%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP130-4.003 : 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 : n016.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 0.12s 10.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP130-4.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.60 % Computer : n016.cluster.edu
% 0.12/10.60 % Model : x86_64 x86_64
% 0.12/10.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.60 % Memory : 8046.5625MB
% 0.12/10.60 % OS : Linux 6.8.0-71-generic
% 0.12/10.60 % CPULimit : 300
% 0.12/10.60 % WCLimit : 300
% 0.12/10.60 % DateTime : Sun Sep 20 20:06:04 UTC 2026
% 0.12/10.60 % CPUTime :
% 0.12/10.61 % Drodi V4.1.1
% 0.12/10.63 % Refutation found
% 0.12/10.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/10.63 % SZS output start CNFRefutation for theBenchmark
% 0.12/10.63 fof(f1,axiom,(
% 0.12/10.63 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(e_1,X,Y)| product(e_2,X,Y)| product(e_3,X,Y) ) ))),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f2,axiom,(
% 0.12/10.63 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,e_1,Y)| product(X,e_2,Y)| product(X,e_3,Y) ) ))),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f3,negated_conjecture,(
% 0.12/10.63 (![X,Y,Z1,Z2]: (( product(X,Y,Z1)| ~ product(Z2,Y,X)| ~ product(X,Z1,Z2) ) ))),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f4,negated_conjecture,(
% 0.12/10.63 (![X,Z1,Z2,Y]: (( product(X,Z1,Z2)| ~ product(Z2,Y,X)| ~ product(X,Y,Z1) ) ))),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f5,axiom,(
% 0.12/10.63 group_element(e_1) ),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f6,axiom,(
% 0.12/10.63 group_element(e_2) ),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f7,axiom,(
% 0.12/10.63 group_element(e_3) ),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f10,axiom,(
% 0.12/10.63 ~ equalish(e_2,e_1) ),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f11,axiom,(
% 0.12/10.63 ~ equalish(e_2,e_3) ),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f12,axiom,(
% 0.12/10.63 ~ equalish(e_3,e_1) ),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f13,axiom,(
% 0.12/10.63 ~ equalish(e_3,e_2) ),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f14,axiom,(
% 0.12/10.63 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3) ) ))),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f16,axiom,(
% 0.12/10.63 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f17,axiom,(
% 0.12/10.63 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f18,negated_conjecture,(
% 0.12/10.63 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(X,Z1,Z2)| product(Z2,Y,X) ) ))),
% 0.12/10.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.63 fof(f19,plain,(
% 0.12/10.63 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(e_1,X0,X1)|product(e_2,X0,X1)|product(e_3,X0,X1))),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/10.63 fof(f20,plain,(
% 0.12/10.63 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,e_1,X1)|product(X0,e_2,X1)|product(X0,e_3,X1))),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/10.63 fof(f21,plain,(
% 0.12/10.63 ![X,Z1,Z2]: ((![Y]: (product(X,Y,Z1)|~product(Z2,Y,X)))|~product(X,Z1,Z2))),
% 0.12/10.63 inference(miniscoping,[status(thm)],[f3])).
% 0.12/10.63 fof(f22,plain,(
% 0.12/10.63 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X3,X1,X0)|~product(X0,X2,X3))),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/10.63 fof(f23,plain,(
% 0.12/10.63 ![X,Z1,Y]: ((![Z2]: (product(X,Z1,Z2)|~product(Z2,Y,X)))|~product(X,Y,Z1))),
% 0.12/10.63 inference(miniscoping,[status(thm)],[f4])).
% 0.12/10.63 fof(f24,plain,(
% 0.12/10.63 ![X0,X1,X2,X3]: (product(X0,X1,X2)|~product(X2,X3,X0)|~product(X0,X3,X1))),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/10.63 fof(f25,plain,(
% 0.12/10.63 group_element(e_1)),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/10.63 fof(f26,plain,(
% 0.12/10.63 group_element(e_2)),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/10.63 fof(f27,plain,(
% 0.12/10.63 group_element(e_3)),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/10.63 fof(f30,plain,(
% 0.12/10.63 ~equalish(e_2,e_1)),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/10.63 fof(f31,plain,(
% 0.12/10.63 ~equalish(e_2,e_3)),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/10.63 fof(f32,plain,(
% 0.12/10.63 ~equalish(e_3,e_1)),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/10.63 fof(f33,plain,(
% 0.12/10.63 ~equalish(e_3,e_2)),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/10.63 fof(f34,plain,(
% 0.12/10.63 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3))),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/10.63 fof(f37,plain,(
% 0.12/10.63 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.12/10.63 inference(miniscoping,[status(thm)],[f16])).
