%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP133-1.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:36:02 PM UTC 2026
% Result : Satisfiable 1.12s 0.66s
% Output : Saturation 1.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,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(f18,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(Z1,Z2,X)
| ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f25,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f30,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f32,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f34,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f35,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f36,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f37,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f38,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)],[f17]) ).
fof(f39,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f41,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f43,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [X,Z1,Z2] :
( product(Z1,Z2,X)
| ! [Y] :
( ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( product(X2,X3,X0)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [X0] :
( product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f38,f25]) ).
fof(f48,plain,
! [X0] :
( product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f38,f24]) ).
fof(f49,plain,
! [X0] :
( product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f38,f23]) ).
fof(f50,plain,
! [X0] :
( product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f38,f22]) ).
fof(f51,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)],[f47,f25]) ).
fof(f52,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)],[f47,f24]) ).
fof(f53,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)],[f47,f23]) ).
fof(f54,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)],[f47,f22]) ).
fof(f55,definition,
( sQ0_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f56,plain,
( ~ sQ0_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f57,plain,
( sQ0_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,definition,
( sQ1_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( ~ sQ1_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f60,plain,
( sQ1_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,definition,
( sQ2_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f62,plain,
( ~ sQ2_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f63,plain,
( sQ2_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,definition,
( sQ3_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f65,plain,
( ~ sQ3_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f66,plain,
( sQ3_spl
| ~ product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f51,f55,f58,f61,f64]) ).
fof(f68,definition,
( sQ4_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f69,plain,
( ~ sQ4_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f70,plain,
( sQ4_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,definition,
( sQ5_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( ~ sQ5_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f73,plain,
( sQ5_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,definition,
( sQ6_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f75,plain,
( ~ sQ6_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f76,plain,
( sQ6_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,definition,
( sQ7_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ7_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f79,plain,
( sQ7_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f52,f68,f71,f74,f77]) ).
fof(f81,definition,
( sQ8_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ8_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f83,plain,
( sQ8_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,definition,
( sQ9_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ9_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f86,plain,
( sQ9_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,definition,
( sQ10_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( ~ sQ10_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f89,plain,
( sQ10_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,definition,
( sQ11_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( ~ sQ11_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f92,plain,
( sQ11_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f81,f84,f87,f90]) ).
fof(f94,definition,
( sQ12_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ12_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f96,plain,
( sQ12_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,definition,
( sQ13_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ13_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f99,plain,
( sQ13_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,definition,
( sQ14_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ14_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f102,plain,
( sQ14_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,definition,
( sQ15_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ15_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( sQ15_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f54,f94,f97,f100,f103]) ).
fof(f107,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)],[f48,f25]) ).
fof(f108,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)],[f48,f24]) ).
fof(f109,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)],[f48,f23]) ).
fof(f110,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)],[f48,f22]) ).
fof(f111,definition,
( sQ16_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ16_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f113,plain,
( sQ16_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ17_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ17_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f116,plain,
( sQ17_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ18_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ18_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( sQ18_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
( sQ19_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ19_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f122,plain,
( sQ19_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f107,f111,f114,f117,f120]) ).
fof(f124,definition,
( sQ20_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ20_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ20_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ21_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ21_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ21_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ22_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ22_spl
| ~ product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,definition,
( sQ23_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ23_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( sQ23_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f108,f124,f127,f130,f133]) ).
fof(f137,definition,
( sQ24_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ24_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ24_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ25_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ25_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ25_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ26_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ26_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( sQ26_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ27_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ27_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ27_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f109,f137,f140,f143,f146]) ).
fof(f150,definition,
( sQ28_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ28_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( sQ28_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ29_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ29_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ29_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ30_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ30_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ30_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ31_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ31_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ31_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f110,f150,f153,f156,f159]) ).
fof(f163,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)],[f49,f25]) ).
fof(f164,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)],[f49,f24]) ).
fof(f165,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)],[f49,f23]) ).
fof(f166,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)],[f49,f22]) ).
fof(f167,definition,
( sQ32_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ32_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f169,plain,
( sQ32_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ33_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ33_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f172,plain,
( sQ33_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,definition,
( sQ34_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ34_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( sQ34_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,definition,
( sQ35_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ35_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f178,plain,
( sQ35_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f163,f167,f170,f173,f176]) ).
fof(f180,definition,
( sQ36_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ36_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ36_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ37_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ37_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f185,plain,
( sQ37_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,definition,
( sQ38_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ38_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ38_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,definition,
( sQ39_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ39_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f191,plain,
( sQ39_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f164,f180,f183,f186,f189]) ).
fof(f193,definition,
( sQ40_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ40_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( sQ40_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ41_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ41_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f198,plain,
( sQ41_spl
| ~ product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ42_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ42_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ42_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
( sQ43_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ43_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( sQ43_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f165,f193,f196,f199,f202]) ).
fof(f206,definition,
( sQ44_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ44_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ44_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ45_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ45_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ45_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ46_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ46_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ46_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ47_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ47_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( sQ47_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f166,f206,f209,f212,f215]) ).
fof(f219,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)],[f50,f25]) ).
fof(f220,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)],[f50,f24]) ).
fof(f221,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)],[f50,f23]) ).
fof(f222,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)],[f50,f22]) ).
fof(f223,definition,
( sQ48_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ48_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f225,plain,
( sQ48_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,definition,
( sQ49_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ49_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( sQ49_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ50_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ50_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( sQ50_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ51_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ51_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ51_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f219,f223,f226,f229,f232]) ).
fof(f236,definition,
( sQ52_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ52_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ52_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ53_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ53_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ53_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ54_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ54_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ54_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ55_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ55_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ55_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f220,f236,f239,f242,f245]) ).
fof(f249,definition,
( sQ56_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ56_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ56_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ57_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ57_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( sQ57_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ58_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ58_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f257,plain,
( sQ58_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ59_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ59_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ59_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f221,f249,f252,f255,f258]) ).
fof(f262,definition,
( sQ60_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ60_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( sQ60_spl
| ~ product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ61_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ61_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( sQ61_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ62_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ62_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ62_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ63_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ63_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( sQ63_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f222,f262,f265,f268,f271]) ).
fof(f275,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f104,f44]) ).
fof(f276,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f104,f42]) ).
fof(f277,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f104,f40]) ).
fof(f278,plain,
! [X0] :
( ~ sQ15_spl
| product(e_4,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f104,f46]) ).
fof(f279,plain,
( ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f275,f104]) ).
fof(f280,plain,
( ~ sQ15_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f276,f104]) ).
fof(f282,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f101,f277]) ).
fof(f283,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f101,f44]) ).
fof(f284,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f101,f42]) ).
fof(f285,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f101,f40]) ).
fof(f286,plain,
! [X0] :
( ~ sQ14_spl
| product(e_3,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f101,f46]) ).
fof(f287,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f282,f37]) ).
fof(f288,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f287]) ).
fof(f289,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f98,f44]) ).
fof(f290,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f98,f42]) ).
fof(f291,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f98,f40]) ).
fof(f292,plain,
! [X0] :
( ~ sQ13_spl
| product(e_2,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f98,f46]) ).
fof(f293,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f289,f98]) ).
fof(f294,plain,
( ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f290,f98]) ).
fof(f295,plain,
( ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f291,f98]) ).
fof(f296,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f95,f291]) ).
fof(f297,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f44]) ).
fof(f298,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f95,f42]) ).
fof(f299,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f95,f40]) ).
fof(f300,plain,
! [X0] :
( ~ sQ12_spl
| product(e_1,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f95,f46]) ).
fof(f301,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f296,f29]) ).
fof(f302,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f301]) ).
fof(f303,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f91,f44]) ).
fof(f304,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f91,f42]) ).
fof(f305,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f91,f40]) ).
fof(f306,plain,
! [X0] :
( ~ sQ11_spl
| product(e_4,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f91,f46]) ).
fof(f308,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f304,f91]) ).
fof(f309,plain,
( ~ sQ11_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f305,f91]) ).
fof(f310,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f88,f305]) ).
fof(f311,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f88,f44]) ).
fof(f312,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f88,f42]) ).
fof(f313,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f88,f40]) ).
fof(f314,plain,
! [X0] :
( ~ sQ10_spl
| product(e_3,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f88,f46]) ).
fof(f315,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f310,f37]) ).
fof(f316,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f85,f290]) ).
fof(f318,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f85,f44]) ).
fof(f319,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f85,f42]) ).
fof(f320,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f85,f40]) ).
fof(f321,plain,
! [X0] :
( ~ sQ9_spl
| product(e_2,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f85,f46]) ).
fof(f322,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f317,f26]) ).
fof(f323,plain,
( ~ sQ13_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f322]) ).
fof(f324,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f82,f298]) ).
fof(f325,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f82,f44]) ).
fof(f326,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f82,f42]) ).
fof(f327,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f82,f40]) ).
fof(f328,plain,
! [X0] :
( ~ sQ8_spl
| product(e_1,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f82,f46]) ).
fof(f329,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f26]) ).
fof(f330,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f329]) ).
fof(f331,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f325,f82]) ).
fof(f332,plain,
( ~ sQ8_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f326,f82]) ).
fof(f333,plain,
( ~ sQ8_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f327,f82]) ).
fof(f334,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f78,f44]) ).
fof(f335,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f78,f42]) ).
fof(f336,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f78,f40]) ).
fof(f337,plain,
! [X0] :
( ~ sQ7_spl
| product(e_4,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f78,f46]) ).
fof(f338,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f334,f78]) ).
fof(f339,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f335,f78]) ).
fof(f340,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f336,f78]) ).
fof(f341,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f75,f336]) ).
fof(f342,plain,
( ~ sQ14_spl
| ~ sQ6_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f75,f284]) ).
fof(f343,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f75,f44]) ).
fof(f344,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f75,f42]) ).
fof(f345,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f75,f40]) ).
fof(f346,plain,
! [X0] :
( ~ sQ6_spl
| product(e_3,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f75,f46]) ).
fof(f347,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f341,f37]) ).
fof(f348,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f347]) ).
fof(f349,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f72,f336]) ).
fof(f350,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f72,f44]) ).
fof(f351,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f72,f42]) ).
fof(f352,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f72,f40]) ).
fof(f353,plain,
! [X0] :
( ~ sQ5_spl
| product(e_2,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f72,f46]) ).
fof(f354,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f36]) ).
fof(f355,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( ~ sQ14_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f342,f27]) ).
fof(f357,plain,
( ~ sQ14_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f356]) ).
fof(f358,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f350,f72]) ).
fof(f359,plain,
( ~ sQ5_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f351,f72]) ).
fof(f360,plain,
( ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f352,f72]) ).
fof(f361,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f69,f352]) ).
fof(f362,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f69,f326]) ).
fof(f363,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f69,f44]) ).
fof(f364,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f69,f42]) ).
fof(f365,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f69,f40]) ).
fof(f366,plain,
! [X0] :
( ~ sQ4_spl
| product(e_1,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f69,f46]) ).
fof(f367,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f29]) ).
fof(f368,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f362,f30]) ).
fof(f370,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f369]) ).
fof(f371,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f65,f44]) ).
fof(f372,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f65,f42]) ).
fof(f373,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f65,f40]) ).
fof(f374,plain,
! [X0] :
( ~ sQ3_spl
| product(e_4,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f65,f46]) ).
fof(f379,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f160,f44]) ).
fof(f380,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f160,f42]) ).
fof(f381,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f160,f40]) ).
fof(f382,plain,
! [X0] :
( ~ sQ31_spl
| product(e_4,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f160,f46]) ).
fof(f383,plain,
( ~ sQ31_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f379,f160]) ).
fof(f384,plain,
( ~ sQ31_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f380,f160]) ).
fof(f385,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f381,f160]) ).
fof(f386,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f157,f381]) ).
fof(f387,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f157,f44]) ).
fof(f388,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f157,f42]) ).
fof(f389,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f157,f40]) ).
fof(f390,plain,
! [X0] :
( ~ sQ30_spl
| product(e_3,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f157,f46]) ).
fof(f391,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f37]) ).
fof(f392,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f391]) ).
fof(f393,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f154,f289]) ).
fof(f394,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f154,f44]) ).
fof(f395,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f154,f42]) ).
fof(f396,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f154,f40]) ).
fof(f397,plain,
! [X0] :
( ~ sQ29_spl
| product(e_2,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f154,f46]) ).
fof(f398,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f37]) ).
