%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP125-1.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 12:35:49 PM UTC 2026
% Result : Satisfiable 0.14s 0.40s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(Z1,Z2,X)
| ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f26,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f28,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f29,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f30,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f31,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f32,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f33,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f34,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f35,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f36,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f37,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f38,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f39,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(f40,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f47,plain,
! [X,Z1,Z2] :
( product(Z1,Z2,X)
| ! [Y] :
( ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( product(X2,X3,X0)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( product(X1,X0,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f46,f48]) ).
fof(f51,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f41,f46]) ).
fof(f52,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f51,f46]) ).
fof(f53,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f43,f46]) ).
fof(f54,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f45,f46]) ).
fof(f56,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)],[f39,f26]) ).
fof(f57,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)],[f39,f25]) ).
fof(f58,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)],[f39,f24]) ).
fof(f59,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)],[f39,f23]) ).
fof(f60,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)],[f56,f26]) ).
fof(f61,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)],[f56,f25]) ).
fof(f62,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)],[f56,f24]) ).
fof(f63,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)],[f56,f23]) ).
fof(f64,definition,
( sQ0_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f67,definition,
( sQ1_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f70,definition,
( sQ2_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f73,definition,
( sQ3_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f76,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f60,f64,f67,f70,f73]) ).
fof(f77,definition,
( sQ4_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ4_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,definition,
( sQ5_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( ~ sQ5_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f82,plain,
( sQ5_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,definition,
( sQ6_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ6_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f85,plain,
( sQ6_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,definition,
( sQ7_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ7_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f88,plain,
( sQ7_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f61,f77,f80,f83,f86]) ).
fof(f90,definition,
( sQ8_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( ~ sQ8_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f92,plain,
( sQ8_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ9_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ9_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f95,plain,
( sQ9_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
( sQ10_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ10_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f98,plain,
( sQ10_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,definition,
( sQ11_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ11_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( sQ11_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f62,f90,f93,f96,f99]) ).
fof(f103,definition,
( sQ12_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ12_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( sQ12_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,definition,
( sQ13_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ13_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f108,plain,
( sQ13_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,definition,
( sQ14_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ14_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( sQ14_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,definition,
( sQ15_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ15_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f114,plain,
( sQ15_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f63,f103,f106,f109,f112]) ).
fof(f116,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)],[f57,f26]) ).
fof(f117,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)],[f57,f25]) ).
fof(f118,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)],[f57,f24]) ).
fof(f119,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)],[f57,f23]) ).
fof(f120,definition,
( sQ16_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ16_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f122,plain,
( sQ16_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ17_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ17_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f125,plain,
( sQ17_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,definition,
( sQ18_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( ~ sQ18_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f128,plain,
( sQ18_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,definition,
( sQ19_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ19_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f131,plain,
( sQ19_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f116,f120,f123,f126,f129]) ).
fof(f133,definition,
( sQ20_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ20_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( sQ20_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
( sQ21_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ21_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ21_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ22_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f142,definition,
( sQ23_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ23_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f144,plain,
( sQ23_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f117,f133,f136,f139,f142]) ).
fof(f146,definition,
( sQ24_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ24_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,definition,
( sQ25_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ25_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f151,plain,
( sQ25_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,definition,
( sQ26_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ26_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f154,plain,
( sQ26_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ27_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ27_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f157,plain,
( sQ27_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f118,f146,f149,f152,f155]) ).
fof(f159,definition,
( sQ28_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ28_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ28_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ29_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ29_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( sQ29_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
( sQ30_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ30_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( sQ30_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,definition,
( sQ31_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ31_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f170,plain,
( sQ31_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f119,f159,f162,f165,f168]) ).
fof(f172,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)],[f58,f26]) ).
fof(f173,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)],[f58,f25]) ).
fof(f174,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)],[f58,f24]) ).
fof(f175,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)],[f58,f23]) ).
fof(f176,definition,
( sQ32_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ32_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,definition,
( sQ33_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ33_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ33_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ34_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ34_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f184,plain,
( sQ34_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ35_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ35_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ35_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f172,f176,f179,f182,f185]) ).
