%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP123-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:35:44 PM UTC 2026
% Result : Satisfiable 0.15s 0.42s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( product(e_4,X,Y)
| product(e_3,X,Y)
| product(e_2,X,Y)
| product(e_1,X,Y)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( product(X,e_4,Y)
| product(X,e_3,Y)
| product(X,e_2,Y)
| product(X,e_1,Y)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] :
( product1(X,Y,e_4)
| product1(X,Y,e_3)
| product1(X,Y,e_2)
| product1(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X,Y] :
( product2(X,Y,e_4)
| product2(X,Y,e_3)
| product2(X,Y,e_2)
| product2(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] : product2(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X,Y,Z1,Z2] :
( product2(Z2,X,Y)
| ~ product1(Z1,Y,Z2)
| ~ product1(X,Y,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
! [X0,X1] :
( product(e_4,X0,X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
! [X0,X1] :
( product(X0,e_4,X1)
| product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f32,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f33,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f35,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f36,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f37,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f38,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f40,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f41,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f42,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f43,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f44,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f45,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f46,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f47,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f48,plain,
! [X0,X1] :
( product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f49,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product1(X0,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f56,plain,
! [X0,X1] :
( product2(X0,X1,e_4)
| product2(X0,X1,e_3)
| product2(X0,X1,e_2)
| product2(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f57,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [X0] : product2(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f64,plain,
! [X,Y,Z2] :
( product2(Z2,X,Y)
| ! [Z1] :
( ~ product1(Z1,Y,Z2)
| ~ product1(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( product2(X3,X0,X1)
| ~ product1(X2,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( product2(X1,X0,X1)
| ~ product1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f55,f65]) ).
fof(f68,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f50,f55]) ).
fof(f69,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f68,f55]) ).
fof(f70,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f52,f55]) ).
fof(f71,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f54,f55]) ).
fof(f72,plain,
! [X0] :
( product(e_4,e_4,X0)
| product(e_3,e_4,X0)
| product(e_2,e_4,X0)
| product(e_1,e_4,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f30,f35]) ).
fof(f73,plain,
! [X0] :
( product(e_4,e_3,X0)
| product(e_3,e_3,X0)
| product(e_2,e_3,X0)
| product(e_1,e_3,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f30,f34]) ).
fof(f74,plain,
! [X0] :
( product(e_4,e_2,X0)
| product(e_3,e_2,X0)
| product(e_2,e_2,X0)
| product(e_1,e_2,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f30,f33]) ).
fof(f75,plain,
! [X0] :
( product(e_4,e_1,X0)
| product(e_3,e_1,X0)
| product(e_2,e_1,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f30,f32]) ).
fof(f76,plain,
! [X0] :
( product(e_4,e_4,X0)
| product(e_4,e_3,X0)
| product(e_4,e_2,X0)
| product(e_4,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f31,f35]) ).
fof(f77,plain,
! [X0] :
( product(e_3,e_4,X0)
| product(e_3,e_3,X0)
| product(e_3,e_2,X0)
| product(e_3,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f31,f34]) ).
fof(f78,plain,
! [X0] :
( product(e_2,e_4,X0)
| product(e_2,e_3,X0)
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f31,f33]) ).
fof(f79,plain,
! [X0] :
( product(e_1,e_4,X0)
| product(e_1,e_3,X0)
| product(e_1,e_2,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f31,f32]) ).
fof(f80,plain,
! [X0] :
( product1(e_4,X0,e_4)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f35]) ).
fof(f81,plain,
! [X0] :
( product1(e_3,X0,e_4)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f34]) ).
fof(f82,plain,
! [X0] :
( product1(e_2,X0,e_4)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f33]) ).
fof(f83,plain,
! [X0] :
( product1(e_1,X0,e_4)
| product1(e_1,X0,e_3)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f32]) ).
fof(f84,plain,
! [X0] :
( product2(e_4,X0,e_4)
| product2(e_4,X0,e_3)
| product2(e_4,X0,e_2)
| product2(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f56,f35]) ).
fof(f85,plain,
! [X0] :
( product2(e_3,X0,e_4)
| product2(e_3,X0,e_3)
| product2(e_3,X0,e_2)
| product2(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f56,f34]) ).
fof(f86,plain,
! [X0] :
( product2(e_2,X0,e_4)
| product2(e_2,X0,e_3)
| product2(e_2,X0,e_2)
| product2(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f56,f33]) ).
fof(f87,plain,
! [X0] :
( product2(e_1,X0,e_4)
| product2(e_1,X0,e_3)
| product2(e_1,X0,e_2)
| product2(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f56,f32]) ).
fof(f88,plain,
( product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f72,f35]) ).
fof(f89,plain,
( product(e_4,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f72,f34]) ).
fof(f90,plain,
( product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f72,f33]) ).
fof(f91,plain,
( product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f72,f32]) ).
fof(f92,definition,
( sQ0_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ0_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,definition,
( sQ1_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f96,plain,
( ~ sQ1_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ2_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ2_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,definition,
( sQ3_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ3_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f88,f92,f95,f98,f101]) ).
fof(f105,definition,
( sQ4_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ4_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ5_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ5_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ6_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ6_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ7_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ7_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f89,f105,f108,f111,f114]) ).
fof(f118,definition,
( sQ8_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ8_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ9_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ9_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ10_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ10_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ11_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ11_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f90,f118,f121,f124,f127]) ).
fof(f131,definition,
( sQ12_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ12_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,definition,
( sQ13_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ13_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ14_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ14_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ15_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ15_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f91,f131,f134,f137,f140]) ).
fof(f144,plain,
( product(e_4,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f73,f35]) ).
fof(f145,plain,
( product(e_4,e_3,e_3)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f73,f34]) ).
fof(f146,plain,
( product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f73,f33]) ).
fof(f147,plain,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f73,f32]) ).
fof(f148,definition,
( sQ16_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ16_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,definition,
( sQ17_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ17_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,definition,
( sQ18_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ18_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
( sQ19_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ19_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f144,f148,f151,f154,f157]) ).
fof(f161,definition,
( sQ20_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ20_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
( sQ21_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ21_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ22_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ22_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ23_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ23_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f145,f161,f164,f167,f170]) ).
fof(f174,definition,
( sQ24_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ24_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ25_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ25_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ26_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ26_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ27_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ27_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f146,f174,f177,f180,f183]) ).
fof(f187,definition,
( sQ28_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ28_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,definition,
( sQ29_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ29_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ30_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ30_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ31_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ31_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f147,f187,f190,f193,f196]) ).
fof(f200,plain,
( product(e_4,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f74,f35]) ).
fof(f201,plain,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f74,f34]) ).
fof(f202,plain,
( product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f74,f33]) ).
fof(f203,plain,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f74,f32]) ).
fof(f204,definition,
( sQ32_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ32_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ33_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ33_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ34_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ34_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ35_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ35_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f200,f204,f207,f210,f213]) ).
fof(f217,definition,
( sQ36_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ36_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
( sQ37_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ37_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,definition,
( sQ38_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ38_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,definition,
( sQ39_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ39_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f201,f217,f220,f223,f226]) ).
fof(f230,definition,
( sQ40_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ40_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ41_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ41_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ42_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ42_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ43_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f202,f230,f233,f236,f239]) ).
fof(f243,definition,
( sQ44_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ44_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ45_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ45_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ46_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ46_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ47_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ47_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f203,f243,f246,f249,f252]) ).
fof(f256,plain,
( product(e_4,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f75,f35]) ).
fof(f257,plain,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f75,f34]) ).
fof(f258,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f75,f33]) ).
fof(f259,plain,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f75,f32]) ).
fof(f260,definition,
( sQ48_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ48_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ49_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ49_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ50_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ50_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ51_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ51_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f256,f260,f263,f266,f269]) ).
fof(f273,definition,
( sQ52_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ52_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ53_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ53_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ54_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ54_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ55_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ55_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f257,f273,f276,f279,f282]) ).
fof(f286,definition,
( sQ56_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ56_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ57_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ57_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ58_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ58_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ59_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ59_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f258,f286,f289,f292,f295]) ).
fof(f299,definition,
( sQ60_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ60_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,definition,
( sQ61_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ61_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ62_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ62_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ63_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ63_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f259,f299,f302,f305,f308]) ).
fof(f312,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f76,f35]) ).
fof(f313,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f76,f34]) ).
fof(f314,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f76,f33]) ).
fof(f315,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f76,f32]) ).
fof(f316,plain,
( sQ3_spl
| sQ19_spl
| sQ35_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f312,f269,f213,f157,f101]) ).
fof(f317,plain,
( sQ7_spl
| sQ23_spl
| sQ39_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f313,f282,f226,f170,f114]) ).
fof(f318,plain,
( sQ11_spl
| sQ27_spl
| sQ43_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f314,f295,f239,f183,f127]) ).
fof(f319,plain,
( sQ15_spl
| sQ31_spl
| sQ47_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f315,f308,f252,f196,f140]) ).
fof(f320,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f77,f35]) ).
fof(f321,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f77,f34]) ).
fof(f322,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f77,f33]) ).
fof(f323,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f77,f32]) ).
fof(f324,plain,
( sQ2_spl
| sQ18_spl
| sQ34_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f320,f266,f210,f154,f98]) ).
fof(f325,plain,
( sQ6_spl
| sQ22_spl
| sQ38_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f321,f279,f223,f167,f111]) ).
fof(f326,plain,
( sQ10_spl
| sQ26_spl
| sQ42_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f322,f292,f236,f180,f124]) ).
