%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP129-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:35:57 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP129-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 20:00:36 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Drodi V4.1.1
% 0.08/0.41 % Refutation found
% 0.08/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.41 fof(f1,axiom,(
% 0.08/0.41 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(e_1,X,Y)| product(e_2,X,Y)| product(e_3,X,Y)| product(e_4,X,Y) ) ))),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f2,axiom,(
% 0.08/0.41 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,e_1,Y)| product(X,e_2,Y)| product(X,e_3,Y)| product(X,e_4,Y) ) ))),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f3,negated_conjecture,(
% 0.08/0.41 (![Y,X,Z1,Z2]: (( product(Y,X,Z1)| ~ product(Z1,Y,Z2)| ~ product(X,Z1,Z2) ) ))),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f4,negated_conjecture,(
% 0.08/0.41 (![X,Z1,Z2,Y]: (( product(X,Z1,Z2)| ~ product(Z1,Y,Z2)| ~ product(Y,X,Z1) ) ))),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f5,axiom,(
% 0.08/0.41 group_element(e_1) ),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f6,axiom,(
% 0.08/0.41 group_element(e_2) ),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f7,axiom,(
% 0.08/0.41 group_element(e_3) ),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f8,axiom,(
% 0.08/0.41 group_element(e_4) ),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f9,axiom,(
% 0.08/0.41 ~ equalish(e_1,e_2) ),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f10,axiom,(
% 0.08/0.41 ~ equalish(e_1,e_3) ),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f11,axiom,(
% 0.08/0.41 ~ equalish(e_1,e_4) ),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f13,axiom,(
% 0.08/0.41 ~ equalish(e_2,e_3) ),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f14,axiom,(
% 0.08/0.41 ~ equalish(e_2,e_4) ),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f17,axiom,(
% 0.08/0.41 ~ equalish(e_3,e_4) ),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f21,axiom,(
% 0.08/0.41 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3)| product(X,Y,e_4) ) ))),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f22,axiom,(
% 0.08/0.41 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f23,axiom,(
% 0.08/0.41 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f24,axiom,(
% 0.08/0.41 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.08/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f26,plain,(
% 0.08/0.41 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(e_1,X0,X1)|product(e_2,X0,X1)|product(e_3,X0,X1)|product(e_4,X0,X1))),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.41 fof(f27,plain,(
% 0.08/0.41 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,e_1,X1)|product(X0,e_2,X1)|product(X0,e_3,X1)|product(X0,e_4,X1))),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.41 fof(f28,plain,(
% 0.08/0.41 ![X,Z1,Z2]: ((![Y]: (product(Y,X,Z1)|~product(Z1,Y,Z2)))|~product(X,Z1,Z2))),
% 0.08/0.41 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.41 fof(f29,plain,(
% 0.08/0.41 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X2,X0,X3)|~product(X1,X2,X3))),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.08/0.41 fof(f30,plain,(
% 0.08/0.41 ![X,Z1,Y]: ((![Z2]: (product(X,Z1,Z2)|~product(Z1,Y,Z2)))|~product(Y,X,Z1))),
% 0.08/0.41 inference(miniscoping,[status(thm)],[f4])).
% 0.08/0.41 fof(f31,plain,(
% 0.08/0.41 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X1,X3,X2)|~product(X3,X0,X1))),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.08/0.41 fof(f32,plain,(
% 0.08/0.41 group_element(e_1)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.41 fof(f33,plain,(
% 0.08/0.41 group_element(e_2)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.41 fof(f34,plain,(
% 0.08/0.41 group_element(e_3)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.41 fof(f35,plain,(
% 0.08/0.41 group_element(e_4)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.41 fof(f36,plain,(
% 0.08/0.41 ~equalish(e_1,e_2)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.41 fof(f37,plain,(
% 0.08/0.41 ~equalish(e_1,e_3)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.41 fof(f38,plain,(
% 0.08/0.41 ~equalish(e_1,e_4)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.41 fof(f40,plain,(
% 0.08/0.41 ~equalish(e_2,e_3)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.41 fof(f41,plain,(
% 0.08/0.41 ~equalish(e_2,e_4)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/0.41 fof(f44,plain,(
% 0.08/0.41 ~equalish(e_3,e_4)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.41 fof(f48,plain,(
% 0.08/0.41 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3)|product(X0,X1,e_4))),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.41 fof(f49,plain,(
% 0.08/0.41 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.08/0.41 inference(miniscoping,[status(thm)],[f22])).
% 0.08/0.41 fof(f50,plain,(
% 0.08/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f49])).
% 0.08/0.41 fof(f51,plain,(
% 0.08/0.41 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.08/0.41 inference(miniscoping,[status(thm)],[f23])).
% 0.08/0.41 fof(f52,plain,(
% 0.08/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.41 fof(f53,plain,(
% 0.08/0.41 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.08/0.41 inference(miniscoping,[status(thm)],[f24])).
% 0.08/0.41 fof(f54,plain,(
% 0.08/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f53])).
% 0.08/0.41 fof(f57,plain,(
% 0.08/0.41 ![X0,X1]: (product(X0,X0,X0)|~product(X0,X0,X1))),
% 0.08/0.41 inference(factoring,[status(thm)],[f29])).
% 0.08/0.41 fof(f58,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(X0,e_1,e_1)|product(X0,e_2,e_1)|product(X0,e_3,e_1)|product(X0,e_4,e_1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f32,f27])).
% 0.08/0.41 fof(f59,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_2,X0,e_1)|product(e_3,X0,e_1)|product(e_4,X0,e_1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f32,f26])).
% 0.08/0.41 fof(f60,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(X0,e_1,e_2)|product(X0,e_2,e_2)|product(X0,e_3,e_2)|product(X0,e_4,e_2))),
% 0.08/0.41 inference(resolution,[status(thm)],[f33,f27])).
% 0.08/0.41 fof(f61,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(e_1,X0,e_2)|product(e_2,X0,e_2)|product(e_3,X0,e_2)|product(e_4,X0,e_2))),
% 0.08/0.41 inference(resolution,[status(thm)],[f33,f26])).
% 0.08/0.41 fof(f62,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(X0,e_1,e_3)|product(X0,e_2,e_3)|product(X0,e_3,e_3)|product(X0,e_4,e_3))),
% 0.08/0.41 inference(resolution,[status(thm)],[f34,f27])).
% 0.08/0.41 fof(f63,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(e_1,X0,e_3)|product(e_2,X0,e_3)|product(e_3,X0,e_3)|product(e_4,X0,e_3))),
% 0.08/0.41 inference(resolution,[status(thm)],[f34,f26])).
% 0.08/0.41 fof(f64,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(X0,e_1,e_4)|product(X0,e_2,e_4)|product(X0,e_3,e_4)|product(X0,e_4,e_4))),
% 0.08/0.41 inference(resolution,[status(thm)],[f35,f27])).
% 0.08/0.41 fof(f65,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(e_1,X0,e_4)|product(e_2,X0,e_4)|product(e_3,X0,e_4)|product(e_4,X0,e_4))),
% 0.08/0.41 inference(resolution,[status(thm)],[f35,f26])).
% 0.08/0.41 fof(f66,plain,(
% 0.08/0.41 ![X0,X1]: (~product(e_1,X0,X1)|~product(e_2,X0,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f36,f54])).
% 0.08/0.41 fof(f67,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,e_1,X1)|~product(X0,e_2,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f36,f52])).
% 0.08/0.41 fof(f68,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,X1,e_1)|~product(X0,X1,e_2))),
% 0.08/0.41 inference(resolution,[status(thm)],[f36,f50])).
% 0.08/0.41 fof(f69,plain,(
% 0.08/0.41 ![X0,X1]: (~product(e_1,X0,X1)|~product(e_3,X0,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f37,f54])).
% 0.08/0.41 fof(f70,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,e_1,X1)|~product(X0,e_3,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f37,f52])).
% 0.08/0.41 fof(f71,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,X1,e_1)|~product(X0,X1,e_3))),
% 0.08/0.41 inference(resolution,[status(thm)],[f37,f50])).
% 0.08/0.41 fof(f72,plain,(
% 0.08/0.41 ![X0,X1]: (~product(e_1,X0,X1)|~product(e_4,X0,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f38,f54])).
% 0.08/0.41 fof(f73,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,e_1,X1)|~product(X0,e_4,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f38,f52])).
% 0.08/0.41 fof(f74,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,X1,e_1)|~product(X0,X1,e_4))),
% 0.08/0.41 inference(resolution,[status(thm)],[f38,f50])).
% 0.08/0.41 fof(f78,plain,(
% 0.08/0.41 ![X0,X1]: (~product(e_2,X0,X1)|~product(e_3,X0,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f40,f54])).
% 0.08/0.41 fof(f79,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,e_2,X1)|~product(X0,e_3,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f40,f52])).
% 0.08/0.41 fof(f80,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,X1,e_2)|~product(X0,X1,e_3))),
% 0.08/0.41 inference(resolution,[status(thm)],[f40,f50])).
% 0.08/0.41 fof(f81,plain,(
% 0.08/0.41 ![X0,X1]: (~product(e_2,X0,X1)|~product(e_4,X0,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f41,f54])).
% 0.08/0.41 fof(f82,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,e_2,X1)|~product(X0,e_4,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f41,f52])).
% 0.08/0.41 fof(f83,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,X1,e_2)|~product(X0,X1,e_4))),
% 0.08/0.41 inference(resolution,[status(thm)],[f41,f50])).
% 0.08/0.41 fof(f90,plain,(
% 0.08/0.41 ![X0,X1]: (~product(e_3,X0,X1)|~product(e_4,X0,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f44,f54])).
% 0.08/0.41 fof(f91,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,e_3,X1)|~product(X0,e_4,X1))),
% 0.08/0.41 inference(resolution,[status(thm)],[f44,f52])).
% 0.08/0.41 fof(f92,plain,(
% 0.08/0.41 ![X0,X1]: (~product(X0,X1,e_3)|~product(X0,X1,e_4))),
% 0.08/0.41 inference(resolution,[status(thm)],[f44,f50])).
% 0.08/0.41 fof(f102,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(X0,e_4,e_1)|product(X0,e_4,e_2)|product(X0,e_4,e_3)|product(X0,e_4,e_4))),
% 0.08/0.41 inference(resolution,[status(thm)],[f48,f35])).
% 0.08/0.41 fof(f103,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(X0,e_3,e_1)|product(X0,e_3,e_2)|product(X0,e_3,e_3)|product(X0,e_3,e_4))),
% 0.08/0.41 inference(resolution,[status(thm)],[f48,f34])).
% 0.08/0.41 fof(f104,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(X0,e_2,e_1)|product(X0,e_2,e_2)|product(X0,e_2,e_3)|product(X0,e_2,e_4))),
% 0.08/0.41 inference(resolution,[status(thm)],[f48,f33])).
% 0.08/0.41 fof(f105,plain,(
% 0.08/0.41 ![X0]: (~group_element(X0)|product(X0,e_1,e_1)|product(X0,e_1,e_2)|product(X0,e_1,e_3)|product(X0,e_1,e_4))),
% 0.08/0.41 inference(resolution,[status(thm)],[f48,f32])).
% 0.08/0.41 fof(f106,plain,(
% 0.08/0.41 product(e_4,e_1,e_1)|product(e_4,e_2,e_1)|product(e_4,e_3,e_1)|product(e_4,e_4,e_1)),
% 0.08/0.41 inference(resolution,[status(thm)],[f58,f35])).
