%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP130-3.003 : 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 : n011.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 12:35:59 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP130-3.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n011.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sun Sep 20 20:01:31 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.13/5.44 % Refutation found
% 0.13/5.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.44 fof(f1,axiom,(
% 0.13/5.44 next(e_0,e_1) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f2,axiom,(
% 0.13/5.44 next(e_1,e_2) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f3,axiom,(
% 0.13/5.44 next(e_2,e_3) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f4,axiom,(
% 0.13/5.44 greater(e_1,e_0) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f5,axiom,(
% 0.13/5.44 greater(e_2,e_0) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f7,axiom,(
% 0.13/5.44 greater(e_2,e_1) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f8,axiom,(
% 0.13/5.44 greater(e_3,e_1) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f9,axiom,(
% 0.13/5.44 greater(e_3,e_2) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f11,axiom,(
% 0.13/5.44 (![X]: (( ~ group_element(X)| cycle(X,e_0)| cycle(X,e_1)| cycle(X,e_2) ) ))),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f12,axiom,(
% 0.13/5.44 cycle(e_3,e_0) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f13,axiom,(
% 0.13/5.44 (![X,Y,W,Z,Z1]: (( ~ cycle(X,Y)| ~ cycle(W,Z)| ~ next(X,W)| ~ greater(Y,e_0)| ~ next(Z,Z1)| equalish(Y,Z1) ) ))),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f14,axiom,(
% 0.13/5.44 (![X,Z1,Y,W,Z2]: (( ~ cycle(X,Z1)| ~ cycle(Y,e_0)| ~ cycle(W,Z2)| ~ next(Y,W)| ~ greater(Y,X)| ~ greater(Z1,Z2) ) ))),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f15,axiom,(
% 0.13/5.44 (![X,Y]: (( ~ cycle(X,e_0)| ~ product(X,e_1,Y)| ~ greater(Y,X) ) ))),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f16,axiom,(
% 0.13/5.44 (![X,Y,Z,X1]: (( ~ cycle(X,Y)| ~ product(X,e_1,Z)| ~ greater(Y,e_0)| ~ next(X,X1)| equalish(Z,X1) ) ))),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f17,axiom,(
% 0.13/5.44 group_element(e_1) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f18,axiom,(
% 0.13/5.44 group_element(e_2) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f19,axiom,(
% 0.13/5.44 group_element(e_3) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f20,axiom,(
% 0.13/5.44 ~ equalish(e_1,e_2) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f21,axiom,(
% 0.13/5.44 ~ equalish(e_1,e_3) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f22,axiom,(
% 0.13/5.44 ~ equalish(e_2,e_1) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f23,axiom,(
% 0.13/5.44 ~ equalish(e_2,e_3) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f24,axiom,(
% 0.13/5.44 ~ equalish(e_3,e_1) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f25,axiom,(
% 0.13/5.44 ~ equalish(e_3,e_2) ),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f26,axiom,(
% 0.13/5.44 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3) ) ))),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f27,axiom,(
% 0.13/5.44 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f28,axiom,(
% 0.13/5.44 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f29,axiom,(
% 0.13/5.44 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f30,negated_conjecture,(
% 0.13/5.44 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(X,Z1,Z2)| product(Z2,Y,X) ) ))),
% 0.13/5.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/5.44 fof(f31,plain,(
% 0.13/5.44 next(e_0,e_1)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/5.44 fof(f32,plain,(
% 0.13/5.44 next(e_1,e_2)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/5.44 fof(f33,plain,(
% 0.13/5.44 next(e_2,e_3)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/5.44 fof(f34,plain,(
% 0.13/5.44 greater(e_1,e_0)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/5.44 fof(f35,plain,(
% 0.13/5.44 greater(e_2,e_0)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/5.44 fof(f37,plain,(
% 0.13/5.44 greater(e_2,e_1)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/5.44 fof(f38,plain,(
% 0.13/5.44 greater(e_3,e_1)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/5.44 fof(f39,plain,(
% 0.13/5.44 greater(e_3,e_2)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/5.44 fof(f42,plain,(
% 0.13/5.44 ![X0]: (~group_element(X0)|cycle(X0,e_0)|cycle(X0,e_1)|cycle(X0,e_2))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/5.44 fof(f43,plain,(
% 0.13/5.44 cycle(e_3,e_0)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/5.44 fof(f44,plain,(
% 0.13/5.44 ![Y,Z1]: ((![Z]: (((![X,W]: ((~cycle(X,Y)|~cycle(W,Z))|~next(X,W)))|~greater(Y,e_0))|~next(Z,Z1)))|equalish(Y,Z1))),
% 0.13/5.44 inference(miniscoping,[status(thm)],[f13])).
% 0.13/5.44 fof(f45,plain,(
% 0.13/5.44 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(X0,X2)|~greater(X1,e_0)|~next(X3,X4)|equalish(X1,X4))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/5.44 fof(f46,plain,(
% 0.13/5.44 ![Z1,Z2]: ((![X,Y]: ((![W]: (((~cycle(X,Z1)|~cycle(Y,e_0))|~cycle(W,Z2))|~next(Y,W)))|~greater(Y,X)))|~greater(Z1,Z2))),
% 0.13/5.44 inference(miniscoping,[status(thm)],[f14])).
% 0.13/5.44 fof(f47,plain,(
% 0.13/5.44 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,e_0)|~cycle(X3,X4)|~next(X2,X3)|~greater(X2,X0)|~greater(X1,X4))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/5.44 fof(f48,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,e_0)|~product(X0,e_1,X1)|~greater(X1,X0))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/5.44 fof(f49,plain,(
% 0.13/5.44 ![Z,X1]: ((![X]: ((![Y]: ((~cycle(X,Y)|~product(X,e_1,Z))|~greater(Y,e_0)))|~next(X,X1)))|equalish(Z,X1))),
% 0.13/5.44 inference(miniscoping,[status(thm)],[f16])).
% 0.13/5.44 fof(f50,plain,(
% 0.13/5.44 ![X0,X1,X2,X3]: (~cycle(X0,X1)|~product(X0,e_1,X2)|~greater(X1,e_0)|~next(X0,X3)|equalish(X2,X3))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f49])).
% 0.13/5.44 fof(f51,plain,(
% 0.13/5.44 group_element(e_1)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/5.44 fof(f52,plain,(
% 0.13/5.44 group_element(e_2)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/5.44 fof(f53,plain,(
% 0.13/5.44 group_element(e_3)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/5.44 fof(f54,plain,(
% 0.13/5.44 ~equalish(e_1,e_2)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/5.44 fof(f55,plain,(
% 0.13/5.44 ~equalish(e_1,e_3)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/5.44 fof(f56,plain,(
% 0.13/5.44 ~equalish(e_2,e_1)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/5.44 fof(f57,plain,(
% 0.13/5.44 ~equalish(e_2,e_3)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/5.44 fof(f58,plain,(
% 0.13/5.44 ~equalish(e_3,e_1)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/5.44 fof(f59,plain,(
% 0.13/5.44 ~equalish(e_3,e_2)),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/5.44 fof(f60,plain,(
% 0.13/5.44 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/5.44 fof(f61,plain,(
% 0.13/5.44 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.13/5.44 inference(miniscoping,[status(thm)],[f27])).