fof(f327,plain,
( sQ14_spl
| sQ30_spl
| sQ46_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f323,f305,f249,f193,f137]) ).
fof(f328,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f78,f35]) ).
fof(f329,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f78,f34]) ).
fof(f330,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f78,f33]) ).
fof(f331,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f78,f32]) ).
fof(f332,plain,
( sQ1_spl
| sQ17_spl
| sQ33_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f328,f263,f207,f151,f95]) ).
fof(f333,plain,
( sQ5_spl
| sQ21_spl
| sQ37_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f329,f276,f220,f164,f108]) ).
fof(f334,plain,
( sQ9_spl
| sQ25_spl
| sQ41_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f330,f289,f233,f177,f121]) ).
fof(f335,plain,
( sQ13_spl
| sQ29_spl
| sQ45_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f331,f302,f246,f190,f134]) ).
fof(f336,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f79,f35]) ).
fof(f337,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f79,f34]) ).
fof(f338,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f79,f33]) ).
fof(f339,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f79,f32]) ).
fof(f340,plain,
( sQ0_spl
| sQ16_spl
| sQ32_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f336,f260,f204,f148,f92]) ).
fof(f341,plain,
( sQ4_spl
| sQ20_spl
| sQ36_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f337,f273,f217,f161,f105]) ).
fof(f342,plain,
( sQ8_spl
| sQ24_spl
| sQ40_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f338,f286,f230,f174,f118]) ).
fof(f343,plain,
( sQ12_spl
| sQ28_spl
| sQ44_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f339,f299,f243,f187,f131]) ).
fof(f344,plain,
( product1(e_4,e_4,e_4)
| product1(e_4,e_4,e_3)
| product1(e_4,e_4,e_2)
| product1(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f80,f35]) ).
fof(f345,plain,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f80,f34]) ).
fof(f346,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f80,f33]) ).
fof(f347,plain,
( product1(e_4,e_1,e_4)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f80,f32]) ).
fof(f348,definition,
( sQ64_spl
<=> product1(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f351,definition,
( sQ65_spl
<=> product1(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f354,definition,
( sQ66_spl
<=> product1(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f357,definition,
( sQ67_spl
<=> product1(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f344,f348,f351,f354,f357]) ).
fof(f361,definition,
( sQ68_spl
<=> product1(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ68_spl
| product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ69_spl
<=> product1(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ69_spl
| product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ69_spl
| ~ product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ70_spl
<=> product1(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ70_spl
| product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ70_spl
| ~ product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ71_spl
<=> product1(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ71_spl
| product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ71_spl
| ~ product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f345,f361,f364,f367,f370]) ).
fof(f374,definition,
( sQ72_spl
<=> product1(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ72_spl
| product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( sQ72_spl
| ~ product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ73_spl
<=> product1(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ73_spl
| product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ73_spl
| ~ product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ74_spl
<=> product1(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ74_spl
| product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ74_spl
| ~ product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ75_spl
<=> product1(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ75_spl
| product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ75_spl
| ~ product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f346,f374,f377,f380,f383]) ).
fof(f387,definition,
( sQ76_spl
<=> product1(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ76_spl
| product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f389,plain,
( sQ76_spl
| ~ product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,definition,
( sQ77_spl
<=> product1(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( ~ sQ77_spl
| product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f392,plain,
( sQ77_spl
| ~ product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ78_spl
<=> product1(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ78_spl
| product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f395,plain,
( sQ78_spl
| ~ product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ79_spl
<=> product1(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ79_spl
| product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( sQ79_spl
| ~ product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f347,f387,f390,f393,f396]) ).
fof(f400,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f81,f35]) ).
fof(f401,plain,
( product1(e_3,e_3,e_4)
| product1(e_3,e_3,e_3)
| product1(e_3,e_3,e_2)
| product1(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f81,f34]) ).
fof(f402,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f81,f33]) ).
fof(f403,plain,
( product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f81,f32]) ).
fof(f404,definition,
( sQ80_spl
<=> product1(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ80_spl
| product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( sQ80_spl
| ~ product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,definition,
( sQ81_spl
<=> product1(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ81_spl
| product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,definition,
( sQ82_spl
<=> product1(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ82_spl
| product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f412,plain,
( sQ82_spl
| ~ product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,definition,
( sQ83_spl
<=> product1(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ83_spl
| product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f415,plain,
( sQ83_spl
| ~ product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f400,f404,f407,f410,f413]) ).
fof(f417,definition,
( sQ84_spl
<=> product1(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ84_spl
| product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f419,plain,
( sQ84_spl
| ~ product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
( sQ85_spl
<=> product1(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ85_spl
| product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( sQ85_spl
| ~ product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ86_spl
<=> product1(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f426,definition,
( sQ87_spl
<=> product1(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ87_spl
| product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f428,plain,
( sQ87_spl
| ~ product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f401,f417,f420,f423,f426]) ).
fof(f430,definition,
( sQ88_spl
<=> product1(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ88_spl
| product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ89_spl
<=> product1(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ89_spl
| product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ89_spl
| ~ product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ90_spl
<=> product1(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ90_spl
| product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ90_spl
| ~ product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ91_spl
<=> product1(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ91_spl
| product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( sQ91_spl
| ~ product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f402,f430,f433,f436,f439]) ).
fof(f443,definition,
( sQ92_spl
<=> product1(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ92_spl
| product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ92_spl
| ~ product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ93_spl
<=> product1(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ93_spl
| product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ93_spl
| ~ product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ94_spl
<=> product1(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ94_spl
| product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( sQ94_spl
| ~ product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ95_spl
<=> product1(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ95_spl
| product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( sQ95_spl
| ~ product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f403,f443,f446,f449,f452]) ).
fof(f456,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f82,f35]) ).
fof(f457,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f82,f34]) ).
fof(f458,plain,
( product1(e_2,e_2,e_4)
| product1(e_2,e_2,e_3)
| product1(e_2,e_2,e_2)
| product1(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f82,f33]) ).
fof(f459,plain,
( product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f82,f32]) ).
fof(f460,definition,
( sQ96_spl
<=> product1(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ96_spl
| product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ97_spl
<=> product1(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ97_spl
| product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ97_spl
| ~ product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ98_spl
<=> product1(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ98_spl
| product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( sQ98_spl
| ~ product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
( sQ99_spl
<=> product1(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ99_spl
| product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f471,plain,
( sQ99_spl
| ~ product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f456,f460,f463,f466,f469]) ).
fof(f473,definition,
( sQ100_spl
<=> product1(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ100_spl
| product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( sQ100_spl
| ~ product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ101_spl
<=> product1(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ101_spl
| product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ101_spl
| ~ product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ102_spl
<=> product1(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ102_spl
| product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( sQ102_spl
| ~ product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ103_spl
<=> product1(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ103_spl
| product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ103_spl
| ~ product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f457,f473,f476,f479,f482]) ).
fof(f486,definition,
( sQ104_spl
<=> product1(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ104_spl
| product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( sQ104_spl
| ~ product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ105_spl
<=> product1(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f492,definition,
( sQ106_spl
<=> product1(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ106_spl
| product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ106_spl
| ~ product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ107_spl
<=> product1(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ107_spl
| product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( sQ107_spl
| ~ product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f458,f486,f489,f492,f495]) ).
fof(f499,definition,
( sQ108_spl
<=> product1(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ108_spl
| product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ108_spl
| ~ product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ109_spl
<=> product1(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ109_spl
| product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ109_spl
| ~ product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ110_spl
<=> product1(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ110_spl
| product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ111_spl
<=> product1(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ111_spl
| product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ111_spl
| ~ product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f459,f499,f502,f505,f508]) ).
fof(f512,plain,
( product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f83,f35]) ).
fof(f513,plain,
( product1(e_1,e_3,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f83,f34]) ).
fof(f514,plain,
( product1(e_1,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f83,f33]) ).
fof(f515,plain,
( product1(e_1,e_1,e_4)
| product1(e_1,e_1,e_3)
| product1(e_1,e_1,e_2)
| product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f83,f32]) ).
fof(f516,definition,
( sQ112_spl
<=> product1(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ112_spl
| product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( sQ112_spl
| ~ product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ113_spl
<=> product1(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ113_spl
| product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( sQ113_spl
| ~ product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ114_spl
<=> product1(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ114_spl
| product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,definition,
( sQ115_spl
<=> product1(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( ~ sQ115_spl
| product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f527,plain,
( sQ115_spl
| ~ product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( sQ115_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f512,f516,f519,f522,f525]) ).
fof(f529,definition,
( sQ116_spl
<=> product1(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ116_spl
| product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f531,plain,
( sQ116_spl
| ~ product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ117_spl
<=> product1(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ117_spl
| product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ118_spl
<=> product1(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ118_spl
| product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f537,plain,
( sQ118_spl
| ~ product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
( sQ119_spl
<=> product1(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ119_spl
| product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f540,plain,
( sQ119_spl
| ~ product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f513,f529,f532,f535,f538]) ).
fof(f542,definition,
( sQ120_spl
<=> product1(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ120_spl
| product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( sQ120_spl
| ~ product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ121_spl
<=> product1(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ121_spl
| product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( sQ121_spl
| ~ product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ122_spl
<=> product1(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ122_spl
| product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f550,plain,
( sQ122_spl
| ~ product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ123_spl
<=> product1(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ123_spl
| product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( sQ123_spl
| ~ product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f514,f542,f545,f548,f551]) ).
