%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP126-3.004 : 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 : n015.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 12:35:51 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP126-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:02:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f2,axiom,(
% 0.12/0.41 next(e_1,e_2) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f4,axiom,(
% 0.12/0.41 next(e_3,e_4) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f5,axiom,(
% 0.12/0.41 greater(e_1,e_0) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f6,axiom,(
% 0.12/0.41 greater(e_2,e_0) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f7,axiom,(
% 0.12/0.41 greater(e_3,e_0) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f10,axiom,(
% 0.12/0.41 greater(e_3,e_1) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f11,axiom,(
% 0.12/0.41 greater(e_4,e_1) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f12,axiom,(
% 0.12/0.41 greater(e_3,e_2) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f13,axiom,(
% 0.12/0.41 greater(e_4,e_2) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f14,axiom,(
% 0.12/0.41 greater(e_4,e_3) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f16,axiom,(
% 0.12/0.41 (![X]: (( ~ group_element(X)| cycle(X,e_0)| cycle(X,e_1)| cycle(X,e_2)| cycle(X,e_3) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f17,axiom,(
% 0.12/0.41 cycle(e_4,e_0) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f18,axiom,(
% 0.12/0.41 (![X,Y,W,Z,Z1]: (( ~ cycle(X,Y)| ~ cycle(W,Z)| ~ next(X,W)| ~ greater(Y,e_0)| ~ next(Z,Z1)| equalish(Y,Z1) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f19,axiom,(
% 0.12/0.41 (![X,Z1,Y,W,Z2]: (( ~ cycle(X,Z1)| ~ cycle(Y,e_0)| ~ cycle(W,Z2)| ~ next(Y,W)| ~ greater(Y,X)| ~ greater(Z1,Z2) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f20,axiom,(
% 0.12/0.41 (![X,Y]: (( ~ cycle(X,e_0)| ~ product(X,e_1,Y)| ~ greater(Y,X) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f21,axiom,(
% 0.12/0.41 (![X,Y,Z,X1]: (( ~ cycle(X,Y)| ~ product(X,e_1,Z)| ~ greater(Y,e_0)| ~ next(X,X1)| equalish(Z,X1) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f22,axiom,(
% 0.12/0.41 group_element(e_1) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f23,axiom,(
% 0.12/0.41 group_element(e_2) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f24,axiom,(
% 0.12/0.41 group_element(e_3) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f25,axiom,(
% 0.12/0.41 group_element(e_4) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f26,axiom,(
% 0.12/0.41 ~ equalish(e_1,e_2) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f27,axiom,(
% 0.12/0.41 ~ equalish(e_1,e_3) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f28,axiom,(
% 0.12/0.41 ~ equalish(e_1,e_4) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f29,axiom,(
% 0.12/0.41 ~ equalish(e_2,e_1) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f30,axiom,(
% 0.12/0.41 ~ equalish(e_2,e_3) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f31,axiom,(
% 0.12/0.41 ~ equalish(e_2,e_4) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f32,axiom,(
% 0.12/0.41 ~ equalish(e_3,e_1) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f33,axiom,(
% 0.12/0.41 ~ equalish(e_3,e_2) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f34,axiom,(
% 0.12/0.41 ~ equalish(e_3,e_4) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f35,axiom,(
% 0.12/0.41 ~ equalish(e_4,e_1) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f36,axiom,(
% 0.12/0.41 ~ equalish(e_4,e_2) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f37,axiom,(
% 0.12/0.41 ~ equalish(e_4,e_3) ),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f38,axiom,(
% 0.12/0.41 (![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) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f39,axiom,(
% 0.12/0.41 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f40,axiom,(
% 0.12/0.41 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f41,axiom,(
% 0.12/0.41 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f42,axiom,(
% 0.12/0.41 (![X]: (product(X,X,X) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f43,negated_conjecture,(
% 0.12/0.41 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(Y,X,Z2)| product(Z1,Z2,Y) ) ))),
% 0.12/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f45,plain,(
% 0.12/0.41 next(e_1,e_2)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.41 fof(f47,plain,(
% 0.12/0.41 next(e_3,e_4)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.41 fof(f48,plain,(
% 0.12/0.41 greater(e_1,e_0)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.41 fof(f49,plain,(
% 0.12/0.41 greater(e_2,e_0)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.41 fof(f50,plain,(
% 0.12/0.41 greater(e_3,e_0)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.41 fof(f53,plain,(
% 0.12/0.41 greater(e_3,e_1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.41 fof(f54,plain,(
% 0.12/0.41 greater(e_4,e_1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.41 fof(f55,plain,(
% 0.12/0.41 greater(e_3,e_2)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.41 fof(f56,plain,(
% 0.12/0.41 greater(e_4,e_2)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.41 fof(f57,plain,(
% 0.12/0.41 greater(e_4,e_3)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.41 fof(f60,plain,(
% 0.12/0.41 ![X0]: (~group_element(X0)|cycle(X0,e_0)|cycle(X0,e_1)|cycle(X0,e_2)|cycle(X0,e_3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.41 fof(f61,plain,(
% 0.12/0.41 cycle(e_4,e_0)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.41 fof(f62,plain,(
% 0.12/0.41 ![Y,Z1]: ((![Z]: (((![X,W]: ((~cycle(X,Y)|~cycle(W,Z))|~next(X,W)))|~greater(Y,e_0))|~next(Z,Z1)))|equalish(Y,Z1))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f18])).
% 0.12/0.41 fof(f63,plain,(
% 0.12/0.41 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(X0,X2)|~greater(X1,e_0)|~next(X3,X4)|equalish(X1,X4))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f62])).
% 0.12/0.41 fof(f64,plain,(
% 0.12/0.41 ![Z1,Z2]: ((![X,Y]: ((![W]: (((~cycle(X,Z1)|~cycle(Y,e_0))|~cycle(W,Z2))|~next(Y,W)))|~greater(Y,X)))|~greater(Z1,Z2))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f19])).
% 0.12/0.41 fof(f65,plain,(
% 0.12/0.41 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,e_0)|~cycle(X3,X4)|~next(X2,X3)|~greater(X2,X0)|~greater(X1,X4))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/0.41 fof(f66,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,e_0)|~product(X0,e_1,X1)|~greater(X1,X0))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.41 fof(f67,plain,(
% 0.12/0.41 ![Z,X1]: ((![X]: ((![Y]: ((~cycle(X,Y)|~product(X,e_1,Z))|~greater(Y,e_0)))|~next(X,X1)))|equalish(Z,X1))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f21])).
% 0.12/0.41 fof(f68,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~cycle(X0,X1)|~product(X0,e_1,X2)|~greater(X1,e_0)|~next(X0,X3)|equalish(X2,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f67])).
% 0.12/0.41 fof(f69,plain,(
% 0.12/0.41 group_element(e_1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.41 fof(f70,plain,(
% 0.12/0.41 group_element(e_2)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.41 fof(f71,plain,(
% 0.12/0.41 group_element(e_3)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.41 fof(f72,plain,(
% 0.12/0.41 group_element(e_4)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.41 fof(f73,plain,(
% 0.12/0.41 ~equalish(e_1,e_2)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.41 fof(f74,plain,(
% 0.12/0.41 ~equalish(e_1,e_3)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.41 fof(f75,plain,(
% 0.12/0.41 ~equalish(e_1,e_4)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.41 fof(f76,plain,(
% 0.12/0.41 ~equalish(e_2,e_1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.41 fof(f77,plain,(
% 0.12/0.41 ~equalish(e_2,e_3)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.41 fof(f78,plain,(
% 0.12/0.41 ~equalish(e_2,e_4)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.41 fof(f79,plain,(
% 0.12/0.41 ~equalish(e_3,e_1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.41 fof(f80,plain,(
% 0.12/0.41 ~equalish(e_3,e_2)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.41 fof(f81,plain,(
% 0.12/0.41 ~equalish(e_3,e_4)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.41 fof(f82,plain,(
% 0.12/0.41 ~equalish(e_4,e_1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.41 fof(f83,plain,(
% 0.12/0.41 ~equalish(e_4,e_2)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.41 fof(f84,plain,(
% 0.12/0.41 ~equalish(e_4,e_3)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.41 fof(f85,plain,(
% 0.12/0.41 ![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))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.41 fof(f86,plain,(
% 0.12/0.41 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f39])).
