TSTP Solution File: GRP126-3.004 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP126-3.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:23 EDT 2024
% Result : Unsatisfiable 0.21s 0.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP126-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:14:41 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.21/0.50 % Refutation found
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.50 fof(f2,axiom,(
% 0.21/0.50 next(e_1,e_2) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f3,axiom,(
% 0.21/0.50 next(e_2,e_3) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f5,axiom,(
% 0.21/0.50 greater(e_1,e_0) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f6,axiom,(
% 0.21/0.50 greater(e_2,e_0) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f7,axiom,(
% 0.21/0.50 greater(e_3,e_0) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f9,axiom,(
% 0.21/0.50 greater(e_2,e_1) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f10,axiom,(
% 0.21/0.50 greater(e_3,e_1) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f11,axiom,(
% 0.21/0.50 greater(e_4,e_1) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f13,axiom,(
% 0.21/0.50 greater(e_4,e_2) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f14,axiom,(
% 0.21/0.50 greater(e_4,e_3) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f15,axiom,(
% 0.21/0.50 (![X,Y,Z]: (( ~ cycle(X,Y)| ~ cycle(X,Z)| equalish(Y,Z) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f16,axiom,(
% 0.21/0.50 (![X]: (( ~ group_element(X)| cycle(X,e_0)| cycle(X,e_1)| cycle(X,e_2)| cycle(X,e_3) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f17,axiom,(
% 0.21/0.50 cycle(e_4,e_0) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f18,axiom,(
% 0.21/0.50 (![X,Y,W,Z,Z1]: (( ~ cycle(X,Y)| ~ cycle(W,Z)| ~ next(X,W)| ~ greater(Y,e_0)| ~ next(Z,Z1)| equalish(Y,Z1) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f19,axiom,(
% 0.21/0.50 (![X,Z1,Y,W,Z2]: (( ~ cycle(X,Z1)| ~ cycle(Y,e_0)| ~ cycle(W,Z2)| ~ next(Y,W)| ~ greater(Y,X)| ~ greater(Z1,Z2) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f20,axiom,(
% 0.21/0.50 (![X,Y]: (( ~ cycle(X,e_0)| ~ product(X,e_1,Y)| ~ greater(Y,X) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f21,axiom,(
% 0.21/0.50 (![X,Y,Z,X1]: (( ~ cycle(X,Y)| ~ product(X,e_1,Z)| ~ greater(Y,e_0)| ~ next(X,X1)| equalish(Z,X1) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f22,axiom,(
% 0.21/0.50 group_element(e_1) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f23,axiom,(
% 0.21/0.50 group_element(e_2) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f24,axiom,(
% 0.21/0.50 group_element(e_3) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f25,axiom,(
% 0.21/0.50 group_element(e_4) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f26,axiom,(
% 0.21/0.50 ~ equalish(e_1,e_2) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f27,axiom,(
% 0.21/0.50 ~ equalish(e_1,e_3) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f28,axiom,(
% 0.21/0.50 ~ equalish(e_1,e_4) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f29,axiom,(
% 0.21/0.50 ~ equalish(e_2,e_1) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f30,axiom,(
% 0.21/0.50 ~ equalish(e_2,e_3) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f31,axiom,(
% 0.21/0.50 ~ equalish(e_2,e_4) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f32,axiom,(
% 0.21/0.50 ~ equalish(e_3,e_1) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f33,axiom,(
% 0.21/0.50 ~ equalish(e_3,e_2) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f34,axiom,(
% 0.21/0.50 ~ equalish(e_3,e_4) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f35,axiom,(
% 0.21/0.50 ~ equalish(e_4,e_1) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f36,axiom,(
% 0.21/0.50 ~ equalish(e_4,e_2) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f37,axiom,(
% 0.21/0.50 ~ equalish(e_4,e_3) ),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f38,axiom,(
% 0.21/0.50 (![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) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f39,axiom,(
% 0.21/0.50 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f40,axiom,(
% 0.21/0.50 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f41,axiom,(
% 0.21/0.50 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f42,axiom,(
% 0.21/0.50 (![X]: (product(X,X,X) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f43,negated_conjecture,(
% 0.21/0.50 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(Y,X,Z2)| product(Z1,Z2,Y) ) ))),
% 0.21/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.50 fof(f45,plain,(
% 0.21/0.50 next(e_1,e_2)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f2])).
% 0.21/0.50 fof(f46,plain,(
% 0.21/0.50 next(e_2,e_3)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f3])).
% 0.21/0.50 fof(f48,plain,(
% 0.21/0.50 greater(e_1,e_0)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f5])).
% 0.21/0.50 fof(f49,plain,(
% 0.21/0.50 greater(e_2,e_0)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.50 fof(f50,plain,(
% 0.21/0.50 greater(e_3,e_0)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f7])).
% 0.21/0.50 fof(f52,plain,(
% 0.21/0.50 greater(e_2,e_1)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.50 fof(f53,plain,(
% 0.21/0.50 greater(e_3,e_1)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f10])).
% 0.21/0.50 fof(f54,plain,(
% 0.21/0.50 greater(e_4,e_1)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f11])).
% 0.21/0.50 fof(f56,plain,(
% 0.21/0.50 greater(e_4,e_2)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f13])).
% 0.21/0.50 fof(f57,plain,(
% 0.21/0.50 greater(e_4,e_3)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.50 fof(f58,plain,(
% 0.21/0.50 ![Y,Z]: ((![X]: (~cycle(X,Y)|~cycle(X,Z)))|equalish(Y,Z))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f15])).
% 0.21/0.50 fof(f59,plain,(
% 0.21/0.50 ![X0,X1,X2]: (~cycle(X0,X1)|~cycle(X0,X2)|equalish(X1,X2))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f58])).
% 0.21/0.50 fof(f60,plain,(
% 0.21/0.50 ![X0]: (~group_element(X0)|cycle(X0,e_0)|cycle(X0,e_1)|cycle(X0,e_2)|cycle(X0,e_3))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f16])).
% 0.21/0.50 fof(f61,plain,(
% 0.21/0.50 cycle(e_4,e_0)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.50 fof(f62,plain,(
% 0.21/0.50 ![Y,Z1]: ((![Z]: (((![X,W]: ((~cycle(X,Y)|~cycle(W,Z))|~next(X,W)))|~greater(Y,e_0))|~next(Z,Z1)))|equalish(Y,Z1))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f18])).
% 0.21/0.50 fof(f63,plain,(
% 0.21/0.50 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(X0,X2)|~greater(X1,e_0)|~next(X3,X4)|equalish(X1,X4))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f62])).
% 0.21/0.50 fof(f64,plain,(
% 0.21/0.50 ![Z1,Z2]: ((![X,Y]: ((![W]: (((~cycle(X,Z1)|~cycle(Y,e_0))|~cycle(W,Z2))|~next(Y,W)))|~greater(Y,X)))|~greater(Z1,Z2))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f19])).
% 0.21/0.50 fof(f65,plain,(
% 0.21/0.50 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,e_0)|~cycle(X3,X4)|~next(X2,X3)|~greater(X2,X0)|~greater(X1,X4))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f64])).
% 0.21/0.50 fof(f66,plain,(
% 0.21/0.50 ![X0,X1]: (~cycle(X0,e_0)|~product(X0,e_1,X1)|~greater(X1,X0))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f20])).
% 0.21/0.50 fof(f67,plain,(
% 0.21/0.50 ![Z,X1]: ((![X]: ((![Y]: ((~cycle(X,Y)|~product(X,e_1,Z))|~greater(Y,e_0)))|~next(X,X1)))|equalish(Z,X1))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f21])).
% 0.21/0.50 fof(f68,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~cycle(X0,X1)|~product(X0,e_1,X2)|~greater(X1,e_0)|~next(X0,X3)|equalish(X2,X3))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f67])).
% 0.21/0.50 fof(f69,plain,(
% 0.21/0.50 group_element(e_1)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.50 fof(f70,plain,(
% 0.21/0.50 group_element(e_2)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f23])).
% 0.21/0.50 fof(f71,plain,(
% 0.21/0.50 group_element(e_3)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.50 fof(f72,plain,(
% 0.21/0.50 group_element(e_4)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f25])).
% 0.21/0.50 fof(f73,plain,(
% 0.21/0.50 ~equalish(e_1,e_2)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f26])).
% 0.21/0.50 fof(f74,plain,(
% 0.21/0.50 ~equalish(e_1,e_3)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f27])).
% 0.21/0.50 fof(f75,plain,(
% 0.21/0.50 ~equalish(e_1,e_4)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f28])).
% 0.21/0.50 fof(f76,plain,(
% 0.21/0.50 ~equalish(e_2,e_1)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f29])).
% 0.21/0.50 fof(f77,plain,(
% 0.21/0.50 ~equalish(e_2,e_3)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f30])).
% 0.21/0.50 fof(f78,plain,(
% 0.21/0.50 ~equalish(e_2,e_4)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.50 fof(f79,plain,(
% 0.21/0.50 ~equalish(e_3,e_1)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f32])).
% 0.21/0.50 fof(f80,plain,(
% 0.21/0.50 ~equalish(e_3,e_2)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f33])).
% 0.21/0.50 fof(f81,plain,(
% 0.21/0.50 ~equalish(e_3,e_4)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f34])).
% 0.21/0.50 fof(f82,plain,(
% 0.21/0.50 ~equalish(e_4,e_1)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f35])).
% 0.21/0.50 fof(f83,plain,(
% 0.21/0.50 ~equalish(e_4,e_2)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f36])).
% 0.21/0.50 fof(f84,plain,(
% 0.21/0.50 ~equalish(e_4,e_3)),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f37])).
% 0.21/0.50 fof(f85,plain,(
% 0.21/0.50 ![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))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f38])).
% 0.21/0.50 fof(f86,plain,(
% 0.21/0.50 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f39])).
% 0.21/0.50 fof(f87,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f86])).
% 0.21/0.50 fof(f88,plain,(
% 0.21/0.50 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f40])).
% 0.21/0.50 fof(f89,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f88])).
% 0.21/0.50 fof(f90,plain,(
% 0.21/0.50 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f41])).
% 0.21/0.50 fof(f91,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f90])).
% 0.21/0.50 fof(f92,plain,(
% 0.21/0.50 ![X0]: (product(X0,X0,X0))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f42])).
% 0.21/0.50 fof(f93,plain,(
% 0.21/0.50 ![Y,Z1,Z2]: ((![X]: (~product(X,Y,Z1)|~product(Y,X,Z2)))|product(Z1,Z2,Y))),
% 0.21/0.50 inference(miniscoping,[status(esa)],[f43])).
% 0.21/0.50 fof(f94,plain,(
% 0.21/0.50 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X1,X0,X3)|product(X2,X3,X1))),
% 0.21/0.50 inference(cnf_transformation,[status(esa)],[f93])).
% 0.21/0.50 fof(f97,plain,(
% 0.21/0.50 ![X0,X1]: (~product(X0,X0,X1)|equalish(X0,X1))),
% 0.21/0.50 inference(resolution,[status(thm)],[f87,f92])).
% 0.21/0.50 fof(f99,plain,(
% 0.21/0.50 ![X0,X1]: (~product(X0,X1,X0)|equalish(X0,X1))),
% 0.21/0.50 inference(resolution,[status(thm)],[f89,f92])).
% 0.21/0.50 fof(f101,plain,(
% 0.21/0.50 ![X0,X1]: (~product(X0,X1,X1)|equalish(X1,X0))),
% 0.21/0.50 inference(resolution,[status(thm)],[f91,f92])).