% 0.12/10.63 fof(f38,plain,(
% 0.12/10.63 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/10.63 fof(f39,plain,(
% 0.12/10.63 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.12/10.63 inference(miniscoping,[status(thm)],[f17])).
% 0.12/10.63 fof(f40,plain,(
% 0.12/10.63 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f39])).
% 0.12/10.63 fof(f41,plain,(
% 0.12/10.63 ![X,Y,Z2]: ((![Z1]: (~product(X,Y,Z1)|~product(X,Z1,Z2)))|product(Z2,Y,X))),
% 0.12/10.63 inference(miniscoping,[status(thm)],[f18])).
% 0.12/10.63 fof(f42,plain,(
% 0.12/10.63 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X2,X3)|product(X3,X1,X0))),
% 0.12/10.63 inference(cnf_transformation,[status(thm)],[f41])).
% 0.12/10.63 fof(f44,plain,(
% 0.12/10.63 ![X0]: (~group_element(X0)|product(e_1,e_2,X0)|product(e_2,e_2,X0)|product(e_3,e_2,X0))),
% 0.12/10.63 inference(resolution,[status(thm)],[f19,f26])).
% 0.12/10.63 fof(f45,plain,(
% 0.12/10.63 ![X0]: (~group_element(X0)|product(e_1,e_1,X0)|product(e_2,e_1,X0)|product(e_3,e_1,X0))),
% 0.12/10.63 inference(resolution,[status(thm)],[f19,f25])).
% 0.12/10.63 fof(f46,plain,(
% 0.12/10.63 ![X0]: (~group_element(X0)|product(e_3,e_1,X0)|product(e_3,e_2,X0)|product(e_3,e_3,X0))),
% 0.12/10.63 inference(resolution,[status(thm)],[f20,f27])).
% 0.12/10.63 fof(f48,plain,(
% 0.12/10.63 ![X0]: (~group_element(X0)|product(e_1,e_1,X0)|product(e_1,e_2,X0)|product(e_1,e_3,X0))),
% 0.12/10.63 inference(resolution,[status(thm)],[f20,f25])).
% 0.12/10.63 fof(f49,plain,(
% 0.12/10.63 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3))),
% 0.12/10.63 inference(resolution,[status(thm)],[f34,f27])).
% 0.12/10.63 fof(f51,plain,(
% 0.12/10.63 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_2)|product(e_1,X0,e_3))),
% 0.12/10.63 inference(resolution,[status(thm)],[f34,f25])).
% 0.12/10.63 fof(f55,definition,(
% 0.12/10.63 sQ0_spl <=> (product(e_1,e_3,e_3))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f56,plain,(
% 0.12/10.63 product(e_1,e_3,e_3)|~sQ0_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f55])).
% 0.12/10.63 fof(f61,definition,(
% 0.12/10.63 sQ2_spl <=> (product(e_3,e_3,e_3))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f62,plain,(
% 0.12/10.63 product(e_3,e_3,e_3)|~sQ2_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f61])).
% 0.12/10.63 fof(f71,definition,(
% 0.12/10.63 sQ5_spl <=> (product(e_3,e_3,e_2))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f75,definition,(
% 0.12/10.63 sQ6_spl <=> (product(e_1,e_3,e_1))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f81,definition,(
% 0.12/10.63 sQ8_spl <=> (product(e_3,e_3,e_1))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f82,plain,(
% 0.12/10.63 product(e_3,e_3,e_1)|~sQ8_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f81])).
% 0.12/10.63 fof(f85,plain,(
% 0.12/10.63 product(e_1,e_2,e_3)|product(e_2,e_2,e_3)|product(e_3,e_2,e_3)),
% 0.12/10.63 inference(resolution,[status(thm)],[f44,f27])).
% 0.12/10.63 fof(f86,plain,(
% 0.12/10.63 product(e_1,e_2,e_2)|product(e_2,e_2,e_2)|product(e_3,e_2,e_2)),
% 0.12/10.63 inference(resolution,[status(thm)],[f44,f26])).
% 0.12/10.63 fof(f88,definition,(
% 0.12/10.63 sQ9_spl <=> (product(e_1,e_2,e_3))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f89,plain,(
% 0.12/10.63 product(e_1,e_2,e_3)|~sQ9_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f88])).