% 0.13/5.44 fof(f62,plain,(
% 0.13/5.44 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f61])).
% 0.13/5.44 fof(f63,plain,(
% 0.13/5.44 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.13/5.44 inference(miniscoping,[status(thm)],[f28])).
% 0.13/5.44 fof(f64,plain,(
% 0.13/5.44 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/5.44 fof(f65,plain,(
% 0.13/5.44 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.13/5.44 inference(miniscoping,[status(thm)],[f29])).
% 0.13/5.44 fof(f66,plain,(
% 0.13/5.44 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f65])).
% 0.13/5.44 fof(f67,plain,(
% 0.13/5.44 ![X,Y,Z2]: ((![Z1]: (~product(X,Y,Z1)|~product(X,Z1,Z2)))|product(Z2,Y,X))),
% 0.13/5.44 inference(miniscoping,[status(thm)],[f30])).
% 0.13/5.44 fof(f68,plain,(
% 0.13/5.44 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X2,X3)|product(X3,X1,X0))),
% 0.13/5.44 inference(cnf_transformation,[status(thm)],[f67])).
% 0.13/5.44 fof(f70,plain,(
% 0.13/5.44 ![X0,X1,X2]: (~cycle(X0,X1)|~next(X0,e_3)|~greater(X1,e_0)|~next(e_0,X2)|equalish(X1,X2))),
% 0.13/5.44 inference(resolution,[status(thm)],[f45,f43])).
% 0.13/5.44 fof(f71,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,X1)|~next(e_3,e_3)|~greater(e_3,X0)|~greater(X1,e_0))),
% 0.13/5.44 inference(resolution,[status(thm)],[f47,f43])).
% 0.13/5.44 fof(f72,plain,(
% 0.13/5.44 ![X0,X1,X2,X3]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(e_3,X2)|~greater(e_3,X0)|~greater(X1,X3))),
% 0.13/5.44 inference(resolution,[status(thm)],[f47,f43])).
% 0.13/5.44 fof(f73,plain,(
% 0.13/5.44 ![X0,X1,X2]: (~cycle(X0,X1)|~cycle(X2,e_0)|~next(X2,e_3)|~greater(X2,X0)|~greater(X1,e_0))),
% 0.13/5.44 inference(resolution,[status(thm)],[f47,f43])).
% 0.13/5.44 fof(f74,definition,(
% 0.13/5.44 ![X0,X1]: (sQ0_spl <=> (~cycle(X0,X1)|~greater(e_3,X0)|~greater(X1,e_0)))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f75,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,X1)|~greater(e_3,X0)|~greater(X1,e_0)|~sQ0_spl)),
% 0.13/5.44 inference(component_clause,[status(thm)],[f74])).
% 0.13/5.44 fof(f77,definition,(
% 0.13/5.44 sQ1_spl <=> (next(e_3,e_3))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f80,plain,(
% 0.13/5.44 sQ0_spl|~sQ1_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f71,f74,f77])).
% 0.13/5.44 fof(f82,plain,(
% 0.13/5.44 cycle(e_2,e_0)|cycle(e_2,e_1)|cycle(e_2,e_2)),
% 0.13/5.44 inference(resolution,[status(thm)],[f42,f52])).
% 0.13/5.44 fof(f83,plain,(
% 0.13/5.44 cycle(e_1,e_0)|cycle(e_1,e_1)|cycle(e_1,e_2)),
% 0.13/5.44 inference(resolution,[status(thm)],[f42,f51])).
% 0.13/5.44 fof(f84,definition,(
% 0.13/5.44 sQ2_spl <=> (cycle(e_3,e_0))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f86,plain,(
% 0.13/5.44 ~cycle(e_3,e_0)|sQ2_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f84])).
% 0.13/5.44 fof(f87,definition,(
% 0.13/5.44 sQ3_spl <=> (cycle(e_3,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f88,plain,(
% 0.13/5.44 cycle(e_3,e_1)|~sQ3_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f87])).
% 0.13/5.44 fof(f90,definition,(
% 0.13/5.44 sQ4_spl <=> (cycle(e_3,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f91,plain,(
% 0.13/5.44 cycle(e_3,e_2)|~sQ4_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f90])).
% 0.13/5.44 fof(f94,definition,(
% 0.13/5.44 sQ5_spl <=> (cycle(e_2,e_0))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f95,plain,(
% 0.13/5.44 cycle(e_2,e_0)|~sQ5_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f94])).
% 0.13/5.44 fof(f97,definition,(
% 0.13/5.44 sQ6_spl <=> (cycle(e_2,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f98,plain,(
% 0.13/5.44 cycle(e_2,e_1)|~sQ6_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f97])).
% 0.13/5.44 fof(f100,definition,(
% 0.13/5.44 sQ7_spl <=> (cycle(e_2,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f101,plain,(
% 0.13/5.44 cycle(e_2,e_2)|~sQ7_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f100])).
% 0.13/5.44 fof(f103,plain,(
% 0.13/5.44 sQ5_spl|sQ6_spl|sQ7_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f82,f94,f97,f100])).
% 0.13/5.44 fof(f104,definition,(
% 0.13/5.44 sQ8_spl <=> (cycle(e_1,e_0))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f105,plain,(
% 0.13/5.44 cycle(e_1,e_0)|~sQ8_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f104])).
% 0.13/5.44 fof(f107,definition,(
% 0.13/5.44 sQ9_spl <=> (cycle(e_1,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f108,plain,(
% 0.13/5.44 cycle(e_1,e_1)|~sQ9_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f107])).
% 0.13/5.44 fof(f110,definition,(
% 0.13/5.44 sQ10_spl <=> (cycle(e_1,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f111,plain,(
% 0.13/5.44 cycle(e_1,e_2)|~sQ10_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f110])).
% 0.13/5.44 fof(f113,plain,(
% 0.13/5.44 sQ8_spl|sQ9_spl|sQ10_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f83,f104,f107,f110])).
% 0.13/5.44 fof(f114,plain,(
% 0.13/5.44 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3))),
% 0.13/5.44 inference(resolution,[status(thm)],[f60,f53])).
% 0.13/5.44 fof(f115,plain,(
% 0.13/5.44 ![X0]: (~group_element(X0)|product(e_2,X0,e_1)|product(e_2,X0,e_2)|product(e_2,X0,e_3))),
% 0.13/5.44 inference(resolution,[status(thm)],[f60,f52])).
% 0.13/5.44 fof(f116,plain,(
% 0.13/5.44 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_2)|product(e_1,X0,e_3))),
% 0.13/5.44 inference(resolution,[status(thm)],[f60,f51])).
