%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP124-3.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 12:35:45 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP124-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42 % Computer : n013.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 20 19:58:06 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.44 % Drodi V4.1.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.48 fof(f2,axiom,(
% 0.14/0.48 next(e_1,e_2) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f5,axiom,(
% 0.14/0.48 greater(e_1,e_0) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f6,axiom,(
% 0.14/0.48 greater(e_2,e_0) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f7,axiom,(
% 0.14/0.48 greater(e_3,e_0) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f9,axiom,(
% 0.14/0.48 greater(e_2,e_1) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f10,axiom,(
% 0.14/0.48 greater(e_3,e_1) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f11,axiom,(
% 0.14/0.48 greater(e_4,e_1) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f16,axiom,(
% 0.14/0.48 (![X]: (( ~ group_element(X)| cycle(X,e_0)| cycle(X,e_1)| cycle(X,e_2)| cycle(X,e_3) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f20,axiom,(
% 0.14/0.48 (![X,Y]: (( ~ cycle(X,e_0)| ~ product(X,e_1,Y)| ~ greater(Y,X) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f21,axiom,(
% 0.14/0.48 (![X,Y,Z,X1]: (( ~ cycle(X,Y)| ~ product(X,e_1,Z)| ~ greater(Y,e_0)| ~ next(X,X1)| equalish(Z,X1) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f22,axiom,(
% 0.14/0.48 group_element(e_1) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f23,axiom,(
% 0.14/0.48 group_element(e_2) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f24,axiom,(
% 0.14/0.48 group_element(e_3) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f25,axiom,(
% 0.14/0.48 group_element(e_4) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f26,axiom,(
% 0.14/0.48 ~ equalish(e_1,e_2) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f27,axiom,(
% 0.14/0.48 ~ equalish(e_1,e_3) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f28,axiom,(
% 0.14/0.48 ~ equalish(e_1,e_4) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f30,axiom,(
% 0.14/0.48 ~ equalish(e_2,e_3) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f31,axiom,(
% 0.14/0.48 ~ equalish(e_2,e_4) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f34,axiom,(
% 0.14/0.48 ~ equalish(e_3,e_4) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f38,axiom,(
% 0.14/0.48 (![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) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f39,axiom,(
% 0.14/0.48 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f40,axiom,(
% 0.14/0.48 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f41,axiom,(
% 0.14/0.48 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f42,axiom,(
% 0.14/0.48 (![X]: (product(X,X,X) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f43,negated_conjecture,(
% 0.14/0.48 (![X1,Y1,Z1,X2,Y2,Z2]: (( ~ product(X1,Y1,Z1)| ~ product(X2,Y2,Z1)| ~ product(Z2,X1,Y1)| ~ product(Z2,X2,Y2)| equalish(X1,X2) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f44,negated_conjecture,(
% 0.14/0.48 (![X1,Y1,Z1,X2,Y2,Z2]: (( ~ product(X1,Y1,Z1)| ~ product(X2,Y2,Z1)| ~ product(Z2,X1,Y1)| ~ product(Z2,X2,Y2)| equalish(Y1,Y2) ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f46,plain,(
% 0.14/0.48 next(e_1,e_2)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.48 fof(f49,plain,(
% 0.14/0.48 greater(e_1,e_0)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.48 fof(f50,plain,(
% 0.14/0.48 greater(e_2,e_0)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.48 fof(f51,plain,(
% 0.14/0.48 greater(e_3,e_0)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.48 fof(f53,plain,(
% 0.14/0.48 greater(e_2,e_1)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.48 fof(f54,plain,(
% 0.14/0.48 greater(e_3,e_1)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.48 fof(f55,plain,(
% 0.14/0.48 greater(e_4,e_1)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.48 fof(f61,plain,(
% 0.14/0.48 ![X0]: (~group_element(X0)|cycle(X0,e_0)|cycle(X0,e_1)|cycle(X0,e_2)|cycle(X0,e_3))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.48 fof(f67,plain,(
% 0.14/0.48 ![X0,X1]: (~cycle(X0,e_0)|~product(X0,e_1,X1)|~greater(X1,X0))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.48 fof(f68,plain,(
% 0.14/0.48 ![Z,X1]: ((![X]: ((![Y]: ((~cycle(X,Y)|~product(X,e_1,Z))|~greater(Y,e_0)))|~next(X,X1)))|equalish(Z,X1))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f21])).
% 0.14/0.48 fof(f69,plain,(
% 0.14/0.48 ![X0,X1,X2,X3]: (~cycle(X0,X1)|~product(X0,e_1,X2)|~greater(X1,e_0)|~next(X0,X3)|equalish(X2,X3))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.48 fof(f70,plain,(
% 0.14/0.48 group_element(e_1)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.48 fof(f71,plain,(
% 0.14/0.48 group_element(e_2)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.48 fof(f72,plain,(
% 0.14/0.48 group_element(e_3)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.48 fof(f73,plain,(
% 0.14/0.48 group_element(e_4)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.48 fof(f74,plain,(
% 0.14/0.48 ~equalish(e_1,e_2)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.48 fof(f75,plain,(
% 0.14/0.48 ~equalish(e_1,e_3)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.48 fof(f76,plain,(
% 0.14/0.48 ~equalish(e_1,e_4)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.48 fof(f78,plain,(
% 0.14/0.48 ~equalish(e_2,e_3)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.48 fof(f79,plain,(
% 0.14/0.48 ~equalish(e_2,e_4)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.48 fof(f82,plain,(
% 0.14/0.48 ~equalish(e_3,e_4)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.48 fof(f86,plain,(
% 0.14/0.48 ![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))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.48 fof(f87,plain,(
% 0.14/0.48 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f39])).
% 0.14/0.48 fof(f88,plain,(
% 0.14/0.48 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f87])).
% 0.14/0.48 fof(f89,plain,(
% 0.14/0.48 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f40])).
% 0.14/0.48 fof(f90,plain,(
% 0.14/0.48 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f89])).
% 0.14/0.48 fof(f91,plain,(
% 0.14/0.48 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f41])).
% 0.14/0.48 fof(f92,plain,(
% 0.14/0.48 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f91])).
% 0.14/0.48 fof(f93,plain,(
% 0.14/0.48 ![X0]: (product(X0,X0,X0))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.48 fof(f94,plain,(
% 0.14/0.48 ![X1,X2]: ((![Y2,Z2]: ((![Y1]: ((![Z1]: (~product(X1,Y1,Z1)|~product(X2,Y2,Z1)))|~product(Z2,X1,Y1)))|~product(Z2,X2,Y2)))|equalish(X1,X2))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f43])).
% 0.14/0.48 fof(f95,plain,(
% 0.14/0.48 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X3,X4,X2)|~product(X5,X0,X1)|~product(X5,X3,X4)|equalish(X0,X3))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f94])).
% 0.14/0.48 fof(f96,plain,(
% 0.14/0.48 ![Y1,Y2]: ((![X2,Z2]: ((![X1]: ((![Z1]: (~product(X1,Y1,Z1)|~product(X2,Y2,Z1)))|~product(Z2,X1,Y1)))|~product(Z2,X2,Y2)))|equalish(Y1,Y2))),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f44])).