% 0.12/10.63 fof(f91,definition,(
% 0.12/10.63 sQ10_spl <=> (product(e_2,e_2,e_3))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f92,plain,(
% 0.12/10.63 product(e_2,e_2,e_3)|~sQ10_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f91])).
% 0.12/10.63 fof(f94,definition,(
% 0.12/10.63 sQ11_spl <=> (product(e_3,e_2,e_3))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f95,plain,(
% 0.12/10.63 product(e_3,e_2,e_3)|~sQ11_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f94])).
% 0.12/10.63 fof(f97,plain,(
% 0.12/10.63 sQ9_spl|sQ10_spl|sQ11_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f85,f88,f91,f94])).
% 0.12/10.63 fof(f98,definition,(
% 0.12/10.63 sQ12_spl <=> (product(e_1,e_2,e_2))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f99,plain,(
% 0.12/10.63 product(e_1,e_2,e_2)|~sQ12_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f98])).
% 0.12/10.63 fof(f101,definition,(
% 0.12/10.63 sQ13_spl <=> (product(e_2,e_2,e_2))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f102,plain,(
% 0.12/10.63 product(e_2,e_2,e_2)|~sQ13_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f101])).
% 0.12/10.63 fof(f104,definition,(
% 0.12/10.63 sQ14_spl <=> (product(e_3,e_2,e_2))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f105,plain,(
% 0.12/10.63 product(e_3,e_2,e_2)|~sQ14_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f104])).
% 0.12/10.63 fof(f107,plain,(
% 0.12/10.63 sQ12_spl|sQ13_spl|sQ14_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f86,f98,f101,f104])).
% 0.12/10.63 fof(f108,definition,(
% 0.12/10.63 sQ15_spl <=> (product(e_1,e_2,e_1))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f109,plain,(
% 0.12/10.63 product(e_1,e_2,e_1)|~sQ15_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f108])).
% 0.12/10.63 fof(f111,definition,(
% 0.12/10.63 sQ16_spl <=> (product(e_2,e_2,e_1))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f112,plain,(
% 0.12/10.63 product(e_2,e_2,e_1)|~sQ16_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f111])).
% 0.12/10.63 fof(f114,definition,(
% 0.12/10.63 sQ17_spl <=> (product(e_3,e_2,e_1))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f115,plain,(
% 0.12/10.63 product(e_3,e_2,e_1)|~sQ17_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f114])).
% 0.12/10.63 fof(f120,plain,(
% 0.12/10.63 product(e_1,e_1,e_1)|product(e_2,e_1,e_1)|product(e_3,e_1,e_1)),
% 0.12/10.63 inference(resolution,[status(thm)],[f45,f25])).
% 0.12/10.63 fof(f121,definition,(
% 0.12/10.63 sQ18_spl <=> (product(e_1,e_1,e_3))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f122,plain,(
% 0.12/10.63 product(e_1,e_1,e_3)|~sQ18_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f121])).
% 0.12/10.63 fof(f127,definition,(
% 0.12/10.63 sQ20_spl <=> (product(e_3,e_1,e_3))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f128,plain,(
% 0.12/10.63 product(e_3,e_1,e_3)|~sQ20_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f127])).
% 0.12/10.63 fof(f131,definition,(
% 0.12/10.63 sQ21_spl <=> (product(e_1,e_1,e_2))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f137,definition,(
% 0.12/10.63 sQ23_spl <=> (product(e_3,e_1,e_2))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f138,plain,(
% 0.12/10.63 product(e_3,e_1,e_2)|~sQ23_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f137])).
% 0.12/10.63 fof(f141,definition,(
% 0.12/10.63 sQ24_spl <=> (product(e_1,e_1,e_1))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f142,plain,(
% 0.12/10.63 product(e_1,e_1,e_1)|~sQ24_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f141])).
% 0.12/10.63 fof(f144,definition,(
% 0.12/10.63 sQ25_spl <=> (product(e_2,e_1,e_1))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f145,plain,(
% 0.12/10.63 product(e_2,e_1,e_1)|~sQ25_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f144])).
% 0.12/10.63 fof(f147,definition,(
% 0.12/10.63 sQ26_spl <=> (product(e_3,e_1,e_1))),
% 0.12/10.63 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/10.63 fof(f148,plain,(
% 0.12/10.63 product(e_3,e_1,e_1)|~sQ26_spl),
% 0.12/10.63 inference(component_clause,[status(thm)],[f147])).