% 0.12/0.41 fof(f87,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f86])).
% 0.12/0.41 fof(f88,plain,(
% 0.12/0.41 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f40])).
% 0.12/0.41 fof(f89,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f88])).
% 0.12/0.41 fof(f90,plain,(
% 0.12/0.41 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f41])).
% 0.12/0.41 fof(f91,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f90])).
% 0.12/0.41 fof(f92,plain,(
% 0.12/0.41 ![X0]: (product(X0,X0,X0))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/0.41 fof(f93,plain,(
% 0.12/0.41 ![Y,Z1,Z2]: ((![X]: (~product(X,Y,Z1)|~product(Y,X,Z2)))|product(Z1,Z2,Y))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f43])).
% 0.12/0.41 fof(f94,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X1,X0,X3)|product(X2,X3,X1))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f93])).
% 0.12/0.41 fof(f95,plain,(
% 0.12/0.41 ![X0,X1]: (~product(X0,X0,X1)|equalish(X1,X0))),
% 0.12/0.41 inference(resolution,[status(thm)],[f92,f87])).
% 0.12/0.41 fof(f98,plain,(
% 0.12/0.41 ![X0,X1]: (~product(X0,X1,X0)|equalish(X1,X0))),
% 0.12/0.41 inference(resolution,[status(thm)],[f89,f92])).
% 0.12/0.41 fof(f99,plain,(
% 0.12/0.41 ![X0,X1]: (~product(X0,X1,X1)|equalish(X0,X1))),
% 0.12/0.41 inference(resolution,[status(thm)],[f91,f92])).
% 0.12/0.41 fof(f100,plain,(
% 0.12/0.41 cycle(e_3,e_0)|cycle(e_3,e_1)|cycle(e_3,e_2)|cycle(e_3,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f60,f71])).
% 0.12/0.41 fof(f101,plain,(
% 0.12/0.41 cycle(e_2,e_0)|cycle(e_2,e_1)|cycle(e_2,e_2)|cycle(e_2,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f60,f70])).
% 0.12/0.41 fof(f102,plain,(
% 0.12/0.41 cycle(e_1,e_0)|cycle(e_1,e_1)|cycle(e_1,e_2)|cycle(e_1,e_3)),
% 0.12/0.41 inference(resolution,[status(thm)],[f60,f69])).
% 0.12/0.41 fof(f103,definition,(
% 0.12/0.41 sQ0_spl <=> (cycle(e_3,e_0))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f104,plain,(
% 0.12/0.41 cycle(e_3,e_0)|~sQ0_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f103])).
% 0.12/0.41 fof(f106,definition,(
% 0.12/0.41 sQ1_spl <=> (cycle(e_3,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f107,plain,(
% 0.12/0.41 cycle(e_3,e_1)|~sQ1_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f106])).
% 0.12/0.41 fof(f109,definition,(
% 0.12/0.41 sQ2_spl <=> (cycle(e_3,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f110,plain,(
% 0.12/0.41 cycle(e_3,e_2)|~sQ2_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.12/0.41 fof(f112,definition,(
% 0.12/0.41 sQ3_spl <=> (cycle(e_3,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f113,plain,(
% 0.12/0.41 cycle(e_3,e_3)|~sQ3_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f112])).
% 0.12/0.41 fof(f115,plain,(
% 0.12/0.41 sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f100,f103,f106,f109,f112])).
% 0.12/0.41 fof(f116,definition,(
% 0.12/0.41 sQ4_spl <=> (cycle(e_2,e_0))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f119,definition,(
% 0.12/0.41 sQ5_spl <=> (cycle(e_2,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f120,plain,(
% 0.12/0.41 cycle(e_2,e_1)|~sQ5_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f119])).
% 0.12/0.41 fof(f122,definition,(
% 0.12/0.41 sQ6_spl <=> (cycle(e_2,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f123,plain,(
% 0.12/0.41 cycle(e_2,e_2)|~sQ6_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f122])).
% 0.12/0.41 fof(f125,definition,(
% 0.12/0.41 sQ7_spl <=> (cycle(e_2,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f126,plain,(
% 0.12/0.41 cycle(e_2,e_3)|~sQ7_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f125])).
% 0.12/0.41 fof(f128,plain,(
% 0.12/0.41 sQ4_spl|sQ5_spl|sQ6_spl|sQ7_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f101,f116,f119,f122,f125])).
% 0.12/0.41 fof(f129,definition,(
% 0.12/0.41 sQ8_spl <=> (cycle(e_1,e_0))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f130,plain,(
% 0.12/0.41 cycle(e_1,e_0)|~sQ8_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f129])).
% 0.12/0.41 fof(f132,definition,(
% 0.12/0.41 sQ9_spl <=> (cycle(e_1,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f133,plain,(
% 0.12/0.41 cycle(e_1,e_1)|~sQ9_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f132])).
% 0.12/0.41 fof(f135,definition,(
% 0.12/0.41 sQ10_spl <=> (cycle(e_1,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f136,plain,(
% 0.12/0.41 cycle(e_1,e_2)|~sQ10_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f135])).
% 0.12/0.41 fof(f138,definition,(
% 0.12/0.41 sQ11_spl <=> (cycle(e_1,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f139,plain,(
% 0.12/0.41 cycle(e_1,e_3)|~sQ11_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f138])).
% 0.12/0.41 fof(f141,plain,(
% 0.12/0.41 sQ8_spl|sQ9_spl|sQ10_spl|sQ11_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f102,f129,f132,f135,f138])).
% 0.12/0.41 fof(f142,plain,(
% 0.12/0.41 ![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))),
% 0.12/0.41 inference(resolution,[status(thm)],[f85,f71])).
% 0.12/0.41 fof(f143,plain,(
% 0.12/0.41 ![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))),
% 0.12/0.41 inference(resolution,[status(thm)],[f85,f70])).
% 0.12/0.41 fof(f144,plain,(
% 0.12/0.41 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_2)|product(e_1,X0,e_3)|product(e_1,X0,e_4))),
% 0.12/0.41 inference(resolution,[status(thm)],[f85,f69])).
% 0.12/0.41 fof(f146,plain,(
% 0.12/0.41 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)),
% 0.12/0.41 inference(resolution,[status(thm)],[f142,f70])).
% 0.12/0.41 fof(f147,plain,(
% 0.12/0.41 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)),
% 0.12/0.41 inference(resolution,[status(thm)],[f142,f69])).
% 0.12/0.41 fof(f157,definition,(
% 0.12/0.41 sQ15_spl <=> (product(e_3,e_3,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f158,plain,(
% 0.12/0.41 product(e_3,e_3,e_4)|~sQ15_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f157])).
% 0.12/0.41 fof(f161,definition,(
% 0.12/0.41 sQ16_spl <=> (product(e_3,e_2,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f162,plain,(
% 0.12/0.41 product(e_3,e_2,e_1)|~sQ16_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f161])).
% 0.12/0.41 fof(f164,definition,(
% 0.12/0.41 sQ17_spl <=> (product(e_3,e_2,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f165,plain,(
% 0.12/0.41 product(e_3,e_2,e_2)|~sQ17_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f164])).
% 0.12/0.41 fof(f167,definition,(
% 0.12/0.41 sQ18_spl <=> (product(e_3,e_2,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f168,plain,(
% 0.12/0.41 product(e_3,e_2,e_3)|~sQ18_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f167])).
