%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP130-1.003 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:35:58 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP130-1.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n018.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 20 20:02:57 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.57 % Refutation found
% 0.18/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.57 fof(f1,axiom,(
% 0.18/0.57 group_element(e_1) ),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f2,axiom,(
% 0.18/0.57 group_element(e_2) ),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f3,axiom,(
% 0.18/0.57 group_element(e_3) ),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f4,axiom,(
% 0.18/0.57 ~ equalish(e_1,e_2) ),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f5,axiom,(
% 0.18/0.57 ~ equalish(e_1,e_3) ),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f6,axiom,(
% 0.18/0.57 ~ equalish(e_2,e_1) ),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f7,axiom,(
% 0.18/0.57 ~ equalish(e_2,e_3) ),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f8,axiom,(
% 0.18/0.57 ~ equalish(e_3,e_1) ),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f9,axiom,(
% 0.18/0.57 ~ equalish(e_3,e_2) ),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f10,axiom,(
% 0.18/0.57 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3) ) ))),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f11,axiom,(
% 0.18/0.57 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f12,axiom,(
% 0.18/0.57 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f13,axiom,(
% 0.18/0.57 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f14,negated_conjecture,(
% 0.18/0.57 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(X,Z1,Z2)| product(Z2,Y,X) ) ))),
% 0.18/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.57 fof(f15,plain,(
% 0.18/0.57 group_element(e_1)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.57 fof(f16,plain,(
% 0.18/0.57 group_element(e_2)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.57 fof(f17,plain,(
% 0.18/0.57 group_element(e_3)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.57 fof(f18,plain,(
% 0.18/0.57 ~equalish(e_1,e_2)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.57 fof(f19,plain,(
% 0.18/0.57 ~equalish(e_1,e_3)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f5])).
% 0.18/0.57 fof(f20,plain,(
% 0.18/0.57 ~equalish(e_2,e_1)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.57 fof(f21,plain,(
% 0.18/0.57 ~equalish(e_2,e_3)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f7])).
% 0.18/0.57 fof(f22,plain,(
% 0.18/0.57 ~equalish(e_3,e_1)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f8])).
% 0.18/0.57 fof(f23,plain,(
% 0.18/0.57 ~equalish(e_3,e_2)),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f9])).
% 0.18/0.57 fof(f24,plain,(
% 0.18/0.57 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f10])).
% 0.18/0.57 fof(f25,plain,(
% 0.18/0.57 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.18/0.57 inference(miniscoping,[status(thm)],[f11])).
% 0.18/0.57 fof(f26,plain,(
% 0.18/0.57 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f25])).
% 0.18/0.57 fof(f27,plain,(
% 0.18/0.57 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.18/0.57 inference(miniscoping,[status(thm)],[f12])).
% 0.18/0.57 fof(f28,plain,(
% 0.18/0.57 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f27])).
% 0.18/0.57 fof(f29,plain,(
% 0.18/0.57 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.18/0.57 inference(miniscoping,[status(thm)],[f13])).
% 0.18/0.57 fof(f30,plain,(
% 0.18/0.57 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f29])).
% 0.18/0.57 fof(f31,plain,(
% 0.18/0.57 ![X,Y,Z2]: ((![Z1]: (~product(X,Y,Z1)|~product(X,Z1,Z2)))|product(Z2,Y,X))),
% 0.18/0.57 inference(miniscoping,[status(thm)],[f14])).
% 0.18/0.57 fof(f32,plain,(
% 0.18/0.57 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X2,X3)|product(X3,X1,X0))),
% 0.18/0.57 inference(cnf_transformation,[status(thm)],[f31])).
% 0.18/0.57 fof(f33,plain,(
% 0.18/0.57 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3))),
% 0.18/0.57 inference(resolution,[status(thm)],[f24,f17])).
% 0.18/0.57 fof(f34,plain,(
% 0.18/0.57 ![X0]: (~group_element(X0)|product(e_2,X0,e_1)|product(e_2,X0,e_2)|product(e_2,X0,e_3))),
% 0.18/0.57 inference(resolution,[status(thm)],[f24,f16])).
% 0.18/0.57 fof(f35,plain,(
% 0.18/0.57 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_2)|product(e_1,X0,e_3))),
% 0.18/0.57 inference(resolution,[status(thm)],[f24,f15])).
