%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP126-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:35:52 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP126-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n009.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:00:28 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.40 % Refutation found
% 0.07/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.40 fof(f1,axiom,(
% 0.07/0.40 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(e_1,X,Y)| product(e_2,X,Y)| product(e_3,X,Y)| product(e_4,X,Y) ) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f2,axiom,(
% 0.07/0.40 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,e_1,Y)| product(X,e_2,Y)| product(X,e_3,Y)| product(X,e_4,Y) ) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f3,negated_conjecture,(
% 0.07/0.40 (![X,Y,Z1,Z2]: (( product(X,Y,Z1)| ~ product(Z1,Z2,Y)| ~ product(Y,X,Z2) ) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f5,axiom,(
% 0.07/0.40 group_element(e_1) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f6,axiom,(
% 0.07/0.40 group_element(e_2) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f7,axiom,(
% 0.07/0.40 group_element(e_3) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f8,axiom,(
% 0.07/0.40 group_element(e_4) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f9,axiom,(
% 0.07/0.40 ~ equalish(e_1,e_2) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f10,axiom,(
% 0.07/0.40 ~ equalish(e_1,e_3) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f12,axiom,(
% 0.07/0.40 ~ equalish(e_2,e_1) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f13,axiom,(
% 0.07/0.40 ~ equalish(e_2,e_3) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f15,axiom,(
% 0.07/0.40 ~ equalish(e_3,e_1) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f16,axiom,(
% 0.07/0.40 ~ equalish(e_3,e_2) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f17,axiom,(
% 0.07/0.40 ~ equalish(e_3,e_4) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f18,axiom,(
% 0.07/0.40 ~ equalish(e_4,e_1) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f19,axiom,(
% 0.07/0.40 ~ equalish(e_4,e_2) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f20,axiom,(
% 0.07/0.40 ~ equalish(e_4,e_3) ),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f21,axiom,(
% 0.07/0.40 (![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) ) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f22,axiom,(
% 0.07/0.40 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f23,axiom,(
% 0.07/0.40 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f24,axiom,(
% 0.07/0.40 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f25,axiom,(
% 0.07/0.40 (![X]: (product(X,X,X) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f26,negated_conjecture,(
% 0.07/0.40 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(Y,X,Z2)| product(Z1,Z2,Y) ) ))),
% 0.07/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.40 fof(f27,plain,(
% 0.07/0.40 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(e_1,X0,X1)|product(e_2,X0,X1)|product(e_3,X0,X1)|product(e_4,X0,X1))),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.07/0.40 fof(f28,plain,(
% 0.07/0.40 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,e_1,X1)|product(X0,e_2,X1)|product(X0,e_3,X1)|product(X0,e_4,X1))),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/0.40 fof(f29,plain,(
% 0.07/0.40 ![X,Y,Z2]: ((![Z1]: (product(X,Y,Z1)|~product(Z1,Z2,Y)))|~product(Y,X,Z2))),
% 0.07/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.07/0.40 fof(f30,plain,(
% 0.07/0.40 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X2,X3,X1)|~product(X1,X0,X3))),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.07/0.40 fof(f33,plain,(
% 0.07/0.40 group_element(e_1)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/0.40 fof(f34,plain,(
% 0.07/0.40 group_element(e_2)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.07/0.40 fof(f35,plain,(
% 0.07/0.40 group_element(e_3)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.07/0.40 fof(f36,plain,(
% 0.07/0.40 group_element(e_4)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.07/0.40 fof(f37,plain,(
% 0.07/0.40 ~equalish(e_1,e_2)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.07/0.40 fof(f38,plain,(
% 0.07/0.40 ~equalish(e_1,e_3)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.07/0.40 fof(f40,plain,(
% 0.07/0.40 ~equalish(e_2,e_1)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.07/0.40 fof(f41,plain,(
% 0.07/0.40 ~equalish(e_2,e_3)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.07/0.40 fof(f43,plain,(
% 0.07/0.40 ~equalish(e_3,e_1)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.07/0.40 fof(f44,plain,(
% 0.07/0.40 ~equalish(e_3,e_2)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.07/0.40 fof(f45,plain,(
% 0.07/0.40 ~equalish(e_3,e_4)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.07/0.40 fof(f46,plain,(
% 0.07/0.40 ~equalish(e_4,e_1)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.07/0.40 fof(f47,plain,(
% 0.07/0.40 ~equalish(e_4,e_2)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.07/0.40 fof(f48,plain,(
% 0.07/0.40 ~equalish(e_4,e_3)),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.07/0.40 fof(f49,plain,(
% 0.07/0.40 ![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))),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.07/0.40 fof(f50,plain,(
% 0.07/0.40 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.07/0.40 inference(miniscoping,[status(thm)],[f22])).