% 0.14/0.48 fof(f97,plain,(
% 0.14/0.48 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X3,X4,X2)|~product(X5,X0,X1)|~product(X5,X3,X4)|equalish(X1,X4))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f96])).
% 0.14/0.48 fof(f98,plain,(
% 0.14/0.48 ![X0,X1]: (~product(e_1,X0,X1)|~product(e_2,X0,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f74,f92])).
% 0.14/0.48 fof(f99,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,e_1,X1)|~product(X0,e_2,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f74,f90])).
% 0.14/0.48 fof(f100,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,X1,e_1)|~product(X0,X1,e_2))),
% 0.14/0.48 inference(resolution,[status(thm)],[f74,f88])).
% 0.14/0.48 fof(f101,plain,(
% 0.14/0.48 ![X0,X1,X2,X3]: (~product(X0,e_1,X1)|~product(X2,e_2,X1)|~product(X3,X0,e_1)|~product(X3,X2,e_2))),
% 0.14/0.48 inference(resolution,[status(thm)],[f74,f97])).
% 0.14/0.48 fof(f103,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,e_1,e_2)|~product(X1,X0,e_1)|~product(X1,e_2,e_2))),
% 0.14/0.48 inference(resolution,[status(thm)],[f101,f93])).
% 0.14/0.48 fof(f105,plain,(
% 0.14/0.48 ~product(e_1,e_2,e_2)),
% 0.14/0.48 inference(resolution,[status(thm)],[f98,f93])).
% 0.14/0.48 fof(f106,plain,(
% 0.14/0.48 ~product(e_2,e_1,e_2)),
% 0.14/0.48 inference(resolution,[status(thm)],[f99,f93])).
% 0.14/0.48 fof(f107,plain,(
% 0.14/0.48 ~product(e_2,e_2,e_1)),
% 0.14/0.48 inference(resolution,[status(thm)],[f100,f93])).
% 0.14/0.48 fof(f108,plain,(
% 0.14/0.48 ![X0,X1]: (~product(e_1,X0,X1)|~product(e_3,X0,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f75,f92])).
% 0.14/0.48 fof(f109,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,e_1,X1)|~product(X0,e_3,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f75,f90])).
% 0.14/0.48 fof(f110,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,X1,e_1)|~product(X0,X1,e_3))),
% 0.14/0.48 inference(resolution,[status(thm)],[f75,f88])).
% 0.14/0.48 fof(f112,plain,(
% 0.14/0.48 ![X0,X1,X2,X3]: (~product(e_1,X0,X1)|~product(e_3,X2,X1)|~product(X3,e_1,X0)|~product(X3,e_3,X2))),
% 0.14/0.48 inference(resolution,[status(thm)],[f75,f95])).
% 0.14/0.48 fof(f113,plain,(
% 0.14/0.48 ![X0,X1]: (~product(e_1,X0,X1)|~product(e_4,X0,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f76,f92])).
% 0.14/0.48 fof(f114,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,e_1,X1)|~product(X0,e_4,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f76,f90])).
% 0.14/0.48 fof(f115,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,X1,e_1)|~product(X0,X1,e_4))),
% 0.14/0.48 inference(resolution,[status(thm)],[f76,f88])).
% 0.14/0.48 fof(f123,plain,(
% 0.14/0.48 ![X0,X1]: (~product(e_2,X0,X1)|~product(e_3,X0,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f78,f92])).
% 0.14/0.48 fof(f124,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,e_2,X1)|~product(X0,e_3,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f78,f90])).
% 0.14/0.48 fof(f125,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,X1,e_2)|~product(X0,X1,e_3))),
% 0.14/0.48 inference(resolution,[status(thm)],[f78,f88])).
% 0.14/0.48 fof(f128,plain,(
% 0.14/0.48 ![X0,X1]: (~product(e_2,X0,X1)|~product(e_4,X0,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f79,f92])).
% 0.14/0.48 fof(f129,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,e_2,X1)|~product(X0,e_4,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f79,f90])).
% 0.14/0.48 fof(f130,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,X1,e_2)|~product(X0,X1,e_4))),
% 0.14/0.48 inference(resolution,[status(thm)],[f79,f88])).
% 0.14/0.48 fof(f143,plain,(
% 0.14/0.48 ![X0,X1]: (~product(e_3,X0,X1)|~product(e_4,X0,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f82,f92])).
% 0.14/0.48 fof(f144,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,e_3,X1)|~product(X0,e_4,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f82,f90])).
% 0.14/0.48 fof(f145,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,X1,e_3)|~product(X0,X1,e_4))),
% 0.14/0.48 inference(resolution,[status(thm)],[f82,f88])).
% 0.14/0.48 fof(f146,plain,(
% 0.14/0.48 ![X0,X1,X2,X3]: (~product(X0,e_3,X1)|~product(X2,e_4,X1)|~product(X3,X0,e_3)|~product(X3,X2,e_4))),
% 0.14/0.48 inference(resolution,[status(thm)],[f82,f97])).
% 0.14/0.48 fof(f158,plain,(
% 0.14/0.48 ![X0,X1]: (~product(e_1,X0,e_3)|~product(X1,e_1,X0)|~product(X1,e_3,e_3))),
% 0.14/0.48 inference(resolution,[status(thm)],[f112,f93])).
% 0.14/0.48 fof(f160,plain,(
% 0.14/0.48 ~product(e_1,e_3,e_3)),
% 0.14/0.48 inference(resolution,[status(thm)],[f108,f93])).
% 0.14/0.48 fof(f161,plain,(
% 0.14/0.48 ~product(e_3,e_1,e_3)),
% 0.14/0.48 inference(resolution,[status(thm)],[f109,f93])).
% 0.14/0.48 fof(f162,plain,(
% 0.14/0.48 ~product(e_3,e_3,e_1)),
% 0.14/0.48 inference(resolution,[status(thm)],[f110,f93])).
% 0.14/0.48 fof(f163,plain,(
% 0.14/0.48 ~product(e_1,e_4,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f113,f93])).
% 0.14/0.48 fof(f164,plain,(
% 0.14/0.48 ~product(e_4,e_1,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f114,f93])).
% 0.14/0.48 fof(f175,plain,(
% 0.14/0.48 ~product(e_4,e_4,e_1)),
% 0.14/0.48 inference(resolution,[status(thm)],[f115,f93])).
% 0.14/0.48 fof(f176,plain,(
% 0.14/0.48 ~product(e_2,e_3,e_3)),
% 0.14/0.48 inference(resolution,[status(thm)],[f123,f93])).
% 0.14/0.48 fof(f179,plain,(
% 0.14/0.48 ![X0,X1]: (~cycle(e_1,X0)|~greater(X0,e_0)|~next(e_1,X1)|equalish(e_1,X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f69,f93])).
% 0.14/0.48 fof(f180,definition,(
% 0.14/0.48 ![X0]: (sQ0_spl <=> (~cycle(e_1,X0)|~greater(X0,e_0)))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f181,plain,(
% 0.14/0.48 ![X0]: (~cycle(e_1,X0)|~greater(X0,e_0)|~sQ0_spl)),
% 0.14/0.48 inference(component_clause,[status(thm)],[f180])).