fof(f555,definition,
( sQ124_spl
<=> product1(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f558,definition,
( sQ125_spl
<=> product1(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ125_spl
| product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( sQ125_spl
| ~ product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ126_spl
<=> product1(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ126_spl
| product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f563,plain,
( sQ126_spl
| ~ product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,definition,
( sQ127_spl
<=> product1(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ127_spl
| product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( sQ127_spl
| ~ product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f515,f555,f558,f561,f564]) ).
fof(f568,plain,
( product2(e_4,e_4,e_4)
| product2(e_4,e_4,e_3)
| product2(e_4,e_4,e_2)
| product2(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f84,f35]) ).
fof(f569,plain,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f84,f34]) ).
fof(f570,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f84,f33]) ).
fof(f571,plain,
( product2(e_4,e_1,e_4)
| product2(e_4,e_1,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f84,f32]) ).
fof(f572,definition,
( sQ128_spl
<=> product2(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ128_spl
| product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f574,plain,
( sQ128_spl
| ~ product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
( sQ129_spl
<=> product2(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ129_spl
| product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f577,plain,
( sQ129_spl
| ~ product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ130_spl
<=> product2(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ130_spl
| product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f580,plain,
( sQ130_spl
| ~ product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
( sQ131_spl
<=> product2(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( sQ131_spl
| sQ130_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f568,f572,f575,f578,f581]) ).
fof(f585,definition,
( sQ132_spl
<=> product2(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ132_spl
| product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( sQ132_spl
| ~ product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,definition,
( sQ133_spl
<=> product2(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ133_spl
| product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,definition,
( sQ134_spl
<=> product2(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ134_spl
| product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( sQ134_spl
| ~ product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,definition,
( sQ135_spl
<=> product2(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ135_spl
| product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( sQ135_spl
| ~ product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,plain,
( sQ135_spl
| sQ134_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f569,f585,f588,f591,f594]) ).
fof(f598,definition,
( sQ136_spl
<=> product2(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( ~ sQ136_spl
| product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ137_spl
<=> product2(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ137_spl
| product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f603,plain,
( sQ137_spl
| ~ product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ138_spl
<=> product2(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ138_spl
| product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f606,plain,
( sQ138_spl
| ~ product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,definition,
( sQ139_spl
<=> product2(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ139_spl
| product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f609,plain,
( sQ139_spl
| ~ product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f570,f598,f601,f604,f607]) ).
fof(f611,definition,
( sQ140_spl
<=> product2(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ140_spl
| product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ140_spl
| ~ product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,definition,
( sQ141_spl
<=> product2(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ141_spl
| product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ141_spl
| ~ product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ142_spl
<=> product2(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ142_spl
| product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
( sQ143_spl
<=> product2(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ143_spl
| product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f622,plain,
( sQ143_spl
| ~ product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f571,f611,f614,f617,f620]) ).
fof(f624,plain,
( product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f85,f35]) ).
fof(f625,plain,
( product2(e_3,e_3,e_4)
| product2(e_3,e_3,e_3)
| product2(e_3,e_3,e_2)
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f85,f34]) ).
fof(f626,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f85,f33]) ).
fof(f627,plain,
( product2(e_3,e_1,e_4)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f85,f32]) ).
fof(f628,definition,
( sQ144_spl
<=> product2(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ144_spl
| product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,definition,
( sQ145_spl
<=> product2(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f632,plain,
( ~ sQ145_spl
| product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f633,plain,
( sQ145_spl
| ~ product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,definition,
( sQ146_spl
<=> product2(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f635,plain,
( ~ sQ146_spl
| product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f636,plain,
( sQ146_spl
| ~ product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,definition,
( sQ147_spl
<=> product2(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ147_spl
| product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f639,plain,
( sQ147_spl
| ~ product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,plain,
( sQ147_spl
| sQ146_spl
| sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f624,f628,f631,f634,f637]) ).
fof(f641,definition,
( sQ148_spl
<=> product2(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ148_spl
| product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f643,plain,
( sQ148_spl
| ~ product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,definition,
( sQ149_spl
<=> product2(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( ~ sQ149_spl
| product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f646,plain,
( sQ149_spl
| ~ product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,definition,
( sQ150_spl
<=> product2(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f650,definition,
( sQ151_spl
<=> product2(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ151_spl
| product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f652,plain,
( sQ151_spl
| ~ product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,plain,
( sQ151_spl
| sQ150_spl
| sQ149_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f625,f641,f644,f647,f650]) ).
fof(f654,definition,
( sQ152_spl
<=> product2(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ152_spl
| product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f656,plain,
( sQ152_spl
| ~ product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,definition,
( sQ153_spl
<=> product2(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( ~ sQ153_spl
| product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f659,plain,
( sQ153_spl
| ~ product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,definition,
( sQ154_spl
<=> product2(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ154_spl
| product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f662,plain,
( sQ154_spl
| ~ product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,definition,
( sQ155_spl
<=> product2(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ155_spl
| product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( sQ155_spl
| sQ154_spl
| sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f626,f654,f657,f660,f663]) ).
fof(f667,definition,
( sQ156_spl
<=> product2(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ156_spl
| product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f669,plain,
( sQ156_spl
| ~ product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
( sQ157_spl
<=> product2(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ157_spl
| product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,definition,
( sQ158_spl
<=> product2(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ158_spl
| product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f675,plain,
( sQ158_spl
| ~ product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ159_spl
<=> product2(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ159_spl
| product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f678,plain,
( sQ159_spl
| ~ product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( sQ159_spl
| sQ158_spl
| sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f627,f667,f670,f673,f676]) ).
fof(f680,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f86,f35]) ).
fof(f681,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f86,f34]) ).
fof(f682,plain,
( product2(e_2,e_2,e_4)
| product2(e_2,e_2,e_3)
| product2(e_2,e_2,e_2)
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f86,f33]) ).
fof(f683,plain,
( product2(e_2,e_1,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f86,f32]) ).
fof(f684,definition,
( sQ160_spl
<=> product2(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ160_spl
| product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( sQ160_spl
| ~ product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ161_spl
<=> product2(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ161_spl
| product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f689,plain,
( sQ161_spl
| ~ product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ162_spl
<=> product2(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ162_spl
| product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ163_spl
<=> product2(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ163_spl
| product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( sQ163_spl
| ~ product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,plain,
( sQ163_spl
| sQ162_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f680,f684,f687,f690,f693]) ).
fof(f697,definition,
( sQ164_spl
<=> product2(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ164_spl
| product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ165_spl
<=> product2(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ165_spl
| product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f702,plain,
( sQ165_spl
| ~ product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,definition,
( sQ166_spl
<=> product2(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ166_spl
| product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f705,plain,
( sQ166_spl
| ~ product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ167_spl
<=> product2(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ167_spl
| product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f708,plain,
( sQ167_spl
| ~ product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( sQ167_spl
| sQ166_spl
| sQ165_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f681,f697,f700,f703,f706]) ).
fof(f710,definition,
( sQ168_spl
<=> product2(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ168_spl
| product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f712,plain,
( sQ168_spl
| ~ product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,definition,
( sQ169_spl
<=> product2(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f716,definition,
( sQ170_spl
<=> product2(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ170_spl
| product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f718,plain,
( sQ170_spl
| ~ product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,definition,
( sQ171_spl
<=> product2(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f720,plain,
( ~ sQ171_spl
| product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f721,plain,
( sQ171_spl
| ~ product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( sQ171_spl
| sQ170_spl
| sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f682,f710,f713,f716,f719]) ).
fof(f723,definition,
( sQ172_spl
<=> product2(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( ~ sQ172_spl
| product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f725,plain,
( sQ172_spl
| ~ product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,definition,
( sQ173_spl
<=> product2(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f727,plain,
( ~ sQ173_spl
| product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f728,plain,
( sQ173_spl
| ~ product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,definition,
( sQ174_spl
<=> product2(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( ~ sQ174_spl
| product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f731,plain,
( sQ174_spl
| ~ product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,definition,
( sQ175_spl
<=> product2(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( ~ sQ175_spl
| product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( sQ175_spl
| sQ174_spl
| sQ173_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f683,f723,f726,f729,f732]) ).
fof(f736,plain,
( product2(e_1,e_4,e_4)
| product2(e_1,e_4,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f87,f35]) ).
fof(f737,plain,
( product2(e_1,e_3,e_4)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f87,f34]) ).
fof(f738,plain,
( product2(e_1,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f87,f33]) ).
fof(f739,plain,
( product2(e_1,e_1,e_4)
| product2(e_1,e_1,e_3)
| product2(e_1,e_1,e_2)
| product2(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f87,f32]) ).
fof(f740,definition,
( sQ176_spl
<=> product2(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ176_spl
| product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f742,plain,
( sQ176_spl
| ~ product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,definition,
( sQ177_spl
<=> product2(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ177_spl
| product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f745,plain,
( sQ177_spl
| ~ product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ178_spl
<=> product2(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ178_spl
| product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f748,plain,
( sQ178_spl
| ~ product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ179_spl
<=> product2(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ179_spl
| product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f751,plain,
( sQ179_spl
| ~ product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f736,f740,f743,f746,f749]) ).
fof(f753,definition,
( sQ180_spl
<=> product2(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ180_spl
| product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f755,plain,
( sQ180_spl
| ~ product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,definition,
( sQ181_spl
<=> product2(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ181_spl
| product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f758,plain,
( sQ181_spl
| ~ product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,definition,
( sQ182_spl
<=> product2(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ182_spl
| product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f761,plain,
( sQ182_spl
| ~ product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,definition,
( sQ183_spl
<=> product2(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ183_spl
| product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( sQ183_spl
| sQ182_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f737,f753,f756,f759,f762]) ).