% 0.08/0.41 fof(f107,plain,(
% 0.08/0.41 product(e_3,e_1,e_1)|product(e_3,e_2,e_1)|product(e_3,e_3,e_1)|product(e_3,e_4,e_1)),
% 0.08/0.41 inference(resolution,[status(thm)],[f58,f34])).
% 0.08/0.41 fof(f108,plain,(
% 0.08/0.41 product(e_2,e_1,e_1)|product(e_2,e_2,e_1)|product(e_2,e_3,e_1)|product(e_2,e_4,e_1)),
% 0.08/0.41 inference(resolution,[status(thm)],[f58,f33])).
% 0.08/0.41 fof(f110,definition,(
% 0.08/0.41 sQ0_spl <=> (product(e_4,e_1,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f111,plain,(
% 0.08/0.41 product(e_4,e_1,e_1)|~sQ0_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f110])).
% 0.08/0.41 fof(f113,definition,(
% 0.08/0.41 sQ1_spl <=> (product(e_4,e_2,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f114,plain,(
% 0.08/0.41 product(e_4,e_2,e_1)|~sQ1_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f113])).
% 0.08/0.41 fof(f116,definition,(
% 0.08/0.41 sQ2_spl <=> (product(e_4,e_3,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f117,plain,(
% 0.08/0.41 product(e_4,e_3,e_1)|~sQ2_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f116])).
% 0.08/0.41 fof(f119,definition,(
% 0.08/0.41 sQ3_spl <=> (product(e_4,e_4,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f120,plain,(
% 0.08/0.41 product(e_4,e_4,e_1)|~sQ3_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f119])).
% 0.08/0.41 fof(f122,plain,(
% 0.08/0.41 sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f106,f110,f113,f116,f119])).
% 0.08/0.41 fof(f123,definition,(
% 0.08/0.41 sQ4_spl <=> (product(e_3,e_1,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f124,plain,(
% 0.08/0.41 product(e_3,e_1,e_1)|~sQ4_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f123])).
% 0.08/0.41 fof(f126,definition,(
% 0.08/0.41 sQ5_spl <=> (product(e_3,e_2,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f127,plain,(
% 0.08/0.41 product(e_3,e_2,e_1)|~sQ5_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f126])).
% 0.08/0.41 fof(f129,definition,(
% 0.08/0.41 sQ6_spl <=> (product(e_3,e_3,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f130,plain,(
% 0.08/0.41 product(e_3,e_3,e_1)|~sQ6_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f129])).
% 0.08/0.41 fof(f132,definition,(
% 0.08/0.41 sQ7_spl <=> (product(e_3,e_4,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f133,plain,(
% 0.08/0.41 product(e_3,e_4,e_1)|~sQ7_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f132])).
% 0.08/0.41 fof(f135,plain,(
% 0.08/0.41 sQ4_spl|sQ5_spl|sQ6_spl|sQ7_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f107,f123,f126,f129,f132])).
% 0.08/0.41 fof(f136,definition,(
% 0.08/0.41 sQ8_spl <=> (product(e_2,e_1,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f137,plain,(
% 0.08/0.41 product(e_2,e_1,e_1)|~sQ8_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.08/0.41 fof(f139,definition,(
% 0.08/0.41 sQ9_spl <=> (product(e_2,e_2,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f140,plain,(
% 0.08/0.41 product(e_2,e_2,e_1)|~sQ9_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f139])).
% 0.08/0.41 fof(f142,definition,(
% 0.08/0.41 sQ10_spl <=> (product(e_2,e_3,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f143,plain,(
% 0.08/0.41 product(e_2,e_3,e_1)|~sQ10_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f142])).
% 0.08/0.41 fof(f145,definition,(
% 0.08/0.41 sQ11_spl <=> (product(e_2,e_4,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f146,plain,(
% 0.08/0.41 product(e_2,e_4,e_1)|~sQ11_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f145])).
% 0.08/0.41 fof(f148,plain,(
% 0.08/0.41 sQ8_spl|sQ9_spl|sQ10_spl|sQ11_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f108,f136,f139,f142,f145])).
% 0.08/0.41 fof(f149,definition,(
% 0.08/0.41 sQ12_spl <=> (product(e_1,e_1,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f150,plain,(
% 0.08/0.41 product(e_1,e_1,e_1)|~sQ12_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f149])).
% 0.08/0.41 fof(f152,definition,(
% 0.08/0.41 sQ13_spl <=> (product(e_1,e_2,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f155,definition,(
% 0.08/0.41 sQ14_spl <=> (product(e_1,e_3,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f156,plain,(
% 0.08/0.41 product(e_1,e_3,e_1)|~sQ14_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f155])).
% 0.08/0.41 fof(f158,definition,(
% 0.08/0.41 sQ15_spl <=> (product(e_1,e_4,e_1))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f159,plain,(
% 0.08/0.41 product(e_1,e_4,e_1)|~sQ15_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f158])).
% 0.08/0.41 fof(f162,plain,(
% 0.08/0.41 product(e_1,e_4,e_1)|product(e_2,e_4,e_1)|product(e_3,e_4,e_1)|product(e_4,e_4,e_1)),
% 0.08/0.41 inference(resolution,[status(thm)],[f59,f35])).
% 0.08/0.41 fof(f166,plain,(
% 0.08/0.41 sQ15_spl|sQ11_spl|sQ7_spl|sQ3_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f162,f158,f145,f132,f119])).
% 0.08/0.41 fof(f170,plain,(
% 0.08/0.41 product(e_4,e_1,e_2)|product(e_4,e_2,e_2)|product(e_4,e_3,e_2)|product(e_4,e_4,e_2)),
% 0.08/0.41 inference(resolution,[status(thm)],[f60,f35])).
% 0.08/0.41 fof(f171,plain,(
% 0.08/0.41 product(e_3,e_1,e_2)|product(e_3,e_2,e_2)|product(e_3,e_3,e_2)|product(e_3,e_4,e_2)),
% 0.08/0.41 inference(resolution,[status(thm)],[f60,f34])).
% 0.08/0.41 fof(f172,plain,(
% 0.08/0.41 product(e_2,e_1,e_2)|product(e_2,e_2,e_2)|product(e_2,e_3,e_2)|product(e_2,e_4,e_2)),
% 0.08/0.41 inference(resolution,[status(thm)],[f60,f33])).
% 0.08/0.41 fof(f173,plain,(
% 0.08/0.41 product(e_1,e_1,e_2)|product(e_1,e_2,e_2)|product(e_1,e_3,e_2)|product(e_1,e_4,e_2)),
% 0.08/0.41 inference(resolution,[status(thm)],[f60,f32])).
% 0.08/0.41 fof(f174,definition,(
% 0.08/0.41 sQ16_spl <=> (product(e_4,e_1,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f175,plain,(
% 0.08/0.41 product(e_4,e_1,e_2)|~sQ16_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f174])).
% 0.08/0.41 fof(f177,definition,(
% 0.08/0.41 sQ17_spl <=> (product(e_4,e_2,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f178,plain,(
% 0.08/0.41 product(e_4,e_2,e_2)|~sQ17_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f177])).
% 0.08/0.41 fof(f180,definition,(
% 0.08/0.41 sQ18_spl <=> (product(e_4,e_3,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f181,plain,(
% 0.08/0.41 product(e_4,e_3,e_2)|~sQ18_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f180])).
% 0.08/0.41 fof(f183,definition,(
% 0.08/0.41 sQ19_spl <=> (product(e_4,e_4,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f184,plain,(
% 0.08/0.41 product(e_4,e_4,e_2)|~sQ19_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f183])).
% 0.08/0.41 fof(f186,plain,(
% 0.08/0.41 sQ16_spl|sQ17_spl|sQ18_spl|sQ19_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f170,f174,f177,f180,f183])).
% 0.08/0.41 fof(f187,definition,(
% 0.08/0.41 sQ20_spl <=> (product(e_3,e_1,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f188,plain,(
% 0.08/0.41 product(e_3,e_1,e_2)|~sQ20_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f187])).
% 0.08/0.41 fof(f190,definition,(
% 0.08/0.41 sQ21_spl <=> (product(e_3,e_2,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f191,plain,(
% 0.08/0.41 product(e_3,e_2,e_2)|~sQ21_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f190])).
% 0.08/0.41 fof(f193,definition,(
% 0.08/0.41 sQ22_spl <=> (product(e_3,e_3,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f194,plain,(
% 0.08/0.41 product(e_3,e_3,e_2)|~sQ22_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f193])).
% 0.08/0.41 fof(f196,definition,(
% 0.08/0.41 sQ23_spl <=> (product(e_3,e_4,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f197,plain,(
% 0.08/0.41 product(e_3,e_4,e_2)|~sQ23_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f196])).
% 0.08/0.41 fof(f199,plain,(
% 0.08/0.41 sQ20_spl|sQ21_spl|sQ22_spl|sQ23_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f171,f187,f190,f193,f196])).
% 0.08/0.41 fof(f200,definition,(
% 0.08/0.41 sQ24_spl <=> (product(e_2,e_1,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f201,plain,(
% 0.08/0.41 product(e_2,e_1,e_2)|~sQ24_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f200])).
% 0.08/0.41 fof(f203,definition,(
% 0.08/0.41 sQ25_spl <=> (product(e_2,e_2,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f204,plain,(
% 0.08/0.41 product(e_2,e_2,e_2)|~sQ25_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f203])).
% 0.08/0.41 fof(f206,definition,(
% 0.08/0.41 sQ26_spl <=> (product(e_2,e_3,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f207,plain,(
% 0.08/0.41 product(e_2,e_3,e_2)|~sQ26_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f206])).
% 0.08/0.41 fof(f209,definition,(
% 0.08/0.41 sQ27_spl <=> (product(e_2,e_4,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f210,plain,(
% 0.08/0.41 product(e_2,e_4,e_2)|~sQ27_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f209])).
% 0.08/0.41 fof(f212,plain,(
% 0.08/0.41 sQ24_spl|sQ25_spl|sQ26_spl|sQ27_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f172,f200,f203,f206,f209])).
% 0.08/0.41 fof(f213,definition,(
% 0.08/0.41 sQ28_spl <=> (product(e_1,e_1,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f214,plain,(
% 0.08/0.41 product(e_1,e_1,e_2)|~sQ28_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f213])).
% 0.08/0.41 fof(f216,definition,(
% 0.08/0.41 sQ29_spl <=> (product(e_1,e_2,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f217,plain,(
% 0.08/0.41 product(e_1,e_2,e_2)|~sQ29_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f216])).
% 0.08/0.41 fof(f219,definition,(
% 0.08/0.41 sQ30_spl <=> (product(e_1,e_3,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f220,plain,(
% 0.08/0.41 product(e_1,e_3,e_2)|~sQ30_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f219])).
% 0.08/0.41 fof(f222,definition,(
% 0.08/0.41 sQ31_spl <=> (product(e_1,e_4,e_2))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f223,plain,(
% 0.08/0.41 product(e_1,e_4,e_2)|~sQ31_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f222])).
% 0.08/0.41 fof(f225,plain,(
% 0.08/0.41 sQ28_spl|sQ29_spl|sQ30_spl|sQ31_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f173,f213,f216,f219,f222])).
% 0.08/0.41 fof(f226,plain,(
% 0.08/0.41 product(e_1,e_4,e_2)|product(e_2,e_4,e_2)|product(e_3,e_4,e_2)|product(e_4,e_4,e_2)),
% 0.08/0.41 inference(resolution,[status(thm)],[f61,f35])).