% 0.14/0.48 fof(f183,definition,(
% 0.14/0.48 ![X1]: (sQ1_spl <=> (~next(e_1,X1)|equalish(e_1,X1)))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f184,plain,(
% 0.14/0.48 ![X0]: (~next(e_1,X0)|equalish(e_1,X0)|~sQ1_spl)),
% 0.14/0.48 inference(component_clause,[status(thm)],[f183])).
% 0.14/0.48 fof(f186,plain,(
% 0.14/0.48 sQ0_spl|sQ1_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f179,f180,f183])).
% 0.14/0.48 fof(f189,plain,(
% 0.14/0.48 ~greater(e_3,e_0)|~group_element(e_1)|cycle(e_1,e_0)|cycle(e_1,e_1)|cycle(e_1,e_2)|~sQ0_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f181,f61])).
% 0.14/0.48 fof(f190,definition,(
% 0.14/0.48 sQ2_spl <=> (greater(e_3,e_0))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f192,plain,(
% 0.14/0.48 ~greater(e_3,e_0)|sQ2_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f190])).
% 0.14/0.48 fof(f193,definition,(
% 0.14/0.48 sQ3_spl <=> (group_element(e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f195,plain,(
% 0.14/0.48 ~group_element(e_1)|sQ3_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f193])).
% 0.14/0.48 fof(f196,definition,(
% 0.14/0.48 sQ4_spl <=> (cycle(e_1,e_0))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f197,plain,(
% 0.14/0.48 cycle(e_1,e_0)|~sQ4_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f196])).
% 0.14/0.48 fof(f199,definition,(
% 0.14/0.48 sQ5_spl <=> (cycle(e_1,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f200,plain,(
% 0.14/0.48 cycle(e_1,e_1)|~sQ5_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f199])).
% 0.14/0.48 fof(f202,definition,(
% 0.14/0.48 sQ6_spl <=> (cycle(e_1,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f203,plain,(
% 0.14/0.48 cycle(e_1,e_2)|~sQ6_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f202])).
% 0.14/0.48 fof(f205,plain,(
% 0.14/0.48 ~sQ2_spl|~sQ3_spl|sQ4_spl|sQ5_spl|sQ6_spl|~sQ0_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f189,f190,f193,f196,f199,f202,f180])).
% 0.14/0.48 fof(f208,plain,(
% 0.14/0.48 equalish(e_1,e_2)|~sQ1_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f184,f46])).
% 0.14/0.48 fof(f209,plain,(
% 0.14/0.48 $false|~sQ1_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f208,f74])).
% 0.14/0.48 fof(f210,plain,(
% 0.14/0.48 ~sQ1_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f209])).
% 0.14/0.48 fof(f217,plain,(
% 0.14/0.48 ~greater(e_2,e_0)|~sQ0_spl|~sQ6_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f181,f203])).
% 0.14/0.48 fof(f219,plain,(
% 0.14/0.48 $false|~sQ0_spl|~sQ6_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f217,f50])).
% 0.14/0.48 fof(f220,plain,(
% 0.14/0.48 ~sQ0_spl|~sQ6_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f219])).
% 0.14/0.48 fof(f222,plain,(
% 0.14/0.48 ~product(e_3,e_2,e_3)),
% 0.14/0.48 inference(resolution,[status(thm)],[f124,f93])).
% 0.14/0.48 fof(f223,plain,(
% 0.14/0.48 ~product(e_3,e_3,e_2)),
% 0.14/0.48 inference(resolution,[status(thm)],[f125,f93])).
% 0.14/0.48 fof(f224,plain,(
% 0.14/0.48 ~greater(e_1,e_0)|~sQ5_spl|~sQ0_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f200,f181])).
% 0.14/0.48 fof(f227,plain,(
% 0.14/0.48 $false|~sQ5_spl|~sQ0_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f224,f49])).
% 0.14/0.48 fof(f228,plain,(
% 0.14/0.48 ~sQ5_spl|~sQ0_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f227])).
% 0.14/0.48 fof(f230,plain,(
% 0.14/0.48 ![X0]: (~product(e_1,e_1,X0)|~greater(X0,e_1)|~sQ4_spl)),
% 0.14/0.48 inference(resolution,[status(thm)],[f197,f67])).
% 0.14/0.48 fof(f234,plain,(
% 0.14/0.48 ~product(e_2,e_4,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f128,f93])).
% 0.14/0.48 fof(f235,plain,(
% 0.14/0.48 ![X0]: (~group_element(X0)|product(X0,e_4,e_1)|product(X0,e_4,e_2)|product(X0,e_4,e_3)|product(X0,e_4,e_4))),
% 0.14/0.48 inference(resolution,[status(thm)],[f86,f73])).
% 0.14/0.48 fof(f236,plain,(
% 0.14/0.48 ![X0]: (~group_element(X0)|product(X0,e_3,e_1)|product(X0,e_3,e_2)|product(X0,e_3,e_3)|product(X0,e_3,e_4))),
% 0.14/0.48 inference(resolution,[status(thm)],[f86,f72])).
% 0.14/0.48 fof(f237,plain,(
% 0.14/0.48 ![X0]: (~group_element(X0)|product(X0,e_2,e_1)|product(X0,e_2,e_2)|product(X0,e_2,e_3)|product(X0,e_2,e_4))),
% 0.14/0.48 inference(resolution,[status(thm)],[f86,f71])).
% 0.14/0.48 fof(f238,plain,(
% 0.14/0.48 ![X0]: (~group_element(X0)|product(X0,e_1,e_1)|product(X0,e_1,e_2)|product(X0,e_1,e_3)|product(X0,e_1,e_4))),
% 0.14/0.48 inference(resolution,[status(thm)],[f86,f70])).
% 0.14/0.48 fof(f240,plain,(
% 0.14/0.48 ~product(e_4,e_2,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f129,f93])).
% 0.14/0.48 fof(f242,plain,(
% 0.14/0.48 ~product(e_4,e_4,e_2)),
% 0.14/0.48 inference(resolution,[status(thm)],[f130,f93])).
% 0.14/0.48 fof(f244,plain,(
% 0.14/0.48 ~product(e_3,e_4,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f143,f93])).
% 0.14/0.48 fof(f245,plain,(
% 0.14/0.48 ~product(e_4,e_3,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f144,f93])).
% 0.14/0.48 fof(f246,plain,(
% 0.14/0.48 ~product(e_4,e_4,e_3)),
% 0.14/0.48 inference(resolution,[status(thm)],[f145,f93])).
% 0.14/0.48 fof(f247,plain,(
% 0.14/0.48 ![X0,X1]: (~product(X0,e_3,e_4)|~product(X1,X0,e_3)|~product(X1,e_4,e_4))),
% 0.14/0.48 inference(resolution,[status(thm)],[f146,f93])).
