%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP128-4.004 : 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 : n006.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 12:35:55 PM UTC 2026
% Result : Satisfiable 0.97s 0.73s
% Output : Saturation 2.32s
% 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(Z1,Y,Z2)
| ~ product(X,Z1,Z2)
| product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Z1,Y,Z2,X] :
( ~ product(X,Y,Z1)
| ~ product(X,Z1,Z2)
| product(Z1,Y,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,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(X,Z1,Z2)
| ~ product(Z1,Y,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0,X1] :
( product(e_4,X0,X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
! [X0,X1] :
( product(X0,e_4,X1)
| product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f28,plain,
! [Y,Z1,Z2] :
( ~ product(Z1,Y,Z2)
| ! [X] :
( ~ product(X,Z1,Z2)
| product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ~ product(X2,X1,X3)
| ~ product(X0,X2,X3)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [Z1,Y,X] :
( ~ product(X,Y,Z1)
| ! [Z2] :
( ~ product(X,Z1,Z2)
| product(Z1,Y,Z2) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( ~ product(X3,X1,X0)
| ~ product(X3,X0,X2)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f33,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f34,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f35,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f37,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f38,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f39,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f40,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f41,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f42,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f43,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f44,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f45,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f46,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f47,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f48,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(f49,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [X,Z1,Z2] :
( product(X,Z1,Z2)
| ! [Y] :
( ~ product(Z1,Y,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( product(X0,X2,X3)
| ~ product(X2,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [X0] :
( product(e_4,X0,e_1)
| product(e_3,X0,e_1)
| product(e_2,X0,e_1)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f32,f26]) ).
fof(f58,plain,
! [X0] :
( product(e_4,X0,e_2)
| product(e_3,X0,e_2)
| product(e_2,X0,e_2)
| product(e_1,X0,e_2)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f33,f26]) ).
fof(f59,plain,
! [X0] :
( product(e_4,X0,e_3)
| product(e_3,X0,e_3)
| product(e_2,X0,e_3)
| product(e_1,X0,e_3)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f34,f26]) ).
fof(f60,plain,
! [X0] :
( product(e_4,X0,e_4)
| product(e_3,X0,e_4)
| product(e_2,X0,e_4)
| product(e_1,X0,e_4)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f35,f26]) ).
fof(f61,plain,
! [X0] :
( product(X0,e_4,e_4)
| product(X0,e_3,e_4)
| product(X0,e_2,e_4)
| product(X0,e_1,e_4)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f27,f35]) ).
fof(f62,plain,
! [X0] :
( product(X0,e_4,e_3)
| product(X0,e_3,e_3)
| product(X0,e_2,e_3)
| product(X0,e_1,e_3)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f27,f34]) ).
fof(f63,plain,
! [X0] :
( product(X0,e_4,e_2)
| product(X0,e_3,e_2)
| product(X0,e_2,e_2)
| product(X0,e_1,e_2)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f27,f33]) ).
fof(f64,plain,
! [X0] :
( product(X0,e_4,e_1)
| product(X0,e_3,e_1)
| product(X0,e_2,e_1)
| product(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f27,f32]) ).
fof(f65,plain,
! [X0] :
( product(X0,e_4,e_4)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f35]) ).
fof(f66,plain,
! [X0] :
( product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f34]) ).
fof(f67,plain,
! [X0] :
( product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f33]) ).
fof(f68,plain,
! [X0] :
( product(X0,e_1,e_4)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f32]) ).
fof(f69,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)],[f57,f35]) ).
fof(f70,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)],[f57,f34]) ).
fof(f71,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)],[f57,f33]) ).
fof(f72,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)],[f57,f32]) ).
fof(f73,definition,
( sQ0_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ0_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f75,plain,
( sQ0_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,definition,
( sQ1_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ1_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f78,plain,
( sQ1_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,definition,
( sQ2_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f80,plain,
( ~ sQ2_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f81,plain,
( sQ2_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,definition,
( sQ3_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ3_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( sQ3_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f69,f73,f76,f79,f82]) ).
fof(f86,definition,
( sQ4_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ4_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f88,plain,
( sQ4_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,definition,
( sQ5_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ5_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f91,plain,
( sQ5_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,definition,
( sQ6_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ6_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f94,plain,
( sQ6_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,definition,
( sQ7_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ7_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f97,plain,
( sQ7_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f70,f86,f89,f92,f95]) ).
fof(f99,definition,
( sQ8_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ8_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( sQ8_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,definition,
( sQ9_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ9_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( sQ9_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ10_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ10_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( sQ10_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ11_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ11_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f110,plain,
( sQ11_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f71,f99,f102,f105,f108]) ).
fof(f112,definition,
( sQ12_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ12_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ13_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ13_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f117,plain,
( sQ13_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ14_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ14_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ14_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ15_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ15_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ15_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f72,f112,f115,f118,f121]) ).
fof(f125,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f122,f54]) ).
fof(f126,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f122,f52]) ).
fof(f127,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f122,f50]) ).
fof(f128,plain,
! [X0] :
( ~ sQ15_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f122,f56]) ).
fof(f129,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f122,f31]) ).
fof(f130,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(X0,e_4,e_1)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f122,f29]) ).
fof(f131,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_1,X0,e_1)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f122,f29]) ).
fof(f132,plain,
( ~ sQ15_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f129,f122]) ).
fof(f133,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f132,f54]) ).
fof(f134,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f132,f52]) ).
fof(f135,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f132,f50]) ).
fof(f142,plain,
( ~ sQ15_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f133,f132]) ).
fof(f143,plain,
( ~ sQ15_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f133,f122]) ).
fof(f144,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f45]) ).
fof(f145,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f144]) ).
fof(f146,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f119,f54]) ).
fof(f147,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f119,f52]) ).
fof(f148,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f119,f50]) ).
fof(f149,plain,
! [X0] :
( ~ sQ14_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f119,f56]) ).
fof(f150,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f119,f31]) ).
fof(f151,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f119,f29]) ).
fof(f152,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(e_1,X0,e_1)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f119,f29]) ).
fof(f153,plain,
( ~ sQ14_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f150,f119]) ).
fof(f154,plain,
! [X0] :
( ~ sQ14_spl
| product(e_4,X0,e_1)
| product(e_3,X0,e_1)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f57,f152]) ).
fof(f155,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f116,f54]) ).
fof(f156,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f116,f52]) ).
fof(f157,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f116,f50]) ).
fof(f158,plain,
! [X0] :
( ~ sQ13_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f116,f56]) ).
fof(f159,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f116,f31]) ).
fof(f160,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(X0,e_2,e_1)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f116,f29]) ).
fof(f161,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(e_1,X0,e_1)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f116,f29]) ).
fof(f163,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f113,f54]) ).
fof(f164,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f113,f52]) ).
fof(f165,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f113,f50]) ).
fof(f172,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f109,f54]) ).
fof(f173,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f109,f52]) ).
fof(f174,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f109,f50]) ).
fof(f175,plain,
! [X0] :
( ~ sQ11_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f109,f56]) ).
fof(f176,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f109,f31]) ).
fof(f177,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(X0,e_4,e_1)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f109,f29]) ).
fof(f178,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_2,X0,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f109,f29]) ).
fof(f179,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f106,f54]) ).
fof(f180,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f181,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f50]) ).
fof(f182,plain,
! [X0] :
( ~ sQ10_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f106,f56]) ).
fof(f183,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f31]) ).
fof(f184,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f185,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_2,X0,e_1)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f186,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f103,f54]) ).
fof(f187,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f103,f52]) ).
fof(f188,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f103,f50]) ).
fof(f189,plain,
! [X0] :
( ~ sQ9_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f103,f56]) ).
fof(f190,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f103,f31]) ).
fof(f191,plain,
( ~ sQ9_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f103,f29]) ).
fof(f192,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(X0,e_2,e_1)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f103,f29]) ).
fof(f194,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(e_2,X0,e_1)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f103,f29]) ).
fof(f195,plain,
( ~ sQ14_spl
| ~ sQ8_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f152]) ).
fof(f196,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f54]) ).
fof(f197,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f100,f52]) ).
fof(f198,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f100,f50]) ).
fof(f199,plain,
! [X0] :
( ~ sQ8_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f56]) ).
fof(f200,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f100,f31]) ).
fof(f201,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f29]) ).
fof(f202,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f100,f29]) ).
fof(f203,plain,
( ~ sQ14_spl
| ~ sQ7_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f96,f151]) ).
fof(f204,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f54]) ).
fof(f205,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f96,f52]) ).
fof(f206,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f96,f50]) ).
fof(f207,plain,
! [X0] :
( ~ sQ7_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f96,f56]) ).
fof(f208,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f96,f31]) ).
fof(f209,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(X0,e_4,e_1)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f96,f29]) ).
fof(f210,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_3,X0,e_1)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f96,f29]) ).
fof(f211,plain,
( ~ sQ14_spl
| ~ sQ6_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f93,f151]) ).
fof(f212,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f93,f54]) ).
fof(f213,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f93,f52]) ).
fof(f214,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f93,f50]) ).
fof(f215,plain,
! [X0] :
( ~ sQ6_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f93,f56]) ).
fof(f216,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f93,f31]) ).
fof(f217,plain,
( ~ sQ6_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f93,f29]) ).
fof(f218,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f93,f29]) ).
fof(f220,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_3,X0,e_1)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f93,f29]) ).
fof(f221,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f90,f151]) ).
fof(f222,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f90,f54]) ).
fof(f223,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f90,f52]) ).
fof(f224,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f90,f50]) ).
fof(f225,plain,
! [X0] :
( ~ sQ5_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f90,f56]) ).
fof(f226,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f90,f31]) ).
fof(f227,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(X0,e_2,e_1)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f90,f29]) ).
fof(f228,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(e_3,X0,e_1)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f90,f29]) ).
fof(f229,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)],[f58,f35]) ).
fof(f230,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)],[f58,f34]) ).
fof(f231,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)],[f58,f33]) ).
fof(f232,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)],[f58,f32]) ).
fof(f233,definition,
( sQ16_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ16_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ16_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ17_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ17_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ17_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ18_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ18_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ18_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ19_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ19_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ19_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f229,f233,f236,f239,f242]) ).
fof(f246,definition,
( sQ20_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ20_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ20_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ21_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ21_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ21_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ22_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( sQ22_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ23_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ23_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f257,plain,
( sQ23_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f230,f246,f249,f252,f255]) ).
fof(f259,definition,
( sQ24_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ24_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( sQ24_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ25_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ25_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( sQ25_spl
| ~ product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ26_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ26_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( sQ26_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ27_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ27_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ27_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f231,f259,f262,f265,f268]) ).
fof(f272,definition,
( sQ28_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ28_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ28_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ29_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ29_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ29_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ30_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ30_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f280,plain,
( sQ30_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ31_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ31_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( sQ31_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f232,f272,f275,f278,f281]) ).
fof(f285,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)],[f59,f35]) ).
fof(f286,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)],[f59,f34]) ).
fof(f287,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)],[f59,f33]) ).
fof(f288,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)],[f59,f32]) ).
fof(f289,definition,
( sQ32_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ32_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( sQ32_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ33_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ33_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ33_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ34_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ34_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ34_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ35_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ35_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ35_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f285,f289,f292,f295,f298]) ).
fof(f302,definition,
( sQ36_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ36_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ36_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ37_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ37_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f307,plain,
( sQ37_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ38_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ38_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ38_spl
| ~ product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ39_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ39_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ39_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f286,f302,f305,f308,f311]) ).
fof(f315,definition,
( sQ40_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ40_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( sQ40_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ41_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ41_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ41_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ42_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ42_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( sQ42_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ43_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f287,f315,f318,f321,f324]) ).
fof(f328,definition,
( sQ44_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ44_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f330,plain,
( sQ44_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
( sQ45_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ45_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f333,plain,
( sQ45_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,definition,
( sQ46_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ46_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f336,plain,
( sQ46_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,definition,
( sQ47_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ47_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f339,plain,
( sQ47_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f288,f328,f331,f334,f337]) ).
fof(f341,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)],[f60,f35]) ).
fof(f342,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)],[f60,f34]) ).
fof(f343,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)],[f60,f33]) ).
fof(f344,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)],[f60,f32]) ).
fof(f345,definition,
( sQ48_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ48_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ48_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
( sQ49_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ49_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ49_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ50_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ50_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ50_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ51_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ51_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f341,f345,f348,f351,f354]) ).
fof(f358,definition,
( sQ52_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ52_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f360,plain,
( sQ52_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ53_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ53_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( sQ53_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ54_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ54_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ54_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ55_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ55_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ55_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f342,f358,f361,f364,f367]) ).
fof(f371,definition,
( sQ56_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( ~ sQ56_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f373,plain,
( sQ56_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,definition,
( sQ57_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ57_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( sQ57_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ58_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ58_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ58_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ59_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ59_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ59_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f343,f371,f374,f377,f380]) ).
fof(f384,definition,
( sQ60_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ60_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f386,plain,
( sQ60_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,definition,
( sQ61_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ61_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f389,plain,
( sQ61_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,definition,
( sQ62_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( ~ sQ62_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f392,plain,
( sQ62_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ63_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ63_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f395,plain,
( sQ63_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f344,f384,f387,f390,f393]) ).
fof(f397,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f191,f54]) ).
fof(f398,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f191,f52]) ).
fof(f399,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f191,f50]) ).
fof(f406,plain,
( ~ sQ14_spl
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f154,f35]) ).
fof(f407,plain,
( ~ sQ14_spl
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f154,f34]) ).
fof(f408,plain,
( ~ sQ14_spl
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f154,f33]) ).
fof(f410,plain,
( ~ sQ14_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f406,f76,f79,f82,f118]) ).
fof(f411,plain,
( ~ sQ14_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f407,f89,f92,f95,f118]) ).
fof(f412,plain,
( ~ sQ14_spl
| sQ11_spl
| sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f408,f102,f105,f108,f118]) ).
fof(f414,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f54]) ).
fof(f415,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f217,f52]) ).
fof(f416,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f217,f50]) ).
fof(f423,plain,
( ~ sQ9_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f397,f191]) ).
fof(f426,plain,
( ~ sQ9_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f399,f103]) ).
fof(f427,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f426,f36]) ).
fof(f428,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( ~ sQ13_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f159,f116]) ).
fof(f430,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f83,f54]) ).
fof(f431,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f83,f52]) ).
fof(f432,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f83,f50]) ).
fof(f433,plain,
! [X0] :
( ~ sQ3_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f83,f56]) ).