% 0.13/5.44 fof(f118,plain,(
% 0.13/5.44 product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3)),
% 0.13/5.44 inference(resolution,[status(thm)],[f114,f52])).
% 0.13/5.44 fof(f119,plain,(
% 0.13/5.44 product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3)),
% 0.13/5.44 inference(resolution,[status(thm)],[f114,f51])).
% 0.13/5.44 fof(f120,definition,(
% 0.13/5.44 sQ11_spl <=> (product(e_3,e_3,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f121,plain,(
% 0.13/5.44 product(e_3,e_3,e_1)|~sQ11_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f120])).
% 0.13/5.44 fof(f130,definition,(
% 0.13/5.44 sQ14_spl <=> (product(e_3,e_2,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f131,plain,(
% 0.13/5.44 product(e_3,e_2,e_1)|~sQ14_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f130])).
% 0.13/5.44 fof(f133,definition,(
% 0.13/5.44 sQ15_spl <=> (product(e_3,e_2,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f134,plain,(
% 0.13/5.44 product(e_3,e_2,e_2)|~sQ15_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f133])).
% 0.13/5.44 fof(f136,definition,(
% 0.13/5.44 sQ16_spl <=> (product(e_3,e_2,e_3))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f137,plain,(
% 0.13/5.44 product(e_3,e_2,e_3)|~sQ16_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f136])).
% 0.13/5.44 fof(f139,plain,(
% 0.13/5.44 sQ14_spl|sQ15_spl|sQ16_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f118,f130,f133,f136])).
% 0.13/5.44 fof(f140,definition,(
% 0.13/5.44 sQ17_spl <=> (product(e_3,e_1,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f141,plain,(
% 0.13/5.44 product(e_3,e_1,e_1)|~sQ17_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f140])).
% 0.13/5.44 fof(f143,definition,(
% 0.13/5.44 sQ18_spl <=> (product(e_3,e_1,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f144,plain,(
% 0.13/5.44 product(e_3,e_1,e_2)|~sQ18_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f143])).
% 0.13/5.44 fof(f146,definition,(
% 0.13/5.44 sQ19_spl <=> (product(e_3,e_1,e_3))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f147,plain,(
% 0.13/5.44 product(e_3,e_1,e_3)|~sQ19_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f146])).
% 0.13/5.44 fof(f149,plain,(
% 0.13/5.44 sQ17_spl|sQ18_spl|sQ19_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f119,f140,f143,f146])).
% 0.13/5.44 fof(f150,plain,(
% 0.13/5.44 product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3)),
% 0.13/5.44 inference(resolution,[status(thm)],[f115,f53])).
% 0.13/5.44 fof(f153,definition,(
% 0.13/5.44 sQ20_spl <=> (product(e_2,e_3,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f154,plain,(
% 0.13/5.44 product(e_2,e_3,e_1)|~sQ20_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f153])).
% 0.13/5.44 fof(f156,definition,(
% 0.13/5.44 sQ21_spl <=> (product(e_2,e_3,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f157,plain,(
% 0.13/5.44 product(e_2,e_3,e_2)|~sQ21_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f156])).
% 0.13/5.44 fof(f159,definition,(
% 0.13/5.44 sQ22_spl <=> (product(e_2,e_3,e_3))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f160,plain,(
% 0.13/5.44 product(e_2,e_3,e_3)|~sQ22_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f159])).
% 0.13/5.44 fof(f162,plain,(
% 0.13/5.44 sQ20_spl|sQ21_spl|sQ22_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f150,f153,f156,f159])).
% 0.13/5.44 fof(f173,definition,(
% 0.13/5.44 sQ26_spl <=> (product(e_2,e_1,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f174,plain,(
% 0.13/5.44 product(e_2,e_1,e_1)|~sQ26_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f173])).
% 0.13/5.44 fof(f175,plain,(
% 0.13/5.44 ~product(e_2,e_1,e_1)|sQ26_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f173])).
% 0.13/5.44 fof(f183,plain,(
% 0.13/5.44 product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)),
% 0.13/5.44 inference(resolution,[status(thm)],[f116,f53])).
% 0.13/5.44 fof(f185,plain,(
% 0.13/5.44 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)),
% 0.13/5.44 inference(resolution,[status(thm)],[f116,f51])).
% 0.13/5.44 fof(f186,definition,(
% 0.13/5.44 sQ29_spl <=> (product(e_1,e_3,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f187,plain,(
% 0.13/5.44 product(e_1,e_3,e_1)|~sQ29_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f186])).
% 0.13/5.44 fof(f189,definition,(
% 0.13/5.44 sQ30_spl <=> (product(e_1,e_3,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f190,plain,(
% 0.13/5.44 product(e_1,e_3,e_2)|~sQ30_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f189])).
% 0.13/5.44 fof(f192,definition,(
% 0.13/5.44 sQ31_spl <=> (product(e_1,e_3,e_3))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f193,plain,(
% 0.13/5.44 product(e_1,e_3,e_3)|~sQ31_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f192])).
% 0.13/5.44 fof(f195,plain,(
% 0.13/5.44 sQ29_spl|sQ30_spl|sQ31_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f183,f186,f189,f192])).
% 0.13/5.44 fof(f199,definition,(
% 0.13/5.44 sQ33_spl <=> (product(e_1,e_2,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f200,plain,(
% 0.13/5.44 product(e_1,e_2,e_2)|~sQ33_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f199])).
% 0.13/5.44 fof(f206,definition,(
% 0.13/5.44 sQ35_spl <=> (product(e_1,e_1,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f207,plain,(
% 0.13/5.44 product(e_1,e_1,e_1)|~sQ35_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f206])).
% 0.13/5.44 fof(f209,definition,(
% 0.13/5.44 sQ36_spl <=> (product(e_1,e_1,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f210,plain,(
% 0.13/5.44 product(e_1,e_1,e_2)|~sQ36_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f209])).
% 0.13/5.44 fof(f212,definition,(
% 0.13/5.44 sQ37_spl <=> (product(e_1,e_1,e_3))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f213,plain,(
% 0.13/5.44 product(e_1,e_1,e_3)|~sQ37_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f212])).
% 0.13/5.44 fof(f215,plain,(
% 0.13/5.44 sQ35_spl|sQ36_spl|sQ37_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f185,f206,f209,f212])).
% 0.13/5.44 fof(f223,plain,(
% 0.13/5.44 ![X0,X1,X2,X3]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(e_1,X2)|~greater(e_1,X0)|~greater(X1,X3)|~sQ8_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f105,f47])).
% 0.13/5.44 fof(f228,definition,(
% 0.13/5.44 ![X0,X1]: (sQ38_spl <=> (~cycle(X0,X1)|~greater(e_1,X0)|~greater(X1,e_0)))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f229,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,X1)|~greater(e_1,X0)|~greater(X1,e_0)|~sQ38_spl)),
% 0.13/5.44 inference(component_clause,[status(thm)],[f228])).