% 0.12/10.63 fof(f150,plain,(
% 0.12/10.63 sQ24_spl|sQ25_spl|sQ26_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f120,f141,f144,f147])).
% 0.12/10.63 fof(f151,plain,(
% 0.12/10.63 product(e_3,e_1,e_3)|product(e_3,e_2,e_3)|product(e_3,e_3,e_3)),
% 0.12/10.63 inference(resolution,[status(thm)],[f46,f27])).
% 0.12/10.63 fof(f152,plain,(
% 0.12/10.63 product(e_3,e_1,e_2)|product(e_3,e_2,e_2)|product(e_3,e_3,e_2)),
% 0.12/10.63 inference(resolution,[status(thm)],[f46,f26])).
% 0.12/10.63 fof(f153,plain,(
% 0.12/10.63 product(e_3,e_1,e_1)|product(e_3,e_2,e_1)|product(e_3,e_3,e_1)),
% 0.12/10.63 inference(resolution,[status(thm)],[f46,f25])).
% 0.12/10.63 fof(f154,plain,(
% 0.12/10.63 sQ20_spl|sQ11_spl|sQ2_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f151,f127,f94,f61])).
% 0.12/10.63 fof(f155,plain,(
% 0.12/10.63 sQ23_spl|sQ14_spl|sQ5_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f152,f137,f104,f71])).
% 0.12/10.63 fof(f156,plain,(
% 0.12/10.63 sQ26_spl|sQ17_spl|sQ8_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f153,f147,f114,f81])).
% 0.12/10.63 fof(f165,plain,(
% 0.12/10.63 product(e_1,e_1,e_1)|product(e_1,e_2,e_1)|product(e_1,e_3,e_1)),
% 0.12/10.63 inference(resolution,[status(thm)],[f48,f25])).
% 0.12/10.63 fof(f168,plain,(
% 0.12/10.63 sQ24_spl|sQ15_spl|sQ6_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f165,f141,f108,f75])).
% 0.12/10.63 fof(f171,plain,(
% 0.12/10.63 product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3)),
% 0.12/10.63 inference(resolution,[status(thm)],[f49,f25])).
% 0.12/10.63 fof(f174,plain,(
% 0.12/10.63 sQ26_spl|sQ23_spl|sQ20_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f171,f147,f137,f127])).
% 0.12/10.63 fof(f182,plain,(
% 0.12/10.63 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)),
% 0.12/10.63 inference(resolution,[status(thm)],[f51,f26])).
% 0.12/10.63 fof(f183,plain,(
% 0.12/10.63 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)),
% 0.12/10.63 inference(resolution,[status(thm)],[f51,f25])).
% 0.12/10.63 fof(f185,plain,(
% 0.12/10.63 sQ15_spl|sQ12_spl|sQ9_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f182,f108,f98,f88])).
% 0.12/10.63 fof(f186,plain,(
% 0.12/10.63 sQ24_spl|sQ21_spl|sQ18_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f183,f141,f131,f121])).
% 0.12/10.63 fof(f192,plain,(
% 0.12/10.63 ![X0]: (product(e_3,e_3,X0)|~product(e_3,X0,e_3)|~sQ2_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f62,f22])).
% 0.12/10.63 fof(f198,plain,(
% 0.12/10.63 ![X0]: (~product(e_3,X0,e_2)|product(e_1,X0,e_3)|~sQ17_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f115,f42])).
% 0.12/10.63 fof(f199,plain,(
% 0.12/10.63 ![X0]: (product(e_1,X0,e_3)|~product(e_1,e_2,X0)|~sQ17_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f115,f24])).
% 0.12/10.63 fof(f201,plain,(
% 0.12/10.63 product(e_1,e_2,e_3)|~sQ14_spl|~sQ17_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f105,f198])).
% 0.12/10.63 fof(f208,plain,(
% 0.12/10.63 product(e_1,e_3,e_3)|~sQ14_spl|~sQ17_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f201,f199])).
% 0.12/10.63 fof(f211,plain,(
% 0.12/10.63 ![X0]: (~product(e_1,X0,e_3)|equalish(X0,e_2)|~sQ14_spl|~sQ17_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f201,f38])).