fof(f399,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f398]) ).
fof(f400,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f151,f44]) ).
fof(f401,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f151,f42]) ).
fof(f402,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f151,f40]) ).
fof(f403,plain,
! [X0] :
( ~ sQ28_spl
| product(e_1,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f151,f46]) ).
fof(f404,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f147,f44]) ).
fof(f405,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f147,f42]) ).
fof(f406,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f147,f40]) ).
fof(f407,plain,
! [X0] :
( ~ sQ27_spl
| product(e_4,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f147,f46]) ).
fof(f408,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f144,f44]) ).
fof(f409,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f144,f42]) ).
fof(f410,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f144,f40]) ).
fof(f411,plain,
! [X0] :
( ~ sQ26_spl
| product(e_3,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f144,f46]) ).
fof(f412,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f141,f44]) ).
fof(f413,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f141,f42]) ).
fof(f414,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f141,f40]) ).
fof(f415,plain,
! [X0] :
( ~ sQ25_spl
| product(e_2,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f141,f46]) ).
fof(f416,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f138,f44]) ).
fof(f417,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f138,f42]) ).
fof(f418,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f138,f40]) ).
fof(f419,plain,
! [X0] :
( ~ sQ24_spl
| product(e_1,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f138,f46]) ).
fof(f423,plain,
! [X0] :
( ~ sQ23_spl
| product(e_4,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f134,f46]) ).
fof(f424,plain,
( ~ sQ23_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f423,f134]) ).
fof(f425,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f373]) ).
fof(f426,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f424,f374]) ).
fof(f427,plain,
( ~ sQ6_spl
| ~ sQ23_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f424,f344]) ).
fof(f428,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f44]) ).
fof(f431,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f46]) ).
fof(f432,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f425,f37]) ).
fof(f433,plain,
( ~ sQ3_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f297,f151]) ).
fof(f435,plain,
( ~ sQ28_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f434,f37]) ).
fof(f436,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f435]) ).
fof(f437,plain,
( ~ sQ25_spl
| ~ sQ9_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f318,f141]) ).
fof(f438,plain,
( ~ sQ25_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f37]) ).
fof(f439,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f438]) ).
fof(f440,plain,
( ~ sQ28_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f400,f151]) ).
fof(f441,plain,
( ~ sQ24_spl
| ~ sQ28_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f401,f138]) ).
fof(f442,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f401,f151]) ).
fof(f443,plain,
( ~ sQ24_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f441,f26]) ).
fof(f444,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( ~ sQ27_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f404,f147]) ).
fof(f446,plain,
( ~ sQ27_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f405,f147]) ).
fof(f447,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f406,f144]) ).
fof(f448,plain,
( ~ sQ27_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f406,f147]) ).
fof(f449,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f37]) ).
fof(f450,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f408,f144]) ).
fof(f452,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f409,f144]) ).
fof(f454,plain,
( ~ sQ26_spl
| ~ sQ22_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f131,f409]) ).
fof(f455,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f131,f44]) ).
fof(f456,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f131,f42]) ).
fof(f457,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f131,f40]) ).
fof(f458,plain,
! [X0] :
( ~ sQ22_spl
| product(e_3,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f131,f46]) ).
fof(f459,plain,
( ~ sQ26_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f454,f30]) ).
fof(f460,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f459]) ).
fof(f464,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f457,f131]) ).
fof(f465,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f128,f457]) ).
fof(f466,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f128,f458]) ).
fof(f467,plain,
( ~ sQ29_spl
| ~ sQ21_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f128,f395]) ).
fof(f468,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f128,f350]) ).
fof(f469,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f128,f44]) ).
fof(f470,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f128,f42]) ).
fof(f471,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f128,f40]) ).
fof(f472,plain,
! [X0] :
( ~ sQ21_spl
| product(e_2,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f128,f46]) ).
fof(f473,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f465,f33]) ).
fof(f474,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( ~ sQ29_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f467,f27]) ).
fof(f476,plain,
( ~ sQ29_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f475]) ).
fof(f478,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f125,f42]) ).
fof(f480,plain,
! [X0] :
( ~ sQ20_spl
| product(e_1,X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f125,f46]) ).
fof(f481,plain,
( ~ sQ20_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f480,f125]) ).
fof(f482,plain,
( ~ sQ14_spl
| ~ sQ20_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f481,f283]) ).
fof(f486,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f46]) ).
fof(f487,plain,
( ~ sQ14_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f35]) ).
fof(f488,plain,
( ~ sQ14_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f487]) ).
fof(f496,plain,
( ~ sQ20_spl
| ~ sQ30_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f387,f481]) ).
fof(f497,plain,
( ~ sQ20_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f32]) ).
fof(f498,plain,
( ~ sQ20_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f497]) ).
fof(f499,plain,
( ~ sQ20_spl
| ~ sQ28_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f401,f125]) ).
fof(f500,plain,
( ~ sQ20_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f27]) ).
fof(f501,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f121,f353]) ).
fof(f503,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f121,f44]) ).
fof(f504,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f121,f42]) ).
fof(f505,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f121,f40]) ).
fof(f506,plain,
! [X0] :
( ~ sQ19_spl
| product(e_4,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f121,f46]) ).
fof(f507,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f118,f353]) ).
fof(f508,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f118,f44]) ).
fof(f509,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f118,f42]) ).
fof(f510,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f118,f40]) ).
fof(f511,plain,
! [X0] :
( ~ sQ18_spl
| product(e_3,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f118,f46]) ).
fof(f512,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f115,f353]) ).
fof(f513,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f115,f44]) ).
fof(f514,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f115,f42]) ).
fof(f515,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f115,f40]) ).
fof(f516,plain,
! [X0] :
( ~ sQ17_spl
| product(e_2,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f115,f46]) ).
fof(f517,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f112,f353]) ).
fof(f518,plain,
( ~ sQ20_spl
| ~ sQ16_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f112,f478]) ).
fof(f519,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f112,f44]) ).
fof(f520,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f112,f42]) ).
fof(f521,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f112,f40]) ).
fof(f522,plain,
! [X0] :
( ~ sQ16_spl
| product(e_1,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f112,f46]) ).
fof(f523,plain,
( ~ sQ20_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f34]) ).
fof(f524,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f523]) ).
fof(f525,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f216,f44]) ).
fof(f526,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f216,f42]) ).
fof(f527,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f216,f40]) ).
fof(f528,plain,
! [X0] :
( ~ sQ47_spl
| product(e_4,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f216,f46]) ).
fof(f529,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f213,f44]) ).
fof(f530,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f213,f42]) ).
fof(f531,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f213,f40]) ).
fof(f532,plain,
! [X0] :
( ~ sQ46_spl
| product(e_3,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f213,f46]) ).
fof(f533,plain,
( ~ sQ29_spl
| ~ sQ45_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f210,f394]) ).
fof(f534,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f210,f44]) ).
fof(f535,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f210,f42]) ).
fof(f536,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f210,f40]) ).
fof(f537,plain,
! [X0] :
( ~ sQ45_spl
| product(e_2,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f210,f46]) ).
fof(f538,plain,
( ~ sQ29_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f33]) ).
fof(f539,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f540,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f207,f44]) ).
fof(f541,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f207,f42]) ).
fof(f542,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f207,f40]) ).
fof(f543,plain,
! [X0] :
( ~ sQ44_spl
| product(e_1,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f207,f46]) ).
fof(f544,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f203,f44]) ).
fof(f547,plain,
! [X0] :
( ~ sQ43_spl
| product(e_4,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f203,f46]) ).
fof(f548,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ19_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f502,f44]) ).
fof(f549,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f502,f42]) ).
fof(f550,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f502,f40]) ).
fof(f551,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ19_spl
| product(e_4,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f502,f46]) ).
fof(f552,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f507,f44]) ).
fof(f553,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f507,f42]) ).
fof(f554,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f507,f40]) ).
fof(f555,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| product(e_4,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f507,f46]) ).
fof(f556,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ24_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f419,f507]) ).
fof(f557,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| ~ sQ8_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f328,f502]) ).
fof(f558,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ24_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f556,f286]) ).
fof(f559,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f556,f44]) ).
fof(f560,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ24_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f556,f42]) ).
fof(f561,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f556,f40]) ).
fof(f562,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ24_spl
| product(e_3,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f556,f46]) ).
fof(f563,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f558,f133,f137,f117,f71,f100]) ).
fof(f564,plain,
( ~ sQ43_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f547,f203]) ).
fof(f565,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f564,f44]) ).
fof(f568,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f564,f46]) ).
fof(f570,plain,
( ~ sQ17_spl
| ~ sQ43_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f565,f115]) ).
fof(f571,plain,
( ~ sQ17_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f570,f37]) ).
fof(f572,plain,
( ~ sQ17_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( ~ sQ19_spl
| ~ sQ4_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f366,f121]) ).
fof(f575,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ4_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f573,f44]) ).
fof(f576,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ4_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f573,f42]) ).
fof(f577,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ4_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f573,f40]) ).
fof(f578,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ4_spl
| product(e_4,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f573,f46]) ).
fof(f579,plain,
( ~ sQ19_spl
| ~ sQ4_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f575,f573]) ).
fof(f580,plain,
( ~ sQ19_spl
| ~ sQ4_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f575,f121]) ).
fof(f581,plain,
( ~ sQ19_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f580,f27]) ).
fof(f582,plain,
( ~ sQ19_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ19_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f502,f328]) ).
fof(f585,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ19_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f502,f44]) ).
fof(f586,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f502,f42]) ).
fof(f587,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ19_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f502,f40]) ).
fof(f588,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ19_spl
| product(e_4,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f502,f46]) ).
fof(f589,plain,
( ~ sQ5_spl
| ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f548,f502]) ).
fof(f590,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f548,f121]) ).
fof(f591,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f590,f30]) ).
fof(f592,plain,
( ~ sQ19_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( ~ sQ47_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f525,f216]) ).
fof(f594,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f526,f216]) ).
fof(f595,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f527,f207]) ).
fof(f596,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f527,f213]) ).
fof(f597,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f527,f216]) ).
fof(f598,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f595,f35]) ).
fof(f599,plain,
( ~ sQ44_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f529,f213]) ).
fof(f601,plain,
( ~ sQ46_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f530,f213]) ).
fof(f602,plain,
( ~ sQ44_spl
| ~ sQ46_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f531,f207]) ).
fof(f603,plain,
( ~ sQ46_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f531,f213]) ).
fof(f604,plain,
( ~ sQ44_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f602,f32]) ).
fof(f605,plain,
( ~ sQ44_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f606,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f596,f37]) ).
fof(f607,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f606]) ).
fof(f608,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f200,f44]) ).
fof(f609,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f200,f42]) ).
fof(f610,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f200,f40]) ).
fof(f611,plain,
! [X0] :
( ~ sQ42_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f200,f46]) ).
fof(f612,plain,
( ~ sQ25_spl
| ~ sQ41_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f197,f412]) ).
fof(f613,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f197,f44]) ).
fof(f614,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f197,f42]) ).
fof(f615,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f197,f40]) ).
fof(f616,plain,
! [X0] :
( ~ sQ41_spl
| product(e_2,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f197,f46]) ).
fof(f617,plain,
( ~ sQ25_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f612,f33]) ).
fof(f618,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f617]) ).
fof(f619,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f194,f325]) ).
fof(f623,plain,
! [X0] :
( ~ sQ40_spl
| product(e_1,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f194,f46]) ).
fof(f624,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f619,f36]) ).
fof(f625,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f626,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f190,f44]) ).
fof(f627,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f190,f42]) ).
fof(f628,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f190,f40]) ).
fof(f629,plain,
! [X0] :
( ~ sQ39_spl
| product(e_4,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f190,f46]) ).
fof(f630,plain,
( ~ sQ6_spl
| ~ sQ38_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f187,f343]) ).
fof(f631,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f187,f455]) ).
fof(f632,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f187,f44]) ).
fof(f633,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f187,f42]) ).
fof(f634,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f187,f40]) ).
fof(f635,plain,
! [X0] :
( ~ sQ38_spl
| product(e_3,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f187,f46]) ).
fof(f636,plain,
( ~ sQ6_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f630,f36]) ).
fof(f637,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f636]) ).