% 0.08/0.41 fof(f227,plain,(
% 0.08/0.41 product(e_1,e_3,e_2)|product(e_2,e_3,e_2)|product(e_3,e_3,e_2)|product(e_4,e_3,e_2)),
% 0.08/0.41 inference(resolution,[status(thm)],[f61,f34])).
% 0.08/0.41 fof(f228,plain,(
% 0.08/0.41 product(e_1,e_2,e_2)|product(e_2,e_2,e_2)|product(e_3,e_2,e_2)|product(e_4,e_2,e_2)),
% 0.08/0.41 inference(resolution,[status(thm)],[f61,f33])).
% 0.08/0.41 fof(f230,plain,(
% 0.08/0.41 sQ31_spl|sQ27_spl|sQ23_spl|sQ19_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f226,f222,f209,f196,f183])).
% 0.08/0.41 fof(f231,plain,(
% 0.08/0.41 sQ30_spl|sQ26_spl|sQ22_spl|sQ18_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f227,f219,f206,f193,f180])).
% 0.08/0.41 fof(f232,plain,(
% 0.08/0.41 sQ29_spl|sQ25_spl|sQ21_spl|sQ17_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f228,f216,f203,f190,f177])).
% 0.08/0.41 fof(f234,plain,(
% 0.08/0.41 product(e_4,e_1,e_3)|product(e_4,e_2,e_3)|product(e_4,e_3,e_3)|product(e_4,e_4,e_3)),
% 0.08/0.41 inference(resolution,[status(thm)],[f62,f35])).
% 0.08/0.41 fof(f236,plain,(
% 0.08/0.41 product(e_2,e_1,e_3)|product(e_2,e_2,e_3)|product(e_2,e_3,e_3)|product(e_2,e_4,e_3)),
% 0.08/0.41 inference(resolution,[status(thm)],[f62,f33])).
% 0.08/0.41 fof(f237,plain,(
% 0.08/0.41 product(e_1,e_1,e_3)|product(e_1,e_2,e_3)|product(e_1,e_3,e_3)|product(e_1,e_4,e_3)),
% 0.08/0.41 inference(resolution,[status(thm)],[f62,f32])).
% 0.08/0.41 fof(f238,definition,(
% 0.08/0.41 sQ32_spl <=> (product(e_4,e_1,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f239,plain,(
% 0.08/0.41 product(e_4,e_1,e_3)|~sQ32_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f238])).
% 0.08/0.41 fof(f241,definition,(
% 0.08/0.41 sQ33_spl <=> (product(e_4,e_2,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f242,plain,(
% 0.08/0.41 product(e_4,e_2,e_3)|~sQ33_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f241])).
% 0.08/0.41 fof(f244,definition,(
% 0.08/0.41 sQ34_spl <=> (product(e_4,e_3,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f245,plain,(
% 0.08/0.41 product(e_4,e_3,e_3)|~sQ34_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f244])).
% 0.08/0.41 fof(f247,definition,(
% 0.08/0.41 sQ35_spl <=> (product(e_4,e_4,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f248,plain,(
% 0.08/0.41 product(e_4,e_4,e_3)|~sQ35_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f247])).
% 0.08/0.41 fof(f250,plain,(
% 0.08/0.41 sQ32_spl|sQ33_spl|sQ34_spl|sQ35_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f234,f238,f241,f244,f247])).
% 0.08/0.41 fof(f251,definition,(
% 0.08/0.41 sQ36_spl <=> (product(e_3,e_1,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f252,plain,(
% 0.08/0.41 product(e_3,e_1,e_3)|~sQ36_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f251])).
% 0.08/0.41 fof(f254,definition,(
% 0.08/0.41 sQ37_spl <=> (product(e_3,e_2,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f255,plain,(
% 0.08/0.41 product(e_3,e_2,e_3)|~sQ37_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f254])).
% 0.08/0.41 fof(f257,definition,(
% 0.08/0.41 sQ38_spl <=> (product(e_3,e_3,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f258,plain,(
% 0.08/0.41 product(e_3,e_3,e_3)|~sQ38_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f257])).
% 0.08/0.41 fof(f260,definition,(
% 0.08/0.41 sQ39_spl <=> (product(e_3,e_4,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f261,plain,(
% 0.08/0.41 product(e_3,e_4,e_3)|~sQ39_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f260])).
% 0.08/0.41 fof(f264,definition,(
% 0.08/0.41 sQ40_spl <=> (product(e_2,e_1,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f265,plain,(
% 0.08/0.41 product(e_2,e_1,e_3)|~sQ40_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f264])).
% 0.08/0.41 fof(f267,definition,(
% 0.08/0.41 sQ41_spl <=> (product(e_2,e_2,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f268,plain,(
% 0.08/0.41 product(e_2,e_2,e_3)|~sQ41_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f267])).
% 0.08/0.41 fof(f270,definition,(
% 0.08/0.41 sQ42_spl <=> (product(e_2,e_3,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f271,plain,(
% 0.08/0.41 product(e_2,e_3,e_3)|~sQ42_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f270])).
% 0.08/0.41 fof(f273,definition,(
% 0.08/0.41 sQ43_spl <=> (product(e_2,e_4,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f274,plain,(
% 0.08/0.41 product(e_2,e_4,e_3)|~sQ43_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f273])).
% 0.08/0.41 fof(f276,plain,(
% 0.08/0.41 sQ40_spl|sQ41_spl|sQ42_spl|sQ43_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f236,f264,f267,f270,f273])).
% 0.08/0.41 fof(f277,definition,(
% 0.08/0.41 sQ44_spl <=> (product(e_1,e_1,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f278,plain,(
% 0.08/0.41 product(e_1,e_1,e_3)|~sQ44_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f277])).
% 0.08/0.41 fof(f280,definition,(
% 0.08/0.41 sQ45_spl <=> (product(e_1,e_2,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f283,definition,(
% 0.08/0.41 sQ46_spl <=> (product(e_1,e_3,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f284,plain,(
% 0.08/0.41 product(e_1,e_3,e_3)|~sQ46_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f283])).
% 0.08/0.41 fof(f286,definition,(
% 0.08/0.41 sQ47_spl <=> (product(e_1,e_4,e_3))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f287,plain,(
% 0.08/0.41 product(e_1,e_4,e_3)|~sQ47_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f286])).
% 0.08/0.41 fof(f289,plain,(
% 0.08/0.41 sQ44_spl|sQ45_spl|sQ46_spl|sQ47_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f237,f277,f280,f283,f286])).
% 0.08/0.41 fof(f290,plain,(
% 0.08/0.41 product(e_1,e_4,e_3)|product(e_2,e_4,e_3)|product(e_3,e_4,e_3)|product(e_4,e_4,e_3)),
% 0.08/0.41 inference(resolution,[status(thm)],[f63,f35])).
% 0.08/0.41 fof(f291,plain,(
% 0.08/0.41 product(e_1,e_3,e_3)|product(e_2,e_3,e_3)|product(e_3,e_3,e_3)|product(e_4,e_3,e_3)),
% 0.08/0.41 inference(resolution,[status(thm)],[f63,f34])).
% 0.08/0.41 fof(f292,plain,(
% 0.08/0.41 product(e_1,e_2,e_3)|product(e_2,e_2,e_3)|product(e_3,e_2,e_3)|product(e_4,e_2,e_3)),
% 0.08/0.41 inference(resolution,[status(thm)],[f63,f33])).
% 0.08/0.41 fof(f293,plain,(
% 0.08/0.41 product(e_1,e_1,e_3)|product(e_2,e_1,e_3)|product(e_3,e_1,e_3)|product(e_4,e_1,e_3)),
% 0.08/0.41 inference(resolution,[status(thm)],[f63,f32])).
% 0.08/0.41 fof(f294,plain,(
% 0.08/0.41 sQ47_spl|sQ43_spl|sQ39_spl|sQ35_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f290,f286,f273,f260,f247])).
% 0.08/0.41 fof(f295,plain,(
% 0.08/0.41 sQ46_spl|sQ42_spl|sQ38_spl|sQ34_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f291,f283,f270,f257,f244])).
% 0.08/0.41 fof(f296,plain,(
% 0.08/0.41 sQ45_spl|sQ41_spl|sQ37_spl|sQ33_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f292,f280,f267,f254,f241])).
% 0.08/0.41 fof(f297,plain,(
% 0.08/0.41 sQ44_spl|sQ40_spl|sQ36_spl|sQ32_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f293,f277,f264,f251,f238])).
% 0.08/0.41 fof(f298,plain,(
% 0.08/0.41 product(e_4,e_1,e_4)|product(e_4,e_2,e_4)|product(e_4,e_3,e_4)|product(e_4,e_4,e_4)),
% 0.08/0.41 inference(resolution,[status(thm)],[f64,f35])).
% 0.08/0.41 fof(f300,plain,(
% 0.08/0.41 product(e_2,e_1,e_4)|product(e_2,e_2,e_4)|product(e_2,e_3,e_4)|product(e_2,e_4,e_4)),
% 0.08/0.41 inference(resolution,[status(thm)],[f64,f33])).
% 0.08/0.41 fof(f301,plain,(
% 0.08/0.41 product(e_1,e_1,e_4)|product(e_1,e_2,e_4)|product(e_1,e_3,e_4)|product(e_1,e_4,e_4)),
% 0.08/0.41 inference(resolution,[status(thm)],[f64,f32])).
% 0.08/0.41 fof(f302,definition,(
% 0.08/0.41 sQ48_spl <=> (product(e_4,e_1,e_4))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f303,plain,(
% 0.08/0.41 product(e_4,e_1,e_4)|~sQ48_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f302])).
% 0.08/0.41 fof(f305,definition,(
% 0.08/0.41 sQ49_spl <=> (product(e_4,e_2,e_4))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f306,plain,(
% 0.08/0.41 product(e_4,e_2,e_4)|~sQ49_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f305])).
% 0.08/0.41 fof(f308,definition,(
% 0.08/0.41 sQ50_spl <=> (product(e_4,e_3,e_4))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f309,plain,(
% 0.08/0.41 product(e_4,e_3,e_4)|~sQ50_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f308])).
% 0.08/0.41 fof(f311,definition,(
% 0.08/0.41 sQ51_spl <=> (product(e_4,e_4,e_4))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f312,plain,(
% 0.08/0.41 product(e_4,e_4,e_4)|~sQ51_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f311])).
% 0.08/0.41 fof(f314,plain,(
% 0.08/0.41 sQ48_spl|sQ49_spl|sQ50_spl|sQ51_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f298,f302,f305,f308,f311])).
% 0.08/0.41 fof(f315,definition,(
% 0.08/0.41 sQ52_spl <=> (product(e_3,e_1,e_4))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f316,plain,(
% 0.08/0.41 product(e_3,e_1,e_4)|~sQ52_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f315])).
% 0.08/0.41 fof(f318,definition,(
% 0.08/0.41 sQ53_spl <=> (product(e_3,e_2,e_4))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f319,plain,(
% 0.08/0.41 product(e_3,e_2,e_4)|~sQ53_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f318])).
% 0.08/0.41 fof(f321,definition,(
% 0.08/0.41 sQ54_spl <=> (product(e_3,e_3,e_4))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f322,plain,(
% 0.08/0.41 product(e_3,e_3,e_4)|~sQ54_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f321])).
% 0.08/0.41 fof(f324,definition,(
% 0.08/0.41 sQ55_spl <=> (product(e_3,e_4,e_4))),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f325,plain,(
% 0.08/0.41 product(e_3,e_4,e_4)|~sQ55_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f324])).