% 0.14/0.48 fof(f257,definition,(
% 0.14/0.48 sQ9_spl <=> (group_element(e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f259,plain,(
% 0.14/0.48 ~group_element(e_4)|sQ9_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f257])).
% 0.14/0.48 fof(f278,plain,(
% 0.14/0.48 $false|sQ9_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f259,f73])).
% 0.14/0.48 fof(f279,plain,(
% 0.14/0.48 sQ9_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f278])).
% 0.14/0.48 fof(f299,plain,(
% 0.14/0.48 $false|sQ3_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f195,f70])).
% 0.14/0.48 fof(f300,plain,(
% 0.14/0.48 sQ3_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f299])).
% 0.14/0.48 fof(f301,plain,(
% 0.14/0.48 $false|sQ2_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f192,f51])).
% 0.14/0.48 fof(f302,plain,(
% 0.14/0.48 sQ2_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f301])).
% 0.14/0.48 fof(f337,plain,(
% 0.14/0.48 product(e_4,e_4,e_1)|product(e_4,e_4,e_2)|product(e_4,e_4,e_3)|product(e_4,e_4,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f235,f73])).
% 0.14/0.48 fof(f338,plain,(
% 0.14/0.48 product(e_3,e_4,e_1)|product(e_3,e_4,e_2)|product(e_3,e_4,e_3)|product(e_3,e_4,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f235,f72])).
% 0.14/0.48 fof(f340,plain,(
% 0.14/0.48 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)),
% 0.14/0.48 inference(resolution,[status(thm)],[f235,f70])).
% 0.14/0.48 fof(f341,definition,(
% 0.14/0.48 sQ22_spl <=> (product(e_4,e_4,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f342,plain,(
% 0.14/0.48 product(e_4,e_4,e_1)|~sQ22_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f341])).
% 0.14/0.48 fof(f344,definition,(
% 0.14/0.48 sQ23_spl <=> (product(e_4,e_4,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f345,plain,(
% 0.14/0.48 product(e_4,e_4,e_2)|~sQ23_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f344])).
% 0.14/0.48 fof(f347,definition,(
% 0.14/0.48 sQ24_spl <=> (product(e_4,e_4,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f348,plain,(
% 0.14/0.48 product(e_4,e_4,e_3)|~sQ24_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f347])).
% 0.14/0.48 fof(f350,definition,(
% 0.14/0.48 sQ25_spl <=> (product(e_4,e_4,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f353,plain,(
% 0.14/0.48 sQ22_spl|sQ23_spl|sQ24_spl|sQ25_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f337,f341,f344,f347,f350])).
% 0.14/0.48 fof(f354,definition,(
% 0.14/0.48 sQ26_spl <=> (product(e_3,e_4,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f355,plain,(
% 0.14/0.48 product(e_3,e_4,e_1)|~sQ26_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f354])).
% 0.14/0.48 fof(f357,definition,(
% 0.14/0.48 sQ27_spl <=> (product(e_3,e_4,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f358,plain,(
% 0.14/0.48 product(e_3,e_4,e_2)|~sQ27_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f357])).
% 0.14/0.48 fof(f360,definition,(
% 0.14/0.48 sQ28_spl <=> (product(e_3,e_4,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f361,plain,(
% 0.14/0.48 product(e_3,e_4,e_3)|~sQ28_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f360])).
% 0.14/0.48 fof(f363,definition,(
% 0.14/0.48 sQ29_spl <=> (product(e_3,e_4,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f364,plain,(
% 0.14/0.48 product(e_3,e_4,e_4)|~sQ29_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f363])).
% 0.14/0.48 fof(f366,plain,(
% 0.14/0.48 sQ26_spl|sQ27_spl|sQ28_spl|sQ29_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f338,f354,f357,f360,f363])).
% 0.14/0.48 fof(f376,definition,(
% 0.14/0.48 sQ33_spl <=> (product(e_2,e_4,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f377,plain,(
% 0.14/0.48 product(e_2,e_4,e_4)|~sQ33_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f376])).
% 0.14/0.48 fof(f380,definition,(
% 0.14/0.48 sQ34_spl <=> (product(e_1,e_4,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f381,plain,(
% 0.14/0.48 product(e_1,e_4,e_1)|~sQ34_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f380])).
% 0.14/0.48 fof(f383,definition,(
% 0.14/0.48 sQ35_spl <=> (product(e_1,e_4,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f384,plain,(
% 0.14/0.48 product(e_1,e_4,e_2)|~sQ35_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f383])).
% 0.14/0.48 fof(f386,definition,(
% 0.14/0.48 sQ36_spl <=> (product(e_1,e_4,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f387,plain,(
% 0.14/0.48 product(e_1,e_4,e_3)|~sQ36_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f386])).
% 0.14/0.48 fof(f389,definition,(
% 0.14/0.48 sQ37_spl <=> (product(e_1,e_4,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f390,plain,(
% 0.14/0.48 product(e_1,e_4,e_4)|~sQ37_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f389])).
% 0.14/0.48 fof(f392,plain,(
% 0.14/0.48 sQ34_spl|sQ35_spl|sQ36_spl|sQ37_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f340,f380,f383,f386,f389])).
% 0.14/0.48 fof(f393,plain,(
% 0.14/0.48 $false|~sQ37_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f390,f163])).
% 0.14/0.48 fof(f394,plain,(
% 0.14/0.48 ~sQ37_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f393])).
% 0.14/0.48 fof(f395,plain,(
% 0.14/0.48 $false|~sQ33_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f377,f234])).
% 0.14/0.48 fof(f396,plain,(
% 0.14/0.48 ~sQ33_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f395])).
% 0.14/0.48 fof(f397,plain,(
% 0.14/0.48 $false|~sQ29_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f364,f244])).
% 0.14/0.48 fof(f398,plain,(
% 0.14/0.48 ~sQ29_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f397])).
% 0.14/0.48 fof(f399,plain,(
% 0.14/0.48 $false|~sQ24_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f348,f246])).
% 0.14/0.48 fof(f400,plain,(
% 0.14/0.48 ~sQ24_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f399])).
% 0.14/0.48 fof(f401,plain,(
% 0.14/0.48 $false|~sQ23_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f345,f242])).
% 0.14/0.48 fof(f402,plain,(
% 0.14/0.48 ~sQ23_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f401])).
% 0.14/0.48 fof(f403,plain,(
% 0.14/0.48 $false|~sQ22_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f342,f175])).
% 0.14/0.48 fof(f404,plain,(
% 0.14/0.48 ~sQ22_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f403])).
% 0.14/0.48 fof(f405,plain,(
% 0.14/0.48 product(e_4,e_3,e_1)|product(e_4,e_3,e_2)|product(e_4,e_3,e_3)|product(e_4,e_3,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f236,f73])).
% 0.14/0.48 fof(f407,plain,(
% 0.14/0.48 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)),
% 0.14/0.48 inference(resolution,[status(thm)],[f236,f71])).
% 0.14/0.48 fof(f408,plain,(
% 0.14/0.48 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)),
% 0.14/0.48 inference(resolution,[status(thm)],[f236,f70])).
