%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP124-8.004 : 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 : n026.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 12:35:48 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-8.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:01:52 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 next(e_0,e_1) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,axiom,(
% 0.12/0.39 next(e_3,e_4) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 greater(e_1,e_0) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,axiom,(
% 0.12/0.39 greater(e_2,e_0) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,axiom,(
% 0.12/0.39 greater(e_3,e_0) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f16,axiom,(
% 0.12/0.39 (![X]: (( ~ group_element(X)| cycle(X,e_0)| cycle(X,e_1)| cycle(X,e_2)| cycle(X,e_3) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f17,axiom,(
% 0.12/0.39 cycle(e_4,e_0) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f18,axiom,(
% 0.12/0.39 (![X,Y,W,Z,Z1]: (( ~ cycle(X,Y)| ~ cycle(W,Z)| ~ next(X,W)| ~ greater(Y,e_0)| ~ next(Z,Z1)| equalish(Y,Z1) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f19,axiom,(
% 0.12/0.39 (![X,Z1,Y,W,Z2]: (( ~ cycle(X,Z1)| ~ cycle(Y,e_0)| ~ cycle(W,Z2)| ~ next(Y,W)| ~ greater(Y,X)| ~ greater(Z1,Z2) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f22,axiom,(
% 0.12/0.39 group_element(e_1) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f23,axiom,(
% 0.12/0.39 group_element(e_2) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f24,axiom,(
% 0.12/0.39 group_element(e_3) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f25,axiom,(
% 0.12/0.39 group_element(e_4) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f26,axiom,(
% 0.12/0.39 ~ equalish(e_1,e_2) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f27,axiom,(
% 0.12/0.39 ~ equalish(e_1,e_3) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f28,axiom,(
% 0.12/0.39 ~ equalish(e_1,e_4) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f29,axiom,(
% 0.12/0.39 ~ equalish(e_2,e_1) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,axiom,(
% 0.12/0.39 ~ equalish(e_2,e_3) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f31,axiom,(
% 0.12/0.39 ~ equalish(e_2,e_4) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f32,axiom,(
% 0.12/0.39 ~ equalish(e_3,e_1) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,axiom,(
% 0.12/0.39 ~ equalish(e_3,e_4) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f38,axiom,(
% 0.12/0.39 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product1(X,Y,e_1)| product1(X,Y,e_2)| product1(X,Y,e_3)| product1(X,Y,e_4) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f39,axiom,(
% 0.12/0.39 (![X,Y,W,Z]: (( ~ product1(X,Y,W)| ~ product1(X,Y,Z)| equalish(W,Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f40,axiom,(
% 0.12/0.39 (![X,W,Y,Z]: (( ~ product1(X,W,Y)| ~ product1(X,Z,Y)| equalish(W,Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f41,axiom,(
% 0.12/0.39 (![W,Y,X,Z]: (( ~ product1(W,Y,X)| ~ product1(Z,Y,X)| equalish(W,Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f42,axiom,(
% 0.12/0.39 (![X]: (product1(X,X,X) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f43,axiom,(
% 0.12/0.39 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product2(X,Y,e_1)| product2(X,Y,e_2)| product2(X,Y,e_3)| product2(X,Y,e_4) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f44,axiom,(
% 0.12/0.39 (![X,Y,W,Z]: (( ~ product2(X,Y,W)| ~ product2(X,Y,Z)| equalish(W,Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f45,axiom,(
% 0.12/0.39 (![X,W,Y,Z]: (( ~ product2(X,W,Y)| ~ product2(X,Z,Y)| equalish(W,Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f46,axiom,(
% 0.12/0.39 (![W,Y,X,Z]: (( ~ product2(W,Y,X)| ~ product2(Z,Y,X)| equalish(W,Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f47,axiom,(
% 0.12/0.39 (![X]: (product2(X,X,X) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f48,negated_conjecture,(
% 0.12/0.39 (![X,Y,Z1,Z2]: (( ~ product1(X,Y,Z1)| ~ product1(Z1,X,Z2)| product2(Z2,Y,X) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 next(e_0,e_1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f52,plain,(
% 0.12/0.39 next(e_3,e_4)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f53,plain,(
% 0.12/0.39 greater(e_1,e_0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f54,plain,(
% 0.12/0.39 greater(e_2,e_0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 greater(e_3,e_0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 ![X0]: (~group_element(X0)|cycle(X0,e_0)|cycle(X0,e_1)|cycle(X0,e_2)|cycle(X0,e_3))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f66,plain,(
% 0.12/0.39 cycle(e_4,e_0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.39 fof(f67,plain,(
% 0.12/0.39 ![Y,Z1]: ((![Z]: (((![X,W]: ((~cycle(X,Y)|~cycle(W,Z))|~next(X,W)))|~greater(Y,e_0))|~next(Z,Z1)))|equalish(Y,Z1))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f18])).
% 0.12/0.39 fof(f68,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(X0,X2)|~greater(X1,e_0)|~next(X3,X4)|equalish(X1,X4))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f67])).
% 0.12/0.39 fof(f69,plain,(
% 0.12/0.39 ![Z1,Z2]: ((![X,Y]: ((![W]: (((~cycle(X,Z1)|~cycle(Y,e_0))|~cycle(W,Z2))|~next(Y,W)))|~greater(Y,X)))|~greater(Z1,Z2))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f19])).
% 0.12/0.39 fof(f70,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,e_0)|~cycle(X3,X4)|~next(X2,X3)|~greater(X2,X0)|~greater(X1,X4))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.39 fof(f74,plain,(
% 0.12/0.39 group_element(e_1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.39 fof(f75,plain,(
% 0.12/0.39 group_element(e_2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f76,plain,(
% 0.12/0.39 group_element(e_3)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.39 fof(f77,plain,(
% 0.12/0.39 group_element(e_4)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f78,plain,(
% 0.12/0.39 ~equalish(e_1,e_2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f79,plain,(
% 0.12/0.39 ~equalish(e_1,e_3)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.39 fof(f80,plain,(
% 0.12/0.39 ~equalish(e_1,e_4)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.39 fof(f81,plain,(
% 0.12/0.39 ~equalish(e_2,e_1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.39 fof(f82,plain,(
% 0.12/0.39 ~equalish(e_2,e_3)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.39 fof(f83,plain,(
% 0.12/0.39 ~equalish(e_2,e_4)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.39 fof(f84,plain,(
% 0.12/0.39 ~equalish(e_3,e_1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.39 fof(f86,plain,(
% 0.12/0.39 ~equalish(e_3,e_4)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.39 fof(f90,plain,(
% 0.12/0.39 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product1(X0,X1,e_1)|product1(X0,X1,e_2)|product1(X0,X1,e_3)|product1(X0,X1,e_4))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.39 fof(f91,plain,(
% 0.12/0.39 ![W,Z]: ((![X,Y]: (~product1(X,Y,W)|~product1(X,Y,Z)))|equalish(W,Z))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f39])).
% 0.12/0.39 fof(f92,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X0,X1,X3)|equalish(X2,X3))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f91])).
% 0.12/0.39 fof(f93,plain,(
% 0.12/0.39 ![W,Z]: ((![X,Y]: (~product1(X,W,Y)|~product1(X,Z,Y)))|equalish(W,Z))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f40])).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X0,X3,X2)|equalish(X1,X3))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f93])).
% 0.12/0.39 fof(f95,plain,(
% 0.12/0.39 ![W,Z]: ((![Y,X]: (~product1(W,Y,X)|~product1(Z,Y,X)))|equalish(W,Z))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f41])).
% 0.12/0.39 fof(f96,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X3,X1,X2)|equalish(X0,X3))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f95])).
% 0.12/0.39 fof(f97,plain,(
% 0.12/0.39 ![X0]: (product1(X0,X0,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product2(X0,X1,e_1)|product2(X0,X1,e_2)|product2(X0,X1,e_3)|product2(X0,X1,e_4))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f43])).
% 0.12/0.39 fof(f99,plain,(
% 0.12/0.39 ![W,Z]: ((![X,Y]: (~product2(X,Y,W)|~product2(X,Y,Z)))|equalish(W,Z))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f44])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~product2(X0,X1,X2)|~product2(X0,X1,X3)|equalish(X2,X3))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f99])).
% 0.12/0.39 fof(f101,plain,(
% 0.12/0.39 ![W,Z]: ((![X,Y]: (~product2(X,W,Y)|~product2(X,Z,Y)))|equalish(W,Z))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f45])).
% 0.12/0.39 fof(f102,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~product2(X0,X1,X2)|~product2(X0,X3,X2)|equalish(X1,X3))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f101])).
% 0.12/0.39 fof(f103,plain,(
% 0.12/0.39 ![W,Z]: ((![Y,X]: (~product2(W,Y,X)|~product2(Z,Y,X)))|equalish(W,Z))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f46])).