% 0.13/5.44 fof(f246,plain,(
% 0.13/5.44 ![X0,X1,X2]: (~cycle(X0,X1)|~next(X0,e_2)|~greater(X1,e_0)|~next(e_0,X2)|equalish(X1,X2)|~sQ5_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f95,f45])).
% 0.13/5.44 fof(f248,definition,(
% 0.13/5.44 ![X0,X1]: (sQ40_spl <=> (~cycle(X0,X1)|~greater(e_2,X0)|~greater(X1,e_0)))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f249,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,X1)|~greater(e_2,X0)|~greater(X1,e_0)|~sQ40_spl)),
% 0.13/5.44 inference(component_clause,[status(thm)],[f248])).
% 0.13/5.44 fof(f261,plain,(
% 0.13/5.44 ![X0]: (~product(e_3,X0,e_1)|product(e_3,X0,e_3)|~sQ19_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f147,f68])).
% 0.13/5.44 fof(f274,plain,(
% 0.13/5.44 ~cycle(e_3,e_0)|~greater(e_2,e_3)|~sQ18_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f144,f48])).
% 0.13/5.44 fof(f275,plain,(
% 0.13/5.44 ![X0]: (~product(e_3,X0,e_1)|product(e_2,X0,e_3)|~sQ18_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f144,f68])).
% 0.13/5.44 fof(f280,definition,(
% 0.13/5.44 sQ46_spl <=> (greater(e_2,e_3))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f283,plain,(
% 0.13/5.44 ~sQ2_spl|~sQ46_spl|~sQ18_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f274,f84,f280,f143])).
% 0.13/5.44 fof(f286,plain,(
% 0.13/5.44 ![X0]: (~product(e_3,X0,e_1)|product(e_1,X0,e_3)|~sQ17_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f141,f68])).
% 0.13/5.44 fof(f291,definition,(
% 0.13/5.44 sQ48_spl <=> (greater(e_1,e_3))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f295,plain,(
% 0.13/5.44 $false|sQ2_spl),
% 0.13/5.44 inference(forward_subsumption_resolution,[status(thm)],[f86,f43])).
% 0.13/5.44 fof(f296,plain,(
% 0.13/5.44 sQ2_spl),
% 0.13/5.44 inference(contradiction_clause,[status(thm)],[f295])).
% 0.13/5.44 fof(f299,plain,(
% 0.13/5.44 ![X0]: (~next(e_2,e_3)|~greater(e_1,e_0)|~next(e_0,X0)|equalish(e_1,X0)|~sQ6_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f70,f98])).
% 0.13/5.44 fof(f300,plain,(
% 0.13/5.44 ![X0]: (~next(e_2,e_3)|~greater(e_2,e_0)|~next(e_0,X0)|equalish(e_2,X0)|~sQ7_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f70,f101])).
% 0.13/5.44 fof(f302,plain,(
% 0.13/5.44 ![X0]: (~next(e_1,e_3)|~greater(e_2,e_0)|~next(e_0,X0)|equalish(e_2,X0)|~sQ10_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f70,f111])).
% 0.13/5.44 fof(f303,plain,(
% 0.13/5.44 ![X0]: (~next(e_3,e_3)|~greater(e_2,e_0)|~next(e_0,X0)|equalish(e_2,X0)|~sQ4_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f70,f91])).
% 0.13/5.44 fof(f305,definition,(
% 0.13/5.44 sQ49_spl <=> (next(e_2,e_3))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f307,plain,(
% 0.13/5.44 ~next(e_2,e_3)|sQ49_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f305])).
% 0.13/5.44 fof(f308,definition,(
% 0.13/5.44 sQ50_spl <=> (greater(e_1,e_0))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f310,plain,(
% 0.13/5.44 ~greater(e_1,e_0)|sQ50_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f308])).
% 0.13/5.44 fof(f311,definition,(
% 0.13/5.44 ![X0]: (sQ51_spl <=> (~next(e_0,X0)|equalish(e_1,X0)))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f314,plain,(
% 0.13/5.44 ~sQ49_spl|~sQ50_spl|sQ51_spl|~sQ6_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f299,f305,f308,f311,f97])).
% 0.13/5.44 fof(f315,definition,(
% 0.13/5.44 sQ52_spl <=> (greater(e_2,e_0))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f317,plain,(
% 0.13/5.44 ~greater(e_2,e_0)|sQ52_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f315])).
% 0.13/5.44 fof(f318,definition,(
% 0.13/5.44 ![X0]: (sQ53_spl <=> (~next(e_0,X0)|equalish(e_2,X0)))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f319,plain,(
% 0.13/5.44 ![X0]: (~next(e_0,X0)|equalish(e_2,X0)|~sQ53_spl)),
% 0.13/5.44 inference(component_clause,[status(thm)],[f318])).
% 0.13/5.44 fof(f321,plain,(
% 0.13/5.44 ~sQ49_spl|~sQ52_spl|sQ53_spl|~sQ7_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f300,f305,f315,f318,f100])).
% 0.13/5.44 fof(f322,definition,(
% 0.13/5.44 sQ54_spl <=> (next(e_1,e_3))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f326,plain,(
% 0.13/5.44 ~sQ54_spl|~sQ52_spl|sQ53_spl|~sQ10_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f302,f322,f315,f318,f110])).
% 0.13/5.44 fof(f327,plain,(
% 0.13/5.44 ~sQ1_spl|~sQ52_spl|sQ53_spl|~sQ4_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f303,f77,f315,f318,f90])).
% 0.13/5.44 fof(f328,definition,(
% 0.13/5.44 sQ55_spl <=> (greater(e_0,e_0))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f331,definition,(
% 0.13/5.44 ![X0]: (sQ56_spl <=> (~next(e_0,X0)|equalish(e_0,X0)))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f335,plain,(
% 0.13/5.44 $false|sQ52_spl),
% 0.13/5.44 inference(forward_subsumption_resolution,[status(thm)],[f317,f35])).
% 0.13/5.44 fof(f336,plain,(
% 0.13/5.44 sQ52_spl),
% 0.13/5.44 inference(contradiction_clause,[status(thm)],[f335])).
% 0.13/5.44 fof(f337,plain,(
% 0.13/5.44 $false|sQ50_spl),
% 0.13/5.44 inference(forward_subsumption_resolution,[status(thm)],[f310,f34])).
% 0.13/5.44 fof(f338,plain,(
% 0.13/5.44 sQ50_spl),
% 0.13/5.44 inference(contradiction_clause,[status(thm)],[f337])).
% 0.13/5.44 fof(f339,plain,(
% 0.13/5.44 $false|sQ49_spl),
% 0.13/5.44 inference(forward_subsumption_resolution,[status(thm)],[f307,f33])).
% 0.13/5.44 fof(f340,plain,(
% 0.13/5.44 sQ49_spl),
% 0.13/5.44 inference(contradiction_clause,[status(thm)],[f339])).