% 0.14/0.48 fof(f409,definition,(
% 0.14/0.48 sQ38_spl <=> (product(e_4,e_3,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f410,plain,(
% 0.14/0.48 product(e_4,e_3,e_1)|~sQ38_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f409])).
% 0.14/0.48 fof(f412,definition,(
% 0.14/0.48 sQ39_spl <=> (product(e_4,e_3,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f413,plain,(
% 0.14/0.48 product(e_4,e_3,e_2)|~sQ39_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f412])).
% 0.14/0.48 fof(f415,definition,(
% 0.14/0.48 sQ40_spl <=> (product(e_4,e_3,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f416,plain,(
% 0.14/0.48 product(e_4,e_3,e_3)|~sQ40_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f415])).
% 0.14/0.48 fof(f418,definition,(
% 0.14/0.48 sQ41_spl <=> (product(e_4,e_3,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f419,plain,(
% 0.14/0.48 product(e_4,e_3,e_4)|~sQ41_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f418])).
% 0.14/0.48 fof(f421,plain,(
% 0.14/0.48 sQ38_spl|sQ39_spl|sQ40_spl|sQ41_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f405,f409,f412,f415,f418])).
% 0.14/0.48 fof(f422,definition,(
% 0.14/0.48 sQ42_spl <=> (product(e_3,e_3,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f423,plain,(
% 0.14/0.48 product(e_3,e_3,e_1)|~sQ42_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f422])).
% 0.14/0.48 fof(f425,definition,(
% 0.14/0.48 sQ43_spl <=> (product(e_3,e_3,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f426,plain,(
% 0.14/0.48 product(e_3,e_3,e_2)|~sQ43_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f425])).
% 0.14/0.48 fof(f435,definition,(
% 0.14/0.48 sQ46_spl <=> (product(e_2,e_3,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f436,plain,(
% 0.14/0.48 product(e_2,e_3,e_1)|~sQ46_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f435])).
% 0.14/0.48 fof(f438,definition,(
% 0.14/0.48 sQ47_spl <=> (product(e_2,e_3,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f439,plain,(
% 0.14/0.48 product(e_2,e_3,e_2)|~sQ47_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f438])).
% 0.14/0.48 fof(f441,definition,(
% 0.14/0.48 sQ48_spl <=> (product(e_2,e_3,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f442,plain,(
% 0.14/0.48 product(e_2,e_3,e_3)|~sQ48_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f441])).
% 0.14/0.48 fof(f444,definition,(
% 0.14/0.48 sQ49_spl <=> (product(e_2,e_3,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f445,plain,(
% 0.14/0.48 product(e_2,e_3,e_4)|~sQ49_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f444])).
% 0.14/0.48 fof(f447,plain,(
% 0.14/0.48 sQ46_spl|sQ47_spl|sQ48_spl|sQ49_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f407,f435,f438,f441,f444])).
% 0.14/0.48 fof(f448,definition,(
% 0.14/0.48 sQ50_spl <=> (product(e_1,e_3,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f449,plain,(
% 0.14/0.48 product(e_1,e_3,e_1)|~sQ50_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f448])).
% 0.14/0.48 fof(f451,definition,(
% 0.14/0.48 sQ51_spl <=> (product(e_1,e_3,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f452,plain,(
% 0.14/0.48 product(e_1,e_3,e_2)|~sQ51_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f451])).
% 0.14/0.48 fof(f454,definition,(
% 0.14/0.48 sQ52_spl <=> (product(e_1,e_3,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f455,plain,(
% 0.14/0.48 product(e_1,e_3,e_3)|~sQ52_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f454])).
% 0.14/0.48 fof(f457,definition,(
% 0.14/0.48 sQ53_spl <=> (product(e_1,e_3,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f458,plain,(
% 0.14/0.48 product(e_1,e_3,e_4)|~sQ53_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f457])).
% 0.14/0.48 fof(f460,plain,(
% 0.14/0.48 sQ50_spl|sQ51_spl|sQ52_spl|sQ53_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f408,f448,f451,f454,f457])).
% 0.14/0.48 fof(f461,plain,(
% 0.14/0.48 $false|~sQ52_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f455,f160])).
% 0.14/0.48 fof(f462,plain,(
% 0.14/0.48 ~sQ52_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f461])).
% 0.14/0.48 fof(f463,plain,(
% 0.14/0.48 $false|~sQ48_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f442,f176])).
% 0.14/0.48 fof(f464,plain,(
% 0.14/0.48 ~sQ48_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f463])).
% 0.14/0.48 fof(f465,plain,(
% 0.14/0.48 $false|~sQ43_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f426,f223])).
% 0.14/0.48 fof(f466,plain,(
% 0.14/0.48 ~sQ43_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f465])).
% 0.14/0.48 fof(f467,plain,(
% 0.14/0.48 $false|~sQ42_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f423,f162])).
% 0.14/0.48 fof(f468,plain,(
% 0.14/0.48 ~sQ42_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f467])).
% 0.14/0.48 fof(f469,plain,(
% 0.14/0.48 $false|~sQ41_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f419,f245])).
% 0.14/0.48 fof(f470,plain,(
% 0.14/0.48 ~sQ41_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f469])).
% 0.14/0.48 fof(f478,definition,(
% 0.14/0.48 sQ55_spl <=> (group_element(e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f480,plain,(
% 0.14/0.48 ~group_element(e_2)|sQ55_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f478])).
% 0.14/0.48 fof(f491,plain,(
% 0.14/0.48 $false|sQ55_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f480,f71])).
% 0.14/0.48 fof(f492,plain,(
% 0.14/0.48 sQ55_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f491])).
% 0.14/0.48 fof(f507,plain,(
% 0.14/0.48 ![X0]: (~product(X0,e_1,e_4)|~product(X0,e_3,e_3)|~sQ36_spl)),
% 0.14/0.48 inference(resolution,[status(thm)],[f387,f158])).
% 0.14/0.48 fof(f511,plain,(
% 0.14/0.48 ~product(e_1,e_2,e_3)|~sQ36_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f387,f129])).
% 0.14/0.48 fof(f518,plain,(
% 0.14/0.48 ~product(e_1,e_3,e_2)|~sQ35_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f384,f144])).
% 0.14/0.48 fof(f528,plain,(
% 0.14/0.48 ~product(e_1,e_1,e_1)|~sQ34_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f381,f114])).
% 0.14/0.48 fof(f530,plain,(
% 0.14/0.48 $false|~sQ34_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f528,f93])).
% 0.14/0.48 fof(f531,plain,(
% 0.14/0.48 ~sQ34_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f530])).
% 0.14/0.48 fof(f569,plain,(
% 0.14/0.48 ~product(e_3,e_3,e_3)|~sQ28_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f361,f144])).
% 0.14/0.48 fof(f576,plain,(
% 0.14/0.48 $false|~sQ28_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f569,f93])).
% 0.14/0.48 fof(f577,plain,(
% 0.14/0.48 ~sQ28_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f576])).
% 0.14/0.48 fof(f580,plain,(
% 0.14/0.48 ~product(e_1,e_4,e_2)|~sQ27_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f358,f108])).