% 0.12/0.39 fof(f104,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~product2(X0,X1,X2)|~product2(X3,X1,X2)|equalish(X0,X3))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f103])).
% 0.12/0.39 fof(f105,plain,(
% 0.12/0.39 ![X0]: (product2(X0,X0,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f47])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 ![X,Y,Z2]: ((![Z1]: (~product1(X,Y,Z1)|~product1(Z1,X,Z2)))|product2(Z2,Y,X))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f48])).
% 0.12/0.39 fof(f107,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X2,X0,X3)|product2(X3,X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f106])).
% 0.12/0.39 fof(f110,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(e_1,X0,X1)|~product2(e_2,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f78,f104])).
% 0.12/0.39 fof(f111,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,e_1,X1)|~product2(X0,e_2,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f78,f102])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,X1,e_1)|~product2(X0,X1,e_2))),
% 0.12/0.39 inference(resolution,[status(thm)],[f78,f100])).
% 0.12/0.39 fof(f113,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(e_1,X0,X1)|~product1(e_2,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f78,f96])).
% 0.12/0.39 fof(f114,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,e_1,X1)|~product1(X0,e_2,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f78,f94])).
% 0.12/0.39 fof(f115,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,X1,e_1)|~product1(X0,X1,e_2))),
% 0.12/0.39 inference(resolution,[status(thm)],[f78,f92])).
% 0.12/0.39 fof(f116,plain,(
% 0.12/0.39 ~product2(e_2,e_1,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f110,f105])).
% 0.12/0.39 fof(f117,plain,(
% 0.12/0.39 ~product2(e_1,e_2,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f111,f105])).
% 0.12/0.39 fof(f118,plain,(
% 0.12/0.39 ~product2(e_1,e_1,e_2)),
% 0.12/0.39 inference(resolution,[status(thm)],[f112,f105])).
% 0.12/0.39 fof(f119,plain,(
% 0.12/0.39 ~product1(e_2,e_1,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f113,f97])).
% 0.12/0.39 fof(f120,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(e_1,X0,X1)|~product2(e_3,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f79,f104])).
% 0.12/0.39 fof(f121,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,e_1,X1)|~product2(X0,e_3,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f79,f102])).
% 0.12/0.39 fof(f122,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,X1,e_1)|~product2(X0,X1,e_3))),
% 0.12/0.39 inference(resolution,[status(thm)],[f79,f100])).
% 0.12/0.39 fof(f123,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(e_1,X0,X1)|~product1(e_3,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f79,f96])).
% 0.12/0.39 fof(f124,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,e_1,X1)|~product1(X0,e_3,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f79,f94])).
% 0.12/0.39 fof(f125,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,X1,e_1)|~product1(X0,X1,e_3))),
% 0.12/0.39 inference(resolution,[status(thm)],[f79,f92])).
% 0.12/0.39 fof(f126,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(e_1,X0,X1)|~product2(e_4,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f80,f104])).
% 0.12/0.39 fof(f127,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,e_1,X1)|~product2(X0,e_4,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f80,f102])).
% 0.12/0.39 fof(f128,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,X1,e_1)|~product2(X0,X1,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f80,f100])).
% 0.12/0.39 fof(f129,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(e_1,X0,X1)|~product1(e_4,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f80,f96])).
% 0.12/0.39 fof(f130,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,e_1,X1)|~product1(X0,e_4,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f80,f94])).
% 0.12/0.39 fof(f131,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,X1,e_1)|~product1(X0,X1,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f80,f92])).
% 0.12/0.39 fof(f138,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(e_2,X0,X1)|~product2(e_3,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f82,f104])).
% 0.12/0.39 fof(f139,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,e_2,X1)|~product2(X0,e_3,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f82,f102])).
% 0.12/0.39 fof(f140,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,X1,e_2)|~product2(X0,X1,e_3))),
% 0.12/0.39 inference(resolution,[status(thm)],[f82,f100])).
% 0.12/0.39 fof(f141,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(e_2,X0,X1)|~product1(e_3,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f82,f96])).
% 0.12/0.39 fof(f142,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,e_2,X1)|~product1(X0,e_3,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f82,f94])).
% 0.12/0.39 fof(f143,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,X1,e_2)|~product1(X0,X1,e_3))),
% 0.12/0.39 inference(resolution,[status(thm)],[f82,f92])).
% 0.12/0.39 fof(f144,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(e_2,X0,X1)|~product2(e_4,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f83,f104])).
% 0.12/0.39 fof(f145,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,e_2,X1)|~product2(X0,e_4,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f83,f102])).
% 0.12/0.39 fof(f146,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,X1,e_2)|~product2(X0,X1,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f83,f100])).
% 0.12/0.39 fof(f147,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(e_2,X0,X1)|~product1(e_4,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f83,f96])).
% 0.12/0.39 fof(f148,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,e_2,X1)|~product1(X0,e_4,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f83,f94])).
% 0.12/0.39 fof(f149,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,X1,e_2)|~product1(X0,X1,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f83,f92])).
% 0.12/0.39 fof(f162,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(e_3,X0,X1)|~product2(e_4,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f86,f104])).
% 0.12/0.39 fof(f163,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,e_3,X1)|~product2(X0,e_4,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f86,f102])).
% 0.12/0.39 fof(f164,plain,(
% 0.12/0.39 ![X0,X1]: (~product2(X0,X1,e_3)|~product2(X0,X1,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f86,f100])).
% 0.12/0.39 fof(f165,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(e_3,X0,X1)|~product1(e_4,X0,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f86,f96])).
% 0.12/0.39 fof(f166,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,e_3,X1)|~product1(X0,e_4,X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f86,f94])).
% 0.12/0.39 fof(f167,plain,(
% 0.12/0.39 ![X0,X1]: (~product1(X0,X1,e_3)|~product1(X0,X1,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f86,f92])).
% 0.12/0.39 fof(f176,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~cycle(X0,X1)|~next(X0,e_4)|~greater(X1,e_0)|~next(e_0,X2)|equalish(X1,X2))),
% 0.12/0.39 inference(resolution,[status(thm)],[f68,f66])).
% 0.12/0.39 fof(f178,plain,(
% 0.12/0.39 ~product1(e_1,e_2,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f114,f97])).
% 0.12/0.39 fof(f179,plain,(
% 0.12/0.39 ~product1(e_1,e_1,e_2)),
% 0.12/0.39 inference(resolution,[status(thm)],[f115,f97])).
% 0.12/0.39 fof(f180,plain,(
% 0.12/0.39 ~product2(e_3,e_1,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f120,f105])).
% 0.12/0.39 fof(f181,plain,(
% 0.12/0.39 ~product2(e_1,e_3,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f121,f105])).
% 0.12/0.39 fof(f182,plain,(
% 0.12/0.39 ~product2(e_1,e_1,e_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f122,f105])).
% 0.12/0.39 fof(f183,plain,(
% 0.12/0.39 ~product1(e_3,e_1,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f123,f97])).
% 0.12/0.39 fof(f225,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(X4,X2)|~greater(X4,X0)|~greater(X1,X3)|~group_element(X4)|cycle(X4,e_1)|cycle(X4,e_2)|cycle(X4,e_3))),
% 0.12/0.39 inference(resolution,[status(thm)],[f70,f65])).
% 0.12/0.39 fof(f226,plain,(
% 0.12/0.39 ~product1(e_1,e_3,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f124,f97])).
% 0.12/0.39 fof(f227,plain,(
% 0.12/0.39 ~product1(e_1,e_1,e_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f125,f97])).
% 0.12/0.39 fof(f228,plain,(
% 0.12/0.39 ~product2(e_4,e_1,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f126,f105])).
% 0.12/0.39 fof(f229,plain,(
% 0.12/0.39 ~product2(e_1,e_4,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f127,f105])).
% 0.12/0.39 fof(f230,plain,(
% 0.12/0.39 ~product2(e_1,e_1,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f128,f105])).
% 0.12/0.39 fof(f231,plain,(
% 0.12/0.39 ~product1(e_4,e_1,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f129,f97])).
% 0.12/0.39 fof(f232,plain,(
% 0.12/0.39 ~product1(e_1,e_4,e_1)),
% 0.12/0.39 inference(resolution,[status(thm)],[f130,f97])).
% 0.12/0.39 fof(f233,plain,(
% 0.12/0.39 ~product1(e_1,e_1,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f131,f97])).
% 0.12/0.39 fof(f234,plain,(
% 0.12/0.39 ~product2(e_3,e_2,e_2)),
% 0.12/0.39 inference(resolution,[status(thm)],[f138,f105])).
% 0.12/0.39 fof(f235,plain,(
% 0.12/0.39 ~product2(e_2,e_3,e_2)),
% 0.12/0.39 inference(resolution,[status(thm)],[f139,f105])).