% 0.08/0.42 fof(f328,definition,(
% 0.08/0.42 sQ56_spl <=> (product(e_2,e_1,e_4))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f329,plain,(
% 0.08/0.42 product(e_2,e_1,e_4)|~sQ56_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f328])).
% 0.08/0.42 fof(f331,definition,(
% 0.08/0.42 sQ57_spl <=> (product(e_2,e_2,e_4))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f332,plain,(
% 0.08/0.42 product(e_2,e_2,e_4)|~sQ57_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f331])).
% 0.08/0.42 fof(f334,definition,(
% 0.08/0.42 sQ58_spl <=> (product(e_2,e_3,e_4))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f335,plain,(
% 0.08/0.42 product(e_2,e_3,e_4)|~sQ58_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f334])).
% 0.08/0.42 fof(f337,definition,(
% 0.08/0.42 sQ59_spl <=> (product(e_2,e_4,e_4))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f338,plain,(
% 0.08/0.42 product(e_2,e_4,e_4)|~sQ59_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f337])).
% 0.08/0.42 fof(f340,plain,(
% 0.08/0.42 sQ56_spl|sQ57_spl|sQ58_spl|sQ59_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f300,f328,f331,f334,f337])).
% 0.08/0.42 fof(f341,definition,(
% 0.08/0.42 sQ60_spl <=> (product(e_1,e_1,e_4))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f342,plain,(
% 0.08/0.42 product(e_1,e_1,e_4)|~sQ60_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f341])).
% 0.08/0.42 fof(f344,definition,(
% 0.08/0.42 sQ61_spl <=> (product(e_1,e_2,e_4))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f345,plain,(
% 0.08/0.42 product(e_1,e_2,e_4)|~sQ61_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f344])).
% 0.08/0.42 fof(f347,definition,(
% 0.08/0.42 sQ62_spl <=> (product(e_1,e_3,e_4))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f348,plain,(
% 0.08/0.42 product(e_1,e_3,e_4)|~sQ62_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f347])).
% 0.08/0.42 fof(f350,definition,(
% 0.08/0.42 sQ63_spl <=> (product(e_1,e_4,e_4))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f351,plain,(
% 0.08/0.42 product(e_1,e_4,e_4)|~sQ63_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f350])).
% 0.08/0.42 fof(f353,plain,(
% 0.08/0.42 sQ60_spl|sQ61_spl|sQ62_spl|sQ63_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f301,f341,f344,f347,f350])).
% 0.08/0.42 fof(f356,plain,(
% 0.08/0.42 product(e_1,e_2,e_4)|product(e_2,e_2,e_4)|product(e_3,e_2,e_4)|product(e_4,e_2,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f65,f33])).
% 0.08/0.42 fof(f357,plain,(
% 0.08/0.42 product(e_1,e_1,e_4)|product(e_2,e_1,e_4)|product(e_3,e_1,e_4)|product(e_4,e_1,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f65,f32])).
% 0.08/0.42 fof(f360,plain,(
% 0.08/0.42 sQ61_spl|sQ57_spl|sQ53_spl|sQ49_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f356,f344,f331,f318,f305])).
% 0.08/0.42 fof(f361,plain,(
% 0.08/0.42 sQ60_spl|sQ56_spl|sQ52_spl|sQ48_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f357,f341,f328,f315,f302])).
% 0.08/0.42 fof(f362,plain,(
% 0.08/0.42 product(e_4,e_4,e_1)|product(e_4,e_4,e_2)|product(e_4,e_4,e_3)|product(e_4,e_4,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f102,f35])).
% 0.08/0.42 fof(f363,plain,(
% 0.08/0.42 product(e_3,e_4,e_1)|product(e_3,e_4,e_2)|product(e_3,e_4,e_3)|product(e_3,e_4,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f102,f34])).
% 0.08/0.42 fof(f364,plain,(
% 0.08/0.42 product(e_2,e_4,e_1)|product(e_2,e_4,e_2)|product(e_2,e_4,e_3)|product(e_2,e_4,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f102,f33])).
% 0.08/0.42 fof(f365,plain,(
% 0.08/0.42 product(e_1,e_4,e_1)|product(e_1,e_4,e_2)|product(e_1,e_4,e_3)|product(e_1,e_4,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f102,f32])).
% 0.08/0.42 fof(f366,plain,(
% 0.08/0.42 sQ3_spl|sQ19_spl|sQ35_spl|sQ51_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f362,f119,f183,f247,f311])).
% 0.08/0.42 fof(f367,plain,(
% 0.08/0.42 sQ7_spl|sQ23_spl|sQ39_spl|sQ55_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f363,f132,f196,f260,f324])).
% 0.08/0.42 fof(f368,plain,(
% 0.08/0.42 sQ11_spl|sQ27_spl|sQ43_spl|sQ59_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f364,f145,f209,f273,f337])).
% 0.08/0.42 fof(f369,plain,(
% 0.08/0.42 sQ15_spl|sQ31_spl|sQ47_spl|sQ63_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f365,f158,f222,f286,f350])).
% 0.08/0.42 fof(f370,plain,(
% 0.08/0.42 product(e_4,e_3,e_1)|product(e_4,e_3,e_2)|product(e_4,e_3,e_3)|product(e_4,e_3,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f103,f35])).
% 0.08/0.42 fof(f371,plain,(
% 0.08/0.42 product(e_3,e_3,e_1)|product(e_3,e_3,e_2)|product(e_3,e_3,e_3)|product(e_3,e_3,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f103,f34])).
% 0.08/0.42 fof(f372,plain,(
% 0.08/0.42 product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3)|product(e_2,e_3,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f103,f33])).
% 0.08/0.42 fof(f374,plain,(
% 0.08/0.42 sQ2_spl|sQ18_spl|sQ34_spl|sQ50_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f370,f116,f180,f244,f308])).
% 0.08/0.42 fof(f375,plain,(
% 0.08/0.42 sQ6_spl|sQ22_spl|sQ38_spl|sQ54_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f371,f129,f193,f257,f321])).
% 0.08/0.42 fof(f376,plain,(
% 0.08/0.42 sQ10_spl|sQ26_spl|sQ42_spl|sQ58_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f372,f142,f206,f270,f334])).
% 0.08/0.42 fof(f378,plain,(
% 0.08/0.42 product(e_4,e_2,e_1)|product(e_4,e_2,e_2)|product(e_4,e_2,e_3)|product(e_4,e_2,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f104,f35])).
% 0.08/0.42 fof(f379,plain,(
% 0.08/0.42 product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3)|product(e_3,e_2,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f104,f34])).
% 0.08/0.42 fof(f380,plain,(
% 0.08/0.42 product(e_2,e_2,e_1)|product(e_2,e_2,e_2)|product(e_2,e_2,e_3)|product(e_2,e_2,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f104,f33])).
% 0.08/0.42 fof(f382,plain,(
% 0.08/0.42 sQ1_spl|sQ17_spl|sQ33_spl|sQ49_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f378,f113,f177,f241,f305])).
% 0.08/0.42 fof(f383,plain,(
% 0.08/0.42 sQ5_spl|sQ21_spl|sQ37_spl|sQ53_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f379,f126,f190,f254,f318])).
% 0.08/0.42 fof(f384,plain,(
% 0.08/0.42 sQ9_spl|sQ25_spl|sQ41_spl|sQ57_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f380,f139,f203,f267,f331])).
% 0.08/0.42 fof(f386,plain,(
% 0.08/0.42 product(e_4,e_1,e_1)|product(e_4,e_1,e_2)|product(e_4,e_1,e_3)|product(e_4,e_1,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f105,f35])).
% 0.08/0.42 fof(f387,plain,(
% 0.08/0.42 product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3)|product(e_3,e_1,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f105,f34])).
% 0.08/0.42 fof(f388,plain,(
% 0.08/0.42 product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f105,f33])).
% 0.08/0.42 fof(f389,plain,(
% 0.08/0.42 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)|product(e_1,e_1,e_4)),
% 0.08/0.42 inference(resolution,[status(thm)],[f105,f32])).
% 0.08/0.42 fof(f390,plain,(
% 0.08/0.42 sQ0_spl|sQ16_spl|sQ32_spl|sQ48_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f386,f110,f174,f238,f302])).
% 0.08/0.42 fof(f391,plain,(
% 0.08/0.42 sQ4_spl|sQ20_spl|sQ36_spl|sQ52_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f387,f123,f187,f251,f315])).
% 0.08/0.42 fof(f392,plain,(
% 0.08/0.42 sQ8_spl|sQ24_spl|sQ40_spl|sQ56_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f388,f136,f200,f264,f328])).
% 0.08/0.42 fof(f393,plain,(
% 0.08/0.42 sQ12_spl|sQ28_spl|sQ44_spl|sQ60_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f389,f149,f213,f277,f341])).
% 0.08/0.42 fof(f394,plain,(
% 0.08/0.42 ~product(e_3,e_1,e_1)|~sQ0_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f111,f90])).
% 0.08/0.42 fof(f395,plain,(
% 0.08/0.42 ~product(e_2,e_1,e_1)|~sQ0_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f111,f81])).
% 0.08/0.42 fof(f398,plain,(
% 0.08/0.42 ![X0]: (product(e_1,e_1,X0)|~product(e_1,e_4,X0)|~sQ0_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f111,f31])).
% 0.08/0.42 fof(f401,plain,(
% 0.08/0.42 $false|~sQ4_spl|~sQ0_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f394,f124])).
% 0.08/0.42 fof(f402,plain,(
% 0.08/0.42 ~sQ4_spl|~sQ0_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f401])).
% 0.08/0.42 fof(f403,plain,(
% 0.08/0.42 ~product(e_3,e_2,e_1)|~sQ1_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f114,f90])).
% 0.08/0.42 fof(f404,plain,(
% 0.08/0.42 ~product(e_2,e_2,e_1)|~sQ1_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f114,f81])).
% 0.08/0.42 fof(f405,plain,(
% 0.08/0.42 ~product(e_1,e_2,e_1)|~sQ1_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f114,f72])).
% 0.08/0.42 fof(f406,plain,(
% 0.08/0.42 ~product(e_4,e_1,e_1)|~sQ1_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f114,f67])).
% 0.08/0.42 fof(f408,plain,(
% 0.08/0.42 ![X0]: (product(e_2,e_1,X0)|~product(e_1,e_4,X0)|~sQ1_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f114,f31])).
% 0.08/0.42 fof(f411,plain,(
% 0.08/0.42 $false|~sQ5_spl|~sQ1_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f403,f127])).
% 0.08/0.42 fof(f412,plain,(
% 0.08/0.42 ~sQ5_spl|~sQ1_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f411])).
% 0.08/0.42 fof(f413,plain,(
% 0.08/0.42 ~product(e_3,e_3,e_1)|~sQ2_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f117,f90])).
% 0.08/0.42 fof(f414,plain,(
% 0.08/0.42 ~product(e_2,e_3,e_1)|~sQ2_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f117,f81])).
% 0.08/0.42 fof(f415,plain,(
% 0.08/0.42 ~product(e_1,e_3,e_1)|~sQ2_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f117,f72])).
% 0.08/0.42 fof(f416,plain,(
% 0.08/0.42 ~product(e_4,e_2,e_1)|~sQ2_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f117,f79])).
% 0.08/0.42 fof(f419,plain,(
% 0.08/0.42 ![X0]: (product(e_3,e_1,X0)|~product(e_1,e_4,X0)|~sQ2_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f117,f31])).