% 0.12/0.41 fof(f170,definition,(
% 0.12/0.41 sQ19_spl <=> (product(e_3,e_2,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f171,plain,(
% 0.12/0.41 product(e_3,e_2,e_4)|~sQ19_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f170])).
% 0.12/0.41 fof(f173,plain,(
% 0.12/0.41 sQ16_spl|sQ17_spl|sQ18_spl|sQ19_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f146,f161,f164,f167,f170])).
% 0.12/0.41 fof(f174,definition,(
% 0.12/0.41 sQ20_spl <=> (product(e_3,e_1,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f175,plain,(
% 0.12/0.41 product(e_3,e_1,e_1)|~sQ20_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f174])).
% 0.12/0.41 fof(f177,definition,(
% 0.12/0.41 sQ21_spl <=> (product(e_3,e_1,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f178,plain,(
% 0.12/0.41 product(e_3,e_1,e_2)|~sQ21_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f177])).
% 0.12/0.41 fof(f180,definition,(
% 0.12/0.41 sQ22_spl <=> (product(e_3,e_1,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f181,plain,(
% 0.12/0.41 product(e_3,e_1,e_3)|~sQ22_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f180])).
% 0.12/0.41 fof(f183,definition,(
% 0.12/0.41 sQ23_spl <=> (product(e_3,e_1,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f184,plain,(
% 0.12/0.41 product(e_3,e_1,e_4)|~sQ23_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f183])).
% 0.12/0.41 fof(f186,plain,(
% 0.12/0.41 sQ20_spl|sQ21_spl|sQ22_spl|sQ23_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f147,f174,f177,f180,f183])).
% 0.12/0.41 fof(f187,plain,(
% 0.12/0.41 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)),
% 0.12/0.41 inference(resolution,[status(thm)],[f143,f71])).
% 0.12/0.41 fof(f189,plain,(
% 0.12/0.41 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)),
% 0.12/0.41 inference(resolution,[status(thm)],[f143,f69])).
% 0.12/0.41 fof(f190,definition,(
% 0.12/0.41 sQ24_spl <=> (product(e_2,e_3,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f191,plain,(
% 0.12/0.41 product(e_2,e_3,e_1)|~sQ24_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f190])).
% 0.12/0.41 fof(f193,definition,(
% 0.12/0.41 sQ25_spl <=> (product(e_2,e_3,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f194,plain,(
% 0.12/0.41 product(e_2,e_3,e_2)|~sQ25_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f193])).
% 0.12/0.41 fof(f196,definition,(
% 0.12/0.41 sQ26_spl <=> (product(e_2,e_3,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f197,plain,(
% 0.12/0.41 product(e_2,e_3,e_3)|~sQ26_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f196])).
% 0.12/0.41 fof(f199,definition,(
% 0.12/0.41 sQ27_spl <=> (product(e_2,e_3,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f200,plain,(
% 0.12/0.41 product(e_2,e_3,e_4)|~sQ27_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f199])).
% 0.12/0.41 fof(f202,plain,(
% 0.12/0.41 sQ24_spl|sQ25_spl|sQ26_spl|sQ27_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f187,f190,f193,f196,f199])).
% 0.12/0.41 fof(f212,definition,(
% 0.12/0.41 sQ31_spl <=> (product(e_2,e_2,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f213,plain,(
% 0.12/0.41 product(e_2,e_2,e_4)|~sQ31_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f212])).
% 0.12/0.41 fof(f216,definition,(
% 0.12/0.41 sQ32_spl <=> (product(e_2,e_1,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f217,plain,(
% 0.12/0.41 product(e_2,e_1,e_1)|~sQ32_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f216])).
% 0.12/0.41 fof(f219,definition,(
% 0.12/0.41 sQ33_spl <=> (product(e_2,e_1,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f220,plain,(
% 0.12/0.41 product(e_2,e_1,e_2)|~sQ33_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f219])).
% 0.12/0.41 fof(f222,definition,(
% 0.12/0.41 sQ34_spl <=> (product(e_2,e_1,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f223,plain,(
% 0.12/0.41 product(e_2,e_1,e_3)|~sQ34_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f222])).
% 0.12/0.41 fof(f225,definition,(
% 0.12/0.41 sQ35_spl <=> (product(e_2,e_1,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f226,plain,(
% 0.12/0.41 product(e_2,e_1,e_4)|~sQ35_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f225])).
% 0.12/0.41 fof(f228,plain,(
% 0.12/0.41 sQ32_spl|sQ33_spl|sQ34_spl|sQ35_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f189,f216,f219,f222,f225])).
% 0.12/0.41 fof(f229,plain,(
% 0.12/0.41 product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)|product(e_1,e_3,e_4)),
% 0.12/0.41 inference(resolution,[status(thm)],[f144,f71])).
% 0.12/0.41 fof(f230,plain,(
% 0.12/0.41 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4)),
% 0.12/0.41 inference(resolution,[status(thm)],[f144,f70])).
% 0.12/0.41 fof(f231,plain,(
% 0.12/0.41 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)),
% 0.12/0.41 inference(resolution,[status(thm)],[f144,f69])).
% 0.12/0.41 fof(f232,definition,(
% 0.12/0.41 sQ36_spl <=> (product(e_1,e_3,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f233,plain,(
% 0.12/0.41 product(e_1,e_3,e_1)|~sQ36_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f232])).
% 0.12/0.41 fof(f235,definition,(
% 0.12/0.41 sQ37_spl <=> (product(e_1,e_3,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f236,plain,(
% 0.12/0.41 product(e_1,e_3,e_2)|~sQ37_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f235])).
% 0.12/0.41 fof(f238,definition,(
% 0.12/0.41 sQ38_spl <=> (product(e_1,e_3,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f239,plain,(
% 0.12/0.41 product(e_1,e_3,e_3)|~sQ38_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f238])).
% 0.12/0.41 fof(f241,definition,(
% 0.12/0.41 sQ39_spl <=> (product(e_1,e_3,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f242,plain,(
% 0.12/0.41 product(e_1,e_3,e_4)|~sQ39_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f241])).
% 0.12/0.41 fof(f244,plain,(
% 0.12/0.41 sQ36_spl|sQ37_spl|sQ38_spl|sQ39_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f229,f232,f235,f238,f241])).
% 0.12/0.41 fof(f245,definition,(
% 0.12/0.41 sQ40_spl <=> (product(e_1,e_2,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f246,plain,(
% 0.12/0.41 product(e_1,e_2,e_1)|~sQ40_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f245])).
% 0.12/0.41 fof(f248,definition,(
% 0.12/0.41 sQ41_spl <=> (product(e_1,e_2,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f249,plain,(
% 0.12/0.41 product(e_1,e_2,e_2)|~sQ41_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f248])).
% 0.12/0.41 fof(f251,definition,(
% 0.12/0.41 sQ42_spl <=> (product(e_1,e_2,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f252,plain,(
% 0.12/0.41 product(e_1,e_2,e_3)|~sQ42_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f251])).
% 0.12/0.41 fof(f254,definition,(
% 0.12/0.41 sQ43_spl <=> (product(e_1,e_2,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f255,plain,(
% 0.12/0.41 product(e_1,e_2,e_4)|~sQ43_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f254])).
% 0.12/0.41 fof(f257,plain,(
% 0.12/0.41 sQ40_spl|sQ41_spl|sQ42_spl|sQ43_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f230,f245,f248,f251,f254])).
% 0.12/0.41 fof(f258,definition,(
% 0.12/0.41 sQ44_spl <=> (product(e_1,e_1,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f261,definition,(
% 0.12/0.41 sQ45_spl <=> (product(e_1,e_1,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f262,plain,(
% 0.12/0.41 product(e_1,e_1,e_2)|~sQ45_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f261])).
% 0.12/0.41 fof(f264,definition,(
% 0.12/0.41 sQ46_spl <=> (product(e_1,e_1,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f265,plain,(
% 0.12/0.41 product(e_1,e_1,e_3)|~sQ46_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f264])).