% 0.12/0.39 fof(f236,plain,(
% 0.12/0.39 ![X0]: (~group_element(X0)|product1(X0,e_4,e_1)|product1(X0,e_4,e_2)|product1(X0,e_4,e_3)|product1(X0,e_4,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f90,f77])).
% 0.12/0.39 fof(f237,plain,(
% 0.12/0.39 ![X0]: (~group_element(X0)|product1(X0,e_3,e_1)|product1(X0,e_3,e_2)|product1(X0,e_3,e_3)|product1(X0,e_3,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f90,f76])).
% 0.12/0.39 fof(f238,plain,(
% 0.12/0.39 ![X0]: (~group_element(X0)|product1(X0,e_2,e_1)|product1(X0,e_2,e_2)|product1(X0,e_2,e_3)|product1(X0,e_2,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f90,f75])).
% 0.12/0.39 fof(f239,plain,(
% 0.12/0.39 ![X0]: (~group_element(X0)|product1(X0,e_1,e_1)|product1(X0,e_1,e_2)|product1(X0,e_1,e_3)|product1(X0,e_1,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f90,f74])).
% 0.12/0.39 fof(f243,plain,(
% 0.12/0.39 ![X0]: (~group_element(X0)|product2(X0,e_1,e_1)|product2(X0,e_1,e_2)|product2(X0,e_1,e_3)|product2(X0,e_1,e_4))),
% 0.12/0.39 inference(resolution,[status(thm)],[f98,f74])).
% 0.12/0.39 fof(f244,plain,(
% 0.12/0.39 ~product2(e_2,e_2,e_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f140,f105])).
% 0.12/0.39 fof(f245,plain,(
% 0.12/0.39 ~product1(e_3,e_2,e_2)),
% 0.12/0.39 inference(resolution,[status(thm)],[f141,f97])).
% 0.12/0.39 fof(f246,plain,(
% 0.12/0.39 ~product1(e_2,e_3,e_2)),
% 0.12/0.39 inference(resolution,[status(thm)],[f142,f97])).
% 0.12/0.39 fof(f247,plain,(
% 0.12/0.39 ~product1(e_2,e_2,e_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f143,f97])).
% 0.12/0.39 fof(f248,plain,(
% 0.12/0.39 ~product2(e_4,e_2,e_2)),
% 0.12/0.39 inference(resolution,[status(thm)],[f144,f105])).
% 0.12/0.39 fof(f249,plain,(
% 0.12/0.39 ~product2(e_2,e_4,e_2)),
% 0.12/0.39 inference(resolution,[status(thm)],[f145,f105])).
% 0.12/0.39 fof(f250,plain,(
% 0.12/0.39 ~product2(e_2,e_2,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f146,f105])).
% 0.12/0.39 fof(f251,plain,(
% 0.12/0.39 ~product1(e_4,e_2,e_2)),
% 0.12/0.39 inference(resolution,[status(thm)],[f147,f97])).
% 0.12/0.39 fof(f252,plain,(
% 0.12/0.39 ~product1(e_2,e_4,e_2)),
% 0.12/0.39 inference(resolution,[status(thm)],[f148,f97])).
% 0.12/0.39 fof(f253,plain,(
% 0.12/0.39 ~product1(e_2,e_2,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f149,f97])).
% 0.12/0.39 fof(f254,plain,(
% 0.12/0.39 ~product2(e_4,e_3,e_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f162,f105])).
% 0.12/0.39 fof(f255,plain,(
% 0.12/0.39 ~product2(e_3,e_4,e_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f163,f105])).
% 0.12/0.39 fof(f256,plain,(
% 0.12/0.39 ~product2(e_3,e_3,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f164,f105])).
% 0.12/0.39 fof(f257,plain,(
% 0.12/0.39 ~product1(e_4,e_3,e_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f165,f97])).
% 0.12/0.39 fof(f258,plain,(
% 0.12/0.39 ~product1(e_3,e_4,e_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f166,f97])).
% 0.12/0.39 fof(f259,plain,(
% 0.12/0.39 ~product1(e_3,e_3,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f167,f97])).
% 0.12/0.39 fof(f260,plain,(
% 0.12/0.39 ![X0,X1]: (~cycle(X0,X1)|~next(X0,e_4)|~greater(X1,e_0)|equalish(X1,e_1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f176,f49])).
% 0.12/0.39 fof(f274,plain,(
% 0.12/0.39 ![X0]: (~cycle(e_3,X0)|~greater(X0,e_0)|equalish(X0,e_1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f260,f52])).
% 0.12/0.39 fof(f275,plain,(
% 0.12/0.39 ~greater(e_0,e_0)|equalish(e_0,e_1)|~group_element(e_3)|cycle(e_3,e_1)|cycle(e_3,e_2)|cycle(e_3,e_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f274,f65])).
% 0.12/0.39 fof(f276,definition,(
% 0.12/0.39 sQ8_spl <=> (greater(e_0,e_0))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f279,definition,(
% 0.12/0.39 sQ9_spl <=> (equalish(e_0,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f282,definition,(
% 0.12/0.39 sQ10_spl <=> (group_element(e_3))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f284,plain,(
% 0.12/0.39 ~group_element(e_3)|sQ10_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f282])).
% 0.12/0.39 fof(f285,definition,(
% 0.12/0.39 sQ11_spl <=> (cycle(e_3,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f286,plain,(
% 0.12/0.39 cycle(e_3,e_1)|~sQ11_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f285])).
% 0.12/0.39 fof(f288,definition,(
% 0.12/0.39 sQ12_spl <=> (cycle(e_3,e_2))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f289,plain,(
% 0.12/0.39 cycle(e_3,e_2)|~sQ12_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f288])).
% 0.12/0.39 fof(f291,definition,(
% 0.12/0.39 sQ13_spl <=> (cycle(e_3,e_3))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f292,plain,(
% 0.12/0.39 cycle(e_3,e_3)|~sQ13_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f291])).
% 0.12/0.39 fof(f294,plain,(
% 0.12/0.39 ~sQ8_spl|sQ9_spl|~sQ10_spl|sQ11_spl|sQ12_spl|sQ13_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f275,f276,f279,f282,f285,f288,f291])).
% 0.12/0.39 fof(f295,plain,(
% 0.12/0.39 ~greater(e_3,e_0)|equalish(e_3,e_1)|~sQ13_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f292,f274])).
% 0.12/0.39 fof(f299,definition,(
% 0.12/0.39 sQ14_spl <=> (greater(e_3,e_0))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f301,plain,(
% 0.12/0.39 ~greater(e_3,e_0)|sQ14_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f299])).
% 0.12/0.39 fof(f302,definition,(
% 0.12/0.39 sQ15_spl <=> (equalish(e_3,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f303,plain,(
% 0.12/0.39 equalish(e_3,e_1)|~sQ15_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f302])).
% 0.12/0.39 fof(f305,plain,(
% 0.12/0.39 ~sQ14_spl|sQ15_spl|~sQ13_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f295,f299,f302,f291])).
% 0.12/0.39 fof(f307,plain,(
% 0.12/0.39 $false|~sQ15_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f303,f84])).
% 0.12/0.39 fof(f308,plain,(
% 0.12/0.39 ~sQ15_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f307])).
% 0.12/0.39 fof(f309,plain,(
% 0.12/0.39 $false|sQ14_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f301,f55])).
% 0.12/0.39 fof(f310,plain,(
% 0.12/0.39 sQ14_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f309])).
% 0.12/0.39 fof(f311,plain,(
% 0.12/0.39 ~greater(e_2,e_0)|equalish(e_2,e_1)|~sQ12_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f289,f274])).
% 0.12/0.39 fof(f315,definition,(
% 0.12/0.39 sQ16_spl <=> (greater(e_2,e_0))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f317,plain,(
% 0.12/0.39 ~greater(e_2,e_0)|sQ16_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f315])).
% 0.12/0.39 fof(f318,definition,(
% 0.12/0.39 sQ17_spl <=> (equalish(e_2,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f319,plain,(
% 0.12/0.39 equalish(e_2,e_1)|~sQ17_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f318])).
% 0.12/0.39 fof(f321,plain,(
% 0.12/0.39 ~sQ16_spl|sQ17_spl|~sQ12_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f311,f315,f318,f288])).
% 0.12/0.39 fof(f326,plain,(
% 0.12/0.39 $false|~sQ17_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f319,f81])).
% 0.12/0.39 fof(f327,plain,(
% 0.12/0.39 ~sQ17_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f326])).
% 0.12/0.39 fof(f328,plain,(
% 0.12/0.39 $false|sQ16_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f317,f54])).
% 0.12/0.39 fof(f329,plain,(
% 0.12/0.39 sQ16_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f328])).