fof(f434,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f83,f31]) ).
fof(f435,plain,
( ~ sQ3_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f83,f29]) ).
fof(f436,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(X0,e_4,e_1)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f83,f29]) ).
fof(f438,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(e_4,X0,e_1)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f83,f29]) ).
fof(f439,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f282,f158]) ).
fof(f440,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f282,f54]) ).
fof(f441,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f282,f52]) ).
fof(f442,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f282,f50]) ).
fof(f443,plain,
! [X0] :
( ~ sQ31_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f282,f56]) ).
fof(f444,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f282,f31]) ).
fof(f445,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f282,f29]) ).
fof(f446,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_1,X0,e_2)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f282,f29]) ).
fof(f447,plain,
( ~ sQ13_spl
| ~ sQ30_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f279,f158]) ).
fof(f448,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f279,f54]) ).
fof(f449,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f279,f52]) ).
fof(f450,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f279,f50]) ).
fof(f451,plain,
! [X0] :
( ~ sQ30_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f279,f56]) ).
fof(f452,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f279,f31]) ).
fof(f453,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f279,f29]) ).
fof(f454,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_1,X0,e_2)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f279,f29]) ).
fof(f455,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f159]) ).
fof(f456,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f276,f158]) ).
fof(f457,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f54]) ).
fof(f458,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f276,f52]) ).
fof(f459,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f276,f50]) ).
fof(f460,plain,
! [X0] :
( ~ sQ29_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f56]) ).
fof(f461,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_2,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f276,f31]) ).
fof(f462,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f29]) ).
fof(f463,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_1,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f276,f29]) ).
fof(f464,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f456,f102,f275,f115]) ).
fof(f465,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f273,f54]) ).
fof(f466,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f273,f52]) ).
fof(f467,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f273,f50]) ).
fof(f468,plain,
! [X0] :
( ~ sQ28_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f273,f56]) ).
fof(f469,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f273,f31]) ).
fof(f470,plain,
( ~ sQ28_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f273,f29]) ).
fof(f471,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f273,f29]) ).
fof(f473,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(e_1,X0,e_2)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f273,f29]) ).
fof(f474,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f269,f54]) ).
fof(f475,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f269,f52]) ).
fof(f476,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f269,f50]) ).
fof(f477,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f269,f56]) ).
fof(f478,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f269,f31]) ).
fof(f479,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f269,f29]) ).
fof(f480,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_2,X0,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f269,f29]) ).
fof(f481,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f266,f54]) ).
fof(f482,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f52]) ).
fof(f483,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f266,f50]) ).
fof(f484,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f266,f56]) ).
fof(f485,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f266,f31]) ).
fof(f486,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f266,f29]) ).
fof(f487,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_2,X0,e_2)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f29]) ).
fof(f488,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f263,f54]) ).
fof(f489,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f263,f52]) ).
fof(f490,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f263,f50]) ).
fof(f497,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)],[f61,f35]) ).
fof(f498,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)],[f61,f34]) ).
fof(f499,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)],[f61,f33]) ).
fof(f500,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)],[f61,f32]) ).
fof(f501,plain,
( sQ51_spl
| sQ55_spl
| sQ59_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f497,f393,f380,f367,f354]) ).
fof(f502,plain,
( sQ50_spl
| sQ54_spl
| sQ58_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f498,f390,f377,f364,f351]) ).
fof(f503,plain,
( sQ49_spl
| sQ53_spl
| sQ57_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f499,f387,f374,f361,f348]) ).
fof(f504,plain,
( sQ48_spl
| sQ52_spl
| sQ56_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f500,f384,f371,f358,f345]) ).
fof(f505,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)],[f62,f35]) ).
fof(f506,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)],[f62,f34]) ).
fof(f507,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)],[f62,f33]) ).
fof(f508,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)],[f62,f32]) ).
fof(f509,plain,
( sQ35_spl
| sQ39_spl
| sQ43_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f505,f337,f324,f311,f298]) ).
fof(f510,plain,
( sQ34_spl
| sQ38_spl
| sQ42_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f506,f334,f321,f308,f295]) ).
fof(f511,plain,
( sQ33_spl
| sQ37_spl
| sQ41_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f507,f331,f318,f305,f292]) ).
fof(f512,plain,
( sQ32_spl
| sQ36_spl
| sQ40_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f508,f328,f315,f302,f289]) ).
fof(f513,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)],[f63,f35]) ).
fof(f514,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)],[f63,f34]) ).
fof(f515,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)],[f63,f33]) ).
fof(f516,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)],[f63,f32]) ).
fof(f517,plain,
( sQ19_spl
| sQ23_spl
| sQ27_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f513,f281,f268,f255,f242]) ).
fof(f518,plain,
( sQ18_spl
| sQ22_spl
| sQ26_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f514,f278,f265,f252,f239]) ).
fof(f519,plain,
( sQ17_spl
| sQ21_spl
| sQ25_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f515,f275,f262,f249,f236]) ).
fof(f520,plain,
( sQ16_spl
| sQ20_spl
| sQ24_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f516,f272,f259,f246,f233]) ).
fof(f521,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f435,f54]) ).
fof(f522,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f435,f52]) ).
fof(f523,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f435,f50]) ).
fof(f530,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f470,f54]) ).
fof(f531,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f470,f52]) ).
fof(f532,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f470,f50]) ).
fof(f539,plain,
( ~ sQ6_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f414,f217]) ).
fof(f542,plain,
( ~ sQ6_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f416,f93]) ).
fof(f543,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f542,f37]) ).
fof(f544,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f545,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f521,f435]) ).
fof(f546,plain,
( ~ sQ31_spl
| ~ sQ11_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f176,f282]) ).
fof(f547,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f177,f83]) ).
fof(f548,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f260,f54]) ).
fof(f549,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f52]) ).
fof(f550,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f50]) ).
fof(f551,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f260,f56]) ).
fof(f552,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f31]) ).
fof(f553,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f260,f29]) ).
fof(f554,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_2,X0,e_2)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f29]) ).
fof(f555,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f256,f54]) ).
fof(f556,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f256,f52]) ).
fof(f557,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f256,f50]) ).
fof(f558,plain,
! [X0] :
( ~ sQ23_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f256,f56]) ).
fof(f559,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f256,f31]) ).
fof(f560,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f256,f29]) ).
fof(f561,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(e_3,X0,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f256,f29]) ).
fof(f562,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f253,f54]) ).
fof(f563,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f253,f52]) ).
fof(f564,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f253,f50]) ).
fof(f565,plain,
! [X0] :
( ~ sQ22_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f253,f56]) ).
fof(f566,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f253,f31]) ).
fof(f567,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f253,f29]) ).
fof(f568,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f253,f29]) ).
fof(f570,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_3,X0,e_2)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f253,f29]) ).
fof(f571,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f250,f54]) ).
fof(f572,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f250,f52]) ).
fof(f573,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f250,f50]) ).
fof(f574,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f250,f56]) ).
fof(f575,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_2,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f250,f31]) ).
fof(f576,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f250,f29]) ).
fof(f577,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f250,f29]) ).
fof(f578,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f247,f54]) ).
fof(f579,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f247,f52]) ).
fof(f580,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f50]) ).
fof(f581,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f56]) ).
fof(f582,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f31]) ).
fof(f583,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f29]) ).
fof(f584,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_3,X0,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f247,f29]) ).
fof(f585,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f243,f54]) ).
fof(f586,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f243,f52]) ).
fof(f587,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f243,f50]) ).
fof(f588,plain,
! [X0] :
( ~ sQ19_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f243,f56]) ).
fof(f589,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f243,f31]) ).
fof(f591,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f243,f29]) ).
fof(f592,plain,
( ~ sQ19_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f243,f29]) ).
fof(f593,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(e_4,X0,e_2)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f243,f29]) ).
fof(f594,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f240,f54]) ).
fof(f595,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f240,f52]) ).
fof(f596,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f240,f50]) ).
fof(f597,plain,
! [X0] :
( ~ sQ18_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f240,f56]) ).
fof(f598,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f240,f31]) ).
fof(f599,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f240,f29]) ).
fof(f600,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_4,X0,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f240,f29]) ).
fof(f601,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f237,f54]) ).
fof(f602,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f237,f52]) ).
fof(f603,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f237,f50]) ).
fof(f604,plain,
! [X0] :
( ~ sQ17_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f237,f56]) ).
fof(f605,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(e_2,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f237,f31]) ).
fof(f606,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f237,f29]) ).
fof(f607,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(e_4,X0,e_2)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f237,f29]) ).
fof(f608,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)],[f64,f35]) ).
fof(f609,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)],[f64,f34]) ).
fof(f610,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)],[f64,f33]) ).
fof(f611,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)],[f64,f32]) ).
fof(f612,plain,
( sQ3_spl
| sQ7_spl
| sQ11_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f608,f121,f108,f95,f82]) ).
fof(f613,plain,
( sQ2_spl
| sQ6_spl
| sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f609,f118,f105,f92,f79]) ).
fof(f614,plain,
( sQ1_spl
| sQ5_spl
| sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f610,f115,f102,f89,f76]) ).
fof(f615,plain,
( sQ0_spl
| sQ4_spl
| sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f611,f112,f99,f86,f73]) ).
fof(f616,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)],[f65,f35]) ).
fof(f617,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)],[f65,f34]) ).
fof(f618,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)],[f65,f33]) ).
fof(f619,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)],[f65,f32]) ).
fof(f620,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f616,f82,f242,f298,f354]) ).
fof(f621,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f617,f79,f239,f295,f351]) ).
fof(f622,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f618,f76,f236,f292,f348]) ).
fof(f623,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f619,f73,f233,f289,f345]) ).
fof(f624,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)],[f66,f35]) ).
fof(f625,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)],[f66,f34]) ).
fof(f626,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)],[f66,f33]) ).
fof(f627,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)],[f66,f32]) ).
fof(f628,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f624,f95,f255,f311,f367]) ).
fof(f629,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f625,f92,f252,f308,f364]) ).
fof(f630,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f626,f89,f249,f305,f361]) ).
fof(f631,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f627,f86,f246,f302,f358]) ).
fof(f633,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f547,f54]) ).
fof(f634,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f547,f52]) ).
fof(f635,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f547,f50]) ).
fof(f636,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ11_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f547,f56]) ).
fof(f637,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ11_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f547,f31]) ).
fof(f638,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ11_spl
| ~ product(X0,e_4,e_4)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f547,f29]) ).
fof(f639,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ11_spl
| ~ product(e_2,X0,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f547,f29]) ).
fof(f640,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f567,f54]) ).
fof(f641,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f567,f52]) ).
fof(f642,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f567,f50]) ).
fof(f649,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f178,f90]) ).
fof(f651,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f522,f547]) ).
fof(f652,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f651,f41]) ).
fof(f653,plain,
( ~ sQ3_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f652]) ).
fof(f654,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f592,f54]) ).
fof(f655,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f592,f52]) ).
fof(f656,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f592,f50]) ).
fof(f663,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f530,f470]) ).
fof(f664,plain,
( ~ sQ30_spl
| ~ sQ10_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f183,f279]) ).
fof(f665,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f234,f54]) ).
fof(f666,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f234,f52]) ).
fof(f667,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f234,f50]) ).
fof(f668,plain,
! [X0] :
( ~ sQ16_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f234,f56]) ).
fof(f669,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f234,f31]) ).
fof(f670,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f234,f29]) ).
fof(f671,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(e_4,X0,e_2)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f234,f29]) ).
fof(f672,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f338,f54]) ).
fof(f673,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f338,f52]) ).
fof(f674,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f338,f50]) ).
fof(f675,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f338,f56]) ).
fof(f676,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f338,f31]) ).
fof(f677,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f338,f29]) ).
fof(f678,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(e_1,X0,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f338,f29]) ).
fof(f679,plain,
( ~ sQ10_spl
| ~ sQ46_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f335,f183]) ).
fof(f680,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f335,f54]) ).
fof(f681,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f335,f52]) ).
fof(f682,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f335,f50]) ).
fof(f683,plain,
! [X0] :
( ~ sQ46_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f335,f56]) ).
fof(f684,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f335,f31]) ).
fof(f685,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f335,f29]) ).
fof(f686,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f335,f29]) ).
fof(f687,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f332,f54]) ).
fof(f688,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f332,f52]) ).
fof(f689,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f332,f50]) ).
fof(f690,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f332,f56]) ).
fof(f691,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_2,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f332,f31]) ).
fof(f692,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(X0,e_2,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f332,f29]) ).
fof(f693,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_1,X0,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f332,f29]) ).
fof(f694,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f329,f54]) ).
fof(f695,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f329,f52]) ).
fof(f696,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f329,f50]) ).
fof(f697,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f329,f56]) ).
fof(f698,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f329,f31]) ).
fof(f699,plain,
( ~ sQ44_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f329,f29]) ).
fof(f700,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f329,f29]) ).
fof(f701,plain,
( ~ sQ44_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f329,f29]) ).
fof(f702,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(e_1,X0,e_3)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f329,f29]) ).
fof(f703,plain,
( ~ sQ10_spl
| ~ sQ43_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f325,f182]) ).
fof(f704,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f325,f54]) ).
fof(f705,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f325,f52]) ).
fof(f706,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f325,f50]) ).
fof(f707,plain,
! [X0] :
( ~ sQ43_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f325,f56]) ).
fof(f708,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f325,f31]) ).
fof(f709,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f325,f29]) ).
fof(f710,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_2,X0,e_3)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f325,f29]) ).
fof(f711,plain,
( ~ sQ10_spl
| ~ sQ42_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f322,f182]) ).
fof(f712,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f54]) ).
fof(f713,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f322,f52]) ).
fof(f714,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f322,f50]) ).
fof(f715,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f56]) ).
fof(f716,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f322,f31]) ).
fof(f717,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f29]) ).
fof(f718,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f322,f29]) ).
fof(f719,plain,
( ~ sQ10_spl
| ~ sQ42_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f711,f92,f321,f105]) ).
fof(f720,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f319,f54]) ).
fof(f721,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f319,f52]) ).
fof(f722,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f319,f50]) ).
fof(f723,plain,
! [X0] :
( ~ sQ41_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f319,f56]) ).
fof(f724,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(e_2,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f319,f31]) ).