% 0.21/0.50 fof(f103,plain,(
% 0.21/0.50 spl0_0 <=> cycle(e_1,e_0)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f104,plain,(
% 0.21/0.50 cycle(e_1,e_0)|~spl0_0),
% 0.21/0.50 inference(component_clause,[status(thm)],[f103])).
% 0.21/0.50 fof(f106,plain,(
% 0.21/0.50 spl0_1 <=> greater(e_1,e_1)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f109,plain,(
% 0.21/0.50 ~cycle(e_1,e_0)|~greater(e_1,e_1)),
% 0.21/0.50 inference(resolution,[status(thm)],[f66,f92])).
% 0.21/0.50 fof(f110,plain,(
% 0.21/0.50 ~spl0_0|~spl0_1),
% 0.21/0.50 inference(split_clause,[status(thm)],[f109,f103,f106])).
% 0.21/0.50 fof(f113,plain,(
% 0.21/0.50 spl0_2 <=> cycle(e_4,e_0)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f116,plain,(
% 0.21/0.50 spl0_3 <=> cycle(e_4,e_1)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f117,plain,(
% 0.21/0.50 cycle(e_4,e_1)|~spl0_3),
% 0.21/0.50 inference(component_clause,[status(thm)],[f116])).
% 0.21/0.50 fof(f119,plain,(
% 0.21/0.50 spl0_4 <=> cycle(e_4,e_2)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f120,plain,(
% 0.21/0.50 cycle(e_4,e_2)|~spl0_4),
% 0.21/0.50 inference(component_clause,[status(thm)],[f119])).
% 0.21/0.50 fof(f122,plain,(
% 0.21/0.50 spl0_5 <=> cycle(e_4,e_3)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f123,plain,(
% 0.21/0.50 cycle(e_4,e_3)|~spl0_5),
% 0.21/0.50 inference(component_clause,[status(thm)],[f122])).
% 0.21/0.50 fof(f125,plain,(
% 0.21/0.50 cycle(e_4,e_0)|cycle(e_4,e_1)|cycle(e_4,e_2)|cycle(e_4,e_3)),
% 0.21/0.50 inference(resolution,[status(thm)],[f60,f72])).
% 0.21/0.50 fof(f126,plain,(
% 0.21/0.50 spl0_2|spl0_3|spl0_4|spl0_5),
% 0.21/0.50 inference(split_clause,[status(thm)],[f125,f113,f116,f119,f122])).
% 0.21/0.50 fof(f127,plain,(
% 0.21/0.50 spl0_6 <=> cycle(e_3,e_0)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f128,plain,(
% 0.21/0.50 cycle(e_3,e_0)|~spl0_6),
% 0.21/0.50 inference(component_clause,[status(thm)],[f127])).
% 0.21/0.50 fof(f130,plain,(
% 0.21/0.50 spl0_7 <=> cycle(e_3,e_1)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f131,plain,(
% 0.21/0.50 cycle(e_3,e_1)|~spl0_7),
% 0.21/0.50 inference(component_clause,[status(thm)],[f130])).
% 0.21/0.50 fof(f133,plain,(
% 0.21/0.50 spl0_8 <=> cycle(e_3,e_2)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f134,plain,(
% 0.21/0.50 cycle(e_3,e_2)|~spl0_8),
% 0.21/0.50 inference(component_clause,[status(thm)],[f133])).
% 0.21/0.50 fof(f136,plain,(
% 0.21/0.50 spl0_9 <=> cycle(e_3,e_3)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f137,plain,(
% 0.21/0.50 cycle(e_3,e_3)|~spl0_9),
% 0.21/0.50 inference(component_clause,[status(thm)],[f136])).
% 0.21/0.50 fof(f139,plain,(
% 0.21/0.50 cycle(e_3,e_0)|cycle(e_3,e_1)|cycle(e_3,e_2)|cycle(e_3,e_3)),
% 0.21/0.50 inference(resolution,[status(thm)],[f60,f71])).
% 0.21/0.50 fof(f140,plain,(
% 0.21/0.50 spl0_6|spl0_7|spl0_8|spl0_9),
% 0.21/0.50 inference(split_clause,[status(thm)],[f139,f127,f130,f133,f136])).
% 0.21/0.50 fof(f141,plain,(
% 0.21/0.50 spl0_10 <=> cycle(e_2,e_0)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f142,plain,(
% 0.21/0.50 cycle(e_2,e_0)|~spl0_10),
% 0.21/0.50 inference(component_clause,[status(thm)],[f141])).
% 0.21/0.50 fof(f144,plain,(
% 0.21/0.50 spl0_11 <=> cycle(e_2,e_1)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f145,plain,(
% 0.21/0.50 cycle(e_2,e_1)|~spl0_11),
% 0.21/0.50 inference(component_clause,[status(thm)],[f144])).
% 0.21/0.50 fof(f147,plain,(
% 0.21/0.50 spl0_12 <=> cycle(e_2,e_2)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f148,plain,(
% 0.21/0.50 cycle(e_2,e_2)|~spl0_12),
% 0.21/0.50 inference(component_clause,[status(thm)],[f147])).
% 0.21/0.50 fof(f150,plain,(
% 0.21/0.50 spl0_13 <=> cycle(e_2,e_3)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f151,plain,(
% 0.21/0.50 cycle(e_2,e_3)|~spl0_13),
% 0.21/0.50 inference(component_clause,[status(thm)],[f150])).
% 0.21/0.50 fof(f153,plain,(
% 0.21/0.50 cycle(e_2,e_0)|cycle(e_2,e_1)|cycle(e_2,e_2)|cycle(e_2,e_3)),
% 0.21/0.50 inference(resolution,[status(thm)],[f60,f70])).
% 0.21/0.50 fof(f154,plain,(
% 0.21/0.50 spl0_10|spl0_11|spl0_12|spl0_13),
% 0.21/0.50 inference(split_clause,[status(thm)],[f153,f141,f144,f147,f150])).
% 0.21/0.50 fof(f155,plain,(
% 0.21/0.50 spl0_14 <=> cycle(e_1,e_1)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f156,plain,(
% 0.21/0.50 cycle(e_1,e_1)|~spl0_14),
% 0.21/0.50 inference(component_clause,[status(thm)],[f155])).
% 0.21/0.50 fof(f158,plain,(
% 0.21/0.50 spl0_15 <=> cycle(e_1,e_2)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f159,plain,(
% 0.21/0.50 cycle(e_1,e_2)|~spl0_15),
% 0.21/0.50 inference(component_clause,[status(thm)],[f158])).
% 0.21/0.50 fof(f161,plain,(
% 0.21/0.50 spl0_16 <=> cycle(e_1,e_3)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f164,plain,(
% 0.21/0.50 cycle(e_1,e_0)|cycle(e_1,e_1)|cycle(e_1,e_2)|cycle(e_1,e_3)),
% 0.21/0.50 inference(resolution,[status(thm)],[f60,f69])).
% 0.21/0.50 fof(f165,plain,(
% 0.21/0.50 spl0_0|spl0_14|spl0_15|spl0_16),
% 0.21/0.50 inference(split_clause,[status(thm)],[f164,f103,f155,f158,f161])).
% 0.21/0.50 fof(f169,plain,(
% 0.21/0.50 ![X0]: (~cycle(e_2,X0)|equalish(e_3,X0)|~spl0_13)),
% 0.21/0.50 inference(resolution,[status(thm)],[f151,f59])).
% 0.21/0.50 fof(f173,plain,(
% 0.21/0.50 ![X0]: (~cycle(e_3,X0)|equalish(e_3,X0)|~spl0_9)),
% 0.21/0.50 inference(resolution,[status(thm)],[f137,f59])).
% 0.21/0.50 fof(f184,plain,(
% 0.21/0.50 equalish(e_3,e_1)|~spl0_13|~spl0_11),
% 0.21/0.50 inference(resolution,[status(thm)],[f169,f145])).
% 0.21/0.50 fof(f185,plain,(
% 0.21/0.50 $false|~spl0_13|~spl0_11),
% 0.21/0.50 inference(forward_subsumption_resolution,[status(thm)],[f184,f79])).
% 0.21/0.50 fof(f186,plain,(
% 0.21/0.50 ~spl0_13|~spl0_11),
% 0.21/0.50 inference(contradiction_clause,[status(thm)],[f185])).
% 0.21/0.50 fof(f192,plain,(
% 0.21/0.50 equalish(e_3,e_1)|~spl0_9|~spl0_7),
% 0.21/0.50 inference(resolution,[status(thm)],[f173,f131])).
% 0.21/0.50 fof(f193,plain,(
% 0.21/0.50 $false|~spl0_9|~spl0_7),
% 0.21/0.50 inference(forward_subsumption_resolution,[status(thm)],[f192,f79])).
% 0.21/0.50 fof(f194,plain,(
% 0.21/0.50 ~spl0_9|~spl0_7),
% 0.21/0.50 inference(contradiction_clause,[status(thm)],[f193])).
% 0.21/0.50 fof(f196,plain,(
% 0.21/0.50 spl0_17 <=> ~product(e_3,e_1,X0)|~next(e_3,X1)|equalish(X0,X1)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f199,plain,(
% 0.21/0.50 spl0_18 <=> greater(e_0,e_0)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f202,plain,(
% 0.21/0.50 ![X0,X1]: (~product(e_3,e_1,X0)|~greater(e_0,e_0)|~next(e_3,X1)|equalish(X0,X1)|~spl0_6)),
% 0.21/0.50 inference(resolution,[status(thm)],[f68,f128])).
% 0.21/0.50 fof(f203,plain,(
% 0.21/0.50 spl0_17|~spl0_18|~spl0_6),
% 0.21/0.50 inference(split_clause,[status(thm)],[f202,f196,f199,f127])).
% 0.21/0.50 fof(f204,plain,(
% 0.21/0.50 spl0_19 <=> greater(e_2,e_0)),
% 0.21/0.50 introduced(split_symbol_definition)).
% 0.21/0.50 fof(f206,plain,(
% 0.21/0.50 ~greater(e_2,e_0)|spl0_19),
% 0.21/0.50 inference(component_clause,[status(thm)],[f204])).
% 0.21/0.50 fof(f207,plain,(
% 0.21/0.50 ![X0,X1]: (~product(e_3,e_1,X0)|~greater(e_2,e_0)|~next(e_3,X1)|equalish(X0,X1)|~spl0_8)),
% 0.21/0.51 inference(resolution,[status(thm)],[f68,f134])).
% 0.21/0.51 fof(f208,plain,(
% 0.21/0.51 spl0_17|~spl0_19|~spl0_8),
% 0.21/0.51 inference(split_clause,[status(thm)],[f207,f196,f204,f133])).
% 0.21/0.51 fof(f209,plain,(
% 0.21/0.51 spl0_20 <=> ~product(e_2,e_1,X0)|~next(e_2,X1)|equalish(X0,X1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f214,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_2,e_1,X0)|~greater(e_2,e_0)|~next(e_2,X1)|equalish(X0,X1)|~spl0_12)),
% 0.21/0.51 inference(resolution,[status(thm)],[f68,f148])).
% 0.21/0.51 fof(f215,plain,(
% 0.21/0.51 spl0_20|~spl0_19|~spl0_12),
% 0.21/0.51 inference(split_clause,[status(thm)],[f214,f209,f204,f147])).
% 0.21/0.51 fof(f216,plain,(
% 0.21/0.51 spl0_21 <=> ~product(e_1,e_1,X0)|~next(e_1,X1)|equalish(X0,X1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f217,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_1,e_1,X0)|~next(e_1,X1)|equalish(X0,X1)|~spl0_21)),
% 0.21/0.51 inference(component_clause,[status(thm)],[f216])).