% 0.13/5.44 fof(f342,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,X1)|~next(e_3,e_1)|~greater(e_3,X0)|~greater(X1,e_1)|~sQ9_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f72,f108])).
% 0.13/5.44 fof(f343,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,X1)|~next(e_3,e_1)|~greater(e_3,X0)|~greater(X1,e_2)|~sQ10_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f72,f111])).
% 0.13/5.44 fof(f346,definition,(
% 0.13/5.44 ![X0,X1]: (sQ57_spl <=> (~cycle(X0,X1)|~greater(e_3,X0)|~greater(X1,e_2)))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f349,definition,(
% 0.13/5.44 sQ58_spl <=> (next(e_3,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f353,definition,(
% 0.13/5.44 ![X0,X1]: (sQ59_spl <=> (~cycle(X0,X1)|~greater(e_3,X0)|~greater(X1,e_1)))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f356,definition,(
% 0.13/5.44 sQ60_spl <=> (next(e_3,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f359,plain,(
% 0.13/5.44 sQ59_spl|~sQ60_spl|~sQ9_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f342,f353,f356,f107])).
% 0.13/5.44 fof(f360,plain,(
% 0.13/5.44 sQ57_spl|~sQ60_spl|~sQ10_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f343,f346,f356,f110])).
% 0.13/5.44 fof(f365,plain,(
% 0.13/5.44 ~greater(e_3,e_1)|~greater(e_1,e_0)|~sQ0_spl|~sQ9_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f75,f108])).
% 0.13/5.44 fof(f367,definition,(
% 0.13/5.44 sQ61_spl <=> (greater(e_3,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f369,plain,(
% 0.13/5.44 ~greater(e_3,e_1)|sQ61_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f367])).
% 0.13/5.44 fof(f370,plain,(
% 0.13/5.44 ~sQ61_spl|~sQ50_spl|~sQ0_spl|~sQ9_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f365,f367,f308,f74,f107])).
% 0.13/5.44 fof(f372,plain,(
% 0.13/5.44 $false|sQ61_spl),
% 0.13/5.44 inference(forward_subsumption_resolution,[status(thm)],[f369,f38])).
% 0.13/5.44 fof(f373,plain,(
% 0.13/5.44 sQ61_spl),
% 0.13/5.44 inference(contradiction_clause,[status(thm)],[f372])).
% 0.13/5.44 fof(f375,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,X1)|~next(e_3,e_3)|~greater(e_3,X0)|~greater(X1,e_1)|~sQ3_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f88,f72])).
% 0.13/5.44 fof(f376,plain,(
% 0.13/5.44 ![X0]: (~next(e_3,e_3)|~greater(e_1,e_0)|~next(e_0,X0)|equalish(e_1,X0)|~sQ3_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f88,f70])).
% 0.13/5.44 fof(f380,plain,(
% 0.13/5.44 sQ59_spl|~sQ1_spl|~sQ3_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f375,f353,f77,f87])).
% 0.13/5.44 fof(f381,plain,(
% 0.13/5.44 ~sQ1_spl|~sQ50_spl|sQ51_spl|~sQ3_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f376,f77,f308,f311,f87])).
% 0.13/5.44 fof(f382,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,X1)|~next(e_2,e_3)|~greater(e_2,X0)|~greater(X1,e_0)|~sQ5_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f95,f73])).
% 0.13/5.44 fof(f385,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,X1)|~next(e_3,e_2)|~greater(e_3,X0)|~greater(X1,e_0)|~sQ5_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f95,f72])).
% 0.13/5.44 fof(f386,plain,(
% 0.13/5.44 ![X0]: (~next(e_2,e_3)|~greater(e_0,e_0)|~next(e_0,X0)|equalish(e_0,X0)|~sQ5_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f95,f70])).
% 0.13/5.44 fof(f391,plain,(
% 0.13/5.44 sQ40_spl|~sQ49_spl|~sQ5_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f382,f248,f305,f94])).
% 0.13/5.44 fof(f393,plain,(
% 0.13/5.44 sQ0_spl|~sQ58_spl|~sQ5_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f385,f74,f349,f94])).
% 0.13/5.44 fof(f394,plain,(
% 0.13/5.44 ~sQ49_spl|~sQ55_spl|sQ56_spl|~sQ5_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f386,f305,f328,f331,f94])).
% 0.13/5.44 fof(f413,plain,(
% 0.13/5.44 ![X0]: (~product(e_3,X0,e_2)|product(e_3,X0,e_3)|~sQ16_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f137,f68])).
% 0.13/5.44 fof(f414,plain,(
% 0.13/5.44 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_3)|~sQ16_spl)),
% 0.13/5.44 inference(backward_subsumption_resolution,[status(thm)],[f114,f413])).
% 0.13/5.44 fof(f417,plain,(
% 0.13/5.44 product(e_3,e_1,e_1)|product(e_3,e_1,e_3)|~sQ16_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f414,f51])).
% 0.13/5.44 fof(f420,plain,(
% 0.13/5.44 sQ17_spl|sQ19_spl|~sQ16_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f417,f140,f146,f136])).
% 0.13/5.44 fof(f430,plain,(
% 0.13/5.44 ![X0]: (~product(e_3,X0,e_2)|product(e_2,X0,e_3)|~sQ15_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f134,f68])).
% 0.13/5.44 fof(f431,plain,(
% 0.13/5.44 product(e_2,e_2,e_3)|~sQ15_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f430,f134])).
% 0.13/5.44 fof(f433,plain,(
% 0.13/5.44 ![X0]: (~product(e_2,X0,e_3)|equalish(X0,e_2)|~sQ15_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f431,f64])).
% 0.13/5.44 fof(f434,plain,(
% 0.13/5.44 ![X0]: (~product(e_2,e_2,X0)|equalish(X0,e_3)|~sQ15_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f431,f62])).
% 0.13/5.44 fof(f443,plain,(
% 0.13/5.44 ![X0]: (~product(e_3,X0,e_2)|product(e_1,X0,e_3)|~sQ14_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f131,f68])).
% 0.13/5.44 fof(f474,plain,(
% 0.13/5.44 product(e_2,e_3,e_3)|~sQ11_spl|~sQ18_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f121,f275])).
% 0.13/5.44 fof(f510,plain,(
% 0.13/5.44 ![X0]: (~product(e_2,X0,e_1)|product(e_1,X0,e_2)|~sQ26_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f174,f68])).
% 0.13/5.44 fof(f599,plain,(
% 0.13/5.44 ![X0]: (~product(e_2,X0,e_3)|product(e_3,X0,e_2)|~sQ22_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f160,f68])).
% 0.13/5.44 fof(f603,plain,(
% 0.13/5.44 ~cycle(e_1,e_0)|~greater(e_3,e_1)|~sQ37_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f213,f48])).
% 0.13/5.44 fof(f607,plain,(
% 0.13/5.44 ![X0]: (~product(e_1,X0,e_1)|product(e_3,X0,e_1)|~sQ37_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f213,f68])).
