%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP130-4.004 : 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 : n011.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 12:35:59 PM UTC 2026
% Result : Satisfiable 0.14s 5.52s
% Output : Saturation 0.14s
% 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(X,Z1,Z2)
| ~ product(Z2,Y,X)
| product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Z1,Z2,Y] :
( ~ product(X,Y,Z1)
| ~ product(Z2,Y,X)
| product(X,Z1,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(Z2,Y,X)
| ~ product(X,Z1,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,
! [X,Z1,Z2] :
( ~ product(X,Z1,Z2)
| ! [Y] :
( ~ product(Z2,Y,X)
| product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X2,X3)
| ~ product(X3,X1,X0)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X,Z1,Y] :
( ~ product(X,Y,Z1)
| ! [Z2] :
( ~ product(Z2,Y,X)
| product(X,Z1,Z2) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X3,X1)
| ~ product(X2,X3,X0)
| 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,Y,Z2] :
( product(Z2,Y,X)
| ! [Z1] :
( ~ product(X,Z1,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( product(X3,X1,X0)
| ~ product(X0,X2,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,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)],[f26,f35]) ).
fof(f58,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)],[f26,f34]) ).
fof(f59,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)],[f26,f33]) ).
fof(f60,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)],[f26,f32]) ).
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_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)],[f57,f35]) ).
fof(f70,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)],[f57,f34]) ).
fof(f71,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)],[f57,f33]) ).
fof(f72,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)],[f57,f32]) ).
fof(f73,definition,
( sQ0_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ0_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f75,plain,
( sQ0_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,definition,
( sQ1_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ1_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,definition,
( sQ2_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f80,plain,
( ~ sQ2_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,definition,
( sQ3_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ3_spl
| product(e_4,e_4,e_4) ),
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_4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ4_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f88,plain,
( sQ4_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,definition,
( sQ5_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( ~ sQ5_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f91,plain,
( sQ5_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f92,definition,
( sQ6_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ6_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f94,plain,
( sQ6_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,definition,
( sQ7_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ7_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f97,plain,
( sQ7_spl
| ~ product(e_4,e_3,e_4) ),
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_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ8_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( sQ8_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,definition,
( sQ9_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ9_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( sQ9_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ10_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ10_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( sQ10_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ11_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ11_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f110,plain,
( sQ11_spl
| ~ product(e_4,e_2,e_4) ),
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_4) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ12_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f114,plain,
( sQ12_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ13_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ13_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f117,plain,
( sQ13_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ14_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ14_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ15_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ15_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ15_spl
| ~ product(e_4,e_1,e_4) ),
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,
( 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)],[f58,f35]) ).
fof(f126,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)],[f58,f34]) ).
fof(f127,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)],[f58,f33]) ).
fof(f128,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)],[f58,f32]) ).
fof(f129,definition,
( sQ16_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ16_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f131,plain,
( sQ16_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
( sQ17_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ17_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ18_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ18_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ19_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ19_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f125,f129,f132,f135,f138]) ).
fof(f142,definition,
( sQ20_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ20_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f144,plain,
( sQ20_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,definition,
( sQ21_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ21_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ21_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,definition,
( sQ22_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( sQ22_spl
| ~ product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,definition,
( sQ23_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ23_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( sQ23_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f126,f142,f145,f148,f151]) ).
fof(f155,definition,
( sQ24_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ24_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f157,plain,
( sQ24_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ25_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ25_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( sQ25_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
( sQ26_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ26_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f163,plain,
( sQ26_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
( sQ27_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ27_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ27_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f127,f155,f158,f161,f164]) ).
fof(f168,definition,
( sQ28_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ28_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f170,plain,
( sQ28_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
( sQ29_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ29_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f173,plain,
( sQ29_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,definition,
( sQ30_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ30_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f176,plain,
( sQ30_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ31_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ31_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ31_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f128,f168,f171,f174,f177]) ).
fof(f181,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)],[f59,f35]) ).
fof(f182,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)],[f59,f34]) ).
fof(f183,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)],[f59,f33]) ).
fof(f184,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)],[f59,f32]) ).
fof(f185,definition,
( sQ32_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ32_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ32_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ33_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ33_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ34_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ34_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ35_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ35_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f181,f185,f188,f191,f194]) ).
fof(f198,definition,
( sQ36_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ36_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f200,plain,
( sQ36_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ37_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ37_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f203,plain,
( sQ37_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
( sQ38_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ38_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( sQ38_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ39_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ39_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ39_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f182,f198,f201,f204,f207]) ).
fof(f211,definition,
( sQ40_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ40_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ40_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ41_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ41_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( sQ41_spl
| ~ product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ42_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ42_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ42_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
( sQ43_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f222,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f183,f211,f214,f217,f220]) ).
fof(f224,definition,
( sQ44_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ44_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( sQ44_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,definition,
( sQ45_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ45_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ45_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ46_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ46_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ46_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ47_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ47_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ47_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f184,f224,f227,f230,f233]) ).
fof(f237,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)],[f60,f35]) ).
fof(f238,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)],[f60,f34]) ).
fof(f239,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)],[f60,f33]) ).
fof(f240,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)],[f60,f32]) ).
fof(f241,definition,
( sQ48_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ48_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ49_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ49_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ49_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ50_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ50_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( sQ50_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,definition,
( sQ51_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ51_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f237,f241,f244,f247,f250]) ).
fof(f254,definition,
( sQ52_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ52_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ52_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ53_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ53_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ53_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ54_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ54_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ54_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ55_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ55_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ55_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f238,f254,f257,f260,f263]) ).
fof(f267,definition,
( sQ56_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ56_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( sQ56_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,definition,
( sQ57_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ57_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( sQ57_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ58_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ58_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( sQ58_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ59_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ59_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ59_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f239,f267,f270,f273,f276]) ).
fof(f280,definition,
( sQ60_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ60_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( sQ60_spl
| ~ product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ61_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ61_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( sQ61_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,definition,
( sQ62_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ62_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( sQ62_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ63_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ63_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( sQ63_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f240,f280,f283,f286,f289]) ).
fof(f293,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(f294,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(f295,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(f296,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(f297,plain,
( sQ3_spl
| sQ7_spl
| sQ11_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f293,f121,f108,f95,f82]) ).
fof(f298,plain,
( sQ2_spl
| sQ6_spl
| sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f294,f118,f105,f92,f79]) ).
fof(f299,plain,
( sQ1_spl
| sQ5_spl
| sQ9_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f295,f115,f102,f89,f76]) ).
fof(f300,plain,
( sQ0_spl
| sQ4_spl
| sQ8_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f296,f112,f99,f86,f73]) ).
fof(f301,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(f302,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(f303,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(f304,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(f305,plain,
( sQ19_spl
| sQ23_spl
| sQ27_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f301,f177,f164,f151,f138]) ).
fof(f306,plain,
( sQ18_spl
| sQ22_spl
| sQ26_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f302,f174,f161,f148,f135]) ).
fof(f307,plain,
( sQ17_spl
| sQ21_spl
| sQ25_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f303,f171,f158,f145,f132]) ).
fof(f308,plain,
( sQ16_spl
| sQ20_spl
| sQ24_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f304,f168,f155,f142,f129]) ).
fof(f309,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(f310,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(f311,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(f312,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(f313,plain,
( sQ35_spl
| sQ39_spl
| sQ43_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f309,f233,f220,f207,f194]) ).
fof(f314,plain,
( sQ34_spl
| sQ38_spl
| sQ42_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f310,f230,f217,f204,f191]) ).
fof(f315,plain,
( sQ33_spl
| sQ37_spl
| sQ41_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f311,f227,f214,f201,f188]) ).
fof(f316,plain,
( sQ32_spl
| sQ36_spl
| sQ40_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f312,f224,f211,f198,f185]) ).
fof(f317,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(f318,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(f319,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(f320,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(f321,plain,
( sQ51_spl
| sQ55_spl
| sQ59_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f317,f289,f276,f263,f250]) ).
fof(f322,plain,
( sQ50_spl
| sQ54_spl
| sQ58_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f318,f286,f273,f260,f247]) ).
fof(f323,plain,
( sQ49_spl
| sQ53_spl
| sQ57_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f319,f283,f270,f257,f244]) ).
fof(f324,plain,
( sQ48_spl
| sQ52_spl
| sQ56_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f320,f280,f267,f254,f241]) ).
fof(f325,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(f326,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(f327,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(f328,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(f329,plain,
( sQ3_spl
| sQ19_spl
| sQ35_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f325,f250,f194,f138,f82]) ).
fof(f330,plain,
( sQ2_spl
| sQ18_spl
| sQ34_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f326,f247,f191,f135,f79]) ).
fof(f331,plain,
( sQ1_spl
| sQ17_spl
| sQ33_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f327,f244,f188,f132,f76]) ).
fof(f332,plain,
( sQ0_spl
| sQ16_spl
| sQ32_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f328,f241,f185,f129,f73]) ).
fof(f333,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(f334,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(f335,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(f336,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(f337,plain,
( sQ7_spl
| sQ23_spl
| sQ39_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f333,f263,f207,f151,f95]) ).
fof(f338,plain,
( sQ6_spl
| sQ22_spl
| sQ38_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f334,f260,f204,f148,f92]) ).
fof(f339,plain,
( sQ5_spl
| sQ21_spl
| sQ37_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f335,f257,f201,f145,f89]) ).
fof(f340,plain,
( sQ4_spl
| sQ20_spl
| sQ36_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f336,f254,f198,f142,f86]) ).
fof(f341,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(f342,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(f343,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(f344,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(f345,plain,
( sQ11_spl
| sQ27_spl
| sQ43_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f341,f276,f220,f164,f108]) ).
fof(f346,plain,
( sQ10_spl
| sQ26_spl
| sQ42_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f342,f273,f217,f161,f105]) ).
fof(f347,plain,
( sQ9_spl
| sQ25_spl
| sQ41_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f343,f270,f214,f158,f102]) ).
fof(f348,plain,
( sQ8_spl
| sQ24_spl
| sQ40_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f344,f267,f211,f155,f99]) ).
fof(f349,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(f350,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(f351,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(f352,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(f353,plain,
( sQ15_spl
| sQ31_spl
| sQ47_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f349,f289,f233,f177,f121]) ).
fof(f354,plain,
( sQ14_spl
| sQ30_spl
| sQ46_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f350,f286,f230,f174,f118]) ).
fof(f355,plain,
( sQ13_spl
| sQ29_spl
| sQ45_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f351,f283,f227,f171,f115]) ).
fof(f356,plain,
( sQ12_spl
| sQ28_spl
| sQ44_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f352,f280,f224,f168,f112]) ).
fof(f357,plain,
! [X0] :
( ~ sQ12_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f113,f56]) ).
fof(f358,plain,
! [X0] :
( ~ sQ12_spl
| ~ product(e_4,e_1,X0)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f113,f31]) ).
fof(f359,plain,
! [X0] :
( ~ sQ12_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f113,f29]) ).
fof(f360,plain,
! [X0] :
( ~ sQ12_spl
| ~ product(e_4,X0,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f113,f29]) ).
fof(f361,plain,
! [X0] :
( ~ sQ12_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)],[f60,f357]) ).
fof(f362,plain,
( ~ sQ12_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)],[f361,f35]) ).
fof(f363,plain,
( ~ sQ12_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)],[f361,f34]) ).
fof(f364,plain,
( ~ sQ12_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)],[f361,f33]) ).
fof(f365,plain,
( ~ sQ12_spl
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f361,f32]) ).