% 0.12/0.39 fof(f330,plain,(
% 0.12/0.39 ~greater(e_1,e_0)|equalish(e_1,e_1)|~sQ11_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f286,f274])).
% 0.12/0.39 fof(f334,definition,(
% 0.12/0.39 sQ19_spl <=> (greater(e_1,e_0))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f336,plain,(
% 0.12/0.39 ~greater(e_1,e_0)|sQ19_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f334])).
% 0.12/0.39 fof(f337,definition,(
% 0.12/0.39 sQ20_spl <=> (equalish(e_1,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f340,plain,(
% 0.12/0.39 ~sQ19_spl|sQ20_spl|~sQ11_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f330,f334,f337,f285])).
% 0.12/0.39 fof(f345,plain,(
% 0.12/0.39 $false|sQ19_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f336,f53])).
% 0.12/0.39 fof(f346,plain,(
% 0.12/0.39 sQ19_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f345])).
% 0.12/0.39 fof(f347,plain,(
% 0.12/0.39 $false|sQ10_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f284,f76])).
% 0.12/0.39 fof(f348,plain,(
% 0.12/0.39 sQ10_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f347])).
% 0.12/0.39 fof(f349,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~cycle(X0,X1)|~next(X2,e_4)|~greater(X2,X0)|~greater(X1,e_0)|~group_element(X2)|cycle(X2,e_1)|cycle(X2,e_2)|cycle(X2,e_3))),
% 0.12/0.39 inference(resolution,[status(thm)],[f225,f66])).
% 0.12/0.39 fof(f352,plain,(
% 0.12/0.39 product1(e_3,e_4,e_1)|product1(e_3,e_4,e_2)|product1(e_3,e_4,e_3)|product1(e_3,e_4,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f236,f76])).
% 0.12/0.39 fof(f353,plain,(
% 0.12/0.39 product1(e_2,e_4,e_1)|product1(e_2,e_4,e_2)|product1(e_2,e_4,e_3)|product1(e_2,e_4,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f236,f75])).
% 0.12/0.39 fof(f354,plain,(
% 0.12/0.39 product1(e_1,e_4,e_1)|product1(e_1,e_4,e_2)|product1(e_1,e_4,e_3)|product1(e_1,e_4,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f236,f74])).
% 0.12/0.39 fof(f368,definition,(
% 0.12/0.39 sQ26_spl <=> (product1(e_3,e_4,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f369,plain,(
% 0.12/0.39 product1(e_3,e_4,e_1)|~sQ26_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f368])).
% 0.12/0.39 fof(f371,definition,(
% 0.12/0.39 sQ27_spl <=> (product1(e_3,e_4,e_2))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f372,plain,(
% 0.12/0.39 product1(e_3,e_4,e_2)|~sQ27_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f371])).
% 0.12/0.39 fof(f374,definition,(
% 0.12/0.39 sQ28_spl <=> (product1(e_3,e_4,e_3))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f375,plain,(
% 0.12/0.39 product1(e_3,e_4,e_3)|~sQ28_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f374])).
% 0.12/0.39 fof(f377,definition,(
% 0.12/0.39 sQ29_spl <=> (product1(e_3,e_4,e_4))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f378,plain,(
% 0.12/0.39 product1(e_3,e_4,e_4)|~sQ29_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f377])).
% 0.12/0.39 fof(f380,plain,(
% 0.12/0.39 sQ26_spl|sQ27_spl|sQ28_spl|sQ29_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f352,f368,f371,f374,f377])).
% 0.12/0.39 fof(f381,definition,(
% 0.12/0.39 sQ30_spl <=> (product1(e_2,e_4,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f382,plain,(
% 0.12/0.39 product1(e_2,e_4,e_1)|~sQ30_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f381])).
% 0.12/0.39 fof(f384,definition,(
% 0.12/0.39 sQ31_spl <=> (product1(e_2,e_4,e_2))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f385,plain,(
% 0.12/0.39 product1(e_2,e_4,e_2)|~sQ31_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f384])).
% 0.12/0.39 fof(f387,definition,(
% 0.12/0.39 sQ32_spl <=> (product1(e_2,e_4,e_3))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f388,plain,(
% 0.12/0.39 product1(e_2,e_4,e_3)|~sQ32_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f387])).
% 0.12/0.39 fof(f390,definition,(
% 0.12/0.39 sQ33_spl <=> (product1(e_2,e_4,e_4))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f391,plain,(
% 0.12/0.39 product1(e_2,e_4,e_4)|~sQ33_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f390])).
% 0.12/0.39 fof(f393,plain,(
% 0.12/0.39 sQ30_spl|sQ31_spl|sQ32_spl|sQ33_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f353,f381,f384,f387,f390])).
% 0.12/0.39 fof(f394,definition,(
% 0.12/0.39 sQ34_spl <=> (product1(e_1,e_4,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f395,plain,(
% 0.12/0.39 product1(e_1,e_4,e_1)|~sQ34_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f394])).
% 0.12/0.39 fof(f397,definition,(
% 0.12/0.39 sQ35_spl <=> (product1(e_1,e_4,e_2))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f398,plain,(
% 0.12/0.39 product1(e_1,e_4,e_2)|~sQ35_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f397])).
% 0.12/0.39 fof(f400,definition,(
% 0.12/0.39 sQ36_spl <=> (product1(e_1,e_4,e_3))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f401,plain,(
% 0.12/0.39 product1(e_1,e_4,e_3)|~sQ36_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f400])).
% 0.12/0.39 fof(f403,definition,(
% 0.12/0.39 sQ37_spl <=> (product1(e_1,e_4,e_4))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f404,plain,(
% 0.12/0.39 product1(e_1,e_4,e_4)|~sQ37_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f403])).
% 0.12/0.39 fof(f406,plain,(
% 0.12/0.39 sQ34_spl|sQ35_spl|sQ36_spl|sQ37_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f354,f394,f397,f400,f403])).
% 0.12/0.39 fof(f407,plain,(
% 0.12/0.39 $false|~sQ34_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f395,f232])).
% 0.12/0.39 fof(f408,plain,(
% 0.12/0.39 ~sQ34_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f407])).
% 0.12/0.39 fof(f409,plain,(
% 0.12/0.39 $false|~sQ31_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f385,f252])).
% 0.12/0.39 fof(f410,plain,(
% 0.12/0.39 ~sQ31_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f409])).
% 0.12/0.39 fof(f411,plain,(
% 0.12/0.39 $false|~sQ28_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f375,f258])).
% 0.12/0.39 fof(f412,plain,(
% 0.12/0.39 ~sQ28_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f411])).
% 0.12/0.39 fof(f413,plain,(
% 0.12/0.39 product1(e_4,e_3,e_1)|product1(e_4,e_3,e_2)|product1(e_4,e_3,e_3)|product1(e_4,e_3,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f237,f77])).
% 0.12/0.39 fof(f415,plain,(
% 0.12/0.39 product1(e_2,e_3,e_1)|product1(e_2,e_3,e_2)|product1(e_2,e_3,e_3)|product1(e_2,e_3,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f237,f75])).
% 0.12/0.39 fof(f416,plain,(
% 0.12/0.39 product1(e_1,e_3,e_1)|product1(e_1,e_3,e_2)|product1(e_1,e_3,e_3)|product1(e_1,e_3,e_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f237,f74])).
% 0.12/0.39 fof(f417,definition,(
% 0.12/0.39 sQ38_spl <=> (product1(e_4,e_3,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f418,plain,(
% 0.12/0.39 product1(e_4,e_3,e_1)|~sQ38_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f417])).
% 0.12/0.39 fof(f420,definition,(
% 0.12/0.39 sQ39_spl <=> (product1(e_4,e_3,e_2))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f421,plain,(
% 0.12/0.39 product1(e_4,e_3,e_2)|~sQ39_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f420])).
% 0.12/0.39 fof(f423,definition,(
% 0.12/0.39 sQ40_spl <=> (product1(e_4,e_3,e_3))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f424,plain,(
% 0.12/0.39 product1(e_4,e_3,e_3)|~sQ40_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f423])).
% 0.12/0.39 fof(f426,definition,(
% 0.12/0.39 sQ41_spl <=> (product1(e_4,e_3,e_4))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f427,plain,(
% 0.12/0.39 product1(e_4,e_3,e_4)|~sQ41_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f426])).
% 0.12/0.39 fof(f429,plain,(
% 0.12/0.39 sQ38_spl|sQ39_spl|sQ40_spl|sQ41_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f413,f417,f420,f423,f426])).
% 0.12/0.39 fof(f439,definition,(
% 0.12/0.39 sQ45_spl <=> (product1(e_3,e_3,e_4))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f440,plain,(
% 0.12/0.39 product1(e_3,e_3,e_4)|~sQ45_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f439])).