% 0.07/0.40 fof(f51,plain,(
% 0.07/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.07/0.40 fof(f52,plain,(
% 0.07/0.40 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.07/0.40 inference(miniscoping,[status(thm)],[f23])).
% 0.07/0.40 fof(f53,plain,(
% 0.07/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f52])).
% 0.07/0.40 fof(f54,plain,(
% 0.07/0.40 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.07/0.40 inference(miniscoping,[status(thm)],[f24])).
% 0.07/0.40 fof(f55,plain,(
% 0.07/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f54])).
% 0.07/0.40 fof(f56,plain,(
% 0.07/0.40 ![X0]: (product(X0,X0,X0))),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.07/0.40 fof(f57,plain,(
% 0.07/0.40 ![Y,Z1,Z2]: ((![X]: (~product(X,Y,Z1)|~product(Y,X,Z2)))|product(Z1,Z2,Y))),
% 0.07/0.40 inference(miniscoping,[status(thm)],[f26])).
% 0.07/0.40 fof(f58,plain,(
% 0.07/0.40 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X1,X0,X3)|product(X2,X3,X1))),
% 0.07/0.40 inference(cnf_transformation,[status(thm)],[f57])).
% 0.07/0.40 fof(f66,plain,(
% 0.07/0.40 ![X0]: (~group_element(X0)|product(e_1,e_3,X0)|product(e_2,e_3,X0)|product(e_3,e_3,X0)|product(e_4,e_3,X0))),
% 0.07/0.40 inference(resolution,[status(thm)],[f27,f35])).
% 0.07/0.40 fof(f67,plain,(
% 0.07/0.40 ![X0]: (~group_element(X0)|product(e_1,e_2,X0)|product(e_2,e_2,X0)|product(e_3,e_2,X0)|product(e_4,e_2,X0))),
% 0.07/0.40 inference(resolution,[status(thm)],[f27,f34])).
% 0.07/0.40 fof(f68,plain,(
% 0.07/0.40 ![X0]: (~group_element(X0)|product(e_1,e_1,X0)|product(e_2,e_1,X0)|product(e_3,e_1,X0)|product(e_4,e_1,X0))),
% 0.07/0.40 inference(resolution,[status(thm)],[f27,f33])).
% 0.07/0.40 fof(f70,plain,(
% 0.07/0.40 ![X0]: (~group_element(X0)|product(e_3,e_1,X0)|product(e_3,e_2,X0)|product(e_3,e_3,X0)|product(e_3,e_4,X0))),
% 0.07/0.40 inference(resolution,[status(thm)],[f28,f35])).
% 0.07/0.40 fof(f74,plain,(
% 0.07/0.40 ![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))),
% 0.07/0.40 inference(resolution,[status(thm)],[f49,f35])).
% 0.07/0.40 fof(f87,definition,(
% 0.07/0.40 sQ2_spl <=> (product(e_3,e_4,e_4))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f88,plain,(
% 0.07/0.40 product(e_3,e_4,e_4)|~sQ2_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f87])).
% 0.07/0.40 fof(f100,definition,(
% 0.07/0.40 sQ6_spl <=> (product(e_3,e_4,e_3))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f101,plain,(
% 0.07/0.40 product(e_3,e_4,e_3)|~sQ6_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f100])).
% 0.07/0.40 fof(f110,definition,(
% 0.07/0.40 sQ9_spl <=> (product(e_2,e_4,e_2))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f111,plain,(
% 0.07/0.40 product(e_2,e_4,e_2)|~sQ9_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f110])).
% 0.07/0.40 fof(f113,definition,(
% 0.07/0.40 sQ10_spl <=> (product(e_3,e_4,e_2))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f114,plain,(
% 0.07/0.40 product(e_3,e_4,e_2)|~sQ10_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f113])).
% 0.07/0.40 fof(f126,definition,(
% 0.07/0.40 sQ14_spl <=> (product(e_3,e_4,e_1))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f127,plain,(
% 0.07/0.40 product(e_3,e_4,e_1)|~sQ14_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f126])).