fof(f366,plain,
( ~ sQ12_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f362,f244,f247,f250,f112]) ).
fof(f367,plain,
( ~ sQ12_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f363,f257,f260,f263,f112]) ).
fof(f368,plain,
( ~ sQ12_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f364,f270,f273,f276,f112]) ).
fof(f369,plain,
( ~ sQ12_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f365,f283,f286,f289,f112]) ).
fof(f378,plain,
! [X0] :
( ~ sQ8_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f100,f56]) ).
fof(f379,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_4,e_2,X0)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f100,f31]) ).
fof(f380,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f100,f29]) ).
fof(f381,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_4,X0,e_1)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f100,f29]) ).
fof(f382,plain,
! [X0] :
( ~ sQ4_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f87,f56]) ).
fof(f383,plain,
! [X0] :
( ~ sQ4_spl
| ~ product(e_4,e_3,X0)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f87,f31]) ).
fof(f384,plain,
! [X0] :
( ~ sQ4_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f87,f29]) ).
fof(f385,plain,
! [X0] :
( ~ sQ4_spl
| ~ product(e_4,X0,e_1)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f87,f29]) ).
fof(f386,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f50,f87]) ).
fof(f387,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f50,f100]) ).
fof(f388,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f52,f87]) ).
fof(f389,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f52,f100]) ).
fof(f390,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f54,f87]) ).
fof(f391,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f54,f100]) ).
fof(f392,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f178,f54]) ).
fof(f393,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f178,f52]) ).
fof(f394,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f178,f50]) ).
fof(f395,plain,
! [X0] :
( ~ sQ31_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f178,f56]) ).
fof(f396,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_3,e_1,X0)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f178,f31]) ).
fof(f397,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_3,X0,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f178,f29]) ).
fof(f398,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_3,X0,e_4)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f178,f29]) ).
fof(f399,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f175,f396]) ).
fof(f400,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f175,f54]) ).
fof(f401,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f175,f52]) ).
fof(f402,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f175,f50]) ).
fof(f403,plain,
! [X0] :
( ~ sQ30_spl
| product(e_3,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f175,f56]) ).
fof(f404,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_3,e_1,X0)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f175,f31]) ).
fof(f405,plain,
( ~ sQ30_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f175,f29]) ).
fof(f406,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_3,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f175,f29]) ).
fof(f408,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_3,X0,e_3)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f175,f29]) ).
fof(f409,plain,
( ~ sQ30_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f404,f175]) ).
fof(f412,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f172,f54]) ).
fof(f413,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f172,f52]) ).
fof(f414,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f172,f50]) ).
fof(f415,plain,
! [X0] :
( ~ sQ29_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f172,f56]) ).
fof(f416,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_3,e_1,X0)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f172,f31]) ).
fof(f417,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f172,f29]) ).
fof(f418,plain,
! [X0] :
( ~ sQ29_spl
| ~ product(e_3,X0,e_2)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f172,f29]) ).
fof(f419,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f416,f175]) ).
fof(f420,plain,
( ~ sQ4_spl
| ~ sQ28_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f169,f382]) ).
fof(f421,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f169,f54]) ).
fof(f422,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f169,f52]) ).
fof(f423,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f169,f50]) ).
fof(f424,plain,
! [X0] :
( ~ sQ28_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f169,f56]) ).
fof(f425,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(e_3,e_1,X0)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f169,f31]) ).
fof(f426,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(e_3,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f169,f29]) ).
fof(f427,plain,
! [X0] :
( ~ sQ28_spl
| ~ product(e_3,X0,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f169,f29]) ).
fof(f428,plain,
! [X0] :
( ~ sQ28_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)],[f60,f424]) ).
fof(f429,plain,
( ~ sQ28_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)],[f428,f35]) ).
fof(f430,plain,
( ~ sQ28_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)],[f428,f34]) ).
fof(f431,plain,
( ~ sQ28_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)],[f428,f33]) ).
fof(f432,plain,
( ~ sQ28_spl
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f32]) ).
fof(f433,plain,
( ~ sQ28_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f429,f244,f247,f250,f168]) ).
fof(f434,plain,
( ~ sQ28_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f430,f257,f260,f263,f168]) ).
fof(f435,plain,
( ~ sQ28_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f431,f270,f273,f276,f168]) ).
fof(f436,plain,
( ~ sQ28_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f432,f283,f286,f289,f168]) ).
fof(f445,plain,
( ~ sQ8_spl
| ~ sQ27_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f165,f379]) ).
fof(f446,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f165,f54]) ).
fof(f447,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f165,f52]) ).
fof(f448,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f165,f50]) ).
fof(f449,plain,
! [X0] :
( ~ sQ27_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f165,f56]) ).
fof(f450,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_3,e_2,X0)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f165,f31]) ).
fof(f451,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_3,X0,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f165,f29]) ).
fof(f452,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_3,X0,e_4)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f165,f29]) ).
fof(f453,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f162,f450]) ).
fof(f456,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f162,f54]) ).
fof(f457,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f162,f52]) ).
fof(f458,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f162,f50]) ).
fof(f459,plain,
! [X0] :
( ~ sQ26_spl
| product(e_3,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f162,f56]) ).
fof(f460,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_3,e_2,X0)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f162,f31]) ).
fof(f461,plain,
( ~ sQ26_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f162,f29]) ).
fof(f462,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_3,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f162,f29]) ).
fof(f464,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_3,X0,e_3)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f162,f29]) ).
fof(f465,plain,
( ~ sQ26_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f460,f162]) ).
fof(f467,plain,
( ~ sQ30_spl
| ~ sQ26_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f462,f175]) ).
fof(f469,plain,
( ~ sQ30_spl
| ~ sQ26_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f464,f175]) ).
fof(f470,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f159,f54]) ).
fof(f471,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f159,f52]) ).
fof(f472,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f159,f50]) ).
fof(f473,plain,
! [X0] :
( ~ sQ25_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f159,f56]) ).
fof(f474,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(e_3,e_2,X0)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f159,f31]) ).
fof(f475,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f159,f29]) ).
fof(f476,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(e_3,X0,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f159,f29]) ).
fof(f477,plain,
! [X0] :
( ~ sQ25_spl
| product(e_4,X0,e_2)
| product(e_3,X0,e_2)
| product(e_1,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f59,f473]) ).
fof(f478,plain,
( ~ sQ25_spl
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f477,f35]) ).
fof(f479,plain,
( ~ sQ25_spl
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f477,f34]) ).
fof(f480,plain,
( ~ sQ25_spl
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f477,f33]) ).
fof(f481,plain,
( ~ sQ25_spl
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f477,f32]) ).
fof(f482,plain,
( ~ sQ25_spl
| sQ35_spl
| sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f478,f185,f191,f194,f158]) ).
fof(f483,plain,
( ~ sQ25_spl
| sQ39_spl
| sQ38_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f479,f198,f204,f207,f158]) ).
fof(f484,plain,
( ~ sQ25_spl
| sQ43_spl
| sQ42_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f480,f211,f217,f220,f158]) ).
fof(f485,plain,
( ~ sQ25_spl
| sQ47_spl
| sQ46_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f481,f224,f230,f233,f158]) ).
fof(f494,plain,
( ~ sQ4_spl
| ~ sQ24_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f156,f382]) ).
fof(f495,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f156,f54]) ).
fof(f496,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f156,f52]) ).
fof(f497,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f156,f50]) ).
fof(f498,plain,
! [X0] :
( ~ sQ24_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f156,f56]) ).
fof(f499,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_3,e_2,X0)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f156,f31]) ).
fof(f500,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_3,X0,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f156,f29]) ).
fof(f501,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_3,X0,e_1)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f156,f29]) ).
fof(f502,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f499,f162]) ).
fof(f503,plain,
( ~ sQ4_spl
| ~ sQ23_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f152,f383]) ).
fof(f504,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f54]) ).
fof(f505,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f152,f52]) ).
fof(f506,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f152,f50]) ).
fof(f507,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f152,f56]) ).
fof(f508,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(e_3,e_3,X0)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f152,f31]) ).
fof(f509,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(e_3,X0,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f152,f29]) ).
fof(f510,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(e_3,X0,e_4)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f152,f29]) ).
fof(f511,plain,
( ~ sQ23_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f507,f152]) ).
fof(f512,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f507,f165]) ).
fof(f513,plain,
( ~ sQ31_spl
| ~ sQ23_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f507,f178]) ).
fof(f514,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f149,f508]) ).
fof(f519,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f149,f54]) ).
fof(f520,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f149,f52]) ).
fof(f521,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f149,f50]) ).
fof(f523,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_3,e_3,X0)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f149,f31]) ).
fof(f527,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_3,X0,e_3)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f149,f29]) ).
fof(f530,plain,
( ~ sQ26_spl
| ~ sQ22_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f527,f162]) ).
fof(f532,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f54]) ).
fof(f533,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f146,f52]) ).
fof(f534,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f146,f50]) ).
fof(f535,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f146,f56]) ).
fof(f536,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_3,e_3,X0)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f146,f31]) ).
fof(f537,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f146,f29]) ).
fof(f538,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_3,X0,e_2)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f146,f29]) ).
fof(f539,plain,
( ~ sQ21_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f535,f146]) ).
fof(f540,plain,
( ~ sQ29_spl
| ~ sQ21_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f535,f172]) ).
fof(f542,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f382]) ).
fof(f543,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f143,f54]) ).
fof(f544,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f143,f52]) ).
fof(f545,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f143,f50]) ).
fof(f546,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f143,f56]) ).
fof(f547,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_3,e_3,X0)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f143,f31]) ).
fof(f548,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_3,X0,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f143,f29]) ).
fof(f549,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_3,X0,e_1)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f143,f29]) ).
fof(f550,plain,
( ~ sQ27_spl
| ~ sQ47_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f234,f449]) ).
fof(f551,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f234,f54]) ).
fof(f552,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f234,f52]) ).
fof(f553,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f234,f50]) ).
fof(f554,plain,
! [X0] :
( ~ sQ47_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f234,f56]) ).
fof(f555,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(e_2,e_1,X0)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f234,f31]) ).
fof(f556,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(e_2,X0,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f234,f29]) ).
fof(f557,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(e_2,X0,e_4)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f234,f29]) ).
fof(f558,plain,
( ~ sQ29_spl
| ~ sQ46_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f231,f416]) ).
fof(f559,plain,
( ~ sQ30_spl
| ~ sQ46_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f231,f404]) ).
fof(f560,plain,
( ~ sQ31_spl
| ~ sQ46_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f396]) ).
fof(f561,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f231,f538]) ).
fof(f562,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f231,f537]) ).
fof(f563,plain,
( ~ sQ26_spl
| ~ sQ46_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f231,f459]) ).
fof(f564,plain,
( ~ sQ29_spl
| ~ sQ46_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f231,f418]) ).
fof(f565,plain,
( ~ sQ29_spl
| ~ sQ46_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f231,f417]) ).
fof(f566,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f231,f54]) ).
fof(f567,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f231,f52]) ).
fof(f568,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f231,f50]) ).
fof(f569,plain,
! [X0] :
( ~ sQ46_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f231,f56]) ).
fof(f570,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_2,e_1,X0)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f231,f31]) ).
fof(f571,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f231,f29]) ).
fof(f572,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_2,X0,e_3)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f231,f29]) ).