fof(f638,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f33]) ).
fof(f639,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f638]) ).
fof(f640,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f184,f44]) ).
fof(f641,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f184,f42]) ).
fof(f642,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f184,f40]) ).
fof(f643,plain,
! [X0] :
( ~ sQ37_spl
| product(e_2,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f184,f46]) ).
fof(f644,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f181,f44]) ).
fof(f645,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f181,f42]) ).
fof(f646,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f181,f40]) ).
fof(f647,plain,
! [X0] :
( ~ sQ36_spl
| product(e_1,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f181,f46]) ).
fof(f648,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f177,f44]) ).
fof(f649,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f177,f42]) ).
fof(f650,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f177,f40]) ).
fof(f651,plain,
! [X0] :
( ~ sQ35_spl
| product(e_4,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f177,f46]) ).
fof(f652,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f174,f44]) ).
fof(f653,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f174,f42]) ).
fof(f654,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f174,f40]) ).
fof(f655,plain,
! [X0] :
( ~ sQ34_spl
| product(e_3,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f174,f46]) ).
fof(f656,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f611,f194]) ).
fof(f657,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f611,f197]) ).
fof(f658,plain,
( ~ sQ42_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f611,f200]) ).
fof(f659,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f656,f153,f199,f193]) ).
fof(f660,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f657,f140,f199,f196]) ).
fof(f661,plain,
( ~ sQ40_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f623,f194]) ).
fof(f664,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f40]) ).
fof(f665,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f46]) ).
fof(f667,plain,
( ~ sQ34_spl
| ~ sQ10_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f314,f174]) ).
fof(f668,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f314,f177]) ).
fof(f669,plain,
( ~ sQ34_spl
| ~ sQ10_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f667,f133,f87,f173]) ).
fof(f670,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f668,f120,f87,f176]) ).
fof(f671,plain,
( ~ sQ36_spl
| ~ sQ25_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f415,f181]) ).
fof(f672,plain,
( ~ sQ37_spl
| ~ sQ25_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f415,f184]) ).
fof(f673,plain,
( ~ sQ39_spl
| ~ sQ25_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f415,f190]) ).
fof(f674,plain,
( ~ sQ36_spl
| ~ sQ25_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f671,f212,f140,f180]) ).
fof(f675,plain,
( ~ sQ37_spl
| ~ sQ25_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f672,f199,f140,f183]) ).
fof(f676,plain,
( ~ sQ5_spl
| ~ sQ17_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f512,f202,f114,f71]) ).
fof(f677,plain,
( ~ sQ42_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f658,f127,f199]) ).
fof(f679,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f424,f42]) ).
fof(f680,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f40]) ).
fof(f689,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f419,f190]) ).
fof(f690,plain,
( ~ sQ14_spl
| ~ sQ39_spl
| ~ sQ24_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f689,f286]) ).
fof(f691,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f689,f428]) ).
fof(f692,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f689,f44]) ).
fof(f693,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f689,f42]) ).
fof(f694,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f689,f40]) ).
fof(f695,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| product(e_3,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f689,f46]) ).
fof(f696,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f35]) ).
fof(f697,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f696]) ).
fof(f698,plain,
( ~ sQ39_spl
| ~ sQ26_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f411,f190]) ).
fof(f699,plain,
( ~ sQ4_spl
| ~ sQ39_spl
| ~ sQ26_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f698,f366]) ).
fof(f700,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| ~ sQ26_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f698,f428]) ).
fof(f701,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f698,f44]) ).
fof(f702,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f698,f42]) ).
fof(f703,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f698,f40]) ).
fof(f704,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| product(e_3,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f698,f46]) ).
fof(f705,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f700,f37]) ).
fof(f706,plain,
( ~ sQ23_spl
| ~ sQ39_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f705]) ).
fof(f708,plain,
( ~ sQ40_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f664,f661]) ).
fof(f709,plain,
( ~ sQ40_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f665,f661]) ).
fof(f719,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f534,f661]) ).
fof(f720,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f719,f29]) ).
fof(f721,plain,
( ~ sQ40_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f720]) ).
fof(f722,plain,
( ~ sQ9_spl
| ~ sQ33_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f171,f321]) ).
fof(f723,plain,
( ~ sQ41_spl
| ~ sQ33_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f171,f614]) ).
fof(f724,plain,
( ~ sQ45_spl
| ~ sQ33_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f171,f535]) ).
fof(f725,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f171,f44]) ).
fof(f726,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f171,f42]) ).
fof(f727,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f171,f40]) ).
fof(f728,plain,
! [X0] :
( ~ sQ33_spl
| product(e_2,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f171,f46]) ).
fof(f729,plain,
( ~ sQ9_spl
| ~ sQ33_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f722,f202,f170,f84]) ).
fof(f730,plain,
( ~ sQ41_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f723,f31]) ).
fof(f731,plain,
( ~ sQ41_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f730]) ).
fof(f732,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f168,f645]) ).
fof(f733,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f168,f44]) ).
fof(f734,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f168,f42]) ).
fof(f735,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f168,f40]) ).
fof(f736,plain,
! [X0] :
( ~ sQ32_spl
| product(e_1,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f168,f46]) ).
fof(f737,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f732,f34]) ).
fof(f738,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f737]) ).
fof(f739,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f272,f44]) ).
fof(f740,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f272,f42]) ).
fof(f741,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f272,f40]) ).
fof(f742,plain,
! [X0] :
( ~ sQ63_spl
| product(e_4,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f272,f46]) ).
fof(f743,plain,
( ~ sQ14_spl
| ~ sQ62_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f269,f283]) ).
fof(f744,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f269,f44]) ).
fof(f745,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f269,f42]) ).
fof(f746,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f269,f40]) ).
fof(f747,plain,
! [X0] :
( ~ sQ62_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f269,f46]) ).
fof(f748,plain,
( ~ sQ14_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f743,f35]) ).
fof(f749,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f748]) ).
fof(f750,plain,
( ~ sQ45_spl
| ~ sQ61_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f266,f534]) ).
fof(f751,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f266,f44]) ).
fof(f752,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f42]) ).
fof(f753,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f266,f40]) ).
fof(f754,plain,
! [X0] :
( ~ sQ61_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f266,f46]) ).
fof(f755,plain,
( ~ sQ45_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f750,f29]) ).
fof(f756,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f755]) ).
fof(f757,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f44]) ).
fof(f758,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f263,f42]) ).
fof(f759,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f263,f40]) ).
fof(f760,plain,
! [X0] :
( ~ sQ60_spl
| product(e_1,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f263,f46]) ).
fof(f761,plain,
( ~ sQ43_spl
| ~ sQ59_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f259,f544]) ).
fof(f762,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f259,f44]) ).
fof(f763,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f259,f42]) ).
fof(f764,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f259,f40]) ).
fof(f765,plain,
! [X0] :
( ~ sQ59_spl
| product(e_4,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f259,f46]) ).
fof(f766,plain,
( ~ sQ43_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f761,f29]) ).
fof(f767,plain,
( ~ sQ43_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f766]) ).
fof(f768,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f314,f168]) ).
fof(f769,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f768,f159,f87,f167]) ).
fof(f770,plain,
( ~ sQ60_spl
| ~ sQ63_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f742,f263]) ).
fof(f771,plain,
( ~ sQ63_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f742,f272]) ).
fof(f773,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f760,f272]) ).
fof(f774,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f44]) ).
fof(f777,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f424,f46]) ).
fof(f778,plain,
( ~ sQ60_spl
| ~ sQ40_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f661,f760]) ).
fof(f779,plain,
( ~ sQ63_spl
| ~ sQ40_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f661,f742]) ).
fof(f783,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f46]) ).
fof(f784,plain,
( ~ sQ63_spl
| ~ sQ40_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f779,f81,f193,f271]) ).
fof(f787,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f709,f42]) ).
fof(f788,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f709,f40]) ).
fof(f791,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f778,f44]) ).
fof(f792,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f778,f42]) ).
fof(f793,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f778,f40]) ).
fof(f794,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ40_spl
| product(e_1,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f778,f46]) ).
fof(f798,plain,
( ~ sQ23_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f431,f424]) ).
fof(f801,plain,
( ~ sQ60_spl
| ~ sQ40_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f664,f263]) ).
fof(f802,plain,
( ~ sQ60_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f29]) ).
fof(f803,plain,
( ~ sQ60_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f804,plain,
( ~ sQ60_spl
| ~ sQ63_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f770,f94,f271,f262]) ).
fof(f805,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ24_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f689,f292]) ).
fof(f811,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f805,f44]) ).
fof(f812,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f805,f42]) ).
fof(f813,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f805,f40]) ).
fof(f815,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f692,f689]) ).
fof(f817,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f694,f689]) ).
fof(f818,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f811,f805]) ).
fof(f821,plain,
( ~ sQ44_spl
| ~ sQ58_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f256,f543]) ).
fof(f822,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ58_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f256,f693]) ).
fof(f823,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f256,f44]) ).
fof(f824,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f256,f42]) ).
fof(f825,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f256,f40]) ).
fof(f826,plain,
! [X0] :
( ~ sQ58_spl
| product(e_3,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f256,f46]) ).
fof(f827,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f822,f36]) ).
fof(f828,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( ~ sQ41_spl
| ~ sQ57_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f253,f613]) ).
fof(f831,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f253,f44]) ).
fof(f832,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f253,f42]) ).
fof(f833,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f253,f40]) ).
fof(f834,plain,
! [X0] :
( ~ sQ57_spl
| product(e_2,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f253,f46]) ).
fof(f835,plain,
( ~ sQ41_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f830,f29]) ).
fof(f836,plain,
( ~ sQ41_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f835]) ).
fof(f837,plain,
( ~ sQ44_spl
| ~ sQ56_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f250,f543]) ).
fof(f838,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f250,f44]) ).
fof(f839,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f250,f42]) ).
fof(f840,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f250,f40]) ).
fof(f841,plain,
! [X0] :
( ~ sQ56_spl
| product(e_1,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f250,f46]) ).
fof(f842,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f246,f44]) ).
fof(f843,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f246,f42]) ).
fof(f844,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f246,f40]) ).
fof(f845,plain,
! [X0] :
( ~ sQ55_spl
| product(e_4,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f46]) ).
fof(f846,plain,
( ~ sQ6_spl
| ~ sQ54_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f243,f343]) ).
fof(f847,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f243,f44]) ).
fof(f848,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f243,f42]) ).
fof(f849,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f243,f40]) ).
fof(f850,plain,
! [X0] :
( ~ sQ54_spl
| product(e_3,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f243,f46]) ).
fof(f851,plain,
( ~ sQ6_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f846,f35]) ).
fof(f852,plain,
( ~ sQ6_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f853,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f240,f44]) ).
fof(f854,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f240,f42]) ).
fof(f855,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f240,f40]) ).
fof(f856,plain,
! [X0] :
( ~ sQ53_spl
| product(e_2,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f240,f46]) ).
fof(f858,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f837,f44]) ).
fof(f859,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ56_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f837,f42]) ).
fof(f860,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f837,f40]) ).
fof(f861,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ56_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f837,f46]) ).
fof(f863,plain,
( ~ sQ53_spl
| ~ sQ30_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f390,f240]) ).
fof(f864,plain,
( ~ sQ55_spl
| ~ sQ30_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f390,f246]) ).
fof(f865,plain,
( ~ sQ53_spl
| ~ sQ30_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f863,f143,f156,f239]) ).
fof(f867,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f864,f44]) ).
fof(f868,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f864,f42]) ).
fof(f869,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f864,f40]) ).
fof(f870,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ30_spl
| product(e_3,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f864,f46]) ).
fof(f871,plain,
( ~ sQ55_spl
| ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f867,f864]) ).
fof(f872,plain,
( ~ sQ55_spl
| ~ sQ30_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f868,f864]) ).
fof(f874,plain,
( ~ sQ56_spl
| ~ sQ47_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f528,f250]) ).
fof(f875,plain,
( ~ sQ56_spl
| ~ sQ47_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f874,f97,f215,f249]) ).
fof(f876,plain,
( ~ sQ55_spl
| ~ sQ30_spl
| ~ sQ34_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f652,f864]) ).
