%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP128-1.004 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:54 PM UTC 2026
% Result : Satisfiable 0.19s 0.48s
% Output : Saturation 0.19s
% 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(X,Z1,Z2)
| ~ product(Z1,Y,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(X,Z1,Z2)
| ! [Y] :
( ~ product(Z1,Y,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( product(X0,X2,X3)
| ~ product(X2,X1,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(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(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f104,f44]) ).
fof(f276,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f104,f42]) ).
fof(f277,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f104,f40]) ).
fof(f278,plain,
! [X0] :
( ~ sQ15_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f104,f46]) ).
fof(f279,plain,
( ~ sQ15_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f278,f104]) ).
fof(f280,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f279,f44]) ).
fof(f281,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f279,f42]) ).
fof(f282,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f279,f40]) ).
fof(f284,plain,
( ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f280,f279]) ).
fof(f285,plain,
( ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f281,f279]) ).
fof(f286,plain,
( ~ sQ15_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f281,f104]) ).
fof(f287,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f286,f28]) ).
fof(f288,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f287]) ).
fof(f289,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f101,f44]) ).
fof(f290,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f101,f42]) ).
fof(f291,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f101,f40]) ).
fof(f292,plain,
! [X0] :
( ~ sQ14_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f101,f46]) ).
fof(f293,plain,
( ~ sQ14_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f289,f101]) ).
fof(f294,plain,
( ~ sQ14_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f290,f101]) ).
fof(f295,plain,
( ~ sQ14_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f291,f101]) ).
fof(f296,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f98,f291]) ).
fof(f297,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f98,f44]) ).
fof(f298,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f98,f42]) ).
fof(f299,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f98,f40]) ).
fof(f300,plain,
! [X0] :
( ~ sQ13_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f98,f46]) ).
fof(f301,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f296,f30]) ).
fof(f302,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f301]) ).
fof(f303,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f44]) ).
fof(f304,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f95,f42]) ).
fof(f305,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f95,f40]) ).
fof(f306,plain,
! [X0] :
( ~ sQ12_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f95,f46]) ).
fof(f307,plain,
( ~ sQ12_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f303,f95]) ).
fof(f308,plain,
( ~ sQ12_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f304,f95]) ).
fof(f310,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f91,f44]) ).
fof(f311,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f91,f42]) ).
fof(f312,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f91,f40]) ).
fof(f313,plain,
! [X0] :
( ~ sQ11_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f91,f46]) ).
fof(f314,plain,
( ~ sQ11_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f313,f91]) ).
fof(f315,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f314,f44]) ).
fof(f316,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f314,f42]) ).
fof(f317,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f314,f40]) ).
fof(f319,plain,
( ~ sQ11_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f315,f314]) ).
fof(f320,plain,
( ~ sQ11_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f316,f314]) ).
fof(f321,plain,
( ~ sQ11_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f316,f91]) ).
fof(f322,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f321,f31]) ).
fof(f323,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f322]) ).
fof(f324,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f88,f44]) ).
fof(f325,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f88,f42]) ).
fof(f326,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f88,f40]) ).
fof(f327,plain,
! [X0] :
( ~ sQ10_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f88,f46]) ).
fof(f328,plain,
( ~ sQ10_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f324,f88]) ).
fof(f329,plain,
( ~ sQ10_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f325,f88]) ).
fof(f330,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f326,f88]) ).
fof(f331,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f85,f326]) ).
fof(f332,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f85,f44]) ).
fof(f333,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f85,f42]) ).
fof(f334,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f85,f40]) ).
fof(f335,plain,
! [X0] :
( ~ sQ9_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f85,f46]) ).
fof(f336,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f30]) ).
fof(f337,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f336]) ).
fof(f338,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f82,f304]) ).
fof(f339,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f82,f44]) ).
fof(f340,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f82,f42]) ).
fof(f341,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f82,f40]) ).
fof(f342,plain,
! [X0] :
( ~ sQ8_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f82,f46]) ).
fof(f343,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f338,f29]) ).
fof(f344,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f343]) ).
fof(f345,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f78,f44]) ).
fof(f346,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f78,f42]) ).
fof(f347,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f78,f40]) ).
fof(f348,plain,
! [X0] :
( ~ sQ7_spl
| product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f78,f46]) ).
fof(f349,plain,
( ~ sQ7_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f348,f78]) ).
fof(f350,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f349,f44]) ).
fof(f351,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f349,f42]) ).
fof(f352,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f349,f40]) ).
fof(f354,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f350,f349]) ).
fof(f355,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f351,f349]) ).
fof(f356,plain,
( ~ sQ7_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f351,f78]) ).
fof(f357,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f34]) ).
fof(f358,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f357]) ).
fof(f359,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f75,f44]) ).
fof(f360,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f75,f42]) ).
fof(f361,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f75,f40]) ).
fof(f362,plain,
! [X0] :
( ~ sQ6_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f75,f46]) ).
fof(f363,plain,
( ~ sQ6_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f359,f75]) ).
fof(f364,plain,
( ~ sQ6_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f360,f75]) ).
fof(f366,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f72,f361]) ).
fof(f367,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f72,f333]) ).
fof(f368,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f72,f44]) ).
fof(f369,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f72,f42]) ).
fof(f370,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f72,f40]) ).
fof(f371,plain,
! [X0] :
( ~ sQ5_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f72,f46]) ).
fof(f372,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f30]) ).
fof(f373,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f69,f304]) ).
fof(f375,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f69,f44]) ).
fof(f376,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f69,f42]) ).
fof(f377,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f69,f40]) ).
fof(f378,plain,
! [X0] :
( ~ sQ4_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f69,f46]) ).
fof(f379,plain,
( ~ sQ12_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f32]) ).
fof(f380,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( ~ sQ4_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f375,f69]) ).
fof(f382,plain,
( ~ sQ4_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f376,f69]) ).
fof(f383,plain,
( ~ sQ4_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f377,f69]) ).
fof(f384,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f340,f69]) ).
fof(f385,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f33]) ).
fof(f386,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f367,f33]) ).