% 0.18/0.57 fof(f37,plain,(
% 0.18/0.57 product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3)),
% 0.18/0.57 inference(resolution,[status(thm)],[f33,f16])).
% 0.18/0.57 fof(f38,plain,(
% 0.18/0.57 product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3)),
% 0.18/0.57 inference(resolution,[status(thm)],[f33,f15])).
% 0.18/0.57 fof(f49,definition,(
% 0.18/0.57 sQ3_spl <=> (product(e_3,e_2,e_1))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f50,plain,(
% 0.18/0.57 product(e_3,e_2,e_1)|~sQ3_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f49])).
% 0.18/0.57 fof(f52,definition,(
% 0.18/0.57 sQ4_spl <=> (product(e_3,e_2,e_2))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f53,plain,(
% 0.18/0.57 product(e_3,e_2,e_2)|~sQ4_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f52])).
% 0.18/0.57 fof(f55,definition,(
% 0.18/0.57 sQ5_spl <=> (product(e_3,e_2,e_3))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f56,plain,(
% 0.18/0.57 product(e_3,e_2,e_3)|~sQ5_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f55])).
% 0.18/0.57 fof(f58,plain,(
% 0.18/0.57 sQ3_spl|sQ4_spl|sQ5_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f37,f49,f52,f55])).
% 0.18/0.57 fof(f59,definition,(
% 0.18/0.57 sQ6_spl <=> (product(e_3,e_1,e_1))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f60,plain,(
% 0.18/0.57 product(e_3,e_1,e_1)|~sQ6_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f59])).
% 0.18/0.57 fof(f62,definition,(
% 0.18/0.57 sQ7_spl <=> (product(e_3,e_1,e_2))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f63,plain,(
% 0.18/0.57 product(e_3,e_1,e_2)|~sQ7_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f62])).
% 0.18/0.57 fof(f65,definition,(
% 0.18/0.57 sQ8_spl <=> (product(e_3,e_1,e_3))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f66,plain,(
% 0.18/0.57 product(e_3,e_1,e_3)|~sQ8_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f65])).
% 0.18/0.57 fof(f68,plain,(
% 0.18/0.57 sQ6_spl|sQ7_spl|sQ8_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f38,f59,f62,f65])).
% 0.18/0.57 fof(f76,plain,(
% 0.18/0.57 ![X0]: (~product(e_3,e_2,X0)|product(X0,e_1,e_3)|~sQ7_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f63,f32])).
% 0.18/0.57 fof(f80,plain,(
% 0.18/0.57 ![X0]: (~product(e_3,e_1,X0)|product(X0,e_1,e_3)|~sQ6_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f60,f32])).
% 0.18/0.57 fof(f83,plain,(
% 0.18/0.57 product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)),
% 0.18/0.57 inference(resolution,[status(thm)],[f34,f15])).
% 0.18/0.57 fof(f94,definition,(
% 0.18/0.57 sQ12_spl <=> (product(e_2,e_2,e_1))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f95,plain,(
% 0.18/0.57 product(e_2,e_2,e_1)|~sQ12_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f94])).
% 0.18/0.57 fof(f97,definition,(
% 0.18/0.57 sQ13_spl <=> (product(e_2,e_2,e_2))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f98,plain,(
% 0.18/0.57 product(e_2,e_2,e_2)|~sQ13_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f97])).
% 0.18/0.57 fof(f104,definition,(
% 0.18/0.57 sQ15_spl <=> (product(e_2,e_1,e_1))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f105,plain,(
% 0.18/0.57 product(e_2,e_1,e_1)|~sQ15_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f104])).
% 0.18/0.57 fof(f107,definition,(
% 0.18/0.57 sQ16_spl <=> (product(e_2,e_1,e_2))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f108,plain,(
% 0.18/0.57 product(e_2,e_1,e_2)|~sQ16_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f107])).
% 0.18/0.57 fof(f110,definition,(
% 0.18/0.57 sQ17_spl <=> (product(e_2,e_1,e_3))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f111,plain,(
% 0.18/0.57 product(e_2,e_1,e_3)|~sQ17_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f110])).
% 0.18/0.57 fof(f113,plain,(
% 0.18/0.57 sQ15_spl|sQ16_spl|sQ17_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f83,f104,f107,f110])).
% 0.18/0.57 fof(f114,plain,(
% 0.18/0.57 product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)),
% 0.18/0.57 inference(resolution,[status(thm)],[f35,f17])).