% 0.12/10.63 fof(f231,plain,(
% 0.12/10.63 equalish(e_3,e_2)|~sQ14_spl|~sQ17_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f211,f208])).
% 0.12/10.63 fof(f233,plain,(
% 0.12/10.63 $false|~sQ14_spl|~sQ17_spl),
% 0.12/10.63 inference(forward_subsumption_resolution,[status(thm)],[f231,f33])).
% 0.12/10.63 fof(f234,plain,(
% 0.12/10.63 ~sQ14_spl|~sQ17_spl),
% 0.12/10.63 inference(contradiction_clause,[status(thm)],[f233])).
% 0.12/10.63 fof(f238,plain,(
% 0.12/10.63 ![X0]: (~product(e_3,X0,e_1)|product(e_1,X0,e_3)|~sQ26_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f148,f42])).
% 0.12/10.63 fof(f239,plain,(
% 0.12/10.63 ![X0]: (product(e_1,X0,e_3)|~product(e_1,e_1,X0)|~sQ26_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f148,f24])).
% 0.12/10.63 fof(f241,plain,(
% 0.12/10.63 product(e_1,e_1,e_3)|~sQ26_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f238,f148])).
% 0.12/10.63 fof(f243,plain,(
% 0.12/10.63 ![X0]: (~product(e_1,X0,e_3)|equalish(X0,e_1)|~sQ26_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f241,f38])).
% 0.12/10.63 fof(f249,plain,(
% 0.12/10.63 product(e_1,e_3,e_3)|~sQ26_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f239,f241])).
% 0.12/10.63 fof(f255,plain,(
% 0.12/10.63 equalish(e_3,e_1)|~sQ26_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f249,f243])).
% 0.12/10.63 fof(f263,plain,(
% 0.12/10.63 $false|~sQ26_spl),
% 0.12/10.63 inference(forward_subsumption_resolution,[status(thm)],[f255,f32])).
% 0.12/10.63 fof(f264,plain,(
% 0.12/10.63 ~sQ26_spl),
% 0.12/10.63 inference(contradiction_clause,[status(thm)],[f263])).
% 0.12/10.63 fof(f269,plain,(
% 0.12/10.63 ![X0]: (product(e_2,X0,e_3)|~product(e_2,e_1,X0)|~sQ23_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f138,f24])).
% 0.12/10.63 fof(f274,plain,(
% 0.12/10.63 ![X0]: (~product(e_2,X0,e_2)|product(e_1,X0,e_2)|~sQ16_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f112,f42])).
% 0.12/10.63 fof(f277,plain,(
% 0.12/10.63 product(e_2,e_1,e_3)|~sQ25_spl|~sQ23_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f145,f269])).
% 0.12/10.63 fof(f282,plain,(
% 0.12/10.63 ![X0]: (product(e_1,X0,e_2)|~product(e_1,e_1,X0)|~sQ25_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f145,f24])).
% 0.12/10.63 fof(f284,plain,(
% 0.12/10.63 product(e_2,e_3,e_3)|~sQ25_spl|~sQ23_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f277,f269])).
% 0.12/10.63 fof(f287,plain,(
% 0.12/10.63 ![X0]: (~product(e_2,X0,e_3)|equalish(X0,e_1)|~sQ25_spl|~sQ23_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f277,f38])).
% 0.12/10.63 fof(f300,plain,(
% 0.12/10.63 equalish(e_3,e_1)|~sQ25_spl|~sQ23_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f287,f284])).
% 0.12/10.63 fof(f302,plain,(
% 0.12/10.63 $false|~sQ25_spl|~sQ23_spl),
% 0.12/10.63 inference(forward_subsumption_resolution,[status(thm)],[f300,f32])).
% 0.12/10.63 fof(f303,plain,(
% 0.12/10.63 ~sQ25_spl|~sQ23_spl),
% 0.12/10.63 inference(contradiction_clause,[status(thm)],[f302])).
% 0.12/10.63 fof(f304,plain,(
% 0.12/10.63 product(e_1,e_2,e_2)|~sQ13_spl|~sQ16_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f102,f274])).
% 0.12/10.63 fof(f309,plain,(
% 0.12/10.63 ![X0]: (product(e_2,X0,e_2)|~product(e_2,e_2,X0)|~sQ13_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f102,f24])).
% 0.12/10.63 fof(f313,plain,(
% 0.12/10.63 ![X0]: (~product(X0,e_2,e_2)|equalish(X0,e_1)|~sQ13_spl|~sQ16_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f304,f40])).