fof(f573,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f228,f54]) ).
fof(f574,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f228,f52]) ).
fof(f575,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f228,f50]) ).
fof(f576,plain,
! [X0] :
( ~ sQ45_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f228,f56]) ).
fof(f577,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_2,e_1,X0)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f228,f31]) ).
fof(f579,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_2,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f228,f29]) ).
fof(f580,plain,
( ~ sQ45_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f29]) ).
fof(f581,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_2,X0,e_2)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f228,f29]) ).
fof(f582,plain,
( ~ sQ24_spl
| ~ sQ44_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f225,f498]) ).
fof(f583,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f225,f378]) ).
fof(f584,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f225,f54]) ).
fof(f585,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f225,f52]) ).
fof(f586,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f225,f50]) ).
fof(f587,plain,
! [X0] :
( ~ sQ44_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f225,f56]) ).
fof(f588,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(e_2,e_1,X0)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f225,f31]) ).
fof(f589,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f225,f29]) ).
fof(f590,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(e_2,X0,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f225,f29]) ).
fof(f591,plain,
! [X0] :
( ~ sQ44_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)],[f60,f587]) ).
fof(f592,plain,
( ~ sQ8_spl
| ~ sQ43_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f221,f379]) ).
fof(f593,plain,
( ~ sQ27_spl
| ~ sQ43_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f221,f449]) ).
fof(f594,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f54]) ).
fof(f595,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f221,f52]) ).
fof(f596,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f221,f50]) ).
fof(f597,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f221,f56]) ).
fof(f598,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_2,e_2,X0)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f221,f31]) ).
fof(f599,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_2,X0,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f221,f29]) ).
fof(f600,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_2,X0,e_4)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f221,f29]) ).
fof(f601,plain,
( ~ sQ24_spl
| ~ sQ42_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f218,f499]) ).
fof(f603,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f218,f450]) ).
fof(f605,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f218,f537]) ).
fof(f607,plain,
( ~ sQ29_spl
| ~ sQ42_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f218,f418]) ).
fof(f608,plain,
( ~ sQ29_spl
| ~ sQ42_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f218,f417]) ).
fof(f609,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f54]) ).
fof(f610,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f218,f52]) ).
fof(f611,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f218,f50]) ).
fof(f612,plain,
! [X0] :
( ~ sQ42_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f218,f56]) ).
fof(f613,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,e_2,X0)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f218,f31]) ).
fof(f614,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f218,f29]) ).
fof(f615,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_2,X0,e_3)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f218,f29]) ).
fof(f616,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f54]) ).
fof(f617,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f215,f52]) ).
fof(f618,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f215,f50]) ).
fof(f620,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(e_2,e_2,X0)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f215,f31]) ).
fof(f624,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(e_2,X0,e_2)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f215,f29]) ).
fof(f625,plain,
( ~ sQ24_spl
| ~ sQ40_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f212,f498]) ).
fof(f626,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f212,f378]) ).
fof(f627,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f212,f54]) ).
fof(f628,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f212,f52]) ).
fof(f629,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f212,f50]) ).
fof(f630,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f212,f56]) ).
fof(f631,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(e_2,e_2,X0)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f212,f31]) ).
fof(f632,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f212,f29]) ).
fof(f633,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(e_2,X0,e_1)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f212,f29]) ).
fof(f634,plain,
( ~ sQ44_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)],[f591,f35]) ).
fof(f635,plain,
( ~ sQ44_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)],[f591,f34]) ).
fof(f636,plain,
( ~ sQ44_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)],[f591,f33]) ).
fof(f637,plain,
( ~ sQ44_spl
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f591,f32]) ).
fof(f638,plain,
( ~ sQ44_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f634,f244,f247,f250,f224]) ).
fof(f639,plain,
( ~ sQ44_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f635,f257,f260,f263,f224]) ).
fof(f640,plain,
( ~ sQ44_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f636,f270,f273,f276,f224]) ).
fof(f641,plain,
( ~ sQ44_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f637,f283,f286,f289,f224]) ).
fof(f651,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f605,f54]) ).
fof(f652,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f605,f52]) ).
fof(f653,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f605,f50]) ).
fof(f654,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ42_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f605,f56]) ).
fof(f655,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ42_spl
| ~ product(e_3,e_2,X0)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f605,f31]) ).
fof(f656,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ42_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f605,f29]) ).
fof(f657,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ42_spl
| ~ product(e_3,X0,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f605,f29]) ).
fof(f658,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ42_spl
| product(e_4,X0,e_2)
| product(e_3,X0,e_2)
| product(e_1,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f59,f654]) ).
fof(f659,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f658,f35]) ).
fof(f662,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f658,f32]) ).
fof(f663,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| sQ35_spl
| sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f659,f185,f191,f194,f217,f145]) ).
fof(f666,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| sQ47_spl
| sQ46_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f662,f224,f230,f233,f217,f145]) ).
fof(f675,plain,
( ~ sQ24_spl
| ~ sQ29_spl
| ~ sQ46_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f558,f499]) ).
fof(f677,plain,
( ~ sQ27_spl
| ~ sQ29_spl
| ~ sQ46_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f558,f450]) ).
fof(f680,plain,
( ~ sQ29_spl
| ~ sQ46_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f558,f417]) ).
fof(f681,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f558,f54]) ).
fof(f682,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f558,f52]) ).
fof(f683,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f558,f50]) ).
fof(f684,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ46_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f558,f56]) ).
fof(f685,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ46_spl
| ~ product(e_2,e_2,X0)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f558,f31]) ).
fof(f686,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ46_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f558,f29]) ).
fof(f687,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ46_spl
| ~ product(e_2,X0,e_3)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f558,f29]) ).
fof(f688,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| ~ sQ46_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f681,f215]) ).
fof(f689,plain,
( ~ sQ29_spl
| ~ sQ46_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f681,f558]) ).
fof(f690,plain,
( ~ sQ43_spl
| ~ sQ29_spl
| ~ sQ46_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f681,f221]) ).
fof(f691,plain,
( ~ sQ40_spl
| ~ sQ29_spl
| ~ sQ46_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f681,f212]) ).
fof(f692,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f688,f40]) ).
fof(f693,plain,
( ~ sQ41_spl
| ~ sQ29_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f692]) ).
fof(f694,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f461,f499]) ).
fof(f696,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f461,f450]) ).
fof(f698,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f461,f54]) ).
fof(f699,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f461,f52]) ).
fof(f700,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f461,f50]) ).
fof(f701,plain,
! [X0] :
( ~ sQ26_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f461,f56]) ).
fof(f702,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_2,e_2,X0)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f461,f31]) ).
fof(f703,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f461,f29]) ).
fof(f704,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_2,X0,e_3)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f461,f29]) ).
fof(f705,plain,
( ~ sQ20_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f546,f143]) ).
fof(f706,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f546,f156]) ).
fof(f707,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f547,f149]) ).
fof(f708,plain,
( ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f698,f461]) ).
fof(f709,plain,
( ~ sQ43_spl
| ~ sQ26_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f698,f221]) ).
fof(f710,plain,
( ~ sQ40_spl
| ~ sQ26_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f698,f212]) ).
fof(f711,plain,
( ~ sQ43_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f47]) ).
fof(f712,plain,
( ~ sQ43_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f711]) ).
fof(f713,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ46_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f559,f499]) ).
fof(f714,plain,
( ~ sQ27_spl
| ~ sQ30_spl
| ~ sQ46_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f559,f450]) ).
fof(f715,plain,
( ~ sQ22_spl
| ~ sQ30_spl
| ~ sQ46_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f559,f527]) ).
fof(f717,plain,
( ~ sQ30_spl
| ~ sQ46_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f559,f406]) ).
fof(f718,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f559,f54]) ).
fof(f719,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f559,f52]) ).
fof(f720,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f559,f50]) ).
fof(f721,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| product(e_3,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f559,f56]) ).
fof(f722,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| ~ product(e_3,e_2,X0)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f559,f31]) ).
fof(f723,plain,
( ~ sQ30_spl
| ~ sQ46_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f559,f29]) ).
fof(f724,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| ~ product(e_3,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f559,f29]) ).
fof(f726,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| ~ product(e_3,X0,e_3)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f559,f29]) ).
fof(f727,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ46_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f723,f499]) ).
fof(f728,plain,
( ~ sQ27_spl
| ~ sQ30_spl
| ~ sQ46_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f723,f450]) ).
fof(f729,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f723,f54]) ).
fof(f730,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f723,f52]) ).
fof(f731,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f723,f50]) ).
fof(f732,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f723,f56]) ).
fof(f733,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| ~ product(e_2,e_2,X0)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f723,f31]) ).
fof(f734,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f723,f29]) ).
fof(f735,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ46_spl
| ~ product(e_2,X0,e_3)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f723,f29]) ).
fof(f736,plain,
( ~ sQ30_spl
| ~ sQ46_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f718,f559]) ).
fof(f737,plain,
( ~ sQ27_spl
| ~ sQ30_spl
| ~ sQ46_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f718,f165]) ).
fof(f738,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ46_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f718,f156]) ).
fof(f739,plain,
( ~ sQ27_spl
| ~ sQ30_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f737,f47]) ).
fof(f740,plain,
( ~ sQ27_spl
| ~ sQ30_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f739]) ).
fof(f741,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f555,f228]) ).
fof(f742,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f570,f228]) ).
fof(f743,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f742,f54]) ).
fof(f744,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f742,f52]) ).
fof(f745,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f742,f50]) ).
fof(f746,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f742,f56]) ).
fof(f747,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| ~ product(e_3,e_2,X0)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f742,f31]) ).
fof(f748,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f742,f29]) ).
fof(f749,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| ~ product(e_3,X0,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f742,f29]) ).
fof(f750,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| product(e_4,X0,e_2)
| product(e_3,X0,e_2)
| product(e_1,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f59,f746]) ).
fof(f751,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f750,f35]) ).
fof(f752,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f750,f34]) ).
fof(f753,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f750,f33]) ).
fof(f755,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| sQ35_spl
| sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f751,f185,f191,f194,f230,f227]) ).
fof(f756,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| sQ39_spl
| sQ38_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f752,f198,f204,f207,f230,f227]) ).
fof(f757,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| sQ43_spl
| sQ42_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f753,f211,f217,f220,f230,f227]) ).
fof(f767,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| ~ sQ42_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f607,f396]) ).
fof(f768,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f607,f54]) ).
fof(f769,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f607,f52]) ).
fof(f770,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f607,f50]) ).
fof(f771,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ42_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f607,f56]) ).
fof(f772,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ42_spl
| ~ product(e_2,e_1,X0)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f607,f31]) ).
fof(f773,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ42_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f607,f29]) ).
fof(f774,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ42_spl
| ~ product(e_2,X0,e_3)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f607,f29]) ).
fof(f775,plain,
( ~ sQ29_spl
| ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f768,f607]) ).
fof(f776,plain,
( ~ sQ47_spl
| ~ sQ29_spl
| ~ sQ42_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f768,f234]) ).
fof(f777,plain,
( ~ sQ47_spl
| ~ sQ29_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f776,f47]) ).
fof(f778,plain,
( ~ sQ47_spl
| ~ sQ29_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f777]) ).
fof(f779,plain,
( ~ sQ40_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f630,f212]) ).