% 0.08/0.42 fof(f422,plain,(
% 0.08/0.42 $false|~sQ6_spl|~sQ2_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f413,f130])).
% 0.08/0.42 fof(f423,plain,(
% 0.08/0.42 ~sQ6_spl|~sQ2_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f422])).
% 0.08/0.42 fof(f424,plain,(
% 0.08/0.42 ~product(e_1,e_3,e_2)|~sQ31_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f223,f91])).
% 0.08/0.42 fof(f427,plain,(
% 0.08/0.42 ~product(e_1,e_4,e_1)|~sQ31_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f223,f68])).
% 0.08/0.42 fof(f432,plain,(
% 0.08/0.42 $false|~sQ30_spl|~sQ31_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f424,f220])).
% 0.08/0.42 fof(f433,plain,(
% 0.08/0.42 ~sQ30_spl|~sQ31_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f432])).
% 0.08/0.42 fof(f437,plain,(
% 0.08/0.42 ![X0]: (product(e_2,e_2,X0)|~product(e_2,e_1,X0)|~sQ29_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f217,f31])).
% 0.08/0.42 fof(f444,plain,(
% 0.08/0.42 $false|~sQ15_spl|~sQ31_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f427,f159])).
% 0.08/0.42 fof(f445,plain,(
% 0.08/0.42 ~sQ15_spl|~sQ31_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f444])).
% 0.08/0.42 fof(f446,plain,(
% 0.08/0.42 $false|~sQ29_spl|~sQ8_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f137,f450])).
% 0.08/0.42 fof(f447,plain,(
% 0.08/0.42 $false|~sQ29_spl|~sQ56_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f329,f450])).
% 0.08/0.42 fof(f448,plain,(
% 0.08/0.42 $false|~sQ29_spl|~sQ40_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f265,f450])).
% 0.08/0.42 fof(f449,plain,(
% 0.08/0.42 $false|~sQ29_spl|~sQ24_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f201,f450])).
% 0.08/0.42 fof(f450,plain,(
% 0.08/0.42 ![X0]: (~product(e_2,e_1,X0)|~sQ29_spl)),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f437,f67])).
% 0.08/0.42 fof(f451,plain,(
% 0.08/0.42 ~sQ29_spl|~sQ8_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f446])).
% 0.08/0.42 fof(f452,plain,(
% 0.08/0.42 ~product(e_1,e_4,e_2)|~sQ27_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f210,f66])).
% 0.08/0.42 fof(f454,plain,(
% 0.08/0.42 ~product(e_2,e_2,e_2)|~sQ27_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f210,f82])).
% 0.08/0.42 fof(f458,plain,(
% 0.08/0.42 ![X0]: (product(e_4,e_2,X0)|~product(e_2,e_2,X0)|~sQ27_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f210,f31])).
% 0.08/0.42 fof(f461,plain,(
% 0.08/0.42 $false|~sQ31_spl|~sQ27_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f452,f223])).
% 0.08/0.42 fof(f462,plain,(
% 0.08/0.42 ~sQ31_spl|~sQ27_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f461])).
% 0.08/0.42 fof(f463,plain,(
% 0.08/0.42 ~sQ29_spl|~sQ56_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f447])).
% 0.08/0.42 fof(f464,plain,(
% 0.08/0.42 ~sQ29_spl|~sQ40_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f448])).
% 0.08/0.42 fof(f466,plain,(
% 0.08/0.42 ~product(e_2,e_2,e_2)|~sQ26_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f207,f79])).
% 0.08/0.42 fof(f470,plain,(
% 0.08/0.42 ![X0]: (product(e_3,e_2,X0)|~product(e_2,e_2,X0)|~sQ26_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f207,f31])).
% 0.08/0.42 fof(f473,plain,(
% 0.08/0.42 $false|~sQ25_spl|~sQ26_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f466,f204])).
% 0.08/0.42 fof(f474,plain,(
% 0.08/0.42 ~sQ25_spl|~sQ26_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f473])).
% 0.08/0.42 fof(f476,plain,(
% 0.08/0.42 ~product(e_1,e_4,e_2)|~sQ23_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f197,f69])).
% 0.08/0.42 fof(f480,plain,(
% 0.08/0.42 ~product(e_3,e_4,e_1)|~sQ23_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f197,f68])).
% 0.08/0.42 fof(f489,plain,(
% 0.08/0.42 ~product(e_3,e_1,e_2)|~sQ21_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f191,f67])).
% 0.08/0.42 fof(f492,plain,(
% 0.08/0.42 ![X0]: (product(e_2,e_2,X0)|~product(e_2,e_3,X0)|~sQ21_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f191,f31])).
% 0.08/0.42 fof(f495,plain,(
% 0.08/0.42 $false|~sQ20_spl|~sQ21_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f489,f188])).
% 0.08/0.42 fof(f496,plain,(
% 0.08/0.42 ~sQ20_spl|~sQ21_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f495])).
% 0.08/0.42 fof(f497,plain,(
% 0.08/0.42 $false|~sQ21_spl|~sQ10_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f143,f500])).
% 0.08/0.42 fof(f498,plain,(
% 0.08/0.42 $false|~sQ21_spl|~sQ58_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f335,f500])).
% 0.08/0.42 fof(f499,plain,(
% 0.08/0.42 $false|~sQ21_spl|~sQ42_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f271,f500])).
% 0.08/0.42 fof(f500,plain,(
% 0.08/0.42 ![X0]: (~product(e_2,e_3,X0)|~sQ21_spl)),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f492,f79])).
% 0.08/0.42 fof(f501,plain,(
% 0.08/0.42 ~sQ21_spl|~sQ10_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f497])).
% 0.08/0.42 fof(f502,plain,(
% 0.08/0.42 $false|~sQ7_spl|~sQ23_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f480,f133])).
% 0.08/0.42 fof(f503,plain,(
% 0.08/0.42 ~sQ7_spl|~sQ23_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f502])).
% 0.08/0.42 fof(f504,plain,(
% 0.08/0.42 ~sQ21_spl|~sQ58_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f498])).
% 0.08/0.42 fof(f505,plain,(
% 0.08/0.42 ~product(e_3,e_1,e_2)|~sQ16_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f175,f90])).
% 0.08/0.42 fof(f506,plain,(
% 0.08/0.42 ~product(e_2,e_1,e_2)|~sQ16_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f175,f81])).
% 0.08/0.42 fof(f507,plain,(
% 0.08/0.42 ~product(e_1,e_1,e_2)|~sQ16_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f175,f72])).
% 0.08/0.42 fof(f513,plain,(
% 0.08/0.42 $false|~sQ24_spl|~sQ16_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f506,f201])).
% 0.08/0.42 fof(f514,plain,(
% 0.08/0.42 ~sQ24_spl|~sQ16_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f513])).
% 0.08/0.42 fof(f515,plain,(
% 0.08/0.42 ~sQ28_spl|~sQ16_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f507,f213,f174])).
% 0.08/0.42 fof(f516,plain,(
% 0.08/0.42 $false|~sQ26_spl|~sQ9_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f140,f519])).
% 0.08/0.42 fof(f517,plain,(
% 0.08/0.42 $false|~sQ26_spl|~sQ57_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f332,f519])).
% 0.08/0.42 fof(f518,plain,(
% 0.08/0.42 $false|~sQ26_spl|~sQ41_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f268,f519])).
% 0.08/0.42 fof(f519,plain,(
% 0.08/0.42 ![X0]: (~product(e_2,e_2,X0)|~sQ26_spl)),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f470,f78])).
% 0.08/0.42 fof(f520,plain,(
% 0.08/0.42 ~sQ26_spl|~sQ9_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f516])).
% 0.08/0.42 fof(f523,plain,(
% 0.08/0.42 ~sQ26_spl|~sQ57_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f517])).
% 0.08/0.42 fof(f524,plain,(
% 0.08/0.42 $false|~sQ27_spl|~sQ41_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f268,f525])).
% 0.08/0.42 fof(f525,plain,(
% 0.08/0.42 ![X0]: (~product(e_2,e_2,X0)|~sQ27_spl)),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f458,f81])).
% 0.08/0.42 fof(f526,plain,(
% 0.08/0.42 ~sQ27_spl|~sQ41_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f524])).
% 0.08/0.42 fof(f528,plain,(
% 0.08/0.42 ~product(e_2,e_2,e_2)|~sQ17_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f178,f81])).
% 0.08/0.42 fof(f533,plain,(
% 0.08/0.42 ![X0]: (product(e_2,e_2,X0)|~product(e_2,e_4,X0)|~sQ17_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f178,f31])).
% 0.08/0.42 fof(f536,plain,(
% 0.08/0.42 ~sQ25_spl|~sQ17_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f528,f203,f177])).
% 0.08/0.42 fof(f537,plain,(
% 0.08/0.42 $false|~sQ17_spl|~sQ59_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f338,f539])).
% 0.08/0.42 fof(f538,plain,(
% 0.08/0.42 $false|~sQ17_spl|~sQ43_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f274,f539])).
% 0.08/0.42 fof(f539,plain,(
% 0.08/0.42 ![X0]: (~product(e_2,e_4,X0)|~sQ17_spl)),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f533,f82])).
% 0.08/0.42 fof(f540,plain,(
% 0.08/0.42 ~sQ17_spl|~sQ59_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f537])).
% 0.08/0.42 fof(f541,plain,(
% 0.08/0.42 ~sQ17_spl|~sQ43_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f538])).
% 0.08/0.42 fof(f542,plain,(
% 0.08/0.42 ~sQ21_spl|~sQ42_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f499])).
% 0.08/0.42 fof(f543,plain,(
% 0.08/0.42 ~sQ26_spl|~sQ41_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f518])).
% 0.08/0.42 fof(f544,plain,(
% 0.08/0.42 ~product(e_3,e_3,e_2)|~sQ18_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f181,f90])).
% 0.08/0.42 fof(f546,plain,(
% 0.08/0.42 ~product(e_1,e_3,e_2)|~sQ18_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f181,f72])).
% 0.08/0.42 fof(f549,plain,(
% 0.08/0.42 ~product(e_4,e_3,e_1)|~sQ18_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f181,f68])).
% 0.08/0.42 fof(f553,plain,(
% 0.08/0.42 ![X0]: (product(e_3,X0,e_4)|~product(X0,e_4,e_2)|~sQ18_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f181,f29])).
% 0.08/0.42 fof(f554,plain,(
% 0.08/0.42 ~sQ30_spl|~sQ18_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f546,f219,f180])).
% 0.08/0.42 fof(f555,plain,(
% 0.08/0.42 ~sQ29_spl|~sQ24_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f449])).
% 0.08/0.42 fof(f556,plain,(
% 0.08/0.42 $false|~sQ17_spl|~sQ11_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f146,f539])).
% 0.08/0.42 fof(f557,plain,(
% 0.08/0.42 ~sQ17_spl|~sQ11_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f556])).
% 0.08/0.42 fof(f558,plain,(
% 0.08/0.42 ~product(e_1,e_3,e_3)|~sQ47_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f287,f91])).
% 0.08/0.42 fof(f560,plain,(
% 0.08/0.42 ~product(e_1,e_1,e_3)|~sQ47_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f287,f73])).
% 0.08/0.42 fof(f561,plain,(
% 0.08/0.42 ~product(e_1,e_4,e_2)|~sQ47_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f287,f80])).
% 0.08/0.42 fof(f565,plain,(
% 0.08/0.42 ![X0]: (product(X0,e_1,e_4)|~product(e_4,X0,e_3)|~sQ47_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f287,f29])).