fof(f189,definition,
( sQ36_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ36_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f191,plain,
( sQ36_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,definition,
( sQ37_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ37_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f194,plain,
( sQ37_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
( sQ38_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ38_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f197,plain,
( sQ38_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ39_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ39_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f200,plain,
( sQ39_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f173,f189,f192,f195,f198]) ).
fof(f202,definition,
( sQ40_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ40_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( sQ40_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
( sQ41_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f208,definition,
( sQ42_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ42_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f210,plain,
( sQ42_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ43_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ43_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ43_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f174,f202,f205,f208,f211]) ).
fof(f215,definition,
( sQ44_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ44_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( sQ44_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,definition,
( sQ45_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ45_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f220,plain,
( sQ45_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,definition,
( sQ46_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ46_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ47_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ47_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( sQ47_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f175,f215,f218,f221,f224]) ).
fof(f228,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)],[f59,f26]) ).
fof(f229,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)],[f59,f25]) ).
fof(f230,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)],[f59,f24]) ).
fof(f231,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)],[f59,f23]) ).
fof(f232,definition,
( sQ48_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ48_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ48_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ49_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ49_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ49_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ50_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ50_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ51_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ51_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ51_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f228,f232,f235,f238,f241]) ).
fof(f245,definition,
( sQ52_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ52_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ52_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ53_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ53_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ54_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ54_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ54_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ55_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ55_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ55_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f229,f245,f248,f251,f254]) ).
fof(f258,definition,
( sQ56_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ56_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ56_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ57_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ57_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( sQ57_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,definition,
( sQ58_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ58_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f266,plain,
( sQ58_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,definition,
( sQ59_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ59_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f230,f258,f261,f264,f267]) ).
fof(f271,definition,
( sQ60_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f274,definition,
( sQ61_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ61_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f276,plain,
( sQ61_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,definition,
( sQ62_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( ~ sQ62_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f279,plain,
( sQ62_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,definition,
( sQ63_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ63_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( sQ63_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f231,f271,f274,f277,f280]) ).
fof(f285,plain,
( ~ sQ15_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f113,f53]) ).
fof(f286,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f113,f45]) ).
fof(f287,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f113,f43]) ).
fof(f288,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f113,f41]) ).
fof(f289,plain,
! [X0] :
( ~ sQ15_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f113,f48]) ).
fof(f290,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f285,f29]) ).
fof(f291,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f290]) ).
fof(f292,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f110,f45]) ).
fof(f293,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f110,f43]) ).
fof(f294,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f110,f41]) ).
fof(f295,plain,
! [X0] :
( ~ sQ14_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f110,f48]) ).
fof(f299,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f107,f294]) ).
fof(f300,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f107,f45]) ).
fof(f301,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f107,f43]) ).
fof(f302,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f107,f41]) ).
fof(f303,plain,
! [X0] :
( ~ sQ13_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f107,f48]) ).
fof(f304,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f299,f31]) ).
fof(f305,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f306,plain,
( ~ sQ12_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f104,f54]) ).
fof(f307,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f104,f45]) ).
fof(f308,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f104,f43]) ).
fof(f309,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f104,f41]) ).
fof(f310,plain,
! [X0] :
( ~ sQ12_spl
| product(X0,e_1,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f104,f48]) ).
fof(f311,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f306,f36]) ).
fof(f312,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( ~ sQ11_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f100,f53]) ).
fof(f314,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f100,f45]) ).
fof(f315,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f100,f43]) ).
fof(f316,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f100,f41]) ).
fof(f317,plain,
! [X0] :
( ~ sQ11_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f100,f48]) ).
fof(f318,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f313,f32]) ).
fof(f319,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f318]) ).
fof(f320,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f97,f45]) ).
fof(f321,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f97,f43]) ).
fof(f322,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f97,f41]) ).
fof(f323,plain,
! [X0] :
( ~ sQ10_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f97,f48]) ).
fof(f327,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f94,f322]) ).
fof(f328,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f94,f301]) ).