fof(f780,plain,
( ~ sQ22_spl
| ~ sQ30_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f406,f149]) ).
fof(f782,plain,
( ~ sQ4_spl
| ~ sQ39_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f208,f383]) ).
fof(f783,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f208,f54]) ).
fof(f784,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f208,f52]) ).
fof(f785,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f208,f50]) ).
fof(f786,plain,
! [X0] :
( ~ sQ39_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f208,f56]) ).
fof(f787,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_2,e_3,X0)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f208,f31]) ).
fof(f788,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_2,X0,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f208,f29]) ).
fof(f789,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_2,X0,e_4)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f208,f29]) ).
fof(f790,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f786,f152]) ).
fof(f791,plain,
( ~ sQ31_spl
| ~ sQ39_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f786,f178]) ).
fof(f792,plain,
( ~ sQ20_spl
| ~ sQ38_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f205,f547]) ).
fof(f793,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f205,f523]) ).
fof(f794,plain,
( ~ sQ23_spl
| ~ sQ38_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f205,f508]) ).
fof(f795,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f205,f54]) ).
fof(f796,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f205,f52]) ).
fof(f797,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f205,f50]) ).
fof(f798,plain,
! [X0] :
( ~ sQ38_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f205,f56]) ).
fof(f799,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(e_2,e_3,X0)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f205,f31]) ).
fof(f800,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f205,f29]) ).
fof(f801,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(e_2,X0,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f205,f29]) ).
fof(f802,plain,
! [X0] :
( ~ sQ38_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)],[f58,f798]) ).
fof(f803,plain,
( ~ sQ38_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)],[f802,f35]) ).
fof(f804,plain,
( ~ sQ38_spl
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f802,f34]) ).
fof(f805,plain,
( ~ sQ38_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)],[f802,f33]) ).
fof(f806,plain,
( ~ sQ38_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)],[f802,f32]) ).
fof(f807,plain,
( ~ sQ38_spl
| sQ19_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f803,f129,f132,f138,f204]) ).
fof(f808,plain,
( ~ sQ38_spl
| sQ23_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f804,f142,f145,f151,f204]) ).
fof(f809,plain,
( ~ sQ38_spl
| sQ27_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f805,f155,f158,f164,f204]) ).
fof(f810,plain,
( ~ sQ38_spl
| sQ31_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f806,f168,f171,f177,f204]) ).
fof(f819,plain,
( ~ sQ39_spl
| ~ sQ27_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f449,f208]) ).
fof(f820,plain,
( ~ sQ47_spl
| ~ sQ27_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f449,f234]) ).
fof(f821,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f202,f787]) ).
fof(f822,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f202,f54]) ).
fof(f823,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f202,f52]) ).
fof(f824,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f202,f50]) ).
fof(f825,plain,
! [X0] :
( ~ sQ37_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f202,f56]) ).
fof(f826,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_2,e_3,X0)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f202,f31]) ).
fof(f827,plain,
( ~ sQ37_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f202,f29]) ).
fof(f828,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_2,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f202,f29]) ).
fof(f830,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_2,X0,e_2)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f202,f29]) ).
fof(f831,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f827,f787]) ).
fof(f832,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f827,f54]) ).
fof(f833,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f827,f52]) ).
fof(f834,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f827,f50]) ).
fof(f835,plain,
! [X0] :
( ~ sQ37_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f827,f56]) ).
fof(f836,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_3,e_3,X0)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f827,f31]) ).
fof(f837,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f827,f29]) ).
fof(f838,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_3,X0,e_2)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f827,f29]) ).
fof(f839,plain,
( ~ sQ37_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f832,f827]) ).
fof(f840,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f832,f149]) ).
fof(f841,plain,
( ~ sQ23_spl
| ~ sQ37_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f832,f152]) ).
fof(f842,plain,
( ~ sQ20_spl
| ~ sQ37_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f832,f143]) ).
fof(f843,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f840,f43]) ).
fof(f844,plain,
( ~ sQ22_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f843]) ).
fof(f845,plain,
( ~ sQ40_spl
| ~ sQ36_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f199,f630]) ).
fof(f846,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f199,f498]) ).
fof(f847,plain,
( ~ sQ8_spl
| ~ sQ36_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f199,f378]) ).
fof(f848,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f199,f54]) ).
fof(f849,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f199,f52]) ).
fof(f850,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f199,f50]) ).
fof(f851,plain,
! [X0] :
( ~ sQ36_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f199,f56]) ).
fof(f852,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(e_2,e_3,X0)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f199,f31]) ).
fof(f853,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f199,f29]) ).
fof(f854,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(e_2,X0,e_1)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f199,f29]) ).
fof(f855,plain,
( ~ sQ20_spl
| ~ sQ36_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f851,f143]) ).
fof(f856,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f851,f156]) ).
fof(f857,plain,
( ~ sQ47_spl
| ~ sQ63_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f290,f554]) ).
fof(f858,plain,
( ~ sQ31_spl
| ~ sQ63_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f290,f395]) ).
fof(f859,plain,
( ~ sQ4_spl
| ~ sQ63_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f290,f385]) ).
fof(f860,plain,
( ~ sQ4_spl
| ~ sQ63_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f290,f384]) ).
fof(f862,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f290,f380]) ).
fof(f863,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f290,f54]) ).
fof(f864,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f290,f52]) ).
fof(f865,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f290,f50]) ).
fof(f866,plain,
! [X0] :
( ~ sQ63_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f290,f56]) ).
fof(f867,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,e_1,X0)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f290,f31]) ).
fof(f868,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,X0,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f290,f29]) ).
fof(f869,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,X0,e_4)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f290,f29]) ).
fof(f870,plain,
( ~ sQ36_spl
| ~ sQ4_spl
| ~ sQ63_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f860,f851]) ).
fof(f871,plain,
( ~ sQ20_spl
| ~ sQ4_spl
| ~ sQ63_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f860,f546]) ).
fof(f873,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f860,f54]) ).
fof(f874,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f860,f52]) ).
fof(f875,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f860,f50]) ).
fof(f876,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ63_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f860,f56]) ).
fof(f877,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ63_spl
| ~ product(e_3,e_1,X0)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f860,f31]) ).
fof(f878,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ63_spl
| ~ product(e_3,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f860,f29]) ).
fof(f879,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ63_spl
| ~ product(e_3,X0,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f860,f29]) ).
fof(f880,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ63_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)],[f60,f876]) ).
fof(f881,plain,
( ~ sQ4_spl
| ~ sQ63_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)],[f880,f35]) ).
fof(f883,plain,
( ~ sQ4_spl
| ~ sQ63_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)],[f880,f33]) ).
fof(f885,plain,
( ~ sQ4_spl
| ~ sQ63_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f881,f244,f247,f250,f289,f86]) ).
fof(f887,plain,
( ~ sQ4_spl
| ~ sQ63_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f883,f270,f273,f276,f289,f86]) ).
fof(f897,plain,
( ~ sQ63_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f866,f290]) ).
fof(f898,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f868,f100]) ).
fof(f901,plain,
( ~ sQ40_spl
| ~ sQ8_spl
| ~ sQ63_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f862,f630]) ).
fof(f902,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| ~ sQ63_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f862,f498]) ).
fof(f904,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f862,f54]) ).
fof(f905,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f862,f52]) ).
fof(f906,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f862,f50]) ).
fof(f907,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ63_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f862,f56]) ).
fof(f908,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ63_spl
| ~ product(e_2,e_1,X0)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f862,f31]) ).
fof(f909,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ63_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f862,f29]) ).
fof(f910,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ63_spl
| ~ product(e_2,X0,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f862,f29]) ).
fof(f911,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ63_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)],[f60,f907]) ).
fof(f912,plain,
( ~ sQ8_spl
| ~ sQ63_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)],[f911,f35]) ).
fof(f913,plain,
( ~ sQ8_spl
| ~ sQ63_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)],[f911,f34]) ).
fof(f916,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f912,f244,f247,f250,f289,f99]) ).
fof(f917,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f913,f257,f260,f263,f289,f99]) ).
fof(f928,plain,
( ~ sQ31_spl
| ~ sQ62_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f287,f396]) ).
fof(f929,plain,
( ~ sQ20_spl
| ~ sQ62_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f287,f549]) ).
fof(f930,plain,
( ~ sQ20_spl
| ~ sQ62_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f287,f548]) ).
fof(f932,plain,
( ~ sQ24_spl
| ~ sQ62_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f287,f500]) ).
fof(f933,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f287,f54]) ).
fof(f934,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f287,f52]) ).
fof(f935,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f287,f50]) ).
fof(f936,plain,
! [X0] :
( ~ sQ62_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f287,f56]) ).
fof(f937,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,e_1,X0)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f287,f31]) ).
fof(f938,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f287,f29]) ).
fof(f939,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,X0,e_3)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f287,f29]) ).
fof(f946,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f930,f54]) ).
fof(f955,plain,
( ~ sQ40_spl
| ~ sQ24_spl
| ~ sQ62_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f932,f630]) ).
fof(f957,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f932,f54]) ).
fof(f958,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f932,f52]) ).
fof(f959,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f932,f50]) ).
fof(f960,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ62_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f932,f56]) ).
fof(f961,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ62_spl
| ~ product(e_2,e_1,X0)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f932,f31]) ).
fof(f962,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ62_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f932,f29]) ).
fof(f963,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ62_spl
| ~ product(e_2,X0,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f932,f29]) ).
fof(f964,plain,
( ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ62_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f946,f178]) ).
fof(f965,plain,
( ~ sQ20_spl
| ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f946,f930]) ).
fof(f966,plain,
( ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f964,f45]) ).
fof(f967,plain,
( ~ sQ31_spl
| ~ sQ20_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( ~ sQ24_spl
| ~ sQ62_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f938,f156]) ).
fof(f970,plain,
( ~ sQ47_spl
| ~ sQ24_spl
| ~ sQ62_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f957,f234]) ).
fof(f971,plain,
( ~ sQ24_spl
| ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f957,f932]) ).
fof(f972,plain,
( ~ sQ47_spl
| ~ sQ24_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f970,f45]) ).
fof(f973,plain,
( ~ sQ47_spl
| ~ sQ24_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f972]) ).
fof(f974,plain,
( ~ sQ62_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f936,f287]) ).
fof(f975,plain,
( ~ sQ62_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f974,f937]) ).
fof(f977,plain,
( ~ sQ62_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f974,f939]) ).
fof(f978,plain,
( ~ sQ36_spl
| ~ sQ62_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f974,f851]) ).
fof(f979,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f974,f54]) ).
fof(f980,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f974,f52]) ).
fof(f981,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f974,f50]) ).
fof(f982,plain,
! [X0] :
( ~ sQ62_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f974,f56]) ).
fof(f983,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_3,e_1,X0)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f974,f31]) ).
fof(f984,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_3,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f974,f29]) ).
fof(f985,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_3,X0,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f974,f29]) ).
fof(f986,plain,
( ~ sQ62_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f975,f142,f286]) ).
fof(f987,plain,
! [X0] :
( ~ sQ62_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)],[f60,f982]) ).
fof(f988,plain,
( ~ sQ47_spl
| ~ sQ61_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f284,f555]) ).
fof(f989,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f284,f854]) ).
fof(f990,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f284,f853]) ).
fof(f992,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f284,f632]) ).