% 0.13/5.44 fof(f608,definition,(
% 0.13/5.44 ![X0]: (sQ67_spl <=> (~cycle(e_1,X0)|~greater(X0,e_0)))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f615,plain,(
% 0.13/5.44 ~sQ8_spl|~sQ61_spl|~sQ37_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f603,f104,f367,f212])).
% 0.13/5.44 fof(f619,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(X0,X1)|~next(e_3,e_1)|~greater(e_3,X0)|~greater(X1,e_0)|~sQ8_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f105,f72])).
% 0.13/5.44 fof(f627,plain,(
% 0.13/5.44 sQ0_spl|~sQ60_spl|~sQ8_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f619,f74,f356,f104])).
% 0.13/5.44 fof(f630,plain,(
% 0.13/5.44 ~greater(e_3,e_1)|~greater(e_0,e_0)|~sQ0_spl|~sQ8_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f75,f105])).
% 0.13/5.44 fof(f633,plain,(
% 0.13/5.44 ~sQ61_spl|~sQ55_spl|~sQ0_spl|~sQ8_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f630,f367,f328,f74,f104])).
% 0.13/5.44 fof(f634,definition,(
% 0.13/5.44 sQ69_spl <=> (greater(e_3,e_2))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f636,plain,(
% 0.13/5.44 ~greater(e_3,e_2)|sQ69_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f634])).
% 0.13/5.44 fof(f639,plain,(
% 0.13/5.44 $false|sQ69_spl),
% 0.13/5.44 inference(forward_subsumption_resolution,[status(thm)],[f636,f39])).
% 0.13/5.44 fof(f640,plain,(
% 0.13/5.44 sQ69_spl),
% 0.13/5.44 inference(contradiction_clause,[status(thm)],[f639])).
% 0.13/5.44 fof(f658,plain,(
% 0.13/5.44 ~cycle(e_1,e_0)|~greater(e_2,e_1)|~sQ36_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f210,f48])).
% 0.13/5.44 fof(f665,plain,(
% 0.13/5.44 ![X0,X1]: (~cycle(e_1,X0)|~greater(X0,e_0)|~next(e_1,X1)|equalish(e_1,X1)|~sQ35_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f207,f50])).
% 0.13/5.44 fof(f666,plain,(
% 0.13/5.44 ~cycle(e_1,e_0)|~greater(e_1,e_1)|~sQ35_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f207,f48])).
% 0.13/5.44 fof(f671,definition,(
% 0.13/5.44 ![X1]: (sQ70_spl <=> (~next(e_1,X1)|equalish(e_1,X1)))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f674,plain,(
% 0.13/5.44 sQ67_spl|sQ70_spl|~sQ35_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f665,f608,f671,f206])).
% 0.13/5.44 fof(f675,definition,(
% 0.13/5.44 sQ71_spl <=> (greater(e_1,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f678,plain,(
% 0.13/5.44 ~sQ8_spl|~sQ71_spl|~sQ35_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f666,f104,f675,f206])).
% 0.13/5.44 fof(f694,plain,(
% 0.13/5.44 ![X0]: (~product(e_1,X0,e_2)|product(e_2,X0,e_1)|~sQ33_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f200,f68])).
% 0.13/5.44 fof(f717,plain,(
% 0.13/5.44 ![X0]: (~product(e_1,X0,e_3)|product(e_3,X0,e_1)|~sQ31_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f193,f68])).
% 0.13/5.44 fof(f718,plain,(
% 0.13/5.44 product(e_3,e_3,e_1)|~sQ31_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f717,f193])).
% 0.13/5.44 fof(f721,plain,(
% 0.13/5.44 ![X0]: (~product(e_3,X0,e_1)|equalish(X0,e_3)|~sQ31_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f718,f64])).
% 0.13/5.44 fof(f722,plain,(
% 0.13/5.44 ![X0]: (~product(e_3,e_3,X0)|equalish(X0,e_1)|~sQ31_spl)),
% 0.13/5.44 inference(resolution,[status(thm)],[f718,f62])).
% 0.13/5.44 fof(f728,plain,(
% 0.13/5.44 ~greater(e_1,e_1)|~greater(e_1,e_0)|~sQ38_spl|~sQ9_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f229,f108])).
% 0.13/5.44 fof(f729,plain,(
% 0.13/5.44 ~greater(e_1,e_3)|~greater(e_0,e_0)|~sQ38_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f229,f43])).
% 0.13/5.44 fof(f731,plain,(
% 0.13/5.44 ~sQ71_spl|~sQ50_spl|~sQ38_spl|~sQ9_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f728,f675,f308,f228,f107])).
% 0.13/5.44 fof(f732,plain,(
% 0.13/5.44 ~sQ48_spl|~sQ55_spl|~sQ38_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f729,f291,f328,f228])).
% 0.13/5.44 fof(f734,plain,(
% 0.13/5.44 ~greater(e_2,e_1)|~greater(e_1,e_0)|~sQ40_spl|~sQ9_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f249,f108])).
% 0.13/5.44 fof(f735,plain,(
% 0.13/5.44 ~greater(e_2,e_3)|~greater(e_0,e_0)|~sQ40_spl),
% 0.13/5.44 inference(resolution,[status(thm)],[f249,f43])).
% 0.13/5.44 fof(f737,definition,(
% 0.13/5.44 sQ72_spl <=> (greater(e_2,e_1))),
% 0.13/5.44 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.13/5.44 fof(f739,plain,(
% 0.13/5.44 ~greater(e_2,e_1)|sQ72_spl),
% 0.13/5.44 inference(component_clause,[status(thm)],[f737])).
% 0.13/5.44 fof(f740,plain,(
% 0.13/5.44 ~sQ72_spl|~sQ50_spl|~sQ40_spl|~sQ9_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f734,f737,f308,f248,f107])).
% 0.13/5.44 fof(f741,plain,(
% 0.13/5.44 ~sQ46_spl|~sQ55_spl|~sQ40_spl),
% 0.13/5.44 inference(split_clause,[status(thm)],[f735,f280,f328,f248])).
% 0.13/5.45 fof(f742,plain,(
% 0.13/5.45 $false|sQ72_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f739,f37])).
% 0.13/5.45 fof(f743,plain,(
% 0.13/5.45 sQ72_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f742])).
% 0.13/5.45 fof(f768,plain,(
% 0.13/5.45 product(e_3,e_3,e_2)|~sQ11_spl|~sQ18_spl|~sQ22_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f474,f599])).
% 0.13/5.45 fof(f778,plain,(
% 0.13/5.45 equalish(e_2,e_1)|~sQ11_spl|~sQ18_spl|~sQ22_spl|~sQ31_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f768,f722])).
% 0.13/5.45 fof(f784,plain,(
% 0.13/5.45 $false|~sQ11_spl|~sQ18_spl|~sQ22_spl|~sQ31_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f778,f56])).