fof(f329,plain,
( ~ sQ9_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f94,f54]) ).
fof(f330,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f94,f45]) ).
fof(f331,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f94,f43]) ).
fof(f332,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f94,f41]) ).
fof(f333,plain,
! [X0] :
( ~ sQ9_spl
| product(X0,e_2,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f94,f48]) ).
fof(f334,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f327,f31]) ).
fof(f335,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f334]) ).
fof(f336,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f91,f45]) ).
fof(f337,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f91,f43]) ).
fof(f338,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f91,f41]) ).
fof(f339,plain,
! [X0] :
( ~ sQ8_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f91,f48]) ).
fof(f343,plain,
( ~ sQ7_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f87,f53]) ).
fof(f344,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f87,f45]) ).
fof(f345,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f87,f43]) ).
fof(f346,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f87,f41]) ).
fof(f347,plain,
! [X0] :
( ~ sQ7_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f87,f48]) ).
fof(f348,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f35]) ).
fof(f349,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( ~ sQ6_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f84,f54]) ).
fof(f351,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f84,f45]) ).
fof(f352,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f84,f43]) ).
fof(f353,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f84,f41]) ).
fof(f354,plain,
! [X0] :
( ~ sQ6_spl
| product(X0,e_3,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f84,f48]) ).
fof(f355,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f350,f38]) ).
fof(f356,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f355]) ).
fof(f357,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f81,f301]) ).
fof(f358,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f81,f45]) ).
fof(f359,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f81,f43]) ).
fof(f360,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f81,f41]) ).
fof(f361,plain,
! [X0] :
( ~ sQ5_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f81,f48]) ).
fof(f362,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f357,f33]) ).
fof(f363,plain,
( ~ sQ13_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f362]) ).
fof(f364,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f78,f337]) ).
fof(f365,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f78,f45]) ).
fof(f366,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f78,f43]) ).
fof(f367,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f78,f41]) ).
fof(f368,plain,
! [X0] :
( ~ sQ4_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f78,f48]) ).
fof(f369,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f34]) ).
fof(f370,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f328,f30]) ).
fof(f372,plain,
( ~ sQ13_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f371]) ).
fof(f376,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f169,f45]) ).
fof(f377,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f169,f43]) ).
fof(f378,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f169,f41]) ).
fof(f379,plain,
! [X0] :
( ~ sQ31_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f169,f48]) ).
fof(f384,plain,
( ~ sQ30_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f166,f53]) ).
fof(f385,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f166,f45]) ).
fof(f386,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f166,f43]) ).
fof(f387,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f166,f41]) ).
fof(f388,plain,
! [X0] :
( ~ sQ30_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f166,f48]) ).
fof(f391,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f163,f300]) ).
fof(f392,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f163,f45]) ).
fof(f393,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f163,f43]) ).
fof(f394,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f163,f41]) ).
fof(f395,plain,
! [X0] :
( ~ sQ29_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f163,f48]) ).
fof(f396,plain,
( ~ sQ13_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f391,f35]) ).
fof(f397,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( ~ sQ28_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f160,f54]) ).
fof(f399,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f160,f45]) ).
fof(f400,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f160,f43]) ).
fof(f401,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f160,f41]) ).
fof(f402,plain,
! [X0] :
( ~ sQ28_spl
| product(X0,e_1,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f160,f48]) ).
fof(f403,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f398,f33]) ).
fof(f404,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f403]) ).
fof(f405,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f28]) ).
fof(f406,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( ~ sQ31_spl
| ~ sQ27_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f156,f377]) ).
fof(f408,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f156,f45]) ).
fof(f409,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f156,f43]) ).
fof(f410,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f156,f41]) ).
fof(f411,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f156,f48]) ).
fof(f412,plain,
( ~ sQ31_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f407,f30]) ).
fof(f413,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f412]) ).
fof(f414,plain,
( ~ sQ10_spl
| ~ sQ26_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f153,f320]) ).