% 0.12/0.39 fof(f443,definition,(
% 0.12/0.39 sQ46_spl <=> (product1(e_2,e_3,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f444,plain,(
% 0.12/0.39 product1(e_2,e_3,e_1)|~sQ46_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f443])).
% 0.12/0.39 fof(f446,definition,(
% 0.12/0.39 sQ47_spl <=> (product1(e_2,e_3,e_2))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f447,plain,(
% 0.12/0.39 product1(e_2,e_3,e_2)|~sQ47_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f446])).
% 0.12/0.39 fof(f449,definition,(
% 0.12/0.39 sQ48_spl <=> (product1(e_2,e_3,e_3))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f450,plain,(
% 0.12/0.39 product1(e_2,e_3,e_3)|~sQ48_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f449])).
% 0.12/0.39 fof(f452,definition,(
% 0.12/0.39 sQ49_spl <=> (product1(e_2,e_3,e_4))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f455,plain,(
% 0.12/0.39 sQ46_spl|sQ47_spl|sQ48_spl|sQ49_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f415,f443,f446,f449,f452])).
% 0.12/0.39 fof(f456,definition,(
% 0.12/0.39 sQ50_spl <=> (product1(e_1,e_3,e_1))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f457,plain,(
% 0.12/0.40 product1(e_1,e_3,e_1)|~sQ50_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f456])).
% 0.12/0.40 fof(f459,definition,(
% 0.12/0.40 sQ51_spl <=> (product1(e_1,e_3,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f460,plain,(
% 0.12/0.40 product1(e_1,e_3,e_2)|~sQ51_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f459])).
% 0.12/0.40 fof(f462,definition,(
% 0.12/0.40 sQ52_spl <=> (product1(e_1,e_3,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f463,plain,(
% 0.12/0.40 product1(e_1,e_3,e_3)|~sQ52_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f462])).
% 0.12/0.40 fof(f465,definition,(
% 0.12/0.40 sQ53_spl <=> (product1(e_1,e_3,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f466,plain,(
% 0.12/0.40 product1(e_1,e_3,e_4)|~sQ53_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f465])).
% 0.12/0.40 fof(f468,plain,(
% 0.12/0.40 sQ50_spl|sQ51_spl|sQ52_spl|sQ53_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f416,f456,f459,f462,f465])).
% 0.12/0.40 fof(f469,plain,(
% 0.12/0.40 $false|~sQ50_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f457,f226])).
% 0.12/0.40 fof(f470,plain,(
% 0.12/0.40 ~sQ50_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f469])).
% 0.12/0.40 fof(f471,plain,(
% 0.12/0.40 $false|~sQ47_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f447,f246])).
% 0.12/0.40 fof(f472,plain,(
% 0.12/0.40 ~sQ47_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f471])).
% 0.12/0.40 fof(f473,plain,(
% 0.12/0.40 $false|~sQ45_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f440,f259])).
% 0.12/0.40 fof(f474,plain,(
% 0.12/0.40 ~sQ45_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f473])).
% 0.12/0.40 fof(f475,plain,(
% 0.12/0.40 $false|~sQ40_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f424,f257])).
% 0.12/0.40 fof(f476,plain,(
% 0.12/0.40 ~sQ40_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f475])).
% 0.12/0.40 fof(f477,plain,(
% 0.12/0.40 ~product1(e_4,e_4,e_4)|~sQ37_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f404,f129])).
% 0.12/0.40 fof(f481,plain,(
% 0.12/0.40 $false|~sQ37_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f477,f97])).
% 0.12/0.40 fof(f482,plain,(
% 0.12/0.40 ~sQ37_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f481])).
% 0.12/0.40 fof(f485,plain,(
% 0.12/0.40 ~product1(e_2,e_4,e_3)|~sQ36_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f401,f113])).
% 0.12/0.40 fof(f491,plain,(
% 0.12/0.40 ~product1(e_3,e_4,e_2)|~sQ35_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f398,f123])).
% 0.12/0.40 fof(f498,plain,(
% 0.12/0.40 $false|~sQ27_spl|~sQ35_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f491,f372])).
% 0.12/0.40 fof(f499,plain,(
% 0.12/0.40 ~sQ27_spl|~sQ35_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f498])).
% 0.12/0.40 fof(f500,plain,(
% 0.12/0.40 ~product1(e_4,e_4,e_4)|~sQ33_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f391,f147])).
% 0.12/0.40 fof(f503,plain,(
% 0.12/0.40 $false|~sQ33_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f500,f97])).
% 0.12/0.40 fof(f504,plain,(
% 0.12/0.40 ~sQ33_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f503])).
% 0.12/0.40 fof(f508,plain,(
% 0.12/0.40 ![X0]: (~product1(e_4,X0,e_2)|product2(e_3,X0,e_4)|~sQ32_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f388,f107])).
% 0.12/0.40 fof(f512,plain,(
% 0.12/0.40 product1(e_1,e_2,e_1)|product1(e_1,e_2,e_2)|product1(e_1,e_2,e_3)|product1(e_1,e_2,e_4)),
% 0.12/0.40 inference(resolution,[status(thm)],[f238,f74])).
% 0.12/0.40 fof(f516,definition,(
% 0.12/0.40 sQ55_spl <=> (product1(e_4,e_2,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f517,plain,(
% 0.12/0.40 product1(e_4,e_2,e_2)|~sQ55_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f516])).
% 0.12/0.40 fof(f529,definition,(
% 0.12/0.40 sQ59_spl <=> (product1(e_3,e_2,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f530,plain,(
% 0.12/0.40 product1(e_3,e_2,e_2)|~sQ59_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f529])).
% 0.12/0.40 fof(f545,definition,(
% 0.12/0.40 sQ64_spl <=> (product1(e_2,e_2,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f546,plain,(
% 0.12/0.40 product1(e_2,e_2,e_3)|~sQ64_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f545])).
% 0.12/0.40 fof(f548,definition,(
% 0.12/0.40 sQ65_spl <=> (product1(e_2,e_2,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f549,plain,(
% 0.12/0.40 product1(e_2,e_2,e_4)|~sQ65_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f548])).
% 0.12/0.40 fof(f552,definition,(
% 0.12/0.40 sQ66_spl <=> (product1(e_1,e_2,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f553,plain,(
% 0.12/0.40 product1(e_1,e_2,e_1)|~sQ66_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f552])).
% 0.12/0.40 fof(f555,definition,(
% 0.12/0.40 sQ67_spl <=> (product1(e_1,e_2,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f556,plain,(
% 0.12/0.40 product1(e_1,e_2,e_2)|~sQ67_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f555])).
% 0.12/0.40 fof(f558,definition,(
% 0.12/0.40 sQ68_spl <=> (product1(e_1,e_2,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f559,plain,(
% 0.12/0.40 product1(e_1,e_2,e_3)|~sQ68_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f558])).
% 0.12/0.40 fof(f561,definition,(
% 0.12/0.40 sQ69_spl <=> (product1(e_1,e_2,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f562,plain,(
% 0.12/0.40 product1(e_1,e_2,e_4)|~sQ69_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f561])).
% 0.12/0.40 fof(f564,plain,(
% 0.12/0.40 sQ66_spl|sQ67_spl|sQ68_spl|sQ69_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f512,f552,f555,f558,f561])).
% 0.12/0.40 fof(f565,plain,(
% 0.12/0.40 $false|~sQ66_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f553,f178])).
% 0.12/0.40 fof(f566,plain,(
% 0.12/0.40 ~sQ66_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f565])).
% 0.12/0.40 fof(f567,plain,(
% 0.12/0.40 $false|~sQ65_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f549,f253])).
% 0.12/0.40 fof(f568,plain,(
% 0.12/0.40 ~sQ65_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f567])).
% 0.12/0.40 fof(f569,plain,(
% 0.12/0.40 $false|~sQ64_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f546,f247])).
% 0.12/0.40 fof(f570,plain,(
% 0.12/0.40 ~sQ64_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f569])).
% 0.12/0.40 fof(f571,plain,(
% 0.12/0.40 $false|~sQ59_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f530,f245])).
% 0.12/0.40 fof(f572,plain,(
% 0.12/0.40 ~sQ59_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f571])).
% 0.12/0.40 fof(f573,plain,(
% 0.12/0.40 $false|~sQ55_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f517,f251])).
% 0.12/0.40 fof(f574,plain,(
% 0.12/0.40 ~sQ55_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f573])).
% 0.12/0.40 fof(f577,plain,(
% 0.12/0.40 product1(e_2,e_1,e_1)|product1(e_2,e_1,e_2)|product1(e_2,e_1,e_3)|product1(e_2,e_1,e_4)),
% 0.12/0.40 inference(resolution,[status(thm)],[f239,f75])).