% 0.14/0.48 fof(f589,plain,(
% 0.14/0.48 $false|~sQ35_spl|~sQ27_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f580,f384])).
% 0.14/0.48 fof(f590,plain,(
% 0.14/0.48 ~sQ35_spl|~sQ27_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f589])).
% 0.14/0.48 fof(f591,plain,(
% 0.14/0.48 product(e_4,e_2,e_1)|product(e_4,e_2,e_2)|product(e_4,e_2,e_3)|product(e_4,e_2,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f237,f73])).
% 0.14/0.48 fof(f593,plain,(
% 0.14/0.48 product(e_2,e_2,e_1)|product(e_2,e_2,e_2)|product(e_2,e_2,e_3)|product(e_2,e_2,e_4)),
% 0.14/0.48 inference(resolution,[status(thm)],[f237,f71])).
% 0.14/0.48 fof(f594,plain,(
% 0.14/0.48 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)),
% 0.14/0.48 inference(resolution,[status(thm)],[f237,f70])).
% 0.14/0.48 fof(f595,definition,(
% 0.14/0.48 sQ59_spl <=> (product(e_4,e_2,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f596,plain,(
% 0.14/0.48 product(e_4,e_2,e_1)|~sQ59_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f595])).
% 0.14/0.48 fof(f598,definition,(
% 0.14/0.48 sQ60_spl <=> (product(e_4,e_2,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f601,definition,(
% 0.14/0.48 sQ61_spl <=> (product(e_4,e_2,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f602,plain,(
% 0.14/0.48 product(e_4,e_2,e_3)|~sQ61_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f601])).
% 0.14/0.48 fof(f604,definition,(
% 0.14/0.48 sQ62_spl <=> (product(e_4,e_2,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f605,plain,(
% 0.14/0.48 product(e_4,e_2,e_4)|~sQ62_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f604])).
% 0.14/0.48 fof(f607,plain,(
% 0.14/0.48 sQ59_spl|sQ60_spl|sQ61_spl|sQ62_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f591,f595,f598,f601,f604])).
% 0.14/0.48 fof(f611,definition,(
% 0.14/0.48 sQ64_spl <=> (product(e_3,e_2,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f612,plain,(
% 0.14/0.48 product(e_3,e_2,e_2)|~sQ64_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f611])).
% 0.14/0.48 fof(f614,definition,(
% 0.14/0.48 sQ65_spl <=> (product(e_3,e_2,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f615,plain,(
% 0.14/0.48 product(e_3,e_2,e_3)|~sQ65_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f614])).
% 0.14/0.48 fof(f621,definition,(
% 0.14/0.48 sQ67_spl <=> (product(e_2,e_2,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f622,plain,(
% 0.14/0.48 product(e_2,e_2,e_1)|~sQ67_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f621])).
% 0.14/0.48 fof(f624,definition,(
% 0.14/0.48 sQ68_spl <=> (product(e_2,e_2,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f627,definition,(
% 0.14/0.48 sQ69_spl <=> (product(e_2,e_2,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f628,plain,(
% 0.14/0.48 product(e_2,e_2,e_3)|~sQ69_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f627])).
% 0.14/0.48 fof(f630,definition,(
% 0.14/0.48 sQ70_spl <=> (product(e_2,e_2,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f631,plain,(
% 0.14/0.48 product(e_2,e_2,e_4)|~sQ70_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f630])).
% 0.14/0.48 fof(f633,plain,(
% 0.14/0.48 sQ67_spl|sQ68_spl|sQ69_spl|sQ70_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f593,f621,f624,f627,f630])).
% 0.14/0.48 fof(f634,definition,(
% 0.14/0.48 sQ71_spl <=> (product(e_1,e_2,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f635,plain,(
% 0.14/0.48 product(e_1,e_2,e_1)|~sQ71_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f634])).
% 0.14/0.48 fof(f637,definition,(
% 0.14/0.48 sQ72_spl <=> (product(e_1,e_2,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f638,plain,(
% 0.14/0.48 product(e_1,e_2,e_2)|~sQ72_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f637])).
% 0.14/0.48 fof(f640,definition,(
% 0.14/0.48 sQ73_spl <=> (product(e_1,e_2,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f641,plain,(
% 0.14/0.48 product(e_1,e_2,e_3)|~sQ73_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f640])).
% 0.14/0.48 fof(f643,definition,(
% 0.14/0.48 sQ74_spl <=> (product(e_1,e_2,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f646,plain,(
% 0.14/0.48 sQ71_spl|sQ72_spl|sQ73_spl|sQ74_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f594,f634,f637,f640,f643])).
% 0.14/0.48 fof(f647,plain,(
% 0.14/0.48 $false|~sQ72_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f638,f105])).
% 0.14/0.48 fof(f648,plain,(
% 0.14/0.48 ~sQ72_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f647])).
% 0.14/0.48 fof(f649,plain,(
% 0.14/0.48 $false|~sQ67_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f622,f107])).
% 0.14/0.48 fof(f650,plain,(
% 0.14/0.48 ~sQ67_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f649])).
% 0.14/0.48 fof(f651,plain,(
% 0.14/0.48 $false|~sQ65_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f615,f222])).
% 0.14/0.48 fof(f652,plain,(
% 0.14/0.48 ~sQ65_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f651])).
% 0.14/0.48 fof(f653,plain,(
% 0.14/0.48 $false|~sQ62_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f605,f240])).
% 0.14/0.48 fof(f654,plain,(
% 0.14/0.48 ~sQ62_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f653])).
% 0.14/0.48 fof(f656,plain,(
% 0.14/0.48 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)),
% 0.14/0.48 inference(resolution,[status(thm)],[f238,f72])).
% 0.14/0.48 fof(f658,plain,(
% 0.14/0.48 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)),
% 0.14/0.48 inference(resolution,[status(thm)],[f238,f70])).
% 0.14/0.48 fof(f659,definition,(
% 0.14/0.48 sQ75_spl <=> (product(e_4,e_1,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f660,plain,(
% 0.14/0.48 product(e_4,e_1,e_1)|~sQ75_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f659])).
% 0.14/0.48 fof(f668,definition,(
% 0.14/0.48 sQ78_spl <=> (product(e_4,e_1,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f669,plain,(
% 0.14/0.48 product(e_4,e_1,e_4)|~sQ78_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f668])).
% 0.14/0.48 fof(f672,definition,(
% 0.14/0.48 sQ79_spl <=> (product(e_3,e_1,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f673,plain,(
% 0.14/0.48 product(e_3,e_1,e_1)|~sQ79_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f672])).
% 0.14/0.48 fof(f675,definition,(
% 0.14/0.48 sQ80_spl <=> (product(e_3,e_1,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f676,plain,(
% 0.14/0.48 product(e_3,e_1,e_2)|~sQ80_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f675])).
% 0.14/0.48 fof(f678,definition,(
% 0.14/0.48 sQ81_spl <=> (product(e_3,e_1,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f679,plain,(
% 0.14/0.48 product(e_3,e_1,e_3)|~sQ81_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f678])).