% 0.07/0.40 fof(f135,plain,(
% 0.07/0.40 product(e_1,e_3,e_2)|product(e_2,e_3,e_2)|product(e_3,e_3,e_2)|product(e_4,e_3,e_2)),
% 0.07/0.40 inference(resolution,[status(thm)],[f66,f34])).
% 0.07/0.40 fof(f136,plain,(
% 0.07/0.40 product(e_1,e_3,e_1)|product(e_2,e_3,e_1)|product(e_3,e_3,e_1)|product(e_4,e_3,e_1)),
% 0.07/0.40 inference(resolution,[status(thm)],[f66,f33])).
% 0.07/0.40 fof(f153,definition,(
% 0.07/0.40 sQ21_spl <=> (product(e_2,e_3,e_3))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f154,plain,(
% 0.07/0.40 product(e_2,e_3,e_3)|~sQ21_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f153])).
% 0.07/0.40 fof(f156,definition,(
% 0.07/0.40 sQ22_spl <=> (product(e_3,e_3,e_3))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f159,definition,(
% 0.07/0.40 sQ23_spl <=> (product(e_4,e_3,e_3))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f160,plain,(
% 0.07/0.40 product(e_4,e_3,e_3)|~sQ23_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f159])).
% 0.07/0.40 fof(f163,definition,(
% 0.07/0.40 sQ24_spl <=> (product(e_1,e_3,e_2))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f164,plain,(
% 0.07/0.40 product(e_1,e_3,e_2)|~sQ24_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f163])).
% 0.07/0.40 fof(f166,definition,(
% 0.07/0.40 sQ25_spl <=> (product(e_2,e_3,e_2))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f167,plain,(
% 0.07/0.40 product(e_2,e_3,e_2)|~sQ25_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f166])).
% 0.07/0.40 fof(f169,definition,(
% 0.07/0.40 sQ26_spl <=> (product(e_3,e_3,e_2))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f170,plain,(
% 0.07/0.40 product(e_3,e_3,e_2)|~sQ26_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f169])).
% 0.07/0.40 fof(f172,definition,(
% 0.07/0.40 sQ27_spl <=> (product(e_4,e_3,e_2))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f173,plain,(
% 0.07/0.40 product(e_4,e_3,e_2)|~sQ27_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f172])).
% 0.07/0.40 fof(f175,plain,(
% 0.07/0.40 sQ24_spl|sQ25_spl|sQ26_spl|sQ27_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f135,f163,f166,f169,f172])).
% 0.07/0.40 fof(f176,definition,(
% 0.07/0.40 sQ28_spl <=> (product(e_1,e_3,e_1))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f177,plain,(
% 0.07/0.40 product(e_1,e_3,e_1)|~sQ28_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f176])).
% 0.07/0.40 fof(f179,definition,(
% 0.07/0.40 sQ29_spl <=> (product(e_2,e_3,e_1))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f180,plain,(
% 0.07/0.40 product(e_2,e_3,e_1)|~sQ29_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f179])).
% 0.07/0.40 fof(f182,definition,(
% 0.07/0.40 sQ30_spl <=> (product(e_3,e_3,e_1))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f183,plain,(
% 0.07/0.40 product(e_3,e_3,e_1)|~sQ30_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f182])).
% 0.07/0.40 fof(f185,definition,(
% 0.07/0.40 sQ31_spl <=> (product(e_4,e_3,e_1))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f186,plain,(
% 0.07/0.40 product(e_4,e_3,e_1)|~sQ31_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f185])).
% 0.07/0.40 fof(f188,plain,(
% 0.07/0.40 sQ28_spl|sQ29_spl|sQ30_spl|sQ31_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f136,f176,f179,f182,f185])).
% 0.07/0.40 fof(f191,plain,(
% 0.07/0.40 product(e_1,e_2,e_2)|product(e_2,e_2,e_2)|product(e_3,e_2,e_2)|product(e_4,e_2,e_2)),
% 0.07/0.40 inference(resolution,[status(thm)],[f67,f34])).
% 0.07/0.40 fof(f192,plain,(
% 0.07/0.40 product(e_1,e_2,e_1)|product(e_2,e_2,e_1)|product(e_3,e_2,e_1)|product(e_4,e_2,e_1)),
% 0.07/0.40 inference(resolution,[status(thm)],[f67,f33])).