% 0.21/0.51 fof(f219,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_1,e_1,X0)|~greater(e_2,e_0)|~next(e_1,X1)|equalish(X0,X1)|~spl0_15)),
% 0.21/0.51 inference(resolution,[status(thm)],[f68,f159])).
% 0.21/0.51 fof(f220,plain,(
% 0.21/0.51 spl0_21|~spl0_19|~spl0_15),
% 0.21/0.51 inference(split_clause,[status(thm)],[f219,f216,f204,f158])).
% 0.21/0.51 fof(f221,plain,(
% 0.21/0.51 spl0_22 <=> ~product(e_4,e_1,X0)|~next(e_4,X1)|equalish(X0,X1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f224,plain,(
% 0.21/0.51 spl0_23 <=> greater(e_3,e_0)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f226,plain,(
% 0.21/0.51 ~greater(e_3,e_0)|spl0_23),
% 0.21/0.51 inference(component_clause,[status(thm)],[f224])).
% 0.21/0.51 fof(f227,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_4,e_1,X0)|~greater(e_3,e_0)|~next(e_4,X1)|equalish(X0,X1)|~spl0_5)),
% 0.21/0.51 inference(resolution,[status(thm)],[f68,f123])).
% 0.21/0.51 fof(f228,plain,(
% 0.21/0.51 spl0_22|~spl0_23|~spl0_5),
% 0.21/0.51 inference(split_clause,[status(thm)],[f227,f221,f224,f122])).
% 0.21/0.51 fof(f229,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_4,e_1,X0)|~greater(e_0,e_0)|~next(e_4,X1)|equalish(X0,X1))),
% 0.21/0.51 inference(resolution,[status(thm)],[f68,f61])).
% 0.21/0.51 fof(f230,plain,(
% 0.21/0.51 spl0_22|~spl0_18),
% 0.21/0.51 inference(split_clause,[status(thm)],[f229,f221,f199])).
% 0.21/0.51 fof(f231,plain,(
% 0.21/0.51 $false|spl0_23),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f226,f50])).
% 0.21/0.51 fof(f232,plain,(
% 0.21/0.51 spl0_23),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f231])).
% 0.21/0.51 fof(f233,plain,(
% 0.21/0.51 $false|spl0_19),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f206,f49])).
% 0.21/0.51 fof(f234,plain,(
% 0.21/0.51 spl0_19),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f233])).
% 0.21/0.51 fof(f235,plain,(
% 0.21/0.51 spl0_24 <=> ~cycle(X0,X1)|~next(e_3,X0)|~next(X1,X2)|equalish(e_2,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f238,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_3,X0)|~greater(e_2,e_0)|~next(X1,X2)|equalish(e_2,X2)|~spl0_8)),
% 0.21/0.51 inference(resolution,[status(thm)],[f63,f134])).
% 0.21/0.51 fof(f239,plain,(
% 0.21/0.51 spl0_24|~spl0_19|~spl0_8),
% 0.21/0.51 inference(split_clause,[status(thm)],[f238,f235,f204,f133])).
% 0.21/0.51 fof(f245,plain,(
% 0.21/0.51 spl0_26 <=> ~cycle(X0,X1)|~next(e_2,X0)|~next(X1,X2)|equalish(e_2,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f248,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_2,X0)|~greater(e_2,e_0)|~next(X1,X2)|equalish(e_2,X2)|~spl0_12)),
% 0.21/0.51 inference(resolution,[status(thm)],[f63,f148])).
% 0.21/0.51 fof(f249,plain,(
% 0.21/0.51 spl0_26|~spl0_19|~spl0_12),
% 0.21/0.51 inference(split_clause,[status(thm)],[f248,f245,f204,f147])).
% 0.21/0.51 fof(f255,plain,(
% 0.21/0.51 spl0_28 <=> ~cycle(X0,X1)|~next(e_4,X0)|~next(X1,X2)|equalish(e_3,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f258,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_4,X0)|~greater(e_3,e_0)|~next(X1,X2)|equalish(e_3,X2)|~spl0_5)),
% 0.21/0.51 inference(resolution,[status(thm)],[f63,f123])).
% 0.21/0.51 fof(f259,plain,(
% 0.21/0.51 spl0_28|~spl0_23|~spl0_5),
% 0.21/0.51 inference(split_clause,[status(thm)],[f258,f255,f224,f122])).
% 0.21/0.51 fof(f260,plain,(
% 0.21/0.51 spl0_29 <=> ~cycle(X0,X1)|~next(e_4,X0)|~next(X1,X2)|equalish(e_0,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f263,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_4,X0)|~greater(e_0,e_0)|~next(X1,X2)|equalish(e_0,X2))),
% 0.21/0.51 inference(resolution,[status(thm)],[f63,f61])).
% 0.21/0.51 fof(f264,plain,(
% 0.21/0.51 spl0_29|~spl0_18),
% 0.21/0.51 inference(split_clause,[status(thm)],[f263,f260,f199])).
% 0.21/0.51 fof(f266,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,e_0)|~cycle(X1,X2)|~next(X0,X1)|~greater(X0,e_4)|~greater(e_0,X2))),
% 0.21/0.51 inference(resolution,[status(thm)],[f65,f61])).
% 0.21/0.51 fof(f267,plain,(
% 0.21/0.51 spl0_30 <=> ~cycle(X0,X1)|~next(e_2,X0)|~greater(e_0,X1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f268,plain,(
% 0.21/0.51 ![X0,X1]: (~cycle(X0,X1)|~next(e_2,X0)|~greater(e_0,X1)|~spl0_30)),
% 0.21/0.51 inference(component_clause,[status(thm)],[f267])).
% 0.21/0.51 fof(f275,plain,(
% 0.21/0.51 spl0_32 <=> ~cycle(X0,X1)|~next(e_4,X0)|~greater(e_0,X1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f276,plain,(
% 0.21/0.51 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,X0)|~greater(e_0,X1)|~spl0_32)),
% 0.21/0.51 inference(component_clause,[status(thm)],[f275])).
% 0.21/0.51 fof(f278,plain,(
% 0.21/0.51 spl0_33 <=> greater(e_4,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f281,plain,(
% 0.21/0.51 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,X0)|~greater(e_4,e_4)|~greater(e_0,X1))),
% 0.21/0.51 inference(resolution,[status(thm)],[f266,f61])).
% 0.21/0.51 fof(f282,plain,(
% 0.21/0.51 spl0_32|~spl0_33),
% 0.21/0.51 inference(split_clause,[status(thm)],[f281,f275,f278])).
% 0.21/0.51 fof(f283,plain,(
% 0.21/0.51 ![X0]: (~group_element(X0)|product(e_4,X0,e_1)|product(e_4,X0,e_2)|product(e_4,X0,e_3)|product(e_4,X0,e_4))),
% 0.21/0.51 inference(resolution,[status(thm)],[f85,f72])).
% 0.21/0.51 fof(f284,plain,(
% 0.21/0.51 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3)|product(e_3,X0,e_4))),
% 0.21/0.51 inference(resolution,[status(thm)],[f85,f71])).
% 0.21/0.51 fof(f285,plain,(
% 0.21/0.51 ![X0]: (~group_element(X0)|product(e_2,X0,e_1)|product(e_2,X0,e_2)|product(e_2,X0,e_3)|product(e_2,X0,e_4))),
% 0.21/0.51 inference(resolution,[status(thm)],[f85,f70])).
% 0.21/0.51 fof(f301,plain,(
% 0.21/0.51 spl0_38 <=> product(e_4,e_3,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f302,plain,(
% 0.21/0.51 product(e_4,e_3,e_1)|~spl0_38),
% 0.21/0.51 inference(component_clause,[status(thm)],[f301])).
% 0.21/0.51 fof(f304,plain,(
% 0.21/0.51 spl0_39 <=> product(e_4,e_3,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f305,plain,(
% 0.21/0.51 product(e_4,e_3,e_2)|~spl0_39),
% 0.21/0.51 inference(component_clause,[status(thm)],[f304])).
% 0.21/0.51 fof(f307,plain,(
% 0.21/0.51 spl0_40 <=> product(e_4,e_3,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f308,plain,(
% 0.21/0.51 product(e_4,e_3,e_3)|~spl0_40),
% 0.21/0.51 inference(component_clause,[status(thm)],[f307])).
% 0.21/0.51 fof(f310,plain,(
% 0.21/0.51 spl0_41 <=> product(e_4,e_3,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f311,plain,(
% 0.21/0.51 product(e_4,e_3,e_4)|~spl0_41),
% 0.21/0.51 inference(component_clause,[status(thm)],[f310])).
% 0.21/0.51 fof(f313,plain,(
% 0.21/0.51 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)),
% 0.21/0.51 inference(resolution,[status(thm)],[f283,f71])).
% 0.21/0.51 fof(f314,plain,(
% 0.21/0.51 spl0_38|spl0_39|spl0_40|spl0_41),
% 0.21/0.51 inference(split_clause,[status(thm)],[f313,f301,f304,f307,f310])).
% 0.21/0.51 fof(f315,plain,(
% 0.21/0.51 spl0_42 <=> product(e_4,e_2,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f316,plain,(
% 0.21/0.51 product(e_4,e_2,e_1)|~spl0_42),
% 0.21/0.51 inference(component_clause,[status(thm)],[f315])).
% 0.21/0.51 fof(f318,plain,(
% 0.21/0.51 spl0_43 <=> product(e_4,e_2,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f319,plain,(
% 0.21/0.51 product(e_4,e_2,e_2)|~spl0_43),
% 0.21/0.51 inference(component_clause,[status(thm)],[f318])).
% 0.21/0.51 fof(f321,plain,(
% 0.21/0.51 spl0_44 <=> product(e_4,e_2,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f322,plain,(
% 0.21/0.51 product(e_4,e_2,e_3)|~spl0_44),
% 0.21/0.51 inference(component_clause,[status(thm)],[f321])).
% 0.21/0.51 fof(f324,plain,(
% 0.21/0.51 spl0_45 <=> product(e_4,e_2,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f325,plain,(
% 0.21/0.51 product(e_4,e_2,e_4)|~spl0_45),
% 0.21/0.51 inference(component_clause,[status(thm)],[f324])).
% 0.21/0.51 fof(f327,plain,(
% 0.21/0.51 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)),
% 0.21/0.51 inference(resolution,[status(thm)],[f283,f70])).
% 0.21/0.51 fof(f328,plain,(
% 0.21/0.51 spl0_42|spl0_43|spl0_44|spl0_45),
% 0.21/0.51 inference(split_clause,[status(thm)],[f327,f315,f318,f321,f324])).
% 0.21/0.51 fof(f329,plain,(
% 0.21/0.51 spl0_46 <=> product(e_4,e_1,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f330,plain,(
% 0.21/0.51 product(e_4,e_1,e_1)|~spl0_46),
% 0.21/0.51 inference(component_clause,[status(thm)],[f329])).
% 0.21/0.51 fof(f332,plain,(
% 0.21/0.51 spl0_47 <=> product(e_4,e_1,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f333,plain,(
% 0.21/0.51 product(e_4,e_1,e_2)|~spl0_47),
% 0.21/0.51 inference(component_clause,[status(thm)],[f332])).
% 0.21/0.51 fof(f335,plain,(
% 0.21/0.51 spl0_48 <=> product(e_4,e_1,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f336,plain,(
% 0.21/0.51 product(e_4,e_1,e_3)|~spl0_48),
% 0.21/0.51 inference(component_clause,[status(thm)],[f335])).