fof(f877,plain,
( ~ sQ55_spl
| ~ sQ30_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f876,f30]) ).
fof(f878,plain,
( ~ sQ55_spl
| ~ sQ30_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f877]) ).
fof(f879,plain,
( ~ sQ53_spl
| ~ sQ21_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f469,f240]) ).
fof(f880,plain,
( ~ sQ53_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f879,f32]) ).
fof(f881,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f880]) ).
fof(f885,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f46]) ).
fof(f902,plain,
( ~ sQ44_spl
| ~ sQ58_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f821,f239,f255,f206]) ).
fof(f903,plain,
( ~ sQ44_spl
| ~ sQ56_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f837,f265,f249,f206]) ).
fof(f904,plain,
( ~ sQ20_spl
| ~ sQ60_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f760,f481]) ).
fof(f908,plain,
( ~ sQ20_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f486,f481]) ).
fof(f911,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f904,f44]) ).
fof(f912,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f904,f42]) ).
fof(f913,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f904,f40]) ).
fof(f914,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ60_spl
| product(e_1,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f904,f46]) ).
fof(f917,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f37]) ).
fof(f918,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f917]) ).
fof(f919,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f771,f44]) ).
fof(f920,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f771,f42]) ).
fof(f921,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f771,f40]) ).
fof(f922,plain,
! [X0] :
( ~ sQ63_spl
| product(e_1,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f771,f46]) ).
fof(f923,plain,
( ~ sQ28_spl
| ~ sQ52_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f237,f403]) ).
fof(f924,plain,
( ~ sQ36_spl
| ~ sQ52_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f237,f644]) ).
fof(f925,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f237,f44]) ).
fof(f926,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f237,f42]) ).
fof(f927,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f237,f40]) ).
fof(f928,plain,
! [X0] :
( ~ sQ52_spl
| product(e_1,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f237,f46]) ).
fof(f929,plain,
( ~ sQ36_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f924,f29]) ).
fof(f930,plain,
( ~ sQ36_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f929]) ).
fof(f931,plain,
( ~ sQ13_spl
| ~ sQ51_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f233,f292]) ).
fof(f932,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f233,f44]) ).
fof(f933,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f233,f42]) ).
fof(f934,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f233,f40]) ).
fof(f935,plain,
! [X0] :
( ~ sQ51_spl
| product(e_4,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f233,f46]) ).
fof(f936,plain,
( ~ sQ13_spl
| ~ sQ50_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f230,f292]) ).
fof(f937,plain,
( ~ sQ34_spl
| ~ sQ50_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f230,f652]) ).
fof(f938,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f230,f44]) ).
fof(f939,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f230,f42]) ).
fof(f940,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f230,f40]) ).
fof(f941,plain,
! [X0] :
( ~ sQ50_spl
| product(e_3,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f230,f46]) ).
fof(f942,plain,
( ~ sQ34_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f937,f29]) ).
fof(f943,plain,
( ~ sQ34_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f942]) ).
fof(f944,plain,
( ~ sQ13_spl
| ~ sQ49_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f227,f292]) ).
fof(f945,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f227,f44]) ).
fof(f946,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f227,f42]) ).
fof(f947,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f227,f40]) ).
fof(f948,plain,
! [X0] :
( ~ sQ49_spl
| product(e_2,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f227,f46]) ).
fof(f949,plain,
( ~ sQ13_spl
| ~ sQ49_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f944,f202,f226,f97]) ).
fof(f950,plain,
( ~ sQ13_spl
| ~ sQ48_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f224,f292]) ).
fof(f951,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f224,f44]) ).
fof(f952,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f224,f42]) ).
fof(f953,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f224,f40]) ).
fof(f954,plain,
! [X0] :
( ~ sQ48_spl
| product(e_1,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f224,f46]) ).
fof(f955,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f62,f44]) ).
fof(f956,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f62,f42]) ).
fof(f957,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f62,f40]) ).
fof(f958,plain,
! [X0] :
( ~ sQ2_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f62,f46]) ).
fof(f959,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f923,f44]) ).
fof(f960,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f923,f42]) ).
fof(f961,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f923,f40]) ).
fof(f962,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ52_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f923,f46]) ).
fof(f963,plain,
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f673,f328]) ).
fof(f964,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f673,f44]) ).
fof(f965,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f673,f42]) ).
fof(f966,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ25_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f673,f40]) ).
fof(f967,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ25_spl
| product(e_3,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f673,f46]) ).
fof(f969,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f931,f44]) ).
fof(f970,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f931,f42]) ).
fof(f971,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f931,f40]) ).
fof(f972,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ51_spl
| product(e_4,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f931,f46]) ).
fof(f973,plain,
( ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ63_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f742,f923]) ).
fof(f974,plain,
( ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ63_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f973,f68,f271,f236,f150]) ).
fof(f975,plain,
( ~ sQ2_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f958,f62]) ).
fof(f976,plain,
( ~ sQ2_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f975,f133,f61]) ).
fof(f977,plain,
( ~ sQ2_spl
| ~ sQ43_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f564,f958]) ).
fof(f979,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f564,f42]) ).
fof(f980,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f564,f40]) ).
fof(f981,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f564,f46]) ).
fof(f982,plain,
( ~ sQ2_spl
| ~ sQ43_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f977,f146,f202,f61]) ).
fof(f983,plain,
( ~ sQ39_spl
| ~ sQ25_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f673,f173,f140,f189]) ).
fof(f984,plain,
( ~ sQ58_spl
| ~ sQ13_spl
| ~ sQ48_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f950,f826]) ).
fof(f985,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ48_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f950,f44]) ).
fof(f986,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f950,f42]) ).
fof(f987,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f950,f40]) ).
fof(f988,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ48_spl
| product(e_4,X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f950,f46]) ).
fof(f992,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| product(e_3,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f698,f46]) ).
fof(f993,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ13_spl
| ~ sQ48_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f984,f44]) ).
fof(f994,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ13_spl
| ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f984,f42]) ).
fof(f995,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ13_spl
| ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f984,f40]) ).
fof(f996,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ13_spl
| ~ sQ48_spl
| product(e_1,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f984,f46]) ).
fof(f1000,plain,
( ~ sQ39_spl
| ~ sQ26_spl
| ~ sQ6_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f346,f698]) ).
fof(f1002,plain,
( ~ sQ39_spl
| ~ sQ26_spl
| ~ sQ6_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1000,f133,f74,f143,f189]) ).
fof(f1004,plain,
( ~ sQ43_spl
| ~ sQ3_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f374,f564]) ).
fof(f1006,plain,
( ~ sQ43_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f568,f564]) ).
fof(f1008,plain,
( ~ sQ13_spl
| ~ sQ51_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f969,f931]) ).
fof(f1009,plain,
( ~ sQ51_spl
| ~ sQ13_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f969,f233]) ).
fof(f1010,plain,
( ~ sQ51_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1009,f29]) ).
fof(f1011,plain,
( ~ sQ51_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1012,plain,
( ~ sQ45_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f724,f28]) ).
fof(f1013,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1012]) ).
fof(f1021,plain,
( ~ sQ48_spl
| ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f694,f224]) ).
fof(f1022,plain,
( ~ sQ51_spl
| ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f694,f233]) ).
fof(f1023,plain,
( ~ sQ48_spl
| ~ sQ39_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f32]) ).
fof(f1024,plain,
( ~ sQ48_spl
| ~ sQ39_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1025,plain,
( ~ sQ51_spl
| ~ sQ39_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f34]) ).
fof(f1026,plain,
( ~ sQ51_spl
| ~ sQ39_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ15_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f278,f689]) ).
fof(f1028,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ15_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1027,f77,f103,f137,f189]) ).
fof(f1029,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f59,f373]) ).
fof(f1030,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f59,f374]) ).
fof(f1031,plain,
( ~ sQ33_spl
| ~ sQ1_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f59,f725]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f59,f44]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f59,f42]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ1_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f59,f46]) ).
fof(f1036,plain,
( ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f36]) ).
fof(f1037,plain,
( ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1036]) ).
fof(f1038,plain,
( ~ sQ33_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1031,f31]) ).
fof(f1039,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1038]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f56,f44]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f56,f42]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f56,f40]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ0_spl
| product(e_1,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f56,f46]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f689,f44]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f689,f42]) ).
fof(f1049,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f693,f689]) ).
fof(f1050,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f300,f689]) ).
fof(f1051,plain,
( ~ sQ0_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1043,f56]) ).
fof(f1052,plain,
( ~ sQ0_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1051,f271,f55]) ).
fof(f1053,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f374,f56]) ).
fof(f1054,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1053,f103,f64,f55]) ).
fof(f1055,plain,
( ~ sQ52_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1050,f927]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1050,f44]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1050,f42]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1050,f40]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| product(e_4,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1050,f46]) ).
fof(f1061,plain,
( ~ sQ52_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1055,f28]) ).
fof(f1062,plain,
( ~ sQ52_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1064,plain,
( ~ sQ0_spl
| ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f920,f56]) ).
fof(f1065,plain,
( ~ sQ0_spl
| ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f921,f56]) ).
fof(f1066,plain,
( ~ sQ0_spl
| ~ sQ32_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f733,f56]) ).
fof(f1067,plain,
( ~ sQ0_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1066,f31]) ).
fof(f1068,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1069,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f128,f471]) ).
fof(f1070,plain,
( ~ sQ21_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f128,f472]) ).
fof(f1071,plain,
( ~ sQ21_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f128,f470]) ).
fof(f1079,plain,
( ~ sQ34_spl
| ~ sQ21_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1070,f653]) ).
fof(f1080,plain,
( ~ sQ38_spl
| ~ sQ21_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1070,f633]) ).
fof(f1082,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1070,f408]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1070,f46]) ).
fof(f1088,plain,
( ~ sQ34_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1079,f36]) ).
fof(f1089,plain,
( ~ sQ34_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1088]) ).
fof(f1090,plain,
( ~ sQ63_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f771,f55,f271]) ).
fof(f1095,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f908,f363]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f908,f44]) ).
fof(f1100,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1095,f37]) ).
fof(f1101,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1100]) ).
fof(f1102,plain,
( ~ sQ23_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f424,f61,f133]) ).
fof(f1103,plain,
( ~ sQ13_spl
| ~ sQ50_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f936,f189,f229,f97]) ).
fof(f1104,plain,
( ~ sQ21_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1070,f199,f127]) ).
fof(f1105,plain,
( ~ sQ43_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f564,f58,f202]) ).
fof(f1106,plain,
( ~ sQ6_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f34]) ).
fof(f1107,plain,
( ~ sQ6_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1106]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f661,f42]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f46]) ).
fof(f1118,plain,
( ~ sQ23_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f798,f423]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f798,f44]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f798,f42]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f798,f40]) ).
fof(f1124,plain,
( ~ sQ1_spl
| ~ sQ23_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1118,f1035]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1118,f44]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1118,f46]) ).
fof(f1129,plain,
( ~ sQ1_spl
| ~ sQ23_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f1124,f189,f133,f58]) ).
fof(f1133,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f458,f798]) ).
fof(f1138,plain,
( ~ sQ7_spl
| ~ sQ23_spl
| ~ sQ22_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f1133,f337]) ).
fof(f1139,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1133,f774]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1133,f44]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1133,f42]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1133,f40]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ22_spl
| product(e_3,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1133,f46]) ).
fof(f1144,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1139,f37]) ).
fof(f1145,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1144]) ).
fof(f1146,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| ~ sQ24_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f556,f229,f137,f117,f71]) ).
fof(f1147,plain,
( ~ sQ5_spl
| ~ sQ18_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f507,f189,f117,f71]) ).
fof(f1152,plain,
( ~ sQ20_spl
| ~ sQ63_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f742,f481]) ).
fof(f1153,plain,
( ~ sQ20_spl
| ~ sQ63_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1152,f68,f271,f124]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f908,f44]) ).
fof(f1159,plain,
( ~ sQ29_spl
| ~ sQ40_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f661,f394]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f46]) ).
fof(f1164,plain,
( ~ sQ29_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1159,f32]) ).