% 0.18/0.57 fof(f115,plain,(
% 0.18/0.57 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)),
% 0.18/0.57 inference(resolution,[status(thm)],[f35,f16])).
% 0.18/0.57 fof(f116,plain,(
% 0.18/0.57 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)),
% 0.18/0.57 inference(resolution,[status(thm)],[f35,f15])).
% 0.18/0.57 fof(f117,definition,(
% 0.18/0.57 sQ18_spl <=> (product(e_1,e_3,e_1))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f118,plain,(
% 0.18/0.57 product(e_1,e_3,e_1)|~sQ18_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f117])).
% 0.18/0.57 fof(f120,definition,(
% 0.18/0.57 sQ19_spl <=> (product(e_1,e_3,e_2))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f121,plain,(
% 0.18/0.57 product(e_1,e_3,e_2)|~sQ19_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f120])).
% 0.18/0.57 fof(f123,definition,(
% 0.18/0.57 sQ20_spl <=> (product(e_1,e_3,e_3))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f124,plain,(
% 0.18/0.57 product(e_1,e_3,e_3)|~sQ20_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f123])).
% 0.18/0.57 fof(f126,plain,(
% 0.18/0.57 sQ18_spl|sQ19_spl|sQ20_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f114,f117,f120,f123])).
% 0.18/0.57 fof(f127,definition,(
% 0.18/0.57 sQ21_spl <=> (product(e_1,e_2,e_1))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f128,plain,(
% 0.18/0.57 product(e_1,e_2,e_1)|~sQ21_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f127])).
% 0.18/0.57 fof(f130,definition,(
% 0.18/0.57 sQ22_spl <=> (product(e_1,e_2,e_2))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f131,plain,(
% 0.18/0.57 product(e_1,e_2,e_2)|~sQ22_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f130])).
% 0.18/0.57 fof(f133,definition,(
% 0.18/0.57 sQ23_spl <=> (product(e_1,e_2,e_3))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f134,plain,(
% 0.18/0.57 product(e_1,e_2,e_3)|~sQ23_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f133])).
% 0.18/0.57 fof(f136,plain,(
% 0.18/0.57 sQ21_spl|sQ22_spl|sQ23_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f115,f127,f130,f133])).
% 0.18/0.57 fof(f137,definition,(
% 0.18/0.57 sQ24_spl <=> (product(e_1,e_1,e_1))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f138,plain,(
% 0.18/0.57 product(e_1,e_1,e_1)|~sQ24_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f137])).
% 0.18/0.57 fof(f140,definition,(
% 0.18/0.57 sQ25_spl <=> (product(e_1,e_1,e_2))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f141,plain,(
% 0.18/0.57 product(e_1,e_1,e_2)|~sQ25_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f140])).
% 0.18/0.57 fof(f142,plain,(
% 0.18/0.57 ~product(e_1,e_1,e_2)|sQ25_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f140])).
% 0.18/0.57 fof(f143,definition,(
% 0.18/0.57 sQ26_spl <=> (product(e_1,e_1,e_3))),
% 0.18/0.57 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.18/0.57 fof(f144,plain,(
% 0.18/0.57 product(e_1,e_1,e_3)|~sQ26_spl),
% 0.18/0.57 inference(component_clause,[status(thm)],[f143])).
% 0.18/0.57 fof(f146,plain,(
% 0.18/0.57 sQ24_spl|sQ25_spl|sQ26_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f116,f137,f140,f143])).
% 0.18/0.57 fof(f147,plain,(
% 0.18/0.57 product(e_1,e_1,e_3)|~sQ6_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f80,f60])).
% 0.18/0.57 fof(f151,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,X0,e_3)|equalish(e_1,X0)|~sQ6_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f147,f28])).
% 0.18/0.57 fof(f152,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,e_1,X0)|equalish(e_3,X0)|~sQ6_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f147,f26])).
% 0.18/0.57 fof(f170,plain,(
% 0.18/0.57 ![X0]: (~product(e_3,e_2,X0)|product(X0,e_2,e_3)|~sQ4_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f53,f32])).
% 0.18/0.57 fof(f171,plain,(
% 0.18/0.57 product(e_2,e_2,e_3)|~sQ4_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f170,f53])).
% 0.18/0.57 fof(f173,plain,(
% 0.18/0.57 ![X0]: (~product(X0,e_2,e_3)|equalish(e_2,X0)|~sQ4_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f171,f30])).