fof(f415,plain,
( ~ sQ26_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f153,f53]) ).
fof(f416,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f153,f45]) ).
fof(f417,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f153,f43]) ).
fof(f418,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f153,f41]) ).
fof(f419,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f153,f48]) ).
fof(f420,plain,
( ~ sQ10_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f414,f35]) ).
fof(f421,plain,
( ~ sQ10_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( ~ sQ25_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f150,f54]) ).
fof(f423,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f150,f45]) ).
fof(f424,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f150,f43]) ).
fof(f425,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f150,f41]) ).
fof(f426,plain,
! [X0] :
( ~ sQ25_spl
| product(X0,e_2,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f150,f48]) ).
fof(f427,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f34]) ).
fof(f428,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f427]) ).
fof(f429,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f147,f45]) ).
fof(f430,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f147,f43]) ).
fof(f431,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f147,f41]) ).
fof(f432,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f147,f48]) ).
fof(f436,plain,
( ~ sQ31_spl
| ~ sQ23_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f377]) ).
fof(f437,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f143,f45]) ).
fof(f438,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f143,f43]) ).
fof(f439,plain,
( ~ sQ23_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f143,f51]) ).
fof(f440,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f143,f41]) ).
fof(f441,plain,
( ~ sQ23_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f143,f49]) ).
fof(f442,plain,
! [X0] :
( ~ sQ23_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f143,f48]) ).
fof(f443,plain,
( ~ sQ31_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f33]) ).
fof(f444,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f443]) ).
fof(f445,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f137,f45]) ).
fof(f446,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f137,f43]) ).
fof(f447,plain,
( ~ sQ21_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f137,f51]) ).
fof(f448,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f137,f41]) ).
fof(f449,plain,
( ~ sQ21_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f137,f49]) ).
fof(f450,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f137,f48]) ).
fof(f451,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f31]) ).
fof(f452,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f134,f430]) ).
fof(f454,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f134,f365]) ).
fof(f455,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f134,f45]) ).
fof(f456,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f134,f43]) ).
fof(f457,plain,
( ~ sQ20_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f134,f51]) ).
fof(f458,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f134,f41]) ).
fof(f459,plain,
( ~ sQ20_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f134,f49]) ).
fof(f460,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f134,f48]) ).
fof(f461,plain,
( ~ sQ24_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f34]) ).
fof(f462,plain,
( ~ sQ24_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f130,f368]) ).
fof(f464,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f130,f377]) ).
fof(f465,plain,
( ~ sQ19_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f130,f54]) ).
fof(f466,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f130,f45]) ).
fof(f467,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f130,f43]) ).
fof(f468,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f130,f41]) ).
fof(f469,plain,
! [X0] :
( ~ sQ19_spl
| product(X0,e_4,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f130,f48]) ).
fof(f470,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f463,f109,f129,f77]) ).
fof(f471,plain,
( ~ sQ31_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f464,f36]) ).
fof(f472,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( ~ sQ18_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f127,f53]) ).
fof(f475,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f127,f45]) ).
fof(f476,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f127,f43]) ).
fof(f477,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f127,f41]) ).
fof(f478,plain,
! [X0] :
( ~ sQ18_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f127,f48]) ).
fof(f480,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f38]) ).
fof(f481,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f124,f368]) ).
fof(f483,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f124,f45]) ).
fof(f484,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f124,f43]) ).
fof(f485,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f124,f41]) ).
fof(f486,plain,
! [X0] :
( ~ sQ17_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f124,f48]) ).
fof(f487,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f482,f45]) ).
fof(f488,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f482,f43]) ).
fof(f489,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f482,f41]) ).
fof(f490,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f482,f48]) ).
fof(f494,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f486,f78]) ).
fof(f495,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f494,f45]) ).
fof(f496,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f494,f43]) ).
fof(f497,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f494,f41]) ).
fof(f498,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f494,f48]) ).
fof(f499,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f121,f485]) ).
fof(f500,plain,
( ~ sQ4_spl
| ~ sQ16_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f121,f368]) ).