% 0.12/0.40 fof(f578,plain,(
% 0.12/0.40 product1(e_1,e_1,e_1)|product1(e_1,e_1,e_2)|product1(e_1,e_1,e_3)|product1(e_1,e_1,e_4)),
% 0.12/0.40 inference(resolution,[status(thm)],[f239,f74])).
% 0.12/0.40 fof(f579,definition,(
% 0.12/0.40 sQ70_spl <=> (product1(e_4,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f580,plain,(
% 0.12/0.40 product1(e_4,e_1,e_1)|~sQ70_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f579])).
% 0.12/0.40 fof(f592,definition,(
% 0.12/0.40 sQ74_spl <=> (product1(e_3,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f593,plain,(
% 0.12/0.40 product1(e_3,e_1,e_1)|~sQ74_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f592])).
% 0.12/0.40 fof(f605,definition,(
% 0.12/0.40 sQ78_spl <=> (product1(e_2,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f606,plain,(
% 0.12/0.40 product1(e_2,e_1,e_1)|~sQ78_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f605])).
% 0.12/0.40 fof(f608,definition,(
% 0.12/0.40 sQ79_spl <=> (product1(e_2,e_1,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f609,plain,(
% 0.12/0.40 product1(e_2,e_1,e_2)|~sQ79_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f608])).
% 0.12/0.40 fof(f611,definition,(
% 0.12/0.40 sQ80_spl <=> (product1(e_2,e_1,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f612,plain,(
% 0.12/0.40 product1(e_2,e_1,e_3)|~sQ80_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f611])).
% 0.12/0.40 fof(f614,definition,(
% 0.12/0.40 sQ81_spl <=> (product1(e_2,e_1,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f615,plain,(
% 0.12/0.40 product1(e_2,e_1,e_4)|~sQ81_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f614])).
% 0.12/0.40 fof(f617,plain,(
% 0.12/0.40 sQ78_spl|sQ79_spl|sQ80_spl|sQ81_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f577,f605,f608,f611,f614])).
% 0.12/0.40 fof(f618,definition,(
% 0.12/0.40 sQ82_spl <=> (product1(e_1,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f621,definition,(
% 0.12/0.40 sQ83_spl <=> (product1(e_1,e_1,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f622,plain,(
% 0.12/0.40 product1(e_1,e_1,e_2)|~sQ83_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f621])).
% 0.12/0.40 fof(f624,definition,(
% 0.12/0.40 sQ84_spl <=> (product1(e_1,e_1,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f625,plain,(
% 0.12/0.40 product1(e_1,e_1,e_3)|~sQ84_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f624])).
% 0.12/0.40 fof(f627,definition,(
% 0.12/0.40 sQ85_spl <=> (product1(e_1,e_1,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f628,plain,(
% 0.12/0.40 product1(e_1,e_1,e_4)|~sQ85_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f627])).
% 0.12/0.40 fof(f630,plain,(
% 0.12/0.40 sQ82_spl|sQ83_spl|sQ84_spl|sQ85_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f578,f618,f621,f624,f627])).
% 0.12/0.40 fof(f631,plain,(
% 0.12/0.40 $false|~sQ85_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f628,f233])).
% 0.12/0.40 fof(f632,plain,(
% 0.12/0.40 ~sQ85_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f631])).
% 0.12/0.40 fof(f633,plain,(
% 0.12/0.40 $false|~sQ84_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f625,f227])).
% 0.12/0.40 fof(f634,plain,(
% 0.12/0.40 ~sQ84_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f633])).
% 0.12/0.40 fof(f635,plain,(
% 0.12/0.40 $false|~sQ83_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f622,f179])).
% 0.12/0.40 fof(f636,plain,(
% 0.12/0.40 ~sQ83_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f635])).
% 0.12/0.40 fof(f637,plain,(
% 0.12/0.40 $false|~sQ78_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f606,f119])).
% 0.12/0.40 fof(f638,plain,(
% 0.12/0.40 ~sQ78_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f637])).
% 0.12/0.40 fof(f639,plain,(
% 0.12/0.40 $false|~sQ74_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f593,f183])).
% 0.12/0.40 fof(f640,plain,(
% 0.12/0.40 ~sQ74_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f639])).
% 0.12/0.40 fof(f641,plain,(
% 0.12/0.40 $false|~sQ70_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f580,f231])).
% 0.12/0.40 fof(f642,plain,(
% 0.12/0.40 ~sQ70_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f641])).
% 0.12/0.40 fof(f644,plain,(
% 0.12/0.40 ~product1(e_3,e_4,e_1)|~sQ30_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f382,f141])).
% 0.12/0.40 fof(f651,plain,(
% 0.12/0.40 ~product1(e_4,e_4,e_4)|~sQ29_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f378,f165])).
% 0.12/0.40 fof(f653,plain,(
% 0.12/0.40 $false|~sQ29_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f651,f97])).
% 0.12/0.40 fof(f654,plain,(
% 0.12/0.40 ~sQ29_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f653])).
% 0.12/0.40 fof(f660,plain,(
% 0.12/0.40 ~product1(e_4,e_3,e_4)|~sQ53_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f466,f129])).
% 0.12/0.40 fof(f665,plain,(
% 0.12/0.40 $false|~sQ41_spl|~sQ53_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f660,f427])).
% 0.12/0.40 fof(f666,plain,(
% 0.12/0.40 ~sQ41_spl|~sQ53_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f665])).
% 0.12/0.40 fof(f668,plain,(
% 0.12/0.40 ~product1(e_3,e_3,e_3)|~sQ52_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f463,f123])).
% 0.12/0.40 fof(f673,plain,(
% 0.12/0.40 $false|~sQ52_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f668,f97])).
% 0.12/0.40 fof(f674,plain,(
% 0.12/0.40 ~sQ52_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f673])).
% 0.12/0.40 fof(f678,plain,(
% 0.12/0.40 ~product1(e_1,e_4,e_2)|~sQ51_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f460,f166])).
% 0.12/0.40 fof(f686,plain,(
% 0.12/0.40 $false|~sQ35_spl|~sQ51_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f678,f398])).
% 0.12/0.40 fof(f687,plain,(
% 0.12/0.40 ~sQ35_spl|~sQ51_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f686])).
% 0.12/0.40 fof(f691,plain,(
% 0.12/0.40 ~product1(e_3,e_3,e_3)|~sQ48_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f450,f141])).
% 0.12/0.40 fof(f695,plain,(
% 0.12/0.40 $false|~sQ48_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f691,f97])).
% 0.12/0.40 fof(f696,plain,(
% 0.12/0.40 ~sQ48_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f695])).
% 0.12/0.40 fof(f697,plain,(
% 0.12/0.40 ~product1(e_4,e_3,e_1)|~sQ46_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f444,f147])).
% 0.12/0.40 fof(f704,plain,(
% 0.12/0.40 $false|~sQ38_spl|~sQ46_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f697,f418])).
% 0.12/0.40 fof(f705,plain,(
% 0.12/0.40 ~sQ38_spl|~sQ46_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f704])).
% 0.12/0.40 fof(f731,definition,(
% 0.12/0.40 sQ92_spl <=> (product2(e_3,e_4,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f732,plain,(
% 0.12/0.40 product2(e_3,e_4,e_3)|~sQ92_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f731])).
% 0.12/0.40 fof(f734,definition,(
% 0.12/0.40 sQ93_spl <=> (product2(e_3,e_4,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f735,plain,(
% 0.12/0.40 product2(e_3,e_4,e_4)|~sQ93_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f734])).
% 0.12/0.40 fof(f741,definition,(
% 0.12/0.40 sQ95_spl <=> (product2(e_2,e_4,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f742,plain,(
% 0.12/0.40 product2(e_2,e_4,e_2)|~sQ95_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f741])).
% 0.12/0.40 fof(f747,definition,(
% 0.12/0.40 sQ97_spl <=> (product2(e_2,e_4,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f748,plain,(
% 0.12/0.40 product2(e_2,e_4,e_4)|~sQ97_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f747])).
% 0.12/0.40 fof(f751,definition,(
% 0.12/0.40 sQ98_spl <=> (product2(e_1,e_4,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f752,plain,(
% 0.12/0.40 product2(e_1,e_4,e_1)|~sQ98_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f751])).
% 0.12/0.40 fof(f760,definition,(
% 0.12/0.40 sQ101_spl <=> (product2(e_1,e_4,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f761,plain,(
% 0.12/0.40 product2(e_1,e_4,e_4)|~sQ101_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f760])).
% 0.12/0.40 fof(f764,plain,(
% 0.12/0.40 $false|~sQ98_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f752,f229])).
% 0.12/0.40 fof(f765,plain,(
% 0.12/0.40 ~sQ98_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f764])).