% 0.18/0.57 fof(f174,plain,(
% 0.18/0.57 ![X0]: (~product(e_2,X0,e_3)|equalish(e_2,X0)|~sQ4_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f171,f28])).
% 0.18/0.57 fof(f178,plain,(
% 0.18/0.57 equalish(e_2,e_3)|~sQ4_spl|~sQ5_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f173,f56])).
% 0.18/0.57 fof(f179,plain,(
% 0.18/0.57 $false|~sQ4_spl|~sQ5_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f178,f21])).
% 0.18/0.57 fof(f180,plain,(
% 0.18/0.57 ~sQ4_spl|~sQ5_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f179])).
% 0.18/0.57 fof(f184,plain,(
% 0.18/0.57 ![X0]: (~product(e_3,e_1,X0)|product(X0,e_2,e_3)|~sQ3_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f50,f32])).
% 0.18/0.57 fof(f185,plain,(
% 0.18/0.57 product(e_3,e_2,e_3)|~sQ3_spl|~sQ8_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f184,f66])).
% 0.18/0.57 fof(f187,plain,(
% 0.18/0.57 ![X0]: (~product(e_3,X0,e_3)|equalish(e_2,X0)|~sQ3_spl|~sQ8_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f185,f28])).
% 0.18/0.57 fof(f192,plain,(
% 0.18/0.57 equalish(e_2,e_1)|~sQ3_spl|~sQ8_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f187,f66])).
% 0.18/0.57 fof(f193,plain,(
% 0.18/0.57 $false|~sQ3_spl|~sQ8_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f192,f20])).
% 0.18/0.57 fof(f194,plain,(
% 0.18/0.57 ~sQ3_spl|~sQ8_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f193])).
% 0.18/0.57 fof(f207,plain,(
% 0.18/0.57 equalish(e_2,e_1)|~sQ17_spl|~sQ4_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f111,f174])).
% 0.18/0.57 fof(f212,plain,(
% 0.18/0.57 $false|~sQ17_spl|~sQ4_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f207,f20])).
% 0.18/0.57 fof(f213,plain,(
% 0.18/0.57 ~sQ17_spl|~sQ4_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f212])).
% 0.18/0.57 fof(f228,plain,(
% 0.18/0.57 ![X0]: (~product(e_2,e_1,X0)|product(X0,e_1,e_2)|~sQ15_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f105,f32])).
% 0.18/0.57 fof(f229,plain,(
% 0.18/0.57 product(e_1,e_1,e_2)|~sQ15_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f228,f105])).
% 0.18/0.57 fof(f231,plain,(
% 0.18/0.57 equalish(e_3,e_2)|~sQ15_spl|~sQ6_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f229,f152])).
% 0.18/0.57 fof(f233,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,X0,e_2)|equalish(e_1,X0)|~sQ15_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f229,f28])).
% 0.18/0.57 fof(f236,plain,(
% 0.18/0.57 $false|~sQ15_spl|~sQ6_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f231,f23])).
% 0.18/0.57 fof(f237,plain,(
% 0.18/0.57 ~sQ15_spl|~sQ6_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f236])).
% 0.18/0.57 fof(f256,plain,(
% 0.18/0.57 ![X0]: (~product(e_2,e_2,X0)|product(X0,e_2,e_2)|~sQ13_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f98,f32])).
% 0.18/0.57 fof(f258,plain,(
% 0.18/0.57 product(e_1,e_2,e_2)|~sQ12_spl|~sQ13_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f95,f256])).
% 0.18/0.57 fof(f263,plain,(
% 0.18/0.57 ![X0]: (~product(e_2,e_1,X0)|product(X0,e_2,e_2)|~sQ12_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f95,f32])).
% 0.18/0.57 fof(f264,plain,(
% 0.18/0.57 product(e_2,e_2,e_2)|~sQ12_spl|~sQ16_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f263,f108])).
% 0.18/0.57 fof(f265,plain,(
% 0.18/0.57 ![X0]: (~product(X0,e_2,e_2)|equalish(e_1,X0)|~sQ12_spl|~sQ13_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f258,f30])).
% 0.18/0.57 fof(f274,plain,(
% 0.18/0.57 equalish(e_1,e_2)|~sQ12_spl|~sQ13_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f265,f98])).