% 0.12/0.41 fof(f267,definition,(
% 0.12/0.41 sQ47_spl <=> (product(e_1,e_1,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f268,plain,(
% 0.12/0.41 product(e_1,e_1,e_4)|~sQ47_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f267])).
% 0.12/0.41 fof(f270,plain,(
% 0.12/0.41 sQ44_spl|sQ45_spl|sQ46_spl|sQ47_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f231,f258,f261,f264,f267])).
% 0.12/0.41 fof(f274,plain,(
% 0.12/0.41 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)),
% 0.12/0.41 inference(resolution,[status(thm)],[f72,f144])).
% 0.12/0.41 fof(f275,plain,(
% 0.12/0.41 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)),
% 0.12/0.41 inference(resolution,[status(thm)],[f72,f143])).
% 0.12/0.41 fof(f279,definition,(
% 0.12/0.41 sQ48_spl <=> (product(e_1,e_4,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f280,plain,(
% 0.12/0.41 product(e_1,e_4,e_1)|~sQ48_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f279])).
% 0.12/0.41 fof(f282,definition,(
% 0.12/0.41 sQ49_spl <=> (product(e_1,e_4,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f283,plain,(
% 0.12/0.41 product(e_1,e_4,e_2)|~sQ49_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f282])).
% 0.12/0.41 fof(f285,definition,(
% 0.12/0.41 sQ50_spl <=> (product(e_1,e_4,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f286,plain,(
% 0.12/0.41 product(e_1,e_4,e_3)|~sQ50_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f285])).
% 0.12/0.41 fof(f288,definition,(
% 0.12/0.41 sQ51_spl <=> (product(e_1,e_4,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f289,plain,(
% 0.12/0.41 product(e_1,e_4,e_4)|~sQ51_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f288])).
% 0.12/0.41 fof(f291,plain,(
% 0.12/0.41 sQ48_spl|sQ49_spl|sQ50_spl|sQ51_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f274,f279,f282,f285,f288])).
% 0.12/0.41 fof(f292,definition,(
% 0.12/0.41 sQ52_spl <=> (product(e_2,e_4,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f293,plain,(
% 0.12/0.41 product(e_2,e_4,e_1)|~sQ52_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f292])).
% 0.12/0.41 fof(f295,definition,(
% 0.12/0.41 sQ53_spl <=> (product(e_2,e_4,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f296,plain,(
% 0.12/0.41 product(e_2,e_4,e_2)|~sQ53_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f295])).
% 0.12/0.41 fof(f298,definition,(
% 0.12/0.41 sQ54_spl <=> (product(e_2,e_4,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f299,plain,(
% 0.12/0.41 product(e_2,e_4,e_3)|~sQ54_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f298])).
% 0.12/0.41 fof(f301,definition,(
% 0.12/0.41 sQ55_spl <=> (product(e_2,e_4,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f302,plain,(
% 0.12/0.41 product(e_2,e_4,e_4)|~sQ55_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f301])).
% 0.12/0.41 fof(f304,plain,(
% 0.12/0.41 sQ52_spl|sQ53_spl|sQ54_spl|sQ55_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f275,f292,f295,f298,f301])).
% 0.12/0.41 fof(f311,definition,(
% 0.12/0.41 sQ58_spl <=> (product(e_3,e_4,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f312,plain,(
% 0.12/0.41 product(e_3,e_4,e_3)|~sQ58_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f311])).
% 0.12/0.41 fof(f314,definition,(
% 0.12/0.41 sQ59_spl <=> (product(e_3,e_4,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f315,plain,(
% 0.12/0.41 product(e_3,e_4,e_4)|~sQ59_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f314])).
% 0.12/0.41 fof(f388,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~cycle(X0,X1)|~next(X0,e_4)|~greater(X1,e_0)|~next(e_0,X2)|equalish(X1,X2))),
% 0.12/0.41 inference(resolution,[status(thm)],[f63,f61])).
% 0.12/0.41 fof(f389,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_4)|~greater(e_4,X0)|~greater(X1,e_0))),
% 0.12/0.41 inference(resolution,[status(thm)],[f65,f61])).
% 0.12/0.41 fof(f390,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(e_4,X2)|~greater(e_4,X0)|~greater(X1,X3))),
% 0.12/0.41 inference(resolution,[status(thm)],[f65,f61])).
% 0.12/0.41 fof(f391,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~cycle(X0,X1)|~cycle(X2,e_0)|~next(X2,e_4)|~greater(X2,X0)|~greater(X1,e_0))),
% 0.12/0.41 inference(resolution,[status(thm)],[f65,f61])).
% 0.12/0.41 fof(f392,definition,(
% 0.12/0.41 ![X0,X1]: (sQ80_spl <=> (~cycle(X0,X1)|~greater(e_4,X0)|~greater(X1,e_0)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f393,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~greater(e_4,X0)|~greater(X1,e_0)|~sQ80_spl)),
% 0.12/0.41 inference(component_clause,[status(thm)],[f392])).
% 0.12/0.41 fof(f395,definition,(
% 0.12/0.41 sQ81_spl <=> (next(e_4,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f398,plain,(
% 0.12/0.41 sQ80_spl|~sQ81_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f389,f392,f395])).
% 0.12/0.41 fof(f399,plain,(
% 0.12/0.41 ~cycle(e_1,e_0)|~greater(e_1,e_1)),
% 0.12/0.41 inference(resolution,[status(thm)],[f66,f92])).
% 0.12/0.41 fof(f400,definition,(
% 0.12/0.41 sQ82_spl <=> (greater(e_1,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f403,plain,(
% 0.12/0.41 ~sQ8_spl|~sQ82_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f399,f129,f400])).
% 0.12/0.41 fof(f404,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(e_1,X0)|~greater(X0,e_0)|~next(e_1,X1)|equalish(e_1,X1))),
% 0.12/0.41 inference(resolution,[status(thm)],[f68,f92])).
% 0.12/0.41 fof(f405,definition,(
% 0.12/0.41 ![X0]: (sQ83_spl <=> (~cycle(e_1,X0)|~greater(X0,e_0)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f406,plain,(
% 0.12/0.41 ![X0]: (~cycle(e_1,X0)|~greater(X0,e_0)|~sQ83_spl)),
% 0.12/0.41 inference(component_clause,[status(thm)],[f405])).
% 0.12/0.41 fof(f408,definition,(
% 0.12/0.41 ![X1]: (sQ84_spl <=> (~next(e_1,X1)|equalish(e_1,X1)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f409,plain,(
% 0.12/0.41 ![X0]: (~next(e_1,X0)|equalish(e_1,X0)|~sQ84_spl)),
% 0.12/0.41 inference(component_clause,[status(thm)],[f408])).
% 0.12/0.41 fof(f411,plain,(
% 0.12/0.41 sQ83_spl|sQ84_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f404,f405,f408])).
% 0.12/0.41 fof(f412,plain,(
% 0.12/0.41 equalish(e_1,e_2)|~sQ84_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f409,f45])).
% 0.12/0.41 fof(f413,plain,(
% 0.12/0.41 $false|~sQ84_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f412,f73])).
% 0.12/0.41 fof(f414,plain,(
% 0.12/0.41 ~sQ84_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f413])).
% 0.12/0.41 fof(f415,plain,(
% 0.12/0.41 ~greater(e_3,e_0)|~sQ11_spl|~sQ83_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f139,f406])).
% 0.12/0.41 fof(f419,plain,(
% 0.12/0.41 $false|~sQ11_spl|~sQ83_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f415,f50])).
% 0.12/0.41 fof(f420,plain,(
% 0.12/0.41 ~sQ11_spl|~sQ83_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f419])).
% 0.12/0.41 fof(f421,plain,(
% 0.12/0.41 ~greater(e_2,e_0)|~sQ10_spl|~sQ83_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f136,f406])).