fof(f726,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(X0,e_2,e_3)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f319,f29]) ).
fof(f727,plain,
( ~ sQ41_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f319,f29]) ).
fof(f728,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(e_2,X0,e_3)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f319,f29]) ).
fof(f729,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f316,f54]) ).
fof(f730,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f316,f52]) ).
fof(f731,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f316,f50]) ).
fof(f732,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f316,f56]) ).
fof(f733,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f316,f31]) ).
fof(f734,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f316,f29]) ).
fof(f735,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(e_2,X0,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f316,f29]) ).
fof(f736,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)],[f67,f35]) ).
fof(f737,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)],[f67,f34]) ).
fof(f738,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)],[f67,f33]) ).
fof(f739,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)],[f67,f32]) ).
fof(f740,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f736,f108,f268,f324,f380]) ).
fof(f741,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f737,f105,f265,f321,f377]) ).
fof(f742,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f738,f102,f262,f318,f374]) ).
fof(f743,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f739,f99,f259,f315,f371]) ).
fof(f744,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f68,f35]) ).
fof(f745,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)],[f68,f34]) ).
fof(f746,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)],[f68,f33]) ).
fof(f747,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)],[f68,f32]) ).
fof(f748,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f744,f121,f281,f337,f393]) ).
fof(f749,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f745,f118,f278,f334,f390]) ).
fof(f750,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f746,f115,f275,f331,f387]) ).
fof(f751,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f747,f112,f272,f328,f384]) ).
fof(f762,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f532,f470]) ).
fof(f763,plain,
( ~ sQ28_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f532,f273]) ).
fof(f766,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f640,f567]) ).
fof(f771,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f208,f338]) ).
fof(f772,plain,
( ~ sQ31_spl
| ~ sQ7_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f208,f282]) ).
fof(f773,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f771,f54]) ).
fof(f774,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f771,f52]) ).
fof(f775,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f771,f50]) ).
fof(f776,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f771,f56]) ).
fof(f777,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f771,f31]) ).
fof(f778,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f771,f29]) ).
fof(f779,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| ~ product(e_3,X0,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f771,f29]) ).
fof(f780,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f773,f771]) ).
fof(f781,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| ~ sQ39_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f312,f773]) ).
fof(f782,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f312,f54]) ).
fof(f783,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f312,f52]) ).
fof(f784,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f312,f50]) ).
fof(f785,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f312,f56]) ).
fof(f786,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f312,f31]) ).
fof(f787,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f312,f29]) ).
fof(f788,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_3,X0,e_3)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f312,f29]) ).
fof(f789,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f45]) ).
fof(f790,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f789]) ).
fof(f791,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f309,f54]) ).
fof(f792,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f309,f52]) ).
fof(f793,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f309,f50]) ).
fof(f800,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f306,f54]) ).
fof(f801,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f306,f52]) ).
fof(f802,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f306,f50]) ).
fof(f803,plain,
! [X0] :
( ~ sQ37_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f306,f56]) ).
fof(f804,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_2,e_3,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f306,f31]) ).
fof(f805,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(X0,e_2,e_3)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f306,f29]) ).
fof(f806,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_3,X0,e_3)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f306,f29]) ).
fof(f807,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f303,f54]) ).
fof(f808,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f303,f52]) ).
fof(f809,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f303,f50]) ).
fof(f810,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f303,f56]) ).
fof(f811,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f303,f31]) ).
fof(f812,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f303,f29]) ).
fof(f813,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(e_3,X0,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f303,f29]) ).
fof(f814,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f296,f54]) ).
fof(f815,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f296,f52]) ).
fof(f816,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f296,f50]) ).
fof(f817,plain,
! [X0] :
( ~ sQ34_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f296,f56]) ).
fof(f818,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f296,f31]) ).
fof(f819,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f296,f29]) ).
fof(f820,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_4,X0,e_3)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f296,f29]) ).
fof(f821,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f293,f54]) ).
fof(f822,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f293,f52]) ).
fof(f823,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f293,f50]) ).
fof(f824,plain,
! [X0] :
( ~ sQ33_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f293,f56]) ).
fof(f825,plain,
! [X0] :
( ~ sQ33_spl
| ~ product(e_2,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f293,f31]) ).
fof(f826,plain,
! [X0] :
( ~ sQ33_spl
| ~ product(X0,e_2,e_3)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f293,f29]) ).
fof(f827,plain,
! [X0] :
( ~ sQ33_spl
| ~ product(e_4,X0,e_3)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f293,f29]) ).
fof(f828,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f290,f54]) ).
fof(f829,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f290,f52]) ).
fof(f830,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f290,f50]) ).
fof(f831,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f290,f56]) ).
fof(f832,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f290,f31]) ).
fof(f833,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f290,f29]) ).
fof(f834,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_4,X0,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f290,f29]) ).
fof(f835,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f385,f54]) ).
fof(f836,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f385,f52]) ).
fof(f837,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f385,f50]) ).
fof(f838,plain,
! [X0] :
( ~ sQ60_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f385,f56]) ).
fof(f839,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f385,f31]) ).
fof(f840,plain,
( ~ sQ60_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f385,f29]) ).
fof(f841,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f385,f29]) ).
fof(f843,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(e_1,X0,e_4)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f385,f29]) ).
fof(f844,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f372,f54]) ).
fof(f845,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f372,f52]) ).
fof(f846,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f372,f50]) ).
fof(f847,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f372,f56]) ).
fof(f848,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f372,f31]) ).
fof(f849,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f372,f29]) ).
fof(f850,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_2,X0,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f372,f29]) ).
fof(f851,plain,
( ~ sQ7_spl
| ~ sQ52_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f359,f207]) ).
fof(f852,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f359,f54]) ).
fof(f853,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f359,f52]) ).
fof(f854,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f359,f50]) ).
fof(f855,plain,
! [X0] :
( ~ sQ52_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f359,f56]) ).
fof(f856,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f359,f31]) ).
fof(f857,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f359,f29]) ).
fof(f858,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(e_3,X0,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f359,f29]) ).
fof(f859,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f355,f54]) ).
fof(f860,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f355,f52]) ).
fof(f861,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f355,f50]) ).
fof(f868,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f352,f54]) ).
fof(f869,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f352,f52]) ).
fof(f870,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f352,f50]) ).
fof(f871,plain,
! [X0] :
( ~ sQ50_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f352,f56]) ).
fof(f872,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f352,f31]) ).
fof(f873,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f352,f29]) ).
fof(f874,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_4,X0,e_4)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f352,f29]) ).
fof(f875,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f840,f54]) ).
fof(f876,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f840,f52]) ).
fof(f877,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f840,f50]) ).
fof(f884,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f225,f247]) ).
fof(f885,plain,
( ~ sQ23_spl
| ~ sQ5_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f225,f256]) ).
fof(f886,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f225,f250]) ).
fof(f887,plain,
( ~ sQ21_spl
| ~ sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f886,f102,f89,f249]) ).
fof(f889,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f851,f54]) ).
fof(f890,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f851,f52]) ).
fof(f891,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f851,f50]) ).
fof(f892,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ52_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f851,f56]) ).
fof(f893,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ52_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f851,f31]) ).
fof(f894,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ52_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f851,f29]) ).
fof(f895,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ52_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f851,f29]) ).
fof(f896,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f875,f840]) ).
fof(f898,plain,
( ~ sQ7_spl
| ~ sQ52_spl
| ~ sQ60_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f876,f851]) ).
fof(f899,plain,
( ~ sQ7_spl
| ~ sQ52_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f898,f45]) ).
fof(f900,plain,
( ~ sQ7_spl
| ~ sQ52_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f899]) ).
fof(f901,plain,
( ~ sQ43_spl
| ~ sQ31_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f444,f325]) ).
fof(f902,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f444,f269]) ).
fof(f903,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f902,f275,f281,f268]) ).
fof(f904,plain,
( ~ sQ45_spl
| ~ sQ30_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f451,f332]) ).
fof(f905,plain,
( ~ sQ26_spl
| ~ sQ30_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f452,f266]) ).
fof(f906,plain,
( ~ sQ26_spl
| ~ sQ30_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f905,f275,f278,f265]) ).
fof(f907,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f39]) ).
fof(f908,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f907]) ).
fof(f909,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f349,f54]) ).
fof(f910,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f349,f52]) ).
fof(f911,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f349,f50]) ).
fof(f912,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f349,f56]) ).
fof(f913,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f349,f31]) ).
fof(f914,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f349,f29]) ).
fof(f915,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_4,X0,e_4)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f349,f29]) ).
fof(f916,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f346,f54]) ).
fof(f917,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f346,f52]) ).
fof(f918,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f346,f50]) ).
fof(f919,plain,
! [X0] :
( ~ sQ48_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f346,f56]) ).
fof(f920,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f346,f31]) ).
fof(f921,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f346,f29]) ).
fof(f922,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(e_4,X0,e_4)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f346,f29]) ).
fof(f923,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f80,f210]) ).
fof(f924,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f80,f209]) ).
fof(f925,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f80,f54]) ).
fof(f926,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f80,f52]) ).
fof(f927,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f80,f50]) ).
fof(f928,plain,
! [X0] :
( ~ sQ2_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f80,f56]) ).
fof(f929,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f80,f31]) ).
fof(f930,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f80,f29]) ).
fof(f931,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(e_4,X0,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f80,f29]) ).
fof(f932,plain,
( ~ sQ7_spl
| ~ sQ1_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f77,f209]) ).
fof(f933,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f54]) ).
fof(f934,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f77,f52]) ).
fof(f935,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f77,f50]) ).
fof(f936,plain,
! [X0] :
( ~ sQ1_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f77,f56]) ).
fof(f937,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f77,f31]) ).
fof(f938,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(X0,e_2,e_1)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f77,f29]) ).
fof(f939,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_4,X0,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f77,f29]) ).
fof(f949,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f74,f209]) ).
fof(f950,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f54]) ).
fof(f951,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f74,f52]) ).
fof(f952,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f74,f50]) ).
fof(f953,plain,
! [X0] :
( ~ sQ0_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f56]) ).
fof(f954,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f74,f31]) ).
fof(f955,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f956,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f957,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f87,f54]) ).
fof(f958,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f87,f52]) ).
fof(f959,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f87,f50]) ).
fof(f960,plain,
! [X0] :
( ~ sQ4_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f87,f56]) ).
fof(f961,plain,
! [X0] :
( ~ sQ4_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f87,f31]) ).
fof(f962,plain,
! [X0] :
( ~ sQ4_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f87,f29]) ).
fof(f963,plain,
! [X0] :
( ~ sQ4_spl
| ~ product(e_3,X0,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f87,f29]) ).
fof(f964,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f54]) ).
fof(f965,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f100,f52]) ).
fof(f966,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f100,f50]) ).
fof(f967,plain,
! [X0] :
( ~ sQ8_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f56]) ).
fof(f968,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f100,f31]) ).
fof(f969,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f29]) ).
fof(f970,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f100,f29]) ).
fof(f971,plain,
( ~ sQ7_spl
| ~ sQ53_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f362,f207]) ).
fof(f972,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f362,f54]) ).
fof(f973,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f362,f52]) ).
fof(f974,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f362,f50]) ).
fof(f975,plain,
! [X0] :
( ~ sQ53_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f362,f56]) ).
fof(f976,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f362,f31]) ).
fof(f977,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f362,f29]) ).
fof(f978,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_3,X0,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f362,f29]) ).
fof(f979,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f904,f54]) ).
fof(f980,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f904,f52]) ).
fof(f981,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f904,f50]) ).
fof(f982,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f904,f56]) ).
fof(f983,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| ~ product(e_2,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f904,f31]) ).
fof(f984,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f904,f29]) ).
fof(f985,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f904,f29]) ).
fof(f986,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f923,f54]) ).
fof(f987,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f923,f52]) ).
fof(f988,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f923,f50]) ).
fof(f989,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f56]) ).
fof(f990,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f923,f31]) ).
fof(f991,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f992,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f993,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f994,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_4,X0,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f996,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f924,f54]) ).
fof(f997,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f924,f52]) ).
fof(f998,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f924,f50]) ).
fof(f999,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f924,f56]) ).
fof(f1000,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f924,f31]) ).
fof(f1001,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f924,f29]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f924,f29]) ).
fof(f1003,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f924,f29]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_3,X0,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f924,f29]) ).
fof(f1005,plain,
( ~ sQ8_spl
| ~ sQ24_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f551,f100]) ).
fof(f1006,plain,
( ~ sQ8_spl
| ~ sQ24_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f1005,f272,f259,f99]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f949,f54]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f949,f52]) ).
fof(f1010,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f949,f50]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f949,f56]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f949,f31]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f949,f29]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ product(e_3,X0,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f949,f29]) ).
fof(f1015,plain,
( ~ sQ20_spl
| ~ sQ45_spl
| ~ sQ30_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f979,f247]) ).
fof(f1016,plain,
( ~ sQ23_spl
| ~ sQ45_spl
| ~ sQ30_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f979,f256]) ).
fof(f1017,plain,
( ~ sQ45_spl
| ~ sQ30_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f979,f904]) ).
fof(f1018,plain,
( ~ sQ20_spl
| ~ sQ45_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1015,f36]) ).
fof(f1019,plain,
( ~ sQ20_spl
| ~ sQ45_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( ~ sQ31_spl
| ~ sQ11_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f546,f259,f108,f281]) ).
fof(f1021,plain,
( ~ sQ43_spl
| ~ sQ31_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f901,f331,f281,f324]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f664,f54]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f664,f52]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f664,f50]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ10_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f664,f56]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ10_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f664,f31]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ10_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f664,f29]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ10_spl
| ~ product(e_2,X0,e_2)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f664,f29]) ).
fof(f1029,plain,
( ~ sQ32_spl
| ~ sQ7_spl
| ~ sQ2_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f986,f290]) ).
fof(f1030,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f986,f923]) ).
fof(f1031,plain,
( ~ sQ33_spl
| ~ sQ7_spl
| ~ sQ2_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f986,f293]) ).
fof(f1032,plain,
( ~ sQ34_spl
| ~ sQ7_spl
| ~ sQ2_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f986,f296]) ).
fof(f1033,plain,
( ~ sQ32_spl
| ~ sQ7_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f38]) ).