% 0.07/0.40 fof(f212,definition,(
% 0.07/0.40 sQ38_spl <=> (product(e_3,e_2,e_3))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f213,plain,(
% 0.07/0.40 product(e_3,e_2,e_3)|~sQ38_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f212])).
% 0.07/0.40 fof(f219,definition,(
% 0.07/0.40 sQ40_spl <=> (product(e_1,e_2,e_2))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f220,plain,(
% 0.07/0.40 product(e_1,e_2,e_2)|~sQ40_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f219])).
% 0.07/0.40 fof(f222,definition,(
% 0.07/0.40 sQ41_spl <=> (product(e_2,e_2,e_2))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f225,definition,(
% 0.07/0.40 sQ42_spl <=> (product(e_3,e_2,e_2))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f226,plain,(
% 0.07/0.40 product(e_3,e_2,e_2)|~sQ42_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f225])).
% 0.07/0.40 fof(f228,definition,(
% 0.07/0.40 sQ43_spl <=> (product(e_4,e_2,e_2))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f229,plain,(
% 0.07/0.40 product(e_4,e_2,e_2)|~sQ43_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f228])).
% 0.07/0.40 fof(f231,plain,(
% 0.07/0.40 sQ40_spl|sQ41_spl|sQ42_spl|sQ43_spl),
% 0.07/0.40 inference(split_clause,[status(thm)],[f191,f219,f222,f225,f228])).
% 0.07/0.40 fof(f232,definition,(
% 0.07/0.40 sQ44_spl <=> (product(e_1,e_2,e_1))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f233,plain,(
% 0.07/0.40 product(e_1,e_2,e_1)|~sQ44_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f232])).
% 0.07/0.40 fof(f235,definition,(
% 0.07/0.40 sQ45_spl <=> (product(e_2,e_2,e_1))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f236,plain,(
% 0.07/0.40 product(e_2,e_2,e_1)|~sQ45_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f235])).
% 0.07/0.40 fof(f238,definition,(
% 0.07/0.40 sQ46_spl <=> (product(e_3,e_2,e_1))),
% 0.07/0.40 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.07/0.40 fof(f239,plain,(
% 0.07/0.40 product(e_3,e_2,e_1)|~sQ46_spl),
% 0.07/0.40 inference(component_clause,[status(thm)],[f238])).
% 0.11/0.40 fof(f241,definition,(
% 0.11/0.40 sQ47_spl <=> (product(e_4,e_2,e_1))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f242,plain,(
% 0.11/0.40 product(e_4,e_2,e_1)|~sQ47_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f241])).
% 0.11/0.40 fof(f244,plain,(
% 0.11/0.40 sQ44_spl|sQ45_spl|sQ46_spl|sQ47_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f192,f232,f235,f238,f241])).
% 0.11/0.40 fof(f247,plain,(
% 0.11/0.40 product(e_1,e_1,e_2)|product(e_2,e_1,e_2)|product(e_3,e_1,e_2)|product(e_4,e_1,e_2)),
% 0.11/0.40 inference(resolution,[status(thm)],[f68,f34])).
% 0.11/0.40 fof(f248,plain,(
% 0.11/0.40 product(e_1,e_1,e_1)|product(e_2,e_1,e_1)|product(e_3,e_1,e_1)|product(e_4,e_1,e_1)),
% 0.11/0.40 inference(resolution,[status(thm)],[f68,f33])).
% 0.11/0.40 fof(f268,definition,(
% 0.11/0.40 sQ54_spl <=> (product(e_3,e_1,e_3))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f269,plain,(
% 0.11/0.40 product(e_3,e_1,e_3)|~sQ54_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f268])).
% 0.11/0.40 fof(f275,definition,(
% 0.11/0.40 sQ56_spl <=> (product(e_1,e_1,e_2))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f276,plain,(
% 0.11/0.40 product(e_1,e_1,e_2)|~sQ56_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f275])).
% 0.11/0.40 fof(f278,definition,(
% 0.11/0.40 sQ57_spl <=> (product(e_2,e_1,e_2))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f279,plain,(
% 0.11/0.40 product(e_2,e_1,e_2)|~sQ57_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f278])).