% 0.12/0.41 fof(f425,plain,(
% 0.12/0.41 $false|~sQ10_spl|~sQ83_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f421,f49])).
% 0.12/0.41 fof(f426,plain,(
% 0.12/0.41 ~sQ10_spl|~sQ83_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f425])).
% 0.12/0.41 fof(f427,plain,(
% 0.12/0.41 ~greater(e_1,e_0)|~sQ9_spl|~sQ83_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f133,f406])).
% 0.12/0.41 fof(f431,plain,(
% 0.12/0.41 $false|~sQ9_spl|~sQ83_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f427,f48])).
% 0.12/0.41 fof(f432,plain,(
% 0.12/0.41 ~sQ9_spl|~sQ83_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f431])).
% 0.12/0.41 fof(f472,plain,(
% 0.12/0.41 ![X0]: (~next(e_3,e_4)|~greater(e_3,e_0)|~next(e_0,X0)|equalish(e_3,X0)|~sQ3_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f388,f113])).
% 0.12/0.41 fof(f473,plain,(
% 0.12/0.41 ![X0]: (~next(e_2,e_4)|~greater(e_1,e_0)|~next(e_0,X0)|equalish(e_1,X0)|~sQ5_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f388,f120])).
% 0.12/0.41 fof(f474,plain,(
% 0.12/0.41 ![X0]: (~next(e_2,e_4)|~greater(e_2,e_0)|~next(e_0,X0)|equalish(e_2,X0)|~sQ6_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f388,f123])).
% 0.12/0.41 fof(f475,plain,(
% 0.12/0.41 ![X0]: (~next(e_2,e_4)|~greater(e_3,e_0)|~next(e_0,X0)|equalish(e_3,X0)|~sQ7_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f388,f126])).
% 0.12/0.41 fof(f480,definition,(
% 0.12/0.41 sQ87_spl <=> (next(e_3,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f482,plain,(
% 0.12/0.41 ~next(e_3,e_4)|sQ87_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f480])).
% 0.12/0.41 fof(f483,definition,(
% 0.12/0.41 sQ88_spl <=> (greater(e_3,e_0))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f485,plain,(
% 0.12/0.41 ~greater(e_3,e_0)|sQ88_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f483])).
% 0.12/0.41 fof(f486,definition,(
% 0.12/0.41 ![X0]: (sQ89_spl <=> (~next(e_0,X0)|equalish(e_3,X0)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f489,plain,(
% 0.12/0.41 ~sQ87_spl|~sQ88_spl|sQ89_spl|~sQ3_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f472,f480,f483,f486,f112])).
% 0.12/0.41 fof(f490,definition,(
% 0.12/0.41 sQ90_spl <=> (next(e_2,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f493,definition,(
% 0.12/0.41 sQ91_spl <=> (greater(e_1,e_0))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f495,plain,(
% 0.12/0.41 ~greater(e_1,e_0)|sQ91_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f493])).
% 0.12/0.41 fof(f496,definition,(
% 0.12/0.41 ![X0]: (sQ92_spl <=> (~next(e_0,X0)|equalish(e_1,X0)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f499,plain,(
% 0.12/0.41 ~sQ90_spl|~sQ91_spl|sQ92_spl|~sQ5_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f473,f490,f493,f496,f119])).
% 0.12/0.41 fof(f500,definition,(
% 0.12/0.41 sQ93_spl <=> (greater(e_2,e_0))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f502,plain,(
% 0.12/0.41 ~greater(e_2,e_0)|sQ93_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f500])).
% 0.12/0.41 fof(f503,definition,(
% 0.12/0.41 ![X0]: (sQ94_spl <=> (~next(e_0,X0)|equalish(e_2,X0)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f506,plain,(
% 0.12/0.41 ~sQ90_spl|~sQ93_spl|sQ94_spl|~sQ6_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f474,f490,f500,f503,f122])).
% 0.12/0.41 fof(f507,plain,(
% 0.12/0.41 ~sQ90_spl|~sQ88_spl|sQ89_spl|~sQ7_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f475,f490,f483,f486,f125])).
% 0.12/0.41 fof(f518,plain,(
% 0.12/0.41 $false|sQ88_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f485,f50])).
% 0.12/0.41 fof(f519,plain,(
% 0.12/0.41 sQ88_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f518])).
% 0.12/0.41 fof(f520,plain,(
% 0.12/0.41 $false|sQ93_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f502,f49])).
% 0.12/0.41 fof(f521,plain,(
% 0.12/0.41 sQ93_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f520])).
% 0.12/0.41 fof(f522,plain,(
% 0.12/0.41 $false|sQ91_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f495,f48])).
% 0.12/0.41 fof(f523,plain,(
% 0.12/0.41 sQ91_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f522])).
% 0.12/0.41 fof(f524,plain,(
% 0.12/0.41 $false|sQ87_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f482,f47])).
% 0.12/0.41 fof(f525,plain,(
% 0.12/0.41 sQ87_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f524])).
% 0.12/0.41 fof(f526,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_2)|~greater(e_4,X0)|~greater(X1,e_3)|~sQ7_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f390,f126])).
% 0.12/0.41 fof(f531,definition,(
% 0.12/0.41 ![X0,X1]: (sQ97_spl <=> (~cycle(X0,X1)|~greater(e_4,X0)|~greater(X1,e_3)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f534,definition,(
% 0.12/0.41 sQ98_spl <=> (next(e_4,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f537,plain,(
% 0.12/0.41 sQ97_spl|~sQ98_spl|~sQ7_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f526,f531,f534,f125])).
% 0.12/0.41 fof(f538,definition,(
% 0.12/0.41 ![X0,X1]: (sQ99_spl <=> (~cycle(X0,X1)|~greater(e_4,X0)|~greater(X1,e_1)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f542,definition,(
% 0.12/0.41 ![X0,X1]: (sQ100_spl <=> (~cycle(X0,X1)|~greater(e_4,X0)|~greater(X1,e_2)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f549,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_1,e_1)|~greater(e_1,X0)|~greater(X1,e_0)|~sQ8_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f130,f65])).
% 0.12/0.41 fof(f551,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_1)|~greater(e_4,X0)|~greater(X1,e_0)|~sQ8_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f130,f390])).
% 0.12/0.41 fof(f557,definition,(
% 0.12/0.41 ![X0,X1]: (sQ101_spl <=> (~cycle(X0,X1)|~greater(e_1,X0)|~greater(X1,e_0)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f560,definition,(
% 0.12/0.41 sQ102_spl <=> (next(e_1,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f563,plain,(
% 0.12/0.41 sQ101_spl|~sQ102_spl|~sQ8_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f549,f557,f560,f129])).
% 0.12/0.41 fof(f564,definition,(
% 0.12/0.41 sQ103_spl <=> (next(e_4,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f567,plain,(
% 0.12/0.41 sQ80_spl|~sQ103_spl|~sQ8_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f551,f392,f564,f129])).
% 0.12/0.41 fof(f568,definition,(
% 0.12/0.41 sQ104_spl <=> (next(e_1,e_4))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f573,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_1,e_4)|~greater(e_1,X0)|~greater(X1,e_0)|~sQ8_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f391,f130])).
% 0.12/0.41 fof(f575,plain,(
% 0.12/0.41 sQ101_spl|~sQ104_spl|~sQ8_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f573,f557,f568,f129])).
% 0.12/0.41 fof(f579,definition,(
% 0.12/0.41 sQ105_spl <=> (greater(e_4,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f581,plain,(
% 0.12/0.41 ~greater(e_4,e_1)|sQ105_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f579])).
% 0.12/0.41 fof(f587,plain,(
% 0.12/0.41 $false|sQ105_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f581,f54])).
% 0.12/0.41 fof(f588,plain,(
% 0.12/0.41 sQ105_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f587])).