fof(f1034,plain,
( ~ sQ32_spl
| ~ sQ7_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1033]) ).
fof(f1035,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1008,f949]) ).
fof(f1036,plain,
( ~ sQ53_spl
| ~ sQ7_spl
| ~ sQ0_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1008,f362]) ).
fof(f1037,plain,
( ~ sQ53_spl
| ~ sQ7_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f39]) ).
fof(f1038,plain,
( ~ sQ53_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1039,plain,
( ~ sQ53_spl
| ~ sQ23_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f558,f362]) ).
fof(f1040,plain,
( ~ sQ23_spl
| ~ sQ54_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f365,f558]) ).
fof(f1041,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f365,f207]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f365,f54]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f365,f52]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f365,f50]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f56]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f365,f31]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f29]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_3,X0,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f365,f29]) ).
fof(f1051,plain,
( ~ sQ7_spl
| ~ sQ54_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1041,f79,f364,f95]) ).
fof(f1052,plain,
( ~ sQ23_spl
| ~ sQ55_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f368,f558]) ).
fof(f1053,plain,
( ~ sQ7_spl
| ~ sQ55_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f368,f207]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f54]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f368,f52]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f368,f50]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f56]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f368,f31]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(X0,e_4,e_4)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f29]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_3,X0,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f368,f29]) ).
fof(f1061,plain,
( ~ sQ7_spl
| ~ sQ55_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1053,f82,f367,f95]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f375,f54]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f375,f52]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f375,f50]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f375,f56]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f375,f31]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f375,f29]) ).
fof(f1069,plain,
( ~ sQ57_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f375,f29]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_2,X0,e_4)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f375,f29]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f378,f54]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f378,f52]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f378,f50]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ58_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f378,f56]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f378,f31]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f378,f29]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_2,X0,e_4)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f378,f29]) ).
fof(f1078,plain,
( ~ sQ23_spl
| ~ sQ59_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f381,f559]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f381,f54]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f381,f52]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f381,f50]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f381,f56]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f381,f31]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(X0,e_4,e_4)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f381,f29]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_2,X0,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f381,f29]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f388,f54]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f388,f52]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f388,f50]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ61_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f388,f56]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f388,f31]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f388,f29]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_1,X0,e_4)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f388,f29]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f391,f54]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f391,f52]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f50]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f56]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f31]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,X0,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f1100,plain,
( ~ sQ7_spl
| ~ sQ63_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f394,f208]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f54]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f394,f52]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f394,f50]) ).
fof(f1104,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f56]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f394,f31]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_4,e_4)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f29]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,X0,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f394,f29]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1052,f54]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1052,f52]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1052,f50]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1052,f56]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1052,f31]) ).
fof(f1113,plain,
( ~ sQ23_spl
| ~ sQ55_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1052,f29]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1052,f29]) ).
fof(f1115,plain,
( ~ sQ23_spl
| ~ sQ55_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1052,f29]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| ~ product(e_4,X0,e_2)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1052,f29]) ).
fof(f1117,plain,
( ~ sQ23_spl
| ~ sQ7_spl
| ~ sQ63_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1100,f558]) ).
fof(f1118,plain,
( ~ sQ7_spl
| ~ sQ63_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1100,f207]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1100,f54]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1100,f52]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1100,f50]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ63_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1100,f56]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ63_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1100,f31]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ63_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1100,f29]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ63_spl
| ~ product(e_3,X0,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1100,f29]) ).
fof(f1126,plain,
( ~ sQ7_spl
| ~ sQ63_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1118,f73,f393,f95]) ).
fof(f1127,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f560,f234]) ).
fof(f1129,plain,
( ~ sQ17_spl
| ~ sQ23_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f560,f237]) ).
fof(f1130,plain,
( ~ sQ18_spl
| ~ sQ23_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f560,f240]) ).
fof(f1131,plain,
( ~ sQ18_spl
| ~ sQ23_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1130,f364,f255,f239]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f932,f54]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f932,f52]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f932,f50]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f932,f56]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f932,f31]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f932,f29]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(e_3,X0,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f932,f29]) ).
fof(f1141,plain,
( ~ sQ51_spl
| ~ sQ19_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f654,f355]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f772,f54]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f772,f52]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ7_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f772,f50]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ7_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f772,f56]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ7_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f772,f31]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ7_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f772,f29]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ7_spl
| ~ product(e_3,X0,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f772,f29]) ).
fof(f1157,plain,
( ~ sQ30_spl
| ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1022,f664]) ).
fof(f1158,plain,
( ~ sQ25_spl
| ~ sQ30_spl
| ~ sQ10_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1022,f263]) ).
fof(f1159,plain,
( ~ sQ25_spl
| ~ sQ30_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f39]) ).
fof(f1160,plain,
( ~ sQ25_spl
| ~ sQ30_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1159]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1078,f54]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1078,f52]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1078,f50]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ59_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1078,f56]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ59_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1078,f31]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ59_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1078,f29]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ59_spl
| ~ product(e_3,X0,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1078,f29]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ17_spl
| product(X0,e_3,e_2)
| product(X0,e_2,e_2)
| product(X0,e_1,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f63,f604]) ).
fof(f1169,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f604,f234]) ).
fof(f1170,plain,
( ~ sQ17_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f604,f237]) ).
fof(f1171,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1169,f259,f236,f233]) ).
fof(f1172,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f668,f77]) ).
fof(f1173,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1172,f275,f233,f76]) ).
fof(f1174,plain,
( ~ sQ23_spl
| ~ sQ5_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f885,f108,f89,f255]) ).
fof(f1175,plain,
( ~ sQ13_spl
| ~ sQ30_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f447,f105,f278,f115]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f299,f54]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f299,f52]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f299,f50]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f299,f56]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f299,f31]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f299,f29]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_4,X0,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f299,f29]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f338,f54]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f338,f52]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f338,f50]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f247,f54]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f247,f52]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f50]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f56]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f31]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f29]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_3,X0,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f247,f29]) ).
fof(f1214,plain,
( ~ sQ17_spl
| 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)],[f1168,f35]) ).
fof(f1215,plain,
( ~ sQ17_spl
| 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)],[f1168,f34]) ).
fof(f1216,plain,
( ~ sQ17_spl
| 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)],[f1168,f33]) ).
fof(f1217,plain,
( ~ sQ17_spl
| 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)],[f1168,f32]) ).
fof(f1218,plain,
( ~ sQ17_spl
| sQ23_spl
| sQ27_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1214,f281,f268,f255,f236]) ).
fof(f1219,plain,
( ~ sQ17_spl
| sQ22_spl
| sQ26_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1215,f278,f265,f252,f236]) ).
fof(f1220,plain,
( ~ sQ17_spl
| sQ21_spl
| sQ25_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1216,f275,f262,f249,f236]) ).
fof(f1221,plain,
( ~ sQ17_spl
| sQ20_spl
| sQ24_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f1217,f272,f259,f246,f236]) ).
fof(f1222,plain,
( ~ sQ57_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1069,f262,f374]) ).
fof(f1224,plain,
( ~ sQ41_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f727,f262,f318]) ).
fof(f1226,plain,
( ~ sQ31_spl
| ~ sQ7_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f772,f246,f95,f281]) ).
fof(f1227,plain,
( ~ sQ23_spl
| ~ sQ45_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1016,f46]) ).
fof(f1228,plain,
( ~ sQ23_spl
| ~ sQ45_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( ~ sQ53_spl
| ~ sQ23_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1039,f236,f255,f361]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f649,f54]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f649,f52]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f649,f50]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f649,f56]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f649,f31]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f649,f29]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| ~ product(e_3,X0,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f649,f29]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1170,f54]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1170,f52]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1170,f50]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ41_spl
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f67,f723]) ).
fof(f1278,plain,
( ~ sQ41_spl
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1276,f35]) ).
fof(f1279,plain,
( ~ sQ41_spl
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1276,f34]) ).
fof(f1281,plain,
( ~ sQ41_spl
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1276,f32]) ).
fof(f1282,plain,
( ~ sQ41_spl
| sQ59_spl
| sQ43_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1278,f108,f324,f380,f318]) ).
fof(f1283,plain,
( ~ sQ41_spl
| sQ58_spl
| sQ42_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1279,f105,f321,f377,f318]) ).
fof(f1285,plain,
( ~ sQ41_spl
| sQ56_spl
| sQ40_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1281,f99,f315,f371,f318]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f240,f54]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f240,f52]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f240,f50]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ18_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f240,f56]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f240,f31]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f240,f29]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_4,X0,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f240,f29]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f260,f54]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f52]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f50]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f260,f56]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f31]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f260,f29]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_2,X0,e_2)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f29]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f290,f54]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f290,f52]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f290,f50]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f290,f56]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f290,f31]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f290,f29]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_4,X0,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f290,f29]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f54]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f77,f52]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f77,f50]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ1_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f77,f56]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f77,f31]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(X0,e_2,e_1)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f77,f29]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_4,X0,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f77,f29]) ).
fof(f1322,plain,
( ~ sQ22_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f253,f642]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f253,f54]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f253,f52]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f253,f50]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ22_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f253,f56]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f253,f31]) ).
fof(f1328,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f253,f29]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f253,f29]) ).
fof(f1330,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f253,f29]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_3,X0,e_2)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f253,f29]) ).
fof(f1332,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1322,f40]) ).
fof(f1333,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1332]) ).
fof(f1334,plain,
( ~ sQ7_spl
| ~ sQ52_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f851,f73,f358,f95]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f932,f54]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f932,f52]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f932,f50]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f932,f56]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f932,f31]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f932,f29]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(e_3,X0,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f932,f29]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f771,f54]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f771,f52]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f771,f50]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f771,f56]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f771,f31]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f771,f29]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| ~ product(e_3,X0,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f771,f29]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f203,f54]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f203,f52]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f203,f50]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ7_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f203,f56]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ7_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f203,f31]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ7_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f203,f29]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ7_spl
| ~ product(e_1,X0,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f203,f29]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f949,f54]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f949,f52]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f949,f50]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f949,f56]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f949,f31]) ).
fof(f1369,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f949,f29]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ product(e_3,X0,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f949,f29]) ).
fof(f1371,plain,
( ~ sQ24_spl
| ~ sQ17_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1253,f260]) ).
fof(f1372,plain,
( ~ sQ17_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1253,f1170]) ).
fof(f1373,plain,
( ~ sQ24_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1371,f36]) ).
fof(f1374,plain,
( ~ sQ24_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1373]) ).
fof(f1375,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f774,f771]) ).
fof(f1376,plain,
( ~ sQ40_spl
| ~ sQ47_spl
| ~ sQ7_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f774,f316]) ).
fof(f1377,plain,
( ~ sQ40_spl
| ~ sQ47_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f40]) ).
fof(f1378,plain,
( ~ sQ40_spl
| ~ sQ47_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1379,plain,
( ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ33_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f825,f932]) ).
fof(f1380,plain,
( ~ sQ7_spl
| ~ sQ1_spl
| ~ sQ33_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1379,f351,f292,f76,f95]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f109,f54]) ).
fof(f1391,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f109,f52]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f109,f50]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ11_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f109,f56]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f54]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f96,f52]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f96,f50]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ7_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f96,f56]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f96,f31]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(X0,e_4,e_1)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f96,f29]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_3,X0,e_1)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f96,f29]) ).
fof(f1419,plain,
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f904,f825]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f904,f54]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f904,f52]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f904,f50]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f904,f56]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| ~ product(e_2,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f904,f31]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f904,f29]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f904,f29]) ).
fof(f1427,plain,
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1419,f824]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1419,f54]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1419,f52]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1419,f50]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1419,f56]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1419,f31]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1419,f29]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| ~ product(e_4,X0,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1419,f29]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1427,f54]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1427,f52]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1427,f50]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1427,f56]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1427,f31]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1427,f29]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ45_spl
| ~ sQ30_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1427,f29]) ).
fof(f1443,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1133,f949]) ).
fof(f1444,plain,
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1133,f932]) ).
fof(f1445,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1443,f36]) ).
fof(f1446,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1445]) ).
fof(f1447,plain,
( ~ sQ33_spl
| ~ sQ7_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1031,f41]) ).
fof(f1448,plain,
( ~ sQ33_spl
| ~ sQ7_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1447]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f923,f54]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f923,f52]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f923,f50]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f56]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f923,f31]) ).
fof(f1454,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f1456,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_4,X0,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f1458,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f847,f109]) ).
fof(f1459,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1458,f393,f371,f108]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ4_spl
| product(X0,e_4,e_1)
| product(X0,e_2,e_1)
| product(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f64,f960]) ).
fof(f1461,plain,
( ~ sQ4_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f960,f87]) ).
fof(f1462,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f960,f96]) ).
fof(f1463,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1462,f121,f86,f95]) ).
fof(f1464,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f884,f99,f89,f246]) ).
fof(f1465,plain,
( ~ sQ10_spl
| ~ sQ43_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f703,f95,f324,f105]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f299,f54]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f299,f52]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f299,f50]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f299,f56]) ).
fof(f1470,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f299,f31]) ).
fof(f1472,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f299,f29]) ).
fof(f1473,plain,
( ~ sQ35_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f299,f29]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_4,X0,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f299,f29]) ).
fof(f1475,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f269,f54]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f269,f52]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f269,f50]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f269,f56]) ).
fof(f1479,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f269,f31]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f269,f29]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_2,X0,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f269,f29]) ).
fof(f1482,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f240,f54]) ).
fof(f1483,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f240,f52]) ).
fof(f1484,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f240,f50]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ18_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f240,f56]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f240,f31]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f240,f29]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_4,X0,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f240,f29]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f365,f54]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f365,f52]) ).
fof(f1498,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f365,f50]) ).
fof(f1499,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f56]) ).
fof(f1500,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f365,f31]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f29]) ).
fof(f1503,plain,
( ~ sQ54_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f29]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_3,X0,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f365,f29]) ).
fof(f1513,plain,
( ~ sQ4_spl
| product(e_4,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1460,f35]) ).
fof(f1514,plain,
( ~ sQ4_spl
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f1460,f34]) ).
fof(f1515,plain,
( ~ sQ4_spl
| product(e_2,e_4,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f1460,f33]) ).
fof(f1516,plain,
( ~ sQ4_spl
| product(e_1,e_4,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f1460,f32]) ).