% 0.14/0.48 fof(f681,definition,(
% 0.14/0.48 sQ82_spl <=> (product(e_3,e_1,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f682,plain,(
% 0.14/0.48 product(e_3,e_1,e_4)|~sQ82_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f681])).
% 0.14/0.48 fof(f684,plain,(
% 0.14/0.48 sQ79_spl|sQ80_spl|sQ81_spl|sQ82_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f656,f672,f675,f678,f681])).
% 0.14/0.48 fof(f685,definition,(
% 0.14/0.48 sQ83_spl <=> (product(e_2,e_1,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f686,plain,(
% 0.14/0.48 product(e_2,e_1,e_1)|~sQ83_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f685])).
% 0.14/0.48 fof(f688,definition,(
% 0.14/0.48 sQ84_spl <=> (product(e_2,e_1,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f689,plain,(
% 0.14/0.48 product(e_2,e_1,e_2)|~sQ84_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f688])).
% 0.14/0.48 fof(f698,definition,(
% 0.14/0.48 sQ87_spl <=> (product(e_1,e_1,e_1))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f701,definition,(
% 0.14/0.48 sQ88_spl <=> (product(e_1,e_1,e_2))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f702,plain,(
% 0.14/0.48 product(e_1,e_1,e_2)|~sQ88_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f701])).
% 0.14/0.48 fof(f704,definition,(
% 0.14/0.48 sQ89_spl <=> (product(e_1,e_1,e_3))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f705,plain,(
% 0.14/0.48 product(e_1,e_1,e_3)|~sQ89_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f704])).
% 0.14/0.48 fof(f707,definition,(
% 0.14/0.48 sQ90_spl <=> (product(e_1,e_1,e_4))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f708,plain,(
% 0.14/0.48 product(e_1,e_1,e_4)|~sQ90_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f707])).
% 0.14/0.48 fof(f710,plain,(
% 0.14/0.48 sQ87_spl|sQ88_spl|sQ89_spl|sQ90_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f658,f698,f701,f704,f707])).
% 0.14/0.48 fof(f711,plain,(
% 0.14/0.48 $false|~sQ84_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f689,f106])).
% 0.14/0.48 fof(f712,plain,(
% 0.14/0.48 ~sQ84_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f711])).
% 0.14/0.48 fof(f713,plain,(
% 0.14/0.48 $false|~sQ81_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f679,f161])).
% 0.14/0.48 fof(f714,plain,(
% 0.14/0.48 ~sQ81_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f713])).
% 0.14/0.48 fof(f715,plain,(
% 0.14/0.48 $false|~sQ78_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f669,f164])).
% 0.14/0.48 fof(f716,plain,(
% 0.14/0.48 ~sQ78_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f715])).
% 0.14/0.48 fof(f749,plain,(
% 0.14/0.48 ![X0,X1]: (~product(e_1,X0,e_1)|~product(X1,e_1,X0)|~product(X1,e_3,e_4)|~sQ26_spl)),
% 0.14/0.48 inference(resolution,[status(thm)],[f355,f112])).
% 0.14/0.48 fof(f760,plain,(
% 0.14/0.48 ~product(e_1,e_2,e_4)|~sQ53_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f458,f124])).
% 0.14/0.48 fof(f767,plain,(
% 0.14/0.48 $false|~sQ35_spl|~sQ51_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f452,f518])).
% 0.14/0.48 fof(f768,plain,(
% 0.14/0.48 ~sQ35_spl|~sQ51_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f767])).
% 0.14/0.48 fof(f771,plain,(
% 0.14/0.48 ~product(e_1,e_1,e_1)|~sQ50_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f449,f109])).
% 0.14/0.48 fof(f773,plain,(
% 0.14/0.48 $false|~sQ50_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f771,f93])).
% 0.14/0.48 fof(f774,plain,(
% 0.14/0.48 ~sQ50_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f773])).
% 0.14/0.48 fof(f779,plain,(
% 0.14/0.48 ![X0]: (~product(X0,e_2,e_3)|~product(X0,e_4,e_4)|~sQ49_spl)),
% 0.14/0.48 inference(resolution,[status(thm)],[f445,f247])).
% 0.14/0.48 fof(f789,plain,(
% 0.14/0.48 ![X0]: (~product(X0,e_1,e_1)|~product(X0,e_3,e_4)|~sQ26_spl)),
% 0.14/0.48 inference(resolution,[status(thm)],[f749,f93])).
% 0.14/0.48 fof(f793,plain,(
% 0.14/0.48 ~product(e_2,e_2,e_2)|~sQ47_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f439,f124])).
% 0.14/0.48 fof(f798,plain,(
% 0.14/0.48 $false|~sQ47_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f793,f93])).
% 0.14/0.48 fof(f799,plain,(
% 0.14/0.48 ~sQ47_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f798])).
% 0.14/0.48 fof(f824,plain,(
% 0.14/0.48 ~product(e_3,e_3,e_3)|~sQ40_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f416,f143])).
% 0.14/0.48 fof(f835,plain,(
% 0.14/0.48 $false|~sQ40_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f824,f93])).
% 0.14/0.48 fof(f836,plain,(
% 0.14/0.48 ~sQ40_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f835])).
% 0.14/0.48 fof(f842,plain,(
% 0.14/0.48 ~product(e_1,e_3,e_2)|~sQ39_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f413,f113])).
% 0.14/0.48 fof(f852,plain,(
% 0.14/0.48 ~product(e_2,e_3,e_1)|~sQ38_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f410,f128])).
% 0.14/0.48 fof(f856,plain,(
% 0.14/0.48 ~product(e_4,e_2,e_1)|~sQ38_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f410,f124])).
% 0.14/0.49 fof(f860,plain,(
% 0.14/0.49 $false|~sQ46_spl|~sQ38_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f852,f436])).
% 0.14/0.49 fof(f861,plain,(
% 0.14/0.49 ~sQ46_spl|~sQ38_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f860])).
% 0.14/0.49 fof(f870,plain,(
% 0.14/0.49 ~product(e_1,e_1,e_1)|~sQ26_spl|~sQ53_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f789,f458])).
% 0.14/0.49 fof(f871,plain,(
% 0.14/0.49 $false|~sQ26_spl|~sQ53_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f870,f93])).
% 0.14/0.49 fof(f872,plain,(
% 0.14/0.49 ~sQ26_spl|~sQ53_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f871])).
% 0.14/0.49 fof(f877,plain,(
% 0.14/0.49 ~product(e_1,e_1,e_1)|~sQ71_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f635,f99])).
% 0.14/0.49 fof(f879,plain,(
% 0.14/0.49 $false|~sQ71_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f877,f93])).
% 0.14/0.49 fof(f880,plain,(
% 0.14/0.49 ~sQ71_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f879])).
% 0.14/0.49 fof(f888,plain,(
% 0.14/0.49 ~product(e_2,e_2,e_2)|~sQ70_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f631,f130])).
% 0.14/0.49 fof(f890,plain,(
% 0.14/0.49 $false|~sQ70_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f888,f93])).
% 0.14/0.49 fof(f891,plain,(
% 0.14/0.49 ~sQ70_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f890])).