% 0.12/0.41 fof(f590,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_3)|~greater(e_4,X0)|~greater(X1,e_2)|~sQ2_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f110,f390])).
% 0.12/0.41 fof(f591,plain,(
% 0.12/0.41 ![X0]: (~next(e_3,e_4)|~greater(e_2,e_0)|~next(e_0,X0)|equalish(e_2,X0)|~sQ2_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f110,f388])).
% 0.12/0.41 fof(f595,definition,(
% 0.12/0.41 sQ107_spl <=> (greater(e_4,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f597,plain,(
% 0.12/0.41 ~greater(e_4,e_3)|sQ107_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f595])).
% 0.12/0.41 fof(f599,definition,(
% 0.12/0.41 sQ108_spl <=> (next(e_4,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f602,plain,(
% 0.12/0.41 sQ100_spl|~sQ108_spl|~sQ2_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f590,f542,f599,f109])).
% 0.12/0.41 fof(f603,plain,(
% 0.12/0.41 ~sQ87_spl|~sQ93_spl|sQ94_spl|~sQ2_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f591,f480,f500,f503,f109])).
% 0.12/0.41 fof(f604,plain,(
% 0.12/0.41 $false|sQ107_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f597,f57])).
% 0.12/0.41 fof(f605,plain,(
% 0.12/0.41 sQ107_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f604])).
% 0.12/0.41 fof(f607,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_3)|~greater(e_4,X0)|~greater(X1,e_1)|~sQ1_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f107,f390])).
% 0.12/0.41 fof(f608,plain,(
% 0.12/0.41 ![X0]: (~next(e_3,e_4)|~greater(e_1,e_0)|~next(e_0,X0)|equalish(e_1,X0)|~sQ1_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f107,f388])).
% 0.12/0.41 fof(f613,plain,(
% 0.12/0.41 sQ99_spl|~sQ108_spl|~sQ1_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f607,f538,f599,f106])).
% 0.12/0.41 fof(f614,plain,(
% 0.12/0.41 ~sQ87_spl|~sQ91_spl|sQ92_spl|~sQ1_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f608,f480,f493,f496,f106])).
% 0.12/0.41 fof(f615,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_3,e_4)|~greater(e_3,X0)|~greater(X1,e_0)|~sQ0_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f104,f391])).
% 0.12/0.41 fof(f619,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_3)|~greater(e_4,X0)|~greater(X1,e_0)|~sQ0_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f104,f390])).
% 0.12/0.41 fof(f625,definition,(
% 0.12/0.41 ![X0,X1]: (sQ109_spl <=> (~cycle(X0,X1)|~greater(e_3,X0)|~greater(X1,e_0)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f628,plain,(
% 0.12/0.41 sQ109_spl|~sQ87_spl|~sQ0_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f615,f625,f480,f103])).
% 0.12/0.41 fof(f634,plain,(
% 0.12/0.41 sQ80_spl|~sQ108_spl|~sQ0_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f619,f392,f599,f103])).
% 0.12/0.41 fof(f637,plain,(
% 0.12/0.41 ~greater(e_4,e_2)|~greater(e_2,e_0)|~sQ6_spl|~sQ80_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f123,f393])).
% 0.12/0.41 fof(f638,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_2)|~greater(e_4,X0)|~greater(X1,e_2)|~sQ6_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f123,f390])).
% 0.12/0.41 fof(f643,definition,(
% 0.12/0.41 sQ111_spl <=> (greater(e_4,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f645,plain,(
% 0.12/0.41 ~greater(e_4,e_2)|sQ111_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f643])).
% 0.12/0.41 fof(f646,plain,(
% 0.12/0.41 ~sQ111_spl|~sQ93_spl|~sQ6_spl|~sQ80_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f637,f643,f500,f122,f392])).
% 0.12/0.41 fof(f647,plain,(
% 0.12/0.41 sQ100_spl|~sQ98_spl|~sQ6_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f638,f542,f534,f122])).
% 0.12/0.41 fof(f649,plain,(
% 0.12/0.41 $false|sQ111_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f645,f56])).
% 0.12/0.41 fof(f650,plain,(
% 0.12/0.41 sQ111_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f649])).
% 0.12/0.41 fof(f667,plain,(
% 0.12/0.41 ~greater(e_4,e_2)|~greater(e_3,e_0)|~sQ7_spl|~sQ80_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f126,f393])).
% 0.12/0.41 fof(f673,plain,(
% 0.12/0.41 ~sQ111_spl|~sQ88_spl|~sQ7_spl|~sQ80_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f667,f643,f483,f125,f392])).
% 0.12/0.41 fof(f693,plain,(
% 0.12/0.41 ~cycle(e_3,e_0)|~greater(e_4,e_3)|~sQ23_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f184,f66])).
% 0.12/0.41 fof(f705,plain,(
% 0.12/0.41 ~sQ0_spl|~sQ107_spl|~sQ23_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f693,f103,f595,f183])).
% 0.12/0.41 fof(f708,plain,(
% 0.12/0.41 equalish(e_1,e_3)|~sQ22_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f181,f98])).
% 0.12/0.41 fof(f721,plain,(
% 0.12/0.41 $false|~sQ22_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f708,f74])).
% 0.12/0.41 fof(f722,plain,(
% 0.12/0.41 ~sQ22_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f721])).
% 0.12/0.41 fof(f724,plain,(
% 0.12/0.41 ~cycle(e_3,e_0)|~greater(e_2,e_3)|~sQ21_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f178,f66])).
% 0.12/0.41 fof(f725,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_1,e_2)|equalish(X0,e_3)|~sQ21_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f178,f91])).
% 0.12/0.41 fof(f733,definition,(
% 0.12/0.41 sQ117_spl <=> (greater(e_2,e_3))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f736,plain,(
% 0.12/0.41 ~sQ0_spl|~sQ117_spl|~sQ21_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f724,f103,f733,f177])).
% 0.12/0.41 fof(f739,plain,(
% 0.12/0.41 equalish(e_3,e_1)|~sQ20_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f175,f99])).
% 0.12/0.41 fof(f752,plain,(
% 0.12/0.41 $false|~sQ20_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f739,f79])).
% 0.12/0.41 fof(f753,plain,(
% 0.12/0.41 ~sQ20_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f752])).
% 0.12/0.41 fof(f754,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_2,e_4)|equalish(X0,e_3)|~sQ19_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f171,f91])).
% 0.12/0.41 fof(f757,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_3,X0)|product(X0,e_4,e_3)|~sQ19_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f171,f94])).
% 0.12/0.41 fof(f762,plain,(
% 0.12/0.41 equalish(e_2,e_3)|~sQ18_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f168,f98])).
% 0.12/0.41 fof(f770,plain,(
% 0.12/0.41 equalish(e_3,e_2)|~sQ17_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f165,f99])).
% 0.12/0.41 fof(f780,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,e_3,X0)|product(X0,e_1,e_3)|~sQ16_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f162,f94])).
% 0.12/0.41 fof(f787,plain,(
% 0.12/0.41 equalish(e_4,e_3)|~sQ15_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f158,f95])).
% 0.12/0.41 fof(f790,plain,(
% 0.12/0.41 $false|~sQ15_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f787,f84])).
% 0.12/0.41 fof(f791,plain,(
% 0.12/0.41 ~sQ15_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f790])).
% 0.12/0.41 fof(f792,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(e_2,X0)|~greater(X0,e_0)|~next(e_2,X1)|equalish(e_4,X1)|~sQ35_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f226,f68])).
% 0.12/0.41 fof(f793,plain,(
% 0.12/0.41 ~cycle(e_2,e_0)|~greater(e_4,e_2)|~sQ35_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f226,f66])).