fof(f1517,plain,
( ~ sQ4_spl
| sQ3_spl
| sQ11_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1513,f121,f108,f82,f86]) ).
fof(f1518,plain,
( ~ sQ4_spl
| sQ2_spl
| sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f1514,f118,f105,f79,f86]) ).
fof(f1519,plain,
( ~ sQ4_spl
| sQ1_spl
| sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1515,f115,f102,f76,f86]) ).
fof(f1520,plain,
( ~ sQ4_spl
| sQ0_spl
| sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1516,f112,f99,f73,f86]) ).
fof(f1532,plain,
( ~ sQ35_spl
| ~ sQ3_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f523,f299]) ).
fof(f1533,plain,
( ~ sQ35_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1532,f44]) ).
fof(f1534,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1536,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f963,f80]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1536,f54]) ).
fof(f1538,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1536,f52]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1536,f50]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1536,f56]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1536,f31]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1536,f29]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| ~ product(e_4,X0,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1536,f29]) ).
fof(f1544,plain,
( ~ sQ2_spl
| ~ sQ58_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1075,f80]) ).
fof(f1545,plain,
( ~ sQ18_spl
| ~ sQ58_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f1075,f240]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f391,f54]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f391,f52]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f50]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f56]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f31]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,X0,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f54]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f276,f52]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f276,f50]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ29_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f56]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_2,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f276,f31]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f29]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_1,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f276,f29]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f54]) ).
fof(f1561,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f394,f52]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f394,f50]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f56]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f394,f31]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_4,e_4)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f29]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,X0,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f394,f29]) ).
fof(f1567,plain,
( ~ sQ58_spl
| ~ sQ50_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f352,f1075]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f352,f54]) ).
fof(f1569,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f352,f52]) ).
fof(f1570,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f352,f50]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ50_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f352,f56]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f352,f31]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f352,f29]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_4,X0,e_4)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f352,f29]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f266,f54]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f52]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f266,f50]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f266,f56]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f266,f31]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f266,f29]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_2,X0,e_2)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f29]) ).
fof(f1582,plain,
( ~ sQ58_spl
| ~ sQ40_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f316,f1074]) ).
fof(f1583,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f316,f54]) ).
fof(f1584,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f316,f52]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f316,f50]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f316,f56]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f316,f31]) ).
fof(f1588,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f316,f29]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(e_2,X0,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f316,f29]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f372,f54]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f372,f52]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f372,f50]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f372,f56]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f372,f31]) ).
fof(f1595,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f372,f29]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_2,X0,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f372,f29]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f54]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f74,f52]) ).
fof(f1599,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f74,f50]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ0_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f56]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f74,f31]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f312,f54]) ).
fof(f1605,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f312,f52]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f312,f50]) ).
fof(f1607,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f312,f56]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f312,f31]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f312,f29]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_3,X0,e_3)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f312,f29]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1544,f54]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ58_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1544,f52]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ58_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1544,f50]) ).
fof(f1614,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ58_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1544,f56]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ58_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1544,f31]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ58_spl
| ~ product(X0,e_4,e_1)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1544,f29]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ58_spl
| ~ product(e_2,X0,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1544,f29]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1582,f54]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1582,f52]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ40_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1582,f50]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ40_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1582,f56]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ40_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1582,f31]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ40_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1582,f29]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ40_spl
| ~ product(e_3,X0,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1582,f29]) ).
fof(f1625,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1537,f1536]) ).
fof(f1626,plain,
( ~ sQ35_spl
| ~ sQ2_spl
| ~ sQ4_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1537,f299]) ).
fof(f1627,plain,
( ~ sQ35_spl
| ~ sQ2_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1626,f45]) ).
fof(f1628,plain,
( ~ sQ35_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1627]) ).
fof(f1630,plain,
( ~ sQ54_spl
| ~ sQ58_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1076,f365]) ).
fof(f1631,plain,
( ~ sQ54_spl
| ~ sQ58_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1630,f321,f377,f364]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_4,e_4)
| product(X0,e_3,e_4)
| product(X0,e_1,e_4)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f61,f1082]) ).
fof(f1633,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f1082,f372]) ).
fof(f1634,plain,
( ~ sQ59_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1082,f381]) ).
fof(f1635,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f1633,f345,f380,f371]) ).
fof(f1636,plain,
( ~ sQ29_spl
| ~ sQ61_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1089,f276]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1636,f54]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1636,f52]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1636,f50]) ).
fof(f1640,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f56]) ).
fof(f1641,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1636,f31]) ).
fof(f1642,plain,
( ~ sQ29_spl
| ~ sQ61_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f1644,plain,
( ~ sQ29_spl
| ~ sQ61_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| ~ product(e_2,X0,e_4)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f1646,plain,
( ~ sQ56_spl
| ~ sQ29_spl
| ~ sQ61_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1637,f372]) ).
fof(f1647,plain,
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1637,f1636]) ).
fof(f1648,plain,
( ~ sQ56_spl
| ~ sQ29_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1646,f36]) ).
fof(f1649,plain,
( ~ sQ56_spl
| ~ sQ29_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1648]) ).
fof(f1650,plain,
( ~ sQ0_spl
| ~ sQ60_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f876,f74]) ).
fof(f1652,plain,
( ~ sQ4_spl
| ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f876,f87]) ).
fof(f1653,plain,
( ~ sQ0_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1650,f45]) ).
fof(f1654,plain,
( ~ sQ0_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1653]) ).
fof(f1655,plain,
( ~ sQ4_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1652,f42]) ).
fof(f1656,plain,
( ~ sQ4_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1655]) ).
fof(f1657,plain,
( ~ sQ18_spl
| ~ sQ1_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f936,f240]) ).
fof(f1658,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f937,f276]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f106,f54]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f50]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ10_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f106,f56]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f31]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_2,X0,e_1)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f1667,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f375,f54]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f375,f52]) ).
fof(f1669,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f375,f50]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f375,f56]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f375,f31]) ).
fof(f1672,plain,
( ~ sQ57_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f375,f29]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f375,f29]) ).
fof(f1674,plain,
( ~ sQ57_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f375,f29]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_2,X0,e_4)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f375,f29]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f250,f54]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f250,f52]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f250,f50]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f250,f56]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_2,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f250,f31]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f250,f29]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f250,f29]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f109,f54]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f109,f52]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f109,f50]) ).
fof(f1698,plain,
( ~ sQ1_spl
| ~ sQ29_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1658,f936]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ1_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1658,f54]) ).
fof(f1700,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1658,f52]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1658,f50]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ1_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1658,f56]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ1_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1658,f31]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ1_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1658,f29]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ1_spl
| ~ product(e_4,X0,e_2)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1658,f29]) ).
fof(f1706,plain,
( ~ sQ1_spl
| ~ sQ29_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1698,f99,f275,f76]) ).
fof(f1707,plain,
( ~ sQ11_spl
| ~ sQ1_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f938,f109]) ).
fof(f1708,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f938,f106]) ).
fof(f1709,plain,
( ~ sQ11_spl
| ~ sQ1_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1707,f242,f76,f108]) ).
fof(f1710,plain,
( ~ sQ18_spl
| ~ sQ1_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1657,f105,f76,f239]) ).
fof(f1711,plain,
( ~ sQ2_spl
| ~ sQ58_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1544,f108,f377,f79]) ).
fof(f1712,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f439,f939]) ).
fof(f1713,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f439,f938]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f439,f54]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f439,f52]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f439,f50]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f439,f56]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f439,f31]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ product(X0,e_4,e_1)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f439,f29]) ).
fof(f1720,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ product(e_2,X0,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f439,f29]) ).
fof(f1722,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1713,f54]) ).
fof(f1723,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1713,f52]) ).
fof(f1724,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1713,f50]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1713,f56]) ).
fof(f1726,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1713,f31]) ).
fof(f1727,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1713,f29]) ).
fof(f1728,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1713,f29]) ).
fof(f1729,plain,
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1713,f29]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ13_spl
| ~ sQ31_spl
| ~ product(e_4,X0,e_2)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1713,f29]) ).
fof(f1735,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1714,f439]) ).
fof(f1736,plain,
( ~ sQ59_spl
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1632,f35]) ).
fof(f1737,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1632,f34]) ).
fof(f1738,plain,
( ~ sQ59_spl
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1632,f33]) ).
fof(f1739,plain,
( ~ sQ59_spl
| product(e_1,e_4,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1632,f32]) ).
fof(f1740,plain,
( ~ sQ59_spl
| sQ51_spl
| sQ55_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1736,f393,f367,f354,f380]) ).
fof(f1741,plain,
( ~ sQ59_spl
| sQ50_spl
| sQ54_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1737,f390,f364,f351,f380]) ).
fof(f1742,plain,
( ~ sQ59_spl
| sQ49_spl
| sQ53_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1738,f387,f361,f348,f380]) ).
fof(f1743,plain,
( ~ sQ59_spl
| sQ48_spl
| sQ52_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1739,f384,f358,f345,f380]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f290,f54]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f290,f52]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f290,f50]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f290,f56]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f290,f31]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f290,f29]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_4,X0,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f290,f29]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f54]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f74,f52]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f74,f50]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ0_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f56]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f74,f31]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f1758,plain,
( ~ sQ4_spl
| ~ sQ10_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f106,f963]) ).
fof(f1759,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ10_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f106,f1714]) ).
fof(f1760,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f106,f54]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f1762,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f50]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ10_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f106,f56]) ).
fof(f1764,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f31]) ).
fof(f1765,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_2,X0,e_1)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f1767,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1759,f44]) ).
fof(f1768,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1767]) ).
fof(f1769,plain,
( ~ sQ10_spl
| ~ sQ1_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1708,f239,f76,f105]) ).
fof(f1770,plain,
( ~ sQ18_spl
| ~ sQ58_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f1545,f268,f377,f239]) ).
fof(f1771,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f109,f54]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f109,f52]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f109,f50]) ).
fof(f1786,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f260,f54]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f52]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f50]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f260,f56]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f31]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f260,f29]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_2,X0,e_2)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f29]) ).
fof(f1796,plain,
( ~ sQ4_spl
| ~ sQ40_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f733,f87]) ).
fof(f1797,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f732,f109]) ).
fof(f1798,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f732,f106]) ).
fof(f1799,plain,
( ~ sQ39_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f786,f312]) ).
fof(f1807,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f332,f735]) ).
fof(f1808,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f332,f734]) ).
fof(f1809,plain,
( ~ sQ62_spl
| ~ sQ45_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f332,f1096]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f332,f54]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f332,f52]) ).
fof(f1812,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f332,f50]) ).
fof(f1813,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f332,f56]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_2,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f332,f31]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(X0,e_2,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f332,f29]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_1,X0,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f332,f29]) ).
fof(f1817,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f1807,f272,f331,f315]) ).
fof(f1818,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f1808,f102,f331,f315]) ).
fof(f1819,plain,
( ~ sQ62_spl
| ~ sQ45_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f1809,f361,f331,f390]) ).
fof(f1820,plain,
( ~ sQ4_spl
| ~ sQ40_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1796,f105,f315,f86]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f282,f54]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f282,f52]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f282,f50]) ).
fof(f1824,plain,
! [X0] :
( ~ sQ31_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f282,f56]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f282,f31]) ).
fof(f1826,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f282,f29]) ).
fof(f1827,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_1,X0,e_2)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f282,f29]) ).
fof(f1828,plain,
( ~ sQ39_spl
| ~ sQ55_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f786]) ).
fof(f1830,plain,
( ~ sQ39_spl
| ~ sQ55_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f368,f785]) ).
fof(f1831,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f54]) ).
fof(f1832,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f368,f52]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f368,f50]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f56]) ).
fof(f1835,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f368,f31]) ).
fof(f1836,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(X0,e_4,e_4)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f29]) ).
fof(f1837,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_3,X0,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f368,f29]) ).
fof(f1840,plain,
( ~ sQ39_spl
| ~ sQ52_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f359,f785]) ).
fof(f1841,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f359,f54]) ).
fof(f1842,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f359,f52]) ).
fof(f1843,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f359,f50]) ).
fof(f1848,plain,
( ~ sQ32_spl
| ~ sQ2_spl
| ~ sQ4_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1538,f290]) ).
fof(f1849,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ4_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1539,f74]) ).
fof(f1850,plain,
( ~ sQ32_spl
| ~ sQ2_spl
| ~ sQ4_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1539,f290]) ).
fof(f1851,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1849,f37]) ).
fof(f1852,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1851]) ).
fof(f1853,plain,
( ~ sQ32_spl
| ~ sQ39_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f787,f290]) ).
fof(f1855,plain,
! [X0] :
( ~ sQ39_spl
| product(e_4,X0,e_3)
| product(e_2,X0,e_3)
| product(e_1,X0,e_3)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f59,f788]) ).
fof(f1857,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f67,f1065]) ).
fof(f1858,plain,
( ~ sQ24_spl
| ~ sQ57_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1065,f260]) ).
fof(f1860,plain,
( ~ sQ24_spl
| ~ sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1858,f371,f374,f259]) ).
fof(f1861,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1611,f109]) ).
fof(f1862,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| ~ sQ58_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1612,f109]) ).
fof(f1863,plain,
( ~ sQ39_spl
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1855,f35]) ).
fof(f1865,plain,
( ~ sQ39_spl
| product(e_4,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1855,f33]) ).
fof(f1866,plain,
( ~ sQ39_spl
| product(e_4,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1855,f32]) ).
fof(f1867,plain,
( ~ sQ39_spl
| sQ35_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1863,f289,f292,f298,f311]) ).
fof(f1869,plain,
( ~ sQ39_spl
| sQ43_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1865,f315,f318,f324,f311]) ).
fof(f1870,plain,
( ~ sQ39_spl
| sQ47_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1866,f328,f331,f337,f311]) ).
fof(f1871,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_4,e_2)
| product(X0,e_2,e_2)
| product(X0,e_1,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f63,f574]) ).
fof(f1872,plain,
( ~ sQ21_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f574,f250]) ).
fof(f1873,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f54]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f77,f52]) ).
fof(f1875,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f77,f50]) ).
fof(f1876,plain,
! [X0] :
( ~ sQ1_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f77,f56]) ).
fof(f1877,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f77,f31]) ).
fof(f1878,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(X0,e_2,e_1)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f77,f29]) ).
