%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP127-3.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:35:53 PM UTC 2026
% Result : Unsatisfiable 0.54s 0.64s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP127-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 20 19:58:05 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.54/0.64 % Refutation found
% 0.54/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.54/0.64 % SZS output start CNFRefutation for theBenchmark
% 0.54/0.64 fof(f2,axiom,(
% 0.54/0.64 next(e_1,e_2) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f4,axiom,(
% 0.54/0.64 next(e_3,e_4) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f5,axiom,(
% 0.54/0.64 greater(e_1,e_0) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f6,axiom,(
% 0.54/0.64 greater(e_2,e_0) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f7,axiom,(
% 0.54/0.64 greater(e_3,e_0) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f11,axiom,(
% 0.54/0.64 greater(e_4,e_1) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f12,axiom,(
% 0.54/0.64 greater(e_3,e_2) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f13,axiom,(
% 0.54/0.64 greater(e_4,e_2) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f14,axiom,(
% 0.54/0.64 greater(e_4,e_3) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f16,axiom,(
% 0.54/0.64 (![X]: (( ~ group_element(X)| cycle(X,e_0)| cycle(X,e_1)| cycle(X,e_2)| cycle(X,e_3) ) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f17,axiom,(
% 0.54/0.64 cycle(e_4,e_0) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f18,axiom,(
% 0.54/0.64 (![X,Y,W,Z,Z1]: (( ~ cycle(X,Y)| ~ cycle(W,Z)| ~ next(X,W)| ~ greater(Y,e_0)| ~ next(Z,Z1)| equalish(Y,Z1) ) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f19,axiom,(
% 0.54/0.64 (![X,Z1,Y,W,Z2]: (( ~ cycle(X,Z1)| ~ cycle(Y,e_0)| ~ cycle(W,Z2)| ~ next(Y,W)| ~ greater(Y,X)| ~ greater(Z1,Z2) ) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f20,axiom,(
% 0.54/0.64 (![X,Y]: (( ~ cycle(X,e_0)| ~ product(X,e_1,Y)| ~ greater(Y,X) ) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f21,axiom,(
% 0.54/0.64 (![X,Y,Z,X1]: (( ~ cycle(X,Y)| ~ product(X,e_1,Z)| ~ greater(Y,e_0)| ~ next(X,X1)| equalish(Z,X1) ) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f22,axiom,(
% 0.54/0.64 group_element(e_1) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f23,axiom,(
% 0.54/0.64 group_element(e_2) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f24,axiom,(
% 0.54/0.64 group_element(e_3) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f25,axiom,(
% 0.54/0.64 group_element(e_4) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f26,axiom,(
% 0.54/0.64 ~ equalish(e_1,e_2) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f27,axiom,(
% 0.54/0.64 ~ equalish(e_1,e_3) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f28,axiom,(
% 0.54/0.64 ~ equalish(e_1,e_4) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f29,axiom,(
% 0.54/0.64 ~ equalish(e_2,e_1) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f30,axiom,(
% 0.54/0.64 ~ equalish(e_2,e_3) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f31,axiom,(
% 0.54/0.64 ~ equalish(e_2,e_4) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f32,axiom,(
% 0.54/0.64 ~ equalish(e_3,e_1) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f33,axiom,(
% 0.54/0.64 ~ equalish(e_3,e_2) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f34,axiom,(
% 0.54/0.64 ~ equalish(e_3,e_4) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f35,axiom,(
% 0.54/0.64 ~ equalish(e_4,e_1) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f36,axiom,(
% 0.54/0.64 ~ equalish(e_4,e_2) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f37,axiom,(
% 0.54/0.64 ~ equalish(e_4,e_3) ),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f38,axiom,(
% 0.54/0.64 (![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) ) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f39,axiom,(
% 0.54/0.64 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f40,axiom,(
% 0.54/0.64 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f41,axiom,(
% 0.54/0.64 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f42,axiom,(
% 0.54/0.64 (![X]: (product(X,X,X) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f43,negated_conjecture,(
% 0.54/0.64 (![Y,X,Z1,Z2]: (( ~ product(Y,X,Z1)| ~ product(Z1,Y,Z2)| product(Z2,Y,X) ) ))),
% 0.54/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.54/0.64 fof(f45,plain,(
% 0.54/0.64 next(e_1,e_2)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f2])).
% 0.54/0.64 fof(f47,plain,(
% 0.54/0.64 next(e_3,e_4)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f4])).
% 0.54/0.64 fof(f48,plain,(
% 0.54/0.64 greater(e_1,e_0)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f5])).
% 0.54/0.64 fof(f49,plain,(
% 0.54/0.64 greater(e_2,e_0)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f6])).
% 0.54/0.64 fof(f50,plain,(
% 0.54/0.64 greater(e_3,e_0)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f7])).
% 0.54/0.64 fof(f54,plain,(
% 0.54/0.64 greater(e_4,e_1)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f11])).
% 0.54/0.64 fof(f55,plain,(
% 0.54/0.64 greater(e_3,e_2)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f12])).
% 0.54/0.64 fof(f56,plain,(
% 0.54/0.64 greater(e_4,e_2)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f13])).
% 0.54/0.64 fof(f57,plain,(
% 0.54/0.64 greater(e_4,e_3)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f14])).
% 0.54/0.64 fof(f60,plain,(
% 0.54/0.64 ![X0]: (~group_element(X0)|cycle(X0,e_0)|cycle(X0,e_1)|cycle(X0,e_2)|cycle(X0,e_3))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f16])).
% 0.54/0.64 fof(f61,plain,(
% 0.54/0.64 cycle(e_4,e_0)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f17])).
% 0.54/0.64 fof(f62,plain,(
% 0.54/0.64 ![Y,Z1]: ((![Z]: (((![X,W]: ((~cycle(X,Y)|~cycle(W,Z))|~next(X,W)))|~greater(Y,e_0))|~next(Z,Z1)))|equalish(Y,Z1))),
% 0.54/0.64 inference(miniscoping,[status(thm)],[f18])).
% 0.54/0.64 fof(f63,plain,(
% 0.54/0.64 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(X0,X2)|~greater(X1,e_0)|~next(X3,X4)|equalish(X1,X4))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f62])).
% 0.54/0.64 fof(f64,plain,(
% 0.54/0.64 ![Z1,Z2]: ((![X,Y]: ((![W]: (((~cycle(X,Z1)|~cycle(Y,e_0))|~cycle(W,Z2))|~next(Y,W)))|~greater(Y,X)))|~greater(Z1,Z2))),
% 0.54/0.64 inference(miniscoping,[status(thm)],[f19])).
% 0.54/0.64 fof(f65,plain,(
% 0.54/0.64 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,e_0)|~cycle(X3,X4)|~next(X2,X3)|~greater(X2,X0)|~greater(X1,X4))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f64])).
% 0.54/0.64 fof(f66,plain,(
% 0.54/0.64 ![X0,X1]: (~cycle(X0,e_0)|~product(X0,e_1,X1)|~greater(X1,X0))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f20])).
% 0.54/0.64 fof(f67,plain,(
% 0.54/0.64 ![Z,X1]: ((![X]: ((![Y]: ((~cycle(X,Y)|~product(X,e_1,Z))|~greater(Y,e_0)))|~next(X,X1)))|equalish(Z,X1))),
% 0.54/0.64 inference(miniscoping,[status(thm)],[f21])).
% 0.54/0.64 fof(f68,plain,(
% 0.54/0.64 ![X0,X1,X2,X3]: (~cycle(X0,X1)|~product(X0,e_1,X2)|~greater(X1,e_0)|~next(X0,X3)|equalish(X2,X3))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f67])).
% 0.54/0.64 fof(f69,plain,(
% 0.54/0.64 group_element(e_1)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f22])).
% 0.54/0.64 fof(f70,plain,(
% 0.54/0.64 group_element(e_2)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f23])).
% 0.54/0.64 fof(f71,plain,(
% 0.54/0.64 group_element(e_3)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f24])).
% 0.54/0.64 fof(f72,plain,(
% 0.54/0.64 group_element(e_4)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f25])).
% 0.54/0.64 fof(f73,plain,(
% 0.54/0.64 ~equalish(e_1,e_2)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f26])).
% 0.54/0.64 fof(f74,plain,(
% 0.54/0.64 ~equalish(e_1,e_3)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f27])).
% 0.54/0.64 fof(f75,plain,(
% 0.54/0.64 ~equalish(e_1,e_4)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f28])).
% 0.54/0.64 fof(f76,plain,(
% 0.54/0.64 ~equalish(e_2,e_1)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f29])).