fof(f1165,plain,
( ~ sQ29_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1169,plain,
( ~ sQ20_spl
| ~ sQ61_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f754,f481]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1169,f44]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1169,f42]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1169,f40]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ61_spl
| product(e_1,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1169,f46]) ).
fof(f1178,plain,
( ~ sQ20_spl
| ~ sQ61_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1096,f1169]) ).
fof(f1180,plain,
( ~ sQ20_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1178,f33]) ).
fof(f1181,plain,
( ~ sQ20_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1180]) ).
fof(f1182,plain,
( ~ sQ38_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1080,f33]) ).
fof(f1183,plain,
( ~ sQ38_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1182]) ).
fof(f1184,plain,
( ~ sQ12_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f299]) ).
fof(f1185,plain,
( ~ sQ48_spl
| ~ sQ12_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f954]) ).
fof(f1186,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f95,f364]) ).
fof(f1187,plain,
( ~ sQ63_spl
| ~ sQ12_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f95,f920]) ).
fof(f1189,plain,
( ~ sQ12_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f297]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f95,f42]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f95,f40]) ).
fof(f1194,plain,
( ~ sQ48_spl
| ~ sQ12_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1185,f262,f94,f223]) ).
fof(f1195,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1186,f32]) ).
fof(f1196,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1195]) ).
fof(f1197,plain,
( ~ sQ14_spl
| ~ sQ39_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f690,f133,f137,f189,f100]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f46]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1118,f46]) ).
fof(f1216,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1006,f623]) ).
fof(f1221,plain,
( ~ sQ23_spl
| ~ sQ1_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1035,f1118]) ).
fof(f1224,plain,
( ~ sQ43_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f547,f1006]) ).
fof(f1225,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f547,f709]) ).
fof(f1226,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1225,f97,f202,f193]) ).
fof(f1233,plain,
( ~ sQ40_spl
| ~ sQ44_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f541,f709]) ).
fof(f1234,plain,
( ~ sQ40_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1233,f26]) ).
fof(f1235,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1234]) ).
fof(f1236,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1082,f33]) ).
fof(f1237,plain,
( ~ sQ26_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1236]) ).
fof(f1245,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1118,f46]) ).
fof(f1254,plain,
( ~ sQ23_spl
| ~ sQ14_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f284,f1118]) ).
fof(f1255,plain,
( ~ sQ23_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1254,f28]) ).
fof(f1256,plain,
( ~ sQ23_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1255]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f46]) ).
fof(f1262,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| ~ sQ26_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f698,f353]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f698,f44]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f698,f42]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f698,f40]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ26_spl
| product(e_3,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f698,f46]) ).
fof(f1271,plain,
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f702,f698]) ).
fof(f1272,plain,
( ~ sQ39_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f703,f698]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f908,f44]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f908,f42]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f908,f40]) ).
fof(f1279,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f1006,f616]) ).
fof(f1283,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1006,f40]) ).
fof(f1285,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1279,f170,f202,f196]) ).
fof(f1292,plain,
( ~ sQ20_spl
| ~ sQ60_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f760,f481]) ).
fof(f1293,plain,
( ~ sQ29_spl
| ~ sQ20_spl
| ~ sQ60_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1292,f397]) ).
fof(f1294,plain,
( ~ sQ20_spl
| ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1292,f1155]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1292,f44]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1292,f42]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1292,f40]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ60_spl
| product(e_1,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1292,f46]) ).
fof(f1299,plain,
( ~ sQ20_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f32]) ).
fof(f1300,plain,
( ~ sQ20_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1299]) ).
fof(f1301,plain,
( ~ sQ63_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1187,f35]) ).
fof(f1302,plain,
( ~ sQ63_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1224,f44]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1224,f42]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1224,f46]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1006,f44]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1006,f42]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f963,f44]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f963,f42]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f963,f40]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl
| product(e_4,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f963,f46]) ).
fof(f1321,plain,
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl
| ~ sQ28_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f403,f963]) ).
fof(f1322,plain,
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl
| ~ sQ28_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1321,f229,f150,f140,f189,f81]) ).
fof(f1323,plain,
( sQ55_spl
| ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f963]) ).
fof(f1324,plain,
( sQ55_spl
| ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1323]) ).
fof(f1325,plain,
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl
| ~ sQ31_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f382,f963]) ).
fof(f1326,plain,
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ25_spl
| ~ sQ31_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1325,f61,f159,f140,f189,f81]) ).
fof(f1333,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f759]) ).
fof(f1336,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f263,f400]) ).
fof(f1342,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1336,f32]) ).
fof(f1343,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1342]) ).
fof(f1344,plain,
( ~ sQ25_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f141,f414]) ).
fof(f1345,plain,
( ~ sQ36_spl
| ~ sQ25_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f141,f647]) ).
fof(f1346,plain,
( ~ sQ17_spl
| ~ sQ25_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f141,f514]) ).
fof(f1347,plain,
( ~ sQ21_spl
| ~ sQ25_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f141,f470]) ).
fof(f1348,plain,
( ~ sQ25_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f141,f413]) ).
fof(f1349,plain,
( ~ sQ57_spl
| ~ sQ25_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f141,f831]) ).
fof(f1350,plain,
( ~ sQ25_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f141,f412]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f141,f44]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f141,f42]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f141,f40]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ25_spl
| product(e_2,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f141,f46]) ).
fof(f1355,plain,
( ~ sQ17_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1346,f36]) ).
fof(f1356,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1355]) ).
fof(f1357,plain,
( ~ sQ50_spl
| ~ sQ20_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f481,f939]) ).
fof(f1358,plain,
( ~ sQ46_spl
| ~ sQ20_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f481,f529]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f481,f44]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f481,f42]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f40]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f46]) ).
fof(f1363,plain,
( ~ sQ50_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1357,f35]) ).
fof(f1364,plain,
( ~ sQ50_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1363]) ).
fof(f1365,plain,
( ~ sQ2_spl
| ~ sQ43_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1224,f958]) ).
fof(f1366,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1224,f1035]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1224,f46]) ).
fof(f1377,plain,
( ~ sQ23_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f798,f423]) ).
fof(f1378,plain,
( ~ sQ55_spl
| ~ sQ23_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f798,f842]) ).
fof(f1383,plain,
( ~ sQ55_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1378,f27]) ).
fof(f1384,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1383]) ).
fof(f1385,plain,
( ~ sQ21_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1347,f33]) ).
fof(f1386,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1385]) ).
fof(f1387,plain,
( ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1224,f980]) ).
fof(f1388,plain,
( ~ sQ63_spl
| ~ sQ43_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1224,f921]) ).
fof(f1390,plain,
( ~ sQ0_spl
| ~ sQ43_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1224,f1043]) ).
fof(f1391,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1224,f979]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1224,f46]) ).
fof(f1396,plain,
( ~ sQ63_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1388,f26]) ).
fof(f1397,plain,
( ~ sQ63_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1396]) ).
fof(f1399,plain,
( ~ sQ55_spl
| ~ sQ30_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f864,f117,f156,f245]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f46]) ).
fof(f1413,plain,
( ~ sQ30_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1050,f390]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1050,f44]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1050,f42]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1050,f40]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| product(e_4,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1050,f46]) ).
fof(f1425,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ12_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1413,f1044]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1413,f44]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1413,f42]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1413,f40]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ12_spl
| product(e_3,X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1413,f46]) ).
fof(f1431,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1425,f27]) ).
fof(f1432,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1441,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ15_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f278,f689]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ15_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1441,f44]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ15_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1441,f42]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ15_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1441,f40]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| ~ sQ15_spl
| product(e_4,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1441,f46]) ).
fof(f1450,plain,
( ~ sQ40_spl
| ~ sQ49_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f946,f661]) ).
fof(f1451,plain,
( ~ sQ40_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1450,f35]) ).
fof(f1452,plain,
( ~ sQ40_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1451]) ).
fof(f1453,plain,
( ~ sQ46_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1358,f29]) ).
fof(f1454,plain,
( ~ sQ46_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f1453]) ).
fof(f1455,plain,
( ~ sQ49_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f227,f947]) ).
fof(f1456,plain,
( ~ sQ49_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f227,f946]) ).
fof(f1457,plain,
( ~ sQ49_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f227,f945]) ).
fof(f1462,plain,
( ~ sQ49_spl
| ~ sQ12_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f300,f227]) ).
fof(f1463,plain,
( ~ sQ47_spl
| ~ sQ49_spl
| ~ sQ12_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1462,f528]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ12_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1462,f44]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ12_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1462,f42]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ12_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1462,f40]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ12_spl
| product(e_4,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1462,f46]) ).
fof(f1468,plain,
( ~ sQ47_spl
| ~ sQ49_spl
| ~ sQ12_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1463,f58,f94,f226,f215]) ).
fof(f1470,plain,
( ~ sQ49_spl
| ~ sQ12_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1465,f1462]) ).
fof(f1471,plain,
( ~ sQ49_spl
| ~ sQ12_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1466,f1462]) ).
fof(f1473,plain,
( ~ sQ49_spl
| ~ sQ12_spl
| ~ sQ58_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f825,f1462]) ).
fof(f1474,plain,
( ~ sQ49_spl
| ~ sQ12_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1473,f34]) ).
fof(f1475,plain,
( ~ sQ49_spl
| ~ sQ12_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1474]) ).
fof(f1476,plain,
( ~ sQ49_spl
| ~ sQ14_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f286,f227]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1476,f44]) ).
fof(f1479,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1476,f42]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1476,f40]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| product(e_4,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1476,f46]) ).
fof(f1482,plain,
( ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1478,f1476]) ).
fof(f1485,plain,
( ~ sQ49_spl
| ~ sQ14_spl
| ~ sQ24_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f418,f1476]) ).
fof(f1486,plain,
( ~ sQ49_spl
| ~ sQ14_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1485,f28]) ).
fof(f1487,plain,
( ~ sQ49_spl
| ~ sQ14_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1486]) ).
fof(f1488,plain,
( ~ sQ34_spl
| ~ sQ9_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f85,f655]) ).
fof(f1489,plain,
( ~ sQ9_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f85,f320]) ).
fof(f1490,plain,
( ~ sQ9_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f85,f319]) ).
fof(f1491,plain,
( ~ sQ41_spl
| ~ sQ9_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f85,f613]) ).
fof(f1492,plain,
( ~ sQ9_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f85,f318]) ).
fof(f1497,plain,
( ~ sQ34_spl
| ~ sQ9_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1488,f140,f84,f173]) ).
fof(f1498,plain,
( ~ sQ41_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1491,f31]) ).
fof(f1499,plain,
( ~ sQ41_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1509,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1224,f46]) ).
fof(f1516,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ39_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f627,f1366]) ).
fof(f1517,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1516,f33]) ).
fof(f1518,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1517]) ).
fof(f1519,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ42_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f611,f1366]) ).
fof(f1520,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ42_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1519,f114,f199,f202,f58]) ).
fof(f1521,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f517,f215,f111,f71]) ).
fof(f1530,plain,
( ~ sQ43_spl
| ~ sQ5_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f351,f1224]) ).
fof(f1531,plain,
( ~ sQ43_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1530,f34]) ).
fof(f1532,plain,
( ~ sQ43_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1531]) ).
fof(f1533,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ47_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f526,f1366]) ).
fof(f1534,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1533,f26]) ).
fof(f1535,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1534]) ).
fof(f1536,plain,
( ~ sQ43_spl
| ~ sQ49_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f945,f1224]) ).
fof(f1537,plain,
( ~ sQ43_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1536,f28]) ).
fof(f1538,plain,
( ~ sQ43_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1537]) ).
fof(f1539,plain,
( ~ sQ15_spl
| ~ sQ39_spl
| ~ sQ24_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f689,f278]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f689,f44]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f689,f42]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f689,f40]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ24_spl
| product(e_3,X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f689,f46]) ).
fof(f1544,plain,
( ~ sQ61_spl
| ~ sQ40_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f661,f754]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f661,f44]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f661,f42]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f40]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f46]) ).
fof(f1549,plain,
( ~ sQ39_spl
| ~ sQ24_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f694,f689]) ).
fof(f1550,plain,
( ~ sQ1_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f59,f1035]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f59,f44]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f59,f42]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f59,f40]) ).
fof(f1555,plain,
( ~ sQ1_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1550,f202,f58]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f46]) ).