fof(f388,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f387]) ).
fof(f389,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f65,f44]) ).
fof(f390,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f65,f42]) ).
fof(f391,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f65,f40]) ).
fof(f393,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f160,f300]) ).
fof(f394,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f160,f44]) ).
fof(f395,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f160,f42]) ).
fof(f396,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f160,f40]) ).
fof(f397,plain,
! [X0] :
( ~ sQ31_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f160,f46]) ).
fof(f398,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f157,f44]) ).
fof(f399,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f157,f42]) ).
fof(f400,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f157,f40]) ).
fof(f401,plain,
! [X0] :
( ~ sQ30_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f157,f46]) ).
fof(f402,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f154,f44]) ).
fof(f403,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f154,f42]) ).
fof(f404,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f154,f40]) ).
fof(f405,plain,
! [X0] :
( ~ sQ29_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f154,f46]) ).
fof(f406,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f151,f44]) ).
fof(f407,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f151,f42]) ).
fof(f408,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f151,f40]) ).
fof(f409,plain,
! [X0] :
( ~ sQ28_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f151,f46]) ).
fof(f410,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f147,f335]) ).
fof(f411,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f147,f44]) ).
fof(f412,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f147,f42]) ).
fof(f413,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f147,f40]) ).
fof(f414,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f147,f46]) ).
fof(f415,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f144,f44]) ).
fof(f416,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f144,f42]) ).
fof(f417,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f144,f40]) ).
fof(f418,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f144,f46]) ).
fof(f419,plain,
( ~ sQ9_spl
| ~ sQ25_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f141,f332]) ).
fof(f420,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f141,f44]) ).
fof(f421,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f141,f42]) ).
fof(f422,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f141,f40]) ).
fof(f423,plain,
! [X0] :
( ~ sQ25_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f141,f46]) ).
fof(f424,plain,
( ~ sQ9_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f419,f34]) ).
fof(f425,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f424]) ).
fof(f426,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f138,f44]) ).
fof(f427,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f138,f42]) ).
fof(f428,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f138,f40]) ).
fof(f429,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f138,f46]) ).
fof(f430,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f393,f44]) ).
fof(f431,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f393,f42]) ).
fof(f432,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f393,f40]) ).
fof(f433,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f393,f46]) ).
fof(f434,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f430,f393]) ).
fof(f435,plain,
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f431,f393]) ).
fof(f436,plain,
( ~ sQ29_spl
| ~ sQ13_spl
| ~ sQ31_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f431,f154]) ).
fof(f437,plain,
( ~ sQ29_spl
| ~ sQ13_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f28]) ).
fof(f438,plain,
( ~ sQ29_spl
| ~ sQ13_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f437]) ).
fof(f439,plain,
( ~ sQ30_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f401,f157]) ).
fof(f440,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f439,f44]) ).
fof(f441,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f439,f42]) ).
fof(f442,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f439,f40]) ).
fof(f444,plain,
( ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f440,f439]) ).
fof(f445,plain,
( ~ sQ30_spl
| ~ sQ28_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f409,f157]) ).
fof(f446,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f414,f144]) ).
fof(f447,plain,
( ~ sQ26_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f144]) ).
fof(f448,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f342,f147]) ).
fof(f449,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ28_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f445,f44]) ).
fof(f450,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ28_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f445,f42]) ).
fof(f451,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f445,f40]) ).
fof(f452,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ28_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f445,f46]) ).
fof(f453,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f446,f44]) ).
fof(f454,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f446,f42]) ).
fof(f455,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f446,f40]) ).
fof(f456,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ27_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f446,f46]) ).
fof(f457,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f448,f44]) ).
fof(f458,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f448,f42]) ).
fof(f459,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f448,f40]) ).
fof(f460,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ8_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f448,f46]) ).
fof(f462,plain,
( ~ sQ26_spl
| ~ sQ30_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f441,f144]) ).
fof(f463,plain,
( ~ sQ30_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f441,f157]) ).
fof(f464,plain,
( ~ sQ26_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f30]) ).
fof(f465,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f457,f448]) ).
fof(f467,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f458,f448]) ).
fof(f468,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f458,f138]) ).
fof(f469,plain,
( ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f458,f151]) ).
fof(f470,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f31]) ).
fof(f471,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f470]) ).
fof(f472,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f389,f65]) ).
fof(f475,plain,
( ~ sQ28_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f406,f151]) ).
fof(f476,plain,
( ~ sQ24_spl
| ~ sQ28_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f407,f138]) ).
fof(f477,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f151]) ).
fof(f478,plain,
( ~ sQ24_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f476,f29]) ).
fof(f479,plain,
( ~ sQ24_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f478]) ).
fof(f480,plain,
( ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f28]) ).
fof(f481,plain,
( ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( ~ sQ5_spl
| ~ sQ23_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f134,f371]) ).
fof(f483,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f134,f44]) ).
fof(f484,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f134,f42]) ).
fof(f485,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f134,f40]) ).
fof(f486,plain,
! [X0] :
( ~ sQ23_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f134,f46]) ).
fof(f487,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| ~ sQ23_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f482,f421]) ).
fof(f488,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ23_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f482,f403]) ).
fof(f489,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f482,f44]) ).
fof(f490,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f482,f42]) ).
fof(f491,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f482,f40]) ).
fof(f492,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ23_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f482,f46]) ).
fof(f493,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f36]) ).
fof(f494,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f495,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f131,f44]) ).
fof(f496,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f131,f42]) ).
fof(f497,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f131,f40]) ).
fof(f499,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f495,f131]) ).
fof(f502,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f128,f497]) ).
fof(f503,plain,
( ~ sQ29_spl
| ~ sQ21_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f128,f403]) ).
fof(f504,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f128,f368]) ).
fof(f505,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f128,f44]) ).
fof(f506,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f128,f42]) ).
fof(f507,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f128,f40]) ).
fof(f508,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f128,f46]) ).
fof(f509,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f502,f30]) ).
fof(f510,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f125,f427]) ).
fof(f512,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f125,f44]) ).
fof(f513,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f125,f42]) ).