% 0.12/10.63 fof(f320,plain,(
% 0.12/10.63 equalish(e_2,e_1)|~sQ16_spl|~sQ13_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f313,f102])).
% 0.12/10.63 fof(f321,plain,(
% 0.12/10.63 $false|~sQ16_spl|~sQ13_spl),
% 0.12/10.63 inference(forward_subsumption_resolution,[status(thm)],[f320,f30])).
% 0.12/10.63 fof(f322,plain,(
% 0.12/10.63 ~sQ16_spl|~sQ13_spl),
% 0.12/10.63 inference(contradiction_clause,[status(thm)],[f321])).
% 0.12/10.63 fof(f345,plain,(
% 0.12/10.63 ![X0]: (~product(e_1,X0,e_2)|product(e_1,X0,e_1)|~sQ15_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f109,f42])).
% 0.12/10.63 fof(f347,plain,(
% 0.12/10.63 ![X0]: (product(e_1,e_2,X0)|~product(e_1,X0,e_1)|~sQ15_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f109,f22])).
% 0.12/10.63 fof(f348,plain,(
% 0.12/10.63 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_3)|~sQ15_spl)),
% 0.12/10.63 inference(backward_subsumption_resolution,[status(thm)],[f51,f345])).
% 0.12/10.63 fof(f351,plain,(
% 0.12/10.63 product(e_1,e_1,e_1)|product(e_1,e_1,e_3)|~sQ15_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f348,f25])).
% 0.12/10.63 fof(f354,plain,(
% 0.12/10.63 sQ24_spl|sQ18_spl|~sQ15_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f351,f141,f121,f108])).
% 0.12/10.63 fof(f374,plain,(
% 0.12/10.63 ![X0]: (~product(e_1,X0,e_2)|product(e_2,X0,e_1)|~sQ12_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f99,f42])).
% 0.12/10.63 fof(f375,plain,(
% 0.12/10.63 ![X0]: (product(e_2,X0,e_1)|~product(e_2,e_2,X0)|~sQ12_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f99,f24])).
% 0.12/10.63 fof(f376,plain,(
% 0.12/10.63 ![X0]: (product(e_2,e_2,X0)|~product(e_2,X0,e_1)|~sQ12_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f99,f22])).
% 0.12/10.63 fof(f377,plain,(
% 0.12/10.63 product(e_2,e_2,e_1)|~sQ12_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f374,f99])).
% 0.12/10.63 fof(f378,plain,(
% 0.12/10.63 product(e_2,e_1,e_1)|~sQ12_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f377,f375])).
% 0.12/10.63 fof(f385,plain,(
% 0.12/10.63 sQ25_spl|~sQ12_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f378,f144,f98])).
% 0.12/10.63 fof(f387,plain,(
% 0.12/10.63 product(e_2,e_2,e_2)|~sQ12_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f376,f377])).
% 0.12/10.63 fof(f388,plain,(
% 0.12/10.63 sQ13_spl|~sQ12_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f387,f101,f98])).
% 0.12/10.63 fof(f389,plain,(
% 0.12/10.63 product(e_1,e_1,e_2)|~sQ25_spl|~sQ24_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f282,f142])).
% 0.12/10.63 fof(f390,plain,(
% 0.12/10.63 product(e_1,e_2,e_2)|~sQ24_spl|~sQ25_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f389,f282])).
% 0.12/10.63 fof(f393,plain,(
% 0.12/10.63 ![X0]: (~product(e_1,X0,e_2)|equalish(X0,e_1)|~sQ25_spl|~sQ24_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f389,f38])).
% 0.12/10.63 fof(f409,plain,(
% 0.12/10.63 ![X0]: (~product(e_1,X0,e_3)|product(e_3,X0,e_1)|~sQ0_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f56,f42])).
% 0.12/10.63 fof(f415,plain,(
% 0.12/10.63 ![X0]: (~product(e_3,X0,e_2)|product(e_3,X0,e_3)|~sQ11_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f95,f42])).
% 0.12/10.63 fof(f418,plain,(
% 0.12/10.63 product(e_2,e_3,e_2)|~sQ10_spl|~sQ13_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f92,f309])).
% 0.12/10.63 fof(f422,plain,(
% 0.12/10.63 ![X0]: (~product(e_2,X0,e_2)|product(e_3,X0,e_2)|~sQ10_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f92,f42])).