fof(f1879,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_4,X0,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f77,f29]) ).
fof(f1880,plain,
( ~ sQ19_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f243,f656]) ).
fof(f1881,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f243,f54]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f243,f52]) ).
fof(f1883,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f243,f50]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ19_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f243,f56]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f243,f31]) ).
fof(f1886,plain,
( ~ sQ19_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f243,f29]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f243,f29]) ).
fof(f1888,plain,
( ~ sQ19_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f243,f29]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(e_4,X0,e_2)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f243,f29]) ).
fof(f1890,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1880,f41]) ).
fof(f1891,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f1890]) ).
fof(f1892,plain,
( ~ sQ23_spl
| ~ sQ55_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1052,f242,f367,f255]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f54]) ).
fof(f1894,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f322,f52]) ).
fof(f1895,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f322,f50]) ).
fof(f1896,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f56]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f322,f31]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f29]) ).
fof(f1899,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f322,f29]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1503,f54]) ).
fof(f1925,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1503,f52]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1503,f50]) ).
fof(f1933,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f221,f54]) ).
fof(f1934,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f221,f52]) ).
fof(f1935,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f221,f50]) ).
fof(f1936,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f221,f56]) ).
fof(f1937,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ product(e_2,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f221,f31]) ).
fof(f1938,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ product(X0,e_2,e_3)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f221,f29]) ).
fof(f1939,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ5_spl
| ~ product(e_1,X0,e_3)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f221,f29]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| ~ product(e_3,X0,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f649,f29]) ).
fof(f1947,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1040,f54]) ).
fof(f1948,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1040,f52]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1040,f50]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1040,f56]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1040,f31]) ).
fof(f1952,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1040,f29]) ).
fof(f1953,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| ~ product(e_4,X0,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1040,f29]) ).
fof(f1954,plain,
( ~ sQ11_spl
| ~ sQ13_spl
| ~ sQ31_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1715,f109]) ).
fof(f1955,plain,
( ~ sQ52_spl
| ~ sQ32_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f832,f359]) ).
fof(f1956,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f832,f87]) ).
fof(f1957,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ32_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f833,f221]) ).
fof(f1958,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ32_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1957,f76,f289,f89,f118]) ).
fof(f1959,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f365,f54]) ).
fof(f1960,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f365,f52]) ).
fof(f1961,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f365,f50]) ).
fof(f1962,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f56]) ).
fof(f1963,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f365,f31]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f365,f29]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_3,X0,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f365,f29]) ).
fof(f1968,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f80,f963]) ).
fof(f1969,plain,
( ~ sQ32_spl
| ~ sQ2_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f80,f831]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f306,f54]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f306,f52]) ).
fof(f1979,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f306,f50]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ37_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f306,f56]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_2,e_3,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f306,f31]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(X0,e_2,e_3)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f306,f29]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_3,X0,e_3)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f306,f29]) ).
fof(f1984,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f338,f833]) ).
fof(f1985,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f338,f54]) ).
fof(f1986,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f338,f52]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f338,f50]) ).
fof(f1992,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1984,f82,f337,f289]) ).
fof(f1993,plain,
( ~ sQ29_spl
| ~ sQ1_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1658,f233,f76,f275]) ).
fof(f2018,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1798,f54]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1798,f52]) ).
fof(f2020,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1798,f50]) ).
fof(f2021,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1798,f56]) ).
fof(f2022,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1798,f31]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1798,f29]) ).
fof(f2024,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1798,f29]) ).
fof(f2033,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1758,f54]) ).
fof(f2034,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1758,f52]) ).
fof(f2035,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1758,f50]) ).
fof(f2036,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1758,f56]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1758,f31]) ).
fof(f2038,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1758,f29]) ).
fof(f2039,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| ~ product(e_2,X0,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1758,f29]) ).
fof(f2040,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1636,f54]) ).
fof(f2041,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1636,f52]) ).
fof(f2042,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1636,f50]) ).
fof(f2043,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f56]) ).
fof(f2044,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1636,f31]) ).
fof(f2045,plain,
( ~ sQ29_spl
| ~ sQ61_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f2046,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f2047,plain,
( ~ sQ29_spl
| ~ sQ61_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f2048,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| ~ product(e_2,X0,e_4)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f2049,plain,
( ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1924,f1503]) ).
fof(f2050,plain,
( ~ sQ57_spl
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1857,f35]) ).
fof(f2051,plain,
( ~ sQ57_spl
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1857,f34]) ).
fof(f2053,plain,
( ~ sQ57_spl
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1857,f32]) ).
fof(f2054,plain,
( ~ sQ57_spl
| sQ59_spl
| sQ43_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f2050,f108,f324,f380,f374]) ).
fof(f2055,plain,
( ~ sQ57_spl
| sQ58_spl
| sQ42_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f2051,f105,f321,f377,f374]) ).
fof(f2057,plain,
( ~ sQ57_spl
| sQ56_spl
| sQ40_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2053,f99,f315,f371,f374]) ).
fof(f2058,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1968,f289,f79,f86]) ).
fof(f2068,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f346,f54]) ).
fof(f2069,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f346,f52]) ).
fof(f2070,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f346,f50]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ48_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f346,f56]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f346,f31]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f346,f29]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(e_4,X0,e_4)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f346,f29]) ).
fof(f2091,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f439,f54]) ).
fof(f2092,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f439,f52]) ).
fof(f2093,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f439,f50]) ).
fof(f2094,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f439,f56]) ).
fof(f2095,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f439,f31]) ).
fof(f2096,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ product(X0,e_4,e_1)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f439,f29]) ).
fof(f2097,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ product(e_2,X0,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f439,f29]) ).
fof(f2098,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1799,f54]) ).
fof(f2099,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1799,f52]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1799,f50]) ).
fof(f2107,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1956,f963]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1956,f54]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1956,f52]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1956,f50]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1956,f56]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1956,f31]) ).
fof(f2113,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1956,f29]) ).
fof(f2114,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(e_4,X0,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1956,f29]) ).
fof(f2115,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ48_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f919,f1956]) ).
fof(f2116,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1969,f54]) ).
fof(f2117,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1969,f52]) ).
fof(f2118,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1969,f50]) ).
fof(f2119,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1969,f56]) ).
fof(f2120,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1969,f31]) ).
fof(f2121,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1969,f29]) ).
fof(f2122,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1969,f29]) ).
fof(f2123,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1853,f54]) ).
fof(f2124,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1853,f52]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1853,f50]) ).
fof(f2126,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ39_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1853,f56]) ).
fof(f2127,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ39_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1853,f31]) ).
fof(f2128,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ39_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1853,f29]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ39_spl
| ~ product(e_3,X0,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1853,f29]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2107,f54]) ).
fof(f2131,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2107,f52]) ).
fof(f2132,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2107,f50]) ).
fof(f2133,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2107,f56]) ).
fof(f2134,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2107,f31]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2107,f29]) ).
fof(f2136,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(e_4,X0,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2107,f29]) ).
fof(f2137,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2115,f54]) ).
fof(f2138,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2115,f52]) ).
fof(f2139,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2115,f50]) ).
fof(f2140,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ48_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2115,f56]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ48_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2115,f31]) ).
fof(f2142,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ48_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2115,f29]) ).
fof(f2143,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ48_spl
| ~ product(e_1,X0,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2115,f29]) ).
fof(f2144,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1716,f439]) ).
fof(f2146,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ48_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f920,f2107]) ).
fof(f2147,plain,
( ~ sQ48_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f920,f346]) ).
fof(f2148,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ48_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f2146,f298,f345,f289,f86]) ).
fof(f2156,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f54]) ).
fof(f2157,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f322,f52]) ).
fof(f2158,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f322,f50]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f56]) ).
fof(f2160,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f322,f31]) ).
fof(f2161,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f29]) ).
fof(f2162,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f322,f29]) ).
fof(f2163,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f260,f669]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f260,f54]) ).
fof(f2165,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f52]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f50]) ).
fof(f2167,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f260,f56]) ).
fof(f2168,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f260,f31]) ).
fof(f2169,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f260,f29]) ).
fof(f2170,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_2,X0,e_2)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f29]) ).
fof(f2171,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2163,f236,f259,f233]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f372,f54]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f372,f52]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f372,f50]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f372,f56]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f372,f31]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f372,f29]) ).
fof(f2178,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_2,X0,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f372,f29]) ).
fof(f2179,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f54]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f394,f52]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f394,f50]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f56]) ).
fof(f2183,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f394,f31]) ).
fof(f2184,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_4,e_4)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f29]) ).
fof(f2185,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,X0,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f394,f29]) ).
fof(f2186,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1715,f439]) ).
fof(f2189,plain,
( ~ sQ56_spl
| ~ sQ11_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f175,f372]) ).
fof(f2190,plain,
( ~ sQ56_spl
| ~ sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2189,f73,f108,f371]) ).
fof(f2191,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1798,f54]) ).
fof(f2192,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1798,f52]) ).
fof(f2193,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1798,f50]) ).
fof(f2194,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1798,f56]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1798,f31]) ).
fof(f2196,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1798,f29]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1798,f29]) ).
fof(f2198,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1758,f54]) ).
fof(f2199,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1758,f52]) ).
fof(f2200,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1758,f50]) ).
fof(f2201,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1758,f56]) ).
fof(f2202,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1758,f31]) ).
fof(f2203,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1758,f29]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| ~ product(e_2,X0,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1758,f29]) ).
fof(f2205,plain,
( ~ sQ39_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2098,f1799]) ).
fof(f2206,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| ~ sQ39_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2099,f1798]) ).
fof(f2208,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2206,f37]) ).
fof(f2209,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2208]) ).
fof(f2210,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ56_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f848,f2107]) ).
fof(f2211,plain,
( ~ sQ63_spl
| ~ sQ56_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f849,f394]) ).
fof(f2212,plain,
( ~ sQ63_spl
| ~ sQ56_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f2211,f108,f371,f393]) ).
fof(f2213,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f362,f54]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f362,f52]) ).
fof(f2215,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f362,f50]) ).
fof(f2216,plain,
! [X0] :
( ~ sQ53_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f362,f56]) ).
fof(f2217,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f362,f31]) ).
fof(f2218,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f362,f29]) ).
fof(f2219,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_3,X0,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f362,f29]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f247,f54]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f247,f52]) ).
fof(f2222,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f50]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f56]) ).
fof(f2224,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f31]) ).
fof(f2225,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f29]) ).
fof(f2226,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_3,X0,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f247,f29]) ).
fof(f2235,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f391,f54]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f391,f52]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f50]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f56]) ).
fof(f2239,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f31]) ).
fof(f2240,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f2241,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,X0,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f2242,plain,
( ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ2_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1969,f2099]) ).
fof(f2243,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1969,f54]) ).
fof(f2244,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1969,f52]) ).
fof(f2245,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1969,f50]) ).
fof(f2246,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1969,f56]) ).
fof(f2247,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1969,f31]) ).
fof(f2248,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1969,f29]) ).
fof(f2249,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1969,f29]) ).
fof(f2250,plain,
( ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2242,f37]) ).
fof(f2251,plain,
( ~ sQ39_spl
| ~ sQ32_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2250]) ).
fof(f2252,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1955,f54]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1955,f52]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1955,f50]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ32_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1955,f56]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ32_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1955,f31]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ32_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1955,f29]) ).
fof(f2258,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ32_spl
| ~ product(e_4,X0,e_4)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1955,f29]) ).
fof(f2259,plain,
( ~ sQ20_spl
| ~ sQ53_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f975,f247]) ).
fof(f2260,plain,
( ~ sQ20_spl
| ~ sQ53_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2259,f371,f361,f246]) ).
fof(f2261,plain,
( ~ sQ23_spl
| ~ sQ59_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f1078,f361,f380,f255]) ).
fof(f2262,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f439,f54]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f439,f52]) ).
fof(f2264,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f439,f50]) ).
fof(f2265,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f439,f56]) ).
fof(f2266,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f439,f31]) ).
fof(f2267,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ product(X0,e_4,e_1)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f439,f29]) ).
fof(f2268,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| ~ product(e_2,X0,e_1)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f439,f29]) ).
fof(f2269,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2108,f1956]) ).
fof(f2270,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2109,f1956]) ).
fof(f2271,plain,
( ~ sQ52_spl
| ~ sQ32_spl
| ~ sQ4_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2110,f1955]) ).
fof(f2272,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2110,f1956]) ).
fof(f2273,plain,
( ~ sQ52_spl
| ~ sQ32_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2271,f45]) ).
fof(f2274,plain,
( ~ sQ52_spl
| ~ sQ32_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2273]) ).
fof(f2275,plain,
( ~ sQ58_spl
| ~ sQ40_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1582,f358,f315,f377]) ).
fof(f2284,plain,
( ~ sQ7_spl
| ~ sQ1_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f932,f207]) ).
fof(f2285,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f932,f54]) ).
fof(f2286,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f932,f52]) ).
fof(f2287,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f932,f50]) ).
fof(f2288,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f932,f56]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f932,f31]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f932,f29]) ).
fof(f2291,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(e_3,X0,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f932,f29]) ).
fof(f2316,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1503,f54]) ).
fof(f2317,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1503,f52]) ).
fof(f2318,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1503,f50]) ).
fof(f2325,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1636,f54]) ).
fof(f2326,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1636,f52]) ).
fof(f2327,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1636,f50]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f56]) ).
fof(f2329,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1636,f31]) ).
fof(f2330,plain,
( ~ sQ29_spl
| ~ sQ61_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f2332,plain,
( ~ sQ29_spl
| ~ sQ61_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f2333,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ61_spl
| ~ product(e_2,X0,e_4)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1636,f29]) ).
fof(f2334,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f924,f207]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f924,f54]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f924,f52]) ).
fof(f2337,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f924,f50]) ).
fof(f2338,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f924,f56]) ).
fof(f2339,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f924,f31]) ).
fof(f2340,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f924,f29]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f924,f29]) ).
fof(f2342,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f924,f29]) ).
fof(f2343,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_3,X0,e_4)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f924,f29]) ).
fof(f2344,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f923,f54]) ).
fof(f2345,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f923,f52]) ).
fof(f2346,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f923,f50]) ).
fof(f2347,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f56]) ).
fof(f2348,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f923,f31]) ).