% 0.21/0.51 fof(f338,plain,(
% 0.21/0.51 spl0_49 <=> product(e_4,e_1,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f339,plain,(
% 0.21/0.51 product(e_4,e_1,e_4)|~spl0_49),
% 0.21/0.51 inference(component_clause,[status(thm)],[f338])).
% 0.21/0.51 fof(f341,plain,(
% 0.21/0.51 product(e_4,e_1,e_1)|product(e_4,e_1,e_2)|product(e_4,e_1,e_3)|product(e_4,e_1,e_4)),
% 0.21/0.51 inference(resolution,[status(thm)],[f283,f69])).
% 0.21/0.51 fof(f342,plain,(
% 0.21/0.51 spl0_46|spl0_47|spl0_48|spl0_49),
% 0.21/0.51 inference(split_clause,[status(thm)],[f341,f329,f332,f335,f338])).
% 0.21/0.51 fof(f343,plain,(
% 0.21/0.51 spl0_50 <=> product(e_3,e_4,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f344,plain,(
% 0.21/0.51 product(e_3,e_4,e_1)|~spl0_50),
% 0.21/0.51 inference(component_clause,[status(thm)],[f343])).
% 0.21/0.51 fof(f346,plain,(
% 0.21/0.51 spl0_51 <=> product(e_3,e_4,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f347,plain,(
% 0.21/0.51 product(e_3,e_4,e_2)|~spl0_51),
% 0.21/0.51 inference(component_clause,[status(thm)],[f346])).
% 0.21/0.51 fof(f349,plain,(
% 0.21/0.51 spl0_52 <=> product(e_3,e_4,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f350,plain,(
% 0.21/0.51 product(e_3,e_4,e_3)|~spl0_52),
% 0.21/0.51 inference(component_clause,[status(thm)],[f349])).
% 0.21/0.51 fof(f352,plain,(
% 0.21/0.51 spl0_53 <=> product(e_3,e_4,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f353,plain,(
% 0.21/0.51 product(e_3,e_4,e_4)|~spl0_53),
% 0.21/0.51 inference(component_clause,[status(thm)],[f352])).
% 0.21/0.51 fof(f355,plain,(
% 0.21/0.51 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)),
% 0.21/0.51 inference(resolution,[status(thm)],[f284,f72])).
% 0.21/0.51 fof(f356,plain,(
% 0.21/0.51 spl0_50|spl0_51|spl0_52|spl0_53),
% 0.21/0.51 inference(split_clause,[status(thm)],[f355,f343,f346,f349,f352])).
% 0.21/0.51 fof(f357,plain,(
% 0.21/0.51 spl0_54 <=> product(e_3,e_3,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f358,plain,(
% 0.21/0.51 product(e_3,e_3,e_1)|~spl0_54),
% 0.21/0.51 inference(component_clause,[status(thm)],[f357])).
% 0.21/0.51 fof(f360,plain,(
% 0.21/0.51 spl0_55 <=> product(e_3,e_3,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f361,plain,(
% 0.21/0.51 product(e_3,e_3,e_2)|~spl0_55),
% 0.21/0.51 inference(component_clause,[status(thm)],[f360])).
% 0.21/0.51 fof(f363,plain,(
% 0.21/0.51 spl0_56 <=> product(e_3,e_3,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f366,plain,(
% 0.21/0.51 spl0_57 <=> product(e_3,e_3,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f367,plain,(
% 0.21/0.51 product(e_3,e_3,e_4)|~spl0_57),
% 0.21/0.51 inference(component_clause,[status(thm)],[f366])).
% 0.21/0.51 fof(f369,plain,(
% 0.21/0.51 product(e_3,e_3,e_1)|product(e_3,e_3,e_2)|product(e_3,e_3,e_3)|product(e_3,e_3,e_4)),
% 0.21/0.51 inference(resolution,[status(thm)],[f284,f71])).
% 0.21/0.51 fof(f370,plain,(
% 0.21/0.51 spl0_54|spl0_55|spl0_56|spl0_57),
% 0.21/0.51 inference(split_clause,[status(thm)],[f369,f357,f360,f363,f366])).
% 0.21/0.51 fof(f371,plain,(
% 0.21/0.51 spl0_58 <=> product(e_3,e_2,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f372,plain,(
% 0.21/0.51 product(e_3,e_2,e_1)|~spl0_58),
% 0.21/0.51 inference(component_clause,[status(thm)],[f371])).
% 0.21/0.51 fof(f374,plain,(
% 0.21/0.51 spl0_59 <=> product(e_3,e_2,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f375,plain,(
% 0.21/0.51 product(e_3,e_2,e_2)|~spl0_59),
% 0.21/0.51 inference(component_clause,[status(thm)],[f374])).
% 0.21/0.51 fof(f377,plain,(
% 0.21/0.51 spl0_60 <=> product(e_3,e_2,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f378,plain,(
% 0.21/0.51 product(e_3,e_2,e_3)|~spl0_60),
% 0.21/0.51 inference(component_clause,[status(thm)],[f377])).
% 0.21/0.51 fof(f380,plain,(
% 0.21/0.51 spl0_61 <=> product(e_3,e_2,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f381,plain,(
% 0.21/0.51 product(e_3,e_2,e_4)|~spl0_61),
% 0.21/0.51 inference(component_clause,[status(thm)],[f380])).
% 0.21/0.51 fof(f383,plain,(
% 0.21/0.51 product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3)|product(e_3,e_2,e_4)),
% 0.21/0.51 inference(resolution,[status(thm)],[f284,f70])).
% 0.21/0.51 fof(f384,plain,(
% 0.21/0.51 spl0_58|spl0_59|spl0_60|spl0_61),
% 0.21/0.51 inference(split_clause,[status(thm)],[f383,f371,f374,f377,f380])).
% 0.21/0.51 fof(f385,plain,(
% 0.21/0.51 spl0_62 <=> product(e_3,e_1,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f386,plain,(
% 0.21/0.51 product(e_3,e_1,e_1)|~spl0_62),
% 0.21/0.51 inference(component_clause,[status(thm)],[f385])).
% 0.21/0.51 fof(f388,plain,(
% 0.21/0.51 spl0_63 <=> product(e_3,e_1,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f389,plain,(
% 0.21/0.51 product(e_3,e_1,e_2)|~spl0_63),
% 0.21/0.51 inference(component_clause,[status(thm)],[f388])).
% 0.21/0.51 fof(f391,plain,(
% 0.21/0.51 spl0_64 <=> product(e_3,e_1,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f392,plain,(
% 0.21/0.51 product(e_3,e_1,e_3)|~spl0_64),
% 0.21/0.51 inference(component_clause,[status(thm)],[f391])).
% 0.21/0.51 fof(f394,plain,(
% 0.21/0.51 spl0_65 <=> product(e_3,e_1,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f395,plain,(
% 0.21/0.51 product(e_3,e_1,e_4)|~spl0_65),
% 0.21/0.51 inference(component_clause,[status(thm)],[f394])).
% 0.21/0.51 fof(f397,plain,(
% 0.21/0.51 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)),
% 0.21/0.51 inference(resolution,[status(thm)],[f284,f69])).
% 0.21/0.51 fof(f398,plain,(
% 0.21/0.51 spl0_62|spl0_63|spl0_64|spl0_65),
% 0.21/0.51 inference(split_clause,[status(thm)],[f397,f385,f388,f391,f394])).
% 0.21/0.51 fof(f413,plain,(
% 0.21/0.51 spl0_70 <=> product(e_2,e_3,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f414,plain,(
% 0.21/0.51 product(e_2,e_3,e_1)|~spl0_70),
% 0.21/0.51 inference(component_clause,[status(thm)],[f413])).
% 0.21/0.51 fof(f416,plain,(
% 0.21/0.51 spl0_71 <=> product(e_2,e_3,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f417,plain,(
% 0.21/0.51 product(e_2,e_3,e_2)|~spl0_71),
% 0.21/0.51 inference(component_clause,[status(thm)],[f416])).
% 0.21/0.51 fof(f419,plain,(
% 0.21/0.51 spl0_72 <=> product(e_2,e_3,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f420,plain,(
% 0.21/0.51 product(e_2,e_3,e_3)|~spl0_72),
% 0.21/0.51 inference(component_clause,[status(thm)],[f419])).
% 0.21/0.51 fof(f422,plain,(
% 0.21/0.51 spl0_73 <=> product(e_2,e_3,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f423,plain,(
% 0.21/0.51 product(e_2,e_3,e_4)|~spl0_73),
% 0.21/0.51 inference(component_clause,[status(thm)],[f422])).
% 0.21/0.51 fof(f425,plain,(
% 0.21/0.51 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)),
% 0.21/0.51 inference(resolution,[status(thm)],[f285,f71])).
% 0.21/0.51 fof(f426,plain,(
% 0.21/0.51 spl0_70|spl0_71|spl0_72|spl0_73),
% 0.21/0.51 inference(split_clause,[status(thm)],[f425,f413,f416,f419,f422])).
% 0.21/0.51 fof(f427,plain,(
% 0.21/0.51 spl0_74 <=> product(e_2,e_2,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f428,plain,(
% 0.21/0.51 product(e_2,e_2,e_1)|~spl0_74),
% 0.21/0.51 inference(component_clause,[status(thm)],[f427])).
% 0.21/0.51 fof(f436,plain,(
% 0.21/0.51 spl0_77 <=> product(e_2,e_2,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f437,plain,(
% 0.21/0.51 product(e_2,e_2,e_4)|~spl0_77),
% 0.21/0.51 inference(component_clause,[status(thm)],[f436])).
% 0.21/0.51 fof(f441,plain,(
% 0.21/0.51 spl0_78 <=> product(e_2,e_1,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f442,plain,(
% 0.21/0.51 product(e_2,e_1,e_1)|~spl0_78),
% 0.21/0.51 inference(component_clause,[status(thm)],[f441])).
% 0.21/0.51 fof(f444,plain,(
% 0.21/0.51 spl0_79 <=> product(e_2,e_1,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f445,plain,(
% 0.21/0.51 product(e_2,e_1,e_2)|~spl0_79),
% 0.21/0.51 inference(component_clause,[status(thm)],[f444])).
% 0.21/0.51 fof(f447,plain,(
% 0.21/0.51 spl0_80 <=> product(e_2,e_1,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f448,plain,(
% 0.21/0.51 product(e_2,e_1,e_3)|~spl0_80),
% 0.21/0.51 inference(component_clause,[status(thm)],[f447])).
% 0.21/0.51 fof(f450,plain,(
% 0.21/0.51 spl0_81 <=> product(e_2,e_1,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f451,plain,(
% 0.21/0.51 product(e_2,e_1,e_4)|~spl0_81),
% 0.21/0.51 inference(component_clause,[status(thm)],[f450])).
% 0.21/0.51 fof(f453,plain,(
% 0.21/0.51 product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4)),
% 0.21/0.51 inference(resolution,[status(thm)],[f285,f69])).
% 0.21/0.51 fof(f454,plain,(
% 0.21/0.51 spl0_78|spl0_79|spl0_80|spl0_81),
% 0.21/0.51 inference(split_clause,[status(thm)],[f453,f441,f444,f447,f450])).
% 0.21/0.51 fof(f511,plain,(
% 0.21/0.51 spl0_98 <=> ~cycle(X0,X1)|~next(e_1,X0)|~greater(e_0,X1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f512,plain,(
% 0.21/0.51 ![X0,X1]: (~cycle(X0,X1)|~next(e_1,X0)|~greater(e_0,X1)|~spl0_98)),
% 0.21/0.51 inference(component_clause,[status(thm)],[f511])).