fof(f993,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f284,f54]) ).
fof(f994,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f284,f52]) ).
fof(f995,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f284,f50]) ).
fof(f996,plain,
! [X0] :
( ~ sQ61_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f284,f56]) ).
fof(f997,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_1,e_1,X0)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f284,f31]) ).
fof(f998,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_1,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f284,f29]) ).
fof(f999,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_1,X0,e_2)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f284,f29]) ).
fof(f1000,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f281,f54]) ).
fof(f1001,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f281,f52]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f281,f50]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(e_1,e_1,X0)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f281,f31]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(e_1,X0,e_1)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f281,f29]) ).
fof(f1010,plain,
( ~ sQ31_spl
| ~ sQ59_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f277,f395]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f277,f54]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f277,f52]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f277,f50]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ59_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f277,f56]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_1,e_2,X0)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f277,f31]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_1,X0,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f277,f29]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_1,X0,e_4)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f277,f29]) ).
fof(f1018,plain,
( ~ sQ27_spl
| ~ sQ58_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f274,f450]) ).
fof(f1019,plain,
( ~ sQ20_spl
| ~ sQ58_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f274,f548]) ).
fof(f1020,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f274,f54]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f274,f52]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f274,f50]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ58_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f274,f56]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_1,e_2,X0)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f274,f31]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f274,f29]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_1,X0,e_3)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f274,f29]) ).
fof(f1027,plain,
( ~ sQ40_spl
| ~ sQ57_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f271,f631]) ).
fof(f1028,plain,
( ~ sQ36_spl
| ~ sQ57_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f271,f854]) ).
fof(f1029,plain,
( ~ sQ36_spl
| ~ sQ57_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f271,f853]) ).
fof(f1030,plain,
( ~ sQ40_spl
| ~ sQ57_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f271,f633]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f271,f54]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f271,f52]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f271,f50]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ57_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f271,f56]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_1,e_2,X0)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f271,f31]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_1,X0,e_2)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f271,f29]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_1,X0,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f271,f29]) ).
fof(f1039,plain,
( ~ sQ36_spl
| ~ sQ57_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1028,f201,f270,f198]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ57_spl
| product(e_4,X0,e_2)
| product(e_3,X0,e_2)
| product(e_1,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f59,f1035]) ).
fof(f1042,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f856,f270,f198,f155]) ).
fof(f1043,plain,
( ~ sQ40_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f779,f270,f211]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f268,f54]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f268,f52]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f268,f50]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ56_spl
| product(e_1,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f268,f56]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_1,e_2,X0)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f268,f31]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_1,X0,e_1)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f268,f29]) ).
fof(f1052,plain,
( ~ sQ56_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f268,f29]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_1,X0,e_1)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f268,f29]) ).
fof(f1054,plain,
( ~ sQ47_spl
| ~ sQ55_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f264,f554]) ).
fof(f1055,plain,
( ~ sQ31_spl
| ~ sQ55_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f264,f395]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f264,f54]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f264,f52]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f264,f50]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ55_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f264,f56]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_1,e_3,X0)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f264,f31]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_1,X0,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f264,f29]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_1,X0,e_4)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f264,f29]) ).
fof(f1063,plain,
( ~ sQ20_spl
| ~ sQ54_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f261,f547]) ).
fof(f1064,plain,
( ~ sQ23_spl
| ~ sQ54_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f261,f508]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f261,f54]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f261,f52]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f261,f50]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ54_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f261,f56]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_1,e_3,X0)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f261,f31]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f261,f29]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_1,X0,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f261,f29]) ).
fof(f1073,plain,
( ~ sQ20_spl
| ~ sQ54_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1063,f286,f260,f142]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ54_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)],[f58,f1069]) ).
fof(f1075,plain,
( ~ sQ20_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f705,f260,f142]) ).
fof(f1078,plain,
( sQ41_spl
| ~ sQ40_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f1030]) ).
fof(f1079,plain,
( sQ41_spl
| ~ sQ40_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( ~ sQ26_spl
| ~ sQ22_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f530,f204,f148,f161]) ).
fof(f1083,plain,
( ~ sQ40_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f37]) ).
fof(f1084,plain,
( ~ sQ40_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1083]) ).
fof(f1085,plain,
( ~ sQ30_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f409,f148,f174]) ).
fof(f1086,plain,
( ~ sQ56_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1052,f211,f267]) ).
fof(f1089,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f793,f161,f204,f148]) ).
fof(f1091,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f502,f260,f155,f161]) ).
fof(f1092,plain,
( ~ sQ39_spl
| ~ sQ53_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f258,f787]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f258,f54]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f258,f52]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f258,f50]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ53_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f258,f56]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_1,e_3,X0)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f258,f31]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_1,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f258,f29]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_1,X0,e_2)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f258,f29]) ).
fof(f1100,plain,
( ~ sQ57_spl
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1040,f35]) ).
fof(f1101,plain,
( ~ sQ57_spl
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1040,f34]) ).
fof(f1102,plain,
( ~ sQ57_spl
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f1040,f33]) ).
fof(f1103,plain,
( ~ sQ57_spl
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f1040,f32]) ).
fof(f1104,plain,
( ~ sQ57_spl
| sQ35_spl
| sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1100,f185,f191,f194,f270]) ).
fof(f1105,plain,
( ~ sQ57_spl
| sQ39_spl
| sQ38_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1101,f198,f204,f207,f270]) ).
fof(f1106,plain,
( ~ sQ57_spl
| sQ43_spl
| sQ42_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1102,f211,f217,f220,f270]) ).
fof(f1107,plain,
( ~ sQ57_spl
| sQ47_spl
| sQ46_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1103,f224,f230,f233,f270]) ).
fof(f1124,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f997,f281]) ).
fof(f1125,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f1124,f997]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1124,f54]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1124,f52]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1124,f50]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1124,f56]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_spl
| ~ product(e_2,e_1,X0)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1124,f31]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1124,f29]) ).
fof(f1132,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_spl
| ~ product(e_2,X0,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1124,f29]) ).
fof(f1133,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1125,f211,f280,f283]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_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)],[f60,f1129]) ).
fof(f1135,plain,
( ~ sQ63_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f897,f112,f289]) ).
fof(f1136,plain,
( ~ sQ24_spl
| ~ sQ44_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f582,f286,f224,f155]) ).
fof(f1146,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1014,f208]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1146,f54]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1146,f52]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1146,f50]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ59_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1146,f56]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ59_spl
| ~ product(e_4,e_3,X0)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1146,f31]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ59_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1146,f29]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ59_spl
| ~ product(e_4,X0,e_1)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1146,f29]) ).
fof(f1155,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1017,f1146]) ).
fof(f1156,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1147,f1146]) ).
fof(f1157,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1148,f1146]) ).
fof(f1158,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1149,f1146]) ).
fof(f1159,plain,
( ~ sQ23_spl
| ~ sQ55_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1059,f152]) ).
fof(f1160,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| ~ sQ55_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f1060,f1146]) ).
fof(f1161,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| ~ sQ55_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f1061,f1146]) ).
fof(f1162,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| ~ sQ55_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1062,f1146]) ).
fof(f1163,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| ~ sQ55_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1162,f142,f263,f276,f207]) ).
fof(f1164,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f554,f277]) ).
fof(f1165,plain,
( ~ sQ58_spl
| ~ sQ24_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f499,f274]) ).
fof(f1166,plain,
( ~ sQ58_spl
| ~ sQ24_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1165,f286,f155,f273]) ).
fof(f1168,plain,
( ~ sQ54_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)],[f1074,f35]) ).
fof(f1169,plain,
( ~ sQ54_spl
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1074,f34]) ).
fof(f1170,plain,
( ~ sQ54_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)],[f1074,f33]) ).
fof(f1171,plain,
( ~ sQ54_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)],[f1074,f32]) ).
fof(f1172,plain,
( ~ sQ54_spl
| sQ19_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1168,f129,f132,f138,f260]) ).
fof(f1173,plain,
( ~ sQ54_spl
| sQ23_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1169,f142,f145,f151,f260]) ).
fof(f1174,plain,
( ~ sQ54_spl
| sQ27_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1170,f155,f158,f164,f260]) ).
fof(f1175,plain,
( ~ sQ54_spl
| sQ31_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f1171,f168,f171,f177,f260]) ).
fof(f1184,plain,
( ~ sQ39_spl
| ~ sQ43_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f597,f208]) ).
fof(f1185,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f996,f258]) ).
fof(f1186,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1185,f198,f283,f257]) ).
fof(f1187,plain,
( ~ sQ37_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f827,f145,f201]) ).
fof(f1188,plain,
( ~ sQ23_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f841,f46]) ).
fof(f1189,plain,
( ~ sQ23_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1188]) ).
fof(f1192,plain,
( ~ sQ62_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)],[f987,f35]) ).
fof(f1193,plain,
( ~ sQ62_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)],[f987,f34]) ).
fof(f1194,plain,
( ~ sQ62_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)],[f987,f33]) ).
fof(f1196,plain,
( ~ sQ62_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1192,f244,f247,f250,f286]) ).
fof(f1197,plain,
( ~ sQ62_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f1193,f257,f260,f263,f286]) ).
fof(f1198,plain,
( ~ sQ62_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f1194,f270,f273,f276,f286]) ).
fof(f1200,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f694,f273,f161,f155]) ).
fof(f1201,plain,
( ~ sQ24_spl
| ~ sQ42_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f601,f273,f217,f155]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f465,f54]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f465,f52]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f465,f50]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_3,e_3,X0)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f465,f31]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_3,X0,e_3)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f465,f29]) ).
fof(f1243,plain,
( ~ sQ26_spl
| ~ sQ54_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1069,f465]) ).
fof(f1244,plain,
( ~ sQ26_spl
| ~ sQ38_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f798,f465]) ).
fof(f1245,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| ~ sQ38_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f800,f605]) ).
fof(f1246,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| ~ sQ38_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f801,f605]) ).
fof(f1247,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| ~ sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1246,f201,f204,f217,f145]) ).
fof(f1248,plain,
( ~ sQ36_spl
| ~ sQ62_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f978,f283,f286,f198]) ).
fof(f1250,plain,
( ~ sQ20_spl
| ~ sQ58_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1019,f155,f273,f142]) ).
fof(f1251,plain,
( ~ sQ8_spl
| ~ sQ44_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f583,f289,f224,f99]) ).
fof(f1252,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| ~ sQ55_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1161,f151,f263,f276,f207]) ).
fof(f1253,plain,
( ~ sQ43_spl
| ~ sQ29_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f690,f47]) ).
fof(f1254,plain,
( ~ sQ43_spl
| ~ sQ29_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1253]) ).
fof(f1263,plain,
( ~ sQ58_spl
| ~ sQ62_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f974,f1025]) ).
fof(f1264,plain,
( ~ sQ54_spl
| ~ sQ62_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f974,f1072]) ).
fof(f1265,plain,
( ~ sQ54_spl
| ~ sQ62_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f974,f1071]) ).
fof(f1273,plain,
( ~ sQ58_spl
| ~ sQ62_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1263,f230,f286,f273]) ).
fof(f1274,plain,
( ~ sQ54_spl
| ~ sQ62_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1265,f174,f286,f260]) ).
fof(f1275,plain,
( ~ sQ8_spl
| ~ sQ43_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f592,f276,f220,f99]) ).