% 0.08/0.42 fof(f566,plain,(
% 0.08/0.42 ![X0]: (product(e_4,X0,e_1)|~product(X0,e_1,e_3)|~sQ47_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f287,f29])).
% 0.08/0.42 fof(f567,plain,(
% 0.08/0.42 $false|~sQ46_spl|~sQ47_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f558,f284])).
% 0.08/0.42 fof(f568,plain,(
% 0.08/0.42 ~sQ46_spl|~sQ47_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f567])).
% 0.08/0.42 fof(f570,plain,(
% 0.08/0.42 $false|~sQ17_spl|~sQ27_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f210,f539])).
% 0.08/0.42 fof(f571,plain,(
% 0.08/0.42 ~sQ17_spl|~sQ27_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f570])).
% 0.08/0.42 fof(f584,plain,(
% 0.08/0.42 ~product(e_3,e_2,e_3)|~sQ38_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f258,f79])).
% 0.08/0.42 fof(f586,plain,(
% 0.08/0.42 ~product(e_3,e_3,e_2)|~sQ38_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f258,f80])).
% 0.08/0.42 fof(f596,plain,(
% 0.08/0.42 $false|~sQ37_spl|~sQ38_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f584,f255])).
% 0.08/0.42 fof(f597,plain,(
% 0.08/0.42 ~sQ37_spl|~sQ38_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f596])).
% 0.08/0.42 fof(f598,plain,(
% 0.08/0.42 ~sQ2_spl|~sQ18_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f549,f116,f180])).
% 0.08/0.42 fof(f599,plain,(
% 0.08/0.42 ~sQ10_spl|~sQ2_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f414,f142,f116])).
% 0.08/0.42 fof(f600,plain,(
% 0.08/0.42 $false|~sQ14_spl|~sQ2_spl),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f415,f156])).
% 0.08/0.42 fof(f601,plain,(
% 0.08/0.42 ~sQ14_spl|~sQ2_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f600])).
% 0.08/0.42 fof(f605,plain,(
% 0.08/0.42 ~product(e_3,e_1,e_1)|~sQ36_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f252,f71])).
% 0.08/0.42 fof(f607,plain,(
% 0.08/0.42 ![X0]: (product(e_1,e_3,X0)|~product(e_3,e_3,X0)|~sQ36_spl)),
% 0.08/0.42 inference(resolution,[status(thm)],[f252,f31])).
% 0.08/0.42 fof(f611,plain,(
% 0.08/0.42 $false|~sQ36_spl|~sQ6_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f130,f613])).
% 0.08/0.42 fof(f612,plain,(
% 0.08/0.42 $false|~sQ36_spl|~sQ54_spl),
% 0.08/0.42 inference(backward_subsumption_resolution,[status(thm)],[f322,f613])).
% 0.08/0.42 fof(f613,plain,(
% 0.08/0.42 ![X0]: (~product(e_3,e_3,X0)|~sQ36_spl)),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f607,f69])).
% 0.08/0.42 fof(f614,plain,(
% 0.08/0.42 ~sQ36_spl|~sQ6_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f611])).
% 0.08/0.42 fof(f617,plain,(
% 0.08/0.42 ~product(e_2,e_1,e_3)|~sQ32_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f239,f81])).
% 0.08/0.43 fof(f618,plain,(
% 0.08/0.43 ~product(e_1,e_1,e_3)|~sQ32_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f239,f72])).
% 0.08/0.43 fof(f619,plain,(
% 0.08/0.43 product(e_4,e_4,e_1)|~sQ32_spl|~sQ47_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f239,f566])).
% 0.08/0.43 fof(f620,plain,(
% 0.08/0.43 ~product(e_4,e_1,e_2)|~sQ32_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f239,f80])).
% 0.08/0.43 fof(f626,plain,(
% 0.08/0.43 product(e_2,e_1,e_4)|~sQ33_spl|~sQ47_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f242,f565])).
% 0.08/0.43 fof(f627,plain,(
% 0.08/0.43 ~product(e_3,e_2,e_3)|~sQ33_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f242,f90])).
% 0.08/0.43 fof(f628,plain,(
% 0.08/0.43 ~product(e_2,e_2,e_3)|~sQ33_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f242,f81])).
% 0.08/0.43 fof(f629,plain,(
% 0.08/0.43 ~product(e_1,e_2,e_3)|~sQ33_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f242,f72])).
% 0.08/0.43 fof(f630,plain,(
% 0.08/0.43 ~product(e_4,e_1,e_3)|~sQ33_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f242,f67])).
% 0.08/0.43 fof(f632,plain,(
% 0.08/0.43 ~product(e_4,e_2,e_1)|~sQ33_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f242,f71])).
% 0.08/0.43 fof(f637,plain,(
% 0.08/0.43 $false|~sQ32_spl|~sQ33_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f630,f239])).
% 0.08/0.43 fof(f638,plain,(
% 0.08/0.43 ~sQ32_spl|~sQ33_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f637])).
% 0.08/0.43 fof(f639,plain,(
% 0.08/0.43 $false|~sQ47_spl|~sQ44_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f278,f560])).
% 0.08/0.43 fof(f640,plain,(
% 0.08/0.43 ~sQ47_spl|~sQ44_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f639])).
% 0.08/0.43 fof(f644,plain,(
% 0.08/0.43 ~product(e_4,e_2,e_3)|~sQ34_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f245,f79])).
% 0.08/0.43 fof(f649,plain,(
% 0.08/0.43 ![X0]: (product(e_3,e_3,X0)|~product(e_3,e_4,X0)|~sQ34_spl)),
% 0.08/0.43 inference(resolution,[status(thm)],[f245,f31])).
% 0.08/0.43 fof(f653,plain,(
% 0.08/0.43 $false|~sQ33_spl|~sQ34_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f644,f242])).
% 0.08/0.43 fof(f654,plain,(
% 0.08/0.43 ~sQ33_spl|~sQ34_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f653])).
% 0.08/0.43 fof(f655,plain,(
% 0.08/0.43 ~sQ40_spl|~sQ32_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f617,f264,f238])).
% 0.08/0.43 fof(f656,plain,(
% 0.08/0.43 ~sQ44_spl|~sQ32_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f618,f277,f238])).
% 0.08/0.43 fof(f657,plain,(
% 0.08/0.43 ~sQ4_spl|~sQ36_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f605,f123,f251])).
% 0.08/0.43 fof(f658,plain,(
% 0.08/0.43 ~sQ36_spl|~sQ54_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f612])).
% 0.08/0.43 fof(f659,plain,(
% 0.08/0.43 $false|~sQ36_spl|~sQ22_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f194,f613])).
% 0.08/0.43 fof(f660,plain,(
% 0.08/0.43 ~sQ36_spl|~sQ22_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f659])).
% 0.08/0.43 fof(f661,plain,(
% 0.08/0.43 product(e_2,e_1,e_4)|~sQ63_spl|~sQ1_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f351,f408])).
% 0.08/0.43 fof(f662,plain,(
% 0.08/0.43 ~product(e_1,e_3,e_4)|~sQ63_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f351,f91])).
% 0.08/0.43 fof(f663,plain,(
% 0.08/0.43 ~product(e_1,e_2,e_4)|~sQ63_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f351,f82])).
% 0.08/0.43 fof(f664,plain,(
% 0.08/0.43 ~product(e_1,e_1,e_4)|~sQ63_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f351,f73])).
% 0.08/0.43 fof(f669,plain,(
% 0.08/0.43 ![X0]: (product(e_4,e_4,X0)|~product(e_4,e_1,X0)|~sQ63_spl)),
% 0.08/0.43 inference(resolution,[status(thm)],[f351,f31])).
% 0.08/0.43 fof(f672,plain,(
% 0.08/0.43 $false|~sQ62_spl|~sQ63_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f662,f348])).
% 0.08/0.43 fof(f673,plain,(
% 0.08/0.43 ~sQ62_spl|~sQ63_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f672])).
% 0.08/0.43 fof(f674,plain,(
% 0.08/0.43 $false|~sQ61_spl|~sQ63_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f663,f345])).
% 0.08/0.43 fof(f675,plain,(
% 0.08/0.43 ~sQ61_spl|~sQ63_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f674])).
% 0.08/0.43 fof(f676,plain,(
% 0.08/0.43 ~product(e_1,e_1,e_3)|~sQ60_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f342,f92])).
% 0.08/0.43 fof(f677,plain,(
% 0.08/0.43 ~product(e_1,e_1,e_2)|~sQ60_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f342,f83])).
% 0.08/0.43 fof(f678,plain,(
% 0.08/0.43 ~product(e_1,e_1,e_1)|~sQ60_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f342,f74])).
% 0.08/0.43 fof(f679,plain,(
% 0.08/0.43 product(e_1,e_1,e_1)|~sQ60_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f342,f57])).
% 0.08/0.43 fof(f686,plain,(
% 0.08/0.43 ~sQ44_spl|~sQ60_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f676,f277,f341])).
% 0.08/0.43 fof(f687,plain,(
% 0.08/0.43 $false|~sQ12_spl|~sQ60_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f678,f150])).
% 0.08/0.43 fof(f688,plain,(
% 0.08/0.43 ~sQ12_spl|~sQ60_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f687])).
% 0.08/0.43 fof(f689,plain,(
% 0.08/0.43 sQ12_spl|~sQ60_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f679,f149,f341])).
% 0.08/0.43 fof(f692,plain,(
% 0.08/0.43 ~sQ28_spl|~sQ60_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f677,f213,f341])).
% 0.08/0.43 fof(f693,plain,(
% 0.08/0.43 $false|~sQ60_spl|~sQ63_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f664,f342])).
% 0.08/0.43 fof(f694,plain,(
% 0.08/0.43 ~sQ60_spl|~sQ63_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f693])).
% 0.08/0.43 fof(f696,plain,(
% 0.08/0.43 ~product(e_1,e_2,e_4)|~sQ53_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f319,f69])).
% 0.08/0.43 fof(f697,plain,(
% 0.08/0.43 ~product(e_3,e_1,e_4)|~sQ53_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f319,f67])).
% 0.08/0.43 fof(f705,plain,(
% 0.08/0.43 $false|~sQ52_spl|~sQ53_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f697,f316])).
% 0.08/0.43 fof(f706,plain,(
% 0.08/0.43 ~sQ52_spl|~sQ53_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f705])).
% 0.08/0.43 fof(f707,plain,(
% 0.08/0.43 ~product(e_3,e_1,e_4)|~sQ48_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f303,f90])).
% 0.08/0.43 fof(f708,plain,(
% 0.08/0.43 ~product(e_2,e_1,e_4)|~sQ48_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f303,f81])).
% 0.08/0.43 fof(f710,plain,(
% 0.08/0.43 ~product(e_4,e_1,e_3)|~sQ48_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f303,f92])).
% 0.08/0.43 fof(f711,plain,(
% 0.08/0.43 ~product(e_4,e_1,e_2)|~sQ48_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f303,f83])).
% 0.08/0.43 fof(f714,plain,(
% 0.08/0.43 ![X0]: (product(e_1,e_4,X0)|~product(e_4,e_4,X0)|~sQ48_spl)),
% 0.08/0.43 inference(resolution,[status(thm)],[f303,f31])).
% 0.08/0.43 fof(f717,plain,(
% 0.08/0.43 $false|~sQ48_spl|~sQ35_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f248,f720])).
