%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP125-4.004 : 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 : n019.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 12:35:50 PM UTC 2026
% Result : Satisfiable 0.12s 0.39s
% Output : Saturation 0.12s
% 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,negated_conjecture,
! [X,Y,Z1,Z2] :
( ~ product(Y,X,Z2)
| ~ product(Z1,Z2,X)
| product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y,X,Z2,Z1] :
( ~ product(X,Y,Z1)
| ~ product(Z1,Z2,X)
| product(Y,X,Z2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,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(f22,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(Z1,Z2,X)
| ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,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(f28,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(f29,plain,
! [X,Y,Z2] :
( ~ product(Y,X,Z2)
| ! [Z1] :
( ~ product(Z1,Z2,X)
| product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( ~ product(X1,X0,X3)
| ~ product(X2,X3,X0)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f31,plain,
! [Y,X,Z1] :
( ~ product(X,Y,Z1)
| ! [Z2] :
( ~ product(Z1,Z2,X)
| product(Y,X,Z2) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( ~ product(X1,X0,X3)
| ~ product(X3,X2,X1)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f34,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f35,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f36,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f37,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f40,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f41,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f42,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f43,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f44,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f45,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f46,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f47,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f48,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f49,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)],[f21]) ).
fof(f50,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f57,plain,
! [X,Z1,Z2] :
( product(Z1,Z2,X)
| ! [Y] :
( ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( product(X2,X3,X0)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( product(X0,X1,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f56,f58]) ).
fof(f60,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f56,f32]) ).
fof(f61,plain,
! [X0,X1] :
( ~ product(X1,X0,X0)
| product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f56,f30]) ).
fof(f65,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)],[f27,f36]) ).
fof(f66,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)],[f27,f35]) ).
fof(f67,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)],[f27,f34]) ).
fof(f68,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)],[f27,f33]) ).
fof(f69,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)],[f28,f36]) ).
fof(f70,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)],[f28,f35]) ).
fof(f71,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)],[f28,f34]) ).
fof(f72,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)],[f28,f33]) ).
fof(f73,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)],[f49,f36]) ).
fof(f74,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)],[f49,f35]) ).
fof(f75,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)],[f49,f34]) ).
fof(f76,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)],[f49,f33]) ).
fof(f77,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)],[f65,f36]) ).
fof(f78,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)],[f65,f35]) ).
fof(f79,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)],[f65,f34]) ).
fof(f80,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)],[f65,f33]) ).
fof(f81,definition,
( sQ0_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ0_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f83,plain,
( sQ0_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,definition,
( sQ1_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ1_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f86,plain,
( sQ1_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,definition,
( sQ2_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( ~ sQ2_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f89,plain,
( sQ2_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,definition,
( sQ3_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f77,f81,f84,f87,f90]) ).
fof(f94,definition,
( sQ4_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ4_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,definition,
( sQ5_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ5_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f99,plain,
( sQ5_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,definition,
( sQ6_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ6_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f102,plain,
( sQ6_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,definition,
( sQ7_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ7_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( sQ7_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f78,f94,f97,f100,f103]) ).
fof(f107,definition,
( sQ8_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( ~ sQ8_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,definition,
( sQ9_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ9_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( sQ9_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,definition,
( sQ10_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ10_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ11_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ11_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( sQ11_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f79,f107,f110,f113,f116]) ).
fof(f120,definition,
( sQ12_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ12_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f122,plain,
( sQ12_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ13_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ13_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,definition,
( sQ14_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( ~ sQ14_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f128,plain,
( sQ14_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,definition,
( sQ15_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ15_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f80,f120,f123,f126,f129]) ).
fof(f133,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)],[f66,f36]) ).
fof(f134,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)],[f66,f35]) ).
fof(f135,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)],[f66,f34]) ).
fof(f136,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)],[f66,f33]) ).
fof(f137,definition,
( sQ16_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ16_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ17_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ17_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ18_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ18_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ19_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ19_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f133,f137,f140,f143,f146]) ).
fof(f150,definition,
( sQ20_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ20_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ21_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ21_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ21_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ22_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f159,definition,
( sQ23_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ23_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ23_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f134,f150,f153,f156,f159]) ).
fof(f163,definition,
( sQ24_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ24_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ25_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ25_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ25_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ26_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ26_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ26_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ27_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ27_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ27_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f135,f163,f166,f169,f172]) ).
fof(f176,definition,
( sQ28_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ28_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f178,plain,
( sQ28_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,definition,
( sQ29_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ29_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ29_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ30_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ30_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f184,plain,
( sQ30_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ31_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ31_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f136,f176,f179,f182,f185]) ).
fof(f189,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)],[f67,f36]) ).
fof(f190,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)],[f67,f35]) ).
fof(f191,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)],[f67,f34]) ).
fof(f192,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)],[f67,f33]) ).
fof(f193,definition,
( sQ32_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ32_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ33_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ33_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ34_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ34_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ34_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
( sQ35_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ35_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( sQ35_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f189,f193,f196,f199,f202]) ).
fof(f206,definition,
( sQ36_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ36_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ36_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ37_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ37_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ37_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ38_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ38_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ38_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ39_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ39_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( sQ39_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f190,f206,f209,f212,f215]) ).
fof(f219,definition,
( sQ40_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ40_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ41_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f225,definition,
( sQ42_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ42_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ42_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ43_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f191,f219,f222,f225,f228]) ).
fof(f232,definition,
( sQ44_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ44_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ45_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ45_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ45_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ46_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ46_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ46_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ47_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ47_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ47_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f192,f232,f235,f238,f241]) ).
fof(f245,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)],[f68,f36]) ).
fof(f246,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)],[f68,f35]) ).
fof(f247,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)],[f68,f34]) ).
fof(f248,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)],[f68,f33]) ).
fof(f249,definition,
( sQ48_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ48_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ49_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ49_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ50_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ50_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ51_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ51_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ51_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f245,f249,f252,f255,f258]) ).
fof(f262,definition,
( sQ52_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ52_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ53_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ53_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ54_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ54_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ54_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ55_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ55_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( sQ55_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f246,f262,f265,f268,f271]) ).
fof(f275,definition,
( sQ56_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ56_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ56_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ57_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ57_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f280,plain,
( sQ57_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ58_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ58_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( sQ58_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ59_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ59_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ59_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f247,f275,f278,f281,f284]) ).