fof(f1572,plain,
( ~ sQ20_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1361,f481]) ).
fof(f1583,plain,
( ~ sQ20_spl
| ~ sQ24_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f417,f908]) ).
fof(f1584,plain,
( ~ sQ20_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1583,f30]) ).
fof(f1585,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1584]) ).
fof(f1586,plain,
( ~ sQ61_spl
| ~ sQ40_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f661,f754]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f46]) ).
fof(f1592,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1110,f661]) ).
fof(f1595,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| ~ sQ40_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1544,f645]) ).
fof(f1600,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1595,f33]) ).
fof(f1601,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1600]) ).
fof(f1603,plain,
( ~ sQ18_spl
| ~ sQ23_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1118,f508]) ).
fof(f1607,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1118,f46]) ).
fof(f1608,plain,
( ~ sQ18_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1603,f34]) ).
fof(f1609,plain,
( ~ sQ18_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1608]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f46]) ).
fof(f1626,plain,
( ~ sQ20_spl
| ~ sQ36_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f644,f908]) ).
fof(f1627,plain,
( ~ sQ20_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1626,f30]) ).
fof(f1628,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1627]) ).
fof(f1629,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f75,f511]) ).
fof(f1631,plain,
( ~ sQ6_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f75,f344]) ).
fof(f1632,plain,
( ~ sQ6_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f75,f343]) ).
fof(f1637,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1629,f130,f74,f117]) ).
fof(f1640,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f65,f304]) ).
fof(f1641,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f65,f372]) ).
fof(f1642,plain,
( ~ sQ51_spl
| ~ sQ3_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f65,f932]) ).
fof(f1648,plain,
( ~ sQ11_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1640,f31]) ).
fof(f1649,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1648]) ).
fof(f1651,plain,
( ~ sQ57_spl
| ~ sQ40_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f661,f832]) ).
fof(f1655,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f661,f46]) ).
fof(f1656,plain,
( ~ sQ57_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1651,f29]) ).
fof(f1657,plain,
( ~ sQ57_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1656]) ).
fof(f1658,plain,
( ~ sQ48_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f224,f953]) ).
fof(f1659,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f224,f278]) ).
fof(f1660,plain,
( ~ sQ60_spl
| ~ sQ48_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f224,f758]) ).
fof(f1661,plain,
( ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f224,f952]) ).
fof(f1667,plain,
( ~ sQ60_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1660,f28]) ).
fof(f1668,plain,
( ~ sQ60_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1667]) ).
fof(f1669,plain,
( ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f174,f654]) ).
fof(f1670,plain,
( ~ sQ8_spl
| ~ sQ34_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f174,f328]) ).
fof(f1671,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f174,f653]) ).
fof(f1672,plain,
( ~ sQ34_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f174,f652]) ).
fof(f1677,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f240,f844]) ).
fof(f1678,plain,
( ~ sQ53_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f240,f855]) ).
fof(f1679,plain,
( ~ sQ29_spl
| ~ sQ53_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f240,f397]) ).
fof(f1680,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f240,f946]) ).
fof(f1681,plain,
( ~ sQ53_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f240,f854]) ).
fof(f1682,plain,
( ~ sQ53_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f240,f853]) ).
fof(f1687,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1677,f36]) ).
fof(f1688,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1687]) ).
fof(f1689,plain,
( ~ sQ24_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f138,f418]) ).
fof(f1690,plain,
( ~ sQ36_spl
| ~ sQ24_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f138,f647]) ).
fof(f1691,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f138,f520]) ).
fof(f1692,plain,
( ~ sQ24_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f138,f417]) ).
fof(f1693,plain,
( ~ sQ24_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f138,f416]) ).
fof(f1698,plain,
( ~ sQ36_spl
| ~ sQ24_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1690,f265,f137,f180]) ).
fof(f1699,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1691,f36]) ).
fof(f1700,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1699]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f923,f44]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f923,f42]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f923,f40]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ52_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f923,f46]) ).
fof(f1705,plain,
( ~ sQ28_spl
| ~ sQ52_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f959,f923]) ).
fof(f1706,plain,
( ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ61_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f754,f923]) ).
fof(f1707,plain,
( ~ sQ28_spl
| ~ sQ52_spl
| ~ sQ61_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1706,f180,f265,f236,f150]) ).
fof(f1708,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f128,f471]) ).
fof(f1709,plain,
( ~ sQ21_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f128,f472]) ).
fof(f1710,plain,
( ~ sQ17_spl
| ~ sQ21_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f128,f514]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f128,f42]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f128,f40]) ).
fof(f1717,plain,
( ~ sQ17_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1710,f37]) ).
fof(f1718,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1717]) ).
fof(f1728,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f46]) ).
fof(f1734,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1276,f908]) ).
fof(f1735,plain,
( ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f98,f291]) ).
fof(f1736,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f98,f954]) ).
fof(f1738,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f98,f289]) ).
fof(f1745,plain,
( ~ sQ56_spl
| ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1736,f839]) ).
fof(f1746,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1736,f952]) ).
fof(f1747,plain,
( ~ sQ56_spl
| ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1736,f838]) ).
fof(f1748,plain,
( ~ sQ8_spl
| ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1736,f325]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1736,f44]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1736,f42]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1736,f40]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| product(e_1,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1736,f46]) ).
fof(f1753,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1746,f36]) ).
fof(f1754,plain,
( ~ sQ48_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1753]) ).
fof(f1755,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f1586,f623]) ).
fof(f1756,plain,
( ~ sQ32_spl
| ~ sQ61_spl
| ~ sQ40_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1586,f734]) ).
fof(f1757,plain,
( ~ sQ56_spl
| ~ sQ61_spl
| ~ sQ40_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1586,f838]) ).
fof(f1762,plain,
( ~ sQ32_spl
| ~ sQ61_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1756,f36]) ).
fof(f1763,plain,
( ~ sQ32_spl
| ~ sQ61_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1762]) ).
fof(f1764,plain,
( ~ sQ51_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1642,f28]) ).
fof(f1765,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1764]) ).
fof(f1766,plain,
( ~ sQ29_spl
| ~ sQ53_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1679,f199,f239,f153]) ).
fof(f1767,plain,
( ~ sQ8_spl
| ~ sQ34_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1670,f245,f173,f81]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1224,f46]) ).
fof(f1784,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ27_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f404,f1366]) ).
fof(f1785,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1784,f33]) ).
fof(f1786,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1785]) ).
fof(f1787,plain,
( ~ sQ61_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f266,f753]) ).
fof(f1788,plain,
( ~ sQ61_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f266,f754]) ).
fof(f1789,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f266,f854]) ).
fof(f1790,plain,
( ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f266,f752]) ).
fof(f1791,plain,
( ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f266,f751]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f266,f44]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f42]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f266,f40]) ).
fof(f1796,plain,
( ~ sQ61_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1788,f193,f265]) ).
fof(f1797,plain,
( ~ sQ53_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1789,f32]) ).
fof(f1798,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1797]) ).
fof(f1799,plain,
( ~ sQ28_spl
| ~ sQ52_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f923,f268,f236,f150]) ).
fof(f1800,plain,
( ~ sQ51_spl
| ~ sQ14_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f101,f935]) ).
fof(f1801,plain,
( ~ sQ14_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f285]) ).
fof(f1802,plain,
( ~ sQ14_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f101,f284]) ).
fof(f1803,plain,
( ~ sQ14_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f101,f283]) ).
fof(f1808,plain,
( ~ sQ42_spl
| ~ sQ21_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1709,f611]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1709,f44]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1709,f42]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1709,f40]) ).
fof(f1812,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1709,f46]) ).
fof(f1813,plain,
( ~ sQ18_spl
| ~ sQ51_spl
| ~ sQ14_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1800,f511]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ14_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1800,f44]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1800,f42]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ14_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1800,f40]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ14_spl
| product(e_1,X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1800,f46]) ).
fof(f1821,plain,
( ~ sQ51_spl
| ~ sQ14_spl
| ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f920,f1800]) ).
fof(f1822,plain,
( ~ sQ51_spl
| ~ sQ14_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1821,f37]) ).
fof(f1823,plain,
( ~ sQ51_spl
| ~ sQ14_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1822]) ).
fof(f1831,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1224,f46]) ).
fof(f1832,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ25_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1345,f44]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1345,f42]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ25_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1345,f40]) ).
fof(f1835,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ25_spl
| product(e_2,X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1345,f46]) ).
fof(f1842,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f954,f1659]) ).
fof(f1844,plain,
( ~ sQ36_spl
| ~ sQ25_spl
| ~ sQ46_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f532,f1345]) ).
fof(f1846,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1842,f44]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1842,f42]) ).
fof(f1848,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1842,f40]) ).
fof(f1851,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ25_spl
| ~ sQ46_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1844,f44]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ25_spl
| ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1844,f42]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ25_spl
| ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1844,f40]) ).
fof(f1860,plain,
( ~ sQ36_spl
| ~ sQ25_spl
| ~ sQ46_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1832,f1844]) ).
fof(f1861,plain,
( ~ sQ36_spl
| ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1832,f1345]) ).
fof(f1862,plain,
( ~ sQ36_spl
| ~ sQ25_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1860,f27]) ).
fof(f1863,plain,
( ~ sQ36_spl
| ~ sQ25_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1862]) ).
fof(f1864,plain,
( ~ sQ62_spl
| ~ sQ20_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f481,f747]) ).
fof(f1868,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f46]) ).
fof(f1876,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1864,f44]) ).
fof(f1877,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1864,f42]) ).
fof(f1878,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1864,f40]) ).
fof(f1881,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1847,f1842]) ).
fof(f1886,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ56_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f839,f1842]) ).
fof(f1887,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1886,f31]) ).
fof(f1888,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1887]) ).
fof(f1889,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ32_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f733,f1842]) ).
fof(f1890,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1889,f29]) ).
fof(f1891,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1890]) ).
fof(f1892,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ7_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f335,f1659]) ).
fof(f1893,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1892,f32]) ).
fof(f1894,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1893]) ).
fof(f1895,plain,
( ~ sQ20_spl
| ~ sQ58_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f824,f481]) ).
fof(f1896,plain,
( ~ sQ20_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1895,f29]) ).
fof(f1897,plain,
( ~ sQ20_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1896]) ).
fof(f1898,plain,
( ~ sQ40_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f661,f265,f193]) ).
fof(f1906,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1377,f46]) ).
fof(f1915,plain,
( ~ sQ49_spl
| ~ sQ15_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f104,f948]) ).
fof(f1923,plain,
( ~ sQ49_spl
| ~ sQ15_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1915,f167,f103,f226]) ).
fof(f1924,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f935,f104]) ).
fof(f1925,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1924,f55,f232,f103]) ).
fof(f1926,plain,
( ~ sQ15_spl
| ~ sQ49_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f948,f104]) ).
fof(f1927,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| ~ sQ49_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1926,f328]) ).
fof(f1928,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ49_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1926,f519]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ49_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1926,f44]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1926,f42]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1926,f40]) ).
fof(f1932,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ49_spl
| product(e_1,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1926,f46]) ).
fof(f1933,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| ~ sQ49_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1927,f271,f226,f103,f81]) ).
fof(f1934,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1928,f33]) ).
fof(f1935,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1934]) ).
fof(f1936,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f935,f104]) ).
fof(f1937,plain,
( ~ sQ23_spl
| ~ sQ15_spl
| ~ sQ51_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1936,f680]) ).
fof(f1938,plain,
( ~ sQ2_spl
| ~ sQ15_spl
| ~ sQ51_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1936,f958]) ).
fof(f1939,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1936,f44]) ).
fof(f1940,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1936,f42]) ).
fof(f1941,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1936,f40]) ).
fof(f1942,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| product(e_1,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1936,f46]) ).
fof(f1943,plain,
( ~ sQ23_spl
| ~ sQ15_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1937,f32]) ).
fof(f1944,plain,
( ~ sQ23_spl
| ~ sQ15_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1943]) ).
fof(f1948,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1709,f46]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1808,f44]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ21_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1808,f42]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1808,f40]) ).
fof(f1956,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ49_spl
| product(e_1,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1926,f46]) ).