% 0.11/0.40 fof(f281,definition,(
% 0.11/0.40 sQ58_spl <=> (product(e_3,e_1,e_2))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f282,plain,(
% 0.11/0.40 product(e_3,e_1,e_2)|~sQ58_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f281])).
% 0.11/0.40 fof(f284,definition,(
% 0.11/0.40 sQ59_spl <=> (product(e_4,e_1,e_2))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f285,plain,(
% 0.11/0.40 product(e_4,e_1,e_2)|~sQ59_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f284])).
% 0.11/0.40 fof(f287,plain,(
% 0.11/0.40 sQ56_spl|sQ57_spl|sQ58_spl|sQ59_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f247,f275,f278,f281,f284])).
% 0.11/0.40 fof(f288,definition,(
% 0.11/0.40 sQ60_spl <=> (product(e_1,e_1,e_1))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f291,definition,(
% 0.11/0.40 sQ61_spl <=> (product(e_2,e_1,e_1))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f292,plain,(
% 0.11/0.40 product(e_2,e_1,e_1)|~sQ61_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f291])).
% 0.11/0.40 fof(f294,definition,(
% 0.11/0.40 sQ62_spl <=> (product(e_3,e_1,e_1))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f295,plain,(
% 0.11/0.40 product(e_3,e_1,e_1)|~sQ62_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f294])).
% 0.11/0.40 fof(f297,definition,(
% 0.11/0.40 sQ63_spl <=> (product(e_4,e_1,e_1))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f298,plain,(
% 0.11/0.40 product(e_4,e_1,e_1)|~sQ63_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f297])).
% 0.11/0.40 fof(f300,plain,(
% 0.11/0.40 sQ60_spl|sQ61_spl|sQ62_spl|sQ63_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f248,f288,f291,f294,f297])).
% 0.11/0.40 fof(f310,plain,(
% 0.11/0.40 product(e_3,e_1,e_3)|product(e_3,e_2,e_3)|product(e_3,e_3,e_3)|product(e_3,e_4,e_3)),
% 0.11/0.40 inference(resolution,[status(thm)],[f70,f35])).
% 0.11/0.40 fof(f311,plain,(
% 0.11/0.40 product(e_3,e_1,e_2)|product(e_3,e_2,e_2)|product(e_3,e_3,e_2)|product(e_3,e_4,e_2)),
% 0.11/0.40 inference(resolution,[status(thm)],[f70,f34])).
% 0.11/0.40 fof(f312,plain,(
% 0.11/0.40 product(e_3,e_1,e_1)|product(e_3,e_2,e_1)|product(e_3,e_3,e_1)|product(e_3,e_4,e_1)),
% 0.11/0.40 inference(resolution,[status(thm)],[f70,f33])).
% 0.11/0.40 fof(f314,plain,(
% 0.11/0.40 sQ54_spl|sQ38_spl|sQ22_spl|sQ6_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f310,f268,f212,f156,f100])).
% 0.11/0.40 fof(f315,plain,(
% 0.11/0.40 sQ58_spl|sQ42_spl|sQ26_spl|sQ10_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f311,f281,f225,f169,f113])).
% 0.11/0.40 fof(f316,plain,(
% 0.11/0.40 sQ62_spl|sQ46_spl|sQ30_spl|sQ14_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f312,f294,f238,f182,f126])).
% 0.11/0.40 fof(f341,plain,(
% 0.11/0.40 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)),
% 0.11/0.40 inference(resolution,[status(thm)],[f74,f36])).
% 0.11/0.40 fof(f345,plain,(
% 0.11/0.40 sQ14_spl|sQ10_spl|sQ6_spl|sQ2_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f341,f126,f113,f100,f87])).
% 0.11/0.40 fof(f365,plain,(
% 0.11/0.40 ![X0]: (~product(e_3,e_4,X0)|product(X0,e_1,e_4)|~sQ31_spl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f186,f58])).
% 0.11/0.40 fof(f368,plain,(
% 0.11/0.40 ![X0]: (~product(e_3,e_4,X0)|product(X0,e_2,e_4)|~sQ27_spl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f173,f58])).
% 0.11/0.40 fof(f373,plain,(
% 0.11/0.40 ![X0,X1]: (~product(X0,X0,X1)|equalish(X1,X0))),
% 0.11/0.40 inference(resolution,[status(thm)],[f51,f56])).