fof(f288,definition,
( sQ60_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f291,definition,
( sQ61_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ61_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ61_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ62_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ62_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ62_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ63_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ63_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ63_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f248,f288,f291,f294,f297]) ).
fof(f301,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)],[f69,f36]) ).
fof(f302,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)],[f69,f35]) ).
fof(f303,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)],[f69,f34]) ).
fof(f304,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)],[f69,f33]) ).
fof(f305,plain,
( sQ3_spl
| sQ19_spl
| sQ35_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f301,f258,f202,f146,f90]) ).
fof(f306,plain,
( sQ7_spl
| sQ23_spl
| sQ39_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f302,f271,f215,f159,f103]) ).
fof(f307,plain,
( sQ11_spl
| sQ27_spl
| sQ43_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f303,f284,f228,f172,f116]) ).
fof(f308,plain,
( sQ15_spl
| sQ31_spl
| sQ47_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f304,f297,f241,f185,f129]) ).
fof(f309,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)],[f70,f36]) ).
fof(f310,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)],[f70,f35]) ).
fof(f311,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)],[f70,f34]) ).
fof(f312,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)],[f70,f33]) ).
fof(f313,plain,
( sQ2_spl
| sQ18_spl
| sQ34_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f309,f255,f199,f143,f87]) ).
fof(f314,plain,
( sQ6_spl
| sQ22_spl
| sQ38_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f310,f268,f212,f156,f100]) ).
fof(f315,plain,
( sQ10_spl
| sQ26_spl
| sQ42_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f311,f281,f225,f169,f113]) ).
fof(f316,plain,
( sQ14_spl
| sQ30_spl
| sQ46_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f312,f294,f238,f182,f126]) ).
fof(f317,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)],[f71,f36]) ).
fof(f318,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)],[f71,f35]) ).
fof(f319,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)],[f71,f34]) ).
fof(f320,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)],[f71,f33]) ).
fof(f321,plain,
( sQ1_spl
| sQ17_spl
| sQ33_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f317,f252,f196,f140,f84]) ).
fof(f322,plain,
( sQ5_spl
| sQ21_spl
| sQ37_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f318,f265,f209,f153,f97]) ).
fof(f323,plain,
( sQ9_spl
| sQ25_spl
| sQ41_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f319,f278,f222,f166,f110]) ).
fof(f324,plain,
( sQ13_spl
| sQ29_spl
| sQ45_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f320,f291,f235,f179,f123]) ).
fof(f325,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)],[f72,f36]) ).
fof(f326,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)],[f72,f35]) ).
fof(f327,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)],[f72,f34]) ).
fof(f328,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)],[f72,f33]) ).
fof(f329,plain,
( sQ0_spl
| sQ16_spl
| sQ32_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f325,f249,f193,f137,f81]) ).
fof(f330,plain,
( sQ4_spl
| sQ20_spl
| sQ36_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f326,f262,f206,f150,f94]) ).
fof(f331,plain,
( sQ8_spl
| sQ24_spl
| sQ40_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f327,f275,f219,f163,f107]) ).
fof(f332,plain,
( sQ12_spl
| sQ28_spl
| sQ44_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f328,f288,f232,f176,f120]) ).
fof(f333,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)],[f73,f36]) ).
fof(f334,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)],[f73,f35]) ).
fof(f335,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)],[f73,f34]) ).
fof(f336,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)],[f73,f33]) ).
fof(f337,plain,
( sQ3_spl
| sQ7_spl
| sQ11_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f333,f129,f116,f103,f90]) ).
fof(f338,plain,
( sQ19_spl
| sQ23_spl
| sQ27_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f334,f185,f172,f159,f146]) ).
fof(f339,plain,
( sQ35_spl
| sQ39_spl
| sQ43_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f335,f241,f228,f215,f202]) ).
fof(f340,plain,
( sQ51_spl
| sQ55_spl
| sQ59_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f336,f297,f284,f271,f258]) ).
fof(f341,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)],[f74,f36]) ).
fof(f342,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)],[f74,f35]) ).
fof(f343,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)],[f74,f34]) ).
fof(f344,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)],[f74,f33]) ).
fof(f345,plain,
( sQ2_spl
| sQ6_spl
| sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f341,f126,f113,f100,f87]) ).
fof(f346,plain,
( sQ18_spl
| sQ22_spl
| sQ26_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f342,f182,f169,f156,f143]) ).
fof(f347,plain,
( sQ34_spl
| sQ38_spl
| sQ42_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f343,f238,f225,f212,f199]) ).
fof(f348,plain,
( sQ50_spl
| sQ54_spl
| sQ58_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f344,f294,f281,f268,f255]) ).
fof(f349,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)],[f75,f36]) ).
fof(f350,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)],[f75,f35]) ).
fof(f351,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)],[f75,f34]) ).
fof(f352,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)],[f75,f33]) ).
fof(f353,plain,
( sQ1_spl
| sQ5_spl
| sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f349,f123,f110,f97,f84]) ).
fof(f354,plain,
( sQ17_spl
| sQ21_spl
| sQ25_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f350,f179,f166,f153,f140]) ).
fof(f355,plain,
( sQ33_spl
| sQ37_spl
| sQ41_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f351,f235,f222,f209,f196]) ).
fof(f356,plain,
( sQ49_spl
| sQ53_spl
| sQ57_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f352,f291,f278,f265,f252]) ).
fof(f357,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)],[f76,f36]) ).
fof(f358,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)],[f76,f35]) ).
fof(f359,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)],[f76,f34]) ).
fof(f360,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)],[f76,f33]) ).
fof(f361,plain,
( sQ0_spl
| sQ4_spl
| sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f357,f120,f107,f94,f81]) ).
fof(f362,plain,
( sQ16_spl
| sQ20_spl
| sQ24_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f358,f176,f163,f150,f137]) ).
fof(f363,plain,
( sQ32_spl
| sQ36_spl
| sQ40_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f359,f232,f219,f206,f193]) ).