% 0.54/0.64 fof(f77,plain,(
% 0.54/0.64 ~equalish(e_2,e_3)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f30])).
% 0.54/0.64 fof(f78,plain,(
% 0.54/0.64 ~equalish(e_2,e_4)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f31])).
% 0.54/0.64 fof(f79,plain,(
% 0.54/0.64 ~equalish(e_3,e_1)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f32])).
% 0.54/0.64 fof(f80,plain,(
% 0.54/0.64 ~equalish(e_3,e_2)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f33])).
% 0.54/0.64 fof(f81,plain,(
% 0.54/0.64 ~equalish(e_3,e_4)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f34])).
% 0.54/0.64 fof(f82,plain,(
% 0.54/0.64 ~equalish(e_4,e_1)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f35])).
% 0.54/0.64 fof(f83,plain,(
% 0.54/0.64 ~equalish(e_4,e_2)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f36])).
% 0.54/0.64 fof(f84,plain,(
% 0.54/0.64 ~equalish(e_4,e_3)),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f37])).
% 0.54/0.64 fof(f85,plain,(
% 0.54/0.64 ![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))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f38])).
% 0.54/0.64 fof(f86,plain,(
% 0.54/0.64 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.54/0.64 inference(miniscoping,[status(thm)],[f39])).
% 0.54/0.64 fof(f87,plain,(
% 0.54/0.64 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f86])).
% 0.54/0.64 fof(f88,plain,(
% 0.54/0.64 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.54/0.64 inference(miniscoping,[status(thm)],[f40])).
% 0.54/0.64 fof(f89,plain,(
% 0.54/0.64 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f88])).
% 0.54/0.64 fof(f90,plain,(
% 0.54/0.64 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.54/0.64 inference(miniscoping,[status(thm)],[f41])).
% 0.54/0.64 fof(f91,plain,(
% 0.54/0.64 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f90])).
% 0.54/0.64 fof(f92,plain,(
% 0.54/0.64 ![X0]: (product(X0,X0,X0))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f42])).
% 0.54/0.64 fof(f93,plain,(
% 0.54/0.64 ![Y,X,Z2]: ((![Z1]: (~product(Y,X,Z1)|~product(Z1,Y,Z2)))|product(Z2,Y,X))),
% 0.54/0.64 inference(miniscoping,[status(thm)],[f43])).
% 0.54/0.64 fof(f94,plain,(
% 0.54/0.64 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X2,X0,X3)|product(X3,X0,X1))),
% 0.54/0.64 inference(cnf_transformation,[status(thm)],[f93])).
% 0.54/0.64 fof(f97,plain,(
% 0.54/0.64 ![X0,X1]: (~product(X0,X0,X1)|equalish(X1,X0))),
% 0.54/0.64 inference(resolution,[status(thm)],[f87,f92])).
% 0.54/0.64 fof(f99,plain,(
% 0.54/0.64 ![X0,X1]: (~product(X0,X1,X0)|equalish(X1,X0))),
% 0.54/0.64 inference(resolution,[status(thm)],[f89,f92])).
% 0.54/0.64 fof(f100,plain,(
% 0.54/0.64 ![X0,X1]: (~product(X0,X1,X1)|equalish(X0,X1))),
% 0.54/0.64 inference(resolution,[status(thm)],[f91,f92])).
% 0.54/0.64 fof(f103,plain,(
% 0.54/0.64 cycle(e_3,e_0)|cycle(e_3,e_1)|cycle(e_3,e_2)|cycle(e_3,e_3)),
% 0.54/0.64 inference(resolution,[status(thm)],[f60,f71])).
% 0.54/0.64 fof(f104,plain,(
% 0.54/0.64 cycle(e_2,e_0)|cycle(e_2,e_1)|cycle(e_2,e_2)|cycle(e_2,e_3)),
% 0.54/0.64 inference(resolution,[status(thm)],[f60,f70])).
% 0.54/0.64 fof(f105,plain,(
% 0.54/0.64 cycle(e_1,e_0)|cycle(e_1,e_1)|cycle(e_1,e_2)|cycle(e_1,e_3)),
% 0.54/0.64 inference(resolution,[status(thm)],[f60,f69])).
% 0.54/0.64 fof(f106,definition,(
% 0.54/0.64 sQ0_spl <=> (cycle(e_4,e_0))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f108,plain,(
% 0.54/0.64 ~cycle(e_4,e_0)|sQ0_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f106])).
% 0.54/0.64 fof(f119,definition,(
% 0.54/0.64 sQ4_spl <=> (cycle(e_3,e_0))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f122,definition,(
% 0.54/0.64 sQ5_spl <=> (cycle(e_3,e_1))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f123,plain,(
% 0.54/0.64 cycle(e_3,e_1)|~sQ5_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f122])).
% 0.54/0.64 fof(f125,definition,(
% 0.54/0.64 sQ6_spl <=> (cycle(e_3,e_2))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f126,plain,(
% 0.54/0.64 cycle(e_3,e_2)|~sQ6_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f125])).
% 0.54/0.64 fof(f128,definition,(
% 0.54/0.64 sQ7_spl <=> (cycle(e_3,e_3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f129,plain,(
% 0.54/0.64 cycle(e_3,e_3)|~sQ7_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f128])).
% 0.54/0.64 fof(f131,plain,(
% 0.54/0.64 sQ4_spl|sQ5_spl|sQ6_spl|sQ7_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f103,f119,f122,f125,f128])).
% 0.54/0.64 fof(f132,definition,(
% 0.54/0.64 sQ8_spl <=> (cycle(e_2,e_0))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f135,definition,(
% 0.54/0.64 sQ9_spl <=> (cycle(e_2,e_1))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f136,plain,(
% 0.54/0.64 cycle(e_2,e_1)|~sQ9_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f135])).
% 0.54/0.64 fof(f138,definition,(
% 0.54/0.64 sQ10_spl <=> (cycle(e_2,e_2))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f139,plain,(
% 0.54/0.64 cycle(e_2,e_2)|~sQ10_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f138])).
% 0.54/0.64 fof(f141,definition,(
% 0.54/0.64 sQ11_spl <=> (cycle(e_2,e_3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f142,plain,(
% 0.54/0.64 cycle(e_2,e_3)|~sQ11_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f141])).
% 0.54/0.64 fof(f144,plain,(
% 0.54/0.64 sQ8_spl|sQ9_spl|sQ10_spl|sQ11_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f104,f132,f135,f138,f141])).
% 0.54/0.64 fof(f145,definition,(
% 0.54/0.64 sQ12_spl <=> (cycle(e_1,e_0))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f146,plain,(
% 0.54/0.64 cycle(e_1,e_0)|~sQ12_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f145])).
% 0.54/0.64 fof(f148,definition,(
% 0.54/0.64 sQ13_spl <=> (cycle(e_1,e_1))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f149,plain,(
% 0.54/0.64 cycle(e_1,e_1)|~sQ13_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f148])).
% 0.54/0.64 fof(f151,definition,(
% 0.54/0.64 sQ14_spl <=> (cycle(e_1,e_2))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f152,plain,(
% 0.54/0.64 cycle(e_1,e_2)|~sQ14_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f151])).
% 0.54/0.64 fof(f154,definition,(
% 0.54/0.64 sQ15_spl <=> (cycle(e_1,e_3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f155,plain,(
% 0.54/0.64 cycle(e_1,e_3)|~sQ15_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f154])).
% 0.54/0.64 fof(f157,plain,(
% 0.54/0.64 sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f105,f145,f148,f151,f154])).
% 0.54/0.64 fof(f158,plain,(
% 0.54/0.64 ![X0]: (~group_element(X0)|product(e_4,X0,e_1)|product(e_4,X0,e_2)|product(e_4,X0,e_3)|product(e_4,X0,e_4))),
% 0.54/0.64 inference(resolution,[status(thm)],[f85,f72])).
% 0.54/0.64 fof(f159,plain,(
% 0.54/0.64 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3)|product(e_3,X0,e_4))),
% 0.54/0.64 inference(resolution,[status(thm)],[f85,f71])).
% 0.54/0.64 fof(f160,plain,(
% 0.54/0.64 ![X0]: (~group_element(X0)|product(e_2,X0,e_1)|product(e_2,X0,e_2)|product(e_2,X0,e_3)|product(e_2,X0,e_4))),
% 0.54/0.64 inference(resolution,[status(thm)],[f85,f70])).
% 0.54/0.64 fof(f163,plain,(
% 0.54/0.64 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)),
% 0.54/0.64 inference(resolution,[status(thm)],[f158,f71])).