fof(f501,plain,
( ~ sQ24_spl
| ~ sQ16_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f121,f430]) ).
fof(f502,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f121,f45]) ).
fof(f503,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f121,f43]) ).
fof(f504,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f121,f41]) ).
fof(f505,plain,
! [X0] :
( ~ sQ16_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f121,f48]) ).
fof(f506,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f27]) ).
fof(f507,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( ~ sQ24_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f37]) ).
fof(f509,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( ~ sQ31_spl
| ~ sQ47_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f225,f376]) ).
fof(f511,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f225,f45]) ).
fof(f512,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f225,f43]) ).
fof(f513,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f225,f41]) ).
fof(f514,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f225,f48]) ).
fof(f515,plain,
( ~ sQ31_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f31]) ).
fof(f516,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f517,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f222,f45]) ).
fof(f518,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f222,f43]) ).
fof(f519,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f222,f41]) ).
fof(f520,plain,
! [X0] :
( ~ sQ46_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f222,f48]) ).
fof(f521,plain,
( ~ sQ13_spl
| ~ sQ45_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f219,f300]) ).
fof(f522,plain,
( ~ sQ45_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f219,f53]) ).
fof(f523,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f219,f45]) ).
fof(f524,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f219,f43]) ).
fof(f525,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f219,f41]) ).
fof(f526,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f219,f48]) ).
fof(f527,plain,
( ~ sQ13_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f32]) ).
fof(f528,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f527]) ).
fof(f529,plain,
( ~ sQ44_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f216,f54]) ).
fof(f530,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f216,f45]) ).
fof(f531,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f216,f43]) ).
fof(f532,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f216,f41]) ).
fof(f533,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_1,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f216,f48]) ).
fof(f534,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f30]) ).
fof(f535,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f534]) ).
fof(f536,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f212,f45]) ).
fof(f537,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f212,f43]) ).
fof(f538,plain,
( ~ sQ43_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f212,f51]) ).
fof(f539,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f212,f41]) ).
fof(f540,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f212,f49]) ).
fof(f541,plain,
! [X0] :
( ~ sQ43_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f212,f48]) ).
fof(f542,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f37]) ).
fof(f543,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( ~ sQ10_spl
| ~ sQ42_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f209,f320]) ).
fof(f545,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f209,f45]) ).
fof(f546,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f209,f43]) ).
fof(f547,plain,
( ~ sQ42_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f209,f51]) ).
fof(f548,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f209,f41]) ).
fof(f549,plain,
( ~ sQ42_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f209,f49]) ).
fof(f550,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f209,f48]) ).
fof(f551,plain,
( ~ sQ10_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f32]) ).
fof(f552,plain,
( ~ sQ10_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( ~ sQ24_spl
| ~ sQ40_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f203,f429]) ).
fof(f554,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f203,f45]) ).
fof(f555,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f203,f43]) ).
fof(f556,plain,
( ~ sQ40_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f203,f51]) ).
fof(f557,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f203,f41]) ).
fof(f558,plain,
( ~ sQ40_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f203,f49]) ).
fof(f559,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f203,f48]) ).
fof(f560,plain,
( ~ sQ24_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f31]) ).
fof(f561,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f199,f432]) ).
fof(f563,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f199,f45]) ).
fof(f564,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f199,f43]) ).
fof(f565,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f199,f41]) ).
fof(f566,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f199,f48]) ).
fof(f574,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f562,f45]) ).
fof(f575,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f562,f43]) ).
fof(f576,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f562,f41]) ).
fof(f577,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f562,f48]) ).
fof(f585,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f566,f147]) ).
fof(f587,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f585,f45]) ).
fof(f588,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f585,f43]) ).
fof(f589,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f585,f41]) ).
fof(f590,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f585,f48]) ).
fof(f595,plain,
( ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ17_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f498,f222]) ).
fof(f597,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f595,f45]) ).
fof(f598,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f595,f43]) ).