fof(f364,plain,
( sQ48_spl
| sQ52_spl
| sQ56_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f360,f288,f275,f262,f249]) ).
fof(f365,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f51,f56]) ).
fof(f366,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f365,f56]) ).
fof(f367,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f53,f56]) ).
fof(f369,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f55,f56]) ).
fof(f371,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f186,f55]) ).
fof(f372,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f186,f53]) ).
fof(f373,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f186,f51]) ).
fof(f374,plain,
! [X0] :
( ~ sQ31_spl
| product(e_1,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f186,f58]) ).
fof(f375,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f186,f32]) ).
fof(f376,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f186,f30]) ).
fof(f377,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f173,f55]) ).
fof(f378,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f173,f53]) ).
fof(f379,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f173,f51]) ).
fof(f380,plain,
! [X0] :
( ~ sQ27_spl
| product(e_2,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f173,f58]) ).
fof(f381,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f173,f32]) ).
fof(f382,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f173,f30]) ).
fof(f383,plain,
( ~ sQ23_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f160,f369]) ).
fof(f384,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f160,f55]) ).
fof(f385,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f160,f53]) ).
fof(f386,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f160,f51]) ).
fof(f387,plain,
( ~ sQ23_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f160,f61]) ).
fof(f388,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f160,f58]) ).
fof(f389,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f160,f32]) ).
fof(f390,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f160,f30]) ).
fof(f391,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f45]) ).
fof(f392,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f391]) ).
fof(f393,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f242,f55]) ).
fof(f394,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f242,f53]) ).
fof(f395,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f242,f51]) ).
fof(f396,plain,
! [X0] :
( ~ sQ47_spl
| product(e_1,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f242,f58]) ).
fof(f397,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f242,f32]) ).
fof(f398,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f242,f30]) ).
fof(f399,plain,
( ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f229,f369]) ).
fof(f400,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f229,f55]) ).
fof(f401,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f229,f53]) ).
fof(f402,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f229,f51]) ).
fof(f403,plain,
( ~ sQ43_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f229,f61]) ).
fof(f404,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f229,f58]) ).
fof(f405,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f229,f32]) ).
fof(f406,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(X0,e_2,e_2)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f229,f30]) ).
fof(f407,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f399,f42]) ).
fof(f408,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f216,f382]) ).
fof(f410,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f216,f55]) ).
fof(f411,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f216,f53]) ).
fof(f412,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f216,f51]) ).
fof(f413,plain,
! [X0] :
( ~ sQ39_spl
| product(e_3,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f216,f58]) ).
fof(f414,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f216,f32]) ).
fof(f415,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f216,f30]) ).
fof(f416,plain,
( ~ sQ47_spl
| ~ sQ27_spl
| ~ sQ39_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f409,f396]) ).
fof(f418,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f409,f369]) ).
fof(f419,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ39_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f409,f55]) ).
fof(f420,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f409,f53]) ).
fof(f421,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f409,f51]) ).
fof(f422,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f409,f61]) ).
fof(f423,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ39_spl
| product(e_4,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f409,f58]) ).
fof(f424,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ39_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f409,f32]) ).
fof(f425,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ39_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f409,f30]) ).
fof(f426,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f418,f47]) ).
fof(f427,plain,
( ~ sQ27_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f426]) ).
fof(f428,plain,
( ~ sQ63_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f298,f369]) ).
fof(f429,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f298,f55]) ).
fof(f430,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f298,f53]) ).
fof(f431,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f298,f51]) ).
fof(f432,plain,
( ~ sQ63_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f298,f61]) ).
fof(f433,plain,
! [X0] :
( ~ sQ63_spl
| product(e_1,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f298,f58]) ).
fof(f434,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f298,f32]) ).
fof(f435,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f298,f30]) ).
fof(f436,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f39]) ).
fof(f437,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( ~ sQ47_spl
| ~ sQ59_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f285,f398]) ).
fof(f439,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f285,f55]) ).
fof(f440,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f285,f53]) ).
fof(f441,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f285,f51]) ).
fof(f442,plain,
! [X0] :
( ~ sQ59_spl
| product(e_2,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f285,f58]) ).
fof(f443,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f285,f32]) ).
fof(f444,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f285,f30]) ).
fof(f446,plain,
( ~ sQ31_spl
| ~ sQ47_spl
| ~ sQ59_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f438,f375]) ).
fof(f447,plain,
( ~ sQ47_spl
| ~ sQ59_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f438,f369]) ).
fof(f448,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ59_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f438,f55]) ).
fof(f449,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f438,f53]) ).
fof(f450,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f438,f51]) ).
fof(f451,plain,
( ~ sQ47_spl
| ~ sQ59_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f438,f61]) ).
fof(f452,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ59_spl
| product(e_4,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f438,f58]) ).
fof(f453,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ59_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f438,f32]) ).
fof(f454,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ59_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f438,f30]) ).
fof(f455,plain,
( ~ sQ47_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f46]) ).
fof(f456,plain,
( ~ sQ47_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( ~ sQ31_spl
| ~ sQ55_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f272,f376]) ).
fof(f458,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f272,f55]) ).
fof(f459,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f272,f53]) ).
fof(f460,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f272,f51]) ).
fof(f461,plain,
! [X0] :
( ~ sQ55_spl
| product(e_3,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f272,f58]) ).
fof(f462,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f272,f32]) ).
fof(f463,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f272,f30]) ).
fof(f465,plain,
( ~ sQ31_spl
| ~ sQ55_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f457,f369]) ).
fof(f466,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f457,f55]) ).
fof(f467,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f457,f53]) ).
fof(f468,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f457,f51]) ).
fof(f469,plain,
( ~ sQ31_spl
| ~ sQ55_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f457,f61]) ).
fof(f470,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ55_spl
| product(e_4,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f457,f58]) ).
fof(f471,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ55_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f457,f32]) ).
fof(f472,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ55_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f457,f30]) ).
fof(f473,plain,
( ~ sQ31_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f465,f46]) ).
fof(f474,plain,
( ~ sQ31_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f473]) ).