% 0.12/0.40 fof(f766,plain,(
% 0.12/0.40 $false|~sQ95_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f742,f249])).
% 0.12/0.40 fof(f767,plain,(
% 0.12/0.40 ~sQ95_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f766])).
% 0.12/0.40 fof(f768,plain,(
% 0.12/0.40 $false|~sQ92_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f732,f255])).
% 0.12/0.40 fof(f769,plain,(
% 0.12/0.40 ~sQ92_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f768])).
% 0.12/0.40 fof(f780,definition,(
% 0.12/0.40 sQ104_spl <=> (product2(e_4,e_3,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f781,plain,(
% 0.12/0.40 product2(e_4,e_3,e_3)|~sQ104_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f780])).
% 0.12/0.40 fof(f796,definition,(
% 0.12/0.40 sQ109_spl <=> (product2(e_3,e_3,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f797,plain,(
% 0.12/0.40 product2(e_3,e_3,e_4)|~sQ109_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f796])).
% 0.12/0.40 fof(f803,definition,(
% 0.12/0.40 sQ111_spl <=> (product2(e_2,e_3,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f804,plain,(
% 0.12/0.40 product2(e_2,e_3,e_2)|~sQ111_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f803])).
% 0.12/0.40 fof(f806,definition,(
% 0.12/0.40 sQ112_spl <=> (product2(e_2,e_3,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f807,plain,(
% 0.12/0.40 product2(e_2,e_3,e_3)|~sQ112_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f806])).
% 0.12/0.40 fof(f813,definition,(
% 0.12/0.40 sQ114_spl <=> (product2(e_1,e_3,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f814,plain,(
% 0.12/0.40 product2(e_1,e_3,e_1)|~sQ114_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f813])).
% 0.12/0.40 fof(f819,definition,(
% 0.12/0.40 sQ116_spl <=> (product2(e_1,e_3,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f820,plain,(
% 0.12/0.40 product2(e_1,e_3,e_3)|~sQ116_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f819])).
% 0.12/0.40 fof(f826,plain,(
% 0.12/0.40 $false|~sQ114_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f814,f181])).
% 0.12/0.40 fof(f827,plain,(
% 0.12/0.40 ~sQ114_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f826])).
% 0.12/0.40 fof(f828,plain,(
% 0.12/0.40 $false|~sQ111_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f804,f235])).
% 0.12/0.40 fof(f829,plain,(
% 0.12/0.40 ~sQ111_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f828])).
% 0.12/0.40 fof(f830,plain,(
% 0.12/0.40 $false|~sQ109_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f797,f256])).
% 0.12/0.40 fof(f831,plain,(
% 0.12/0.40 ~sQ109_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f830])).
% 0.12/0.40 fof(f832,plain,(
% 0.12/0.40 $false|~sQ104_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f781,f254])).
% 0.12/0.40 fof(f833,plain,(
% 0.12/0.40 ~sQ104_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f832])).
% 0.12/0.40 fof(f841,definition,(
% 0.12/0.40 sQ119_spl <=> (product2(e_4,e_2,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f842,plain,(
% 0.12/0.40 product2(e_4,e_2,e_2)|~sQ119_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f841])).
% 0.12/0.40 fof(f854,definition,(
% 0.12/0.40 sQ123_spl <=> (product2(e_3,e_2,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f855,plain,(
% 0.12/0.40 product2(e_3,e_2,e_2)|~sQ123_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f854])).
% 0.12/0.40 fof(f870,definition,(
% 0.12/0.40 sQ128_spl <=> (product2(e_2,e_2,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f871,plain,(
% 0.12/0.40 product2(e_2,e_2,e_3)|~sQ128_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f870])).
% 0.12/0.40 fof(f873,definition,(
% 0.12/0.40 sQ129_spl <=> (product2(e_2,e_2,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f874,plain,(
% 0.12/0.40 product2(e_2,e_2,e_4)|~sQ129_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f873])).
% 0.12/0.40 fof(f877,definition,(
% 0.12/0.40 sQ130_spl <=> (product2(e_1,e_2,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f878,plain,(
% 0.12/0.40 product2(e_1,e_2,e_1)|~sQ130_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f877])).
% 0.12/0.40 fof(f880,definition,(
% 0.12/0.40 sQ131_spl <=> (product2(e_1,e_2,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f881,plain,(
% 0.12/0.40 product2(e_1,e_2,e_2)|~sQ131_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f880])).
% 0.12/0.40 fof(f890,plain,(
% 0.12/0.40 $false|~sQ130_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f878,f117])).
% 0.12/0.40 fof(f891,plain,(
% 0.12/0.40 ~sQ130_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f890])).
% 0.12/0.40 fof(f892,plain,(
% 0.12/0.40 $false|~sQ129_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f874,f250])).
% 0.12/0.40 fof(f893,plain,(
% 0.12/0.40 ~sQ129_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f892])).
% 0.12/0.40 fof(f894,plain,(
% 0.12/0.40 $false|~sQ128_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f871,f244])).
% 0.12/0.40 fof(f895,plain,(
% 0.12/0.40 ~sQ128_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f894])).
% 0.12/0.40 fof(f896,plain,(
% 0.12/0.40 $false|~sQ123_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f855,f234])).
% 0.12/0.40 fof(f897,plain,(
% 0.12/0.40 ~sQ123_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f896])).
% 0.12/0.40 fof(f898,plain,(
% 0.12/0.40 $false|~sQ119_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f842,f248])).
% 0.12/0.40 fof(f899,plain,(
% 0.12/0.40 ~sQ119_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f898])).
% 0.12/0.40 fof(f906,plain,(
% 0.12/0.40 ![X0]: (~product1(e_2,X0,e_1)|product2(e_4,X0,e_2)|~sQ69_spl)),
% 0.12/0.40 inference(resolution,[status(thm)],[f562,f107])).
% 0.12/0.40 fof(f912,plain,(
% 0.12/0.40 product2(e_1,e_1,e_1)|product2(e_1,e_1,e_2)|product2(e_1,e_1,e_3)|product2(e_1,e_1,e_4)),
% 0.12/0.40 inference(resolution,[status(thm)],[f243,f74])).
% 0.12/0.40 fof(f913,definition,(
% 0.12/0.40 sQ134_spl <=> (product2(e_4,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f914,plain,(
% 0.12/0.40 product2(e_4,e_1,e_1)|~sQ134_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f913])).
% 0.12/0.40 fof(f926,definition,(
% 0.12/0.40 sQ138_spl <=> (product2(e_3,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f927,plain,(
% 0.12/0.40 product2(e_3,e_1,e_1)|~sQ138_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f926])).
% 0.12/0.40 fof(f939,definition,(
% 0.12/0.40 sQ142_spl <=> (product2(e_2,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f940,plain,(
% 0.12/0.40 product2(e_2,e_1,e_1)|~sQ142_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f939])).
% 0.12/0.40 fof(f942,definition,(
% 0.12/0.40 sQ143_spl <=> (product2(e_2,e_1,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f943,plain,(
% 0.12/0.40 product2(e_2,e_1,e_2)|~sQ143_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f942])).
% 0.12/0.40 fof(f952,definition,(
% 0.12/0.40 sQ146_spl <=> (product2(e_1,e_1,e_1))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f955,definition,(
% 0.12/0.40 sQ147_spl <=> (product2(e_1,e_1,e_2))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f956,plain,(
% 0.12/0.40 product2(e_1,e_1,e_2)|~sQ147_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f955])).
% 0.12/0.40 fof(f958,definition,(
% 0.12/0.40 sQ148_spl <=> (product2(e_1,e_1,e_3))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f959,plain,(
% 0.12/0.40 product2(e_1,e_1,e_3)|~sQ148_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f958])).
% 0.12/0.40 fof(f961,definition,(
% 0.12/0.40 sQ149_spl <=> (product2(e_1,e_1,e_4))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f962,plain,(
% 0.12/0.40 product2(e_1,e_1,e_4)|~sQ149_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f961])).
% 0.12/0.40 fof(f964,plain,(
% 0.12/0.40 sQ146_spl|sQ147_spl|sQ148_spl|sQ149_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f912,f952,f955,f958,f961])).
% 0.12/0.40 fof(f965,plain,(
% 0.12/0.40 $false|~sQ149_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f962,f230])).
% 0.12/0.40 fof(f966,plain,(
% 0.12/0.40 ~sQ149_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f965])).
% 0.12/0.40 fof(f967,plain,(
% 0.12/0.40 $false|~sQ148_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f959,f182])).
% 0.12/0.40 fof(f968,plain,(
% 0.12/0.40 ~sQ148_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f967])).
% 0.12/0.40 fof(f969,plain,(
% 0.12/0.40 $false|~sQ147_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f956,f118])).