% 0.12/0.41 fof(f798,definition,(
% 0.12/0.41 ![X0]: (sQ120_spl <=> (~cycle(e_2,X0)|~greater(X0,e_0)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f801,definition,(
% 0.12/0.41 ![X1]: (sQ121_spl <=> (~next(e_2,X1)|equalish(e_4,X1)))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f804,plain,(
% 0.12/0.41 sQ120_spl|sQ121_spl|~sQ35_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f792,f798,f801,f225])).
% 0.12/0.41 fof(f805,plain,(
% 0.12/0.41 ~sQ4_spl|~sQ111_spl|~sQ35_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f793,f116,f643,f225])).
% 0.12/0.41 fof(f807,plain,(
% 0.12/0.41 ~cycle(e_2,e_0)|~greater(e_3,e_2)|~sQ34_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f223,f66])).
% 0.12/0.41 fof(f809,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,X0,e_3)|equalish(X0,e_1)|~sQ34_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f223,f89])).
% 0.12/0.41 fof(f816,definition,(
% 0.12/0.41 sQ123_spl <=> (greater(e_3,e_2))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f818,plain,(
% 0.12/0.41 ~greater(e_3,e_2)|sQ123_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f816])).
% 0.12/0.41 fof(f819,plain,(
% 0.12/0.41 ~sQ4_spl|~sQ123_spl|~sQ34_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f807,f116,f816,f222])).
% 0.12/0.41 fof(f820,plain,(
% 0.12/0.41 $false|sQ123_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f818,f55])).
% 0.12/0.41 fof(f821,plain,(
% 0.12/0.41 sQ123_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f820])).
% 0.12/0.41 fof(f825,plain,(
% 0.12/0.41 equalish(e_1,e_2)|~sQ33_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f220,f98])).
% 0.12/0.41 fof(f834,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ32_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f217,f99])).
% 0.12/0.41 fof(f847,plain,(
% 0.12/0.41 $false|~sQ32_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f834,f76])).
% 0.12/0.41 fof(f848,plain,(
% 0.12/0.41 ~sQ32_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f847])).
% 0.12/0.41 fof(f857,plain,(
% 0.12/0.41 $false|~sQ33_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f825,f73])).
% 0.12/0.41 fof(f858,plain,(
% 0.12/0.41 ~sQ33_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f857])).
% 0.12/0.41 fof(f875,plain,(
% 0.12/0.41 ~greater(e_4,e_2)|~greater(e_1,e_0)|~sQ5_spl|~sQ80_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f120,f393])).
% 0.12/0.41 fof(f876,plain,(
% 0.12/0.41 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,e_2)|~greater(e_4,X0)|~greater(X1,e_1)|~sQ5_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f120,f390])).
% 0.12/0.41 fof(f881,plain,(
% 0.12/0.41 ~sQ111_spl|~sQ91_spl|~sQ5_spl|~sQ80_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f875,f643,f493,f119,f392])).
% 0.12/0.41 fof(f882,plain,(
% 0.12/0.41 sQ99_spl|~sQ98_spl|~sQ5_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f876,f538,f534,f119])).
% 0.12/0.41 fof(f894,plain,(
% 0.12/0.41 equalish(e_4,e_2)|~sQ31_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f213,f95])).
% 0.12/0.41 fof(f897,plain,(
% 0.12/0.41 $false|~sQ31_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f894,f83])).
% 0.12/0.41 fof(f898,plain,(
% 0.12/0.41 ~sQ31_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f897])).
% 0.12/0.41 fof(f918,plain,(
% 0.12/0.41 ![X0]: (~product(X0,e_3,e_4)|equalish(X0,e_2)|~sQ27_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f200,f91])).
% 0.12/0.41 fof(f921,plain,(
% 0.12/0.41 ![X0]: (~product(e_3,e_2,X0)|product(X0,e_4,e_2)|~sQ27_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f200,f94])).
% 0.12/0.41 fof(f922,plain,(
% 0.12/0.41 product(e_1,e_4,e_2)|~sQ27_spl|~sQ16_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f921,f162])).
% 0.12/0.41 fof(f929,plain,(
% 0.12/0.41 equalish(e_2,e_3)|~sQ26_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f197,f99])).
% 0.12/0.41 fof(f937,plain,(
% 0.12/0.41 equalish(e_3,e_2)|~sQ25_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f194,f98])).
% 0.12/0.41 fof(f942,plain,(
% 0.12/0.41 $false|~sQ25_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f937,f80])).
% 0.12/0.41 fof(f943,plain,(
% 0.12/0.41 ~sQ25_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f942])).
% 0.12/0.41 fof(f944,plain,(
% 0.12/0.41 product(e_1,e_1,e_3)|~sQ24_spl|~sQ16_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f191,f780])).
% 0.12/0.41 fof(f946,plain,(
% 0.12/0.41 ![X0]: (~product(e_2,X0,e_1)|equalish(X0,e_3)|~sQ24_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f191,f89])).
% 0.12/0.41 fof(f958,plain,(
% 0.12/0.41 equalish(e_4,e_1)|~sQ47_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f268,f95])).
% 0.12/0.41 fof(f966,plain,(
% 0.12/0.41 $false|~sQ47_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f958,f82])).
% 0.12/0.41 fof(f967,plain,(
% 0.12/0.41 ~sQ47_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f966])).
% 0.12/0.41 fof(f974,plain,(
% 0.12/0.41 equalish(e_3,e_1)|~sQ46_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f265,f95])).
% 0.12/0.41 fof(f979,plain,(
% 0.12/0.41 sQ46_spl|~sQ24_spl|~sQ16_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f944,f264,f190,f161])).
% 0.12/0.41 fof(f980,plain,(
% 0.12/0.41 $false|~sQ18_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f762,f77])).
% 0.12/0.41 fof(f981,plain,(
% 0.12/0.41 ~sQ18_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f980])).
% 0.12/0.41 fof(f982,plain,(
% 0.12/0.41 $false|~sQ17_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f770,f80])).
% 0.12/0.41 fof(f983,plain,(
% 0.12/0.41 ~sQ17_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f982])).
% 0.12/0.41 fof(f984,plain,(
% 0.12/0.41 product(e_1,e_4,e_3)|~sQ19_spl|~sQ24_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f757,f191])).
% 0.12/0.41 fof(f985,plain,(
% 0.12/0.41 equalish(e_1,e_3)|~sQ45_spl|~sQ21_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f262,f725])).
% 0.12/0.41 fof(f994,plain,(
% 0.12/0.41 $false|~sQ45_spl|~sQ21_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f985,f74])).
% 0.12/0.41 fof(f995,plain,(
% 0.12/0.41 ~sQ45_spl|~sQ21_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f994])).
% 0.12/0.41 fof(f997,plain,(
% 0.12/0.41 equalish(e_1,e_3)|~sQ43_spl|~sQ19_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f255,f754])).
% 0.12/0.41 fof(f1002,plain,(
% 0.12/0.41 $false|~sQ43_spl|~sQ19_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f997,f74])).
% 0.12/0.41 fof(f1003,plain,(
% 0.12/0.41 ~sQ43_spl|~sQ19_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1002])).
% 0.12/0.41 fof(f1006,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,X0,e_3)|equalish(X0,e_2)|~sQ42_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f252,f89])).
% 0.12/0.41 fof(f1014,plain,(
% 0.12/0.41 equalish(e_1,e_2)|~sQ41_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f249,f99])).
% 0.12/0.41 fof(f1022,plain,(
% 0.12/0.41 equalish(e_2,e_1)|~sQ40_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f246,f98])).
% 0.12/0.41 fof(f1027,plain,(
% 0.12/0.41 $false|~sQ40_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1022,f76])).
% 0.12/0.41 fof(f1028,plain,(
% 0.12/0.41 ~sQ40_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1027])).
% 0.12/0.41 fof(f1030,plain,(
% 0.12/0.41 $false|~sQ41_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1014,f73])).
% 0.12/0.41 fof(f1031,plain,(
% 0.12/0.41 ~sQ41_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1030])).