fof(f475,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f127,f55]) ).
fof(f476,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f127,f53]) ).
fof(f477,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f127,f51]) ).
fof(f478,plain,
! [X0] :
( ~ sQ14_spl
| product(e_1,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f127,f58]) ).
fof(f479,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f127,f32]) ).
fof(f480,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f127,f30]) ).
fof(f481,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f183,f55]) ).
fof(f482,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f183,f53]) ).
fof(f483,plain,
( ~ sQ30_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f183,f365]) ).
fof(f484,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f183,f51]) ).
fof(f485,plain,
( ~ sQ30_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f183,f59]) ).
fof(f486,plain,
! [X0] :
( ~ sQ30_spl
| product(e_1,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f183,f58]) ).
fof(f487,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f183,f32]) ).
fof(f488,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f183,f30]) ).
fof(f489,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f43]) ).
fof(f490,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f491,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f239,f55]) ).
fof(f492,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f239,f53]) ).
fof(f493,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f239,f51]) ).
fof(f494,plain,
! [X0] :
( ~ sQ46_spl
| product(e_1,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f239,f58]) ).
fof(f495,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f239,f32]) ).
fof(f496,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f239,f30]) ).
fof(f497,plain,
( ~ sQ62_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f295,f369]) ).
fof(f498,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f295,f55]) ).
fof(f499,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f295,f53]) ).
fof(f500,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f295,f51]) ).
fof(f501,plain,
( ~ sQ62_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f295,f61]) ).
fof(f502,plain,
! [X0] :
( ~ sQ62_spl
| product(e_1,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f295,f58]) ).
fof(f503,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f295,f32]) ).
fof(f504,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f295,f30]) ).
fof(f505,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f38]) ).
fof(f506,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f505]) ).
fof(f507,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f114,f55]) ).
fof(f508,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f114,f53]) ).
fof(f509,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f114,f51]) ).
fof(f510,plain,
! [X0] :
( ~ sQ10_spl
| product(e_2,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f114,f58]) ).
fof(f511,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f114,f32]) ).
fof(f512,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f114,f30]) ).
fof(f513,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f170,f55]) ).
fof(f514,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f170,f53]) ).
fof(f515,plain,
( ~ sQ26_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f170,f365]) ).
fof(f516,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f170,f51]) ).
fof(f517,plain,
( ~ sQ26_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f170,f59]) ).
fof(f518,plain,
! [X0] :
( ~ sQ26_spl
| product(e_2,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f170,f58]) ).
fof(f519,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f170,f32]) ).
fof(f520,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f170,f30]) ).
fof(f521,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f44]) ).
fof(f522,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( ~ sQ42_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f226,f369]) ).
fof(f524,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f226,f55]) ).
fof(f525,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f226,f53]) ).
fof(f526,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f226,f51]) ).
fof(f527,plain,
( ~ sQ42_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f226,f61]) ).
fof(f528,plain,
! [X0] :
( ~ sQ42_spl
| product(e_2,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f226,f58]) ).
fof(f529,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f226,f32]) ).
fof(f530,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(X0,e_2,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f226,f30]) ).
fof(f531,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f41]) ).
fof(f532,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f531]) ).
fof(f533,plain,
( ~ sQ46_spl
| ~ sQ58_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f282,f496]) ).
fof(f534,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f282,f55]) ).
fof(f535,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f282,f53]) ).
fof(f536,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f282,f51]) ).
fof(f537,plain,
! [X0] :
( ~ sQ58_spl
| product(e_2,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f282,f58]) ).
fof(f538,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_2,X0,e_3)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f282,f32]) ).
fof(f539,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f282,f30]) ).
fof(f540,plain,
( ~ sQ46_spl
| ~ sQ58_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f539,f239]) ).
fof(f541,plain,
( ~ sQ58_spl
| ~ sQ46_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f533,f537]) ).
fof(f543,plain,
( ~ sQ14_spl
| ~ sQ46_spl
| ~ sQ58_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f533,f479]) ).
fof(f544,plain,
( ~ sQ46_spl
| ~ sQ58_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f533,f369]) ).
fof(f545,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ58_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f533,f55]) ).
fof(f546,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f533,f53]) ).
fof(f547,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f533,f51]) ).
fof(f548,plain,
( ~ sQ46_spl
| ~ sQ58_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f533,f61]) ).
fof(f549,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ58_spl
| product(e_3,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f533,f58]) ).
fof(f550,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ58_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f533,f32]) ).
fof(f551,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ58_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f533,f30]) ).
fof(f552,plain,
( ~ sQ46_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f43]) ).
fof(f553,plain,
( ~ sQ46_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f552]) ).
fof(f554,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f101,f55]) ).
fof(f555,plain,
( ~ sQ6_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f101,f367]) ).
fof(f556,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f101,f53]) ).
fof(f557,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f101,f51]) ).
fof(f558,plain,
( ~ sQ6_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f60]) ).
fof(f559,plain,
! [X0] :
( ~ sQ6_spl
| product(e_3,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f101,f58]) ).
fof(f560,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_3,X0,e_3)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f101,f32]) ).
fof(f561,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f101,f30]) ).
fof(f562,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f555,f45]) ).
fof(f563,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f564,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f213,f55]) ).
fof(f565,plain,
( ~ sQ38_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f213,f367]) ).
fof(f566,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f213,f53]) ).
fof(f567,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f213,f51]) ).
fof(f568,plain,
( ~ sQ38_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f213,f60]) ).
fof(f569,plain,
! [X0] :
( ~ sQ38_spl
| product(e_3,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f213,f58]) ).
fof(f570,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(e_3,X0,e_3)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f213,f32]) ).
fof(f571,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f213,f30]) ).
fof(f572,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f565,f44]) ).
fof(f573,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f572]) ).
fof(f574,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f269,f55]) ).
fof(f575,plain,
( ~ sQ54_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f269,f367]) ).
fof(f576,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f269,f53]) ).
fof(f577,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f269,f51]) ).
fof(f578,plain,
( ~ sQ54_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f269,f60]) ).