% 0.11/0.40 fof(f377,plain,(
% 0.11/0.40 ![X0,X1]: (~product(X0,X1,X0)|equalish(X1,X0))),
% 0.11/0.40 inference(resolution,[status(thm)],[f53,f56])).
% 0.11/0.40 fof(f381,plain,(
% 0.11/0.40 ![X0,X1]: (~product(X0,X1,X1)|equalish(X0,X1))),
% 0.11/0.40 inference(resolution,[status(thm)],[f55,f56])).
% 0.11/0.40 fof(f383,plain,(
% 0.11/0.40 equalish(e_4,e_3)|~sQ23_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f160,f381])).
% 0.11/0.40 fof(f391,plain,(
% 0.11/0.40 $false|~sQ23_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f383,f48])).
% 0.11/0.40 fof(f392,plain,(
% 0.11/0.40 ~sQ23_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f391])).
% 0.11/0.40 fof(f398,plain,(
% 0.11/0.40 ![X0]: (product(X0,e_1,e_4)|~product(e_1,X0,e_2)|~sQ47_spl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f242,f30])).
% 0.11/0.40 fof(f399,plain,(
% 0.11/0.40 equalish(e_4,e_2)|~sQ43_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f229,f381])).
% 0.11/0.40 fof(f407,plain,(
% 0.11/0.40 $false|~sQ43_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f399,f47])).
% 0.11/0.40 fof(f408,plain,(
% 0.11/0.40 ~sQ43_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f407])).
% 0.11/0.40 fof(f415,plain,(
% 0.11/0.40 equalish(e_4,e_1)|~sQ63_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f298,f381])).
% 0.11/0.40 fof(f423,plain,(
% 0.11/0.40 $false|~sQ63_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f415,f46])).
% 0.11/0.40 fof(f424,plain,(
% 0.11/0.40 ~sQ63_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f423])).
% 0.11/0.40 fof(f430,plain,(
% 0.11/0.40 ![X0]: (product(X0,e_2,e_4)|~product(e_2,X0,e_1)|~sQ59_spl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f285,f30])).
% 0.11/0.40 fof(f438,plain,(
% 0.11/0.40 product(e_1,e_1,e_4)|~sQ14_spl|~sQ31_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f127,f365])).
% 0.11/0.40 fof(f458,plain,(
% 0.11/0.40 equalish(e_4,e_1)|~sQ14_spl|~sQ31_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f438,f373])).
% 0.11/0.40 fof(f464,plain,(
% 0.11/0.40 $false|~sQ14_spl|~sQ31_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f458,f46])).
% 0.11/0.40 fof(f465,plain,(
% 0.11/0.40 ~sQ14_spl|~sQ31_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f464])).
% 0.11/0.40 fof(f469,plain,(
% 0.11/0.40 equalish(e_1,e_3)|~sQ30_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f183,f373])).
% 0.11/0.40 fof(f475,plain,(
% 0.11/0.40 $false|~sQ30_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f469,f38])).
% 0.11/0.40 fof(f476,plain,(
% 0.11/0.40 ~sQ30_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f475])).
% 0.11/0.40 fof(f483,plain,(
% 0.11/0.40 ![X0]: (product(X0,e_1,e_3)|~product(e_1,X0,e_2)|~sQ46_spl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f239,f30])).
% 0.11/0.40 fof(f515,plain,(
% 0.11/0.40 equalish(e_3,e_1)|~sQ62_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f295,f381])).
% 0.11/0.40 fof(f523,plain,(
% 0.11/0.40 $false|~sQ62_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f515,f43])).
% 0.11/0.41 fof(f524,plain,(
% 0.11/0.41 ~sQ62_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f523])).
% 0.11/0.41 fof(f533,plain,(
% 0.11/0.41 equalish(e_2,e_3)|~sQ26_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f170,f373])).
% 0.11/0.41 fof(f539,plain,(
% 0.11/0.41 $false|~sQ26_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f533,f41])).
% 0.11/0.41 fof(f540,plain,(
% 0.11/0.41 ~sQ26_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f539])).
% 0.11/0.41 fof(f541,plain,(
% 0.11/0.41 equalish(e_3,e_2)|~sQ42_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f226,f381])).
% 0.11/0.41 fof(f549,plain,(
% 0.11/0.41 $false|~sQ42_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f541,f44])).
% 0.11/0.41 fof(f550,plain,(
% 0.11/0.41 ~sQ42_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f549])).