% 0.18/0.57 fof(f275,plain,(
% 0.18/0.57 $false|~sQ12_spl|~sQ13_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f274,f18])).
% 0.18/0.57 fof(f276,plain,(
% 0.18/0.57 ~sQ12_spl|~sQ13_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f275])).
% 0.18/0.57 fof(f306,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,e_3,X0)|product(X0,e_1,e_1)|~sQ26_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f144,f32])).
% 0.18/0.57 fof(f310,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,e_2,X0)|product(X0,e_1,e_1)|~sQ25_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f141,f32])).
% 0.18/0.57 fof(f318,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,e_3,X0)|product(X0,e_2,e_1)|~sQ23_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f134,f32])).
% 0.18/0.57 fof(f322,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,e_2,X0)|product(X0,e_2,e_1)|~sQ22_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f131,f32])).
% 0.18/0.57 fof(f326,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,e_1,X0)|product(X0,e_2,e_1)|~sQ21_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f128,f32])).
% 0.18/0.57 fof(f327,plain,(
% 0.18/0.57 product(e_3,e_1,e_1)|~sQ20_spl|~sQ26_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f124,f306])).
% 0.18/0.57 fof(f332,plain,(
% 0.18/0.57 sQ6_spl|~sQ20_spl|~sQ26_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f327,f59,f123,f143])).
% 0.18/0.57 fof(f333,plain,(
% 0.18/0.57 product(e_2,e_1,e_1)|~sQ19_spl|~sQ26_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f121,f306])).
% 0.18/0.57 fof(f337,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,e_2,X0)|product(X0,e_3,e_1)|~sQ19_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f121,f32])).
% 0.18/0.57 fof(f338,plain,(
% 0.18/0.57 product(e_1,e_1,e_1)|~sQ18_spl|~sQ26_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f118,f306])).
% 0.18/0.57 fof(f342,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,e_1,X0)|product(X0,e_3,e_1)|~sQ18_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f118,f32])).
% 0.18/0.57 fof(f352,plain,(
% 0.18/0.57 product(e_1,e_1,e_1)|~sQ25_spl|~sQ21_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f310,f128])).
% 0.18/0.57 fof(f353,plain,(
% 0.18/0.57 product(e_2,e_1,e_1)|~sQ25_spl|~sQ22_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f310,f131])).
% 0.18/0.57 fof(f354,plain,(
% 0.18/0.57 product(e_3,e_1,e_1)|~sQ25_spl|~sQ23_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f310,f134])).
% 0.18/0.57 fof(f355,plain,(
% 0.18/0.57 sQ6_spl|~sQ25_spl|~sQ23_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f354,f59,f140,f133])).
% 0.18/0.57 fof(f357,plain,(
% 0.18/0.57 product(e_1,e_2,e_1)|~sQ23_spl|~sQ18_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f318,f118])).
% 0.18/0.57 fof(f358,plain,(
% 0.18/0.57 product(e_2,e_2,e_1)|~sQ23_spl|~sQ19_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f318,f121])).
% 0.18/0.57 fof(f359,plain,(
% 0.18/0.57 sQ12_spl|~sQ23_spl|~sQ19_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f358,f94,f133,f120])).
% 0.18/0.57 fof(f361,plain,(
% 0.18/0.57 product(e_2,e_2,e_1)|~sQ22_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f322,f131])).
% 0.18/0.57 fof(f362,plain,(
% 0.18/0.57 sQ12_spl|~sQ22_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f361,f94,f130])).
% 0.18/0.57 fof(f363,plain,(
% 0.18/0.57 sQ13_spl|~sQ12_spl|~sQ16_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f264,f97,f94,f107])).
% 0.18/0.57 fof(f377,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,X0,e_1)|equalish(e_2,X0)|~sQ23_spl|~sQ18_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f357,f28])).
% 0.18/0.57 fof(f382,plain,(
% 0.18/0.57 ![X0]: (~product(e_1,X0,e_1)|equalish(e_1,X0)|~sQ18_spl|~sQ26_spl)),
% 0.18/0.57 inference(resolution,[status(thm)],[f338,f28])).
% 0.18/0.57 fof(f388,plain,(
% 0.18/0.57 sQ15_spl|~sQ19_spl|~sQ26_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f333,f104,f120,f143])).
% 0.18/0.57 fof(f452,plain,(
% 0.18/0.57 $false|~sQ15_spl|sQ25_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f142,f229])).