fof(f1276,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f898,f276,f289,f99]) ).
fof(f1278,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1155,f155,f276,f207]) ).
fof(f1279,plain,
( ~ sQ20_spl
| ~ sQ38_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f792,f273,f204,f142]) ).
fof(f1280,plain,
( ~ sQ8_spl
| ~ sQ27_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f445,f263,f164,f99]) ).
fof(f1281,plain,
( ~ sQ8_spl
| ~ sQ36_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f847,f263,f198,f99]) ).
fof(f1282,plain,
( ~ sQ30_spl
| ~ sQ26_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f467,f230,f161,f174]) ).
fof(f1284,plain,
( ~ sQ30_spl
| ~ sQ26_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f469,f273,f161,f174]) ).
fof(f1286,plain,
( ~ sQ26_spl
| ~ sQ38_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1244,f145,f204,f161]) ).
fof(f1287,plain,
( ~ sQ62_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f977,f280,f286]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1159,f54]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1159,f52]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1159,f50]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1159,f56]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| ~ product(e_4,e_3,X0)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1159,f31]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1159,f29]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ55_spl
| ~ product(e_4,X0,e_1)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1159,f29]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f992,f54]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f992,f52]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f992,f50]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f992,f56]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ product(e_2,e_1,X0)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f992,f31]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f992,f29]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ product(e_2,X0,e_1)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f992,f29]) ).
fof(f1304,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1126,f992]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f255,f54]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f255,f52]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f255,f50]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ52_spl
| product(e_1,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f255,f56]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(e_1,e_3,X0)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f255,f31]) ).
fof(f1310,plain,
( ~ sQ52_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f255,f29]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(e_1,X0,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f255,f29]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(e_1,X0,e_1)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f255,f29]) ).
fof(f1314,plain,
( ~ sQ52_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1310,f142,f254]) ).
fof(f1316,plain,
( ~ sQ40_spl
| ~ sQ57_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1027,f283,f270,f211]) ).
fof(f1317,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f419,f204,f171,f174]) ).
fof(f1318,plain,
( ~ sQ30_spl
| ~ sQ46_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f559,f161,f230,f174]) ).
fof(f1319,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f37]) ).
fof(f1320,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1319]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f74,f54]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f74,f52]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f74,f50]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ0_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f74,f56]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_4,e_4,X0)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f74,f31]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_4,X0,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_4,X0,e_1)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f74,f29]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f130,f54]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f130,f52]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f130,f50]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ16_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f130,f56]) ).
fof(f1333,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(e_3,e_4,X0)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f130,f31]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(e_3,X0,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f130,f29]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(e_3,X0,e_1)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f130,f29]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f186,f54]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f186,f52]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f186,f50]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ32_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f186,f56]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_2,e_4,X0)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f186,f31]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_2,X0,e_1)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f186,f29]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_2,X0,e_1)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f186,f29]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f245,f54]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f245,f52]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f245,f50]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ49_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f245,f56]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_1,e_4,X0)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f245,f31]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_1,X0,e_2)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f245,f29]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_1,X0,e_2)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f245,f29]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f248,f54]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f248,f52]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f248,f50]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ50_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f248,f56]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_1,e_4,X0)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f248,f31]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f248,f29]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(e_1,X0,e_3)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f248,f29]) ).
fof(f1357,plain,
( ~ sQ39_spl
| ~ sQ5_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f90,f787]) ).
fof(f1358,plain,
( ~ sQ39_spl
| ~ sQ5_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f90,f788]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f90,f54]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f90,f52]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f90,f50]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ5_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f90,f56]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(e_4,e_3,X0)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f90,f31]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(e_4,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f90,f29]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ5_spl
| ~ product(e_4,X0,e_2)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f90,f29]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f93,f54]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f93,f52]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f93,f50]) ).
fof(f1369,plain,
! [X0] :
( ~ sQ6_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f93,f56]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_4,e_3,X0)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f93,f31]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_4,X0,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f93,f29]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_4,X0,e_3)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f93,f29]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1264,f54]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1264,f52]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1264,f50]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ62_spl
| product(e_1,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1264,f56]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ62_spl
| ~ product(e_1,e_3,X0)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1264,f31]) ).
fof(f1402,plain,
( ~ sQ54_spl
| ~ sQ62_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1264,f29]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ62_spl
| ~ product(e_1,X0,e_1)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1264,f29]) ).
fof(f1404,plain,
( ~ sQ54_spl
| ~ sQ62_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1264,f29]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ62_spl
| ~ product(e_1,X0,e_1)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1264,f29]) ).
fof(f1413,plain,
( ~ sQ39_spl
| ~ sQ5_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1357,f788]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1357,f54]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1357,f52]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1357,f50]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1357,f56]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| ~ product(e_4,e_4,X0)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1357,f31]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| ~ product(e_4,X0,e_2)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1357,f29]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| ~ product(e_4,X0,e_2)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1357,f29]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1358,f54]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1358,f52]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1358,f50]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1358,f56]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| ~ product(e_3,e_3,X0)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1358,f31]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| ~ product(e_3,X0,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1358,f29]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ5_spl
| ~ product(e_3,X0,e_4)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1358,f29]) ).
fof(f1429,plain,
( ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f981,f974]) ).
fof(f1430,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f789,f90]) ).
fof(f1432,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1430,f145,f207,f89]) ).
fof(f1433,plain,
( ~ sQ47_spl
| ~ sQ55_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1054,f89,f263,f233]) ).
fof(f1434,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f790,f89,f207,f151]) ).
fof(f1435,plain,
( ~ sQ39_spl
| ~ sQ43_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1184,f89,f220,f207]) ).
fof(f1436,plain,
( ~ sQ24_spl
| ~ sQ62_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f969,f273,f286,f155]) ).
fof(f1438,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f706,f273,f142,f155]) ).
fof(f1439,plain,
( ~ sQ6_spl
| ~ sQ22_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f523,f93]) ).
fof(f1440,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1004,f974]) ).
fof(f1441,plain,
( ~ sQ62_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f980,f974]) ).
fof(f1442,plain,
( ~ sQ16_spl
| ~ sQ62_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f980,f130]) ).
fof(f1443,plain,
( ~ sQ16_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1442,f45]) ).
fof(f1444,plain,
( ~ sQ16_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1443]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ6_spl
| product(e_4,X0,e_3)
| product(e_2,X0,e_3)
| product(e_1,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f1369]) ).
fof(f1446,plain,
( ~ sQ22_spl
| ~ sQ30_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f780,f260,f174,f148]) ).
fof(f1449,plain,
( ~ sQ30_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f405,f286,f174]) ).
fof(f1451,plain,
( ~ sQ4_spl
| ~ sQ63_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f859,f263,f289,f86]) ).
fof(f1452,plain,
( ~ sQ4_spl
| ~ sQ24_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f494,f276,f155,f86]) ).
fof(f1454,plain,
( sQ38_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f206,f539]) ).
fof(f1455,plain,
( sQ38_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1454]) ).
fof(f1457,plain,
( ~ sQ26_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f465,f148,f161]) ).
fof(f1459,plain,
( ~ sQ21_spl
| ~ sQ42_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f605,f158,f217,f145]) ).
fof(f1460,plain,
( ~ sQ6_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)],[f1445,f35]) ).
fof(f1461,plain,
( ~ sQ6_spl
| product(e_4,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1445,f34]) ).
fof(f1462,plain,
( ~ sQ6_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)],[f1445,f33]) ).
fof(f1463,plain,
( ~ sQ6_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)],[f1445,f32]) ).
fof(f1464,plain,
( ~ sQ6_spl
| sQ19_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1460,f129,f132,f138,f92]) ).
fof(f1465,plain,
( ~ sQ6_spl
| sQ23_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1461,f142,f145,f151,f92]) ).
fof(f1466,plain,
( ~ sQ6_spl
| sQ27_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1462,f155,f158,f164,f92]) ).
fof(f1467,plain,
( ~ sQ6_spl
| sQ31_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f1463,f168,f171,f177,f92]) ).
fof(f1470,plain,
( ~ sQ8_spl
| ~ sQ63_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)],[f911,f33]) ).
fof(f1474,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f1470,f270,f273,f276,f289,f99]) ).
fof(f1484,plain,
( ~ sQ60_spl
| ~ sQ8_spl
| ~ sQ63_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f862,f1004]) ).
fof(f1492,plain,
( ~ sQ60_spl
| ~ sQ8_spl
| ~ sQ63_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1484,f267,f289,f99,f280]) ).
fof(f1500,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f990,f54]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f990,f52]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f990,f50]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f990,f56]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| ~ product(e_3,e_1,X0)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f990,f31]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| ~ product(e_3,X0,e_1)
| product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f990,f29]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| ~ product(e_3,X0,e_1)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f990,f29]) ).
fof(f1507,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f904,f862]) ).
fof(f1509,plain,
( ~ sQ32_spl
| ~ sQ8_spl
| ~ sQ63_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f905,f186]) ).
fof(f1510,plain,
( ~ sQ32_spl
| ~ sQ8_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1509,f45]) ).
fof(f1511,plain,
( ~ sQ32_spl
| ~ sQ8_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1510]) ).
fof(f1512,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| ~ sQ8_spl
| ~ sQ63_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f906,f990]) ).
fof(f1513,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f906,f862]) ).
fof(f1514,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| ~ sQ8_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1512,f43]) ).
fof(f1515,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| ~ sQ8_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1514]) ).
fof(f1516,plain,
( ~ sQ6_spl
| ~ sQ23_spl
| ~ sQ55_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1290,f93]) ).
fof(f1517,plain,
( ~ sQ23_spl
| ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1290,f1159]) ).
fof(f1518,plain,
( ~ sQ6_spl
| ~ sQ23_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1516,f42]) ).
fof(f1519,plain,
( ~ sQ6_spl
| ~ sQ23_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1518]) ).
fof(f1520,plain,
( ~ sQ31_spl
| ~ sQ55_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1055,f92,f263,f177]) ).
fof(f1529,plain,
( ~ sQ0_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1325,f74]) ).
fof(f1530,plain,
( ~ sQ0_spl
| ~ sQ49_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1347,f74]) ).
fof(f1531,plain,
( ~ sQ0_spl
| ~ sQ49_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1530,f185,f244,f73]) ).
fof(f1532,plain,
( ~ sQ50_spl
| ~ sQ16_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f1333,f248]) ).
fof(f1533,plain,
( ~ sQ50_spl
| ~ sQ16_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1532,f286,f129,f247]) ).
fof(f1534,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| ~ sQ53_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1098,f862]) ).
fof(f1535,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| ~ sQ53_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1534,f171,f257,f289,f99]) ).
fof(f1536,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| ~ sQ53_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1099,f862]) ).
fof(f1537,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| ~ sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1536,f254,f257,f289,f99]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f989,f54]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f989,f52]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f989,f50]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f989,f56]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| ~ product(e_1,e_3,X0)
| product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f989,f31]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| ~ product(e_1,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f989,f29]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ61_spl
| ~ product(e_1,X0,e_2)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f989,f29]) ).
fof(f1553,plain,
( ~ sQ58_spl
| ~ sQ36_spl
| ~ sQ61_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f990,f1025]) ).
fof(f1554,plain,
( ~ sQ58_spl
| ~ sQ36_spl
| ~ sQ61_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f990,f1026]) ).