fof(f766,definition,
( sQ184_spl
<=> product2(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( ~ sQ184_spl
| product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f768,plain,
( sQ184_spl
| ~ product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,definition,
( sQ185_spl
<=> product2(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ185_spl
| product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f771,plain,
( sQ185_spl
| ~ product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
( sQ186_spl
<=> product2(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ186_spl
| product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,definition,
( sQ187_spl
<=> product2(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ187_spl
| product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f777,plain,
( sQ187_spl
| ~ product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( sQ187_spl
| sQ186_spl
| sQ185_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f738,f766,f769,f772,f775]) ).
fof(f779,definition,
( sQ188_spl
<=> product2(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f782,definition,
( sQ189_spl
<=> product2(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ189_spl
| product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f784,plain,
( sQ189_spl
| ~ product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,definition,
( sQ190_spl
<=> product2(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ190_spl
| product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f787,plain,
( sQ190_spl
| ~ product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,definition,
( sQ191_spl
<=> product2(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ191_spl
| product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f790,plain,
( sQ191_spl
| ~ product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( sQ191_spl
| sQ190_spl
| sQ189_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f739,f779,f782,f785,f788]) ).
fof(f794,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X0,X1) ),
inference(resolution,[status(thm)],[f58,f63]) ).
fof(f796,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f60,f63]) ).
fof(f798,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product2(X0,X1,X1) ),
inference(resolution,[status(thm)],[f62,f63]) ).
fof(f800,plain,
( ~ sQ79_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f397,f70]) ).
fof(f801,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f397,f54]) ).
fof(f802,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f397,f52]) ).
fof(f803,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f397,f50]) ).
fof(f804,plain,
! [X0] :
( ~ sQ79_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f397,f65]) ).
fof(f805,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f800,f38]) ).
fof(f806,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f805]) ).
fof(f807,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f394,f54]) ).
fof(f808,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f394,f52]) ).
fof(f809,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f394,f50]) ).
fof(f810,plain,
! [X0] :
( ~ sQ78_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f65]) ).
fof(f814,plain,
( ~ sQ78_spl
| ~ sQ77_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f391,f809]) ).
fof(f815,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f391,f54]) ).
fof(f816,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f391,f52]) ).
fof(f817,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f391,f50]) ).
fof(f818,plain,
! [X0] :
( ~ sQ77_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f391,f65]) ).
fof(f819,plain,
( ~ sQ78_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f814,f40]) ).
fof(f820,plain,
( ~ sQ78_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f819]) ).
fof(f821,plain,
( ~ sQ76_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f388,f71]) ).
fof(f822,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f388,f54]) ).
fof(f823,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f388,f52]) ).
fof(f824,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f388,f50]) ).
fof(f825,plain,
( ~ sQ76_spl
| product2(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f388,f66]) ).
fof(f826,plain,
! [X0] :
( ~ sQ76_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f388,f65]) ).
fof(f827,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f45]) ).
fof(f828,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f827]) ).
fof(f829,plain,
( ~ sQ75_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f384,f70]) ).
fof(f830,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f384,f54]) ).
fof(f831,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f384,f52]) ).
fof(f832,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f384,f50]) ).
fof(f833,plain,
! [X0] :
( ~ sQ75_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f384,f65]) ).
fof(f834,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f829,f41]) ).
fof(f835,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f834]) ).
fof(f836,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f381,f54]) ).
fof(f837,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f381,f52]) ).
fof(f838,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f381,f50]) ).
fof(f839,plain,
! [X0] :
( ~ sQ74_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f381,f65]) ).
fof(f843,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f378,f838]) ).
fof(f844,plain,
( ~ sQ77_spl
| ~ sQ73_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f378,f816]) ).
fof(f845,plain,
( ~ sQ73_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f378,f71]) ).
fof(f846,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f378,f54]) ).
fof(f847,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f378,f52]) ).
fof(f848,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f378,f50]) ).
fof(f849,plain,
( ~ sQ73_spl
| product2(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f378,f66]) ).
fof(f850,plain,
! [X0] :
( ~ sQ73_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f378,f65]) ).
fof(f851,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f40]) ).
fof(f852,plain,
( ~ sQ74_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f853,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f375,f54]) ).
fof(f854,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f375,f52]) ).
fof(f855,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f375,f50]) ).
fof(f856,plain,
! [X0] :
( ~ sQ72_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f375,f65]) ).
fof(f860,plain,
( ~ sQ71_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f371,f70]) ).
fof(f861,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f371,f54]) ).
fof(f862,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f371,f52]) ).
fof(f863,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f371,f50]) ).
fof(f864,plain,
! [X0] :
( ~ sQ71_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f371,f65]) ).
fof(f865,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f860,f44]) ).
fof(f866,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f865]) ).
fof(f867,plain,
( ~ sQ70_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f368,f71]) ).
fof(f868,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f368,f54]) ).
fof(f869,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f368,f52]) ).
fof(f870,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f368,f50]) ).
fof(f871,plain,
( ~ sQ70_spl
| product2(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f368,f66]) ).
fof(f872,plain,
! [X0] :
( ~ sQ70_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f65]) ).
fof(f873,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f867,f47]) ).
fof(f874,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f873]) ).
fof(f875,plain,
( ~ sQ77_spl
| ~ sQ69_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f365,f816]) ).
fof(f876,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f365,f54]) ).
fof(f877,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f365,f52]) ).
fof(f878,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f365,f50]) ).
fof(f879,plain,
! [X0] :
( ~ sQ69_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f365,f65]) ).
fof(f880,plain,
( ~ sQ77_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f875,f42]) ).
fof(f881,plain,
( ~ sQ77_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f880]) ).
fof(f882,plain,
( ~ sQ72_spl
| ~ sQ68_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f362,f854]) ).
fof(f883,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f362,f54]) ).
fof(f884,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f362,f52]) ).
fof(f885,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f362,f50]) ).
fof(f886,plain,
! [X0] :
( ~ sQ68_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f362,f65]) ).
fof(f887,plain,
( ~ sQ72_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f882,f43]) ).
fof(f888,plain,
( ~ sQ72_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f887]) ).
fof(f889,plain,
( ~ sQ77_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f844,f39]) ).
fof(f890,plain,
( ~ sQ77_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f889]) ).
fof(f894,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f453,f818]) ).
fof(f895,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f453,f54]) ).
fof(f896,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f453,f52]) ).
fof(f897,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f453,f50]) ).
fof(f898,plain,
! [X0] :
( ~ sQ95_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f453,f65]) ).
fof(f899,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ95_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f894,f62]) ).
fof(f900,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ95_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f894,f60]) ).
fof(f901,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ95_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f894,f58]) ).
fof(f909,plain,
( ~ sQ95_spl
| ~ sQ94_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f450,f898]) ).
fof(f910,plain,
( ~ sQ94_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f450,f70]) ).
fof(f911,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f450,f54]) ).
fof(f912,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f450,f52]) ).
fof(f913,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f450,f50]) ).
fof(f914,plain,
! [X0] :
( ~ sQ94_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f450,f65]) ).
fof(f917,plain,
( ~ sQ77_spl
| ~ sQ93_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f447,f815]) ).
fof(f918,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f447,f54]) ).
fof(f919,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f447,f52]) ).
fof(f920,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f50]) ).
fof(f921,plain,
! [X0] :
( ~ sQ93_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f447,f65]) ).
fof(f922,plain,
( ~ sQ77_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f917,f44]) ).
fof(f923,plain,
( ~ sQ77_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f922]) ).
fof(f924,plain,
( ~ sQ92_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f444,f71]) ).
fof(f925,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f444,f54]) ).
fof(f926,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f444,f52]) ).
fof(f927,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f444,f50]) ).
fof(f928,plain,
( ~ sQ92_spl
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f444,f66]) ).
fof(f929,plain,
! [X0] :
( ~ sQ92_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f444,f65]) ).
fof(f930,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f924,f42]) ).
fof(f931,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f930]) ).
fof(f932,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f910,f37]) ).
fof(f933,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f932]) ).
fof(f940,plain,
( ~ sQ95_spl
| ~ sQ91_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f440,f896]) ).
fof(f941,plain,
( ~ sQ74_spl
| ~ sQ91_spl
| product2(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f440,f839]) ).
fof(f942,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f440,f54]) ).
fof(f943,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f440,f52]) ).
fof(f944,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f440,f50]) ).
fof(f945,plain,
! [X0] :
( ~ sQ91_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f440,f65]) ).
fof(f946,plain,
( ~ sQ95_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f940,f39]) ).
fof(f947,plain,
( ~ sQ95_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f948,plain,
( ~ sQ74_spl
| ~ sQ90_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f437,f836]) ).
fof(f949,plain,
( ~ sQ90_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f437,f70]) ).
fof(f950,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f437,f54]) ).
fof(f951,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f437,f52]) ).
fof(f952,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f437,f50]) ).
fof(f953,plain,
! [X0] :
( ~ sQ90_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f437,f65]) ).
fof(f954,plain,
( ~ sQ74_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f948,f44]) ).
fof(f955,plain,
( ~ sQ74_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f954]) ).
fof(f956,plain,
( ~ sQ89_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f434,f71]) ).