% 0.13/5.45 fof(f785,plain,(
% 0.13/5.45 ~sQ11_spl|~sQ18_spl|~sQ22_spl|~sQ31_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f784])).
% 0.13/5.45 fof(f790,plain,(
% 0.13/5.45 ![X0]: (~product(e_2,X0,e_3)|product(e_2,X0,e_2)|~sQ21_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f157,f68])).
% 0.13/5.45 fof(f794,plain,(
% 0.13/5.45 ![X0]: (~product(e_1,X0,e_3)|product(e_2,X0,e_1)|~sQ30_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f190,f68])).
% 0.13/5.45 fof(f798,plain,(
% 0.13/5.45 ![X0]: (~product(e_1,X0,e_3)|product(e_1,X0,e_1)|~sQ29_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f187,f68])).
% 0.13/5.45 fof(f802,plain,(
% 0.13/5.45 ![X0]: (~product(e_2,X0,e_3)|product(e_1,X0,e_2)|~sQ20_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f154,f68])).
% 0.13/5.45 fof(f807,plain,(
% 0.13/5.45 equalish(e_2,e_1)|~sQ53_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f319,f31])).
% 0.13/5.45 fof(f808,plain,(
% 0.13/5.45 $false|~sQ53_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f807,f56])).
% 0.13/5.45 fof(f809,plain,(
% 0.13/5.45 ~sQ53_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f808])).
% 0.13/5.45 fof(f913,plain,(
% 0.13/5.45 equalish(e_1,e_3)|~sQ17_spl|~sQ31_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f141,f721])).
% 0.13/5.45 fof(f914,plain,(
% 0.13/5.45 product(e_1,e_1,e_3)|~sQ17_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f141,f286])).
% 0.13/5.45 fof(f921,plain,(
% 0.13/5.45 $false|~sQ17_spl|~sQ31_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f913,f55])).
% 0.13/5.45 fof(f922,plain,(
% 0.13/5.45 ~sQ17_spl|~sQ31_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f921])).
% 0.13/5.45 fof(f923,plain,(
% 0.13/5.45 sQ37_spl|~sQ17_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f914,f212,f140])).
% 0.13/5.45 fof(f926,plain,(
% 0.13/5.45 sQ22_spl|~sQ11_spl|~sQ18_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f474,f159,f120,f143])).
% 0.13/5.45 fof(f994,plain,(
% 0.13/5.45 ![X0]: (~group_element(X0)|product(e_3,X0,e_3)|~sQ19_spl|~sQ16_spl)),
% 0.13/5.45 inference(backward_subsumption_resolution,[status(thm)],[f414,f261])).
% 0.13/5.45 fof(f996,plain,(
% 0.13/5.45 product(e_3,e_2,e_3)|~sQ19_spl|~sQ16_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f994,f52])).
% 0.13/5.45 fof(f997,plain,(
% 0.13/5.45 product(e_3,e_1,e_3)|~sQ19_spl|~sQ16_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f994,f51])).
% 0.13/5.45 fof(f1000,plain,(
% 0.13/5.45 ![X0]: (~product(e_3,X0,e_3)|equalish(X0,e_2)|~sQ19_spl|~sQ16_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f996,f64])).
% 0.13/5.45 fof(f1017,plain,(
% 0.13/5.45 sQ11_spl|~sQ31_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f718,f120,f192])).
% 0.13/5.45 fof(f1020,plain,(
% 0.13/5.45 equalish(e_1,e_2)|~sQ19_spl|~sQ16_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f1000,f997])).
% 0.13/5.45 fof(f1022,plain,(
% 0.13/5.45 $false|~sQ19_spl|~sQ16_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f1020,f54])).
% 0.13/5.45 fof(f1023,plain,(
% 0.13/5.45 ~sQ19_spl|~sQ16_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f1022])).
% 0.13/5.45 fof(f1025,plain,(
% 0.13/5.45 ![X0,X1]: (~cycle(X0,X1)|~next(e_1,e_2)|~greater(e_1,X0)|~greater(X1,e_0)|~sQ8_spl|~sQ5_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f223,f95])).
% 0.13/5.45 fof(f1028,definition,(
% 0.13/5.45 sQ73_spl <=> (next(e_1,e_2))),
% 0.13/5.45 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.13/5.45 fof(f1030,plain,(
% 0.13/5.45 ~next(e_1,e_2)|sQ73_spl),
% 0.13/5.45 inference(component_clause,[status(thm)],[f1028])).
% 0.13/5.45 fof(f1031,plain,(
% 0.13/5.45 sQ38_spl|~sQ73_spl|~sQ8_spl|~sQ5_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f1025,f228,f1028,f104,f94])).
% 0.13/5.45 fof(f1034,plain,(
% 0.13/5.45 $false|sQ73_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f1030,f32])).
% 0.13/5.45 fof(f1035,plain,(
% 0.13/5.45 sQ73_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f1034])).
% 0.13/5.45 fof(f1119,plain,(
% 0.13/5.45 product(e_1,e_2,e_2)|~sQ20_spl|~sQ15_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f802,f431])).
% 0.13/5.45 fof(f1125,plain,(
% 0.13/5.45 product(e_2,e_2,e_1)|~sQ33_spl|~sQ20_spl|~sQ15_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f694,f1119])).
% 0.13/5.45 fof(f1128,plain,(
% 0.13/5.45 equalish(e_1,e_3)|~sQ33_spl|~sQ20_spl|~sQ15_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f1125,f434])).
% 0.13/5.45 fof(f1134,plain,(
% 0.13/5.45 $false|~sQ33_spl|~sQ20_spl|~sQ15_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f1128,f55])).
% 0.13/5.45 fof(f1135,plain,(
% 0.13/5.45 ~sQ33_spl|~sQ20_spl|~sQ15_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f1134])).
% 0.13/5.45 fof(f1142,plain,(
% 0.13/5.45 product(e_2,e_2,e_2)|~sQ21_spl|~sQ15_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f790,f431])).
% 0.13/5.45 fof(f1143,plain,(
% 0.13/5.45 equalish(e_2,e_3)|~sQ21_spl|~sQ15_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f1142,f434])).
% 0.13/5.45 fof(f1149,plain,(
% 0.13/5.45 $false|~sQ21_spl|~sQ15_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f1143,f57])).
% 0.13/5.45 fof(f1150,plain,(
% 0.13/5.45 ~sQ21_spl|~sQ15_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f1149])).
% 0.13/5.45 fof(f1151,plain,(
% 0.13/5.45 sQ33_spl|~sQ20_spl|~sQ15_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f1119,f199,f153,f133])).
% 0.13/5.45 fof(f1189,plain,(
% 0.13/5.45 product(e_1,e_1,e_3)|~sQ14_spl|~sQ18_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f443,f144])).
% 0.13/5.45 fof(f1190,plain,(
% 0.13/5.45 sQ37_spl|~sQ14_spl|~sQ18_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f1189,f212,f130,f143])).