fof(f1562,plain,
( ~ sQ58_spl
| ~ sQ36_spl
| ~ sQ61_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1553,f230,f283,f198,f273]) ).
fof(f1563,plain,
( ~ sQ58_spl
| ~ sQ36_spl
| ~ sQ61_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1554,f267,f283,f198,f273]) ).
fof(f1573,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f96,f1363]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f96,f54]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f96,f52]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f96,f50]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ7_spl
| product(e_4,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f96,f56]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_4,e_3,X0)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f96,f31]) ).
fof(f1579,plain,
( ~ sQ7_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f96,f29]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_4,X0,e_4)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f96,f29]) ).
fof(f1582,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_4,X0,e_4)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f96,f29]) ).
fof(f1583,plain,
( ~ sQ7_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1579,f151,f95]) ).
fof(f1585,plain,
( ~ sQ4_spl
| ~ sQ23_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f503,f263,f151,f86]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| product(e_4,X0,e_1)
| product(e_3,X0,e_1)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f60,f1302]) ).
fof(f1588,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f562,f171,f230,f145]) ).
fof(f1589,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f561,f260,f230,f145]) ).
fof(f1590,plain,
( ~ sQ47_spl
| ~ sQ9_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f103,f557]) ).
fof(f1591,plain,
( ~ sQ47_spl
| ~ sQ9_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f103,f556]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f103,f54]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f103,f52]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f103,f50]) ).
fof(f1595,plain,
! [X0] :
( ~ sQ9_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f103,f56]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(e_4,e_2,X0)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f103,f31]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(e_4,X0,e_2)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f103,f29]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(e_4,X0,e_2)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f103,f29]) ).
fof(f1599,plain,
( ~ sQ47_spl
| ~ sQ9_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1591,f276,f102,f233]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f106,f54]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f106,f52]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f50]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ10_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f56]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_4,e_2,X0)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f106,f31]) ).
fof(f1605,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_4,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_4,X0,e_3)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f106,f29]) ).
fof(f1607,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f109,f54]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f109,f52]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f109,f50]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ11_spl
| product(e_4,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f109,f56]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_4,e_2,X0)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f109,f31]) ).
fof(f1612,plain,
( ~ sQ11_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f109,f29]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_4,X0,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f109,f29]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_4,X0,e_4)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f109,f29]) ).
fof(f1616,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f116,f555]) ).
fof(f1617,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f116,f557]) ).
fof(f1618,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f116,f556]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f116,f54]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f116,f52]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f116,f50]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ13_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f116,f56]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(e_4,e_1,X0)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f116,f31]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(e_4,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f116,f29]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(e_4,X0,e_2)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f116,f29]) ).
fof(f1626,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1618,f289,f115,f233]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ4_spl
| ~ sQ63_spl
| product(e_4,X0,e_1)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1587,f876]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f119,f54]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f119,f52]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f119,f50]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ14_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f119,f56]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(e_4,e_1,X0)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f119,f31]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(e_4,X0,e_3)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f119,f29]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(e_4,X0,e_3)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f119,f29]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f122,f54]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f122,f52]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f122,f50]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ15_spl
| product(e_4,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f122,f56]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_4,e_1,X0)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f122,f31]) ).
fof(f1641,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_4,X0,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f122,f29]) ).
fof(f1642,plain,
( ~ sQ15_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f122,f29]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_4,X0,e_4)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f122,f29]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1612,f54]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1612,f52]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1612,f50]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ11_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1612,f56]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_2,e_2,X0)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1612,f31]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_2,X0,e_4)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1612,f29]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_2,X0,e_4)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1612,f29]) ).
fof(f1683,plain,
( ~ sQ47_spl
| ~ sQ61_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f988,f555]) ).
fof(f1685,plain,
( ~ sQ47_spl
| ~ sQ61_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f988,f556]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f988,f54]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f988,f52]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f988,f50]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ61_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f988,f56]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ61_spl
| ~ product(e_4,e_1,X0)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f988,f31]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ61_spl
| ~ product(e_4,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f988,f29]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ61_spl
| ~ product(e_4,X0,e_2)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f988,f29]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f846,f54]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f846,f52]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f846,f50]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ36_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f846,f56]) ).
fof(f1697,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ36_spl
| ~ product(e_1,e_3,X0)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f846,f31]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ36_spl
| ~ product(e_1,X0,e_3)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f846,f29]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ36_spl
| ~ product(e_1,X0,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f846,f29]) ).
fof(f1707,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| ~ sQ38_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f799,f989]) ).
fof(f1708,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| ~ sQ38_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1707,f171,f204,f283,f198]) ).
fof(f1709,plain,
( ~ sQ29_spl
| ~ sQ21_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f540,f230,f145,f171]) ).
fof(f1710,plain,
( sQ54_spl
| ~ sQ24_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f846]) ).
fof(f1711,plain,
( sQ54_spl
| ~ sQ24_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1710]) ).
fof(f1712,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1617,f283,f115,f233]) ).
fof(f1713,plain,
( sQ13_spl
| ~ sQ47_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f857]) ).
fof(f1714,plain,
( sQ13_spl
| ~ sQ47_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1713]) ).
fof(f1715,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f741,f102,f233,f227]) ).
fof(f1716,plain,
( ~ sQ45_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f580,f283,f227]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ63_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)],[f60,f876]) ).
fof(f1727,plain,
( ~ sQ47_spl
| ~ sQ15_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1642,f554]) ).
fof(f1728,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1642,f54]) ).
fof(f1729,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1642,f52]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1642,f50]) ).
fof(f1731,plain,
! [X0] :
( ~ sQ15_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1642,f56]) ).
fof(f1732,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_1,e_1,X0)
| product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1642,f31]) ).
fof(f1733,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_1,X0,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1642,f29]) ).
fof(f1734,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_1,X0,e_4)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1642,f29]) ).
fof(f1735,plain,
( ~ sQ47_spl
| ~ sQ63_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f857,f555]) ).
fof(f1736,plain,
( ~ sQ47_spl
| ~ sQ63_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f857,f557]) ).
fof(f1737,plain,
( ~ sQ47_spl
| ~ sQ63_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f857,f556]) ).
fof(f1738,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ63_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f857,f54]) ).
fof(f1739,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f857,f52]) ).
fof(f1740,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f857,f50]) ).
fof(f1741,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ63_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f857,f56]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ63_spl
| ~ product(e_4,e_1,X0)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f857,f31]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ63_spl
| ~ product(e_4,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f857,f29]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ63_spl
| ~ product(e_4,X0,e_2)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f857,f29]) ).
fof(f1759,plain,
( ~ sQ4_spl
| ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f873,f860]) ).
fof(f1761,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ4_spl
| ~ sQ63_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f875,f992]) ).
fof(f1762,plain,
( ~ sQ4_spl
| ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f875,f860]) ).
fof(f1763,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ4_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1761,f40]) ).
fof(f1764,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ4_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1763]) ).
fof(f1765,plain,
( ~ sQ47_spl
| ~ sQ15_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1727,f115,f121,f233]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| product(e_4,X0,e_1)
| product(e_3,X0,e_1)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f60,f1300]) ).
fof(f1767,plain,
( ~ sQ47_spl
| ~ sQ61_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f988,f115,f283,f233]) ).
fof(f1768,plain,
( sQ63_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f291,f1642]) ).
fof(f1769,plain,
( sQ63_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1768]) ).
fof(f1770,plain,
( ~ sQ23_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f511,f92,f151]) ).
fof(f1772,plain,
( ~ sQ40_spl
| ~ sQ61_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)],[f1766,f35]) ).
fof(f1773,plain,
( ~ sQ40_spl
| ~ sQ61_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)],[f1766,f34]) ).
fof(f1776,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1772,f244,f247,f250,f283,f211]) ).
fof(f1777,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f1773,f257,f260,f263,f283,f211]) ).
fof(f1780,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1587,f35]) ).
fof(f1781,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1587,f34]) ).
fof(f1782,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1587,f33]) ).
fof(f1783,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f1587,f32]) ).
fof(f1784,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| sQ51_spl
| sQ50_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f1780,f241,f247,f250,f283,f211]) ).
fof(f1785,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| sQ55_spl
| sQ54_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1781,f254,f260,f263,f283,f211]) ).
fof(f1786,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| sQ59_spl
| sQ58_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1782,f267,f273,f276,f283,f211]) ).
fof(f1787,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| sQ63_spl
| sQ62_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1783,f280,f286,f289,f283,f211]) ).
fof(f1795,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1678,f1612]) ).
fof(f1796,plain,
( ~ sQ11_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1678,f109]) ).
fof(f1797,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1796,f46]) ).
fof(f1798,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1797]) ).
fof(f1799,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1037,f992]) ).
fof(f1801,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1799,f54]) ).
fof(f1802,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1799,f52]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1799,f50]) ).
fof(f1804,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1799,f56]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl
| ~ product(e_2,e_1,X0)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1799,f31]) ).
fof(f1807,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl
| ~ product(e_2,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1799,f29]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl
| ~ product(e_2,X0,e_2)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1799,f29]) ).
fof(f1810,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1299,f992]) ).
fof(f1811,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1298,f992]) ).
fof(f1812,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1297,f1799]) ).
fof(f1813,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1297,f992]) ).
fof(f1814,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1812,f39]) ).
fof(f1815,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1814]) ).
fof(f1816,plain,
( ~ sQ26_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f461,f217,f161]) ).
fof(f1818,plain,
( ~ sQ4_spl
| ~ sQ28_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f420,f289,f168,f86]) ).
fof(f1855,plain,
( ~ sQ14_spl
| ~ sQ28_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f425,f119]) ).
fof(f1856,plain,
( ~ sQ14_spl
| ~ sQ50_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1353,f119]) ).
fof(f1857,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1353,f106]) ).
fof(f1858,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1857,f155,f247,f105]) ).
fof(f1859,plain,
( ~ sQ29_spl
| ~ sQ42_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f607,f230,f217,f171]) ).
fof(f1860,plain,
( ~ sQ29_spl
| ~ sQ42_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f608,f270,f217,f171]) ).
fof(f1869,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1164,f54]) ).
fof(f1870,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1164,f52]) ).
fof(f1871,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1164,f50]) ).
fof(f1872,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ47_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1164,f56]) ).
fof(f1873,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ47_spl
| ~ product(e_4,e_2,X0)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1164,f31]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ47_spl
| ~ product(e_4,X0,e_2)
| product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1164,f29]) ).
fof(f1875,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ47_spl
| ~ product(e_4,X0,e_2)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1164,f29]) ).
fof(f1876,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ47_spl
| product(e_4,X0,e_2)
| product(e_3,X0,e_2)
| product(e_1,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f59,f1872]) ).
fof(f1877,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1869,f1164]) ).
fof(f1879,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1871,f1164]) ).
fof(f1880,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| ~ sQ49_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f1346,f1164]) ).
fof(f1881,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| ~ sQ49_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1880,f211,f244,f233,f276]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f192,f54]) ).
fof(f1883,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f192,f52]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f192,f50]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ34_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f192,f56]) ).
fof(f1886,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_2,e_4,X0)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f192,f31]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_2,X0,e_3)
| product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f192,f29]) ).
fof(f1888,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_2,X0,e_3)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f192,f29]) ).
fof(f1889,plain,
( ~ sQ8_spl
| ~ sQ55_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f264,f380]) ).