fof(f514,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f125,f40]) ).
fof(f515,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f125,f46]) ).
fof(f516,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f33]) ).
fof(f517,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( ~ sQ20_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f513,f125]) ).
fof(f520,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f514,f125]) ).
fof(f521,plain,
( ~ sQ27_spl
| ~ sQ19_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f121,f412]) ).
fof(f522,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f121,f389]) ).
fof(f523,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f121,f44]) ).
fof(f524,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f121,f42]) ).
fof(f525,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f121,f40]) ).
fof(f526,plain,
! [X0] :
( ~ sQ19_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f121,f46]) ).
fof(f527,plain,
( ~ sQ27_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f36]) ).
fof(f528,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f527]) ).
fof(f529,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f118,f44]) ).
fof(f530,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f118,f42]) ).
fof(f531,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f118,f40]) ).
fof(f532,plain,
! [X0] :
( ~ sQ18_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f118,f46]) ).
fof(f533,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f115,f44]) ).
fof(f534,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f115,f42]) ).
fof(f535,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f115,f40]) ).
fof(f536,plain,
! [X0] :
( ~ sQ17_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f115,f46]) ).
fof(f537,plain,
( ~ sQ20_spl
| ~ sQ16_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f112,f513]) ).
fof(f538,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f112,f44]) ).
fof(f539,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f112,f42]) ).
fof(f540,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f112,f40]) ).
fof(f541,plain,
! [X0] :
( ~ sQ16_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f112,f46]) ).
fof(f542,plain,
( ~ sQ20_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f537,f37]) ).
fof(f543,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( ~ sQ5_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f34]) ).
fof(f545,plain,
( ~ sQ5_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f544]) ).
fof(f546,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f216,f44]) ).
fof(f547,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f216,f42]) ).
fof(f548,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f216,f40]) ).
fof(f549,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f216,f46]) ).
fof(f550,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f213,f44]) ).
fof(f551,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f213,f42]) ).
fof(f552,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f213,f40]) ).
fof(f553,plain,
! [X0] :
( ~ sQ46_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f213,f46]) ).
fof(f554,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f210,f44]) ).
fof(f555,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f210,f42]) ).
fof(f556,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f210,f40]) ).
fof(f557,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f210,f46]) ).
fof(f558,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f300,f216]) ).
fof(f559,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f558,f44]) ).
fof(f560,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f558,f42]) ).
fof(f561,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f558,f40]) ).
fof(f562,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ13_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f558,f46]) ).
fof(f563,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f559,f558]) ).
fof(f564,plain,
( ~ sQ17_spl
| ~ sQ47_spl
| ~ sQ13_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f559,f115]) ).
fof(f565,plain,
( ~ sQ17_spl
| ~ sQ47_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f564,f33]) ).
fof(f566,plain,
( ~ sQ17_spl
| ~ sQ47_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f565]) ).
fof(f567,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f410,f44]) ).
fof(f568,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f410,f42]) ).
fof(f569,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f410,f40]) ).
fof(f570,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f410,f46]) ).
fof(f572,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f568,f410]) ).
fof(f573,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f569,f410]) ).
fof(f577,plain,
( ~ sQ18_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f532,f118]) ).
fof(f578,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f553,f210]) ).
fof(f579,plain,
( ~ sQ45_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f557,f210]) ).
fof(f580,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f577,f44]) ).
fof(f581,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f577,f42]) ).
fof(f582,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f577,f40]) ).
fof(f584,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f578,f44]) ).
fof(f585,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f578,f42]) ).
fof(f586,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f578,f40]) ).
fof(f587,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ46_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f578,f46]) ).
fof(f588,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f579,f44]) ).
fof(f589,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f579,f42]) ).
fof(f590,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f579,f40]) ).
fof(f592,plain,
( ~ sQ18_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f580,f577]) ).
fof(f594,plain,
( ~ sQ18_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f581,f118]) ).
fof(f595,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f594,f37]) ).
fof(f596,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( ~ sQ3_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f522,f34]) ).
fof(f598,plain,
( ~ sQ3_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f603,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f584,f578]) ).
fof(f604,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f585,f578]) ).
fof(f605,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f585,f213]) ).
fof(f606,plain,
( ~ sQ46_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f605,f26]) ).
fof(f607,plain,
( ~ sQ46_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f606]) ).
fof(f608,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f207,f44]) ).
fof(f609,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f207,f42]) ).
fof(f610,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f207,f40]) ).
fof(f611,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f207,f46]) ).
fof(f612,plain,
( ~ sQ44_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f608,f207]) ).
fof(f614,plain,
( ~ sQ44_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f610,f207]) ).
fof(f615,plain,
( ~ sQ9_spl
| ~ sQ43_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f203,f335]) ).
fof(f616,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f203,f44]) ).
fof(f617,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f203,f42]) ).
fof(f618,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f203,f40]) ).
fof(f619,plain,
! [X0] :
( ~ sQ43_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f203,f46]) ).
fof(f620,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f615,f44]) ).
fof(f621,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f615,f42]) ).
fof(f622,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f615,f40]) ).
fof(f623,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ43_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f615,f46]) ).
fof(f624,plain,
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f620,f615]) ).
fof(f625,plain,
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f621,f615]) ).
fof(f626,plain,
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f622,f615]) ).
fof(f627,plain,
( ~ sQ9_spl
| ~ sQ43_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f623,f615]) ).
fof(f628,plain,
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f627,f621]) ).
fof(f629,plain,
( ~ sQ43_spl
| ~ sQ9_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f627,f619]) ).
fof(f630,plain,
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f627,f332]) ).
fof(f631,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f627,f44]) ).
fof(f632,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f627,f42]) ).
fof(f633,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f627,f40]) ).
fof(f634,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ43_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f627,f46]) ).
fof(f635,plain,
( ~ sQ9_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f31]) ).
fof(f636,plain,
( ~ sQ9_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f635]) ).
fof(f637,plain,
( ~ sQ24_spl
| ~ sQ42_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f200,f429]) ).
fof(f638,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f200,f44]) ).
fof(f639,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f200,f42]) ).