% 0.21/0.51 fof(f514,plain,(
% 0.21/0.51 spl0_99 <=> greater(e_1,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f517,plain,(
% 0.21/0.51 ![X0,X1]: (~cycle(X0,X1)|~next(e_1,X0)|~greater(e_1,e_4)|~greater(e_0,X1)|~spl0_0)),
% 0.21/0.51 inference(resolution,[status(thm)],[f104,f266])).
% 0.21/0.51 fof(f518,plain,(
% 0.21/0.51 spl0_98|~spl0_99|~spl0_0),
% 0.21/0.51 inference(split_clause,[status(thm)],[f517,f511,f514,f103])).
% 0.21/0.51 fof(f519,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,e_0)|~cycle(X1,X2)|~next(X0,X1)|~greater(X0,e_1)|~greater(e_0,X2)|~spl0_0)),
% 0.21/0.51 inference(resolution,[status(thm)],[f104,f65])).
% 0.21/0.51 fof(f520,plain,(
% 0.21/0.51 spl0_100 <=> ~cycle(X0,X1)|~next(e_1,X0)|~next(X1,X2)|equalish(e_0,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f521,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_1,X0)|~next(X1,X2)|equalish(e_0,X2)|~spl0_100)),
% 0.21/0.51 inference(component_clause,[status(thm)],[f520])).
% 0.21/0.51 fof(f525,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_1,e_1,X0)|~greater(e_0,e_0)|~next(e_1,X1)|equalish(X0,X1)|~spl0_0)),
% 0.21/0.51 inference(resolution,[status(thm)],[f104,f68])).
% 0.21/0.51 fof(f526,plain,(
% 0.21/0.51 spl0_21|~spl0_18|~spl0_0),
% 0.21/0.51 inference(split_clause,[status(thm)],[f525,f216,f199,f103])).
% 0.21/0.51 fof(f534,plain,(
% 0.21/0.51 spl0_102 <=> next(e_1,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f536,plain,(
% 0.21/0.51 ~next(e_1,e_2)|spl0_102),
% 0.21/0.51 inference(component_clause,[status(thm)],[f534])).
% 0.21/0.51 fof(f539,plain,(
% 0.21/0.51 spl0_103 <=> next(e_1,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f542,plain,(
% 0.21/0.51 ~next(e_1,e_4)|~greater(e_0,e_0)|~spl0_98),
% 0.21/0.51 inference(resolution,[status(thm)],[f512,f61])).
% 0.21/0.51 fof(f543,plain,(
% 0.21/0.51 ~spl0_103|~spl0_18|~spl0_98),
% 0.21/0.51 inference(split_clause,[status(thm)],[f542,f539,f199,f511])).
% 0.21/0.51 fof(f544,plain,(
% 0.21/0.51 $false|spl0_102),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f536,f45])).
% 0.21/0.51 fof(f545,plain,(
% 0.21/0.51 spl0_102),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f544])).
% 0.21/0.51 fof(f546,plain,(
% 0.21/0.51 spl0_104 <=> ~next(e_0,X0)|equalish(e_0,X0)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f553,plain,(
% 0.21/0.51 ![X0]: (~next(e_1,e_4)|~next(e_0,X0)|equalish(e_0,X0)|~spl0_100)),
% 0.21/0.51 inference(resolution,[status(thm)],[f521,f61])).
% 0.21/0.51 fof(f554,plain,(
% 0.21/0.51 ~spl0_103|spl0_104|~spl0_100),
% 0.21/0.51 inference(split_clause,[status(thm)],[f553,f539,f546,f520])).
% 0.21/0.51 fof(f557,plain,(
% 0.21/0.51 spl0_105 <=> greater(e_2,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f559,plain,(
% 0.21/0.51 ~greater(e_2,e_1)|spl0_105),
% 0.21/0.51 inference(component_clause,[status(thm)],[f557])).
% 0.21/0.51 fof(f560,plain,(
% 0.21/0.51 ![X0,X1]: (~cycle(X0,X1)|~next(e_2,X0)|~greater(e_2,e_1)|~greater(e_0,X1)|~spl0_0|~spl0_10)),
% 0.21/0.51 inference(resolution,[status(thm)],[f519,f142])).
% 0.21/0.51 fof(f561,plain,(
% 0.21/0.51 spl0_30|~spl0_105|~spl0_0|~spl0_10),
% 0.21/0.51 inference(split_clause,[status(thm)],[f560,f267,f557,f103,f141])).
% 0.21/0.51 fof(f562,plain,(
% 0.21/0.51 spl0_106 <=> greater(e_4,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f564,plain,(
% 0.21/0.51 ~greater(e_4,e_1)|spl0_106),
% 0.21/0.51 inference(component_clause,[status(thm)],[f562])).
% 0.21/0.51 fof(f565,plain,(
% 0.21/0.51 ![X0,X1]: (~cycle(X0,X1)|~next(e_4,X0)|~greater(e_4,e_1)|~greater(e_0,X1)|~spl0_0)),
% 0.21/0.51 inference(resolution,[status(thm)],[f519,f61])).
% 0.21/0.51 fof(f566,plain,(
% 0.21/0.51 spl0_32|~spl0_106|~spl0_0),
% 0.21/0.51 inference(split_clause,[status(thm)],[f565,f275,f562,f103])).
% 0.21/0.51 fof(f567,plain,(
% 0.21/0.51 $false|spl0_105),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f559,f52])).
% 0.21/0.51 fof(f568,plain,(
% 0.21/0.51 spl0_105),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f567])).
% 0.21/0.51 fof(f569,plain,(
% 0.21/0.51 $false|spl0_106),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f564,f54])).
% 0.21/0.51 fof(f570,plain,(
% 0.21/0.51 spl0_106),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f569])).
% 0.21/0.51 fof(f572,plain,(
% 0.21/0.51 ![X0]: (~next(e_1,X0)|equalish(e_1,X0)|~spl0_21)),
% 0.21/0.51 inference(resolution,[status(thm)],[f217,f92])).
% 0.21/0.51 fof(f573,plain,(
% 0.21/0.51 equalish(e_1,e_2)|~spl0_21),
% 0.21/0.51 inference(resolution,[status(thm)],[f572,f45])).
% 0.21/0.51 fof(f574,plain,(
% 0.21/0.51 $false|~spl0_21),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f573,f73])).
% 0.21/0.51 fof(f575,plain,(
% 0.21/0.51 ~spl0_21),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f574])).
% 0.21/0.51 fof(f578,plain,(
% 0.21/0.51 spl0_107 <=> ~cycle(X0,X1)|~next(e_4,X0)|~next(X1,X2)|equalish(e_2,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f581,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_4,X0)|~greater(e_2,e_0)|~next(X1,X2)|equalish(e_2,X2)|~spl0_4)),
% 0.21/0.51 inference(resolution,[status(thm)],[f120,f63])).
% 0.21/0.51 fof(f582,plain,(
% 0.21/0.51 spl0_107|~spl0_19|~spl0_4),
% 0.21/0.51 inference(split_clause,[status(thm)],[f581,f578,f204,f119])).
% 0.21/0.51 fof(f583,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_4,e_1,X0)|~greater(e_2,e_0)|~next(e_4,X1)|equalish(X0,X1)|~spl0_4)),
% 0.21/0.51 inference(resolution,[status(thm)],[f120,f68])).
% 0.21/0.51 fof(f584,plain,(
% 0.21/0.51 spl0_22|~spl0_19|~spl0_4),
% 0.21/0.51 inference(split_clause,[status(thm)],[f583,f221,f204,f119])).
% 0.21/0.51 fof(f586,plain,(
% 0.21/0.51 spl0_108 <=> ~cycle(X0,X1)|~next(e_3,X0)|~greater(e_0,X1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f589,plain,(
% 0.21/0.51 spl0_109 <=> greater(e_3,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f595,plain,(
% 0.21/0.51 spl0_110 <=> ~cycle(X0,X1)|~next(e_3,X0)|~next(X1,X2)|equalish(e_0,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f598,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_3,X0)|~greater(e_0,e_0)|~next(X1,X2)|equalish(e_0,X2)|~spl0_6)),
% 0.21/0.51 inference(resolution,[status(thm)],[f128,f63])).
% 0.21/0.51 fof(f599,plain,(
% 0.21/0.51 spl0_110|~spl0_18|~spl0_6),
% 0.21/0.51 inference(split_clause,[status(thm)],[f598,f595,f199,f127])).
% 0.21/0.51 fof(f607,plain,(
% 0.21/0.51 spl0_112 <=> greater(e_1,e_0)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f609,plain,(
% 0.21/0.51 ~greater(e_1,e_0)|spl0_112),
% 0.21/0.51 inference(component_clause,[status(thm)],[f607])).
% 0.21/0.51 fof(f612,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_1,e_1,X0)|~greater(e_1,e_0)|~next(e_1,X1)|equalish(X0,X1)|~spl0_14)),
% 0.21/0.51 inference(resolution,[status(thm)],[f156,f68])).
% 0.21/0.51 fof(f613,plain,(
% 0.21/0.51 spl0_21|~spl0_112|~spl0_14),
% 0.21/0.51 inference(split_clause,[status(thm)],[f612,f216,f607,f155])).
% 0.21/0.51 fof(f615,plain,(
% 0.21/0.51 $false|spl0_112),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f609,f48])).
% 0.21/0.51 fof(f616,plain,(
% 0.21/0.51 spl0_112),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f615])).
% 0.21/0.51 fof(f628,plain,(
% 0.21/0.51 spl0_113 <=> next(e_1,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f637,plain,(
% 0.21/0.51 spl0_114 <=> greater(e_3,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f639,plain,(
% 0.21/0.51 ~greater(e_3,e_1)|spl0_114),
% 0.21/0.51 inference(component_clause,[status(thm)],[f637])).
% 0.21/0.51 fof(f640,plain,(
% 0.21/0.51 ![X0,X1]: (~cycle(X0,X1)|~next(e_3,X0)|~greater(e_3,e_1)|~greater(e_0,X1)|~spl0_0|~spl0_6)),
% 0.21/0.51 inference(resolution,[status(thm)],[f519,f128])).
% 0.21/0.51 fof(f641,plain,(
% 0.21/0.51 spl0_108|~spl0_114|~spl0_0|~spl0_6),
% 0.21/0.51 inference(split_clause,[status(thm)],[f640,f586,f637,f103,f127])).
% 0.21/0.51 fof(f644,plain,(
% 0.21/0.51 $false|spl0_114),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f639,f53])).
% 0.21/0.51 fof(f645,plain,(
% 0.21/0.51 spl0_114),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f644])).
% 0.21/0.51 fof(f647,plain,(
% 0.21/0.51 spl0_115 <=> ~cycle(X0,X1)|~next(e_2,X0)|~next(X1,X2)|equalish(e_1,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f650,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_2,X0)|~greater(e_1,e_0)|~next(X1,X2)|equalish(e_1,X2)|~spl0_11)),
% 0.21/0.51 inference(resolution,[status(thm)],[f145,f63])).
% 0.21/0.51 fof(f651,plain,(
% 0.21/0.51 spl0_115|~spl0_112|~spl0_11),
% 0.21/0.51 inference(split_clause,[status(thm)],[f650,f647,f607,f144])).
% 0.21/0.51 fof(f652,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_2,e_1,X0)|~greater(e_1,e_0)|~next(e_2,X1)|equalish(X0,X1)|~spl0_11)),
% 0.21/0.51 inference(resolution,[status(thm)],[f145,f68])).
% 0.21/0.51 fof(f653,plain,(
% 0.21/0.51 spl0_20|~spl0_112|~spl0_11),
% 0.21/0.51 inference(split_clause,[status(thm)],[f652,f209,f607,f144])).