fof(f579,plain,
! [X0] :
( ~ sQ54_spl
| product(e_3,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f269,f58]) ).
fof(f580,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_3,X0,e_3)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f269,f32]) ).
fof(f581,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f269,f30]) ).
fof(f582,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f575,f43]) ).
fof(f583,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f582]) ).
fof(f584,plain,
( ~ sQ2_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f88,f369]) ).
fof(f585,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f88,f55]) ).
fof(f586,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f88,f53]) ).
fof(f587,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f88,f51]) ).
fof(f588,plain,
( ~ sQ2_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f88,f61]) ).
fof(f589,plain,
! [X0] :
( ~ sQ2_spl
| product(e_4,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f88,f58]) ).
fof(f590,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f88,f32]) ).
fof(f591,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f88,f30]) ).
fof(f592,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f48]) ).
fof(f593,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f592]) ).
fof(f594,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f124,f55]) ).
fof(f595,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f124,f53]) ).
fof(f596,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f124,f51]) ).
fof(f597,plain,
! [X0] :
( ~ sQ13_spl
| product(e_1,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f124,f58]) ).
fof(f598,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f124,f32]) ).
fof(f599,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f124,f30]) ).
fof(f600,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f180,f55]) ).
fof(f601,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f180,f53]) ).
fof(f602,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f180,f51]) ).
fof(f603,plain,
! [X0] :
( ~ sQ29_spl
| product(e_1,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f180,f58]) ).
fof(f604,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f180,f32]) ).
fof(f605,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f180,f30]) ).
fof(f606,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f236,f55]) ).
fof(f607,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f236,f53]) ).
fof(f608,plain,
( ~ sQ45_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f236,f365]) ).
fof(f609,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f236,f51]) ).
fof(f610,plain,
( ~ sQ45_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f236,f59]) ).
fof(f611,plain,
! [X0] :
( ~ sQ45_spl
| product(e_1,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f236,f58]) ).
fof(f612,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f236,f32]) ).
fof(f613,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f236,f30]) ).
fof(f614,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f608,f40]) ).
fof(f615,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( ~ sQ61_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f292,f369]) ).
fof(f617,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f292,f55]) ).
fof(f618,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f292,f53]) ).
fof(f619,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f292,f51]) ).
fof(f620,plain,
( ~ sQ61_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f292,f61]) ).
fof(f621,plain,
! [X0] :
( ~ sQ61_spl
| product(e_1,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f292,f58]) ).
fof(f622,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_1,X0,e_2)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f292,f32]) ).
fof(f623,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(X0,e_1,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f292,f30]) ).
fof(f624,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f616,f37]) ).
fof(f625,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f626,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f111,f55]) ).
fof(f627,plain,
( ~ sQ9_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f111,f367]) ).
fof(f628,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f111,f53]) ).
fof(f629,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f111,f51]) ).
fof(f630,plain,
( ~ sQ9_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f111,f60]) ).
fof(f631,plain,
! [X0] :
( ~ sQ9_spl
| product(e_2,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f111,f58]) ).
fof(f632,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(e_2,X0,e_2)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f111,f32]) ).
fof(f633,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f111,f30]) ).
fof(f634,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f627,f42]) ).
fof(f635,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f634]) ).
fof(f636,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f167,f55]) ).
fof(f637,plain,
( ~ sQ25_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f167,f367]) ).
fof(f638,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f167,f53]) ).
fof(f639,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f167,f51]) ).
fof(f640,plain,
( ~ sQ25_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f60]) ).
fof(f641,plain,
! [X0] :
( ~ sQ25_spl
| product(e_2,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f167,f58]) ).
fof(f642,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(e_2,X0,e_2)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f167,f32]) ).
fof(f643,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f167,f30]) ).
fof(f644,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f637,f41]) ).
fof(f645,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f644]) ).
fof(f646,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f279,f55]) ).
fof(f647,plain,
( ~ sQ57_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f279,f367]) ).
fof(f648,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f279,f53]) ).
fof(f649,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f279,f51]) ).
fof(f650,plain,
( ~ sQ57_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f279,f60]) ).
fof(f651,plain,
! [X0] :
( ~ sQ57_spl
| product(e_2,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f279,f58]) ).
fof(f652,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_2,X0,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f279,f32]) ).
fof(f653,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f279,f30]) ).
fof(f654,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f40]) ).
fof(f655,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f654]) ).
fof(f656,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f98,f511]) ).
fof(f657,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f98,f55]) ).
fof(f658,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f98,f53]) ).
fof(f659,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f98,f51]) ).
fof(f660,plain,
! [X0] :
( ~ sQ5_spl
| product(e_3,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f98,f58]) ).
fof(f661,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f98,f32]) ).
fof(f662,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f98,f30]) ).
fof(f663,plain,
( ~ sQ10_spl
| ~ sQ21_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f154,f511]) ).
fof(f664,plain,
( ~ sQ21_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f154,f369]) ).
fof(f665,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f154,f55]) ).
fof(f666,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f154,f53]) ).
fof(f667,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f154,f51]) ).
fof(f668,plain,
( ~ sQ21_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f154,f61]) ).
fof(f669,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f154,f58]) ).
fof(f670,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f154,f32]) ).
fof(f671,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(X0,e_3,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f154,f30]) ).
fof(f672,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f44]) ).
fof(f673,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f672]) ).
fof(f674,plain,
( ~ sQ10_spl
| ~ sQ37_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f210,f511]) ).
fof(f675,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f210,f55]) ).
fof(f676,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f210,f53]) ).
fof(f677,plain,
( ~ sQ37_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f210,f365]) ).
fof(f678,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f210,f51]) ).
fof(f679,plain,
( ~ sQ37_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f210,f59]) ).
fof(f680,plain,
! [X0] :
( ~ sQ37_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f210,f58]) ).
fof(f681,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f210,f32]) ).
fof(f682,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f210,f30]) ).
fof(f683,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f41]) ).
fof(f684,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f683]) ).
fof(f685,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f266,f511]) ).