fof(f640,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f200,f40]) ).
fof(f641,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f200,f46]) ).
fof(f642,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f638,f200]) ).
fof(f644,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f197,f44]) ).
fof(f645,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f197,f42]) ).
fof(f646,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f197,f40]) ).
fof(f648,plain,
( ~ sQ44_spl
| ~ sQ40_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f194,f609]) ).
fof(f649,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f194,f339]) ).
fof(f650,plain,
( ~ sQ24_spl
| ~ sQ40_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f194,f426]) ).
fof(f651,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f194,f44]) ).
fof(f652,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f194,f42]) ).
fof(f653,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f194,f40]) ).
fof(f654,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f194,f46]) ).
fof(f655,plain,
( ~ sQ44_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f648,f29]) ).
fof(f656,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f655]) ).
fof(f657,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f190,f371]) ).
fof(f658,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f190,f44]) ).
fof(f659,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f190,f42]) ).
fof(f660,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f190,f40]) ).
fof(f661,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f190,f46]) ).
fof(f662,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f187,f639]) ).
fof(f663,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f187,f495]) ).
fof(f664,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f187,f44]) ).
fof(f665,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f187,f42]) ).
fof(f666,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f187,f40]) ).
fof(f667,plain,
! [X0] :
( ~ sQ38_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f187,f46]) ).
fof(f668,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f33]) ).
fof(f669,plain,
( ~ sQ42_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f668]) ).
fof(f670,plain,
( ~ sQ5_spl
| ~ sQ37_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f184,f368]) ).
fof(f671,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f184,f44]) ).
fof(f672,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f184,f42]) ).
fof(f673,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f184,f40]) ).
fof(f674,plain,
! [X0] :
( ~ sQ37_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f184,f46]) ).
fof(f675,plain,
( ~ sQ5_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f31]) ).
fof(f676,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f675]) ).
fof(f677,plain,
( ~ sQ44_spl
| ~ sQ36_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f181,f609]) ).
fof(f678,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f181,f44]) ).
fof(f679,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f181,f42]) ).
fof(f680,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f181,f40]) ).
fof(f681,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f181,f46]) ).
fof(f682,plain,
( ~ sQ44_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f32]) ).
fof(f683,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f177,f44]) ).
fof(f685,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f177,f42]) ).
fof(f686,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f177,f40]) ).
fof(f687,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f177,f46]) ).
fof(f688,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f174,f541]) ).
fof(f689,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f174,f44]) ).
fof(f690,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f174,f42]) ).
fof(f691,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f174,f40]) ).
fof(f692,plain,
! [X0] :
( ~ sQ34_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f174,f46]) ).
fof(f693,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f688,f44]) ).
fof(f694,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f688,f42]) ).
fof(f695,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f688,f40]) ).
fof(f696,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f688,f46]) ).
fof(f697,plain,
( ~ sQ41_spl
| ~ sQ45_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f588,f197]) ).
fof(f700,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f693,f688]) ).
fof(f701,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f694,f688]) ).
fof(f702,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f695,f688]) ).
fof(f703,plain,
( ~ sQ39_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f695,f190]) ).
fof(f704,plain,
( ~ sQ39_spl
| ~ sQ16_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f703,f35]) ).
fof(f705,plain,
( ~ sQ39_spl
| ~ sQ16_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f706,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f378,f190]) ).
fof(f707,plain,
( ~ sQ16_spl
| ~ sQ39_spl
| ~ sQ4_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f706,f538]) ).
fof(f708,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f706,f44]) ).
fof(f709,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f706,f42]) ).
fof(f710,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f706,f40]) ).
fof(f711,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f706,f46]) ).
fof(f712,plain,
( ~ sQ16_spl
| ~ sQ39_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f30]) ).
fof(f713,plain,
( ~ sQ16_spl
| ~ sQ39_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f712]) ).
fof(f714,plain,
( ~ sQ41_spl
| ~ sQ9_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f332,f197]) ).
fof(f715,plain,
( ~ sQ41_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f714,f31]) ).
fof(f716,plain,
( ~ sQ41_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f715]) ).
fof(f717,plain,
( ~ sQ41_spl
| ~ sQ45_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f555,f197]) ).
fof(f718,plain,
( ~ sQ41_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f29]) ).
fof(f719,plain,
( ~ sQ41_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( ~ sQ24_spl
| ~ sQ42_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f637,f180,f199,f137]) ).
fof(f721,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ39_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f657,f687]) ).
fof(f722,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f657,f44]) ).
fof(f723,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f657,f42]) ).
fof(f724,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f657,f40]) ).
fof(f725,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ39_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f657,f46]) ).
fof(f726,plain,
( ~ sQ8_spl
| ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ39_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f721,f342]) ).
fof(f727,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f721,f44]) ).
fof(f728,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f721,f42]) ).
fof(f729,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f721,f40]) ).
fof(f730,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ39_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f721,f46]) ).
fof(f731,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f722,f657]) ).
fof(f732,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f723,f657]) ).
fof(f733,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f724,f657]) ).
fof(f734,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ39_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f724,f177]) ).
fof(f735,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f734,f36]) ).
fof(f736,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f735]) ).
fof(f737,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f31]) ).
fof(f738,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f737]) ).
fof(f739,plain,
( ~ sQ24_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f30]) ).
fof(f740,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f739]) ).
fof(f741,plain,
( ~ sQ45_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f579,f196,f209]) ).
fof(f746,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f567,f410]) ).
fof(f749,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ16_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f540,f410]) ).
fof(f750,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f29]) ).
fof(f751,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f750]) ).
fof(f752,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ33_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f171,f567]) ).
fof(f753,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f171,f44]) ).
fof(f754,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f171,f42]) ).
fof(f755,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f171,f40]) ).
fof(f756,plain,
! [X0] :
( ~ sQ33_spl
| product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f171,f46]) ).
fof(f757,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f752,f30]) ).
fof(f758,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( ~ sQ40_spl
| ~ sQ32_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f168,f652]) ).
fof(f760,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f168,f679]) ).
fof(f761,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f168,f44]) ).