fof(f1890,plain,
( ~ sQ8_spl
| ~ sQ55_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f264,f381]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f83,f54]) ).
fof(f1899,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f83,f52]) ).
fof(f1900,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f83,f50]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(e_4,e_4,X0)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f83,f31]) ).
fof(f1906,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(e_4,X0,e_4)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f83,f29]) ).
fof(f1907,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1876,f35]) ).
fof(f1908,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1876,f34]) ).
fof(f1909,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f1876,f33]) ).
fof(f1911,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| sQ35_spl
| sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1907,f185,f191,f194,f233,f276]) ).
fof(f1912,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| sQ39_spl
| sQ38_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1908,f198,f204,f207,f233,f276]) ).
fof(f1913,plain,
( ~ sQ59_spl
| ~ sQ47_spl
| sQ43_spl
| sQ42_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1909,f211,f217,f220,f233,f276]) ).
fof(f1915,plain,
! [X0] :
( ~ sQ9_spl
| product(e_4,X0,e_2)
| product(e_3,X0,e_2)
| product(e_1,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f59,f1595]) ).
fof(f1916,plain,
( ~ sQ9_spl
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1915,f35]) ).
fof(f1917,plain,
( ~ sQ9_spl
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1915,f34]) ).
fof(f1918,plain,
( ~ sQ9_spl
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f1915,f33]) ).
fof(f1919,plain,
( ~ sQ9_spl
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f1915,f32]) ).
fof(f1920,plain,
( ~ sQ9_spl
| sQ35_spl
| sQ34_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1916,f185,f191,f194,f102]) ).
fof(f1921,plain,
( ~ sQ9_spl
| sQ39_spl
| sQ38_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1917,f198,f204,f207,f102]) ).
fof(f1922,plain,
( ~ sQ9_spl
| sQ43_spl
| sQ42_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1918,f211,f217,f220,f102]) ).
fof(f1923,plain,
( ~ sQ9_spl
| sQ47_spl
| sQ46_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1919,f224,f230,f233,f102]) ).
fof(f1940,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1010,f54]) ).
fof(f1941,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1010,f52]) ).
fof(f1942,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1010,f50]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ59_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1010,f56]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ59_spl
| ~ product(e_4,e_2,X0)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1010,f31]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ59_spl
| ~ product(e_4,X0,e_3)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1010,f29]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ59_spl
| ~ product(e_4,X0,e_3)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1010,f29]) ).
fof(f1949,plain,
( ~ sQ31_spl
| ~ sQ59_spl
| ~ sQ50_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1353,f1010]) ).
fof(f1951,plain,
( ~ sQ31_spl
| ~ sQ59_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f398,f1010]) ).
fof(f1952,plain,
( ~ sQ31_spl
| ~ sQ59_spl
| ~ sQ24_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f499,f1010]) ).
fof(f1964,plain,
( ~ sQ10_spl
| ~ sQ59_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f277,f1604]) ).
fof(f1966,plain,
( ~ sQ4_spl
| ~ sQ59_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f277,f384]) ).
fof(f1967,plain,
( ~ sQ4_spl
| ~ sQ59_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f277,f385]) ).
fof(f1997,plain,
( ~ sQ32_spl
| ~ sQ17_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f133,f1340]) ).
fof(f1998,plain,
( ~ sQ46_spl
| ~ sQ17_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f133,f572]) ).
fof(f1999,plain,
( ~ sQ46_spl
| ~ sQ17_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f133,f571]) ).
fof(f2000,plain,
( ~ sQ53_spl
| ~ sQ17_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f133,f1096]) ).
fof(f2001,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f133,f54]) ).
fof(f2002,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f133,f52]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f133,f50]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ17_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f133,f56]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(e_3,e_4,X0)
| product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f133,f31]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(e_3,X0,e_2)
| product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f133,f29]) ).
fof(f2007,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(e_3,X0,e_2)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f133,f29]) ).
fof(f2008,plain,
( ~ sQ39_spl
| ~ sQ53_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f258,f787]) ).
fof(f2009,plain,
( ~ sQ13_spl
| ~ sQ53_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f258,f1622]) ).
fof(f2010,plain,
( ~ sQ32_spl
| ~ sQ53_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f258,f1342]) ).
fof(f2011,plain,
( ~ sQ32_spl
| ~ sQ53_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f258,f1341]) ).
fof(f2019,plain,
( ~ sQ46_spl
| ~ sQ50_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f248,f569]) ).
fof(f2020,plain,
( ~ sQ24_spl
| ~ sQ50_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f248,f501]) ).
fof(f2021,plain,
( ~ sQ24_spl
| ~ sQ50_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f248,f500]) ).
fof(f2029,plain,
( ~ sQ50_spl
| ~ sQ32_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f186,f1354]) ).
fof(f2030,plain,
( ~ sQ24_spl
| ~ sQ32_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f186,f498]) ).
fof(f2031,plain,
( ~ sQ53_spl
| ~ sQ32_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f186,f1099]) ).
fof(f2032,plain,
( ~ sQ53_spl
| ~ sQ32_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f186,f1098]) ).
fof(f2040,plain,
( ~ sQ53_spl
| ~ sQ4_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f87,f1097]) ).
fof(f2041,plain,
( ~ sQ32_spl
| ~ sQ4_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f87,f1339]) ).
fof(f2042,plain,
( ~ sQ59_spl
| ~ sQ4_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f87,f1017]) ).
fof(f2043,plain,
( ~ sQ59_spl
| ~ sQ4_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f87,f1016]) ).
fof(f2051,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f2005,f248]) ).
fof(f2052,plain,
( ~ sQ46_spl
| ~ sQ13_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f116,f570]) ).
fof(f2053,plain,
( ~ sQ17_spl
| ~ sQ13_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f116,f2004]) ).
fof(f2054,plain,
( ~ sQ39_spl
| ~ sQ13_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f116,f789]) ).
fof(f2055,plain,
( ~ sQ39_spl
| ~ sQ13_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f116,f788]) ).
fof(f2063,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f178,f1623]) ).
fof(f2064,plain,
( ~ sQ10_spl
| ~ sQ31_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f178,f1606]) ).
fof(f2065,plain,
( ~ sQ10_spl
| ~ sQ31_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f178,f1605]) ).
fof(f2066,plain,
( ~ sQ39_spl
| ~ sQ31_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f178,f786]) ).
fof(f2074,plain,
( ~ sQ59_spl
| ~ sQ24_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f156,f1015]) ).
fof(f2075,plain,
( ~ sQ4_spl
| ~ sQ24_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f156,f382]) ).
fof(f2076,plain,
( ~ sQ50_spl
| ~ sQ24_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f156,f1356]) ).
fof(f2077,plain,
( ~ sQ50_spl
| ~ sQ24_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f156,f1355]) ).
fof(f2085,plain,
( ~ sQ4_spl
| ~ sQ39_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f208,f383]) ).
fof(f2086,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f208,f1625]) ).
fof(f2087,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f208,f1624]) ).
fof(f2088,plain,
( ~ sQ59_spl
| ~ sQ39_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f208,f1014]) ).
fof(f2096,plain,
( ~ sQ31_spl
| ~ sQ46_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f396]) ).
fof(f2097,plain,
( ~ sQ17_spl
| ~ sQ46_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f231,f2007]) ).
fof(f2098,plain,
( ~ sQ17_spl
| ~ sQ46_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f231,f2006]) ).
fof(f2099,plain,
( ~ sQ10_spl
| ~ sQ46_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f231,f1603]) ).
fof(f2107,plain,
( ~ sQ59_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1011,f277]) ).
fof(f2108,plain,
( ~ sQ59_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1012,f277]) ).
fof(f2109,plain,
( ~ sQ59_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1013,f277]) ).
fof(f2110,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f519,f149]) ).
fof(f2111,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f520,f149]) ).
fof(f2112,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f521,f149]) ).
fof(f2113,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f616,f215]) ).
fof(f2114,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f617,f215]) ).
fof(f2115,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f618,f215]) ).
fof(f2116,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1000,f281]) ).
fof(f2117,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1001,f281]) ).
fof(f2118,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1002,f281]) ).
fof(f2119,plain,
( ~ sQ53_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1093,f258]) ).
fof(f2120,plain,
( ~ sQ53_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1094,f258]) ).
fof(f2121,plain,
( ~ sQ53_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1095,f258]) ).
fof(f2122,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1898,f83]) ).
fof(f2123,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1899,f83]) ).
fof(f2124,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1900,f83]) ).
fof(f2125,plain,
( ~ sQ50_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1350,f248]) ).
fof(f2126,plain,
( ~ sQ50_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1351,f248]) ).
fof(f2127,plain,
( ~ sQ50_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1352,f248]) ).
fof(f2128,plain,
( ~ sQ32_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1336,f186]) ).
fof(f2129,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1337,f186]) ).
fof(f2130,plain,
( ~ sQ32_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1338,f186]) ).
fof(f2131,plain,
( ~ sQ4_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f390,f87]) ).
fof(f2132,plain,
( ~ sQ4_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f388,f87]) ).
fof(f2133,plain,
( ~ sQ4_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f386,f87]) ).
fof(f2134,plain,
( ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1619,f116]) ).
fof(f2135,plain,
( ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1620,f116]) ).
fof(f2136,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1621,f116]) ).
fof(f2137,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f392,f178]) ).
fof(f2138,plain,
( ~ sQ31_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f393,f178]) ).
fof(f2139,plain,
( ~ sQ31_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f394,f178]) ).
fof(f2140,plain,
( ~ sQ24_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f495,f156]) ).
fof(f2141,plain,
( ~ sQ24_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f496,f156]) ).
fof(f2142,plain,
( ~ sQ24_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f497,f156]) ).
fof(f2143,plain,
( ~ sQ39_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f783,f208]) ).
fof(f2144,plain,
( ~ sQ39_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f784,f208]) ).
fof(f2145,plain,
( ~ sQ39_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f785,f208]) ).
fof(f2146,plain,
( ~ sQ31_spl
| ~ sQ59_spl
| ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1600,f1010]) ).
fof(f2148,plain,
( ~ sQ31_spl
| ~ sQ59_spl
| ~ sQ10_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1602,f1010]) ).
fof(f2149,plain,
( ~ sQ46_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f566,f231]) ).
fof(f2150,plain,
( ~ sQ46_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f567,f231]) ).
fof(f2151,plain,
( ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f568,f231]) ).
fof(f2152,plain,
( ~ sQ17_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2001,f133]) ).
fof(f2153,plain,
( ~ sQ17_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2002,f133]) ).
fof(f2154,plain,
( ~ sQ17_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2003,f133]) ).
fof(model,axiom,
( sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ15_spl
| ~ sQ16_spl
| sQ17_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| sQ31_spl
| sQ32_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| sQ39_spl
| ~ sQ40_spl
| sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| sQ50_spl
| ~ sQ52_spl
| sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ59_spl
| sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl
| ~ sQ63_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP130-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n011.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sun Sep 20 20:01:16 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.14/5.52 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/5.52 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/5.56 % Elapsed time: 0.179390 seconds
% 0.14/5.56 % CPU time: 1.183396 seconds
% 0.14/5.56 % Total memory used: 31.690 MB
% 0.14/5.56 % Net memory used: 30.834 MB
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