% 0.12/0.40 fof(f970,plain,(
% 0.12/0.40 ~sQ147_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f969])).
% 0.12/0.40 fof(f971,plain,(
% 0.12/0.40 $false|~sQ142_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f940,f116])).
% 0.12/0.40 fof(f972,plain,(
% 0.12/0.40 ~sQ142_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f971])).
% 0.12/0.40 fof(f973,plain,(
% 0.12/0.40 $false|~sQ138_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f927,f180])).
% 0.12/0.40 fof(f974,plain,(
% 0.12/0.40 ~sQ138_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f973])).
% 0.12/0.40 fof(f975,plain,(
% 0.12/0.40 $false|~sQ134_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f914,f228])).
% 0.12/0.40 fof(f976,plain,(
% 0.12/0.40 ~sQ134_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f975])).
% 0.12/0.40 fof(f990,plain,(
% 0.12/0.40 ~product1(e_1,e_4,e_3)|~sQ68_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f559,f148])).
% 0.12/0.40 fof(f996,plain,(
% 0.12/0.40 ~product1(e_2,e_2,e_2)|~sQ67_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f556,f113])).
% 0.12/0.40 fof(f1002,plain,(
% 0.12/0.40 $false|~sQ67_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f996,f97])).
% 0.12/0.40 fof(f1003,plain,(
% 0.12/0.40 ~sQ67_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f1002])).
% 0.12/0.40 fof(f1023,plain,(
% 0.12/0.40 ~product1(e_2,e_3,e_4)|~sQ81_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f615,f124])).
% 0.12/0.40 fof(f1030,plain,(
% 0.12/0.40 ~product1(e_2,e_4,e_3)|~sQ80_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f612,f130])).
% 0.12/0.40 fof(f1041,plain,(
% 0.12/0.40 ~product1(e_2,e_2,e_2)|~sQ79_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f609,f114])).
% 0.12/0.40 fof(f1052,plain,(
% 0.12/0.40 $false|~sQ79_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1041,f97])).
% 0.12/0.40 fof(f1053,plain,(
% 0.12/0.40 ~sQ79_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f1052])).
% 0.12/0.40 fof(f1054,plain,(
% 0.12/0.40 $false|~sQ32_spl|~sQ80_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1030,f388])).
% 0.12/0.40 fof(f1055,plain,(
% 0.12/0.40 ~sQ32_spl|~sQ80_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f1054])).
% 0.12/0.40 fof(f1060,plain,(
% 0.12/0.40 ![X0,X1]: (~cycle(X0,X1)|~greater(e_3,X0)|~greater(X1,e_0)|~group_element(e_3)|cycle(e_3,e_1)|cycle(e_3,e_2)|cycle(e_3,e_3))),
% 0.12/0.40 inference(resolution,[status(thm)],[f349,f52])).
% 0.12/0.40 fof(f1061,definition,(
% 0.12/0.40 ![X0,X1]: (sQ152_spl <=> (~cycle(X0,X1)|~greater(e_3,X0)|~greater(X1,e_0)))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f1064,plain,(
% 0.12/0.40 sQ152_spl|~sQ10_spl|sQ11_spl|sQ12_spl|sQ13_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f1060,f1061,f282,f285,f288,f291])).
% 0.12/0.40 fof(f1072,plain,(
% 0.12/0.40 product2(e_3,e_3,e_4)|~sQ39_spl|~sQ32_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f421,f508])).
% 0.12/0.40 fof(f1077,plain,(
% 0.12/0.40 sQ109_spl|~sQ39_spl|~sQ32_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f1072,f796,f420,f387])).
% 0.12/0.40 fof(f1078,plain,(
% 0.12/0.40 ~sQ49_spl|~sQ81_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f1023,f452,f614])).
% 0.12/0.40 fof(f1079,plain,(
% 0.12/0.40 $false|~sQ26_spl|~sQ30_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f644,f369])).
% 0.12/0.40 fof(f1080,plain,(
% 0.12/0.40 ~sQ26_spl|~sQ30_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f1079])).
% 0.12/0.40 fof(f1081,plain,(
% 0.12/0.40 $false|~sQ68_spl|~sQ36_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f401,f990])).
% 0.12/0.40 fof(f1082,plain,(
% 0.12/0.40 ~sQ68_spl|~sQ36_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f1081])).
% 0.12/0.40 fof(f1083,plain,(
% 0.12/0.40 ~sQ32_spl|~sQ36_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f485,f387,f400])).
% 0.12/0.40 fof(f1086,plain,(
% 0.12/0.40 ~product2(e_4,e_4,e_4)|~sQ101_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f761,f126])).
% 0.12/0.40 fof(f1089,plain,(
% 0.12/0.40 $false|~sQ101_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1086,f105])).
% 0.12/0.40 fof(f1090,plain,(
% 0.12/0.40 ~sQ101_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f1089])).
% 0.12/0.40 fof(f1104,plain,(
% 0.12/0.40 ~product2(e_4,e_4,e_4)|~sQ97_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f748,f144])).
% 0.12/0.40 fof(f1106,plain,(
% 0.12/0.40 $false|~sQ97_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1104,f105])).
% 0.12/0.40 fof(f1107,plain,(
% 0.12/0.40 ~sQ97_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f1106])).
% 0.12/0.40 fof(f1115,plain,(
% 0.12/0.40 ~product2(e_4,e_4,e_4)|~sQ93_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f735,f162])).
% 0.12/0.40 fof(f1116,plain,(
% 0.12/0.40 $false|~sQ93_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1115,f105])).
% 0.12/0.41 fof(f1117,plain,(
% 0.12/0.41 ~sQ93_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1116])).
% 0.12/0.41 fof(f1125,plain,(
% 0.12/0.41 ~product2(e_3,e_3,e_3)|~sQ116_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f820,f120])).
% 0.12/0.41 fof(f1129,plain,(
% 0.12/0.41 $false|~sQ116_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1125,f105])).
% 0.12/0.41 fof(f1130,plain,(
% 0.12/0.41 ~sQ116_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1129])).
% 0.12/0.41 fof(f1146,plain,(
% 0.12/0.41 ~product2(e_3,e_3,e_3)|~sQ112_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f807,f138])).
% 0.12/0.41 fof(f1149,plain,(
% 0.12/0.41 $false|~sQ112_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1146,f105])).
% 0.12/0.41 fof(f1150,plain,(
% 0.12/0.41 ~sQ112_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1149])).
% 0.12/0.41 fof(f1178,plain,(
% 0.12/0.41 ~product2(e_2,e_2,e_2)|~sQ131_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f881,f110])).
% 0.12/0.41 fof(f1183,plain,(
% 0.12/0.41 $false|~sQ131_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1178,f105])).
% 0.12/0.41 fof(f1184,plain,(
% 0.12/0.41 ~sQ131_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1183])).
% 0.12/0.41 fof(f1231,plain,(
% 0.12/0.41 ~product2(e_2,e_2,e_2)|~sQ143_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f943,f111])).
% 0.12/0.41 fof(f1240,plain,(
% 0.12/0.41 $false|~sQ143_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1231,f105])).
% 0.12/0.41 fof(f1241,plain,(
% 0.12/0.41 ~sQ143_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1240])).
% 0.12/0.41 fof(f1303,plain,(
% 0.12/0.41 product2(e_4,e_4,e_2)|~sQ30_spl|~sQ69_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f382,f906])).
% 0.12/0.41 fof(f1310,plain,(
% 0.12/0.41 ~product2(e_4,e_4,e_4)|~sQ30_spl|~sQ69_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f1303,f146])).
% 0.12/0.41 fof(f1312,plain,(
% 0.12/0.41 $false|~sQ30_spl|~sQ69_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1310,f105])).
% 0.12/0.41 fof(f1313,plain,(
% 0.12/0.41 ~sQ30_spl|~sQ69_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1312])).
% 0.12/0.41 fof(f1314,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f294,f305,f308,f310,f321,f327,f329,f340,f346,f348,f380,f393,f406,f408,f410,f412,f429,f455,f468,f470,f472,f474,f476,f482,f499,f504,f564,f566,f568,f570,f572,f574,f617,f630,f632,f634,f636,f638,f640,f642,f654,f666,f674,f687,f696,f705,f765,f767,f769,f827,f829,f831,f833,f891,f893,f895,f897,f899,f964,f966,f968,f970,f972,f974,f976,f1003,f1053,f1055,f1064,f1077,f1078,f1080,f1082,f1083,f1090,f1107,f1117,f1130,f1150,f1184,f1241,f1313])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.058399 seconds
% 0.12/0.42 % CPU time: 0.210661 seconds
% 0.12/0.42 % Total memory used: 14.630 MB
% 0.12/0.42 % Net memory used: 14.533 MB
%------------------------------------------------------------------------------