% 0.08/0.43 fof(f718,plain,(
% 0.08/0.43 $false|~sQ48_spl|~sQ19_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f184,f720])).
% 0.08/0.43 fof(f719,plain,(
% 0.08/0.43 $false|~sQ48_spl|~sQ3_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f120,f720])).
% 0.08/0.43 fof(f720,plain,(
% 0.08/0.43 ![X0]: (~product(e_4,e_4,X0)|~sQ48_spl)),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f714,f72])).
% 0.08/0.43 fof(f721,plain,(
% 0.08/0.43 ~sQ48_spl|~sQ35_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f717])).
% 0.08/0.43 fof(f722,plain,(
% 0.08/0.43 ~sQ8_spl|~sQ0_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f395,f136,f110])).
% 0.08/0.43 fof(f725,plain,(
% 0.08/0.43 ![X0]: (~product(e_1,e_4,X0)|~sQ0_spl)),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f398,f73])).
% 0.08/0.43 fof(f727,plain,(
% 0.08/0.43 $false|~sQ36_spl|~sQ38_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f258,f613])).
% 0.08/0.43 fof(f728,plain,(
% 0.08/0.43 ~sQ36_spl|~sQ38_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f727])).
% 0.08/0.43 fof(f729,plain,(
% 0.08/0.43 $false|~sQ34_spl|~sQ23_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f197,f732])).
% 0.08/0.43 fof(f730,plain,(
% 0.08/0.43 $false|~sQ34_spl|~sQ55_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f325,f732])).
% 0.08/0.43 fof(f731,plain,(
% 0.08/0.43 $false|~sQ34_spl|~sQ39_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f261,f732])).
% 0.08/0.43 fof(f732,plain,(
% 0.08/0.43 ![X0]: (~product(e_3,e_4,X0)|~sQ34_spl)),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f649,f91])).
% 0.08/0.43 fof(f733,plain,(
% 0.08/0.43 ~sQ34_spl|~sQ23_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f729])).
% 0.08/0.43 fof(f740,plain,(
% 0.08/0.43 ~product(e_4,e_2,e_1)|~sQ49_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f306,f74])).
% 0.08/0.43 fof(f742,plain,(
% 0.08/0.43 ![X0]: (product(e_2,e_4,X0)|~product(e_4,e_4,X0)|~sQ49_spl)),
% 0.08/0.43 inference(resolution,[status(thm)],[f306,f31])).
% 0.08/0.43 fof(f747,plain,(
% 0.08/0.43 $false|~sQ49_spl|~sQ51_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f312,f751])).
% 0.08/0.43 fof(f748,plain,(
% 0.08/0.43 $false|~sQ49_spl|~sQ19_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f184,f751])).
% 0.08/0.43 fof(f749,plain,(
% 0.08/0.43 $false|~sQ49_spl|~sQ3_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f120,f751])).
% 0.08/0.43 fof(f750,plain,(
% 0.08/0.43 $false|~sQ49_spl|~sQ35_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f248,f751])).
% 0.08/0.43 fof(f751,plain,(
% 0.08/0.43 ![X0]: (~product(e_4,e_4,X0)|~sQ49_spl)),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f742,f81])).
% 0.08/0.43 fof(f752,plain,(
% 0.08/0.43 ~sQ49_spl|~sQ51_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f747])).
% 0.08/0.43 fof(f754,plain,(
% 0.08/0.43 ~sQ9_spl|~sQ1_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f404,f139,f113])).
% 0.08/0.43 fof(f755,plain,(
% 0.08/0.43 ~sQ13_spl|~sQ1_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f405,f152,f113])).
% 0.08/0.43 fof(f756,plain,(
% 0.08/0.43 ~sQ0_spl|~sQ1_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f406,f110,f113])).
% 0.08/0.43 fof(f757,plain,(
% 0.08/0.43 $false|~sQ0_spl|~sQ31_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f223,f725])).
% 0.08/0.43 fof(f758,plain,(
% 0.08/0.43 ~sQ0_spl|~sQ31_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f757])).
% 0.08/0.43 fof(f761,plain,(
% 0.08/0.43 ~sQ48_spl|~sQ19_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f718])).
% 0.08/0.43 fof(f762,plain,(
% 0.08/0.43 ~sQ1_spl|~sQ33_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f632,f113,f241])).
% 0.08/0.43 fof(f763,plain,(
% 0.08/0.43 ~sQ45_spl|~sQ33_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f629,f280,f241])).
% 0.08/0.43 fof(f764,plain,(
% 0.08/0.43 ~sQ20_spl|~sQ16_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f505,f187,f174])).
% 0.08/0.43 fof(f765,plain,(
% 0.08/0.43 ~sQ25_spl|~sQ27_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f454,f203,f209])).
% 0.08/0.43 fof(f768,plain,(
% 0.08/0.43 ~sQ22_spl|~sQ18_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f544,f193,f180])).
% 0.08/0.43 fof(f770,plain,(
% 0.08/0.43 ~sQ32_spl|~sQ48_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f710,f238,f302])).
% 0.08/0.43 fof(f771,plain,(
% 0.08/0.43 ~sQ52_spl|~sQ48_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f707,f315,f302])).
% 0.08/0.43 fof(f772,plain,(
% 0.08/0.43 ~sQ56_spl|~sQ48_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f708,f328,f302])).
% 0.08/0.43 fof(f773,plain,(
% 0.08/0.43 ~sQ48_spl|~sQ3_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f719])).
% 0.08/0.43 fof(f774,plain,(
% 0.08/0.43 $false|~sQ0_spl|~sQ47_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f287,f725])).
% 0.08/0.43 fof(f775,plain,(
% 0.08/0.43 ~sQ0_spl|~sQ47_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f774])).
% 0.08/0.43 fof(f777,plain,(
% 0.08/0.43 ~product(e_2,e_3,e_4)|~sQ50_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f309,f81])).
% 0.08/0.43 fof(f778,plain,(
% 0.08/0.43 ~product(e_1,e_3,e_4)|~sQ50_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f309,f72])).
% 0.08/0.43 fof(f785,plain,(
% 0.08/0.43 ![X0]: (product(e_3,e_4,X0)|~product(e_4,e_4,X0)|~sQ50_spl)),
% 0.08/0.43 inference(resolution,[status(thm)],[f309,f31])).
% 0.08/0.43 fof(f789,plain,(
% 0.08/0.43 $false|~sQ50_spl|~sQ19_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f184,f790])).
% 0.08/0.43 fof(f790,plain,(
% 0.08/0.43 ![X0]: (~product(e_4,e_4,X0)|~sQ50_spl)),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f785,f90])).
% 0.08/0.43 fof(f791,plain,(
% 0.08/0.43 ~sQ50_spl|~sQ19_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f789])).
% 0.08/0.43 fof(f796,plain,(
% 0.08/0.43 ~product(e_3,e_1,e_4)|~sQ55_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f325,f73])).
% 0.08/0.43 fof(f809,plain,(
% 0.08/0.43 $false|~sQ55_spl|~sQ52_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f316,f796])).
% 0.08/0.43 fof(f810,plain,(
% 0.08/0.43 ~sQ55_spl|~sQ52_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f809])).
% 0.08/0.43 fof(f812,plain,(
% 0.08/0.43 ~product(e_2,e_1,e_2)|~sQ25_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f204,f67])).
% 0.08/0.43 fof(f813,plain,(
% 0.08/0.43 ~product(e_2,e_2,e_1)|~sQ25_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f204,f68])).
% 0.08/0.43 fof(f822,plain,(
% 0.08/0.43 ~product(e_1,e_2,e_3)|~sQ61_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f345,f92])).
% 0.08/0.43 fof(f827,plain,(
% 0.08/0.43 ![X0]: (product(X0,e_1,e_2)|~product(e_2,X0,e_4)|~sQ61_spl)),
% 0.08/0.43 inference(resolution,[status(thm)],[f345,f29])).
% 0.08/0.43 fof(f829,plain,(
% 0.08/0.43 ~sQ45_spl|~sQ61_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f822,f280,f344])).
% 0.08/0.43 fof(f830,plain,(
% 0.08/0.43 $false|~sQ25_spl|~sQ24_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f201,f812])).
% 0.08/0.43 fof(f831,plain,(
% 0.08/0.43 ~sQ25_spl|~sQ24_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f830])).
% 0.08/0.43 fof(f833,plain,(
% 0.08/0.43 ~sQ37_spl|~sQ33_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f627,f254,f241])).
% 0.08/0.43 fof(f834,plain,(
% 0.08/0.43 ~sQ9_spl|~sQ25_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f813,f139,f203])).
% 0.08/0.43 fof(f836,plain,(
% 0.08/0.43 ![X0]: (~product(e_4,e_1,X0)|~sQ63_spl)),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f669,f73])).
% 0.08/0.43 fof(f837,plain,(
% 0.08/0.43 $false|~sQ0_spl|~sQ63_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f351,f725])).
% 0.08/0.43 fof(f838,plain,(
% 0.08/0.43 ~sQ0_spl|~sQ63_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f837])).
% 0.08/0.43 fof(f839,plain,(
% 0.08/0.43 $false|~sQ2_spl|~sQ1_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f114,f416])).
% 0.08/0.43 fof(f840,plain,(
% 0.08/0.43 ~sQ2_spl|~sQ1_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f839])).
% 0.08/0.43 fof(f844,plain,(
% 0.08/0.43 ~sQ1_spl|~sQ49_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f740,f113,f305])).
% 0.08/0.43 fof(f846,plain,(
% 0.08/0.43 ~sQ49_spl|~sQ3_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f749])).
% 0.08/0.43 fof(f848,plain,(
% 0.08/0.43 ~sQ34_spl|~sQ39_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f731])).
% 0.08/0.43 fof(f849,plain,(
% 0.08/0.43 ~sQ58_spl|~sQ50_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f777,f334,f308])).
% 0.08/0.43 fof(f850,plain,(
% 0.08/0.43 ~sQ62_spl|~sQ50_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f778,f347,f308])).
% 0.08/0.43 fof(f851,plain,(
% 0.08/0.43 $false|~sQ50_spl|~sQ35_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f248,f790])).
% 0.08/0.43 fof(f853,plain,(
% 0.08/0.43 ~sQ50_spl|~sQ35_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f851])).
% 0.08/0.43 fof(f854,plain,(
% 0.08/0.43 ~sQ49_spl|~sQ19_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f748])).
% 0.08/0.43 fof(f855,plain,(
% 0.08/0.43 ~sQ16_spl|~sQ48_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f711,f174,f302])).
% 0.08/0.43 fof(f856,plain,(
% 0.08/0.43 $false|~sQ48_spl|~sQ51_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f312,f720])).
% 0.08/0.43 fof(f857,plain,(
% 0.08/0.43 ~sQ48_spl|~sQ51_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f856])).
% 0.08/0.43 fof(f858,plain,(
% 0.08/0.43 $false|~sQ50_spl|~sQ3_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f120,f790])).
% 0.08/0.43 fof(f859,plain,(
% 0.08/0.43 ~sQ50_spl|~sQ3_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f858])).
% 0.08/0.43 fof(f860,plain,(
% 0.08/0.43 ~sQ49_spl|~sQ35_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f750])).
% 0.08/0.43 fof(f861,plain,(
% 0.08/0.43 $false|~sQ34_spl|~sQ7_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f133,f732])).
% 0.08/0.43 fof(f862,plain,(
% 0.08/0.43 ~sQ34_spl|~sQ7_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f861])).