fof(f686,plain,
( ~ sQ29_spl
| ~ sQ53_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f266,f605]) ).
fof(f687,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f266,f55]) ).
fof(f688,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f266,f53]) ).
fof(f689,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f266,f51]) ).
fof(f690,plain,
! [X0] :
( ~ sQ53_spl
| product(e_3,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f266,f58]) ).
fof(f691,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_3,X0,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f266,f32]) ).
fof(f692,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f30]) ).
fof(f693,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| ~ sQ5_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f656,f597]) ).
fof(f695,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f656,f55]) ).
fof(f696,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f656,f367]) ).
fof(f697,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f656,f53]) ).
fof(f698,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f656,f51]) ).
fof(f699,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f656,f60]) ).
fof(f700,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ5_spl
| product(e_4,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f656,f58]) ).
fof(f701,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ5_spl
| ~ product(e_4,X0,e_4)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f656,f32]) ).
fof(f702,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ5_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f656,f30]) ).
fof(f703,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f696,f47]) ).
fof(f704,plain,
( ~ sQ10_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| ~ sQ53_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f686,f598]) ).
fof(f707,plain,
( ~ sQ29_spl
| ~ sQ53_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f686,f369]) ).
fof(f708,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ53_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f686,f55]) ).
fof(f709,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f686,f53]) ).
fof(f710,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f686,f51]) ).
fof(f711,plain,
( ~ sQ29_spl
| ~ sQ53_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f686,f61]) ).
fof(f712,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ53_spl
| product(e_2,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f686,f58]) ).
fof(f713,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ53_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f686,f32]) ).
fof(f714,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ53_spl
| ~ product(X0,e_2,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f686,f30]) ).
fof(f715,plain,
( ~ sQ29_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f40]) ).
fof(f716,plain,
( ~ sQ29_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f715]) ).
fof(f717,plain,
( ~ sQ53_spl
| ~ sQ58_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f538,f266]) ).
fof(f718,plain,
( ~ sQ53_spl
| ~ sQ58_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f717,f690]) ).
fof(f720,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ58_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f717,f55]) ).
fof(f721,plain,
( ~ sQ53_spl
| ~ sQ58_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f717,f367]) ).
fof(f722,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ58_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f717,f53]) ).
fof(f723,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ58_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f717,f51]) ).
fof(f724,plain,
( ~ sQ53_spl
| ~ sQ58_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f717,f60]) ).
fof(f725,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ58_spl
| product(e_1,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f717,f58]) ).
fof(f726,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ58_spl
| ~ product(e_1,X0,e_1)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f717,f32]) ).
fof(f727,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ58_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f717,f30]) ).
fof(f728,plain,
( ~ sQ53_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f721,f37]) ).
fof(f729,plain,
( ~ sQ53_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( ~ sQ53_spl
| ~ sQ10_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f685,f690]) ).
fof(f733,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ53_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f685,f55]) ).
fof(f734,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f685,f53]) ).
fof(f735,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f685,f51]) ).
fof(f736,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ53_spl
| product(e_4,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f685,f58]) ).
fof(f737,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ53_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f685,f32]) ).
fof(f738,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ53_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f685,f30]) ).
fof(f739,plain,
( ~ sQ53_spl
| ~ sQ10_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f731,f691]) ).
fof(f740,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f731,f55]) ).
fof(f741,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f731,f53]) ).
fof(f742,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f731,f51]) ).
fof(f747,plain,
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f739,f478]) ).
fof(f749,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f739,f55]) ).
fof(f750,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f739,f53]) ).
fof(f751,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f739,f51]) ).
fof(f752,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| product(e_1,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f739,f58]) ).
fof(f753,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| ~ product(e_1,X0,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f739,f32]) ).
fof(f754,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f739,f30]) ).
fof(f755,plain,
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f747,f479]) ).
fof(f756,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f747,f55]) ).
fof(f757,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f747,f53]) ).
fof(f758,plain,
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f747,f365]) ).
fof(f759,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f747,f51]) ).
fof(f760,plain,
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f747,f59]) ).
fof(f761,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f747,f58]) ).
fof(f762,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f747,f32]) ).
fof(f763,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| ~ product(X0,e_3,e_1)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f747,f30]) ).
fof(f764,plain,
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f38]) ).
fof(f765,plain,
( ~ sQ14_spl
| ~ sQ53_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f764]) ).
fof(f781,plain,
( ~ sQ1_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f85,f369]) ).
fof(f782,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f85,f55]) ).
fof(f783,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f85,f53]) ).
fof(f784,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f85,f51]) ).
fof(f785,plain,
( ~ sQ1_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f85,f61]) ).
fof(f786,plain,
! [X0] :
( ~ sQ1_spl
| product(e_4,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f85,f58]) ).
fof(f787,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f85,f32]) ).
fof(f788,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f85,f30]) ).
fof(f789,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f47]) ).
fof(f790,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f789]) ).
fof(f791,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f121,f55]) ).
fof(f792,plain,
( ~ sQ12_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f121,f367]) ).
fof(f793,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f121,f53]) ).
fof(f794,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f121,f51]) ).
fof(f795,plain,
( ~ sQ12_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f121,f60]) ).
fof(f796,plain,
! [X0] :
( ~ sQ12_spl
| product(e_1,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f121,f58]) ).
fof(f797,plain,
! [X0] :
( ~ sQ12_spl
| ~ product(e_1,X0,e_1)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f121,f32]) ).
fof(f798,plain,
! [X0] :
( ~ sQ12_spl
| ~ product(X0,e_1,e_4)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f121,f30]) ).
fof(f799,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f792,f39]) ).
fof(f800,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f801,plain,
( ~ sQ53_spl
| ~ sQ10_spl
| ~ sQ28_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f177,f749]) ).
fof(f802,plain,
( ~ sQ53_spl
| ~ sQ28_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f177,f692]) ).
fof(f803,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f177,f55]) ).
fof(f804,plain,
( ~ sQ28_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f177,f367]) ).
fof(f805,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f177,f53]) ).
fof(f806,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f177,f51]) ).
fof(f807,plain,
( ~ sQ28_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f177,f60]) ).