% 0.54/0.64 fof(f164,plain,(
% 0.54/0.64 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)),
% 0.54/0.64 inference(resolution,[status(thm)],[f158,f70])).
% 0.54/0.64 fof(f165,plain,(
% 0.54/0.64 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)),
% 0.54/0.64 inference(resolution,[status(thm)],[f158,f69])).
% 0.54/0.64 fof(f179,definition,(
% 0.54/0.64 sQ20_spl <=> (product(e_4,e_3,e_1))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f180,plain,(
% 0.54/0.64 product(e_4,e_3,e_1)|~sQ20_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f179])).
% 0.54/0.64 fof(f182,definition,(
% 0.54/0.64 sQ21_spl <=> (product(e_4,e_3,e_2))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f183,plain,(
% 0.54/0.64 product(e_4,e_3,e_2)|~sQ21_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f182])).
% 0.54/0.64 fof(f185,definition,(
% 0.54/0.64 sQ22_spl <=> (product(e_4,e_3,e_3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f186,plain,(
% 0.54/0.64 product(e_4,e_3,e_3)|~sQ22_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f185])).
% 0.54/0.64 fof(f188,definition,(
% 0.54/0.64 sQ23_spl <=> (product(e_4,e_3,e_4))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f189,plain,(
% 0.54/0.64 product(e_4,e_3,e_4)|~sQ23_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f188])).
% 0.54/0.64 fof(f191,plain,(
% 0.54/0.64 sQ20_spl|sQ21_spl|sQ22_spl|sQ23_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f163,f179,f182,f185,f188])).
% 0.54/0.64 fof(f192,definition,(
% 0.54/0.64 sQ24_spl <=> (product(e_4,e_2,e_1))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f193,plain,(
% 0.54/0.64 product(e_4,e_2,e_1)|~sQ24_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f192])).
% 0.54/0.64 fof(f195,definition,(
% 0.54/0.64 sQ25_spl <=> (product(e_4,e_2,e_2))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f196,plain,(
% 0.54/0.64 product(e_4,e_2,e_2)|~sQ25_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f195])).
% 0.54/0.64 fof(f198,definition,(
% 0.54/0.64 sQ26_spl <=> (product(e_4,e_2,e_3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f199,plain,(
% 0.54/0.64 product(e_4,e_2,e_3)|~sQ26_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f198])).
% 0.54/0.64 fof(f201,definition,(
% 0.54/0.64 sQ27_spl <=> (product(e_4,e_2,e_4))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f202,plain,(
% 0.54/0.64 product(e_4,e_2,e_4)|~sQ27_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f201])).
% 0.54/0.64 fof(f204,plain,(
% 0.54/0.64 sQ24_spl|sQ25_spl|sQ26_spl|sQ27_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f164,f192,f195,f198,f201])).
% 0.54/0.64 fof(f205,definition,(
% 0.54/0.64 sQ28_spl <=> (product(e_4,e_1,e_1))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f206,plain,(
% 0.54/0.64 product(e_4,e_1,e_1)|~sQ28_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f205])).
% 0.54/0.64 fof(f208,definition,(
% 0.54/0.64 sQ29_spl <=> (product(e_4,e_1,e_2))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f209,plain,(
% 0.54/0.64 product(e_4,e_1,e_2)|~sQ29_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f208])).
% 0.54/0.64 fof(f211,definition,(
% 0.54/0.64 sQ30_spl <=> (product(e_4,e_1,e_3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f212,plain,(
% 0.54/0.64 product(e_4,e_1,e_3)|~sQ30_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f211])).
% 0.54/0.64 fof(f214,definition,(
% 0.54/0.64 sQ31_spl <=> (product(e_4,e_1,e_4))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f215,plain,(
% 0.54/0.64 product(e_4,e_1,e_4)|~sQ31_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f214])).
% 0.54/0.64 fof(f217,plain,(
% 0.54/0.64 sQ28_spl|sQ29_spl|sQ30_spl|sQ31_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f165,f205,f208,f211,f214])).
% 0.54/0.64 fof(f218,plain,(
% 0.54/0.64 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)),
% 0.54/0.64 inference(resolution,[status(thm)],[f159,f72])).
% 0.54/0.64 fof(f220,plain,(
% 0.54/0.64 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)),
% 0.54/0.64 inference(resolution,[status(thm)],[f159,f70])).
% 0.54/0.64 fof(f221,plain,(
% 0.54/0.64 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)),
% 0.54/0.64 inference(resolution,[status(thm)],[f159,f69])).
% 0.54/0.64 fof(f222,definition,(
% 0.54/0.64 sQ32_spl <=> (product(e_3,e_4,e_1))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f223,plain,(
% 0.54/0.64 product(e_3,e_4,e_1)|~sQ32_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f222])).
% 0.54/0.64 fof(f225,definition,(
% 0.54/0.64 sQ33_spl <=> (product(e_3,e_4,e_2))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f226,plain,(
% 0.54/0.64 product(e_3,e_4,e_2)|~sQ33_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f225])).
% 0.54/0.64 fof(f228,definition,(
% 0.54/0.64 sQ34_spl <=> (product(e_3,e_4,e_3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f229,plain,(
% 0.54/0.64 product(e_3,e_4,e_3)|~sQ34_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f228])).
% 0.54/0.64 fof(f231,definition,(
% 0.54/0.64 sQ35_spl <=> (product(e_3,e_4,e_4))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f232,plain,(
% 0.54/0.64 product(e_3,e_4,e_4)|~sQ35_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f231])).
% 0.54/0.64 fof(f234,plain,(
% 0.54/0.64 sQ32_spl|sQ33_spl|sQ34_spl|sQ35_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f218,f222,f225,f228,f231])).
% 0.54/0.64 fof(f244,definition,(
% 0.54/0.64 sQ39_spl <=> (product(e_3,e_3,e_4))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f245,plain,(
% 0.54/0.64 product(e_3,e_3,e_4)|~sQ39_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f244])).
% 0.54/0.64 fof(f248,definition,(
% 0.54/0.64 sQ40_spl <=> (product(e_3,e_2,e_1))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f249,plain,(
% 0.54/0.64 product(e_3,e_2,e_1)|~sQ40_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f248])).
% 0.54/0.64 fof(f251,definition,(
% 0.54/0.64 sQ41_spl <=> (product(e_3,e_2,e_2))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f252,plain,(
% 0.54/0.64 product(e_3,e_2,e_2)|~sQ41_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f251])).
% 0.54/0.64 fof(f254,definition,(
% 0.54/0.64 sQ42_spl <=> (product(e_3,e_2,e_3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f255,plain,(
% 0.54/0.64 product(e_3,e_2,e_3)|~sQ42_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f254])).
% 0.54/0.64 fof(f257,definition,(
% 0.54/0.64 sQ43_spl <=> (product(e_3,e_2,e_4))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f258,plain,(
% 0.54/0.64 product(e_3,e_2,e_4)|~sQ43_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f257])).
% 0.54/0.64 fof(f260,plain,(
% 0.54/0.64 sQ40_spl|sQ41_spl|sQ42_spl|sQ43_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f220,f248,f251,f254,f257])).
% 0.54/0.64 fof(f261,definition,(
% 0.54/0.64 sQ44_spl <=> (product(e_3,e_1,e_1))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f262,plain,(
% 0.54/0.64 product(e_3,e_1,e_1)|~sQ44_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f261])).
% 0.54/0.64 fof(f264,definition,(
% 0.54/0.64 sQ45_spl <=> (product(e_3,e_1,e_2))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f265,plain,(
% 0.54/0.64 product(e_3,e_1,e_2)|~sQ45_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f264])).
% 0.54/0.64 fof(f267,definition,(
% 0.54/0.64 sQ46_spl <=> (product(e_3,e_1,e_3))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f268,plain,(
% 0.54/0.64 product(e_3,e_1,e_3)|~sQ46_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f267])).
% 0.54/0.64 fof(f270,definition,(
% 0.54/0.64 sQ47_spl <=> (product(e_3,e_1,e_4))),
% 0.54/0.64 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.54/0.64 fof(f271,plain,(
% 0.54/0.64 product(e_3,e_1,e_4)|~sQ47_spl),
% 0.54/0.64 inference(component_clause,[status(thm)],[f270])).
% 0.54/0.64 fof(f273,plain,(
% 0.54/0.64 sQ44_spl|sQ45_spl|sQ46_spl|sQ47_spl),
% 0.54/0.64 inference(split_clause,[status(thm)],[f221,f261,f264,f267,f270])).