fof(f599,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f595,f41]) ).
fof(f608,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f196,f565]) ).
fof(f609,plain,
( ~ sQ24_spl
| ~ sQ38_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f196,f432]) ).
fof(f610,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ38_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f196,f488]) ).
fof(f611,plain,
( ~ sQ38_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f196,f54]) ).
fof(f612,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f196,f45]) ).
fof(f613,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f196,f43]) ).
fof(f614,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f196,f41]) ).
fof(f615,plain,
! [X0] :
( ~ sQ38_spl
| product(X0,e_3,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f196,f48]) ).
fof(f616,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f608,f35]) ).
fof(f617,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( ~ sQ37_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f193,f53]) ).
fof(f620,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f193,f45]) ).
fof(f621,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f193,f43]) ).
fof(f622,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f193,f41]) ).
fof(f623,plain,
! [X0] :
( ~ sQ37_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f193,f48]) ).
fof(f625,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f619,f34]) ).
fof(f626,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f625]) ).
fof(f627,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f190,f432]) ).
fof(f628,plain,
( ~ sQ4_spl
| ~ sQ36_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f190,f365]) ).
fof(f629,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f190,f45]) ).
fof(f630,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f190,f43]) ).
fof(f631,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f190,f41]) ).
fof(f632,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f190,f48]) ).
fof(f633,plain,
( ~ sQ4_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f32]) ).
fof(f634,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f633]) ).
fof(f635,plain,
( ~ sQ24_spl
| ~ sQ38_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f609,f162,f195,f146]) ).
fof(f636,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f610,f33]) ).
fof(f637,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f636]) ).
fof(f641,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f562,f45]) ).
fof(f642,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f562,f43]) ).
fof(f643,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f562,f41]) ).
fof(f644,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f562,f48]) ).
fof(f654,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f590,f562]) ).
fof(f656,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f654,f45]) ).
fof(f657,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f654,f43]) ).
fof(f658,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f654,f41]) ).
fof(f663,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f186,f323]) ).
fof(f664,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ35_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f186,f657]) ).
fof(f665,plain,
( ~ sQ35_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f186,f54]) ).
fof(f666,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f45]) ).
fof(f667,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f186,f43]) ).
fof(f668,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f186,f41]) ).
fof(f669,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_4,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f186,f48]) ).
fof(f670,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f663,f80,f185,f96]) ).
fof(f671,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f38]) ).
fof(f672,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f671]) ).
fof(f673,plain,
( ~ sQ10_spl
| ~ sQ34_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f183,f323]) ).
fof(f674,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ34_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f183,f488]) ).
fof(f675,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ34_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f183,f587]) ).
fof(f676,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f183,f45]) ).
fof(f677,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f183,f43]) ).
fof(f678,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f183,f41]) ).
fof(f679,plain,
! [X0] :
( ~ sQ34_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f183,f48]) ).
fof(f680,plain,
( ~ sQ10_spl
| ~ sQ34_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f673,f136,f182,f96]) ).
fof(f681,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f674,f36]) ).
fof(f682,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f681]) ).
fof(f683,plain,
( ~ sQ10_spl
| ~ sQ33_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f180,f323]) ).
fof(f684,plain,
( ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ33_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f180,f597]) ).
fof(f685,plain,
( ~ sQ33_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f180,f53]) ).
fof(f686,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f180,f45]) ).
fof(f687,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f180,f43]) ).
fof(f688,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f180,f41]) ).
fof(f689,plain,
! [X0] :
( ~ sQ33_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f180,f48]) ).
fof(f690,plain,
( ~ sQ10_spl
| ~ sQ33_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f683,f192,f179,f96]) ).
fof(f691,plain,
( ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f31]) ).
fof(f692,plain,
( ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f691]) ).
fof(f693,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f177,f323]) ).
fof(f694,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f177,f45]) ).
fof(f695,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f177,f43]) ).
fof(f696,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f177,f41]) ).
fof(f697,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f177,f48]) ).