% 0.12/10.63 fof(f431,plain,(
% 0.12/10.63 ![X0]: (product(e_3,X0,e_1)|~product(e_3,e_1,X0)|~sQ18_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f122,f24])).
% 0.12/10.63 fof(f442,plain,(
% 0.12/10.63 ![X0]: (~product(e_3,X0,e_3)|product(e_1,X0,e_3)|~sQ8_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f82,f42])).
% 0.12/10.63 fof(f452,plain,(
% 0.12/10.63 ![X0]: (~product(X0,e_3,e_2)|equalish(X0,e_2)|~sQ10_spl|~sQ13_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f418,f40])).
% 0.12/10.63 fof(f474,plain,(
% 0.12/10.63 equalish(e_2,e_1)|~sQ24_spl|~sQ25_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f393,f390])).
% 0.12/10.63 fof(f479,plain,(
% 0.12/10.63 product(e_3,e_2,e_1)|~sQ0_spl|~sQ9_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f409,f89])).
% 0.12/10.63 fof(f480,plain,(
% 0.12/10.63 sQ17_spl|~sQ0_spl|~sQ9_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f479,f114,f55,f88])).
% 0.12/10.63 fof(f481,plain,(
% 0.12/10.63 $false|~sQ24_spl|~sQ25_spl),
% 0.12/10.63 inference(forward_subsumption_resolution,[status(thm)],[f474,f30])).
% 0.12/10.63 fof(f482,plain,(
% 0.12/10.63 ~sQ24_spl|~sQ25_spl),
% 0.12/10.63 inference(contradiction_clause,[status(thm)],[f481])).
% 0.12/10.63 fof(f483,plain,(
% 0.12/10.63 product(e_3,e_3,e_2)|~sQ13_spl|~sQ10_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f418,f422])).
% 0.12/10.63 fof(f504,plain,(
% 0.12/10.63 equalish(e_3,e_2)|~sQ13_spl|~sQ10_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f452,f483])).
% 0.12/10.63 fof(f506,plain,(
% 0.12/10.63 $false|~sQ13_spl|~sQ10_spl),
% 0.12/10.63 inference(forward_subsumption_resolution,[status(thm)],[f504,f33])).
% 0.12/10.63 fof(f507,plain,(
% 0.12/10.63 ~sQ13_spl|~sQ10_spl),
% 0.12/10.63 inference(contradiction_clause,[status(thm)],[f506])).
% 0.12/10.63 fof(f508,plain,(
% 0.12/10.63 product(e_1,e_3,e_3)|~sQ17_spl|~sQ9_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f199,f89])).
% 0.12/10.63 fof(f510,plain,(
% 0.12/10.63 ![X0]: (~product(e_1,X0,e_3)|equalish(X0,e_3)|~sQ17_spl|~sQ9_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f508,f38])).
% 0.12/10.63 fof(f517,plain,(
% 0.12/10.63 equalish(e_2,e_3)|~sQ17_spl|~sQ9_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f510,f89])).
% 0.12/10.63 fof(f518,plain,(
% 0.12/10.63 $false|~sQ17_spl|~sQ9_spl),
% 0.12/10.63 inference(forward_subsumption_resolution,[status(thm)],[f517,f31])).
% 0.12/10.63 fof(f519,plain,(
% 0.12/10.63 ~sQ17_spl|~sQ9_spl),
% 0.12/10.63 inference(contradiction_clause,[status(thm)],[f518])).
% 0.12/10.63 fof(f533,plain,(
% 0.12/10.63 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_3)|~sQ11_spl)),
% 0.12/10.63 inference(backward_subsumption_resolution,[status(thm)],[f49,f415])).
% 0.12/10.63 fof(f534,plain,(
% 0.12/10.63 product(e_3,e_3,e_1)|product(e_3,e_3,e_3)|~sQ11_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f533,f27])).
% 0.12/10.63 fof(f536,plain,(
% 0.12/10.63 product(e_3,e_1,e_1)|product(e_3,e_1,e_3)|~sQ11_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f533,f25])).
% 0.12/10.63 fof(f537,plain,(
% 0.12/10.63 sQ8_spl|sQ2_spl|~sQ11_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f534,f81,f61,f94])).
% 0.12/10.63 fof(f539,plain,(
% 0.12/10.63 sQ26_spl|sQ20_spl|~sQ11_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f536,f147,f127,f94])).