fof(f762,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f168,f42]) ).
fof(f763,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f168,f40]) ).
fof(f764,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f168,f46]) ).
fof(f765,plain,
( ~ sQ40_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f759,f36]) ).
fof(f766,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f767,plain,
( ~ sQ12_spl
| ~ sQ63_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f272,f306]) ).
fof(f768,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f272,f44]) ).
fof(f769,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f272,f42]) ).
fof(f770,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f272,f40]) ).
fof(f771,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f272,f46]) ).
fof(f772,plain,
( ~ sQ46_spl
| ~ sQ62_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f269,f550]) ).
fof(f773,plain,
( ~ sQ29_spl
| ~ sQ62_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f269,f405]) ).
fof(f774,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f269,f44]) ).
fof(f775,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f269,f42]) ).
fof(f776,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f269,f40]) ).
fof(f777,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f269,f46]) ).
fof(f778,plain,
( ~ sQ46_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f772,f26]) ).
fof(f779,plain,
( ~ sQ46_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f778]) ).
fof(f780,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f266,f44]) ).
fof(f781,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f266,f42]) ).
fof(f782,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f266,f40]) ).
fof(f783,plain,
! [X0] :
( ~ sQ61_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f266,f46]) ).
fof(f784,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f44]) ).
fof(f785,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f263,f42]) ).
fof(f786,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f263,f40]) ).
fof(f788,plain,
( ~ sQ9_spl
| ~ sQ59_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f259,f335]) ).
fof(f789,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f259,f44]) ).
fof(f790,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f259,f42]) ).
fof(f791,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f259,f40]) ).
fof(f792,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f259,f46]) ).
fof(f800,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f447,f44]) ).
fof(f801,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f447,f42]) ).
fof(f802,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f447,f40]) ).
fof(f804,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f788,f44]) ).
fof(f805,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f788,f42]) ).
fof(f806,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f788,f40]) ).
fof(f807,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ59_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f788,f46]) ).
fof(f808,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f708,f706]) ).
fof(f809,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f709,f706]) ).
fof(f810,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f710,f706]) ).
fof(f813,plain,
( ~ sQ9_spl
| ~ sQ59_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f804,f788]) ).
fof(f814,plain,
( ~ sQ9_spl
| ~ sQ59_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f805,f788]) ).
fof(f815,plain,
( ~ sQ61_spl
| ~ sQ9_spl
| ~ sQ59_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f805,f266]) ).
fof(f816,plain,
( ~ sQ61_spl
| ~ sQ9_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f815,f28]) ).
fof(f817,plain,
( ~ sQ61_spl
| ~ sQ9_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f816]) ).
fof(f818,plain,
( ~ sQ63_spl
| ~ sQ13_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f300,f272]) ).
fof(f819,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ63_spl
| ~ sQ13_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f818,f711]) ).
fof(f820,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f818,f44]) ).
fof(f821,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f818,f42]) ).
fof(f822,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f818,f40]) ).
fof(f823,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ13_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f818,f46]) ).
fof(f824,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ63_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f819,f44]) ).
fof(f825,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ63_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f819,f42]) ).
fof(f826,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ63_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f819,f40]) ).
fof(f827,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ63_spl
| ~ sQ13_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f819,f46]) ).
fof(f828,plain,
( ~ sQ63_spl
| ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f820,f818]) ).
fof(f829,plain,
( ~ sQ63_spl
| ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f821,f818]) ).
fof(f830,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| ~ sQ13_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f821,f266]) ).
fof(f831,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f830,f28]) ).
fof(f832,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f831]) ).
fof(f833,plain,
( ~ sQ63_spl
| ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f822,f818]) ).
fof(f835,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ63_spl
| ~ sQ13_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f825,f819]) ).
fof(f836,plain,
( ~ sQ60_spl
| ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ63_spl
| ~ sQ13_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f825,f263]) ).
fof(f837,plain,
( ~ sQ60_spl
| ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ63_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f26]) ).
fof(f838,plain,
( ~ sQ60_spl
| ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ63_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f839,plain,
( ~ sQ62_spl
| ~ sQ28_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f409,f269]) ).
fof(f840,plain,
( ~ sQ33_spl
| ~ sQ9_spl
| ~ sQ59_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f788,f756]) ).
fof(f841,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ59_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f788,f711]) ).
fof(f845,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ59_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f788,f46]) ).
fof(f846,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f839,f44]) ).
fof(f847,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ28_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f839,f42]) ).
fof(f848,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f839,f40]) ).
fof(f849,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ28_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f839,f46]) ).
fof(f850,plain,
( ~ sQ42_spl
| ~ sQ33_spl
| ~ sQ9_spl
| ~ sQ59_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f840,f641]) ).
fof(f851,plain,
( ~ sQ9_spl
| ~ sQ33_spl
| ~ sQ59_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f840,f332]) ).
fof(f852,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ9_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f840,f44]) ).
fof(f853,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ9_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f840,f42]) ).
fof(f854,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ9_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f840,f40]) ).
fof(f855,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ9_spl
| ~ sQ59_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f840,f46]) ).
fof(f856,plain,
( ~ sQ9_spl
| ~ sQ33_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f28]) ).
fof(f857,plain,
( ~ sQ9_spl
| ~ sQ33_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f856]) ).
fof(f858,plain,
( ~ sQ39_spl
| ~ sQ29_spl
| ~ sQ62_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f773,f661]) ).
fof(f859,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f773,f44]) ).
fof(f860,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f773,f42]) ).
fof(f861,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ62_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f773,f40]) ).
fof(f862,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ62_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f773,f46]) ).
fof(f863,plain,
( ~ sQ39_spl
| ~ sQ29_spl
| ~ sQ62_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f858,f258,f268,f153,f189]) ).
fof(f864,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ13_spl
| ~ sQ31_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f393,f711]) ).
fof(f865,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f393,f44]) ).
fof(f866,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f393,f42]) ).
fof(f867,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f393,f40]) ).
fof(f868,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ31_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f393,f46]) ).
fof(f869,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ13_spl
| ~ sQ31_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f864,f137,f159,f97,f68,f189]) ).