fof(f808,plain,
! [X0] :
( ~ sQ28_spl
| product(e_1,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f177,f58]) ).
fof(f809,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(e_1,X0,e_1)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f177,f32]) ).
fof(f810,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(X0,e_1,e_3)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f177,f30]) ).
fof(f811,plain,
( ~ sQ53_spl
| ~ sQ10_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f46]) ).
fof(f812,plain,
( ~ sQ53_spl
| ~ sQ10_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f813,plain,
( ~ sQ13_spl
| ~ sQ24_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f164,f598]) ).
fof(f814,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f164,f55]) ).
fof(f815,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f164,f53]) ).
fof(f816,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f164,f51]) ).
fof(f817,plain,
! [X0] :
( ~ sQ24_spl
| product(e_2,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f164,f58]) ).
fof(f818,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f164,f32]) ).
fof(f819,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(X0,e_2,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f164,f30]) ).
fof(f821,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f813,f55]) ).
fof(f822,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f813,f53]) ).
fof(f823,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ24_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f813,f51]) ).
fof(f824,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ24_spl
| product(e_4,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f813,f58]) ).
fof(f825,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ24_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f813,f32]) ).
fof(f826,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ24_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f813,f30]) ).
fof(f831,plain,
( ~ sQ13_spl
| ~ sQ24_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f818,f124]) ).
fof(f832,plain,
( ~ sQ13_spl
| ~ sQ24_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f831,f215,f163,f123]) ).
fof(f833,plain,
( ~ sQ24_spl
| ~ sQ13_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f824,f164]) ).
fof(f836,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f833,f55]) ).
fof(f837,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f833,f53]) ).
fof(f838,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f833,f51]) ).
fof(f839,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ13_spl
| product(e_3,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f833,f58]) ).
fof(f840,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ13_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f833,f32]) ).
fof(f841,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ13_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f833,f30]) ).
fof(f842,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f413,f124]) ).
fof(f844,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f415,f164]) ).
fof(f850,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f276,f598]) ).
fof(f851,plain,
( ~ sQ46_spl
| ~ sQ56_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f276,f496]) ).
fof(f852,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f55]) ).
fof(f853,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f276,f53]) ).
fof(f854,plain,
( ~ sQ56_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f365]) ).
fof(f855,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f276,f51]) ).
fof(f856,plain,
( ~ sQ56_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f276,f59]) ).
fof(f857,plain,
! [X0] :
( ~ sQ56_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f276,f58]) ).
fof(f858,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_2,X0,e_1)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f276,f32]) ).
fof(f859,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f276,f30]) ).
fof(f860,plain,
( ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f37]) ).
fof(f861,plain,
~ sQ56_spl,
inference(contradiction_clause,[status(thm)],[f860]) ).
fof(f862,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| ~ sQ36_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f207,f735]) ).
fof(f863,plain,
( ~ sQ53_spl
| ~ sQ36_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f207,f690]) ).
fof(f864,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f207,f495]) ).
fof(f865,plain,
( ~ sQ24_spl
| ~ sQ13_spl
| ~ sQ36_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f207,f836]) ).
fof(f866,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f207,f819]) ).
fof(f867,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f207,f55]) ).
fof(f868,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f207,f53]) ).
fof(f869,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f207,f51]) ).
fof(f870,plain,
! [X0] :
( ~ sQ36_spl
| product(e_3,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f207,f58]) ).
fof(f871,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f207,f32]) ).
fof(f872,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(X0,e_3,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f207,f30]) ).
fof(f873,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f862,f48]) ).
fof(f874,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f873]) ).
fof(f875,plain,
( ~ sQ59_spl
| ~ sQ0_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f82,f442]) ).
fof(f877,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| ~ sQ0_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f82,f734]) ).
fof(f878,plain,
( ~ sQ0_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f82,f369]) ).
fof(f879,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f82,f55]) ).
fof(f880,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f82,f53]) ).
fof(f881,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f82,f51]) ).
fof(f882,plain,
( ~ sQ0_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f82,f61]) ).
fof(f883,plain,
! [X0] :
( ~ sQ0_spl
| product(e_4,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f82,f58]) ).
fof(f884,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_4,X0,e_1)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f82,f32]) ).
fof(f885,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_4,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f82,f30]) ).
fof(f886,plain,
( ~ sQ59_spl
| ~ sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f875,f84,f81,f284]) ).
fof(f888,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f877,f42]) ).
fof(f889,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f888]) ).
fof(f890,plain,
( ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ51_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f259,f821]) ).
fof(f891,plain,
( ~ sQ13_spl
| ~ sQ51_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f259,f599]) ).
fof(f892,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f259,f55]) ).
fof(f893,plain,
( ~ sQ51_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f259,f367]) ).
fof(f894,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f259,f53]) ).
fof(f895,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f259,f51]) ).
fof(f896,plain,
( ~ sQ51_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f259,f60]) ).
fof(f897,plain,
! [X0] :
( ~ sQ51_spl
| product(e_4,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f259,f58]) ).
fof(f898,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(e_4,X0,e_4)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f259,f32]) ).
fof(f899,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(X0,e_4,e_1)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f259,f30]) ).
fof(f900,plain,
( ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f890,f45]) ).
fof(f901,plain,
( ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f900]) ).
fof(f902,plain,
( ~ sQ24_spl
| ~ sQ13_spl
| ~ sQ35_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f203,f838]) ).
fof(f903,plain,
( ~ sQ13_spl
| ~ sQ35_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f203,f597]) ).
fof(f904,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| ~ sQ35_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f203,f733]) ).
fof(f905,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f203,f512]) ).
fof(f906,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f203,f55]) ).
fof(f907,plain,
( ~ sQ35_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f203,f367]) ).
fof(f908,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f203,f53]) ).
fof(f909,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f203,f51]) ).
fof(f910,plain,
( ~ sQ35_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f203,f60]) ).
fof(f911,plain,
! [X0] :
( ~ sQ35_spl
| product(e_4,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f203,f58]) ).
fof(f912,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_4,X0,e_4)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f203,f32]) ).