fof(f957,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f434,f54]) ).
fof(f958,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f434,f52]) ).
fof(f959,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f50]) ).
fof(f960,plain,
( ~ sQ89_spl
| product2(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f434,f66]) ).
fof(f961,plain,
! [X0] :
( ~ sQ89_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f434,f65]) ).
fof(f962,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f956,f43]) ).
fof(f963,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f962]) ).
fof(f964,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f431,f54]) ).
fof(f965,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f431,f52]) ).
fof(f966,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f431,f50]) ).
fof(f967,plain,
! [X0] :
( ~ sQ88_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f431,f65]) ).
fof(f971,plain,
( ~ sQ95_spl
| ~ sQ87_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f427,f896]) ).
fof(f972,plain,
( ~ sQ68_spl
| ~ sQ87_spl
| product2(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f427,f886]) ).
fof(f973,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f427,f54]) ).
fof(f974,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f427,f52]) ).
fof(f975,plain,
( ~ sQ87_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f427,f68]) ).
fof(f976,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f427,f50]) ).
fof(f977,plain,
! [X0] :
( ~ sQ87_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f427,f65]) ).
fof(f978,plain,
( ~ sQ95_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f971,f42]) ).
fof(f979,plain,
( ~ sQ95_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f980,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f421,f54]) ).
fof(f981,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f421,f52]) ).
fof(f982,plain,
( ~ sQ85_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f421,f68]) ).
fof(f983,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f421,f50]) ).
fof(f984,plain,
! [X0] :
( ~ sQ85_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f421,f65]) ).
fof(f985,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f982,f40]) ).
fof(f986,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f985]) ).
fof(f987,plain,
( ~ sQ88_spl
| ~ sQ84_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f418,f965]) ).
fof(f988,plain,
( ~ sQ68_spl
| ~ sQ84_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f418,f883]) ).
fof(f989,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f418,f54]) ).
fof(f990,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f418,f52]) ).
fof(f991,plain,
( ~ sQ84_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f418,f68]) ).
fof(f992,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f418,f50]) ).
fof(f993,plain,
! [X0] :
( ~ sQ84_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f418,f65]) ).
fof(f994,plain,
( ~ sQ88_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f987,f43]) ).
fof(f995,plain,
( ~ sQ88_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f996,plain,
( ~ sQ95_spl
| ~ sQ83_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f414,f896]) ).
fof(f997,plain,
( ~ sQ83_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f414,f71]) ).
fof(f998,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f414,f54]) ).
fof(f999,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f414,f52]) ).
fof(f1000,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f414,f50]) ).
fof(f1001,plain,
( ~ sQ83_spl
| product2(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f414,f66]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ83_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f414,f65]) ).
fof(f1003,plain,
( ~ sQ95_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f996,f45]) ).
fof(f1004,plain,
( ~ sQ95_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1003]) ).
fof(f1005,plain,
( ~ sQ82_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f411,f70]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f411,f54]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f411,f52]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f411,f50]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ82_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f411,f65]) ).
fof(f1010,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1005,f47]) ).
fof(f1011,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f408,f54]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f408,f52]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f408,f50]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ81_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f408,f65]) ).
fof(f1016,plain,
( ~ sQ88_spl
| ~ sQ80_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f405,f965]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f405,f54]) ).
fof(f1018,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f405,f52]) ).
fof(f1019,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f405,f50]) ).
fof(f1020,plain,
! [X0] :
( ~ sQ80_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f405,f65]) ).
fof(f1021,plain,
( ~ sQ88_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1016,f46]) ).
fof(f1022,plain,
( ~ sQ88_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1021]) ).
fof(f1023,plain,
( ~ sQ95_spl
| ~ sQ111_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f509,f895]) ).
fof(f1024,plain,
( ~ sQ77_spl
| ~ sQ111_spl
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f509,f818]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f509,f54]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f509,f52]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f509,f50]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ111_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f509,f65]) ).
fof(f1029,plain,
( ~ sQ95_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1023,f40]) ).
fof(f1030,plain,
( ~ sQ95_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f1029]) ).
fof(f1031,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f506,f898]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f506,f54]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f506,f52]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f506,f50]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ110_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f506,f65]) ).
fof(f1036,plain,
( ~ sQ77_spl
| ~ sQ109_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f503,f815]) ).
fof(f1037,plain,
( ~ sQ109_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f503,f70]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f503,f54]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f503,f52]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f503,f50]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ109_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f503,f65]) ).
fof(f1042,plain,
( ~ sQ77_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f41]) ).
fof(f1043,plain,
( ~ sQ77_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f1042]) ).
fof(f1044,plain,
( ~ sQ108_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f500,f71]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f500,f54]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f500,f52]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f50]) ).
fof(f1048,plain,
( ~ sQ108_spl
| product2(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f500,f66]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ108_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f500,f65]) ).
fof(f1050,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1044,f39]) ).
fof(f1051,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f1050]) ).
fof(f1052,plain,
( ~ sQ74_spl
| ~ sQ107_spl
| product2(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f496,f839]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f496,f54]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f496,f52]) ).
fof(f1055,plain,
( ~ sQ107_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f496,f68]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f496,f50]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ107_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f496,f65]) ).
fof(f1058,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1055,f46]) ).
fof(f1059,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f1058]) ).
fof(f1060,plain,
( ~ sQ88_spl
| ~ sQ106_spl
| product2(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f493,f967]) ).
fof(f1061,plain,
( ~ sQ74_spl
| ~ sQ106_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f493,f836]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f493,f54]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f493,f52]) ).
fof(f1064,plain,
( ~ sQ106_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f493,f68]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f493,f50]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ106_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f493,f65]) ).
fof(f1067,plain,
( ~ sQ74_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1061,f41]) ).
fof(f1068,plain,
( ~ sQ74_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ110_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1031,f62]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ110_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1031,f60]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ110_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1031,f58]) ).
fof(f1081,plain,
( ~ sQ88_spl
| ~ sQ104_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f487,f964]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f487,f54]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f487,f52]) ).
fof(f1084,plain,
( ~ sQ104_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f487,f68]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f487,f50]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ104_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f487,f65]) ).
fof(f1087,plain,
( ~ sQ88_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1081,f40]) ).
fof(f1088,plain,
( ~ sQ88_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f1087]) ).
fof(f1089,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| product2(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f483,f886]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f483,f54]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f483,f52]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f483,f50]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ103_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f483,f65]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ103_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1089,f62]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ103_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1089,f60]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ103_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1089,f58]) ).
fof(f1103,plain,
( ~ sQ103_spl
| ~ sQ102_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f480,f1092]) ).
fof(f1104,plain,
( ~ sQ110_spl
| ~ sQ102_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f480,f1033]) ).
fof(f1105,plain,
( ~ sQ102_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f480,f71]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f480,f54]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f480,f52]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f480,f50]) ).
fof(f1109,plain,
( ~ sQ102_spl
| product2(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f480,f66]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ102_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f480,f65]) ).
fof(f1111,plain,
( ~ sQ103_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f44]) ).
fof(f1112,plain,
( ~ sQ103_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f1111]) ).
fof(f1113,plain,
( ~ sQ101_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f477,f70]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f477,f54]) ).
fof(f1115,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f477,f52]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f477,f50]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ101_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f477,f65]) ).
fof(f1118,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1113,f43]) ).
fof(f1119,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f1118]) ).
fof(f1120,plain,
( ~ sQ68_spl
| ~ sQ100_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f474,f883]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f474,f54]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f474,f52]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f474,f50]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ100_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f474,f65]) ).
fof(f1125,plain,
( ~ sQ68_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1120,f41]) ).
fof(f1126,plain,
( ~ sQ68_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f1125]) ).
fof(f1127,plain,
( ~ sQ110_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1104,f42]) ).
fof(f1128,plain,
( ~ sQ110_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f1127]) ).
fof(f1135,plain,
( ~ sQ103_spl
| ~ sQ99_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f470,f1091]) ).
fof(f1136,plain,
( ~ sQ99_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f470,f71]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f470,f54]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f470,f52]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f470,f50]) ).
fof(f1140,plain,
( ~ sQ99_spl
| product2(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f470,f66]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ99_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f470,f65]) ).
fof(f1142,plain,
( ~ sQ103_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1135,f47]) ).
fof(f1143,plain,
( ~ sQ103_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1142]) ).
fof(f1144,plain,
( ~ sQ110_spl
| ~ sQ98_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f467,f1033]) ).
fof(f1145,plain,
( ~ sQ81_spl
| ~ sQ98_spl
| product2(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f467,f1015]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f467,f54]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f467,f52]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f467,f50]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ98_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f467,f65]) ).
fof(f1150,plain,
( ~ sQ110_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f45]) ).
fof(f1151,plain,
( ~ sQ110_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1150]) ).
fof(f1152,plain,
( ~ sQ81_spl
| ~ sQ97_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f464,f1012]) ).
fof(f1153,plain,
( ~ sQ97_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f464,f70]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f464,f54]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f464,f52]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f464,f50]) ).
fof(f1157,plain,
! [X0] :
( ~ sQ97_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f464,f65]) ).
fof(f1158,plain,
( ~ sQ81_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1152,f40]) ).
fof(f1159,plain,
( ~ sQ81_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f1158]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f461,f54]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f461,f52]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f461,f50]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ96_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f461,f65]) ).