% 0.54/0.65 fof(f274,plain,(
% 0.54/0.65 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)),
% 0.54/0.65 inference(resolution,[status(thm)],[f160,f72])).
% 0.54/0.65 fof(f275,plain,(
% 0.54/0.65 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)),
% 0.54/0.65 inference(resolution,[status(thm)],[f160,f71])).
% 0.54/0.65 fof(f277,plain,(
% 0.54/0.65 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)),
% 0.54/0.65 inference(resolution,[status(thm)],[f160,f69])).
% 0.54/0.65 fof(f278,definition,(
% 0.54/0.65 sQ48_spl <=> (product(e_2,e_4,e_1))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f279,plain,(
% 0.54/0.65 product(e_2,e_4,e_1)|~sQ48_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f278])).
% 0.54/0.65 fof(f281,definition,(
% 0.54/0.65 sQ49_spl <=> (product(e_2,e_4,e_2))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f282,plain,(
% 0.54/0.65 product(e_2,e_4,e_2)|~sQ49_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f281])).
% 0.54/0.65 fof(f284,definition,(
% 0.54/0.65 sQ50_spl <=> (product(e_2,e_4,e_3))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f285,plain,(
% 0.54/0.65 product(e_2,e_4,e_3)|~sQ50_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f284])).
% 0.54/0.65 fof(f287,definition,(
% 0.54/0.65 sQ51_spl <=> (product(e_2,e_4,e_4))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f288,plain,(
% 0.54/0.65 product(e_2,e_4,e_4)|~sQ51_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f287])).
% 0.54/0.65 fof(f290,plain,(
% 0.54/0.65 sQ48_spl|sQ49_spl|sQ50_spl|sQ51_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f274,f278,f281,f284,f287])).
% 0.54/0.65 fof(f291,definition,(
% 0.54/0.65 sQ52_spl <=> (product(e_2,e_3,e_1))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f292,plain,(
% 0.54/0.65 product(e_2,e_3,e_1)|~sQ52_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f291])).
% 0.54/0.65 fof(f294,definition,(
% 0.54/0.65 sQ53_spl <=> (product(e_2,e_3,e_2))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f295,plain,(
% 0.54/0.65 product(e_2,e_3,e_2)|~sQ53_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f294])).
% 0.54/0.65 fof(f297,definition,(
% 0.54/0.65 sQ54_spl <=> (product(e_2,e_3,e_3))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f298,plain,(
% 0.54/0.65 product(e_2,e_3,e_3)|~sQ54_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f297])).
% 0.54/0.65 fof(f300,definition,(
% 0.54/0.65 sQ55_spl <=> (product(e_2,e_3,e_4))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f301,plain,(
% 0.54/0.65 product(e_2,e_3,e_4)|~sQ55_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f300])).
% 0.54/0.65 fof(f303,plain,(
% 0.54/0.65 sQ52_spl|sQ53_spl|sQ54_spl|sQ55_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f275,f291,f294,f297,f300])).
% 0.54/0.65 fof(f313,definition,(
% 0.54/0.65 sQ59_spl <=> (product(e_2,e_2,e_4))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f314,plain,(
% 0.54/0.65 product(e_2,e_2,e_4)|~sQ59_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f313])).
% 0.54/0.65 fof(f317,definition,(
% 0.54/0.65 sQ60_spl <=> (product(e_2,e_1,e_1))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f318,plain,(
% 0.54/0.65 product(e_2,e_1,e_1)|~sQ60_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f317])).
% 0.54/0.65 fof(f320,definition,(
% 0.54/0.65 sQ61_spl <=> (product(e_2,e_1,e_2))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f321,plain,(
% 0.54/0.65 product(e_2,e_1,e_2)|~sQ61_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f320])).
% 0.54/0.65 fof(f323,definition,(
% 0.54/0.65 sQ62_spl <=> (product(e_2,e_1,e_3))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f324,plain,(
% 0.54/0.65 product(e_2,e_1,e_3)|~sQ62_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f323])).
% 0.54/0.65 fof(f326,definition,(
% 0.54/0.65 sQ63_spl <=> (product(e_2,e_1,e_4))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f327,plain,(
% 0.54/0.65 product(e_2,e_1,e_4)|~sQ63_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f326])).
% 0.54/0.65 fof(f329,plain,(
% 0.54/0.65 sQ60_spl|sQ61_spl|sQ62_spl|sQ63_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f277,f317,f320,f323,f326])).
% 0.54/0.65 fof(f388,plain,(
% 0.54/0.65 ![X0,X1,X2]: (~cycle(X0,X1)|~next(X0,e_4)|~greater(X1,e_0)|~next(e_0,X2)|equalish(X1,X2))),
% 0.54/0.65 inference(resolution,[status(thm)],[f63,f61])).
% 0.54/0.65 fof(f389,plain,(
% 0.54/0.65 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_4)|~greater(e_4,X0)|~greater(X1,e_0))),
% 0.54/0.65 inference(resolution,[status(thm)],[f65,f61])).
% 0.54/0.65 fof(f390,plain,(
% 0.54/0.65 ![X0,X1,X2,X3]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(e_4,X2)|~greater(e_4,X0)|~greater(X1,X3))),
% 0.54/0.65 inference(resolution,[status(thm)],[f65,f61])).
% 0.54/0.65 fof(f391,plain,(
% 0.54/0.65 ![X0,X1,X2]: (~cycle(X0,X1)|~cycle(X2,e_0)|~next(X2,e_4)|~greater(X2,X0)|~greater(X1,e_0))),
% 0.54/0.65 inference(resolution,[status(thm)],[f65,f61])).
% 0.54/0.65 fof(f392,definition,(
% 0.54/0.65 ![X0,X1]: (sQ80_spl <=> (~cycle(X0,X1)|~greater(e_4,X0)|~greater(X1,e_0)))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f393,plain,(
% 0.54/0.65 ![X0,X1]: (~cycle(X0,X1)|~greater(e_4,X0)|~greater(X1,e_0)|~sQ80_spl)),
% 0.54/0.65 inference(component_clause,[status(thm)],[f392])).
% 0.54/0.65 fof(f395,definition,(
% 0.54/0.65 sQ81_spl <=> (next(e_4,e_4))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f398,plain,(
% 0.54/0.65 sQ80_spl|~sQ81_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f389,f392,f395])).
% 0.54/0.65 fof(f399,plain,(
% 0.54/0.65 ~cycle(e_1,e_0)|~greater(e_1,e_1)),
% 0.54/0.65 inference(resolution,[status(thm)],[f66,f92])).
% 0.54/0.65 fof(f400,definition,(
% 0.54/0.65 sQ82_spl <=> (greater(e_1,e_1))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f403,plain,(
% 0.54/0.65 ~sQ12_spl|~sQ82_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f399,f145,f400])).
% 0.54/0.65 fof(f404,plain,(
% 0.54/0.65 ![X0,X1]: (~cycle(e_1,X0)|~greater(X0,e_0)|~next(e_1,X1)|equalish(e_1,X1))),
% 0.54/0.65 inference(resolution,[status(thm)],[f68,f92])).
% 0.54/0.65 fof(f405,definition,(
% 0.54/0.65 ![X0]: (sQ83_spl <=> (~cycle(e_1,X0)|~greater(X0,e_0)))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f406,plain,(
% 0.54/0.65 ![X0]: (~cycle(e_1,X0)|~greater(X0,e_0)|~sQ83_spl)),
% 0.54/0.65 inference(component_clause,[status(thm)],[f405])).
% 0.54/0.65 fof(f408,definition,(
% 0.54/0.65 ![X1]: (sQ84_spl <=> (~next(e_1,X1)|equalish(e_1,X1)))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f409,plain,(
% 0.54/0.65 ![X0]: (~next(e_1,X0)|equalish(e_1,X0)|~sQ84_spl)),
% 0.54/0.65 inference(component_clause,[status(thm)],[f408])).
% 0.54/0.65 fof(f411,plain,(
% 0.54/0.65 sQ83_spl|sQ84_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f404,f405,f408])).
% 0.54/0.65 fof(f412,plain,(
% 0.54/0.65 equalish(e_1,e_2)|~sQ84_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f409,f45])).
% 0.54/0.65 fof(f413,plain,(
% 0.54/0.65 $false|~sQ84_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f412,f73])).
% 0.54/0.65 fof(f414,plain,(
% 0.54/0.65 ~sQ84_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f413])).
% 0.54/0.65 fof(f415,plain,(
% 0.54/0.65 ~greater(e_3,e_0)|~sQ15_spl|~sQ83_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f155,f406])).