% 0.08/0.43 fof(f863,plain,(
% 0.08/0.43 ~sQ61_spl|~sQ53_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f696,f344,f318])).
% 0.08/0.43 fof(f877,plain,(
% 0.08/0.43 ~product(e_1,e_1,e_1)|~sQ15_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f159,f73])).
% 0.08/0.43 fof(f879,plain,(
% 0.08/0.43 ![X0]: (product(e_4,e_1,X0)|~product(e_1,e_1,X0)|~sQ15_spl)),
% 0.08/0.43 inference(resolution,[status(thm)],[f159,f31])).
% 0.08/0.43 fof(f883,plain,(
% 0.08/0.43 ~sQ12_spl|~sQ15_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f877,f149,f158])).
% 0.08/0.43 fof(f885,plain,(
% 0.08/0.43 $false|~sQ15_spl|~sQ28_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f214,f886])).
% 0.08/0.43 fof(f886,plain,(
% 0.08/0.43 ![X0]: (~product(e_1,e_1,X0)|~sQ15_spl)),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f879,f72])).
% 0.08/0.43 fof(f888,plain,(
% 0.08/0.43 $false|~sQ15_spl|~sQ44_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f278,f886])).
% 0.08/0.43 fof(f889,plain,(
% 0.08/0.43 ~sQ15_spl|~sQ44_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f888])).
% 0.08/0.43 fof(f892,plain,(
% 0.08/0.43 ~sQ41_spl|~sQ33_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f628,f267,f241])).
% 0.08/0.43 fof(f894,plain,(
% 0.08/0.43 ~product(e_2,e_1,e_3)|~sQ56_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f329,f92])).
% 0.08/0.43 fof(f896,plain,(
% 0.08/0.43 ~product(e_2,e_1,e_1)|~sQ56_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f329,f74])).
% 0.08/0.43 fof(f901,plain,(
% 0.08/0.43 ~sQ8_spl|~sQ56_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f896,f136,f328])).
% 0.08/0.43 fof(f905,plain,(
% 0.08/0.43 ~product(e_2,e_1,e_3)|~sQ43_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f274,f73])).
% 0.08/0.43 fof(f907,plain,(
% 0.08/0.43 ~product(e_2,e_4,e_1)|~sQ43_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f274,f71])).
% 0.08/0.43 fof(f912,plain,(
% 0.08/0.43 product(e_1,e_1,e_2)|~sQ61_spl|~sQ56_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f827,f329])).
% 0.08/0.43 fof(f939,plain,(
% 0.08/0.43 ![X0]: (product(e_3,e_3,X0)|~product(e_3,e_1,X0)|~sQ46_spl)),
% 0.08/0.43 inference(resolution,[status(thm)],[f284,f31])).
% 0.08/0.43 fof(f942,plain,(
% 0.08/0.43 $false|~sQ46_spl|~sQ52_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f316,f944])).
% 0.08/0.43 fof(f943,plain,(
% 0.08/0.43 $false|~sQ46_spl|~sQ20_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f188,f944])).
% 0.08/0.43 fof(f944,plain,(
% 0.08/0.43 ![X0]: (~product(e_3,e_1,X0)|~sQ46_spl)),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f939,f70])).
% 0.08/0.43 fof(f945,plain,(
% 0.08/0.43 ~sQ46_spl|~sQ52_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f942])).
% 0.08/0.43 fof(f947,plain,(
% 0.08/0.43 ~sQ34_spl|~sQ55_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f730])).
% 0.08/0.43 fof(f948,plain,(
% 0.08/0.43 ~sQ40_spl|~sQ43_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f905,f264,f273])).
% 0.08/0.43 fof(f949,plain,(
% 0.08/0.43 $false|~sQ43_spl|~sQ11_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f146,f907])).
% 0.08/0.43 fof(f950,plain,(
% 0.08/0.43 ~sQ43_spl|~sQ11_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f949])).
% 0.08/0.43 fof(f951,plain,(
% 0.08/0.43 $false|~sQ63_spl|~sQ16_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f175,f836])).
% 0.08/0.43 fof(f952,plain,(
% 0.08/0.43 ~sQ63_spl|~sQ16_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f951])).
% 0.08/0.43 fof(f954,plain,(
% 0.08/0.43 ~sQ15_spl|~sQ28_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f885])).
% 0.08/0.43 fof(f957,plain,(
% 0.08/0.43 ![X0]: (~product(e_1,e_4,X0)|~sQ46_spl|~sQ2_spl)),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f419,f944])).
% 0.08/0.43 fof(f958,plain,(
% 0.08/0.43 $false|~sQ46_spl|~sQ2_spl|~sQ31_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f223,f957])).
% 0.08/0.43 fof(f959,plain,(
% 0.08/0.43 ~sQ46_spl|~sQ2_spl|~sQ31_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f958])).
% 0.08/0.43 fof(f961,plain,(
% 0.08/0.43 ~product(e_2,e_4,e_4)|~sQ51_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f312,f81])).
% 0.08/0.43 fof(f962,plain,(
% 0.08/0.43 ~product(e_1,e_4,e_4)|~sQ51_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f312,f72])).
% 0.08/0.43 fof(f967,plain,(
% 0.08/0.43 ~product(e_4,e_4,e_2)|~sQ51_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f312,f83])).
% 0.08/0.43 fof(f968,plain,(
% 0.08/0.43 ~product(e_4,e_4,e_1)|~sQ51_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f312,f74])).
% 0.08/0.43 fof(f976,plain,(
% 0.08/0.43 ~sQ59_spl|~sQ51_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f961,f337,f311])).
% 0.08/0.43 fof(f977,plain,(
% 0.08/0.43 ~sQ63_spl|~sQ51_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f962,f350,f311])).
% 0.08/0.43 fof(f979,plain,(
% 0.08/0.43 sQ56_spl|~sQ63_spl|~sQ1_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f661,f328,f350,f113])).
% 0.08/0.43 fof(f980,plain,(
% 0.08/0.43 $false|~sQ51_spl|~sQ19_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f184,f967])).
% 0.08/0.43 fof(f981,plain,(
% 0.08/0.43 ~sQ51_spl|~sQ19_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f980])).
% 0.08/0.43 fof(f982,plain,(
% 0.08/0.43 sQ56_spl|~sQ33_spl|~sQ47_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f626,f328,f241,f286])).
% 0.08/0.43 fof(f983,plain,(
% 0.08/0.43 ~sQ31_spl|~sQ47_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f561,f222,f286])).
% 0.08/0.43 fof(f984,plain,(
% 0.08/0.43 ~sQ31_spl|~sQ23_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f476,f222,f196])).
% 0.08/0.43 fof(f985,plain,(
% 0.08/0.43 ~sQ16_spl|~sQ32_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f620,f174,f238])).
% 0.08/0.43 fof(f986,plain,(
% 0.08/0.43 $false|~sQ51_spl|~sQ32_spl|~sQ47_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f619,f968])).
% 0.08/0.43 fof(f987,plain,(
% 0.08/0.43 ~sQ51_spl|~sQ32_spl|~sQ47_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f986])).
% 0.08/0.43 fof(f994,plain,(
% 0.08/0.43 ![X0]: (product(e_3,e_3,X0)|~product(e_3,e_2,X0)|~sQ42_spl)),
% 0.08/0.43 inference(resolution,[status(thm)],[f271,f31])).
% 0.08/0.43 fof(f998,plain,(
% 0.08/0.43 $false|~sQ42_spl|~sQ37_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f255,f1000])).
% 0.08/0.43 fof(f1000,plain,(
% 0.08/0.43 ![X0]: (~product(e_3,e_2,X0)|~sQ42_spl)),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f994,f79])).
% 0.08/0.43 fof(f1001,plain,(
% 0.08/0.43 ~sQ42_spl|~sQ37_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f998])).
% 0.08/0.43 fof(f1004,plain,(
% 0.08/0.43 ~sQ46_spl|~sQ20_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f943])).
% 0.08/0.43 fof(f1024,plain,(
% 0.08/0.43 product(e_2,e_1,e_2)|~sQ31_spl|~sQ1_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f223,f408])).
% 0.08/0.43 fof(f1025,plain,(
% 0.08/0.43 product(e_3,e_1,e_4)|~sQ31_spl|~sQ18_spl),
% 0.08/0.43 inference(resolution,[status(thm)],[f223,f553])).
% 0.08/0.43 fof(f1035,plain,(
% 0.08/0.43 sQ24_spl|~sQ31_spl|~sQ1_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f1024,f200,f222,f113])).
% 0.08/0.43 fof(f1036,plain,(
% 0.08/0.43 sQ52_spl|~sQ31_spl|~sQ18_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f1025,f315,f222,f180])).
% 0.08/0.43 fof(f1038,plain,(
% 0.08/0.43 sQ28_spl|~sQ61_spl|~sQ56_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f912,f213,f344,f328])).
% 0.08/0.43 fof(f1039,plain,(
% 0.08/0.43 $false|~sQ42_spl|~sQ5_spl),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f127,f1000])).
% 0.08/0.43 fof(f1040,plain,(
% 0.08/0.43 ~sQ42_spl|~sQ5_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f1039])).
% 0.08/0.43 fof(f1041,plain,(
% 0.08/0.43 ~sQ22_spl|~sQ38_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f586,f193,f257])).
% 0.08/0.43 fof(f1043,plain,(
% 0.08/0.43 $false|~sQ42_spl|~sQ53_spl),
% 0.08/0.43 inference(backward_subsumption_resolution,[status(thm)],[f319,f1000])).
% 0.08/0.43 fof(f1044,plain,(
% 0.08/0.43 ~sQ40_spl|~sQ56_spl),
% 0.08/0.43 inference(split_clause,[status(thm)],[f894,f264,f328])).
% 0.08/0.43 fof(f1045,plain,(
% 0.08/0.43 ~sQ42_spl|~sQ53_spl),
% 0.08/0.43 inference(contradiction_clause,[status(thm)],[f1043])).
% 0.08/0.43 fof(f1046,plain,(
% 0.08/0.43 $false),
% 0.08/0.43 inference(sat_refutation,[status(thm)],[f122,f135,f148,f166,f186,f199,f212,f225,f230,f231,f232,f250,f276,f289,f294,f295,f296,f297,f314,f340,f353,f360,f361,f366,f367,f368,f369,f374,f375,f376,f382,f383,f384,f390,f391,f392,f393,f402,f412,f423,f433,f445,f451,f462,f463,f464,f474,f496,f501,f503,f504,f514,f515,f520,f523,f526,f536,f540,f541,f542,f543,f554,f555,f557,f568,f571,f597,f598,f599,f601,f614,f638,f640,f654,f655,f656,f657,f658,f660,f673,f675,f686,f688,f689,f692,f694,f706,f721,f722,f728,f733,f752,f754,f755,f756,f758,f761,f762,f763,f764,f765,f768,f770,f771,f772,f773,f775,f791,f810,f829,f831,f833,f834,f838,f840,f844,f846,f848,f849,f850,f853,f854,f855,f857,f859,f860,f862,f863,f883,f889,f892,f901,f945,f947,f948,f950,f952,f954,f959,f976,f977,f979,f981,f982,f983,f984,f985,f987,f1001,f1004,f1035,f1036,f1038,f1040,f1041,f1044,f1045])).
% 0.08/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.43 % Elapsed time: 0.132756 seconds
% 0.08/0.43 % CPU time: 0.808014 seconds
% 0.08/0.43 % Total memory used: 32.470 MB
% 0.08/0.43 % Net memory used: 31.282 MB
%------------------------------------------------------------------------------