% 0.11/0.41 fof(f556,plain,(
% 0.11/0.41 ![X0]: (product(X0,e_2,e_3)|~product(e_2,X0,e_1)|~sQ58_spl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f282,f30])).
% 0.11/0.41 fof(f558,plain,(
% 0.11/0.41 equalish(e_4,e_3)|~sQ6_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f101,f377])).
% 0.11/0.41 fof(f565,plain,(
% 0.11/0.41 $false|~sQ6_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f558,f48])).
% 0.11/0.41 fof(f566,plain,(
% 0.11/0.41 ~sQ6_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f565])).
% 0.11/0.41 fof(f570,plain,(
% 0.11/0.41 equalish(e_2,e_3)|~sQ38_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f213,f377])).
% 0.11/0.41 fof(f577,plain,(
% 0.11/0.41 $false|~sQ38_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f570,f41])).
% 0.11/0.41 fof(f578,plain,(
% 0.11/0.41 ~sQ38_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f577])).
% 0.11/0.41 fof(f581,plain,(
% 0.11/0.41 equalish(e_1,e_3)|~sQ54_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f269,f377])).
% 0.11/0.41 fof(f588,plain,(
% 0.11/0.41 $false|~sQ54_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f581,f38])).
% 0.11/0.41 fof(f589,plain,(
% 0.11/0.41 ~sQ54_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f588])).
% 0.11/0.41 fof(f590,plain,(
% 0.11/0.41 equalish(e_3,e_4)|~sQ2_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f88,f381])).
% 0.11/0.41 fof(f598,plain,(
% 0.11/0.41 $false|~sQ2_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f590,f45])).
% 0.11/0.41 fof(f599,plain,(
% 0.11/0.41 ~sQ2_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f598])).
% 0.11/0.41 fof(f610,plain,(
% 0.11/0.41 product(e_3,e_2,e_3)|~sQ29_spl|~sQ58_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f180,f556])).
% 0.11/0.41 fof(f611,plain,(
% 0.11/0.41 product(e_3,e_2,e_4)|~sQ29_spl|~sQ59_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f180,f430])).
% 0.11/0.41 fof(f618,plain,(
% 0.11/0.41 sQ38_spl|~sQ29_spl|~sQ58_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f610,f212,f179,f281])).
% 0.11/0.41 fof(f622,plain,(
% 0.11/0.41 equalish(e_1,e_2)|~sQ45_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f236,f373])).
% 0.11/0.41 fof(f628,plain,(
% 0.11/0.41 $false|~sQ45_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f622,f37])).
% 0.11/0.41 fof(f629,plain,(
% 0.11/0.41 ~sQ45_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f628])).
% 0.11/0.41 fof(f631,plain,(
% 0.11/0.41 equalish(e_2,e_1)|~sQ61_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f292,f381])).
% 0.11/0.41 fof(f639,plain,(
% 0.11/0.41 $false|~sQ61_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f631,f40])).
% 0.11/0.41 fof(f640,plain,(
% 0.11/0.41 ~sQ61_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f639])).
% 0.11/0.41 fof(f643,plain,(
% 0.11/0.41 equalish(e_4,e_2)|~sQ9_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f111,f377])).
% 0.11/0.41 fof(f650,plain,(
% 0.11/0.41 $false|~sQ9_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f643,f47])).
% 0.11/0.41 fof(f651,plain,(
% 0.11/0.41 ~sQ9_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f650])).
% 0.11/0.41 fof(f654,plain,(
% 0.11/0.41 equalish(e_3,e_2)|~sQ25_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f167,f377])).
% 0.11/0.41 fof(f661,plain,(
% 0.11/0.41 $false|~sQ25_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f654,f44])).
% 0.11/0.41 fof(f662,plain,(
% 0.11/0.41 ~sQ25_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f661])).
% 0.11/0.41 fof(f664,plain,(
% 0.11/0.41 equalish(e_1,e_2)|~sQ57_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f279,f377])).
% 0.11/0.41 fof(f671,plain,(
% 0.11/0.41 $false|~sQ57_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f664,f37])).
% 0.11/0.41 fof(f672,plain,(
% 0.11/0.41 ~sQ57_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f671])).
% 0.11/0.41 fof(f695,plain,(
% 0.11/0.41 product(e_2,e_2,e_4)|~sQ27_spl|~sQ10_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f368,f114])).