fof(f1164,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1163,f408]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ96_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1164,f62]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ96_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1164,f60]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ96_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1164,f58]) ).
fof(f1174,plain,
( ~ sQ95_spl
| ~ sQ127_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f565,f895]) ).
fof(f1175,plain,
( ~ sQ77_spl
| ~ sQ127_spl
| product2(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f565,f818]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f565,f54]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f565,f52]) ).
fof(f1178,plain,
( ~ sQ127_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f565,f68]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f565,f50]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ127_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f565,f65]) ).
fof(f1181,plain,
( ~ sQ95_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1174,f37]) ).
fof(f1182,plain,
( ~ sQ95_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f1181]) ).
fof(f1183,plain,
( ~ sQ110_spl
| ~ sQ126_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f562,f1032]) ).
fof(f1184,plain,
( ~ sQ95_spl
| ~ sQ126_spl
| product2(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f562,f898]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f562,f54]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f562,f52]) ).
fof(f1187,plain,
( ~ sQ126_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f562,f68]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f562,f50]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ126_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f562,f65]) ).
fof(f1190,plain,
( ~ sQ110_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1183,f36]) ).
fof(f1191,plain,
( ~ sQ110_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f1190]) ).
fof(f1192,plain,
( ~ sQ110_spl
| ~ sQ125_spl
| product2(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f559,f1035]) ).
fof(f1193,plain,
( ~ sQ77_spl
| ~ sQ125_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f559,f815]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f559,f54]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f559,f52]) ).
fof(f1196,plain,
( ~ sQ125_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f559,f68]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f559,f50]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ125_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f559,f65]) ).
fof(f1199,plain,
( ~ sQ77_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1193,f38]) ).
fof(f1200,plain,
( ~ sQ77_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f1199]) ).
fof(f1201,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f552,f839]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f552,f54]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f552,f52]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f552,f50]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ123_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f552,f65]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ123_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1201,f62]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ123_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1201,f60]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ123_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1201,f58]) ).
fof(f1212,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| product2(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1205,f431]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1212,f62]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ123_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1212,f60]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ123_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1212,f58]) ).
fof(f1222,plain,
( ~ sQ123_spl
| ~ sQ122_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f549,f1204]) ).
fof(f1223,plain,
( ~ sQ88_spl
| ~ sQ122_spl
| product2(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f549,f967]) ).
fof(f1224,plain,
( ~ sQ74_spl
| ~ sQ122_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f549,f836]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f549,f54]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f549,f52]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f549,f50]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ122_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f549,f65]) ).
fof(f1229,plain,
( ~ sQ123_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1222,f44]) ).
fof(f1230,plain,
( ~ sQ123_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f1229]) ).
fof(f1231,plain,
( ~ sQ121_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f546,f71]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f546,f54]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f546,f52]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f546,f50]) ).
fof(f1235,plain,
( ~ sQ121_spl
| product2(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f546,f66]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ121_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f546,f65]) ).
fof(f1237,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1231,f36]) ).
fof(f1238,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1237]) ).
fof(f1239,plain,
( ~ sQ88_spl
| ~ sQ120_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f543,f964]) ).
fof(f1240,plain,
( ~ sQ120_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f543,f70]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f543,f54]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f543,f52]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f543,f50]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ120_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f543,f65]) ).
fof(f1245,plain,
( ~ sQ88_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f37]) ).
fof(f1246,plain,
( ~ sQ88_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f1245]) ).
fof(f1247,plain,
( ~ sQ74_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1224,f38]) ).
fof(f1248,plain,
( ~ sQ74_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f1247]) ).
fof(f1262,plain,
( ~ sQ123_spl
| ~ sQ119_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f539,f1203]) ).
fof(f1263,plain,
( ~ sQ103_spl
| ~ sQ119_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f539,f1090]) ).
fof(f1264,plain,
( ~ sQ68_spl
| ~ sQ119_spl
| product2(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f539,f886]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f539,f54]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f539,f52]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f539,f50]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ119_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f539,f65]) ).
fof(f1269,plain,
( ~ sQ123_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1262,f43]) ).
fof(f1270,plain,
( ~ sQ123_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1269]) ).
fof(f1271,plain,
( ~ sQ118_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f536,f71]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f536,f54]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f536,f52]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f536,f50]) ).
fof(f1275,plain,
( ~ sQ118_spl
| product2(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f536,f66]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ118_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f536,f65]) ).
fof(f1277,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1271,f37]) ).
fof(f1278,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1279,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f533,f1093]) ).
fof(f1280,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f533,f54]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f533,f52]) ).
fof(f1282,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f533,f50]) ).
fof(f1283,plain,
! [X0] :
( ~ sQ117_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f533,f65]) ).
fof(f1284,plain,
( ~ sQ68_spl
| ~ sQ116_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f530,f883]) ).
fof(f1285,plain,
( ~ sQ116_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f530,f70]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f530,f54]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f530,f52]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f530,f50]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ116_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f530,f65]) ).
fof(f1290,plain,
( ~ sQ68_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1284,f38]) ).
fof(f1291,plain,
( ~ sQ68_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f1290]) ).
fof(f1292,plain,
( ~ sQ123_spl
| ~ sQ115_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f526,f1203]) ).
fof(f1293,plain,
( ~ sQ115_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f526,f71]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f526,f54]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f526,f52]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f526,f50]) ).
fof(f1297,plain,
( ~ sQ115_spl
| product2(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f526,f66]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ115_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f526,f65]) ).
fof(f1299,plain,
( ~ sQ123_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1292,f46]) ).
fof(f1300,plain,
( ~ sQ123_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f1299]) ).
fof(f1301,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| product2(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f523,f1015]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f523,f54]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f523,f52]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f523,f50]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ114_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f523,f65]) ).
fof(f1306,plain,
( ~ sQ96_spl
| ~ sQ113_spl
| product2(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f520,f1163]) ).
fof(f1307,plain,
( ~ sQ81_spl
| ~ sQ113_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f520,f1012]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f520,f54]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f520,f52]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f520,f50]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ113_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f520,f65]) ).
fof(f1312,plain,
( ~ sQ81_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1307,f37]) ).
fof(f1313,plain,
( ~ sQ81_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1314,plain,
( ~ sQ96_spl
| ~ sQ112_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f517,f1160]) ).
fof(f1315,plain,
( ~ sQ112_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f517,f70]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f517,f54]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f517,f52]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f517,f50]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ112_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f517,f65]) ).
fof(f1320,plain,
( ~ sQ96_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1314,f36]) ).
fof(f1321,plain,
( ~ sQ96_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1320]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f621,f62]) ).
fof(f1323,plain,
( ~ sQ143_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f621,f796]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f621,f60]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f621,f58]) ).
fof(f1326,plain,
( ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1323,f38]) ).
fof(f1327,plain,
~ sQ143_spl,
inference(contradiction_clause,[status(thm)],[f1326]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ117_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1279,f62]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ117_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1279,f60]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ117_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1279,f58]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ114_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1301,f62]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ114_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1301,f60]) ).
fof(f1333,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ114_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1301,f58]) ).
fof(f1335,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| product2(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1283,f362]) ).
fof(f1336,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| product2(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1305,f461]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ117_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1335,f62]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ117_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1335,f60]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ117_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1335,f58]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ114_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1336,f62]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ114_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1336,f60]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ114_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1336,f58]) ).
fof(f1360,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ141_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f615,f1330]) ).
fof(f1361,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ141_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f615,f1214]) ).
fof(f1362,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ141_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f615,f1206]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f615,f62]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f615,f60]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f615,f58]) ).
fof(f1366,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1360,f40]) ).
fof(f1367,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f1366]) ).
fof(f1368,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ140_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f612,f1330]) ).
fof(f1369,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ140_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f612,f1070]) ).
fof(f1370,plain,
( ~ sQ140_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f612,f798]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f612,f62]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f612,f60]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f612,f58]) ).
fof(f1374,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1368,f37]) ).
fof(f1375,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f1374]) ).
fof(f1376,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ139_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f608,f1071]) ).
fof(f1377,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ139_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f608,f1340]) ).
fof(f1378,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f608,f62]) ).
fof(f1379,plain,
( ~ sQ139_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f608,f796]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f608,f60]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f608,f58]) ).
fof(f1382,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f45]) ).
fof(f1383,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ139_spl ),
inference(contradiction_clause,[status(thm)],[f1382]) ).
fof(f1384,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ138_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f605,f1071]) ).
fof(f1385,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ138_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f605,f1329]) ).
fof(f1386,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ138_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f605,f1094]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f605,f62]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f605,f60]) ).
fof(f1389,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f605,f58]) ).
fof(f1390,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1384,f42]) ).
fof(f1391,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ138_spl ),
inference(contradiction_clause,[status(thm)],[f1390]) ).
fof(f1392,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ137_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f602,f1071]) ).
fof(f1393,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ137_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f602,f1214]) ).
fof(f1394,plain,
( ~ sQ137_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f602,f798]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f602,f62]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f602,f60]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f602,f58]) ).
fof(f1398,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1392,f39]) ).
fof(f1399,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f1398]) ).
fof(f1400,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ135_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f595,f1215]) ).
fof(f1401,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ135_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f595,f1165]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f595,f62]) ).
fof(f1403,plain,
( ~ sQ135_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f595,f796]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f595,f60]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f595,f58]) ).
fof(f1406,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1400,f46]) ).