% 0.54/0.65 fof(f419,plain,(
% 0.54/0.65 $false|~sQ15_spl|~sQ83_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f415,f50])).
% 0.54/0.65 fof(f420,plain,(
% 0.54/0.65 ~sQ15_spl|~sQ83_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f419])).
% 0.54/0.65 fof(f421,plain,(
% 0.54/0.65 ~greater(e_2,e_0)|~sQ14_spl|~sQ83_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f152,f406])).
% 0.54/0.65 fof(f425,plain,(
% 0.54/0.65 $false|~sQ14_spl|~sQ83_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f421,f49])).
% 0.54/0.65 fof(f426,plain,(
% 0.54/0.65 ~sQ14_spl|~sQ83_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f425])).
% 0.54/0.65 fof(f427,plain,(
% 0.54/0.65 ~greater(e_1,e_0)|~sQ13_spl|~sQ83_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f149,f406])).
% 0.54/0.65 fof(f431,plain,(
% 0.54/0.65 $false|~sQ13_spl|~sQ83_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f427,f48])).
% 0.54/0.65 fof(f432,plain,(
% 0.54/0.65 ~sQ13_spl|~sQ83_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f431])).
% 0.54/0.65 fof(f483,plain,(
% 0.54/0.65 ![X0,X1]: (~cycle(X0,X1)|~next(e_1,e_1)|~greater(e_1,X0)|~greater(X1,e_0)|~sQ12_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f146,f65])).
% 0.54/0.65 fof(f489,definition,(
% 0.54/0.65 ![X0,X1]: (sQ89_spl <=> (~cycle(X0,X1)|~greater(e_1,X0)|~greater(X1,e_0)))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f492,definition,(
% 0.54/0.65 sQ90_spl <=> (next(e_1,e_1))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f495,plain,(
% 0.54/0.65 sQ89_spl|~sQ90_spl|~sQ12_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f483,f489,f492,f145])).
% 0.54/0.65 fof(f499,plain,(
% 0.54/0.65 equalish(e_1,e_4)|~sQ31_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f215,f99])).
% 0.54/0.65 fof(f516,plain,(
% 0.54/0.65 $false|~sQ31_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f499,f75])).
% 0.54/0.65 fof(f517,plain,(
% 0.54/0.65 ~sQ31_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f516])).
% 0.54/0.65 fof(f521,plain,(
% 0.54/0.65 ![X0]: (~next(e_3,e_4)|~greater(e_1,e_0)|~next(e_0,X0)|equalish(e_1,X0)|~sQ5_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f388,f123])).
% 0.54/0.65 fof(f522,plain,(
% 0.54/0.65 ![X0]: (~next(e_3,e_4)|~greater(e_2,e_0)|~next(e_0,X0)|equalish(e_2,X0)|~sQ6_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f388,f126])).
% 0.54/0.65 fof(f523,plain,(
% 0.54/0.65 ![X0]: (~next(e_3,e_4)|~greater(e_3,e_0)|~next(e_0,X0)|equalish(e_3,X0)|~sQ7_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f388,f129])).
% 0.54/0.65 fof(f524,plain,(
% 0.54/0.65 ![X0]: (~next(e_2,e_4)|~greater(e_1,e_0)|~next(e_0,X0)|equalish(e_1,X0)|~sQ9_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f388,f136])).
% 0.54/0.65 fof(f525,plain,(
% 0.54/0.65 ![X0]: (~next(e_2,e_4)|~greater(e_2,e_0)|~next(e_0,X0)|equalish(e_2,X0)|~sQ10_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f388,f139])).
% 0.54/0.65 fof(f526,plain,(
% 0.54/0.65 ![X0]: (~next(e_2,e_4)|~greater(e_3,e_0)|~next(e_0,X0)|equalish(e_3,X0)|~sQ11_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f388,f142])).
% 0.54/0.65 fof(f529,definition,(
% 0.54/0.65 sQ94_spl <=> (next(e_1,e_4))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f539,definition,(
% 0.54/0.65 sQ97_spl <=> (next(e_3,e_4))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f541,plain,(
% 0.54/0.65 ~next(e_3,e_4)|sQ97_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f539])).
% 0.54/0.65 fof(f542,definition,(
% 0.54/0.65 sQ98_spl <=> (greater(e_1,e_0))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f544,plain,(
% 0.54/0.65 ~greater(e_1,e_0)|sQ98_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f542])).
% 0.54/0.65 fof(f545,definition,(
% 0.54/0.65 ![X0]: (sQ99_spl <=> (~next(e_0,X0)|equalish(e_1,X0)))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f548,plain,(
% 0.54/0.65 ~sQ97_spl|~sQ98_spl|sQ99_spl|~sQ5_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f521,f539,f542,f545,f122])).
% 0.54/0.65 fof(f549,definition,(
% 0.54/0.65 sQ100_spl <=> (greater(e_2,e_0))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f551,plain,(
% 0.54/0.65 ~greater(e_2,e_0)|sQ100_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f549])).
% 0.54/0.65 fof(f552,definition,(
% 0.54/0.65 ![X0]: (sQ101_spl <=> (~next(e_0,X0)|equalish(e_2,X0)))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f555,plain,(
% 0.54/0.65 ~sQ97_spl|~sQ100_spl|sQ101_spl|~sQ6_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f522,f539,f549,f552,f125])).
% 0.54/0.65 fof(f556,definition,(
% 0.54/0.65 sQ102_spl <=> (greater(e_3,e_0))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f558,plain,(
% 0.54/0.65 ~greater(e_3,e_0)|sQ102_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f556])).
% 0.54/0.65 fof(f559,definition,(
% 0.54/0.65 ![X0]: (sQ103_spl <=> (~next(e_0,X0)|equalish(e_3,X0)))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f562,plain,(
% 0.54/0.65 ~sQ97_spl|~sQ102_spl|sQ103_spl|~sQ7_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f523,f539,f556,f559,f128])).
% 0.54/0.65 fof(f563,definition,(
% 0.54/0.65 sQ104_spl <=> (next(e_2,e_4))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f566,plain,(
% 0.54/0.65 ~sQ104_spl|~sQ98_spl|sQ99_spl|~sQ9_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f524,f563,f542,f545,f135])).
% 0.54/0.65 fof(f567,plain,(
% 0.54/0.65 ~sQ104_spl|~sQ100_spl|sQ101_spl|~sQ10_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f525,f563,f549,f552,f138])).
% 0.54/0.65 fof(f568,plain,(
% 0.54/0.65 ~sQ104_spl|~sQ102_spl|sQ103_spl|~sQ11_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f526,f563,f556,f559,f141])).
% 0.54/0.65 fof(f571,plain,(
% 0.54/0.65 $false|sQ102_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f558,f50])).
% 0.54/0.65 fof(f572,plain,(
% 0.54/0.65 sQ102_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f571])).
% 0.54/0.65 fof(f573,plain,(
% 0.54/0.65 $false|sQ97_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f541,f47])).
% 0.54/0.65 fof(f574,plain,(
% 0.54/0.65 sQ97_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f573])).
% 0.54/0.65 fof(f575,plain,(
% 0.54/0.65 $false|sQ100_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f551,f49])).
% 0.54/0.65 fof(f576,plain,(
% 0.54/0.65 sQ100_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f575])).
% 0.54/0.65 fof(f577,plain,(
% 0.54/0.65 $false|sQ98_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f544,f48])).
% 0.54/0.65 fof(f578,plain,(
% 0.54/0.65 sQ98_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f577])).
% 0.54/0.65 fof(f579,plain,(
% 0.54/0.65 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_1)|~greater(e_4,X0)|~greater(X1,e_0)|~sQ12_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f390,f146])).
% 0.54/0.65 fof(f580,plain,(
% 0.54/0.65 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_3)|~greater(e_4,X0)|~greater(X1,e_3)|~sQ7_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f390,f129])).
% 0.54/0.65 fof(f581,plain,(
% 0.54/0.65 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_2)|~greater(e_4,X0)|~greater(X1,e_1)|~sQ9_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f390,f136])).
% 0.54/0.65 fof(f582,plain,(
% 0.54/0.65 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_2)|~greater(e_4,X0)|~greater(X1,e_2)|~sQ10_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f390,f139])).
% 0.54/0.65 fof(f583,plain,(
% 0.54/0.65 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_2)|~greater(e_4,X0)|~greater(X1,e_3)|~sQ11_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f390,f142])).
% 0.54/0.65 fof(f586,definition,(
% 0.54/0.65 sQ105_spl <=> (next(e_4,e_1))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f589,plain,(
% 0.54/0.65 sQ80_spl|~sQ105_spl|~sQ12_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f579,f392,f586,f145])).