fof(f870,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f783,f263]) ).
fof(f871,plain,
( ~ sQ44_spl
| ~ sQ60_spl
| ~ sQ61_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f870,f611]) ).
fof(f872,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f870,f44]) ).
fof(f873,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f870,f42]) ).
fof(f874,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f870,f40]) ).
fof(f876,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ60_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f871,f44]) ).
fof(f877,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ60_spl
| ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f871,f42]) ).
fof(f878,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ60_spl
| ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f871,f40]) ).
fof(f879,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ60_spl
| ~ sQ61_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f871,f46]) ).
fof(f880,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f872,f870]) ).
fof(f881,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f873,f870]) ).
fof(f882,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f874,f870]) ).
fof(f883,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f874,f263]) ).
fof(f884,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f883,f26]) ).
fof(f885,plain,
( ~ sQ60_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f884]) ).
fof(f890,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ59_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f788,f46]) ).
fof(f891,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f841,f44]) ).
fof(f892,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f841,f42]) ).
fof(f893,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f841,f40]) ).
fof(f894,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ59_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f841,f46]) ).
fof(f895,plain,
( ~ sQ9_spl
| ~ sQ59_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f806,f788]) ).
fof(f896,plain,
( ~ sQ9_spl
| ~ sQ59_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f805,f788]) ).
fof(f897,plain,
( ~ sQ9_spl
| ~ sQ59_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f804,f788]) ).
fof(f899,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ59_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f792,f841]) ).
fof(f900,plain,
( ~ sQ39_spl
| ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ59_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f899,f271,f258,f84,f68,f189]) ).
fof(f901,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f256,f638]) ).
fof(f902,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f256,f418]) ).
fof(f903,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f256,f44]) ).
fof(f904,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f256,f42]) ).
fof(f905,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f256,f40]) ).
fof(f906,plain,
! [X0] :
( ~ sQ58_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f256,f46]) ).
fof(f907,plain,
( ~ sQ42_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f901,f26]) ).
fof(f908,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f907]) ).
fof(f909,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f760,f37]) ).
fof(f910,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f911,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f253,f44]) ).
fof(f912,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f253,f42]) ).
fof(f913,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f253,f40]) ).
fof(f914,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f253,f46]) ).
fof(f915,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f250,f44]) ).
fof(f916,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f250,f42]) ).
fof(f917,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f250,f40]) ).
fof(f918,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f250,f46]) ).
fof(f919,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f246,f44]) ).
fof(f920,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f246,f42]) ).
fof(f921,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f246,f40]) ).
fof(f922,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f246,f46]) ).
fof(f923,plain,
( ~ sQ22_spl
| ~ sQ54_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f243,f495]) ).
fof(f924,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f243,f44]) ).
fof(f925,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f243,f42]) ).
fof(f926,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f243,f40]) ).
fof(f927,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f243,f46]) ).
fof(f928,plain,
( ~ sQ22_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f923,f27]) ).
fof(f929,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f928]) ).
fof(f930,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f240,f44]) ).
fof(f931,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f240,f42]) ).
fof(f932,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f240,f40]) ).
fof(f933,plain,
! [X0] :
( ~ sQ53_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f240,f46]) ).
fof(f934,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f237,f44]) ).
fof(f935,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f237,f42]) ).
fof(f936,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f237,f40]) ).
fof(f937,plain,
! [X0] :
( ~ sQ52_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f237,f46]) ).
fof(f938,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f371,f246]) ).
fof(f939,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f938,f44]) ).
fof(f940,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f938,f42]) ).
fof(f941,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f938,f40]) ).
fof(f942,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f938,f46]) ).
fof(f943,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f939,f938]) ).
fof(f944,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f940,f938]) ).
fof(f946,plain,
( ~ sQ57_spl
| ~ sQ55_spl
| ~ sQ5_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f940,f253]) ).
fof(f949,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f914,f250]) ).
fof(f950,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f949,f265,f252,f249]) ).
fof(f951,plain,
( ~ sQ56_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f918,f250]) ).
fof(f952,plain,
( ~ sQ52_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f937,f237]) ).
fof(f954,plain,
( ~ sQ52_spl
| ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f785,f237]) ).
fof(f955,plain,
( ~ sQ56_spl
| ~ sQ60_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f785,f250]) ).
fof(f956,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f785,f263]) ).
fof(f957,plain,
( ~ sQ52_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f954,f32]) ).
fof(f958,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f957]) ).
fof(f959,plain,
( ~ sQ52_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f952,f262,f236]) ).
fof(f960,plain,
( ~ sQ56_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f955,f29]) ).
fof(f961,plain,
( ~ sQ56_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f962,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f233,f523]) ).
fof(f963,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f233,f44]) ).
fof(f964,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f233,f42]) ).
fof(f965,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f233,f40]) ).
fof(f966,plain,
! [X0] :
( ~ sQ51_spl
| product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f233,f46]) ).
fof(f967,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f27]) ).
fof(f968,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f967]) ).
fof(f969,plain,
( ~ sQ36_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f688,f680]) ).
fof(f972,plain,
( ~ sQ53_spl
| ~ sQ16_spl
| ~ sQ34_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f688,f933]) ).
fof(f973,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f688,f44]) ).
fof(f974,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f688,f42]) ).
fof(f975,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f688,f40]) ).
fof(f976,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f688,f46]) ).
fof(f977,plain,
( ~ sQ53_spl
| ~ sQ16_spl
| ~ sQ34_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f972,f209,f173,f111,f239]) ).
fof(f978,plain,
( ~ sQ57_spl
| ~ sQ55_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f946,f31]) ).
fof(f979,plain,
( ~ sQ57_spl
| ~ sQ55_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f980,plain,
( ~ sQ16_spl
| ~ sQ50_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f230,f541]) ).
fof(f981,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f230,f44]) ).
fof(f982,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f230,f42]) ).
fof(f983,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f230,f40]) ).
fof(f984,plain,
! [X0] :
( ~ sQ50_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f230,f46]) ).
fof(f985,plain,
( ~ sQ16_spl
| ~ sQ50_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f980,f236,f229,f111]) ).
