ).
fof(f1625,plain,
( ~ sQ49_spl
| sQ65_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1619,f1612,f379,f253]) ).
fof(f1626,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1606,f254]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ49_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1606,f139]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1606,f51]) ).
fof(f1629,plain,
( ~ sQ49_spl
| sQ97_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1626,f1620,f761,f253]) ).
fof(f1630,plain,
( ~ sQ16_spl
| ~ sQ49_spl
| sQ78_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1627,f1607,f489,f253,f138]) ).
fof(f1631,plain,
( ~ sQ49_spl
| sQ68_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1628,f1612,f397,f253]) ).
fof(f1632,plain,
( ~ sQ151_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f1613,f51]) ).
fof(f1633,plain,
( ~ sQ29_spl
| ~ sQ150_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1608,f181]) ).
fof(f1637,plain,
( ~ sQ70_spl
| ~ sQ34_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f201,f423]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ34_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f201,f1606]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ34_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f201,f1605]) ).
fof(f1640,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f201,f1290]) ).
fof(f1641,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f201,f1289]) ).
fof(f1642,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f201,f58]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f201,f57]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f201,f50]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f201,f48]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f201,f46]) ).
fof(f1647,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f201,f55]) ).
fof(f1648,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f201,f53]) ).
fof(f1649,plain,
( ~ sQ49_spl
| ~ sQ34_spl
| sQ69_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1638,f782,f401,f200,f253]) ).
fof(f1650,plain,
( ~ sQ49_spl
| ~ sQ34_spl
| sQ71_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1639,f782,f426,f200,f253]) ).
fof(f1651,definition,
! [X0] :
( sQ153_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ153_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1651]) ).
fof(f1654,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| sQ66_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1640,f1651,f383,f200,f138]) ).
fof(f1655,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| sQ74_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1641,f1651,f456,f200,f138]) ).
fof(f1656,definition,
! [X0] :
( sQ154_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ154_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1656]) ).
fof(f1659,plain,
( ~ sQ34_spl
| sQ113_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1642,f1656,f986,f200]) ).
fof(f1660,plain,
( ~ sQ34_spl
| sQ106_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1643,f1656,f904,f200]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1647,f201]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ34_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1647,f254]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1647,f139]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1647,f51]) ).
fof(f1665,definition,
! [X0] :
( sQ155_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1668,plain,
( ~ sQ34_spl
| sQ97_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1661,f1665,f761,f200]) ).
fof(f1669,plain,
( ~ sQ49_spl
| ~ sQ34_spl
| sQ78_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1662,f782,f489,f200,f253]) ).
fof(f1670,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| sQ69_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1663,f1651,f401,f200,f138]) ).
fof(f1671,plain,
( ~ sQ34_spl
| sQ68_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1664,f1656,f397,f200]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1648,f201]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ34_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1648,f254]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1648,f139]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1648,f51]) ).
fof(f1676,plain,
( ~ sQ34_spl
| sQ90_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f1672,f1665,f646,f200]) ).
fof(f1677,plain,
( ~ sQ49_spl
| ~ sQ34_spl
| sQ74_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1673,f782,f456,f200,f253]) ).
fof(f1678,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| sQ80_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1674,f1651,f507,f200,f138]) ).
fof(f1679,plain,
( ~ sQ34_spl
| sQ73_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1675,f1656,f452,f200]) ).
fof(f1680,plain,
( ~ sQ154_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1657,f51]) ).
fof(f1681,plain,
( ~ sQ36_spl
| ~ sQ99_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f783,f208]) ).
fof(f1682,plain,
( ~ sQ29_spl
| ~ sQ153_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f1652,f181]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f273,f502]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f273,f501]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ55_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f273,f853]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ55_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f273,f852]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f273,f1183]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f273,f1182]) ).
fof(f1702,definition,
! [X0] :
( sQ156_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1705,plain,
( ~ sQ55_spl
| sQ108_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1689,f1702,f946,f272]) ).
fof(f1706,plain,
( ~ sQ55_spl
| sQ76_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1690,f1702,f474,f272]) ).
fof(f1707,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| sQ68_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1691,f1526,f397,f272,f98]) ).
fof(f1708,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| sQ85_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1692,f1526,f572,f272,f98]) ).
fof(f1709,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| sQ65_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1693,f1458,f379,f272,f207]) ).
fof(f1710,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| sQ78_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1694,f1458,f489,f272,f207]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ14_spl
| sQ16_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| sQ27_spl
| ~ sQ28_spl
| sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| sQ34_spl
| sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| sQ49_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| sQ58_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| sQ79_spl
| ~ sQ80_spl
| sQ81_spl
| ~ sQ83_spl
| ~ sQ85_spl
| ~ sQ86_spl
| sQ88_spl
| sQ90_spl
| ~ sQ93_spl
| sQ95_spl
| sQ97_spl
| sQ99_spl
| ~ sQ106_spl
| sQ108_spl
| ~ sQ113_spl
| sQ117_spl
| sQ125_spl
| sQ128_spl
| sQ129_spl
| sQ130_spl
| sQ135_spl
| sQ136_spl
| sQ138_spl
| sQ140_spl
| sQ141_spl
| sQ142_spl
| sQ144_spl
| sQ146_spl
| sQ150_spl
| sQ151_spl
| sQ153_spl
| sQ154_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP123-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n026.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 20:01:07 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.70 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.17/0.70 % SZS output start Saturation for theBenchmark
% See solution above
% 0.26/0.76 % Elapsed time: 0.298466 seconds
% 0.26/0.76 % CPU time: 1.997590 seconds
% 0.26/0.76 % Total memory used: 32.977 MB
% 0.26/0.76 % Net memory used: 31.065 MB
%------------------------------------------------------------------------------