fof(f1959,plain,
( ~ sQ15_spl
| ~ sQ49_spl
| ~ sQ9_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f321,f1926]) ).
fof(f1960,plain,
( ~ sQ15_spl
| ~ sQ49_spl
| ~ sQ9_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1959,f215,f84,f226,f103]) ).
fof(f1964,plain,
( ~ sQ21_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1811,f1709]) ).
fof(f1965,plain,
( ~ sQ15_spl
| ~ sQ49_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1929,f1926]) ).
fof(f1971,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f372,f104]) ).
fof(f1972,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1971,f35]) ).
fof(f1973,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1972]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1377,f46]) ).
fof(f1989,plain,
( ~ sQ23_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1125,f1377]) ).
fof(f1990,plain,
( ~ sQ23_spl
| ~ sQ34_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f652,f1377]) ).
fof(f1991,plain,
( ~ sQ23_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1990,f31]) ).
fof(f1992,plain,
( ~ sQ23_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1991]) ).
fof(f1993,plain,
( ~ sQ52_spl
| ~ sQ30_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f157,f928]) ).
fof(f1994,plain,
( ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f157,f389]) ).
fof(f1995,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f157,f388]) ).
fof(f1996,plain,
( ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f157,f387]) ).
fof(f2001,plain,
( ~ sQ40_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f709,f623]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1993,f42]) ).
fof(f2018,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f788,f709]) ).
fof(f2021,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1546,f1755]) ).
fof(f2023,plain,
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2014,f1993]) ).
fof(f2025,plain,
( ~ sQ40_spl
| ~ sQ24_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f416,f709]) ).
fof(f2026,plain,
( ~ sQ40_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2025,f33]) ).
fof(f2027,plain,
( ~ sQ40_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2026]) ).
fof(f2028,plain,
( ~ sQ36_spl
| ~ sQ49_spl
| ~ sQ14_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1476,f647]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| product(e_4,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1476,f46]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1709,f46]) ).
fof(f2047,plain,
( ~ sQ49_spl
| ~ sQ36_spl
| ~ sQ14_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2028,f946]) ).
fof(f2048,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2028,f44]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2028,f40]) ).
fof(f2058,plain,
( ~ sQ36_spl
| ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2048,f2028]) ).
fof(f2068,plain,
( ~ sQ36_spl
| ~ sQ49_spl
| ~ sQ14_spl
| ~ sQ57_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f832,f2028]) ).
fof(f2069,plain,
( ~ sQ36_spl
| ~ sQ49_spl
| ~ sQ14_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2068,f31]) ).
fof(f2070,plain,
( ~ sQ36_spl
| ~ sQ49_spl
| ~ sQ14_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f2069]) ).
fof(f2071,plain,
( ~ sQ3_spl
| ~ sQ35_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f648,f65]) ).
fof(f2072,plain,
( ~ sQ3_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2071,f31]) ).
fof(f2073,plain,
( ~ sQ3_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2072]) ).
fof(f2074,plain,
( ~ sQ57_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1349,f27]) ).
fof(f2075,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2074]) ).
fof(f2076,plain,
( ~ sQ48_spl
| ~ sQ15_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1659,f954]) ).
fof(f2077,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1659,f44]) ).
fof(f2078,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1659,f42]) ).
fof(f2079,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1659,f40]) ).
fof(f2081,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1993,f390]) ).
fof(f2105,plain,
( ~ sQ40_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f709,f623]) ).
fof(f2128,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f788,f709]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1377,f46]) ).
fof(f2137,plain,
( ~ sQ23_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1120,f798]) ).
fof(f2140,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| ~ sQ26_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f409,f2081]) ).
fof(f2141,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2140,f29]) ).
fof(f2142,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2141]) ).
fof(f2153,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2077,f1659]) ).
fof(f2155,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2079,f1659]) ).
fof(f2156,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f187,f634]) ).
fof(f2157,plain,
( ~ sQ26_spl
| ~ sQ38_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f187,f411]) ).
fof(f2158,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f187,f633]) ).
fof(f2159,plain,
( ~ sQ38_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f187,f632]) ).
fof(f2164,plain,
( ~ sQ26_spl
| ~ sQ38_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2157,f130,f186,f143]) ).
fof(f2166,plain,
( ~ sQ48_spl
| ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1847,f2076]) ).
fof(f2168,plain,
( ~ sQ48_spl
| ~ sQ15_spl
| ~ sQ52_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f926,f2076]) ).
fof(f2169,plain,
( ~ sQ48_spl
| ~ sQ15_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2168,f34]) ).
fof(f2170,plain,
( ~ sQ48_spl
| ~ sQ15_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2169]) ).
fof(f2171,plain,
( ~ sQ23_spl
| ~ sQ31_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f380,f798]) ).
fof(f2172,plain,
( ~ sQ23_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2171,f27]) ).
fof(f2173,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2172]) ).
fof(f2178,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f46]) ).
fof(f2195,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f277,f1659]) ).
fof(f2196,plain,
( ~ sQ37_spl
| ~ sQ26_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f144,f643]) ).
fof(f2197,plain,
( ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f144,f410]) ).
fof(f2199,plain,
( ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f144,f408]) ).
fof(f2206,plain,
( ~ sQ37_spl
| ~ sQ26_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2196,f641]) ).
fof(f2217,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2077,f1659]) ).
fof(f2224,plain,
( ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1224,f980]) ).
fof(f2229,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1224,f46]) ).
fof(f2234,plain,
( ~ sQ48_spl
| ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1847,f2076]) ).
fof(f2235,plain,
( ~ sQ48_spl
| ~ sQ15_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1848,f2076]) ).
fof(f2241,plain,
( ~ sQ43_spl
| ~ sQ9_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f319,f1224]) ).
fof(f2242,plain,
( ~ sQ43_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2241,f31]) ).
fof(f2243,plain,
( ~ sQ43_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2242]) ).
fof(f2244,plain,
( ~ sQ56_spl
| ~ sQ61_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1757,f26]) ).
fof(f2245,plain,
( ~ sQ56_spl
| ~ sQ61_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2244]) ).
fof(f2246,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f224,f44]) ).
fof(f2247,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f224,f42]) ).
fof(f2248,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f224,f40]) ).
fof(f2250,plain,
( ~ sQ48_spl
| ~ sQ14_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f286,f224]) ).
fof(f2251,plain,
( ~ sQ48_spl
| ~ sQ14_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f2250,f159,f100,f223]) ).
fof(f2252,plain,
( ~ sQ40_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f709,f623]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f709,f44]) ).
fof(f2262,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1545,f1755]) ).
fof(f2263,plain,
( ~ sQ40_spl
| ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1546,f1755]) ).
fof(f2266,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f788,f709]) ).
fof(f2271,plain,
( ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f246,f844]) ).
fof(f2272,plain,
( ~ sQ31_spl
| ~ sQ55_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f246,f382]) ).
fof(f2273,plain,
( ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f246,f843]) ).
fof(f2274,plain,
( ~ sQ39_spl
| ~ sQ55_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f246,f626]) ).
fof(f2275,plain,
( ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f246,f842]) ).
fof(f2280,plain,
( ~ sQ31_spl
| ~ sQ55_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2272,f61,f245,f159]) ).
fof(f2281,plain,
( ~ sQ39_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2274,f29]) ).
fof(f2282,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2281]) ).
fof(f2283,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1680,f37]) ).
fof(f2284,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2283]) ).
fof(f2285,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f65,f373]) ).
fof(f2287,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f65,f372]) ).
fof(f2288,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f65,f371]) ).
fof(f2293,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f88,f736]) ).
fof(f2294,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f88,f313]) ).
fof(f2295,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f88,f344]) ).
fof(f2296,plain,
( ~ sQ10_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f88,f312]) ).
fof(f2297,plain,
( ~ sQ58_spl
| ~ sQ10_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f88,f823]) ).
fof(f2298,plain,
( ~ sQ10_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f88,f311]) ).
fof(f2299,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f88,f44]) ).
fof(f2300,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f88,f42]) ).
fof(f2301,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f88,f40]) ).
fof(f2302,plain,
! [X0] :
( ~ sQ10_spl
| product(e_3,X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f88,f46]) ).
fof(f2303,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f2293,f239,f87,f167]) ).
fof(f2304,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2295,f33]) ).
fof(f2305,plain,
( ~ sQ6_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2304]) ).
fof(f2307,plain,
( ~ sQ37_spl
| ~ sQ27_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f147,f643]) ).
fof(f2314,plain,
( ~ sQ37_spl
| ~ sQ27_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f2307,f170,f146,f183]) ).
fof(f2318,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1709,f46]) ).
fof(f2326,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| product(e_1,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1936,f46]) ).
fof(f2329,plain,
( ~ sQ27_spl
| ~ sQ36_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f647,f147]) ).
fof(f2330,plain,
( ~ sQ27_spl
| ~ sQ36_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2329,f226,f180,f146]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f46]) ).
fof(f2340,plain,
( ~ sQ62_spl
| ~ sQ20_spl
| ~ sQ23_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f423,f1864]) ).
fof(f2341,plain,
( ~ sQ62_spl
| ~ sQ20_spl
| ~ sQ23_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f2340,f100,f133,f124,f268]) ).
fof(f2345,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1659,f40]) ).
fof(f2352,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2077,f1659]) ).
fof(f2357,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2345,f1659]) ).
fof(f2364,plain,
( ~ sQ48_spl
| ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1847,f2076]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ23_spl
| product(e_3,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1377,f46]) ).
fof(f2377,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ47_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f525,f1659]) ).
fof(f2378,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2377,f31]) ).
fof(f2379,plain,
( ~ sQ15_spl
| ~ sQ48_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2378]) ).
fof(f2380,plain,
( ~ sQ26_spl
| ~ sQ37_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f2196,f411]) ).
fof(f2381,plain,
( ~ sQ41_spl
| ~ sQ37_spl
| ~ sQ26_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2196,f614]) ).
fof(f2382,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2196,f44]) ).
fof(f2383,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f2196,f42]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2196,f40]) ).
fof(f2385,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ26_spl
| product(e_2,X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f2196,f46]) ).
fof(f2386,plain,
( ~ sQ41_spl
| ~ sQ37_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2381,f30]) ).
fof(f2387,plain,
( ~ sQ41_spl
| ~ sQ37_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2386]) ).
fof(f2388,plain,
( ~ sQ23_spl
| ~ sQ50_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f938,f1377]) ).
fof(f2389,plain,
( ~ sQ23_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2388,f28]) ).
fof(f2390,plain,
( ~ sQ23_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2389]) ).
fof(f2391,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| ~ sQ14_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1476,f629]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1476,f44]) ).
fof(f2393,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1476,f42]) ).
fof(f2394,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1476,f40]) ).
fof(f2395,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| product(e_4,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1476,f46]) ).
fof(f2396,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| ~ sQ14_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f2391,f58,f100,f226,f189]) ).
fof(f2401,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1709,f46]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1993,f44]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1993,f42]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1993,f40]) ).
fof(f2410,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1809,f1709]) ).
fof(f2421,plain,
( ~ sQ54_spl
| ~ sQ30_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f157,f850]) ).
fof(f2422,plain,
( ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f157,f389]) ).
fof(f2424,plain,
( ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f157,f387]) ).
fof(f2429,plain,
( ~ sQ54_spl
| ~ sQ30_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f2421,f124,f156,f242]) ).
fof(f2430,plain,
( ~ sQ16_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f112,f521]) ).
fof(f2431,plain,
( ~ sQ16_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f112,f520]) ).
fof(f2432,plain,
( ~ sQ16_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f112,f519]) ).
fof(f2437,plain,
( ~ sQ16_spl
| ~ sQ6_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f346,f112]) ).
fof(f2438,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ6_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2437,f44]) ).
fof(f2439,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2437,f42]) ).
fof(f2440,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2437,f40]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ6_spl
| product(e_4,X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2437,f46]) ).
fof(f2442,plain,
( ~ sQ16_spl
| ~ sQ6_spl
| ~ sQ52_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f928,f2437]) ).
fof(f2443,plain,
( ~ sQ16_spl
| ~ sQ6_spl
| ~ sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f2442,f223,f236,f74,f111]) ).