fof(f699,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f693,f45]) ).
fof(f700,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f693,f43]) ).
fof(f701,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f693,f41]) ).
fof(f702,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ32_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f693,f48]) ).
fof(f709,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ63_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f281,f496]) ).
fof(f710,plain,
( ~ sQ31_spl
| ~ sQ63_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f281,f376]) ).
fof(f711,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f281,f45]) ).
fof(f712,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f281,f43]) ).
fof(f713,plain,
( ~ sQ63_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f281,f51]) ).
fof(f714,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f281,f41]) ).
fof(f715,plain,
( ~ sQ63_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f281,f49]) ).
fof(f716,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f281,f48]) ).
fof(f717,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f27]) ).
fof(f718,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f717]) ).
fof(f719,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ62_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f278,f588]) ).
fof(f720,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ62_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f278,f487]) ).
fof(f721,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f278,f45]) ).
fof(f722,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f278,f43]) ).
fof(f723,plain,
( ~ sQ62_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f278,f51]) ).
fof(f724,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f278,f41]) ).
fof(f725,plain,
( ~ sQ62_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f278,f49]) ).
fof(f726,plain,
! [X0] :
( ~ sQ62_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f278,f48]) ).
fof(f727,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f719,f29]) ).
fof(f728,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f727]) ).
fof(f729,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ61_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f275,f700]) ).
fof(f730,plain,
( ~ sQ13_spl
| ~ sQ61_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f275,f300]) ).
fof(f731,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f275,f45]) ).
fof(f732,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f275,f43]) ).
fof(f733,plain,
( ~ sQ61_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f275,f51]) ).
fof(f734,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f275,f41]) ).
fof(f735,plain,
( ~ sQ61_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f275,f49]) ).
fof(f736,plain,
! [X0] :
( ~ sQ61_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f275,f48]) ).
fof(f737,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f729,f28]) ).
fof(f738,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f737]) ).
fof(f739,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ58_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f265,f497]) ).
fof(f740,plain,
( ~ sQ46_spl
| ~ sQ58_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f265,f520]) ).
fof(f741,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ58_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f265,f588]) ).
fof(f742,plain,
( ~ sQ10_spl
| ~ sQ58_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f265,f320]) ).
fof(f743,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f265,f45]) ).
fof(f744,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f265,f43]) ).
fof(f745,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f265,f41]) ).
fof(f746,plain,
! [X0] :
( ~ sQ58_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f265,f48]) ).
fof(f747,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f739,f35]) ).
fof(f748,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f747]) ).
fof(f749,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ57_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f262,f497]) ).
fof(f750,plain,
( ~ sQ46_spl
| ~ sQ57_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f262,f520]) ).
fof(f751,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ57_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f262,f700]) ).
fof(f752,plain,
( ~ sQ57_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f262,f54]) ).
fof(f753,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f262,f45]) ).
fof(f754,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f262,f43]) ).
fof(f755,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f262,f41]) ).
fof(f756,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_2,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f262,f48]) ).
fof(f757,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f32]) ).
fof(f758,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ56_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f259,f497]) ).
fof(f760,plain,
( ~ sQ46_spl
| ~ sQ56_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f259,f520]) ).
fof(f761,plain,
( ~ sQ24_spl
| ~ sQ56_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f259,f429]) ).
fof(f762,plain,
( ~ sQ56_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f259,f53]) ).
fof(f763,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f259,f45]) ).
fof(f764,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f259,f43]) ).
fof(f765,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f259,f41]) ).
fof(f766,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f259,f48]) ).
fof(f767,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f759,f29]) ).
fof(f768,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f769,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ55_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f255,f701]) ).
fof(f770,plain,
( ~ sQ31_spl
| ~ sQ55_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f255,f379]) ).
fof(f771,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ55_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f255,f496]) ).
fof(f772,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ55_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f255,f656]) ).
fof(f773,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f255,f45]) ).
fof(f774,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f255,f43]) ).
fof(f775,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f255,f41]) ).