fof(f2349,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f2350,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f2351,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f2352,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_4,X0,e_3)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f923,f29]) ).
fof(f2353,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f771,f54]) ).
fof(f2354,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f771,f52]) ).
fof(f2355,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f771,f50]) ).
fof(f2356,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f771,f56]) ).
fof(f2357,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f771,f31]) ).
fof(f2358,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f771,f29]) ).
fof(f2359,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| ~ product(e_3,X0,e_3)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f771,f29]) ).
fof(f2360,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2284,f54]) ).
fof(f2361,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2284,f52]) ).
fof(f2362,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2284,f50]) ).
fof(f2363,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2284,f56]) ).
fof(f2364,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2284,f31]) ).
fof(f2365,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(X0,e_2,e_1)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2284,f29]) ).
fof(f2366,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(e_4,X0,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2284,f29]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2334,f54]) ).
fof(f2368,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2334,f52]) ).
fof(f2369,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2334,f50]) ).
fof(f2370,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2334,f56]) ).
fof(f2371,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2334,f31]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2334,f29]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| ~ product(e_4,X0,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2334,f29]) ).
fof(f2375,plain,
( ~ sQ7_spl
| ~ sQ1_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f209,f2284]) ).
fof(f2376,plain,
( ~ sQ7_spl
| ~ sQ1_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f2375,f361,f76,f95]) ).
fof(f2377,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| ~ sQ56_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f2210,f324,f371,f289,f86]) ).
fof(f2386,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f54]) ).
fof(f2387,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f100,f52]) ).
fof(f2388,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f100,f50]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ8_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f56]) ).
fof(f2390,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f100,f31]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f29]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f100,f29]) ).
fof(f2393,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f269,f54]) ).
fof(f2394,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f269,f52]) ).
fof(f2395,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f269,f50]) ).
fof(f2396,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f269,f56]) ).
fof(f2397,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f269,f31]) ).
fof(f2398,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f269,f29]) ).
fof(f2399,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_2,X0,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f269,f29]) ).
fof(f2400,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f54]) ).
fof(f2401,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f77,f52]) ).
fof(f2402,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f77,f50]) ).
fof(f2403,plain,
! [X0] :
( ~ sQ1_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f77,f56]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_2,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f77,f31]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(X0,e_2,e_1)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f77,f29]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_4,X0,e_1)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f77,f29]) ).
fof(f2407,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f247,f54]) ).
fof(f2408,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f247,f52]) ).
fof(f2409,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f50]) ).
fof(f2410,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f56]) ).
fof(f2411,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f31]) ).
fof(f2412,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f29]) ).
fof(f2413,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_3,X0,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f247,f29]) ).
fof(f2422,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f932,f54]) ).
fof(f2423,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f932,f52]) ).
fof(f2424,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f932,f50]) ).
fof(f2425,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f932,f56]) ).
fof(f2426,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f932,f31]) ).
fof(f2427,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f932,f29]) ).
fof(f2428,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ1_spl
| ~ product(e_3,X0,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f932,f29]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ8_spl
| product(X0,e_4,e_1)
| product(X0,e_3,e_1)
| product(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f64,f199]) ).
fof(f2430,plain,
( ~ sQ8_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f199,f100]) ).
fof(f2431,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1798,f54]) ).
fof(f2432,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1798,f52]) ).
fof(f2433,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1798,f50]) ).
fof(f2434,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1798,f56]) ).
fof(f2435,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1798,f31]) ).
fof(f2436,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1798,f29]) ).
fof(f2437,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ40_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1798,f29]) ).
fof(f2438,plain,
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1134,f932]) ).
fof(f2439,plain,
( ~ sQ7_spl
| ~ sQ1_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1135,f932]) ).
fof(f2441,plain,
( ~ sQ8_spl
| product(e_4,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f2429,f35]) ).
fof(f2442,plain,
( ~ sQ8_spl
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f2429,f34]) ).
fof(f2443,plain,
( ~ sQ8_spl
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2429,f33]) ).
fof(f2444,plain,
( ~ sQ8_spl
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f2429,f32]) ).
fof(f2445,plain,
( ~ sQ8_spl
| sQ3_spl
| sQ7_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f2441,f121,f95,f82,f99]) ).
fof(f2446,plain,
( ~ sQ8_spl
| sQ2_spl
| sQ6_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f2442,f118,f92,f79,f99]) ).
fof(f2447,plain,
( ~ sQ8_spl
| sQ1_spl
| sQ5_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f2443,f115,f89,f76,f99]) ).
fof(f2448,plain,
( ~ sQ8_spl
| sQ0_spl
| sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f2444,f112,f86,f73,f99]) ).
fof(f2449,plain,
( ~ sQ14_spl
| ~ sQ7_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f203,f337,f95,f118]) ).
fof(f2467,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f106,f54]) ).
fof(f2468,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f2469,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f50]) ).
fof(f2470,plain,
! [X0] :
( ~ sQ10_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f106,f56]) ).
fof(f2471,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f31]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f2473,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_2,X0,e_1)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f2474,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f391,f54]) ).
fof(f2475,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f391,f52]) ).
fof(f2476,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f50]) ).
fof(f2477,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f56]) ).
fof(f2478,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f31]) ).
fof(f2479,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f2480,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,X0,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f2481,plain,
( ~ sQ21_spl
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f1871,f35]) ).
fof(f2482,plain,
( ~ sQ21_spl
| product(e_3,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1871,f34]) ).
fof(f2483,plain,
( ~ sQ21_spl
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1871,f33]) ).
fof(f2484,plain,
( ~ sQ21_spl
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f1871,f32]) ).
fof(f2485,plain,
( ~ sQ21_spl
| sQ19_spl
| sQ27_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f2481,f281,f268,f242,f249]) ).
fof(f2486,plain,
( ~ sQ21_spl
| sQ18_spl
| sQ26_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f2482,f278,f265,f239,f249]) ).
fof(f2487,plain,
( ~ sQ21_spl
| sQ17_spl
| sQ25_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2483,f275,f262,f236,f249]) ).
fof(f2488,plain,
( ~ sQ21_spl
| sQ16_spl
| sQ24_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f2484,f272,f259,f233,f249]) ).
fof(f2489,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f221,f331,f89,f118]) ).
fof(f2498,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1758,f54]) ).
fof(f2499,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1758,f52]) ).
fof(f2500,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1758,f50]) ).
fof(f2501,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1758,f56]) ).
fof(f2502,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1758,f31]) ).
fof(f2503,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1758,f29]) ).
fof(f2504,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ10_spl
| ~ product(e_2,X0,e_3)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1758,f29]) ).
fof(f2505,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2018,f1798]) ).
fof(f2506,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ40_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2019,f309]) ).
fof(f2507,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2019,f1798]) ).
fof(f2508,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2506,f42]) ).
fof(f2509,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2508]) ).
fof(f2510,plain,
( ~ sQ54_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1503,f308,f364]) ).
fof(f2511,plain,
( ~ sQ39_spl
| ~ sQ52_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1840,f289,f358,f311]) ).
fof(f2512,plain,
( sQ40_spl
| ~ sQ4_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f317,f1758]) ).
fof(f2513,plain,
( sQ40_spl
| ~ sQ4_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2512]) ).
fof(f2514,plain,
( ~ sQ7_spl
| ~ sQ53_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f971,f76,f361,f95]) ).
fof(f2515,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f439,f108,f281,f115]) ).
fof(f2532,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f247,f54]) ).
fof(f2533,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f247,f52]) ).
fof(f2534,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f50]) ).
fof(f2535,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f56]) ).
fof(f2536,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f247,f31]) ).
fof(f2537,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(X0,e_1,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f247,f29]) ).
fof(f2538,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_3,X0,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f247,f29]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f266,f54]) ).
fof(f2540,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f52]) ).
fof(f2541,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f266,f50]) ).
fof(f2542,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f266,f56]) ).
fof(f2543,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f266,f31]) ).
fof(f2544,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f266,f29]) ).
fof(f2545,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_2,X0,e_2)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f29]) ).
fof(f2546,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f54]) ).
fof(f2547,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f100,f52]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f100,f50]) ).
fof(f2549,plain,
! [X0] :
( ~ sQ8_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f56]) ).
fof(f2550,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f100,f31]) ).
fof(f2551,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f100,f29]) ).
fof(f2552,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f100,f29]) ).
fof(f2569,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1956,f54]) ).
fof(f2570,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1956,f52]) ).
fof(f2571,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1956,f50]) ).
fof(f2572,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1956,f56]) ).
fof(f2573,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1956,f31]) ).
fof(f2574,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1956,f29]) ).
fof(f2575,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(e_4,X0,e_1)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1956,f29]) ).
fof(f2576,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2107,f54]) ).
fof(f2577,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2107,f52]) ).
fof(f2578,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2107,f50]) ).
fof(f2579,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2107,f56]) ).
fof(f2580,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2107,f31]) ).
fof(f2581,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2107,f29]) ).
fof(f2582,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ32_spl
| ~ product(e_4,X0,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2107,f29]) ).
fof(f2583,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1129,f54]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1129,f52]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1129,f50]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ23_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1129,f56]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ23_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1129,f31]) ).
fof(f2588,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ23_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1129,f29]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ23_spl
| ~ product(e_3,X0,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1129,f29]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1969,f54]) ).
fof(f2591,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1969,f52]) ).
fof(f2592,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1969,f50]) ).
fof(f2593,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1969,f56]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1969,f31]) ).
fof(f2595,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1969,f29]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ2_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1969,f29]) ).
fof(f2597,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2130,f2107]) ).
fof(f2598,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2131,f2107]) ).
fof(f2599,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2132,f2107]) ).
fof(f2600,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f582,f100]) ).
fof(f2601,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f2600,f89,f246,f99]) ).
fof(f2611,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f54]) ).
fof(f2612,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f322,f52]) ).
fof(f2613,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f322,f50]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f56]) ).
fof(f2615,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f322,f31]) ).
fof(f2616,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f29]) ).
fof(f2617,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f322,f29]) ).
fof(f2618,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f362,f54]) ).
fof(f2619,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f362,f52]) ).
fof(f2620,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f362,f50]) ).
fof(f2621,plain,
! [X0] :
( ~ sQ53_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f362,f56]) ).
fof(f2622,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f362,f31]) ).
fof(f2623,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f362,f29]) ).
fof(f2624,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_3,X0,e_4)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f362,f29]) ).
fof(f2625,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f391,f54]) ).
fof(f2626,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f391,f52]) ).
fof(f2627,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f50]) ).
fof(f2628,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f56]) ).
fof(f2629,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f31]) ).
fof(f2630,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f2631,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,X0,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f2632,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2108,f1956]) ).
fof(f2633,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2109,f1956]) ).
fof(f2634,plain,
( ~ sQ26_spl
| ~ sQ20_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f584,f266]) ).
fof(f2635,plain,
( ~ sQ26_spl
| ~ sQ20_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2634,f315,f246,f265]) ).
fof(f2636,plain,
( ~ sQ4_spl
| ~ sQ32_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2110,f1956]) ).
fof(f2637,plain,
( ~ sQ51_spl
| ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f521,f355]) ).
fof(f2638,plain,
( ~ sQ51_spl
| ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f522,f355]) ).
fof(f2639,plain,
( ~ sQ51_spl
| ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f523,f355]) ).
fof(f2640,plain,
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2116,f1969]) ).
fof(f2641,plain,
( ~ sQ38_spl
| ~ sQ32_spl
| ~ sQ2_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2117,f309]) ).
fof(f2642,plain,
( ~ sQ32_spl
| ~ sQ2_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2117,f1969]) ).
fof(f2643,plain,
( ~ sQ42_spl
| ~ sQ32_spl
| ~ sQ2_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2117,f322]) ).
fof(f2644,plain,
( ~ sQ38_spl
| ~ sQ32_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2641,f42]) ).
fof(f2645,plain,
( ~ sQ38_spl
| ~ sQ32_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2644]) ).
fof(f2646,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_4,e_3)
| product(X0,e_3,e_3)
| product(X0,e_1,e_3)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f62,f715]) ).
fof(f2647,plain,
( ~ sQ42_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f715,f322]) ).
fof(f2648,plain,
( ~ sQ42_spl
| product(e_4,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f2646,f35]) ).
fof(f2649,plain,
( ~ sQ42_spl
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f2646,f34]) ).
fof(f2650,plain,
( ~ sQ42_spl
| product(e_2,e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f2646,f33]) ).
fof(f2651,plain,
( ~ sQ42_spl
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f2646,f32]) ).
fof(f2652,plain,
( ~ sQ42_spl
| sQ35_spl
| sQ39_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f2648,f337,f311,f298,f321]) ).
fof(f2653,plain,
( ~ sQ42_spl
| sQ34_spl
| sQ38_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2649,f334,f308,f295,f321]) ).
fof(f2654,plain,
( ~ sQ42_spl
| sQ33_spl
| sQ37_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f2650,f331,f305,f292,f321]) ).
fof(f2655,plain,
( ~ sQ42_spl
| sQ32_spl
| sQ36_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f2651,f328,f302,f289,f321]) ).
fof(f2656,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f372,f54]) ).
fof(f2657,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f372,f52]) ).
fof(f2658,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f372,f50]) ).
fof(f2659,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f372,f56]) ).
fof(f2660,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f372,f31]) ).
fof(f2661,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f372,f29]) ).
fof(f2662,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_2,X0,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f372,f29]) ).
fof(f2677,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f269,f54]) ).
fof(f2678,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f269,f52]) ).
fof(f2679,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f269,f50]) ).
fof(f2680,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f269,f56]) ).
fof(f2681,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f269,f31]) ).
fof(f2682,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_4,e_2)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f269,f29]) ).
fof(f2683,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_2,X0,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f269,f29]) ).
fof(f2700,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f352,f54]) ).
fof(f2701,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f352,f52]) ).
fof(f2702,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f352,f50]) ).
fof(f2703,plain,
! [X0] :
( ~ sQ50_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f352,f56]) ).
fof(f2704,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f352,f31]) ).
fof(f2705,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f352,f29]) ).
fof(f2706,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_4,X0,e_4)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f352,f29]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ11_spl
| ~ product(e_3,X0,e_2)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f649,f29]) ).
fof(f2714,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1797,f54]) ).
fof(f2715,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1797,f52]) ).