fof(f2444,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f759]) ).
fof(f2446,plain,
( ~ sQ52_spl
| ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f263,f926]) ).
fof(f2447,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f758]) ).
fof(f2448,plain,
( ~ sQ12_spl
| ~ sQ60_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f263,f297]) ).
fof(f2449,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f757]) ).
fof(f2454,plain,
( ~ sQ52_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2446,f32]) ).
fof(f2455,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2454]) ).
fof(f2456,plain,
( ~ sQ12_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2448,f35]) ).
fof(f2457,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2456]) ).
fof(f2468,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1224,f46]) ).
fof(f2471,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1309,f1366]) ).
fof(f2474,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ11_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f303,f1366]) ).
fof(f2475,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2474,f36]) ).
fof(f2476,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2475]) ).
fof(f2477,plain,
( ~ sQ8_spl
| ~ sQ32_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f168,f328]) ).
fof(f2478,plain,
( ~ sQ32_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f168,f735]) ).
fof(f2479,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f168,f734]) ).
fof(f2480,plain,
( ~ sQ32_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f168,f733]) ).
fof(f2485,plain,
( ~ sQ8_spl
| ~ sQ32_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2477,f271,f167,f81]) ).
fof(f2486,plain,
( ~ sQ58_spl
| ~ sQ45_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f210,f826]) ).
fof(f2488,plain,
( ~ sQ37_spl
| ~ sQ45_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f210,f641]) ).
fof(f2489,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f210,f535]) ).
fof(f2490,plain,
( ~ sQ45_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f210,f534]) ).
fof(f2495,plain,
( ~ sQ37_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2488,f32]) ).
fof(f2496,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f2495]) ).
fof(f2497,plain,
( ~ sQ53_spl
| ~ sQ31_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f160,f856]) ).
fof(f2498,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f160,f381]) ).
fof(f2499,plain,
( ~ sQ31_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f160,f380]) ).
fof(f2500,plain,
( ~ sQ15_spl
| ~ sQ31_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f160,f275]) ).
fof(f2506,plain,
( ~ sQ53_spl
| ~ sQ31_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f2497,f167,f159,f239]) ).
fof(f2507,plain,
( ~ sQ15_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2500,f37]) ).
fof(f2508,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2507]) ).
fof(f2509,plain,
( ~ sQ51_spl
| ~ sQ14_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1800,f68,f100,f232]) ).
fof(f2510,plain,
( ~ sQ18_spl
| ~ sQ51_spl
| ~ sQ14_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1813,f156,f100,f232,f117]) ).
fof(f2511,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ35_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f649,f1366]) ).
fof(f2512,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2511,f36]) ).
fof(f2513,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2512]) ).
fof(f2514,plain,
( ~ sQ58_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2297,f28]) ).
fof(f2515,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2514]) ).
fof(f2516,plain,
( ~ sQ36_spl
| ~ sQ49_spl
| ~ sQ14_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1476,f647]) ).
fof(f2517,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1476,f44]) ).
fof(f2518,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1476,f42]) ).
fof(f2519,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1476,f40]) ).
fof(f2520,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ14_spl
| product(e_4,X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1476,f46]) ).
fof(f2522,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1709,f530]) ).
fof(f2526,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1709,f46]) ).
fof(f2527,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2522,f26]) ).
fof(f2528,plain,
( ~ sQ46_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2527]) ).
fof(f2529,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f151,f402]) ).
fof(f2531,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f151,f520]) ).
fof(f2532,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f151,f401]) ).
fof(f2533,plain,
( ~ sQ28_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f151,f400]) ).
fof(f2534,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f151,f44]) ).
fof(f2535,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f151,f42]) ).
fof(f2536,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f151,f40]) ).
fof(f2538,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2531,f35]) ).
fof(f2539,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f2538]) ).
fof(f2540,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f272,f741]) ).
fof(f2541,plain,
( ~ sQ63_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f272,f742]) ).
fof(f2542,plain,
( ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f272,f740]) ).
fof(f2543,plain,
( ~ sQ47_spl
| ~ sQ63_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f272,f525]) ).
fof(f2544,plain,
( ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f272,f739]) ).
fof(f2549,plain,
( ~ sQ47_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2543,f29]) ).
fof(f2550,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f2549]) ).
fof(f2560,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1224,f46]) ).
fof(f2561,plain,
( ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f980,f1224]) ).
fof(f2567,plain,
( ~ sQ14_spl
| ~ sQ50_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f230,f286]) ).
fof(f2568,plain,
( ~ sQ50_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f230,f940]) ).
fof(f2569,plain,
( ~ sQ50_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f230,f939]) ).
fof(f2570,plain,
( ~ sQ50_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f230,f938]) ).
fof(f2575,plain,
( ~ sQ14_spl
| ~ sQ50_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2567,f133,f229,f100]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| product(e_1,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1936,f46]) ).
fof(f2588,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1939,f1936]) ).
fof(f2589,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1940,f1936]) ).
fof(f2590,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1941,f1936]) ).
fof(f2591,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1043,f1936]) ).
fof(f2593,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2591,f44]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2591,f42]) ).
fof(f2595,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2591,f40]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl
| product(e_4,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2591,f46]) ).
fof(f2597,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2593,f2591]) ).
fof(f2598,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2594,f2591]) ).
fof(f2599,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2595,f2591]) ).
fof(f2600,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f275,f2591]) ).
fof(f2601,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2600,f35]) ).
fof(f2602,plain,
( ~ sQ15_spl
| ~ sQ51_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2601]) ).
fof(f2603,plain,
( ~ sQ30_spl
| ~ sQ52_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f1993,f390]) ).
fof(f2604,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1993,f44]) ).
fof(f2605,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1993,f42]) ).
fof(f2606,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1993,f40]) ).
fof(f2612,plain,
! [X0] :
( ~ sQ21_spl
| product(e_3,X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1709,f46]) ).
fof(f2613,plain,
( ~ sQ0_spl
| ~ sQ63_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f2541,f1043]) ).
fof(f2617,plain,
! [X0] :
( ~ sQ63_spl
| product(e_1,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2541,f46]) ).
fof(f2619,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2081,f44]) ).
fof(f2620,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ52_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f2081,f42]) ).
fof(f2621,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2081,f40]) ).
fof(f2623,plain,
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2404,f1993]) ).
fof(f2624,plain,
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2405,f1993]) ).
fof(f2625,plain,
( ~ sQ52_spl
| ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2406,f1993]) ).
fof(f2626,plain,
( ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f277]) ).
fof(f2627,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f104,f941]) ).
fof(f2628,plain,
( ~ sQ15_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f104,f276]) ).
fof(f2629,plain,
( ~ sQ63_spl
| ~ sQ15_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f104,f739]) ).
fof(f2630,plain,
( ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f275]) ).
fof(f2631,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f104,f44]) ).
fof(f2632,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f104,f42]) ).
fof(f2633,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f104,f40]) ).
fof(f2634,plain,
! [X0] :
( ~ sQ15_spl
| product(e_4,X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f104,f46]) ).
fof(f2635,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f2627,f111,f103,f229]) ).
fof(f2636,plain,
( ~ sQ63_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2629,f28]) ).
fof(f2637,plain,
( ~ sQ63_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2636]) ).
fof(f2646,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f919,f2541]) ).
fof(f2647,plain,
( ~ sQ63_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f921,f2541]) ).
fof(f2659,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f920,f2541]) ).
fof(f2660,plain,
( ~ sQ63_spl
| ~ sQ4_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f364,f2541]) ).
fof(f2661,plain,
( ~ sQ63_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2660,f34]) ).
fof(f2662,plain,
( ~ sQ63_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2661]) ).
fof(f2664,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f908,f44]) ).
fof(f2665,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f908,f42]) ).
fof(f2666,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f908,f40]) ).
fof(f2671,plain,
! [X0] :
( ~ sQ20_spl
| product(e_3,X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f46]) ).
fof(f2681,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1224,f46]) ).
fof(f2685,plain,
( ~ sQ20_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1361,f481]) ).
fof(f2686,plain,
( ~ sQ20_spl
| ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1876,f908]) ).
fof(f2687,plain,
( ~ sQ20_spl
| ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1877,f908]) ).
fof(f2689,plain,
( ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f980,f1224]) ).
fof(f2691,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1308,f1366]) ).
fof(f2692,plain,
( ~ sQ1_spl
| ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1309,f1366]) ).
fof(f2695,plain,
( ~ sQ53_spl
| ~ sQ31_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f160,f856]) ).
fof(f2696,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f160,f381]) ).
fof(f2697,plain,
( ~ sQ31_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f160,f380]) ).
fof(f2703,plain,
( ~ sQ32_spl
| ~ sQ53_spl
| ~ sQ31_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2695,f735]) ).
fof(f2705,plain,
( ~ sQ32_spl
| ~ sQ53_spl
| ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2695,f734]) ).
fof(f2706,plain,
( ~ sQ32_spl
| ~ sQ53_spl
| ~ sQ31_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2695,f733]) ).
fof(f2707,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2695,f44]) ).
fof(f2708,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f2695,f42]) ).
fof(f2709,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ31_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f2695,f40]) ).
fof(f2710,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ31_spl
| product(e_1,X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2695,f46]) ).
fof(f2712,plain,
( ~ sQ56_spl
| ~ sQ45_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f210,f841]) ).
fof(f2713,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f210,f535]) ).
fof(f2719,plain,
( ~ sQ56_spl
| ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2712,f840]) ).
fof(f2722,plain,
( ~ sQ56_spl
| ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2712,f838]) ).
fof(f2727,plain,
( ~ sQ12_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f1192]) ).
fof(f2729,plain,
( ~ sQ12_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f1191]) ).
fof(f2730,plain,
( ~ sQ12_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f297]) ).
fof(f2735,plain,
( ~ sQ25_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f141,f1353]) ).
fof(f2737,plain,
( ~ sQ25_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f141,f1352]) ).
fof(f2738,plain,
( ~ sQ25_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f141,f1351]) ).
fof(f2743,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f233,f934]) ).
fof(f2745,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f233,f933]) ).
fof(f2746,plain,
( ~ sQ51_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f233,f932]) ).
fof(f2751,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f88,f2301]) ).
fof(f2752,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f88,f736]) ).
fof(f2753,plain,
( ~ sQ10_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f88,f2300]) ).
fof(f2754,plain,
( ~ sQ10_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f88,f2299]) ).
fof(f2759,plain,
( ~ sQ53_spl
| ~ sQ32_spl
| ~ sQ10_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2752,f855]) ).
fof(f2761,plain,
( ~ sQ53_spl
| ~ sQ32_spl
| ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2752,f854]) ).
fof(f2762,plain,
( ~ sQ53_spl
| ~ sQ32_spl
| ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2752,f853]) ).
fof(f2763,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2752,f44]) ).
fof(f2764,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2752,f42]) ).
fof(f2765,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ10_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f2752,f40]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ10_spl
| product(e_2,X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2752,f46]) ).
fof(f2767,plain,
( ~ sQ18_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f118,f510]) ).
fof(f2768,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f118,f337]) ).
fof(f2769,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f118,f509]) ).
fof(f2770,plain,
( ~ sQ18_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f118,f508]) ).
fof(f2775,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2768,f336]) ).
fof(f2777,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2768,f335]) ).
fof(f2778,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2768,f334]) ).
fof(f2783,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f187,f634]) ).
fof(f2785,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f187,f633]) ).
fof(f2786,plain,
( ~ sQ38_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f187,f632]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| sQ18_spl
| sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl
| ~ sQ24_spl
| sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| sQ31_spl
| sQ32_spl
| ~ sQ33_spl
| ~ sQ34_spl
| ~ sQ35_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
| ~ sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| sQ51_spl
| sQ53_spl
| ~ sQ55_spl
| sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP133-1.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:01:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 1.12/0.66 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 1.12/0.66 % SZS output start Saturation for theBenchmark
% See solution above
% 1.12/0.68 % Elapsed time: 0.315810 seconds
% 1.12/0.68 % CPU time: 2.151600 seconds
% 1.12/0.68 % Total memory used: 25.207 MB
% 1.12/0.68 % Net memory used: 24.366 MB
%------------------------------------------------------------------------------