% 0.54/0.65 fof(f590,definition,(
% 0.54/0.65 ![X0,X1]: (sQ106_spl <=> (~cycle(X0,X1)|~greater(e_4,X0)|~greater(X1,e_3)))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f593,definition,(
% 0.54/0.65 sQ107_spl <=> (next(e_4,e_3))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f596,plain,(
% 0.54/0.65 sQ106_spl|~sQ107_spl|~sQ7_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f580,f590,f593,f128])).
% 0.54/0.65 fof(f597,definition,(
% 0.54/0.65 ![X0,X1]: (sQ108_spl <=> (~cycle(X0,X1)|~greater(e_4,X0)|~greater(X1,e_1)))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f600,definition,(
% 0.54/0.65 sQ109_spl <=> (next(e_4,e_2))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f603,plain,(
% 0.54/0.65 sQ108_spl|~sQ109_spl|~sQ9_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f581,f597,f600,f135])).
% 0.54/0.65 fof(f604,definition,(
% 0.54/0.65 ![X0,X1]: (sQ110_spl <=> (~cycle(X0,X1)|~greater(e_4,X0)|~greater(X1,e_2)))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f607,plain,(
% 0.54/0.65 sQ110_spl|~sQ109_spl|~sQ10_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f582,f604,f600,f138])).
% 0.54/0.65 fof(f608,plain,(
% 0.54/0.65 sQ106_spl|~sQ109_spl|~sQ11_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f583,f590,f600,f141])).
% 0.54/0.65 fof(f611,plain,(
% 0.54/0.65 ![X0,X1]: (~cycle(X0,X1)|~next(e_1,e_4)|~greater(e_1,X0)|~greater(X1,e_0)|~sQ12_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f391,f146])).
% 0.54/0.65 fof(f613,plain,(
% 0.54/0.65 sQ89_spl|~sQ94_spl|~sQ12_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f611,f489,f529,f145])).
% 0.54/0.65 fof(f616,plain,(
% 0.54/0.65 ~greater(e_4,e_2)|~greater(e_1,e_0)|~sQ80_spl|~sQ9_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f393,f136])).
% 0.54/0.65 fof(f618,definition,(
% 0.54/0.65 sQ111_spl <=> (greater(e_4,e_1))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f620,plain,(
% 0.54/0.65 ~greater(e_4,e_1)|sQ111_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f618])).
% 0.54/0.65 fof(f622,definition,(
% 0.54/0.65 sQ112_spl <=> (greater(e_4,e_2))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f624,plain,(
% 0.54/0.65 ~greater(e_4,e_2)|sQ112_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f622])).
% 0.54/0.65 fof(f625,plain,(
% 0.54/0.65 ~sQ112_spl|~sQ98_spl|~sQ80_spl|~sQ9_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f616,f622,f542,f392,f135])).
% 0.54/0.65 fof(f627,plain,(
% 0.54/0.65 $false|sQ112_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f624,f56])).
% 0.54/0.65 fof(f628,plain,(
% 0.54/0.65 sQ112_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f627])).
% 0.54/0.65 fof(f629,plain,(
% 0.54/0.65 $false|sQ111_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f620,f54])).
% 0.54/0.65 fof(f630,plain,(
% 0.54/0.65 sQ111_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f629])).
% 0.54/0.65 fof(f657,definition,(
% 0.54/0.65 sQ113_spl <=> (greater(e_4,e_3))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f659,plain,(
% 0.54/0.65 ~greater(e_4,e_3)|sQ113_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f657])).
% 0.54/0.65 fof(f663,plain,(
% 0.54/0.65 $false|sQ113_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f659,f57])).
% 0.54/0.65 fof(f664,plain,(
% 0.54/0.65 sQ113_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f663])).
% 0.54/0.65 fof(f665,plain,(
% 0.54/0.65 ~greater(e_4,e_2)|~greater(e_2,e_0)|~sQ10_spl|~sQ80_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f139,f393])).
% 0.54/0.65 fof(f671,plain,(
% 0.54/0.65 ~sQ112_spl|~sQ100_spl|~sQ10_spl|~sQ80_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f665,f622,f549,f138,f392])).
% 0.54/0.65 fof(f700,plain,(
% 0.54/0.65 ~greater(e_4,e_2)|~greater(e_3,e_0)|~sQ11_spl|~sQ80_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f142,f393])).
% 0.54/0.65 fof(f706,plain,(
% 0.54/0.65 ~sQ112_spl|~sQ102_spl|~sQ11_spl|~sQ80_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f700,f622,f556,f141,f392])).
% 0.54/0.65 fof(f762,plain,(
% 0.54/0.65 ![X0]: (~product(X0,e_1,e_3)|equalish(X0,e_4)|~sQ30_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f212,f91])).
% 0.54/0.65 fof(f765,plain,(
% 0.54/0.65 ![X0]: (~product(e_1,X0,e_4)|product(e_3,e_1,X0)|~sQ30_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f212,f94])).
% 0.54/0.65 fof(f776,plain,(
% 0.54/0.65 ![X0]: (~product(X0,e_1,e_2)|equalish(X0,e_4)|~sQ29_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f209,f91])).
% 0.54/0.65 fof(f777,plain,(
% 0.54/0.65 ![X0]: (~product(e_4,X0,e_2)|equalish(X0,e_1)|~sQ29_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f209,f89])).
% 0.54/0.65 fof(f788,plain,(
% 0.54/0.65 $false|sQ0_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f108,f61])).
% 0.54/0.65 fof(f789,plain,(
% 0.54/0.65 sQ0_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f788])).
% 0.54/0.65 fof(f792,plain,(
% 0.54/0.65 equalish(e_4,e_1)|~sQ28_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f206,f100])).
% 0.54/0.65 fof(f805,plain,(
% 0.54/0.65 $false|~sQ28_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f792,f82])).
% 0.54/0.65 fof(f806,plain,(
% 0.54/0.65 ~sQ28_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f805])).
% 0.54/0.65 fof(f807,plain,(
% 0.54/0.65 equalish(e_2,e_4)|~sQ27_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f202,f99])).
% 0.54/0.65 fof(f813,plain,(
% 0.54/0.65 $false|~sQ27_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f807,f78])).
% 0.54/0.65 fof(f814,plain,(
% 0.54/0.65 ~sQ27_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f813])).
% 0.54/0.65 fof(f818,plain,(
% 0.54/0.65 ![X0]: (~product(e_2,X0,e_4)|product(e_3,e_2,X0)|~sQ26_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f199,f94])).
% 0.54/0.65 fof(f824,plain,(
% 0.54/0.65 equalish(e_4,e_2)|~sQ25_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f196,f100])).
% 0.54/0.65 fof(f832,plain,(
% 0.54/0.65 ![X0]: (~product(e_4,X0,e_1)|equalish(X0,e_2)|~sQ24_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f193,f89])).
% 0.54/0.65 fof(f838,plain,(
% 0.54/0.65 equalish(e_3,e_4)|~sQ23_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f189,f99])).
% 0.54/0.65 fof(f844,plain,(
% 0.54/0.65 $false|~sQ23_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f838,f81])).
% 0.54/0.65 fof(f845,plain,(
% 0.54/0.65 ~sQ23_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f844])).
% 0.54/0.65 fof(f846,plain,(
% 0.54/0.65 equalish(e_4,e_3)|~sQ22_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f186,f100])).
% 0.54/0.65 fof(f851,plain,(
% 0.54/0.65 $false|~sQ22_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f846,f84])).
% 0.54/0.65 fof(f852,plain,(
% 0.54/0.65 ~sQ22_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f851])).
% 0.54/0.65 fof(f853,plain,(
% 0.54/0.65 equalish(e_3,e_1)|~sQ21_spl|~sQ29_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f183,f777])).
% 0.54/0.65 fof(f854,plain,(
% 0.54/0.65 ![X0]: (~product(X0,e_3,e_2)|equalish(X0,e_4)|~sQ21_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f183,f91])).
% 0.54/0.65 fof(f857,plain,(
% 0.54/0.65 ![X0]: (~product(e_3,X0,e_4)|product(e_2,e_3,X0)|~sQ21_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f183,f94])).
% 0.54/0.65 fof(f858,plain,(
% 0.54/0.65 $false|~sQ21_spl|~sQ29_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f853,f79])).
% 0.54/0.65 fof(f859,plain,(
% 0.54/0.65 ~sQ21_spl|~sQ29_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f858])).