% 0.11/0.41 fof(f699,plain,(
% 0.11/0.41 equalish(e_4,e_2)|~sQ27_spl|~sQ10_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f695,f373])).
% 0.11/0.41 fof(f705,plain,(
% 0.11/0.41 $false|~sQ27_spl|~sQ10_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f699,f47])).
% 0.11/0.41 fof(f706,plain,(
% 0.11/0.41 ~sQ27_spl|~sQ10_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f705])).
% 0.11/0.41 fof(f743,plain,(
% 0.11/0.41 equalish(e_2,e_3)|~sQ21_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f154,f381])).
% 0.11/0.41 fof(f752,plain,(
% 0.11/0.41 $false|~sQ21_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f743,f41])).
% 0.11/0.41 fof(f753,plain,(
% 0.11/0.41 ~sQ21_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f752])).
% 0.11/0.41 fof(f775,plain,(
% 0.11/0.41 equalish(e_3,e_1)|~sQ28_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f177,f377])).
% 0.11/0.41 fof(f782,plain,(
% 0.11/0.41 $false|~sQ28_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f775,f43])).
% 0.11/0.41 fof(f783,plain,(
% 0.11/0.41 ~sQ28_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f782])).
% 0.11/0.41 fof(f796,plain,(
% 0.11/0.41 equalish(e_2,e_1)|~sQ44_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f233,f377])).
% 0.11/0.41 fof(f803,plain,(
% 0.11/0.41 $false|~sQ44_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f796,f40])).
% 0.11/0.41 fof(f804,plain,(
% 0.11/0.41 ~sQ44_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f803])).
% 0.11/0.41 fof(f805,plain,(
% 0.11/0.41 product(e_3,e_1,e_3)|~sQ24_spl|~sQ46_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f164,f483])).
% 0.11/0.41 fof(f812,plain,(
% 0.11/0.41 sQ54_spl|~sQ24_spl|~sQ46_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f805,f268,f163,f238])).
% 0.11/0.41 fof(f813,plain,(
% 0.11/0.41 product(e_3,e_1,e_4)|~sQ47_spl|~sQ24_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f398,f164])).
% 0.11/0.41 fof(f817,plain,(
% 0.11/0.41 ![X0]: (~product(e_3,X0,e_4)|equalish(X0,e_1)|~sQ47_spl|~sQ24_spl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f813,f53])).
% 0.11/0.41 fof(f853,plain,(
% 0.11/0.41 equalish(e_1,e_2)|~sQ40_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f220,f381])).
% 0.11/0.41 fof(f861,plain,(
% 0.11/0.41 $false|~sQ40_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f853,f37])).
% 0.11/0.41 fof(f862,plain,(
% 0.11/0.41 ~sQ40_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f861])).
% 0.11/0.41 fof(f867,plain,(
% 0.11/0.41 equalish(e_2,e_1)|~sQ56_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f276,f373])).
% 0.11/0.41 fof(f873,plain,(
% 0.11/0.41 $false|~sQ56_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f867,f40])).
% 0.11/0.41 fof(f874,plain,(
% 0.11/0.41 ~sQ56_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f873])).
% 0.11/0.41 fof(f877,plain,(
% 0.11/0.41 equalish(e_2,e_1)|~sQ29_spl|~sQ59_spl|~sQ47_spl|~sQ24_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f611,f817])).
% 0.11/0.41 fof(f885,plain,(
% 0.11/0.41 $false|~sQ29_spl|~sQ59_spl|~sQ47_spl|~sQ24_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f877,f40])).
% 0.11/0.41 fof(f886,plain,(
% 0.11/0.41 ~sQ29_spl|~sQ59_spl|~sQ47_spl|~sQ24_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f885])).
% 0.11/0.41 fof(f887,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(sat_refutation,[status(thm)],[f175,f188,f231,f244,f287,f300,f314,f315,f316,f345,f392,f408,f424,f465,f476,f524,f540,f550,f566,f578,f589,f599,f618,f629,f640,f651,f662,f672,f706,f753,f783,f804,f812,f862,f874,f886])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.49 % Elapsed time: 0.130843 seconds
% 0.11/0.49 % CPU time: 0.286910 seconds
% 0.11/0.49 % Total memory used: 19.927 MB
% 0.11/0.49 % Net memory used: 19.587 MB
%------------------------------------------------------------------------------