fof(f776,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f255,f48]) ).
fof(f777,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f769,f37]) ).
fof(f778,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f777]) ).
fof(f779,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ54_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f252,f701]) ).
fof(f780,plain,
( ~ sQ31_spl
| ~ sQ54_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f252,f379]) ).
fof(f781,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ54_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f252,f588]) ).
fof(f782,plain,
( ~ sQ54_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f252,f54]) ).
fof(f783,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f252,f45]) ).
fof(f784,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f252,f43]) ).
fof(f785,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f252,f41]) ).
fof(f786,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_3,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f252,f48]) ).
fof(f787,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f779,f34]) ).
fof(f788,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f787]) ).
fof(f789,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ52_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f246,f701]) ).
fof(f790,plain,
( ~ sQ31_spl
| ~ sQ52_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f246,f379]) ).
fof(f791,plain,
( ~ sQ4_spl
| ~ sQ52_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f246,f365]) ).
fof(f792,plain,
( ~ sQ52_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f246,f53]) ).
fof(f793,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f246,f45]) ).
fof(f794,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f246,f43]) ).
fof(f795,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f246,f41]) ).
fof(f796,plain,
! [X0] :
( ~ sQ52_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f48]) ).
fof(f797,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f27]) ).
fof(f798,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f797]) ).
fof(f799,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ51_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f242,f589]) ).
fof(f800,plain,
( ~ sQ13_spl
| ~ sQ51_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f242,f303]) ).
fof(f801,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ51_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f242,f496]) ).
fof(f802,plain,
( ~ sQ51_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f242,f54]) ).
fof(f803,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f242,f45]) ).
fof(f804,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f242,f43]) ).
fof(f805,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f242,f41]) ).
fof(f806,plain,
! [X0] :
( ~ sQ51_spl
| product(X0,e_4,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f242,f48]) ).
fof(f807,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f799,f38]) ).
fof(f808,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f807]) ).
fof(f809,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ49_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f236,f589]) ).
fof(f810,plain,
( ~ sQ13_spl
| ~ sQ49_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f236,f303]) ).
fof(f811,plain,
( ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ49_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f236,f700]) ).
fof(f812,plain,
( ~ sQ46_spl
| ~ sQ4_spl
| ~ sQ17_spl
| ~ sQ49_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f236,f597]) ).
fof(f813,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f236,f45]) ).
fof(f814,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f236,f43]) ).
fof(f815,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f236,f41]) ).
fof(f816,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f236,f48]) ).
fof(f817,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f31]) ).
fof(f818,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f817]) ).
fof(f819,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ48_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f233,f589]) ).
fof(f820,plain,
( ~ sQ13_spl
| ~ sQ48_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f233,f303]) ).
fof(f821,plain,
( ~ sQ32_spl
| ~ sQ48_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f233,f694]) ).
fof(f822,plain,
( ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f233,f53]) ).
fof(f823,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f233,f45]) ).
fof(f824,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f233,f43]) ).
fof(f825,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f233,f41]) ).
fof(f826,plain,
! [X0] :
( ~ sQ48_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f233,f48]) ).
fof(f827,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f819,f28]) ).
fof(f828,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f827]) ).
fof(f829,plain,
( ~ sQ32_spl
| ~ sQ10_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f97,f697]) ).
fof(f841,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f829,f45]) ).
fof(f842,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f829,f43]) ).
fof(f843,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ10_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f829,f41]) ).
fof(f844,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ10_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f829,f48]) ).
fof(model,axiom,
( sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| sQ31_spl
| sQ32_spl
| ~ sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| sQ39_spl
| ~ sQ40_spl
| sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ59_spl
| sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl
| ~ sQ63_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP125-1.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:03:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.40 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.40 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.050110 seconds
% 0.14/0.43 % CPU time: 0.171207 seconds
% 0.14/0.43 % Total memory used: 17.989 MB
% 0.14/0.43 % Net memory used: 17.611 MB
%------------------------------------------------------------------------------