% 0.21/0.51 fof(f656,plain,(
% 0.21/0.51 spl0_116 <=> ~cycle(X0,X1)|~next(e_3,X0)|~next(X1,X2)|equalish(e_1,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f659,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_3,X0)|~greater(e_1,e_0)|~next(X1,X2)|equalish(e_1,X2)|~spl0_7)),
% 0.21/0.51 inference(resolution,[status(thm)],[f131,f63])).
% 0.21/0.51 fof(f660,plain,(
% 0.21/0.51 spl0_116|~spl0_112|~spl0_7),
% 0.21/0.51 inference(split_clause,[status(thm)],[f659,f656,f607,f130])).
% 0.21/0.51 fof(f661,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_3,e_1,X0)|~greater(e_1,e_0)|~next(e_3,X1)|equalish(X0,X1)|~spl0_7)),
% 0.21/0.51 inference(resolution,[status(thm)],[f131,f68])).
% 0.21/0.51 fof(f662,plain,(
% 0.21/0.51 spl0_17|~spl0_112|~spl0_7),
% 0.21/0.51 inference(split_clause,[status(thm)],[f661,f196,f607,f130])).
% 0.21/0.51 fof(f668,plain,(
% 0.21/0.51 equalish(e_4,e_1)|~spl0_49),
% 0.21/0.51 inference(resolution,[status(thm)],[f339,f99])).
% 0.21/0.51 fof(f669,plain,(
% 0.21/0.51 $false|~spl0_49),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f668,f82])).
% 0.21/0.51 fof(f670,plain,(
% 0.21/0.51 ~spl0_49),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f669])).
% 0.21/0.51 fof(f672,plain,(
% 0.21/0.51 spl0_117 <=> ~cycle(X0,X1)|~next(e_4,X0)|~next(X1,X2)|equalish(e_1,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f675,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_4,X0)|~greater(e_1,e_0)|~next(X1,X2)|equalish(e_1,X2)|~spl0_3)),
% 0.21/0.51 inference(resolution,[status(thm)],[f117,f63])).
% 0.21/0.51 fof(f676,plain,(
% 0.21/0.51 spl0_117|~spl0_112|~spl0_3),
% 0.21/0.51 inference(split_clause,[status(thm)],[f675,f672,f607,f116])).
% 0.21/0.51 fof(f677,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_4,e_1,X0)|~greater(e_1,e_0)|~next(e_4,X1)|equalish(X0,X1)|~spl0_3)),
% 0.21/0.51 inference(resolution,[status(thm)],[f117,f68])).
% 0.21/0.51 fof(f678,plain,(
% 0.21/0.51 spl0_22|~spl0_112|~spl0_3),
% 0.21/0.51 inference(split_clause,[status(thm)],[f677,f221,f607,f116])).
% 0.21/0.51 fof(f680,plain,(
% 0.21/0.51 spl0_118 <=> next(e_4,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f683,plain,(
% 0.21/0.51 spl0_119 <=> greater(e_0,e_1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f686,plain,(
% 0.21/0.51 ~next(e_4,e_3)|~greater(e_0,e_1)|~spl0_32|~spl0_7),
% 0.21/0.51 inference(resolution,[status(thm)],[f276,f131])).
% 0.21/0.51 fof(f687,plain,(
% 0.21/0.51 ~spl0_118|~spl0_119|~spl0_32|~spl0_7),
% 0.21/0.51 inference(split_clause,[status(thm)],[f686,f680,f683,f275,f130])).
% 0.21/0.51 fof(f688,plain,(
% 0.21/0.51 spl0_120 <=> next(e_4,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f691,plain,(
% 0.21/0.51 ~next(e_4,e_2)|~greater(e_0,e_1)|~spl0_32|~spl0_11),
% 0.21/0.51 inference(resolution,[status(thm)],[f276,f145])).
% 0.21/0.51 fof(f692,plain,(
% 0.21/0.51 ~spl0_120|~spl0_119|~spl0_32|~spl0_11),
% 0.21/0.51 inference(split_clause,[status(thm)],[f691,f688,f683,f275,f144])).
% 0.21/0.51 fof(f698,plain,(
% 0.21/0.51 spl0_122 <=> next(e_4,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f701,plain,(
% 0.21/0.51 ~next(e_4,e_4)|~greater(e_0,e_1)|~spl0_32|~spl0_3),
% 0.21/0.51 inference(resolution,[status(thm)],[f276,f117])).
% 0.21/0.51 fof(f702,plain,(
% 0.21/0.51 ~spl0_122|~spl0_119|~spl0_32|~spl0_3),
% 0.21/0.51 inference(split_clause,[status(thm)],[f701,f698,f683,f275,f116])).
% 0.21/0.51 fof(f703,plain,(
% 0.21/0.51 ~next(e_4,e_4)|~greater(e_0,e_0)|~spl0_32),
% 0.21/0.51 inference(resolution,[status(thm)],[f276,f61])).
% 0.21/0.51 fof(f704,plain,(
% 0.21/0.51 ~spl0_122|~spl0_18|~spl0_32),
% 0.21/0.51 inference(split_clause,[status(thm)],[f703,f698,f199,f275])).
% 0.21/0.51 fof(f706,plain,(
% 0.21/0.51 ~cycle(e_4,e_0)|~greater(e_3,e_4)|~spl0_48),
% 0.21/0.51 inference(resolution,[status(thm)],[f336,f66])).
% 0.21/0.51 fof(f707,plain,(
% 0.21/0.51 ~spl0_2|~spl0_109|~spl0_48),
% 0.21/0.51 inference(split_clause,[status(thm)],[f706,f113,f589,f335])).
% 0.21/0.51 fof(f708,plain,(
% 0.21/0.51 ![X0]: (~product(X0,e_1,e_3)|equalish(e_4,X0)|~spl0_48)),
% 0.21/0.51 inference(resolution,[status(thm)],[f336,f91])).
% 0.21/0.51 fof(f715,plain,(
% 0.21/0.51 ![X0]: (~product(X0,e_1,e_2)|equalish(e_4,X0)|~spl0_47)),
% 0.21/0.51 inference(resolution,[status(thm)],[f333,f91])).
% 0.21/0.51 fof(f716,plain,(
% 0.21/0.51 ![X0]: (~product(e_4,X0,e_2)|equalish(e_1,X0)|~spl0_47)),
% 0.21/0.51 inference(resolution,[status(thm)],[f333,f89])).
% 0.21/0.51 fof(f722,plain,(
% 0.21/0.51 equalish(e_1,e_4)|~spl0_46),
% 0.21/0.51 inference(resolution,[status(thm)],[f330,f101])).
% 0.21/0.51 fof(f723,plain,(
% 0.21/0.51 $false|~spl0_46),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f722,f75])).
% 0.21/0.51 fof(f724,plain,(
% 0.21/0.51 ~spl0_46),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f723])).
% 0.21/0.51 fof(f734,plain,(
% 0.21/0.51 equalish(e_4,e_2)|~spl0_45),
% 0.21/0.51 inference(resolution,[status(thm)],[f325,f99])).
% 0.21/0.51 fof(f735,plain,(
% 0.21/0.51 $false|~spl0_45),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f734,f83])).
% 0.21/0.51 fof(f736,plain,(
% 0.21/0.51 ~spl0_45),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f735])).
% 0.21/0.51 fof(f737,plain,(
% 0.21/0.51 ![X0]: (~product(X0,e_2,e_3)|equalish(e_4,X0)|~spl0_44)),
% 0.21/0.51 inference(resolution,[status(thm)],[f322,f91])).
% 0.21/0.51 fof(f741,plain,(
% 0.21/0.51 spl0_123 <=> next(e_2,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f743,plain,(
% 0.21/0.51 ~next(e_2,e_3)|spl0_123),
% 0.21/0.51 inference(component_clause,[status(thm)],[f741])).
% 0.21/0.51 fof(f744,plain,(
% 0.21/0.51 ~next(e_2,e_3)|~greater(e_0,e_1)|~spl0_30|~spl0_7),
% 0.21/0.51 inference(resolution,[status(thm)],[f268,f131])).
% 0.21/0.51 fof(f745,plain,(
% 0.21/0.51 ~spl0_123|~spl0_119|~spl0_30|~spl0_7),
% 0.21/0.51 inference(split_clause,[status(thm)],[f744,f741,f683,f267,f130])).
% 0.21/0.51 fof(f746,plain,(
% 0.21/0.51 spl0_124 <=> next(e_2,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f749,plain,(
% 0.21/0.51 ~next(e_2,e_2)|~greater(e_0,e_1)|~spl0_30|~spl0_11),
% 0.21/0.51 inference(resolution,[status(thm)],[f268,f145])).
% 0.21/0.51 fof(f750,plain,(
% 0.21/0.51 ~spl0_124|~spl0_119|~spl0_30|~spl0_11),
% 0.21/0.51 inference(split_clause,[status(thm)],[f749,f746,f683,f267,f144])).
% 0.21/0.51 fof(f756,plain,(
% 0.21/0.51 spl0_126 <=> next(e_2,e_4)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f759,plain,(
% 0.21/0.51 ~next(e_2,e_4)|~greater(e_0,e_1)|~spl0_30|~spl0_3),
% 0.21/0.51 inference(resolution,[status(thm)],[f268,f117])).
% 0.21/0.51 fof(f760,plain,(
% 0.21/0.51 ~spl0_126|~spl0_119|~spl0_30|~spl0_3),
% 0.21/0.51 inference(split_clause,[status(thm)],[f759,f756,f683,f267,f116])).
% 0.21/0.51 fof(f761,plain,(
% 0.21/0.51 ~next(e_2,e_4)|~greater(e_0,e_0)|~spl0_30),
% 0.21/0.51 inference(resolution,[status(thm)],[f268,f61])).
% 0.21/0.51 fof(f762,plain,(
% 0.21/0.51 ~spl0_126|~spl0_18|~spl0_30),
% 0.21/0.51 inference(split_clause,[status(thm)],[f761,f756,f199,f267])).
% 0.21/0.51 fof(f763,plain,(
% 0.21/0.51 $false|spl0_123),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f743,f46])).
% 0.21/0.51 fof(f764,plain,(
% 0.21/0.51 spl0_123),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f763])).
% 0.21/0.51 fof(f788,plain,(
% 0.21/0.51 spl0_127 <=> greater(e_0,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f791,plain,(
% 0.21/0.51 ~next(e_1,e_3)|~greater(e_0,e_2)|~spl0_8|~spl0_98),
% 0.21/0.51 inference(resolution,[status(thm)],[f134,f512])).
% 0.21/0.51 fof(f792,plain,(
% 0.21/0.51 ~spl0_113|~spl0_127|~spl0_8|~spl0_98),
% 0.21/0.51 inference(split_clause,[status(thm)],[f791,f628,f788,f133,f511])).
% 0.21/0.51 fof(f793,plain,(
% 0.21/0.51 ~next(e_2,e_3)|~greater(e_0,e_2)|~spl0_8|~spl0_30),
% 0.21/0.51 inference(resolution,[status(thm)],[f134,f268])).
% 0.21/0.51 fof(f794,plain,(
% 0.21/0.51 ~spl0_123|~spl0_127|~spl0_8|~spl0_30),
% 0.21/0.51 inference(split_clause,[status(thm)],[f793,f741,f788,f133,f267])).
% 0.21/0.51 fof(f795,plain,(
% 0.21/0.51 ~next(e_4,e_3)|~greater(e_0,e_2)|~spl0_8|~spl0_32),
% 0.21/0.51 inference(resolution,[status(thm)],[f134,f276])).