% 0.13/5.45 fof(f1197,plain,(
% 0.13/5.45 ![X0]: (~group_element(X0)|product(e_3,X0,e_2)|product(e_3,X0,e_3)|~sQ19_spl)),
% 0.13/5.45 inference(backward_subsumption_resolution,[status(thm)],[f114,f261])).
% 0.13/5.45 fof(f1199,plain,(
% 0.13/5.45 product(e_3,e_2,e_2)|product(e_3,e_2,e_3)|~sQ19_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f1197,f52])).
% 0.13/5.45 fof(f1202,plain,(
% 0.13/5.45 sQ15_spl|sQ16_spl|~sQ19_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f1199,f133,f136,f146])).
% 0.13/5.45 fof(f1250,plain,(
% 0.13/5.45 product(e_3,e_3,e_3)|~sQ11_spl|~sQ19_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f121,f261])).
% 0.13/5.45 fof(f1256,plain,(
% 0.13/5.45 equalish(e_3,e_1)|~sQ11_spl|~sQ19_spl|~sQ31_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f1250,f722])).
% 0.13/5.45 fof(f1262,plain,(
% 0.13/5.45 $false|~sQ11_spl|~sQ19_spl|~sQ31_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f1256,f58])).
% 0.13/5.45 fof(f1263,plain,(
% 0.13/5.45 ~sQ11_spl|~sQ19_spl|~sQ31_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f1262])).
% 0.13/5.45 fof(f1297,plain,(
% 0.13/5.45 equalish(e_3,e_2)|~sQ22_spl|~sQ15_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f160,f433])).
% 0.13/5.45 fof(f1303,plain,(
% 0.13/5.45 $false|~sQ22_spl|~sQ15_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f1297,f59])).
% 0.13/5.45 fof(f1304,plain,(
% 0.13/5.45 ~sQ22_spl|~sQ15_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f1303])).
% 0.13/5.45 fof(f1342,plain,(
% 0.13/5.45 ~sQ8_spl|~sQ72_spl|~sQ36_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f658,f104,f737,f209])).
% 0.13/5.45 fof(f1379,plain,(
% 0.13/5.45 ![X0]: (~next(e_1,e_2)|~greater(e_2,e_0)|~next(e_0,X0)|equalish(e_2,X0)|~sQ10_spl|~sQ5_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f111,f246])).
% 0.13/5.45 fof(f1386,plain,(
% 0.13/5.45 ~sQ73_spl|~sQ52_spl|sQ53_spl|~sQ10_spl|~sQ5_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f1379,f1028,f315,f318,f110,f94])).
% 0.13/5.45 fof(f1393,plain,(
% 0.13/5.45 ![X0,X1]: (~cycle(X0,X1)|~next(e_3,e_2)|~greater(e_3,X0)|~greater(X1,e_1)|~sQ6_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f98,f72])).
% 0.13/5.45 fof(f1398,plain,(
% 0.13/5.45 sQ59_spl|~sQ58_spl|~sQ6_spl),
% 0.13/5.45 inference(split_clause,[status(thm)],[f1393,f353,f349,f97])).
% 0.13/5.45 fof(f1488,plain,(
% 0.13/5.45 product(e_2,e_1,e_1)|~sQ37_spl|~sQ30_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f213,f794])).
% 0.13/5.45 fof(f1534,plain,(
% 0.13/5.45 product(e_1,e_1,e_1)|~sQ29_spl|~sQ37_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f798,f213])).
% 0.13/5.45 fof(f1535,plain,(
% 0.13/5.45 product(e_3,e_1,e_1)|~sQ29_spl|~sQ37_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f1534,f607])).
% 0.13/5.45 fof(f1538,plain,(
% 0.13/5.45 ![X0]: (~product(X0,e_1,e_1)|equalish(X0,e_1)|~sQ29_spl|~sQ37_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f1534,f66])).
% 0.13/5.45 fof(f1553,plain,(
% 0.13/5.45 equalish(e_3,e_1)|~sQ29_spl|~sQ37_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f1538,f1535])).
% 0.13/5.45 fof(f1555,plain,(
% 0.13/5.45 $false|~sQ29_spl|~sQ37_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f1553,f58])).
% 0.13/5.45 fof(f1556,plain,(
% 0.13/5.45 ~sQ29_spl|~sQ37_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f1555])).
% 0.13/5.45 fof(f1563,plain,(
% 0.13/5.45 product(e_1,e_1,e_2)|~sQ37_spl|~sQ30_spl|~sQ26_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f1488,f510])).
% 0.13/5.45 fof(f1577,plain,(
% 0.13/5.45 ![X0]: (~product(e_1,e_1,X0)|equalish(X0,e_2)|~sQ37_spl|~sQ30_spl|~sQ26_spl)),
% 0.13/5.45 inference(resolution,[status(thm)],[f1563,f62])).
% 0.13/5.45 fof(f1581,plain,(
% 0.13/5.45 $false|~sQ37_spl|~sQ30_spl|sQ26_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f175,f1488])).
% 0.13/5.45 fof(f1582,plain,(
% 0.13/5.45 ~sQ37_spl|~sQ30_spl|sQ26_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f1581])).
% 0.13/5.45 fof(f1606,plain,(
% 0.13/5.45 equalish(e_3,e_2)|~sQ30_spl|~sQ26_spl|~sQ37_spl),
% 0.13/5.45 inference(resolution,[status(thm)],[f1577,f213])).
% 0.13/5.45 fof(f1607,plain,(
% 0.13/5.45 $false|~sQ30_spl|~sQ26_spl|~sQ37_spl),
% 0.13/5.45 inference(forward_subsumption_resolution,[status(thm)],[f1606,f59])).
% 0.13/5.45 fof(f1608,plain,(
% 0.13/5.45 ~sQ30_spl|~sQ26_spl|~sQ37_spl),
% 0.13/5.45 inference(contradiction_clause,[status(thm)],[f1607])).
% 0.13/5.45 fof(f1609,plain,(
% 0.13/5.45 $false),
% 0.13/5.45 inference(sat_refutation,[status(thm)],[f80,f103,f113,f139,f149,f162,f195,f215,f283,f296,f314,f321,f326,f327,f336,f338,f340,f359,f360,f370,f373,f380,f381,f391,f393,f394,f420,f615,f627,f633,f640,f674,f678,f731,f732,f740,f741,f743,f785,f809,f922,f923,f926,f1017,f1023,f1031,f1035,f1135,f1150,f1151,f1190,f1202,f1263,f1304,f1342,f1386,f1398,f1556,f1582,f1608])).
% 0.13/5.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.47 % Elapsed time: 0.090401 seconds
% 0.13/5.47 % CPU time: 0.462439 seconds
% 0.13/5.47 % Total memory used: 19.741 MB
% 0.13/5.47 % Net memory used: 19.442 MB
%------------------------------------------------------------------------------