% 0.54/0.65 fof(f860,plain,(
% 0.54/0.65 equalish(e_3,e_2)|~sQ20_spl|~sQ24_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f180,f832])).
% 0.54/0.65 fof(f864,plain,(
% 0.54/0.65 ![X0]: (~product(e_3,X0,e_4)|product(e_1,e_3,X0)|~sQ20_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f180,f94])).
% 0.54/0.65 fof(f865,plain,(
% 0.54/0.65 $false|~sQ20_spl|~sQ24_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f860,f80])).
% 0.54/0.65 fof(f866,plain,(
% 0.54/0.65 ~sQ20_spl|~sQ24_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f865])).
% 0.54/0.65 fof(f872,plain,(
% 0.54/0.65 product(e_1,e_3,e_1)|~sQ47_spl|~sQ20_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f271,f864])).
% 0.54/0.65 fof(f874,plain,(
% 0.54/0.65 ~cycle(e_3,e_0)|~greater(e_4,e_3)|~sQ47_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f271,f66])).
% 0.54/0.65 fof(f886,plain,(
% 0.54/0.65 ~sQ4_spl|~sQ113_spl|~sQ47_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f874,f119,f657,f270])).
% 0.54/0.65 fof(f889,plain,(
% 0.54/0.65 equalish(e_1,e_3)|~sQ46_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f268,f99])).
% 0.54/0.65 fof(f903,plain,(
% 0.54/0.65 $false|~sQ46_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f889,f74])).
% 0.54/0.65 fof(f904,plain,(
% 0.54/0.65 ~sQ46_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f903])).
% 0.54/0.65 fof(f905,plain,(
% 0.54/0.65 equalish(e_3,e_4)|~sQ45_spl|~sQ29_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f265,f776])).
% 0.54/0.65 fof(f909,plain,(
% 0.54/0.65 ![X0]: (~product(e_3,X0,e_2)|equalish(X0,e_1)|~sQ45_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f265,f89])).
% 0.54/0.65 fof(f912,plain,(
% 0.54/0.65 $false|~sQ45_spl|~sQ29_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f905,f81])).
% 0.54/0.65 fof(f913,plain,(
% 0.54/0.65 ~sQ45_spl|~sQ29_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f912])).
% 0.54/0.65 fof(f916,plain,(
% 0.54/0.65 equalish(e_3,e_1)|~sQ44_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f262,f100])).
% 0.54/0.65 fof(f929,plain,(
% 0.54/0.65 $false|~sQ44_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f916,f79])).
% 0.54/0.65 fof(f930,plain,(
% 0.54/0.65 ~sQ44_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f929])).
% 0.54/0.65 fof(f931,plain,(
% 0.54/0.65 $false|~sQ25_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f824,f83])).
% 0.54/0.65 fof(f932,plain,(
% 0.54/0.65 ~sQ25_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f931])).
% 0.54/0.65 fof(f941,plain,(
% 0.54/0.65 product(e_2,e_3,e_2)|~sQ43_spl|~sQ21_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f258,f857])).
% 0.54/0.65 fof(f946,plain,(
% 0.54/0.65 equalish(e_2,e_4)|~sQ43_spl|~sQ21_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f941,f854])).
% 0.54/0.65 fof(f953,plain,(
% 0.54/0.65 $false|~sQ43_spl|~sQ21_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f946,f78])).
% 0.54/0.65 fof(f954,plain,(
% 0.54/0.65 ~sQ43_spl|~sQ21_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f953])).
% 0.54/0.65 fof(f955,plain,(
% 0.54/0.65 equalish(e_2,e_3)|~sQ42_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f255,f99])).
% 0.54/0.65 fof(f961,plain,(
% 0.54/0.65 $false|~sQ42_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f955,f77])).
% 0.54/0.65 fof(f962,plain,(
% 0.54/0.65 ~sQ42_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f961])).
% 0.54/0.65 fof(f964,plain,(
% 0.54/0.65 equalish(e_3,e_2)|~sQ41_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f252,f100])).
% 0.54/0.65 fof(f973,plain,(
% 0.54/0.65 ![X0]: (~product(e_3,X0,e_1)|equalish(X0,e_2)|~sQ40_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f249,f89])).
% 0.54/0.65 fof(f975,plain,(
% 0.54/0.65 ![X0]: (~product(e_2,X0,e_3)|product(e_1,e_2,X0)|~sQ40_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f249,f94])).
% 0.54/0.65 fof(f984,plain,(
% 0.54/0.65 equalish(e_4,e_3)|~sQ39_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f245,f97])).
% 0.54/0.65 fof(f987,plain,(
% 0.54/0.65 $false|~sQ39_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f984,f84])).
% 0.54/0.65 fof(f988,plain,(
% 0.54/0.65 ~sQ39_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f987])).
% 0.54/0.65 fof(f1007,plain,(
% 0.54/0.65 equalish(e_3,e_4)|~sQ35_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f232,f100])).
% 0.54/0.65 fof(f1012,plain,(
% 0.54/0.65 $false|~sQ35_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1007,f81])).
% 0.54/0.65 fof(f1013,plain,(
% 0.54/0.65 ~sQ35_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1012])).
% 0.54/0.65 fof(f1014,plain,(
% 0.54/0.65 equalish(e_4,e_3)|~sQ34_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f229,f99])).
% 0.54/0.65 fof(f1020,plain,(
% 0.54/0.65 $false|~sQ34_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1014,f84])).
% 0.54/0.65 fof(f1021,plain,(
% 0.54/0.65 ~sQ34_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1020])).
% 0.54/0.65 fof(f1022,plain,(
% 0.54/0.65 equalish(e_4,e_1)|~sQ33_spl|~sQ45_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f226,f909])).
% 0.54/0.65 fof(f1023,plain,(
% 0.54/0.65 ![X0]: (~product(X0,e_4,e_2)|equalish(X0,e_3)|~sQ33_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f226,f91])).
% 0.54/0.65 fof(f1027,plain,(
% 0.54/0.65 $false|~sQ33_spl|~sQ45_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1022,f82])).
% 0.54/0.65 fof(f1028,plain,(
% 0.54/0.65 ~sQ33_spl|~sQ45_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1027])).
% 0.54/0.65 fof(f1029,plain,(
% 0.54/0.65 equalish(e_4,e_2)|~sQ32_spl|~sQ40_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f223,f973])).
% 0.54/0.65 fof(f1034,plain,(
% 0.54/0.65 $false|~sQ32_spl|~sQ40_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1029,f83])).
% 0.54/0.65 fof(f1035,plain,(
% 0.54/0.65 ~sQ32_spl|~sQ40_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1034])).
% 0.54/0.65 fof(f1036,plain,(
% 0.54/0.65 product(e_3,e_2,e_1)|~sQ63_spl|~sQ26_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f327,f818])).
% 0.54/0.65 fof(f1038,plain,(
% 0.54/0.65 ~cycle(e_2,e_0)|~greater(e_4,e_2)|~sQ63_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f327,f66])).
% 0.54/0.65 fof(f1040,plain,(
% 0.54/0.65 ![X0]: (~product(e_2,X0,e_4)|equalish(X0,e_1)|~sQ63_spl)),
% 0.54/0.65 inference(resolution,[status(thm)],[f327,f89])).
% 0.54/0.65 fof(f1043,plain,(
% 0.54/0.65 sQ40_spl|~sQ63_spl|~sQ26_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f1036,f248,f326,f198])).
% 0.54/0.65 fof(f1051,plain,(
% 0.54/0.65 ~sQ8_spl|~sQ112_spl|~sQ63_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f1038,f132,f622,f326])).
% 0.54/0.65 fof(f1052,plain,(
% 0.54/0.65 equalish(e_2,e_4)|~sQ62_spl|~sQ30_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f324,f762])).
% 0.54/0.65 fof(f1054,plain,(
% 0.54/0.65 ~cycle(e_2,e_0)|~greater(e_3,e_2)|~sQ62_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f324,f66])).
% 0.54/0.65 fof(f1059,plain,(
% 0.54/0.65 $false|~sQ62_spl|~sQ30_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1052,f78])).
% 0.54/0.65 fof(f1060,plain,(
% 0.54/0.65 ~sQ62_spl|~sQ30_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1059])).
% 0.54/0.65 fof(f1064,plain,(
% 0.54/0.65 equalish(e_1,e_2)|~sQ61_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f321,f99])).
% 0.54/0.65 fof(f1074,plain,(
% 0.54/0.65 equalish(e_2,e_1)|~sQ60_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f318,f100])).
% 0.54/0.65 fof(f1087,plain,(
% 0.54/0.65 $false|~sQ60_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1074,f76])).