fof(f986,plain,
( ~ sQ61_spl
| ~ sQ49_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f227,f781]) ).
fof(f987,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f227,f756]) ).
fof(f988,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f227,f44]) ).
fof(f989,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f227,f42]) ).
fof(f990,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f227,f40]) ).
fof(f991,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f227,f46]) ).
fof(f992,plain,
( ~ sQ61_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f986,f35]) ).
fof(f993,plain,
( ~ sQ61_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f992]) ).
fof(f995,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f224,f44]) ).
fof(f996,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f224,f42]) ).
fof(f997,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f224,f40]) ).
fof(f998,plain,
! [X0] :
( ~ sQ48_spl
| product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f224,f46]) ).
fof(f1001,plain,
( ~ sQ48_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f998,f224]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1001,f44]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1001,f42]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1001,f40]) ).
fof(f1006,plain,
( ~ sQ48_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1002,f1001]) ).
fof(f1007,plain,
( ~ sQ48_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1003,f1001]) ).
fof(f1008,plain,
( ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1003,f224]) ).
fof(f1009,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1008,f35]) ).
fof(f1010,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f1009]) ).
fof(f1011,plain,
( ~ sQ33_spl
| ~ sQ49_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f987,f252,f226,f170]) ).
fof(f1012,plain,
( ~ sQ34_spl
| ~ sQ2_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f62,f689]) ).
fof(f1013,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f62,f526]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f62,f44]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f62,f42]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f62,f40]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ2_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f62,f46]) ).
fof(f1018,plain,
( ~ sQ34_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1012,f36]) ).
fof(f1019,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( ~ sQ5_spl
| ~ sQ39_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f657,f170,f189,f71]) ).
fof(f1021,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f59,f298]) ).
fof(f1022,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f59,f369]) ).
fof(f1023,plain,
( ~ sQ32_spl
| ~ sQ1_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f59,f764]) ).
fof(f1024,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f59,f988]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f59,f44]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f59,f42]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f59,f40]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ1_spl
| product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f59,f46]) ).
fof(f1029,plain,
( ~ sQ13_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1021,f35]) ).
fof(f1030,plain,
( ~ sQ13_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1029]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f56,f44]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f56,f42]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f56,f40]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ0_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f56,f46]) ).
fof(f1035,plain,
( ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f72,f370]) ).
fof(f1036,plain,
( ~ sQ5_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f72,f369]) ).
fof(f1037,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f72,f681]) ).
fof(f1038,plain,
( ~ sQ53_spl
| ~ sQ5_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f72,f930]) ).
fof(f1039,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f72,f368]) ).
fof(f1044,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1037,f81,f71,f180]) ).
fof(f1045,plain,
( ~ sQ53_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f35]) ).
fof(f1046,plain,
( ~ sQ53_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1045]) ).
fof(f1054,plain,
( ~ sQ0_spl
| ~ sQ50_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f984,f56]) ).
fof(f1055,plain,
( ~ sQ29_spl
| ~ sQ0_spl
| ~ sQ50_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1054,f405]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1054,f44]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1054,f42]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1054,f40]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ50_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1054,f46]) ).
fof(f1060,plain,
( ~ sQ29_spl
| ~ sQ0_spl
| ~ sQ50_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1055,f71,f229,f55,f153]) ).
fof(f1061,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ34_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f692,f410]) ).
fof(f1062,plain,
( ~ sQ27_spl
| ~ sQ9_spl
| ~ sQ34_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1061,f414]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1061,f44]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f1061,f42]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1061,f40]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ34_spl
| product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1061,f46]) ).
fof(f1067,plain,
( ~ sQ4_spl
| ~ sQ27_spl
| ~ sQ9_spl
| ~ sQ34_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1062,f378]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ9_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1062,f44]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ9_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1062,f42]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ9_spl
| ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1062,f40]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ9_spl
| ~ sQ34_spl
| product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1062,f46]) ).
fof(f1072,plain,
( ~ sQ4_spl
| ~ sQ27_spl
| ~ sQ9_spl
| ~ sQ34_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1067,f111,f173,f84,f146,f68]) ).
fof(f1073,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ35_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f687,f410]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1073,f44]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ35_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1073,f42]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1073,f40]) ).
fof(f1082,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ49_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f988,f410]) ).
fof(f1083,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1082,f32]) ).
fof(f1084,plain,
( ~ sQ9_spl
| ~ sQ27_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1083]) ).
fof(f1087,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f263,f406]) ).
fof(f1088,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f784]) ).
fof(f1093,plain,
( ~ sQ28_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1087,f27]) ).
fof(f1094,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1093]) ).
fof(f1095,plain,
( ~ sQ19_spl
| ~ sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1013,f77,f61,f120]) ).
fof(f1096,plain,
( ~ sQ62_spl
| ~ sQ28_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f839,f236,f150,f268]) ).
fof(f1097,plain,
( ~ sQ26_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f447,f130,f143]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f938,f46]) ).
fof(f1102,plain,
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f688,f922]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f688,f46]) ).
fof(f1107,plain,
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1102,f292]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1102,f44]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1102,f42]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1102,f40]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1102,f46]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1107,f44]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1107,f42]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1107,f40]) ).
fof(f1116,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f941,f938]) ).
fof(f1119,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f975,f688]) ).
fof(f1123,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f692,f938]) ).
fof(f1124,plain,
( ~ sQ24_spl
| ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1123,f429]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1123,f44]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1123,f42]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1123,f40]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1123,f46]) ).
fof(f1129,plain,
( ~ sQ24_spl
| ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1124,f236,f173,f71,f245,f137]) ).
fof(f1130,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f448,f991]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ8_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f448,f46]) ).
fof(f1135,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1130,f153,f81,f146,f226]) ).
fof(f1137,plain,
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1109,f1102]) ).
fof(f1138,plain,
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1110,f1102]) ).
fof(f1140,plain,
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1113,f1107]) ).
fof(f1143,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1126,f1123]) ).
fof(f1144,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1127,f1123]) ).
fof(f1145,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| ~ sQ25_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f423,f1123]) ).