fof(f1407,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f1406]) ).
fof(f1408,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ134_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f592,f1215]) ).
fof(f1409,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ134_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f592,f1329]) ).
fof(f1410,plain,
( ~ sQ134_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f592,f798]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f592,f62]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f592,f60]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f592,f58]) ).
fof(f1414,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1408,f43]) ).
fof(f1415,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ134_spl ),
inference(contradiction_clause,[status(thm)],[f1414]) ).
fof(f1416,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ132_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f586,f1215]) ).
fof(f1417,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ132_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f586,f1070]) ).
fof(f1418,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ132_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f586,f899]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f586,f62]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f586,f60]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f586,f58]) ).
fof(f1422,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1416,f36]) ).
fof(f1423,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f1422]) ).
fof(f1424,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ130_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f579,f1329]) ).
fof(f1425,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ130_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f579,f1337]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f579,f62]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f579,f60]) ).
fof(f1428,plain,
( ~ sQ130_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f579,f794]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f579,f58]) ).
fof(f1430,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1424,f45]) ).
fof(f1431,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ130_spl ),
inference(contradiction_clause,[status(thm)],[f1430]) ).
fof(f1432,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ129_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f576,f1214]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f576,f62]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f576,f60]) ).
fof(f1435,plain,
( ~ sQ129_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f576,f794]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f576,f58]) ).
fof(f1437,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1432,f47]) ).
fof(f1438,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f1437]) ).
fof(f1439,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ128_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f573,f1070]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f573,f62]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f573,f60]) ).
fof(f1442,plain,
( ~ sQ128_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f573,f794]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f573,f58]) ).
fof(f1444,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1439,f46]) ).
fof(f1445,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f1444]) ).
fof(f1446,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ159_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f677,f1208]) ).
fof(f1447,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ159_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f677,f1341]) ).
fof(f1448,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ159_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f677,f1331]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f677,f62]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f677,f60]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f677,f58]) ).
fof(f1452,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1446,f46]) ).
fof(f1453,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ159_spl ),
inference(contradiction_clause,[status(thm)],[f1452]) ).
fof(f1454,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ158_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f674,f1208]) ).
fof(f1455,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ158_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f674,f1328]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ158_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f674,f62]) ).
fof(f1457,plain,
( ~ sQ158_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f674,f796]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ158_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f674,f60]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ158_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f674,f58]) ).
fof(f1460,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1454,f43]) ).
fof(f1461,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ158_spl ),
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1462,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ156_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f668,f1208]) ).
fof(f1463,plain,
( ~ sQ156_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f668,f798]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f668,f62]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f668,f60]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f668,f58]) ).
fof(f1467,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f36]) ).
fof(f1468,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f1467]) ).
fof(f1469,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ154_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f661,f1342]) ).
fof(f1470,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ154_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f661,f1094]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ154_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f661,f62]) ).
fof(f1472,plain,
( ~ sQ154_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f661,f796]) ).
fof(f1473,plain,
! [X0] :
( ~ sQ154_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f661,f60]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ154_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f661,f58]) ).
fof(f1475,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1469,f44]) ).
fof(f1476,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ154_spl ),
inference(contradiction_clause,[status(thm)],[f1475]) ).
fof(f1477,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ153_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f658,f1342]) ).
fof(f1478,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ153_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f658,f1207]) ).
fof(f1479,plain,
( ~ sQ153_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f658,f798]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f658,f62]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f658,f60]) ).
fof(f1482,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f658,f58]) ).
fof(f1483,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1477,f41]) ).
fof(f1484,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f1483]) ).
fof(f1485,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ152_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f655,f1342]) ).
fof(f1486,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ152_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f655,f1069]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f655,f62]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f655,f60]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f655,f58]) ).
fof(f1490,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1485,f38]) ).
fof(f1491,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f1490]) ).
fof(f1492,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ151_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f651,f1341]) ).
fof(f1493,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ151_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f651,f1165]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f651,f62]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f651,f60]) ).
fof(f1496,plain,
( ~ sQ151_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f651,f794]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f651,f58]) ).
fof(f1498,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1492,f43]) ).
fof(f1499,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1500,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ149_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f645,f1207]) ).
fof(f1501,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ149_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f645,f1213]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f645,f62]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f645,f60]) ).
fof(f1504,plain,
( ~ sQ149_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f645,f794]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f645,f58]) ).
fof(f1506,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1500,f42]) ).
fof(f1507,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f1506]) ).
fof(f1508,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ148_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f642,f899]) ).
fof(f1509,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f642,f62]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f642,f60]) ).
fof(f1511,plain,
( ~ sQ148_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f642,f794]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f642,f58]) ).
fof(f1513,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1508,f43]) ).
fof(f1514,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f1513]) ).
fof(f1515,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ147_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f638,f1341]) ).
fof(f1516,plain,
( ~ sQ147_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f638,f798]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f638,f62]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f638,f60]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f638,f58]) ).
fof(f1520,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1515,f46]) ).
fof(f1521,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f1520]) ).
fof(f1522,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ146_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f635,f1337]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f635,f62]) ).
fof(f1524,plain,
( ~ sQ146_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f635,f796]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f635,f60]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f635,f58]) ).
fof(f1527,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1522,f43]) ).
fof(f1528,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f1527]) ).
fof(f1529,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ145_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f632,f1207]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f632,f62]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f632,f60]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f632,f58]) ).
fof(f1533,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1529,f45]) ).
fof(f1534,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ145_spl ),
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f629,f62]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f629,f60]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f629,f58]) ).
fof(f1541,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ174_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f730,f1333]) ).
fof(f1542,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ174_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f730,f1338]) ).
fof(f1543,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ174_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f730,f1328]) ).
fof(f1544,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f730,f62]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f730,f60]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f730,f58]) ).
fof(f1547,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1541,f44]) ).
fof(f1548,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ174_spl ),
inference(contradiction_clause,[status(thm)],[f1547]) ).
fof(f1549,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ173_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f727,f1333]) ).
fof(f1550,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ173_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f727,f1206]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f727,f62]) ).
fof(f1552,plain,
( ~ sQ173_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f727,f796]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f727,f60]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f727,f58]) ).
fof(f1555,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1549,f41]) ).
fof(f1556,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1555]) ).
fof(f1557,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ172_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f724,f1333]) ).
fof(f1558,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ172_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f724,f900]) ).
fof(f1559,plain,
( ~ sQ172_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f724,f798]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f724,f62]) ).
fof(f1561,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f724,f60]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f724,f58]) ).
fof(f1563,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1557,f38]) ).
fof(f1564,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f1563]) ).
fof(f1565,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ171_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f720,f1332]) ).
fof(f1566,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ171_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f720,f1340]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f720,f62]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f720,f60]) ).
fof(f1569,plain,
( ~ sQ171_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f720,f794]) ).
fof(f1570,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f720,f58]) ).
fof(f1571,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1565,f39]) ).
fof(f1572,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f1571]) ).
fof(f1573,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ170_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f717,f1338]) ).
fof(f1574,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ170_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f717,f1094]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f717,f62]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f717,f60]) ).
fof(f1577,plain,
( ~ sQ170_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f717,f794]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f717,f58]) ).
fof(f1579,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ170_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1573,f41]) ).
fof(f1580,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ170_spl ),
inference(contradiction_clause,[status(thm)],[f1579]) ).
fof(f1581,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ168_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f711,f900]) ).
fof(f1582,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ168_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f711,f1069]) ).
fof(f1583,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f711,f62]) ).
fof(f1584,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f711,f60]) ).
fof(f1585,plain,
( ~ sQ168_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f711,f794]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f711,f58]) ).
fof(f1587,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f40]) ).
fof(f1588,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f1587]) ).
fof(f1589,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ167_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f707,f901]) ).
fof(f1590,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ167_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f707,f1332]) ).
fof(f1591,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ167_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f707,f1165]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f707,f62]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f707,f60]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f707,f58]) ).
fof(f1595,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1589,f45]) ).
fof(f1596,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ167_spl ),
inference(contradiction_clause,[status(thm)],[f1595]) ).
fof(f1597,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ166_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f704,f901]) ).
fof(f1598,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ166_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f704,f1338]) ).
fof(f1599,plain,
( ~ sQ166_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f704,f798]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f704,f62]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f704,f60]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f704,f58]) ).
fof(f1603,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1597,f42]) ).
fof(f1604,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ166_spl ),
inference(contradiction_clause,[status(thm)],[f1603]) ).
fof(f1605,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ165_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f701,f901]) ).
fof(f1606,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ165_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f701,f1213]) ).
fof(f1607,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f701,f62]) ).
fof(f1608,plain,
( ~ sQ165_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f701,f796]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f701,f60]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f701,f58]) ).
fof(f1611,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1605,f39]) ).
fof(f1612,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f1611]) ).
fof(f1613,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ163_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f694,f1339]) ).
fof(f1614,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ163_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f694,f1332]) ).
fof(f1615,plain,
( ~ sQ163_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f694,f798]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f694,f62]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f694,f60]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f694,f58]) ).
fof(f1619,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1613,f47]) ).
fof(f1620,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ163_spl ),
inference(contradiction_clause,[status(thm)],[f1619]) ).
fof(f1621,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ161_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f688,f1339]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f688,f62]) ).
fof(f1623,plain,
( ~ sQ161_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f688,f796]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f688,f60]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f688,f58]) ).
fof(f1626,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1621,f40]) ).
fof(f1627,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f1626]) ).
fof(f1628,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ160_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f685,f1339]) ).