% 0.21/0.51 fof(f796,plain,(
% 0.21/0.51 ~spl0_118|~spl0_127|~spl0_8|~spl0_32),
% 0.21/0.51 inference(split_clause,[status(thm)],[f795,f680,f788,f133,f275])).
% 0.21/0.51 fof(f807,plain,(
% 0.21/0.51 ![X0]: (~product(e_4,X0,e_1)|equalish(e_2,X0)|~spl0_42)),
% 0.21/0.51 inference(resolution,[status(thm)],[f316,f89])).
% 0.21/0.51 fof(f814,plain,(
% 0.21/0.51 equalish(e_4,e_3)|~spl0_41),
% 0.21/0.51 inference(resolution,[status(thm)],[f311,f99])).
% 0.21/0.51 fof(f815,plain,(
% 0.21/0.51 $false|~spl0_41),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f814,f84])).
% 0.21/0.51 fof(f816,plain,(
% 0.21/0.51 ~spl0_41),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f815])).
% 0.21/0.51 fof(f817,plain,(
% 0.21/0.51 equalish(e_3,e_4)|~spl0_40),
% 0.21/0.51 inference(resolution,[status(thm)],[f308,f101])).
% 0.21/0.51 fof(f818,plain,(
% 0.21/0.51 $false|~spl0_40),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f817,f81])).
% 0.21/0.51 fof(f819,plain,(
% 0.21/0.51 ~spl0_40),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f818])).
% 0.21/0.51 fof(f820,plain,(
% 0.21/0.51 equalish(e_1,e_3)|~spl0_39|~spl0_47),
% 0.21/0.51 inference(resolution,[status(thm)],[f305,f716])).
% 0.21/0.51 fof(f821,plain,(
% 0.21/0.51 $false|~spl0_39|~spl0_47),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f820,f74])).
% 0.21/0.51 fof(f822,plain,(
% 0.21/0.51 ~spl0_39|~spl0_47),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f821])).
% 0.21/0.51 fof(f823,plain,(
% 0.21/0.51 equalish(e_2,e_3)|~spl0_38|~spl0_42),
% 0.21/0.51 inference(resolution,[status(thm)],[f302,f807])).
% 0.21/0.51 fof(f824,plain,(
% 0.21/0.51 $false|~spl0_38|~spl0_42),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f823,f77])).
% 0.21/0.51 fof(f825,plain,(
% 0.21/0.51 ~spl0_38|~spl0_42),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f824])).
% 0.21/0.51 fof(f829,plain,(
% 0.21/0.51 ![X0]: (~product(e_3,e_4,X0)|product(e_1,X0,e_3)|~spl0_38)),
% 0.21/0.51 inference(resolution,[status(thm)],[f302,f94])).
% 0.21/0.51 fof(f830,plain,(
% 0.21/0.51 equalish(e_2,e_4)|~spl0_43),
% 0.21/0.51 inference(resolution,[status(thm)],[f319,f101])).
% 0.21/0.51 fof(f831,plain,(
% 0.21/0.51 $false|~spl0_43),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f830,f78])).
% 0.21/0.51 fof(f832,plain,(
% 0.21/0.51 ~spl0_43),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f831])).
% 0.21/0.51 fof(f833,plain,(
% 0.21/0.51 ![X0]: (~product(X0,e_3,e_2)|equalish(e_4,X0)|~spl0_39)),
% 0.21/0.51 inference(resolution,[status(thm)],[f305,f91])).
% 0.21/0.51 fof(f838,plain,(
% 0.21/0.51 spl0_128 <=> greater(e_4,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f840,plain,(
% 0.21/0.51 ~greater(e_4,e_3)|spl0_128),
% 0.21/0.51 inference(component_clause,[status(thm)],[f838])).
% 0.21/0.51 fof(f841,plain,(
% 0.21/0.51 ~cycle(e_3,e_0)|~greater(e_4,e_3)|~spl0_65),
% 0.21/0.51 inference(resolution,[status(thm)],[f395,f66])).
% 0.21/0.51 fof(f842,plain,(
% 0.21/0.51 ~spl0_6|~spl0_128|~spl0_65),
% 0.21/0.51 inference(split_clause,[status(thm)],[f841,f127,f838,f394])).
% 0.21/0.51 fof(f844,plain,(
% 0.21/0.51 ![X0]: (~product(e_3,X0,e_4)|equalish(e_1,X0)|~spl0_65)),
% 0.21/0.51 inference(resolution,[status(thm)],[f395,f89])).
% 0.21/0.51 fof(f847,plain,(
% 0.21/0.51 $false|spl0_128),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f840,f57])).
% 0.21/0.51 fof(f848,plain,(
% 0.21/0.51 spl0_128),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f847])).
% 0.21/0.51 fof(f854,plain,(
% 0.21/0.51 equalish(e_4,e_3)|~spl0_63|~spl0_47),
% 0.21/0.51 inference(resolution,[status(thm)],[f389,f715])).
% 0.21/0.51 fof(f855,plain,(
% 0.21/0.51 $false|~spl0_63|~spl0_47),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f854,f84])).
% 0.21/0.51 fof(f856,plain,(
% 0.21/0.51 ~spl0_63|~spl0_47),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f855])).
% 0.21/0.51 fof(f863,plain,(
% 0.21/0.51 equalish(e_1,e_3)|~spl0_62),
% 0.21/0.51 inference(resolution,[status(thm)],[f386,f101])).
% 0.21/0.51 fof(f864,plain,(
% 0.21/0.51 $false|~spl0_62),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f863,f74])).
% 0.21/0.51 fof(f865,plain,(
% 0.21/0.51 ~spl0_62),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f864])).
% 0.21/0.51 fof(f872,plain,(
% 0.21/0.51 equalish(e_3,e_1)|~spl0_64),
% 0.21/0.51 inference(resolution,[status(thm)],[f392,f99])).
% 0.21/0.51 fof(f873,plain,(
% 0.21/0.51 $false|~spl0_64),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f872,f79])).
% 0.21/0.51 fof(f874,plain,(
% 0.21/0.51 ~spl0_64),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f873])).
% 0.21/0.51 fof(f878,plain,(
% 0.21/0.51 ![X0]: (~product(e_2,e_3,X0)|product(e_4,X0,e_2)|~spl0_61)),
% 0.21/0.51 inference(resolution,[status(thm)],[f381,f94])).
% 0.21/0.51 fof(f882,plain,(
% 0.21/0.51 equalish(e_2,e_3)|~spl0_59),
% 0.21/0.51 inference(resolution,[status(thm)],[f375,f101])).
% 0.21/0.51 fof(f883,plain,(
% 0.21/0.51 $false|~spl0_59),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f882,f77])).
% 0.21/0.51 fof(f884,plain,(
% 0.21/0.51 ~spl0_59),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f883])).
% 0.21/0.51 fof(f885,plain,(
% 0.21/0.51 ![X0]: (~product(X0,e_2,e_1)|equalish(e_3,X0)|~spl0_58)),
% 0.21/0.51 inference(resolution,[status(thm)],[f372,f91])).
% 0.21/0.51 fof(f886,plain,(
% 0.21/0.51 ![X0]: (~product(e_3,X0,e_1)|equalish(e_2,X0)|~spl0_58)),
% 0.21/0.51 inference(resolution,[status(thm)],[f372,f89])).
% 0.21/0.51 fof(f888,plain,(
% 0.21/0.51 ![X0]: (~product(e_2,e_3,X0)|product(e_1,X0,e_2)|~spl0_58)),
% 0.21/0.51 inference(resolution,[status(thm)],[f372,f94])).
% 0.21/0.51 fof(f891,plain,(
% 0.21/0.51 equalish(e_3,e_4)|~spl0_57),
% 0.21/0.51 inference(resolution,[status(thm)],[f367,f97])).
% 0.21/0.51 fof(f892,plain,(
% 0.21/0.51 $false|~spl0_57),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f891,f81])).
% 0.21/0.51 fof(f893,plain,(
% 0.21/0.51 ~spl0_57),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f892])).
% 0.21/0.51 fof(f894,plain,(
% 0.21/0.51 equalish(e_1,e_2)|~spl0_65|~spl0_61),
% 0.21/0.51 inference(resolution,[status(thm)],[f844,f381])).
% 0.21/0.51 fof(f895,plain,(
% 0.21/0.51 $false|~spl0_65|~spl0_61),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f894,f73])).
% 0.21/0.51 fof(f896,plain,(
% 0.21/0.51 ~spl0_65|~spl0_61),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f895])).
% 0.21/0.51 fof(f902,plain,(
% 0.21/0.51 equalish(e_3,e_2)|~spl0_55),
% 0.21/0.51 inference(resolution,[status(thm)],[f361,f97])).
% 0.21/0.51 fof(f903,plain,(
% 0.21/0.51 $false|~spl0_55),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f902,f80])).
% 0.21/0.51 fof(f904,plain,(
% 0.21/0.51 ~spl0_55),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f903])).
% 0.21/0.51 fof(f905,plain,(
% 0.21/0.51 equalish(e_2,e_3)|~spl0_54|~spl0_58),
% 0.21/0.51 inference(resolution,[status(thm)],[f358,f886])).
% 0.21/0.51 fof(f906,plain,(
% 0.21/0.51 $false|~spl0_54|~spl0_58),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f905,f77])).
% 0.21/0.51 fof(f907,plain,(
% 0.21/0.51 ~spl0_54|~spl0_58),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f906])).
% 0.21/0.51 fof(f914,plain,(
% 0.21/0.51 equalish(e_3,e_4)|~spl0_52),
% 0.21/0.51 inference(resolution,[status(thm)],[f350,f99])).
% 0.21/0.51 fof(f915,plain,(
% 0.21/0.51 $false|~spl0_52),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f914,f81])).
% 0.21/0.51 fof(f916,plain,(
% 0.21/0.51 ~spl0_52),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f915])).
% 0.21/0.51 fof(f917,plain,(
% 0.21/0.51 product(e_1,e_2,e_3)|~spl0_51|~spl0_38),
% 0.21/0.51 inference(resolution,[status(thm)],[f347,f829])).
% 0.21/0.51 fof(f922,plain,(
% 0.21/0.51 equalish(e_4,e_1)|~spl0_51|~spl0_38|~spl0_44),
% 0.21/0.51 inference(resolution,[status(thm)],[f917,f737])).
% 0.21/0.51 fof(f923,plain,(
% 0.21/0.51 $false|~spl0_51|~spl0_38|~spl0_44),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f922,f82])).
% 0.21/0.51 fof(f924,plain,(
% 0.21/0.51 ~spl0_51|~spl0_38|~spl0_44),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f923])).
% 0.21/0.51 fof(f925,plain,(
% 0.21/0.51 product(e_1,e_1,e_3)|~spl0_50|~spl0_38),
% 0.21/0.51 inference(resolution,[status(thm)],[f344,f829])).
% 0.21/0.51 fof(f926,plain,(
% 0.21/0.51 equalish(e_2,e_4)|~spl0_50|~spl0_58),
% 0.21/0.51 inference(resolution,[status(thm)],[f344,f886])).
% 0.21/0.51 fof(f927,plain,(
% 0.21/0.51 $false|~spl0_50|~spl0_58),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f926,f78])).
% 0.21/0.51 fof(f928,plain,(
% 0.21/0.51 ~spl0_50|~spl0_58),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f927])).
% 0.21/0.51 fof(f933,plain,(
% 0.21/0.51 spl0_131 <=> greater(e_2,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f936,plain,(
% 0.21/0.51 ~cycle(e_3,e_0)|~greater(e_2,e_3)|~spl0_63),
% 0.21/0.51 inference(resolution,[status(thm)],[f389,f66])).