fof(f2716,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1797,f50]) ).
fof(f2717,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1797,f56]) ).
fof(f2718,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1797,f31]) ).
fof(f2719,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1797,f29]) ).
fof(f2720,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| ~ product(e_1,X0,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1797,f29]) ).
fof(f2721,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1040,f54]) ).
fof(f2722,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1040,f52]) ).
fof(f2723,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1040,f50]) ).
fof(f2724,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1040,f56]) ).
fof(f2725,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1040,f31]) ).
fof(f2726,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1040,f29]) ).
fof(f2727,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ54_spl
| ~ product(e_4,X0,e_2)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1040,f29]) ).
fof(f2730,plain,
( ~ sQ42_spl
| ~ sQ54_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1925,f322]) ).
fof(f2731,plain,
( ~ sQ42_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2730,f40]) ).
fof(f2732,plain,
( ~ sQ42_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2731]) ).
fof(f2733,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1127,f54]) ).
fof(f2734,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1127,f52]) ).
fof(f2735,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1127,f50]) ).
fof(f2736,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ23_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1127,f56]) ).
fof(f2737,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ23_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1127,f31]) ).
fof(f2738,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ23_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1127,f29]) ).
fof(f2739,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ23_spl
| ~ product(e_3,X0,e_4)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1127,f29]) ).
fof(f2740,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1238,f649]) ).
fof(f2741,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1239,f649]) ).
fof(f2742,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| ~ sQ11_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1239,f269]) ).
fof(f2743,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2742,f40]) ).
fof(f2744,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2743]) ).
fof(f2745,plain,
( ~ sQ58_spl
| ~ sQ50_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1567,f380,f351,f377]) ).
fof(f2746,plain,
( ~ sQ10_spl
| ~ sQ46_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f679,f315,f334,f105]) ).
fof(f2747,plain,
( ~ sQ23_spl
| ~ sQ54_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1040,f239,f364,f255]) ).
fof(f2756,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f329,f54]) ).
fof(f2757,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f329,f52]) ).
fof(f2758,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f329,f50]) ).
fof(f2759,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f329,f56]) ).
fof(f2760,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f329,f31]) ).
fof(f2761,plain,
( ~ sQ44_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f329,f29]) ).
fof(f2762,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(X0,e_1,e_3)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f329,f29]) ).
fof(f2763,plain,
( ~ sQ44_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f329,f29]) ).
fof(f2764,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(e_1,X0,e_3)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f329,f29]) ).
fof(f2765,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f109,f54]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f109,f52]) ).
fof(f2767,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f109,f50]) ).
fof(f2772,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f54]) ).
fof(f2773,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f74,f52]) ).
fof(f2774,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f74,f50]) ).
fof(f2775,plain,
! [X0] :
( ~ sQ0_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f56]) ).
fof(f2776,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f74,f31]) ).
fof(f2777,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f2778,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f2787,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f54]) ).
fof(f2788,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f394,f52]) ).
fof(f2789,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f394,f50]) ).
fof(f2790,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f56]) ).
fof(f2791,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f394,f31]) ).
fof(f2792,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_4,e_4)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f29]) ).
fof(f2793,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,X0,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f394,f29]) ).
fof(f2794,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1473,f54]) ).
fof(f2795,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1473,f52]) ).
fof(f2796,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1473,f50]) ).
fof(f2804,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1240,f649]) ).
fof(f2813,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f276,f226]) ).
fof(f2814,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f54]) ).
fof(f2815,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f276,f52]) ).
fof(f2816,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f276,f50]) ).
fof(f2817,plain,
! [X0] :
( ~ sQ29_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f56]) ).
fof(f2818,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_2,e_2,X0)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f276,f31]) ).
fof(f2819,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f276,f29]) ).
fof(f2820,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_1,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f276,f29]) ).
fof(f2821,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f2813,f246,f275,f89]) ).
fof(f2830,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_1,e_4)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f68,f697]) ).
fof(f2832,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2733,f1127]) ).
fof(f2833,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2734,f1127]) ).
fof(f2834,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2735,f1127]) ).
fof(f2835,plain,
( ~ sQ35_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2794,f1473]) ).
fof(f2836,plain,
( ~ sQ35_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2795,f1473]) ).
fof(f2837,plain,
( ~ sQ63_spl
| ~ sQ35_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2795,f394]) ).
fof(f2838,plain,
( ~ sQ63_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2837,f38]) ).
fof(f2839,plain,
( ~ sQ63_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2838]) ).
fof(f2840,plain,
( ~ sQ44_spl
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2830,f35]) ).
fof(f2841,plain,
( ~ sQ44_spl
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f2830,f34]) ).
fof(f2842,plain,
( ~ sQ44_spl
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f2830,f33]) ).
fof(f2844,plain,
( ~ sQ44_spl
| sQ63_spl
| sQ47_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f2840,f281,f337,f393,f328]) ).
fof(f2845,plain,
( ~ sQ44_spl
| sQ62_spl
| sQ46_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f2841,f278,f334,f390,f328]) ).
fof(f2846,plain,
( ~ sQ44_spl
| sQ61_spl
| sQ45_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2842,f275,f331,f387,f328]) ).
fof(f2848,plain,
( ~ sQ63_spl
| ~ sQ11_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f176,f394]) ).
fof(f2849,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| ~ sQ56_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f372,f2734]) ).
fof(f2850,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f372,f54]) ).
fof(f2851,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f372,f52]) ).
fof(f2852,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f372,f50]) ).
fof(f2853,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f372,f56]) ).
fof(f2854,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f372,f31]) ).
fof(f2855,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(X0,e_1,e_4)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f372,f29]) ).
fof(f2856,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_2,X0,e_4)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f372,f29]) ).
fof(f2857,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2849,f40]) ).
fof(f2858,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2857]) ).
fof(f2859,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f391,f54]) ).
fof(f2860,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f391,f52]) ).
fof(f2861,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f50]) ).
fof(f2862,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f56]) ).
fof(f2863,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f31]) ).
fof(f2864,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f2865,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,X0,e_4)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f391,f29]) ).
fof(f2890,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1797,f176]) ).
fof(f2894,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1797,f56]) ).
fof(f2895,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| ~ product(e_4,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1797,f31]) ).
fof(f2896,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| ~ product(X0,e_4,e_3)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1797,f29]) ).
fof(f2897,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| ~ product(e_1,X0,e_3)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1797,f29]) ).
fof(f2898,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2890,f54]) ).
fof(f2899,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2890,f52]) ).
fof(f2900,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2890,f50]) ).
fof(f2905,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2714,f1797]) ).
fof(f2906,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2715,f1797]) ).
fof(f2907,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2716,f1797]) ).
fof(f2908,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2898,f2890]) ).
fof(f2910,plain,
( ~ sQ5_spl
| ~ sQ61_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f388,f226]) ).
fof(f2925,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f80,f228]) ).
fof(f2926,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f80,f177]) ).
fof(f2941,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| ~ sQ42_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f322,f2898]) ).
fof(f2942,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f54]) ).
fof(f2943,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f322,f52]) ).
fof(f2944,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f322,f50]) ).
fof(f2945,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f56]) ).
fof(f2946,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f322,f31]) ).
fof(f2947,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f322,f29]) ).
fof(f2948,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f322,f29]) ).
fof(f2949,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2941,f42]) ).
fof(f2950,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2949]) ).
fof(f2977,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2926,f54]) ).
fof(f2978,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ2_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2926,f52]) ).
fof(f2979,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2926,f50]) ).
fof(f2980,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ2_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2926,f56]) ).
fof(f2981,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ2_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2926,f31]) ).
fof(f2982,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ2_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2926,f29]) ).
fof(f2983,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ2_spl
| ~ product(e_2,X0,e_4)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2926,f29]) ).
fof(f2984,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2899,f2890]) ).
fof(f2985,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2900,f2890]) ).
fof(f2986,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| ~ sQ58_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1613,f109]) ).
fof(f2987,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1611,f109]) ).
fof(f2988,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| ~ sQ58_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1612,f109]) ).
fof(f2989,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2977,f2926]) ).
fof(f2990,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2978,f2926]) ).
fof(f2991,plain,
( ~ sQ62_spl
| ~ sQ11_spl
| ~ sQ2_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2978,f391]) ).
fof(f2992,plain,
( ~ sQ62_spl
| ~ sQ11_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2991,f36]) ).
fof(f2993,plain,
( ~ sQ62_spl
| ~ sQ11_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2992]) ).
fof(f2994,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2979,f2926]) ).
fof(f2995,plain,
( ~ sQ12_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f163,f113]) ).
fof(f2996,plain,
( ~ sQ12_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f113]) ).
fof(f2997,plain,
( ~ sQ12_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f165,f113]) ).
fof(f2999,plain,
( ~ sQ30_spl
| ~ sQ23_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f561,f279]) ).
fof(f3000,plain,
( ~ sQ25_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f488,f263]) ).
fof(f3001,plain,
( ~ sQ25_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f489,f263]) ).
fof(f3002,plain,
( ~ sQ25_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f490,f263]) ).
fof(f3003,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f792,f309]) ).
fof(f3004,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f793,f309]) ).
fof(f3005,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f791,f309]) ).
fof(f3007,plain,
( ~ sQ16_spl
| ~ sQ5_spl
| ~ sQ11_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1243,f234]) ).
fof(f3008,plain,
( ~ sQ5_spl
| ~ sQ52_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f855,f90]) ).
fof(f3009,plain,
( ~ sQ16_spl
| ~ sQ52_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f856,f234]) ).
fof(f3010,plain,
( ~ sQ61_spl
| ~ sQ52_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f857,f388]) ).
fof(f3011,plain,
( ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f222,f90]) ).
fof(f3012,plain,
( ~ sQ5_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f223,f90]) ).
fof(f3013,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f224,f90]) ).
fof(f3014,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| ~ sQ52_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f858,f2926]) ).
fof(f3015,plain,
( ~ sQ30_spl
| ~ sQ16_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f670,f279]) ).
fof(f3016,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| ~ sQ16_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f671,f649]) ).
fof(f3017,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f668,f80]) ).
fof(f3018,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| ~ sQ16_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f669,f2890]) ).
fof(f3019,plain,
( ~ sQ16_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f665,f234]) ).
fof(f3020,plain,
( ~ sQ16_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f666,f234]) ).
fof(f3021,plain,
( ~ sQ16_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f667,f234]) ).
fof(f3022,plain,
( ~ sQ33_spl
| ~ sQ61_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1090,f293]) ).
fof(f3023,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| ~ sQ61_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1091,f2926]) ).
fof(f3024,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| ~ sQ61_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1092,f1127]) ).
fof(f3025,plain,
( ~ sQ30_spl
| ~ sQ61_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1089,f279]) ).
fof(f3026,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f859,f355]) ).
fof(f3027,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f860,f355]) ).
fof(f3028,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f861,f355]) ).
fof(f3029,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f827,f1797]) ).
fof(f3030,plain,
( ~ sQ16_spl
| ~ sQ33_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f824,f234]) ).
fof(f3031,plain,
( ~ sQ5_spl
| ~ sQ33_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f825,f90]) ).
fof(f3032,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| ~ sQ33_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f826,f2890]) ).
fof(f3033,plain,
( ~ sQ33_spl
| ~ sQ2_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f928,f293]) ).
fof(f3034,plain,
( ~ sQ30_spl
| ~ sQ2_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f929,f279]) ).
fof(f3035,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f930,f90]) ).
fof(f3037,plain,
( ~ sQ61_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1086,f388]) ).
fof(f3038,plain,
( ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1087,f388]) ).
fof(f3039,plain,
( ~ sQ61_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1088,f388]) ).
fof(f3040,plain,
( ~ sQ33_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f821,f293]) ).
fof(f3041,plain,
( ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f822,f293]) ).
fof(f3042,plain,
( ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f823,f293]) ).
fof(f3043,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f925,f80]) ).
fof(f3044,plain,
( ~ sQ2_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f926,f80]) ).
fof(f3045,plain,
( ~ sQ2_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f927,f80]) ).
fof(f3046,plain,
( ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f448,f279]) ).
fof(f3047,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f449,f279]) ).
fof(f3048,plain,
( ~ sQ30_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f450,f279]) ).
fof(f3049,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| ~ sQ30_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f453,f649]) ).
fof(f3050,plain,
( ~ sQ16_spl
| ~ sQ30_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f454,f234]) ).
fof(f3051,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| ~ sQ30_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f451,f1797]) ).
fof(f3052,plain,
( ~ sQ11_spl
| ~ sQ2_spl
| ~ sQ30_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f452,f2926]) ).
fof(f3053,plain,
( ~ sQ61_spl
| ~ sQ47_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f675,f388]) ).
fof(f3054,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| ~ sQ47_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f676,f649]) ).
fof(f3055,plain,
( ~ sQ33_spl
| ~ sQ47_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f677,f293]) ).
fof(f3058,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| ~ sQ40_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1587,f1127]) ).
fof(f3060,plain,
( ~ sQ33_spl
| ~ sQ40_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1589,f293]) ).
fof(f3061,plain,
( ~ sQ61_spl
| ~ sQ58_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1077,f388]) ).
fof(f3062,plain,
( ~ sQ11_spl
| ~ sQ40_spl
| ~ sQ58_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1074,f2890]) ).
fof(f3063,plain,
( ~ sQ2_spl
| ~ sQ58_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1075,f80]) ).
fof(f3064,plain,
( ~ sQ16_spl
| ~ sQ23_spl
| ~ sQ58_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1076,f1127]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| sQ11_spl
| sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| sQ16_spl
| ~ sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| sQ23_spl
| ~ sQ24_spl
| sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ35_spl
| sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ42_spl
| ~ sQ45_spl
| sQ47_spl
| ~ sQ50_spl
| sQ51_spl
| sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| sQ58_spl
| ~ sQ59_spl
| sQ61_spl
| ~ sQ62_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP128-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:00:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.97/0.73 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.97/0.73 % SZS output start Saturation for theBenchmark
% See solution above
% 2.32/0.77 % Elapsed time: 0.396303 seconds
% 2.32/0.77 % CPU time: 2.687587 seconds
% 2.32/0.77 % Total memory used: 39.304 MB
% 2.32/0.77 % Net memory used: 37.766 MB
%------------------------------------------------------------------------------