fof(f913,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f203,f30]) ).
fof(f914,plain,
( ~ sQ24_spl
| ~ sQ13_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f902,f45]) ).
fof(f915,plain,
( ~ sQ24_spl
| ~ sQ13_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f914]) ).
fof(f916,plain,
( ~ sQ46_spl
| ~ sQ17_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f141,f494]) ).
fof(f917,plain,
( ~ sQ59_spl
| ~ sQ17_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f141,f443]) ).
fof(f918,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f141,f55]) ).
fof(f919,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f141,f53]) ).
fof(f920,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f141,f51]) ).
fof(f921,plain,
! [X0] :
( ~ sQ17_spl
| product(e_4,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f141,f58]) ).
fof(f922,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(e_4,X0,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f141,f32]) ).
fof(f923,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(X0,e_4,e_3)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f141,f30]) ).
fof(f925,plain,
( ~ sQ46_spl
| ~ sQ17_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f916,f495]) ).
fof(f927,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f916,f55]) ).
fof(f928,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f916,f53]) ).
fof(f929,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f916,f51]) ).
fof(f930,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| product(e_3,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f916,f58]) ).
fof(f931,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| ~ product(e_3,X0,e_1)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f916,f32]) ).
fof(f932,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f916,f30]) ).
fof(f933,plain,
( ~ sQ17_spl
| ~ sQ59_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f917,f921]) ).
fof(f935,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f917,f55]) ).
fof(f936,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f917,f53]) ).
fof(f937,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f917,f51]) ).
fof(f938,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ17_spl
| product(e_1,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f917,f58]) ).
fof(f939,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ17_spl
| ~ product(e_1,X0,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f917,f32]) ).
fof(f940,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ17_spl
| ~ product(X0,e_1,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f917,f30]) ).
fof(f943,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f925,f55]) ).
fof(f944,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f925,f53]) ).
fof(f945,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f925,f51]) ).
fof(f946,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| product(e_2,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f925,f58]) ).
fof(f947,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f925,f32]) ).
fof(f948,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ17_spl
| ~ product(X0,e_2,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f925,f30]) ).
fof(f952,plain,
( ~ sQ46_spl
| ~ sQ17_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f930,f925]) ).
fof(f953,plain,
( ~ sQ17_spl
| ~ sQ11_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f117,f922]) ).
fof(f954,plain,
( ~ sQ53_spl
| ~ sQ10_spl
| ~ sQ11_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f117,f740]) ).
fof(f955,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| ~ sQ11_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f117,f738]) ).
fof(f956,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f117,f55]) ).
fof(f957,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f117,f53]) ).
fof(f958,plain,
( ~ sQ11_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f117,f365]) ).
fof(f959,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f117,f51]) ).
fof(f960,plain,
( ~ sQ11_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f117,f59]) ).
fof(f961,plain,
! [X0] :
( ~ sQ11_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f117,f58]) ).
fof(f962,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_2,X0,e_4)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f117,f32]) ).
fof(f963,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(X0,e_2,e_4)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f117,f30]) ).
fof(f964,plain,
( ~ sQ53_spl
| ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f954,f45]) ).
fof(f965,plain,
( ~ sQ53_spl
| ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f964]) ).
fof(f966,plain,
( ~ sQ24_spl
| ~ sQ13_spl
| ~ sQ7_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f104,f837]) ).
fof(f967,plain,
( ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ7_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f104,f825]) ).
fof(f968,plain,
( ~ sQ46_spl
| ~ sQ17_spl
| ~ sQ7_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f104,f927]) ).
fof(f969,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f104,f923]) ).
fof(f970,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f104,f55]) ).
fof(f971,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f104,f53]) ).
fof(f972,plain,
( ~ sQ7_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f104,f365]) ).
fof(f973,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f104,f51]) ).
fof(f974,plain,
( ~ sQ7_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f104,f59]) ).
fof(f975,plain,
! [X0] :
( ~ sQ7_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f104,f58]) ).
fof(f976,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_3,X0,e_4)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f104,f32]) ).
fof(f977,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(X0,e_3,e_4)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f104,f30]) ).
fof(f978,plain,
( ~ sQ24_spl
| ~ sQ13_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f966,f42]) ).
fof(f979,plain,
( ~ sQ24_spl
| ~ sQ13_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f985,plain,
( ~ sQ17_spl
| ~ sQ46_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f932,f141]) ).
fof(f988,plain,
( ~ sQ59_spl
| ~ sQ17_spl
| ~ sQ34_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f200,f937]) ).
fof(f989,plain,
( ~ sQ17_spl
| ~ sQ34_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f200,f921]) ).
fof(f990,plain,
( ~ sQ39_spl
| ~ sQ34_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f200,f414]) ).
fof(f991,plain,
( ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ34_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f200,f822]) ).
fof(f992,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| ~ sQ34_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f200,f733]) ).
fof(f993,plain,
( ~ sQ10_spl
| ~ sQ34_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f200,f512]) ).
fof(f994,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f200,f55]) ).
fof(f995,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f200,f53]) ).
fof(f996,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f200,f51]) ).
fof(f997,plain,
! [X0] :
( ~ sQ34_spl
| product(e_4,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f200,f58]) ).
fof(f998,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_4,X0,e_3)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f200,f32]) ).
fof(f999,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(X0,e_4,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f200,f30]) ).
fof(f1000,plain,
( ~ sQ59_spl
| ~ sQ17_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f988,f39]) ).
fof(f1001,plain,
( ~ sQ59_spl
| ~ sQ17_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1000]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ14_spl
| sQ17_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| sQ31_spl
| sQ32_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| sQ39_spl
| sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| sQ50_spl
| ~ sQ51_spl
| sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ59_spl
| sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl
| ~ sQ63_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP125-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 19:59:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.12/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.056811 seconds
% 0.12/0.41 % CPU time: 0.214174 seconds
% 0.12/0.41 % Total memory used: 20.334 MB
% 0.12/0.41 % Net memory used: 19.977 MB
%------------------------------------------------------------------------------