% 0.12/10.63 fof(f546,plain,(
% 0.12/10.63 product(e_1,e_2,e_1)|~sQ15_spl|~sQ24_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f347,f142])).
% 0.12/10.63 fof(f548,plain,(
% 0.12/10.63 product(e_1,e_2,e_2)|~sQ24_spl|~sQ15_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f546,f347])).
% 0.12/10.63 fof(f556,plain,(
% 0.12/10.63 sQ12_spl|~sQ24_spl|~sQ15_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f548,f98,f141,f108])).
% 0.12/10.63 fof(f563,plain,(
% 0.12/10.63 product(e_1,e_1,e_3)|~sQ20_spl|~sQ8_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f128,f442])).
% 0.12/10.63 fof(f567,plain,(
% 0.12/10.63 ![X0]: (~product(e_3,X0,e_1)|product(e_3,X0,e_3)|~sQ20_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f128,f42])).
% 0.12/10.63 fof(f572,plain,(
% 0.12/10.63 ![X0]: (~product(X0,e_1,e_3)|equalish(X0,e_1)|~sQ20_spl|~sQ8_spl)),
% 0.12/10.63 inference(resolution,[status(thm)],[f563,f40])).
% 0.12/10.63 fof(f586,plain,(
% 0.12/10.63 equalish(e_3,e_1)|~sQ8_spl|~sQ20_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f572,f128])).
% 0.12/10.63 fof(f588,plain,(
% 0.12/10.63 $false|~sQ8_spl|~sQ20_spl),
% 0.12/10.63 inference(forward_subsumption_resolution,[status(thm)],[f586,f32])).
% 0.12/10.63 fof(f589,plain,(
% 0.12/10.63 ~sQ8_spl|~sQ20_spl),
% 0.12/10.63 inference(contradiction_clause,[status(thm)],[f588])).
% 0.12/10.63 fof(f609,plain,(
% 0.12/10.63 sQ16_spl|~sQ12_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f377,f111,f98])).
% 0.12/10.63 fof(f622,plain,(
% 0.12/10.63 ![X0]: (~group_element(X0)|product(e_3,X0,e_3)|~sQ20_spl|~sQ11_spl)),
% 0.12/10.63 inference(backward_subsumption_resolution,[status(thm)],[f533,f567])).
% 0.12/10.63 fof(f625,plain,(
% 0.12/10.63 product(e_3,e_1,e_3)|~sQ20_spl|~sQ11_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f622,f25])).
% 0.12/10.63 fof(f641,plain,(
% 0.12/10.63 product(e_3,e_3,e_1)|~sQ20_spl|~sQ11_spl|~sQ18_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f625,f431])).
% 0.12/10.63 fof(f642,plain,(
% 0.12/10.63 product(e_3,e_3,e_1)|~sQ20_spl|~sQ11_spl|~sQ2_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f625,f192])).
% 0.12/10.63 fof(f649,plain,(
% 0.12/10.63 sQ8_spl|~sQ20_spl|~sQ11_spl|~sQ18_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f641,f81,f127,f94,f121])).
% 0.12/10.63 fof(f650,plain,(
% 0.12/10.63 sQ8_spl|~sQ20_spl|~sQ11_spl|~sQ2_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f642,f81,f127,f94,f61])).
% 0.12/10.63 fof(f660,plain,(
% 0.12/10.63 product(e_1,e_3,e_3)|~sQ2_spl|~sQ8_spl),
% 0.12/10.63 inference(resolution,[status(thm)],[f62,f442])).
% 0.12/10.63 fof(f668,plain,(
% 0.12/10.63 sQ0_spl|~sQ2_spl|~sQ8_spl),
% 0.12/10.63 inference(split_clause,[status(thm)],[f660,f55,f61,f81])).
% 0.12/10.63 fof(f669,plain,(
% 0.12/10.63 $false),
% 0.12/10.63 inference(sat_refutation,[status(thm)],[f97,f107,f150,f154,f155,f156,f168,f174,f185,f186,f234,f264,f303,f322,f354,f385,f388,f480,f482,f507,f519,f537,f539,f556,f589,f609,f649,f650,f668])).
% 0.12/10.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/10.65 % Elapsed time: 0.041996 seconds
% 0.12/10.65 % CPU time: 0.136538 seconds
% 0.12/10.65 % Total memory used: 15.144 MB
% 0.12/10.65 % Net memory used: 14.842 MB
%------------------------------------------------------------------------------