fof(f1146,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| ~ sQ25_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f1145,f239,f140,f173,f71,f245]) ).
fof(f1147,plain,
( sQ49_spl
| ~ sQ55_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f938]) ).
fof(f1148,plain,
( sQ49_spl
| ~ sQ55_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1147]) ).
fof(f1149,plain,
( ~ sQ49_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1024,f35]) ).
fof(f1150,plain,
( ~ sQ49_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1151,plain,
( ~ sQ29_spl
| ~ sQ62_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f773,f239,f268,f153]) ).
fof(f1153,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f448,f991]) ).
fof(f1157,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ8_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f448,f46]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ34_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f688,f46]) ).
fof(f1163,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f459,f448]) ).
fof(f1165,plain,
( ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f246,f921]) ).
fof(f1166,plain,
( ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f246,f920]) ).
fof(f1168,plain,
( ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f246,f919]) ).
fof(f1173,plain,
( ~ sQ5_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f72,f369]) ).
fof(f1174,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f72,f368]) ).
fof(f1175,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f72,f681]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1102,f46]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1123,f46]) ).
fof(f1195,plain,
( ~ sQ46_spl
| ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1153,f553]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1153,f44]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1153,f42]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1153,f40]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1153,f46]) ).
fof(f1200,plain,
( ~ sQ46_spl
| ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1195,f143,f81,f146,f226,f212]) ).
fof(f1201,plain,
( ~ sQ59_spl
| ~ sQ36_spl
| ~ sQ5_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1175,f792]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1175,f44]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1175,f42]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1175,f40]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1175,f46]) ).
fof(f1206,plain,
( ~ sQ59_spl
| ~ sQ36_spl
| ~ sQ5_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1201,f103,f71,f180,f258]) ).
fof(f1207,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ47_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f549,f1153]) ).
fof(f1208,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f906,f1175]) ).
fof(f1209,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f458,f448]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1207,f44]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1207,f42]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1207,f40]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1208,f44]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1208,f42]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1208,f40]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1208,f46]) ).
fof(f1220,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f975,f688]) ).
fof(f1221,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f974,f688]) ).
fof(f1222,plain,
( ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f973,f688]) ).
fof(f1223,plain,
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1108,f1102]) ).
fof(f1224,plain,
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1109,f1102]) ).
fof(f1225,plain,
( ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1110,f1102]) ).
fof(f1226,plain,
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1112,f1107]) ).
fof(f1227,plain,
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1113,f1107]) ).
fof(f1228,plain,
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1114,f1107]) ).
fof(f1231,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1127,f1123]) ).
fof(f1232,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1202,f1175]) ).
fof(f1233,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1203,f1175]) ).
fof(f1235,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1197,f1153]) ).
fof(f1236,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1198,f1153]) ).
fof(f1237,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1204,f1175]) ).
fof(f1239,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ47_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1212,f1207]) ).
fof(f1240,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1213,f1207]) ).
fof(f1241,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1216,f1208]) ).
fof(f1242,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1217,f1208]) ).
fof(f1243,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1218,f1208]) ).
fof(f1244,plain,
( ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f370,f72]) ).
fof(f1245,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ0_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1031,f448]) ).
fof(f1246,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1245,f34]) ).
fof(f1247,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1246]) ).
fof(f1248,plain,
( ~ sQ56_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f951,f262,f249]) ).
fof(f1249,plain,
( sQ47_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f1102]) ).
fof(f1250,plain,
( sQ47_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1249]) ).
fof(f1251,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f902,f242,f255,f143]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1208,f46]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ8_spl
| product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f448,f46]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1153,f46]) ).
fof(f1277,plain,
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1112,f1107]) ).
fof(f1278,plain,
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1113,f1107]) ).
fof(f1279,plain,
( ~ sQ14_spl
| ~ sQ55_spl
| ~ sQ16_spl
| ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1114,f1107]) ).
fof(f1283,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f459,f448]) ).
fof(f1284,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f457,f448]) ).
fof(f1285,plain,
( ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f458,f448]) ).
fof(f1286,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1216,f1208]) ).
fof(f1287,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1217,f1208]) ).
fof(f1288,plain,
( ~ sQ36_spl
| ~ sQ5_spl
| ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1218,f1208]) ).
fof(f1289,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1196,f1153]) ).
fof(f1290,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1197,f1153]) ).
fof(f1291,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1198,f1153]) ).
fof(f1292,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1211,f1207]) ).
fof(f1293,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ47_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1212,f1207]) ).
fof(f1294,plain,
( ~ sQ49_spl
| ~ sQ27_spl
| ~ sQ8_spl
| ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1213,f1207]) ).
fof(f1295,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f131,f497]) ).
fof(f1296,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f131,f496]) ).
fof(f1297,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f131,f495]) ).
fof(f1302,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f197,f646]) ).
fof(f1303,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f197,f645]) ).
fof(f1304,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f197,f644]) ).
fof(f1309,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f786]) ).
fof(f1310,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f785]) ).
fof(f1311,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f784]) ).
fof(f1316,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f65,f391]) ).
fof(f1317,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f65,f390]) ).
fof(f1318,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f65,f389]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| sQ14_spl
| ~ sQ15_spl
| sQ16_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| sQ27_spl
| ~ sQ28_spl
| sQ29_spl
| ~ sQ32_spl
| ~ sQ33_spl
| sQ34_spl
| sQ36_spl
| ~ sQ37_spl
| ~ sQ39_spl
| ~ sQ40_spl
| sQ41_spl
| ~ sQ42_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| ~ sQ48_spl
| sQ49_spl
| ~ sQ50_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| sQ58_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP128-1.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 % Computer : n005.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 20 19:59:48 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 0.19/0.48 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.19/0.48 % SZS output start Saturation for theBenchmark
% See solution above
% 0.19/0.52 % Elapsed time: 0.103505 seconds
% 0.19/0.52 % CPU time: 0.427768 seconds
% 0.19/0.52 % Total memory used: 13.310 MB
% 0.19/0.52 % Net memory used: 13.161 MB
%------------------------------------------------------------------------------