% 0.14/0.49 fof(f898,plain,(
% 0.14/0.49 ~product(e_2,e_2,e_2)|~sQ69_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f628,f125])).
% 0.14/0.49 fof(f900,plain,(
% 0.14/0.49 $false|~sQ69_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f898,f93])).
% 0.14/0.49 fof(f901,plain,(
% 0.14/0.49 ~sQ69_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f900])).
% 0.14/0.49 fof(f915,plain,(
% 0.14/0.49 ~product(e_2,e_2,e_2)|~sQ64_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f612,f123])).
% 0.14/0.49 fof(f921,plain,(
% 0.14/0.49 $false|~sQ64_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f915,f93])).
% 0.14/0.49 fof(f922,plain,(
% 0.14/0.49 ~sQ64_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f921])).
% 0.14/0.49 fof(f952,plain,(
% 0.14/0.49 ~greater(e_4,e_1)|~sQ90_spl|~sQ4_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f708,f230])).
% 0.14/0.49 fof(f959,plain,(
% 0.14/0.49 $false|~sQ90_spl|~sQ4_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f952,f55])).
% 0.14/0.49 fof(f960,plain,(
% 0.14/0.49 ~sQ90_spl|~sQ4_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f959])).
% 0.14/0.49 fof(f961,plain,(
% 0.14/0.49 ~greater(e_3,e_1)|~sQ89_spl|~sQ4_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f705,f230])).
% 0.14/0.49 fof(f967,plain,(
% 0.14/0.49 $false|~sQ89_spl|~sQ4_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f961,f54])).
% 0.14/0.49 fof(f968,plain,(
% 0.14/0.49 ~sQ89_spl|~sQ4_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f967])).
% 0.14/0.49 fof(f969,plain,(
% 0.14/0.49 ~product(e_4,e_2,e_3)|~sQ49_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f779,f93])).
% 0.14/0.49 fof(f970,plain,(
% 0.14/0.49 $false|~sQ61_spl|~sQ49_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f969,f602])).
% 0.14/0.49 fof(f971,plain,(
% 0.14/0.49 ~sQ61_spl|~sQ49_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f970])).
% 0.14/0.49 fof(f972,plain,(
% 0.14/0.49 ~greater(e_2,e_1)|~sQ88_spl|~sQ4_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f702,f230])).
% 0.14/0.49 fof(f977,plain,(
% 0.14/0.49 $false|~sQ88_spl|~sQ4_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f972,f53])).
% 0.14/0.49 fof(f978,plain,(
% 0.14/0.49 ~sQ88_spl|~sQ4_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f977])).
% 0.14/0.49 fof(f1008,plain,(
% 0.14/0.49 ~product(e_1,e_1,e_1)|~sQ83_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f686,f98])).
% 0.14/0.49 fof(f1011,plain,(
% 0.14/0.49 $false|~sQ83_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1008,f93])).
% 0.14/0.49 fof(f1012,plain,(
% 0.14/0.49 ~sQ83_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f1011])).
% 0.14/0.49 fof(f1020,plain,(
% 0.14/0.49 ~product(e_3,e_3,e_3)|~sQ82_spl|~sQ36_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f682,f507])).
% 0.14/0.49 fof(f1026,plain,(
% 0.14/0.49 $false|~sQ82_spl|~sQ36_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1020,f93])).
% 0.14/0.49 fof(f1027,plain,(
% 0.14/0.49 ~sQ82_spl|~sQ36_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f1026])).
% 0.14/0.49 fof(f1032,plain,(
% 0.14/0.49 ![X0]: (~product(X0,e_3,e_1)|~product(X0,e_2,e_2)|~sQ80_spl)),
% 0.14/0.49 inference(resolution,[status(thm)],[f676,f103])).
% 0.14/0.49 fof(f1044,plain,(
% 0.14/0.49 ~product(e_1,e_1,e_1)|~sQ79_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f673,f108])).
% 0.14/0.49 fof(f1047,plain,(
% 0.14/0.49 $false|~sQ79_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1044,f93])).
% 0.14/0.49 fof(f1048,plain,(
% 0.14/0.49 ~sQ79_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f1047])).
% 0.14/0.49 fof(f1084,plain,(
% 0.14/0.49 ~product(e_1,e_1,e_1)|~sQ75_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f660,f113])).
% 0.14/0.49 fof(f1086,plain,(
% 0.14/0.49 $false|~sQ75_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1084,f93])).
% 0.14/0.49 fof(f1087,plain,(
% 0.14/0.49 ~sQ75_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f1086])).
% 0.14/0.49 fof(f1138,plain,(
% 0.14/0.49 $false|~sQ36_spl|~sQ73_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f641,f511])).
% 0.14/0.49 fof(f1139,plain,(
% 0.14/0.49 ~sQ36_spl|~sQ73_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f1138])).
% 0.14/0.49 fof(f1147,plain,(
% 0.14/0.49 ~product(e_4,e_2,e_2)|~sQ38_spl|~sQ80_spl),
% 0.14/0.49 inference(resolution,[status(thm)],[f410,f1032])).
% 0.14/0.49 fof(f1157,plain,(
% 0.14/0.49 $false|~sQ38_spl|~sQ59_spl),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f596,f856])).
% 0.14/0.49 fof(f1158,plain,(
% 0.14/0.49 ~sQ38_spl|~sQ59_spl),
% 0.14/0.49 inference(contradiction_clause,[status(thm)],[f1157])).
% 0.14/0.49 fof(f1159,plain,(
% 0.14/0.49 ~sQ51_spl|~sQ39_spl),
% 0.14/0.49 inference(split_clause,[status(thm)],[f842,f451,f412])).
% 0.14/0.49 fof(f1160,plain,(
% 0.14/0.49 ~sQ60_spl|~sQ38_spl|~sQ80_spl),
% 0.14/0.49 inference(split_clause,[status(thm)],[f1147,f598,f409,f675])).
% 0.14/0.49 fof(f1161,plain,(
% 0.14/0.49 ~sQ74_spl|~sQ53_spl),
% 0.14/0.49 inference(split_clause,[status(thm)],[f760,f643,f457])).
% 0.14/0.49 fof(f1165,plain,(
% 0.14/0.49 $false),
% 0.14/0.49 inference(sat_refutation,[status(thm)],[f186,f205,f210,f220,f228,f279,f300,f302,f353,f366,f392,f394,f396,f398,f400,f402,f404,f421,f447,f460,f462,f464,f466,f468,f470,f492,f531,f577,f590,f607,f633,f646,f648,f650,f652,f654,f684,f710,f712,f714,f716,f768,f774,f799,f836,f861,f872,f880,f891,f901,f922,f960,f968,f971,f978,f1012,f1027,f1048,f1087,f1139,f1158,f1159,f1160,f1161])).
% 0.14/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.52 % Elapsed time: 0.077253 seconds
% 0.14/0.52 % CPU time: 0.288922 seconds
% 0.14/0.52 % Total memory used: 20.073 MB
% 0.14/0.52 % Net memory used: 19.890 MB
%------------------------------------------------------------------------------