% 0.21/0.51 fof(f937,plain,(
% 0.21/0.51 ~spl0_6|~spl0_131|~spl0_63),
% 0.21/0.51 inference(split_clause,[status(thm)],[f936,f127,f933,f388])).
% 0.21/0.51 fof(f946,plain,(
% 0.21/0.51 equalish(e_1,e_3)|~spl0_50|~spl0_38),
% 0.21/0.51 inference(resolution,[status(thm)],[f925,f97])).
% 0.21/0.51 fof(f947,plain,(
% 0.21/0.51 $false|~spl0_50|~spl0_38),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f946,f74])).
% 0.21/0.51 fof(f948,plain,(
% 0.21/0.51 ~spl0_50|~spl0_38),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f947])).
% 0.21/0.51 fof(f949,plain,(
% 0.21/0.51 equalish(e_4,e_3)|~spl0_53),
% 0.21/0.51 inference(resolution,[status(thm)],[f353,f101])).
% 0.21/0.51 fof(f950,plain,(
% 0.21/0.51 $false|~spl0_53),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f949,f84])).
% 0.21/0.51 fof(f951,plain,(
% 0.21/0.51 ~spl0_53),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f950])).
% 0.21/0.51 fof(f953,plain,(
% 0.21/0.51 spl0_132 <=> greater(e_4,e_2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f955,plain,(
% 0.21/0.51 ~greater(e_4,e_2)|spl0_132),
% 0.21/0.51 inference(component_clause,[status(thm)],[f953])).
% 0.21/0.51 fof(f956,plain,(
% 0.21/0.51 ~cycle(e_2,e_0)|~greater(e_4,e_2)|~spl0_81),
% 0.21/0.51 inference(resolution,[status(thm)],[f451,f66])).
% 0.21/0.51 fof(f957,plain,(
% 0.21/0.51 ~spl0_10|~spl0_132|~spl0_81),
% 0.21/0.51 inference(split_clause,[status(thm)],[f956,f141,f953,f450])).
% 0.21/0.51 fof(f959,plain,(
% 0.21/0.51 ![X0]: (~product(e_2,X0,e_4)|equalish(e_1,X0)|~spl0_81)),
% 0.21/0.51 inference(resolution,[status(thm)],[f451,f89])).
% 0.21/0.51 fof(f962,plain,(
% 0.21/0.51 $false|spl0_132),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f955,f56])).
% 0.21/0.51 fof(f963,plain,(
% 0.21/0.51 spl0_132),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f962])).
% 0.21/0.51 fof(f965,plain,(
% 0.21/0.51 equalish(e_4,e_2)|~spl0_80|~spl0_48),
% 0.21/0.51 inference(resolution,[status(thm)],[f448,f708])).
% 0.21/0.51 fof(f966,plain,(
% 0.21/0.51 $false|~spl0_80|~spl0_48),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f965,f83])).
% 0.21/0.51 fof(f967,plain,(
% 0.21/0.51 ~spl0_80|~spl0_48),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f966])).
% 0.21/0.51 fof(f978,plain,(
% 0.21/0.51 equalish(e_1,e_2)|~spl0_78),
% 0.21/0.51 inference(resolution,[status(thm)],[f442,f101])).
% 0.21/0.51 fof(f979,plain,(
% 0.21/0.51 $false|~spl0_78),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f978,f73])).
% 0.21/0.51 fof(f980,plain,(
% 0.21/0.51 ~spl0_78),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f979])).
% 0.21/0.51 fof(f987,plain,(
% 0.21/0.51 equalish(e_2,e_1)|~spl0_79),
% 0.21/0.51 inference(resolution,[status(thm)],[f445,f99])).
% 0.21/0.51 fof(f988,plain,(
% 0.21/0.51 $false|~spl0_79),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f987,f76])).
% 0.21/0.51 fof(f989,plain,(
% 0.21/0.51 ~spl0_79),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f988])).
% 0.21/0.51 fof(f991,plain,(
% 0.21/0.51 spl0_135 <=> greater(e_0,e_3)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f994,plain,(
% 0.21/0.51 ~next(e_2,e_2)|~greater(e_0,e_3)|~spl0_13|~spl0_30),
% 0.21/0.51 inference(resolution,[status(thm)],[f151,f268])).
% 0.21/0.51 fof(f995,plain,(
% 0.21/0.51 ~spl0_124|~spl0_135|~spl0_13|~spl0_30),
% 0.21/0.51 inference(split_clause,[status(thm)],[f994,f746,f991,f150,f267])).
% 0.21/0.51 fof(f996,plain,(
% 0.21/0.51 ~next(e_4,e_2)|~greater(e_0,e_3)|~spl0_13|~spl0_32),
% 0.21/0.51 inference(resolution,[status(thm)],[f151,f276])).
% 0.21/0.51 fof(f997,plain,(
% 0.21/0.51 ~spl0_120|~spl0_135|~spl0_13|~spl0_32),
% 0.21/0.51 inference(split_clause,[status(thm)],[f996,f688,f991,f150,f275])).
% 0.21/0.51 fof(f999,plain,(
% 0.21/0.51 spl0_136 <=> ~cycle(X0,X1)|~next(e_2,X0)|~next(X1,X2)|equalish(e_3,X2)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1002,plain,(
% 0.21/0.51 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_2,X0)|~greater(e_3,e_0)|~next(X1,X2)|equalish(e_3,X2)|~spl0_13)),
% 0.21/0.51 inference(resolution,[status(thm)],[f151,f63])).
% 0.21/0.51 fof(f1003,plain,(
% 0.21/0.51 spl0_136|~spl0_23|~spl0_13),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1002,f999,f224,f150])).
% 0.21/0.51 fof(f1004,plain,(
% 0.21/0.51 ![X0,X1]: (~product(e_2,e_1,X0)|~greater(e_3,e_0)|~next(e_2,X1)|equalish(X0,X1)|~spl0_13)),
% 0.21/0.51 inference(resolution,[status(thm)],[f151,f68])).
% 0.21/0.51 fof(f1005,plain,(
% 0.21/0.51 spl0_20|~spl0_23|~spl0_13),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1004,f209,f224,f150])).
% 0.21/0.51 fof(f1017,plain,(
% 0.21/0.51 equalish(e_1,e_2)|~spl0_77|~spl0_81),
% 0.21/0.51 inference(resolution,[status(thm)],[f437,f959])).
% 0.21/0.51 fof(f1018,plain,(
% 0.21/0.51 $false|~spl0_77|~spl0_81),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1017,f73])).
% 0.21/0.51 fof(f1019,plain,(
% 0.21/0.51 ~spl0_77|~spl0_81),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f1018])).
% 0.21/0.51 fof(f1023,plain,(
% 0.21/0.51 equalish(e_3,e_2)|~spl0_74|~spl0_58),
% 0.21/0.51 inference(resolution,[status(thm)],[f428,f885])).
% 0.21/0.51 fof(f1024,plain,(
% 0.21/0.51 $false|~spl0_74|~spl0_58),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1023,f80])).
% 0.21/0.51 fof(f1025,plain,(
% 0.21/0.51 ~spl0_74|~spl0_58),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f1024])).
% 0.21/0.51 fof(f1027,plain,(
% 0.21/0.51 equalish(e_1,e_3)|~spl0_73|~spl0_81),
% 0.21/0.51 inference(resolution,[status(thm)],[f423,f959])).
% 0.21/0.51 fof(f1028,plain,(
% 0.21/0.51 $false|~spl0_73|~spl0_81),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1027,f74])).
% 0.21/0.51 fof(f1029,plain,(
% 0.21/0.51 ~spl0_73|~spl0_81),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f1028])).
% 0.21/0.51 fof(f1031,plain,(
% 0.21/0.51 equalish(e_3,e_2)|~spl0_72),
% 0.21/0.51 inference(resolution,[status(thm)],[f420,f101])).
% 0.21/0.51 fof(f1032,plain,(
% 0.21/0.51 $false|~spl0_72),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1031,f80])).
% 0.21/0.51 fof(f1033,plain,(
% 0.21/0.51 ~spl0_72),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f1032])).
% 0.21/0.51 fof(f1035,plain,(
% 0.21/0.51 equalish(e_4,e_2)|~spl0_71|~spl0_39),
% 0.21/0.51 inference(resolution,[status(thm)],[f417,f833])).
% 0.21/0.51 fof(f1036,plain,(
% 0.21/0.51 $false|~spl0_71|~spl0_39),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1035,f83])).
% 0.21/0.51 fof(f1037,plain,(
% 0.21/0.51 ~spl0_71|~spl0_39),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f1036])).
% 0.21/0.51 fof(f1038,plain,(
% 0.21/0.51 product(e_1,e_1,e_2)|~spl0_70|~spl0_58),
% 0.21/0.51 inference(resolution,[status(thm)],[f414,f888])).
% 0.21/0.51 fof(f1047,plain,(
% 0.21/0.51 equalish(e_3,e_2)|~spl0_60),
% 0.21/0.51 inference(resolution,[status(thm)],[f378,f99])).
% 0.21/0.51 fof(f1048,plain,(
% 0.21/0.51 $false|~spl0_60),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1047,f80])).
% 0.21/0.51 fof(f1049,plain,(
% 0.21/0.51 ~spl0_60),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f1048])).
% 0.21/0.51 fof(f1050,plain,(
% 0.21/0.51 product(e_4,e_1,e_2)|~spl0_61|~spl0_70),
% 0.21/0.51 inference(resolution,[status(thm)],[f878,f414])).
% 0.21/0.51 fof(f1051,plain,(
% 0.21/0.51 spl0_47|~spl0_61|~spl0_70),
% 0.21/0.51 inference(split_clause,[status(thm)],[f1050,f332,f380,f413])).
% 0.21/0.51 fof(f1056,plain,(
% 0.21/0.51 equalish(e_1,e_2)|~spl0_70|~spl0_58),
% 0.21/0.51 inference(resolution,[status(thm)],[f1038,f97])).
% 0.21/0.51 fof(f1057,plain,(
% 0.21/0.51 $false|~spl0_70|~spl0_58),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1056,f73])).
% 0.21/0.51 fof(f1058,plain,(
% 0.21/0.51 ~spl0_70|~spl0_58),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f1057])).
% 0.21/0.51 fof(f1059,plain,(
% 0.21/0.51 $false),
% 0.21/0.51 inference(sat_refutation,[status(thm)],[f110,f126,f140,f154,f165,f186,f194,f203,f208,f215,f220,f228,f230,f232,f234,f239,f249,f259,f264,f282,f314,f328,f342,f356,f370,f384,f398,f426,f454,f518,f526,f543,f545,f554,f561,f566,f568,f570,f575,f582,f584,f599,f613,f616,f641,f645,f651,f653,f660,f662,f670,f676,f678,f687,f692,f702,f704,f707,f724,f736,f745,f750,f760,f762,f764,f792,f794,f796,f816,f819,f822,f825,f832,f842,f848,f856,f865,f874,f884,f893,f896,f904,f907,f916,f924,f928,f937,f948,f951,f957,f963,f967,f980,f989,f995,f997,f1003,f1005,f1019,f1025,f1029,f1033,f1037,f1049,f1051,f1058])).
% 0.21/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.51 % Elapsed time: 0.163671 seconds
% 0.21/0.51 % CPU time: 1.217068 seconds
% 0.21/0.51 % Total memory used: 17.608 MB
% 0.21/0.51 % Net memory used: 16.099 MB
%------------------------------------------------------------------------------