fof(f1629,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ160_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f685,f900]) ).
fof(f1630,plain,
( ~ sQ144_spl
| ~ sQ160_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f685,f1535]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f685,f62]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f685,f60]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f685,f58]) ).
fof(f1634,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1628,f37]) ).
fof(f1635,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f1634]) ).
fof(f1636,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ191_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f789,f1166]) ).
fof(f1637,plain,
( ~ sQ81_spl
| ~ sQ114_spl
| ~ sQ191_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f789,f1331]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f789,f62]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f789,f60]) ).
fof(f1640,plain,
( ~ sQ191_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f789,f794]) ).
fof(f1641,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f789,f58]) ).
fof(f1642,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1636,f37]) ).
fof(f1643,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ191_spl ),
inference(contradiction_clause,[status(thm)],[f1642]) ).
fof(f1644,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ190_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f786,f1095]) ).
fof(f1645,plain,
( ~ sQ103_spl
| ~ sQ117_spl
| ~ sQ190_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f786,f1328]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f786,f62]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f786,f60]) ).
fof(f1648,plain,
( ~ sQ190_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f786,f794]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f786,f58]) ).
fof(f1650,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1644,f36]) ).
fof(f1651,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f1650]) ).
fof(f1652,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ189_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f783,f1206]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f783,f62]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f783,f60]) ).
fof(f1655,plain,
( ~ sQ189_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f783,f794]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f783,f58]) ).
fof(f1657,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1652,f37]) ).
fof(f1658,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| ~ sQ189_spl ),
inference(contradiction_clause,[status(thm)],[f1657]) ).
fof(f1659,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ187_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f776,f1096]) ).
fof(f1660,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ187_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f776,f1166]) ).
fof(f1661,plain,
( ~ sQ96_spl
| ~ sQ114_spl
| ~ sQ187_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f776,f1340]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ187_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f776,f62]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ187_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f776,f60]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ187_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f776,f58]) ).
fof(f1665,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1659,f47]) ).
fof(f1666,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ187_spl ),
inference(contradiction_clause,[status(thm)],[f1665]) ).
fof(f1667,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ185_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f770,f1096]) ).
fof(f1668,plain,
( ~ sQ185_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f770,f798]) ).
fof(f1669,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f770,f62]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f770,f60]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f770,f58]) ).
fof(f1672,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1667,f40]) ).
fof(f1673,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f1672]) ).
fof(f1674,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ184_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f767,f1096]) ).
fof(f1675,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| ~ sQ184_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f767,f1069]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f767,f62]) ).
fof(f1677,plain,
( ~ sQ184_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f767,f796]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f767,f60]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f767,f58]) ).
fof(f1680,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ184_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1674,f37]) ).
fof(f1681,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ184_spl ),
inference(contradiction_clause,[status(thm)],[f1680]) ).
fof(f1682,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ182_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f760,f1167]) ).
fof(f1683,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ182_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f760,f1095]) ).
fof(f1684,plain,
( ~ sQ182_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f760,f798]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f760,f62]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f760,f60]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f760,f58]) ).
fof(f1688,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1682,f44]) ).
fof(f1689,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ182_spl ),
inference(contradiction_clause,[status(thm)],[f1688]) ).
fof(f1690,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ181_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f757,f1167]) ).
fof(f1691,plain,
( ~ sQ88_spl
| ~ sQ123_spl
| ~ sQ181_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f757,f1213]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f757,f62]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f757,f60]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f757,f58]) ).
fof(f1695,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1690,f41]) ).
fof(f1696,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f1695]) ).
fof(f1697,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ180_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f754,f1167]) ).
fof(f1698,plain,
( ~ sQ77_spl
| ~ sQ95_spl
| ~ sQ180_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f754,f899]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f754,f62]) ).
fof(f1700,plain,
( ~ sQ180_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f754,f796]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f754,f60]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f754,f58]) ).
fof(f1703,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f38]) ).
fof(f1704,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1705,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ179_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f750,f1166]) ).
fof(f1706,plain,
( ~ sQ179_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f750,f798]) ).
fof(f1707,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f750,f62]) ).
fof(f1708,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f750,f60]) ).
fof(f1709,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f750,f58]) ).
fof(f1710,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1705,f47]) ).
fof(f1711,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| ~ sQ179_spl ),
inference(contradiction_clause,[status(thm)],[f1710]) ).
fof(f1712,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ178_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f747,f1095]) ).
fof(f1713,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| ~ sQ178_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f747,f1337]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f747,f62]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f747,f60]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f747,f58]) ).
fof(f1717,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1712,f46]) ).
fof(f1718,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| ~ sQ178_spl ),
inference(contradiction_clause,[status(thm)],[f1717]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f744,f62]) ).
fof(f1720,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f744,f60]) ).
fof(f1721,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f744,f58]) ).
fof(f1725,plain,
( ~ sQ177_spl
| ~ sQ176_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f741,f1721]) ).
fof(f1726,plain,
( ~ sQ144_spl
| ~ sQ176_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f741,f1535]) ).
fof(f1727,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f741,f62]) ).
fof(f1728,plain,
( ~ sQ176_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f741,f796]) ).
fof(f1729,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f741,f60]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f741,f58]) ).
fof(f1731,plain,
( ~ sQ177_spl
| ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1725,f36]) ).
fof(f1732,plain,
( ~ sQ177_spl
| ~ sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f1731]) ).
fof(f1733,plain,
( ~ sQ144_spl
| ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1726,f37]) ).
fof(f1734,plain,
( ~ sQ144_spl
| ~ sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f1733]) ).
fof(f1737,plain,
( ~ sQ110_spl
| ~ sQ77_spl
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f391,f1035]) ).
fof(f1745,plain,
( ~ sQ88_spl
| ~ sQ74_spl
| product2(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f381,f967]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1745,f62]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1745,f60]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ74_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1745,f58]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ3_spl
| sQ4_spl
| sQ5_spl
| sQ6_spl
| sQ7_spl
| sQ8_spl
| sQ9_spl
| sQ10_spl
| sQ11_spl
| sQ12_spl
| sQ13_spl
| sQ14_spl
| sQ15_spl
| sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ19_spl
| sQ20_spl
| sQ21_spl
| sQ22_spl
| sQ23_spl
| sQ24_spl
| sQ25_spl
| sQ26_spl
| sQ27_spl
| sQ28_spl
| sQ29_spl
| sQ30_spl
| sQ31_spl
| sQ32_spl
| sQ33_spl
| 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
| sQ67_spl
| sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ80_spl
| sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| sQ86_spl
| ~ sQ87_spl
| sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| ~ sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| sQ95_spl
| sQ96_spl
| ~ sQ97_spl
| ~ sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| ~ sQ102_spl
| sQ103_spl
| ~ sQ104_spl
| sQ105_spl
| ~ sQ106_spl
| ~ sQ107_spl
| ~ sQ108_spl
| ~ sQ109_spl
| sQ110_spl
| ~ sQ111_spl
| ~ sQ112_spl
| ~ sQ113_spl
| sQ114_spl
| ~ sQ115_spl
| ~ sQ116_spl
| sQ117_spl
| ~ sQ118_spl
| ~ sQ119_spl
| ~ sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| sQ123_spl
| sQ124_spl
| ~ sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| ~ sQ128_spl
| ~ sQ129_spl
| ~ sQ130_spl
| sQ131_spl
| ~ sQ132_spl
| sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| sQ136_spl
| ~ sQ137_spl
| ~ sQ138_spl
| ~ sQ139_spl
| ~ sQ140_spl
| ~ sQ141_spl
| sQ142_spl
| ~ sQ143_spl
| sQ144_spl
| ~ sQ145_spl
| ~ sQ146_spl
| ~ sQ147_spl
| ~ sQ148_spl
| ~ sQ149_spl
| sQ150_spl
| ~ sQ151_spl
| ~ sQ152_spl
| ~ sQ153_spl
| ~ sQ154_spl
| sQ155_spl
| ~ sQ156_spl
| sQ157_spl
| ~ sQ158_spl
| ~ sQ159_spl
| ~ sQ160_spl
| ~ sQ161_spl
| sQ162_spl
| ~ sQ163_spl
| sQ164_spl
| ~ sQ165_spl
| ~ sQ166_spl
| ~ sQ167_spl
| ~ sQ168_spl
| sQ169_spl
| ~ sQ170_spl
| ~ sQ171_spl
| ~ sQ172_spl
| ~ sQ173_spl
| ~ sQ174_spl
| sQ175_spl
| ~ sQ176_spl
| sQ177_spl
| ~ sQ178_spl
| ~ sQ179_spl
| ~ sQ180_spl
| ~ sQ181_spl
| ~ sQ182_spl
| sQ183_spl
| ~ sQ184_spl
| ~ sQ185_spl
| sQ186_spl
| ~ sQ187_spl
| sQ188_spl
| ~ sQ189_spl
| ~ sQ190_spl
| ~ sQ191_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP123-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.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 19:58:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.42 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.15/0.42 % SZS output start Saturation for theBenchmark
% See solution above
% 0.15/0.47 % Elapsed time: 0.086462 seconds
% 0.15/0.47 % CPU time: 0.283997 seconds
% 0.15/0.47 % Total memory used: 20.241 MB
% 0.15/0.47 % Net memory used: 19.983 MB
%------------------------------------------------------------------------------