% 0.12/0.41 fof(f1041,plain,(
% 0.12/0.41 equalish(e_1,e_3)|~sQ38_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f239,f99])).
% 0.12/0.41 fof(f1051,plain,(
% 0.12/0.41 ![X0]: (~product(e_1,X0,e_2)|equalish(X0,e_3)|~sQ37_spl)),
% 0.12/0.41 inference(resolution,[status(thm)],[f236,f89])).
% 0.12/0.41 fof(f1056,plain,(
% 0.12/0.41 equalish(e_3,e_1)|~sQ36_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f233,f98])).
% 0.12/0.41 fof(f1066,plain,(
% 0.12/0.41 equalish(e_3,e_4)|~sQ59_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f315,f99])).
% 0.12/0.41 fof(f1071,plain,(
% 0.12/0.41 $false|~sQ59_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1066,f81])).
% 0.12/0.41 fof(f1072,plain,(
% 0.12/0.41 ~sQ59_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1071])).
% 0.12/0.41 fof(f1073,plain,(
% 0.12/0.41 equalish(e_4,e_3)|~sQ58_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f312,f98])).
% 0.12/0.41 fof(f1078,plain,(
% 0.12/0.41 $false|~sQ58_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1073,f84])).
% 0.12/0.41 fof(f1079,plain,(
% 0.12/0.41 ~sQ58_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1078])).
% 0.12/0.41 fof(f1099,plain,(
% 0.12/0.41 equalish(e_2,e_4)|~sQ55_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f302,f99])).
% 0.12/0.41 fof(f1104,plain,(
% 0.12/0.41 $false|~sQ55_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1099,f78])).
% 0.12/0.41 fof(f1105,plain,(
% 0.12/0.41 ~sQ55_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1104])).
% 0.12/0.41 fof(f1106,plain,(
% 0.12/0.41 equalish(e_4,e_1)|~sQ54_spl|~sQ34_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f299,f809])).
% 0.12/0.41 fof(f1111,plain,(
% 0.12/0.41 $false|~sQ54_spl|~sQ34_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1106,f82])).
% 0.12/0.41 fof(f1112,plain,(
% 0.12/0.41 ~sQ54_spl|~sQ34_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1111])).
% 0.12/0.41 fof(f1113,plain,(
% 0.12/0.41 equalish(e_4,e_2)|~sQ53_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f296,f98])).
% 0.12/0.41 fof(f1118,plain,(
% 0.12/0.41 $false|~sQ53_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1113,f83])).
% 0.12/0.41 fof(f1119,plain,(
% 0.12/0.41 ~sQ53_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1118])).
% 0.12/0.41 fof(f1120,plain,(
% 0.12/0.41 equalish(e_4,e_3)|~sQ52_spl|~sQ24_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f293,f946])).
% 0.12/0.41 fof(f1126,plain,(
% 0.12/0.41 $false|~sQ52_spl|~sQ24_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1120,f84])).
% 0.12/0.41 fof(f1127,plain,(
% 0.12/0.41 ~sQ52_spl|~sQ24_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1126])).
% 0.12/0.41 fof(f1133,plain,(
% 0.12/0.41 equalish(e_1,e_2)|~sQ27_spl|~sQ39_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f918,f242])).
% 0.12/0.41 fof(f1134,plain,(
% 0.12/0.41 $false|~sQ27_spl|~sQ39_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1133,f73])).
% 0.12/0.41 fof(f1135,plain,(
% 0.12/0.41 ~sQ27_spl|~sQ39_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1134])).
% 0.12/0.41 fof(f1136,plain,(
% 0.12/0.41 $false|~sQ36_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1056,f79])).
% 0.12/0.41 fof(f1137,plain,(
% 0.12/0.41 ~sQ36_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1136])).
% 0.12/0.41 fof(f1138,plain,(
% 0.12/0.41 $false|~sQ38_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1041,f74])).
% 0.12/0.41 fof(f1139,plain,(
% 0.12/0.41 ~sQ38_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1138])).
% 0.12/0.41 fof(f1140,plain,(
% 0.12/0.41 equalish(e_1,e_4)|~sQ51_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f289,f99])).
% 0.12/0.41 fof(f1145,plain,(
% 0.12/0.41 $false|~sQ51_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1140,f75])).
% 0.12/0.41 fof(f1146,plain,(
% 0.12/0.41 ~sQ51_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1145])).
% 0.12/0.41 fof(f1147,plain,(
% 0.12/0.41 equalish(e_4,e_2)|~sQ50_spl|~sQ42_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f286,f1006])).
% 0.12/0.41 fof(f1152,plain,(
% 0.12/0.41 $false|~sQ50_spl|~sQ42_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1147,f83])).
% 0.12/0.41 fof(f1153,plain,(
% 0.12/0.41 ~sQ50_spl|~sQ42_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1152])).
% 0.12/0.41 fof(f1154,plain,(
% 0.12/0.41 equalish(e_4,e_3)|~sQ49_spl|~sQ37_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f283,f1051])).
% 0.12/0.41 fof(f1160,plain,(
% 0.12/0.41 $false|~sQ49_spl|~sQ37_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1154,f84])).
% 0.12/0.41 fof(f1161,plain,(
% 0.12/0.41 ~sQ49_spl|~sQ37_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1160])).
% 0.12/0.41 fof(f1162,plain,(
% 0.12/0.41 sQ49_spl|~sQ27_spl|~sQ16_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f922,f282,f199,f161])).
% 0.12/0.41 fof(f1164,plain,(
% 0.12/0.41 equalish(e_4,e_1)|~sQ48_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f280,f98])).
% 0.12/0.41 fof(f1171,plain,(
% 0.12/0.41 sQ50_spl|~sQ19_spl|~sQ24_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f984,f285,f170,f190])).
% 0.12/0.41 fof(f1177,definition,(
% 0.12/0.41 sQ130_spl <=> (greater(e_3,e_1))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f1179,plain,(
% 0.12/0.41 ~greater(e_3,e_1)|sQ130_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f1177])).
% 0.12/0.41 fof(f1182,plain,(
% 0.12/0.41 $false|~sQ46_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f974,f79])).
% 0.12/0.41 fof(f1183,plain,(
% 0.12/0.41 ~sQ46_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1182])).
% 0.12/0.41 fof(f1184,plain,(
% 0.12/0.41 $false|sQ130_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1179,f53])).
% 0.12/0.41 fof(f1185,plain,(
% 0.12/0.41 sQ130_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1184])).
% 0.12/0.41 fof(f1186,plain,(
% 0.12/0.41 $false|~sQ48_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1164,f82])).
% 0.12/0.41 fof(f1187,plain,(
% 0.12/0.41 ~sQ48_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1186])).
% 0.12/0.41 fof(f1188,plain,(
% 0.12/0.41 $false|~sQ26_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f929,f77])).
% 0.12/0.41 fof(f1189,plain,(
% 0.12/0.41 ~sQ26_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1188])).
% 0.12/0.41 fof(f1190,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f115,f128,f141,f173,f186,f202,f228,f244,f257,f270,f291,f304,f398,f403,f411,f414,f420,f426,f432,f489,f499,f506,f507,f519,f521,f523,f525,f537,f563,f567,f575,f588,f602,f603,f605,f613,f614,f628,f634,f646,f647,f650,f673,f705,f722,f736,f753,f791,f804,f805,f819,f821,f848,f858,f881,f882,f898,f943,f967,f979,f981,f983,f995,f1003,f1028,f1031,f1072,f1079,f1105,f1112,f1119,f1127,f1135,f1137,f1139,f1146,f1153,f1161,f1162,f1171,f1183,f1185,f1187,f1189])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.064031 seconds
% 0.12/0.43 % CPU time: 0.281070 seconds
% 0.12/0.43 % Total memory used: 19.456 MB
% 0.12/0.43 % Net memory used: 19.284 MB
%------------------------------------------------------------------------------