% 0.54/0.65 fof(f1088,plain,(
% 0.54/0.65 ~sQ60_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1087])).
% 0.54/0.65 fof(f1097,plain,(
% 0.54/0.65 $false|~sQ61_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1064,f73])).
% 0.54/0.65 fof(f1098,plain,(
% 0.54/0.65 ~sQ61_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1097])).
% 0.54/0.65 fof(f1099,plain,(
% 0.54/0.65 $false|~sQ41_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f964,f80])).
% 0.54/0.65 fof(f1100,plain,(
% 0.54/0.65 ~sQ41_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1099])).
% 0.54/0.65 fof(f1105,definition,(
% 0.54/0.65 sQ135_spl <=> (greater(e_3,e_2))),
% 0.54/0.65 introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition])).
% 0.54/0.65 fof(f1107,plain,(
% 0.54/0.65 ~greater(e_3,e_2)|sQ135_spl),
% 0.54/0.65 inference(component_clause,[status(thm)],[f1105])).
% 0.54/0.65 fof(f1108,plain,(
% 0.54/0.65 ~sQ8_spl|~sQ135_spl|~sQ62_spl),
% 0.54/0.65 inference(split_clause,[status(thm)],[f1054,f132,f1105,f323])).
% 0.54/0.65 fof(f1109,plain,(
% 0.54/0.65 $false|sQ135_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1107,f55])).
% 0.54/0.65 fof(f1110,plain,(
% 0.54/0.65 sQ135_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1109])).
% 0.54/0.65 fof(f1118,plain,(
% 0.54/0.65 equalish(e_3,e_1)|~sQ47_spl|~sQ20_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f872,f99])).
% 0.54/0.65 fof(f1124,plain,(
% 0.54/0.65 $false|~sQ47_spl|~sQ20_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1118,f79])).
% 0.54/0.65 fof(f1125,plain,(
% 0.54/0.65 ~sQ47_spl|~sQ20_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1124])).
% 0.54/0.65 fof(f1133,plain,(
% 0.54/0.65 equalish(e_2,e_1)|~sQ59_spl|~sQ63_spl),
% 0.54/0.65 inference(resolution,[status(thm)],[f314,f1040])).
% 0.54/0.65 fof(f1140,plain,(
% 0.54/0.65 $false|~sQ59_spl|~sQ63_spl),
% 0.54/0.65 inference(forward_subsumption_resolution,[status(thm)],[f1133,f76])).
% 0.54/0.65 fof(f1141,plain,(
% 0.54/0.65 ~sQ59_spl|~sQ63_spl),
% 0.54/0.65 inference(contradiction_clause,[status(thm)],[f1140])).
% 0.54/0.66 fof(f1159,plain,(
% 0.54/0.66 equalish(e_3,e_1)|~sQ55_spl|~sQ63_spl),
% 0.54/0.66 inference(resolution,[status(thm)],[f301,f1040])).
% 0.54/0.66 fof(f1165,plain,(
% 0.54/0.66 $false|~sQ55_spl|~sQ63_spl),
% 0.54/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1159,f79])).
% 0.54/0.66 fof(f1166,plain,(
% 0.54/0.66 ~sQ55_spl|~sQ63_spl),
% 0.54/0.66 inference(contradiction_clause,[status(thm)],[f1165])).
% 0.54/0.66 fof(f1168,plain,(
% 0.54/0.66 equalish(e_2,e_3)|~sQ54_spl),
% 0.54/0.66 inference(resolution,[status(thm)],[f298,f100])).
% 0.54/0.66 fof(f1173,plain,(
% 0.54/0.66 $false|~sQ54_spl),
% 0.54/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1168,f77])).
% 0.54/0.66 fof(f1174,plain,(
% 0.54/0.66 ~sQ54_spl),
% 0.54/0.66 inference(contradiction_clause,[status(thm)],[f1173])).
% 0.54/0.66 fof(f1175,plain,(
% 0.54/0.66 equalish(e_2,e_4)|~sQ53_spl|~sQ21_spl),
% 0.54/0.66 inference(resolution,[status(thm)],[f295,f854])).
% 0.54/0.66 fof(f1182,plain,(
% 0.54/0.66 $false|~sQ53_spl|~sQ21_spl),
% 0.54/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1175,f78])).
% 0.54/0.66 fof(f1183,plain,(
% 0.54/0.66 ~sQ53_spl|~sQ21_spl),
% 0.54/0.66 inference(contradiction_clause,[status(thm)],[f1182])).
% 0.54/0.66 fof(f1185,plain,(
% 0.54/0.66 ![X0]: (~product(e_2,X0,e_1)|equalish(X0,e_3)|~sQ52_spl)),
% 0.54/0.66 inference(resolution,[status(thm)],[f292,f89])).
% 0.54/0.66 fof(f1191,plain,(
% 0.54/0.66 equalish(e_4,e_1)|~sQ51_spl|~sQ63_spl),
% 0.54/0.66 inference(resolution,[status(thm)],[f288,f1040])).
% 0.54/0.66 fof(f1198,plain,(
% 0.54/0.66 $false|~sQ51_spl|~sQ63_spl),
% 0.54/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1191,f82])).
% 0.54/0.66 fof(f1199,plain,(
% 0.54/0.66 ~sQ51_spl|~sQ63_spl),
% 0.54/0.66 inference(contradiction_clause,[status(thm)],[f1198])).
% 0.54/0.66 fof(f1200,plain,(
% 0.54/0.66 product(e_1,e_2,e_4)|~sQ50_spl|~sQ40_spl),
% 0.54/0.66 inference(resolution,[status(thm)],[f285,f975])).
% 0.54/0.66 fof(f1205,plain,(
% 0.54/0.66 product(e_3,e_1,e_2)|~sQ50_spl|~sQ40_spl|~sQ30_spl),
% 0.54/0.66 inference(resolution,[status(thm)],[f1200,f765])).
% 0.54/0.66 fof(f1210,plain,(
% 0.54/0.66 sQ45_spl|~sQ50_spl|~sQ40_spl|~sQ30_spl),
% 0.54/0.66 inference(split_clause,[status(thm)],[f1205,f264,f284,f248,f211])).
% 0.54/0.66 fof(f1211,plain,(
% 0.54/0.66 equalish(e_2,e_3)|~sQ49_spl|~sQ33_spl),
% 0.54/0.66 inference(resolution,[status(thm)],[f282,f1023])).
% 0.54/0.66 fof(f1218,plain,(
% 0.54/0.66 $false|~sQ49_spl|~sQ33_spl),
% 0.54/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1211,f77])).
% 0.54/0.66 fof(f1219,plain,(
% 0.54/0.66 ~sQ49_spl|~sQ33_spl),
% 0.54/0.66 inference(contradiction_clause,[status(thm)],[f1218])).
% 0.54/0.66 fof(f1220,plain,(
% 0.54/0.66 equalish(e_4,e_3)|~sQ48_spl|~sQ52_spl),
% 0.54/0.66 inference(resolution,[status(thm)],[f279,f1185])).
% 0.54/0.66 fof(f1225,plain,(
% 0.54/0.66 $false|~sQ48_spl|~sQ52_spl),
% 0.54/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1220,f84])).
% 0.54/0.66 fof(f1226,plain,(
% 0.54/0.66 ~sQ48_spl|~sQ52_spl),
% 0.54/0.66 inference(contradiction_clause,[status(thm)],[f1225])).
% 0.54/0.66 fof(f1227,plain,(
% 0.54/0.66 $false),
% 0.54/0.66 inference(sat_refutation,[status(thm)],[f131,f144,f157,f191,f204,f217,f234,f260,f273,f290,f303,f329,f398,f403,f411,f414,f420,f426,f432,f495,f517,f548,f555,f562,f566,f567,f568,f572,f574,f576,f578,f589,f596,f603,f607,f608,f613,f625,f628,f630,f664,f671,f706,f789,f806,f814,f845,f852,f859,f866,f886,f904,f913,f930,f932,f954,f962,f988,f1013,f1021,f1028,f1035,f1043,f1051,f1060,f1088,f1098,f1100,f1108,f1110,f1125,f1141,f1166,f1174,f1183,f1199,f1210,f1219,f1226])).
% 0.54/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 0.54/0.66 % Elapsed time: 0.220734 seconds
% 0.54/0.66 % CPU time: 1.395567 seconds
% 0.54/0.66 % Total memory used: 23.589 MB
% 0.54/0.66 % Net memory used: 23.050 MB
%------------------------------------------------------------------------------