% 0.18/0.57 fof(f453,plain,(
% 0.18/0.57 ~sQ15_spl|sQ25_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f452])).
% 0.18/0.57 fof(f462,plain,(
% 0.18/0.57 equalish(e_1,e_2)|~sQ23_spl|~sQ6_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f134,f151])).
% 0.18/0.57 fof(f467,plain,(
% 0.18/0.57 $false|~sQ23_spl|~sQ6_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f462,f18])).
% 0.18/0.57 fof(f468,plain,(
% 0.18/0.57 ~sQ23_spl|~sQ6_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f467])).
% 0.18/0.57 fof(f473,plain,(
% 0.18/0.57 product(e_1,e_1,e_3)|~sQ6_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f60,f80])).
% 0.18/0.57 fof(f474,plain,(
% 0.18/0.57 product(e_1,e_2,e_3)|~sQ6_spl|~sQ3_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f60,f184])).
% 0.18/0.57 fof(f479,plain,(
% 0.18/0.57 sQ23_spl|~sQ6_spl|~sQ3_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f474,f133,f59,f49])).
% 0.18/0.57 fof(f483,plain,(
% 0.18/0.57 product(e_1,e_1,e_3)|~sQ7_spl|~sQ3_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f76,f50])).
% 0.18/0.57 fof(f484,plain,(
% 0.18/0.57 sQ26_spl|~sQ7_spl|~sQ3_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f483,f143,f62,f49])).
% 0.18/0.57 fof(f485,plain,(
% 0.18/0.57 sQ24_spl|~sQ25_spl|~sQ21_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f352,f137,f140,f127])).
% 0.18/0.57 fof(f491,plain,(
% 0.18/0.57 product(e_1,e_2,e_2)|~sQ25_spl|~sQ22_spl|~sQ12_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f353,f263])).
% 0.18/0.57 fof(f509,plain,(
% 0.18/0.57 equalish(e_1,e_2)|~sQ15_spl|~sQ25_spl|~sQ22_spl|~sQ12_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f233,f491])).
% 0.18/0.57 fof(f512,plain,(
% 0.18/0.57 $false|~sQ15_spl|~sQ25_spl|~sQ22_spl|~sQ12_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f509,f18])).
% 0.18/0.57 fof(f513,plain,(
% 0.18/0.57 ~sQ15_spl|~sQ25_spl|~sQ22_spl|~sQ12_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f512])).
% 0.18/0.57 fof(f518,plain,(
% 0.18/0.57 product(e_1,e_3,e_1)|~sQ26_spl|~sQ18_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f338,f342])).
% 0.18/0.57 fof(f534,plain,(
% 0.18/0.57 equalish(e_1,e_3)|~sQ26_spl|~sQ18_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f382,f518])).
% 0.18/0.57 fof(f537,plain,(
% 0.18/0.57 $false|~sQ26_spl|~sQ18_spl),
% 0.18/0.57 inference(forward_subsumption_resolution,[status(thm)],[f534,f19])).
% 0.18/0.57 fof(f538,plain,(
% 0.18/0.57 ~sQ26_spl|~sQ18_spl),
% 0.18/0.57 inference(contradiction_clause,[status(thm)],[f537])).
% 0.18/0.57 fof(f555,plain,(
% 0.18/0.57 product(e_3,e_2,e_1)|~sQ6_spl|~sQ21_spl),
% 0.18/0.57 inference(resolution,[status(thm)],[f473,f326])).
% 0.18/0.57 fof(f560,plain,(
% 0.18/0.57 sQ3_spl|~sQ6_spl|~sQ21_spl),
% 0.18/0.57 inference(split_clause,[status(thm)],[f555,f49,f59,f127])).
% 0.18/0.59 fof(f561,plain,(
% 0.18/0.59 product(e_3,e_1,e_3)|~sQ5_spl|~sQ7_spl),
% 0.18/0.59 inference(resolution,[status(thm)],[f56,f76])).
% 0.18/0.59 fof(f568,plain,(
% 0.18/0.59 ![X0]: (~product(e_3,X0,e_3)|equalish(e_1,X0)|~sQ5_spl|~sQ7_spl)),
% 0.18/0.59 inference(resolution,[status(thm)],[f561,f28])).
% 0.18/0.59 fof(f579,plain,(
% 0.18/0.59 equalish(e_1,e_2)|~sQ7_spl|~sQ5_spl),
% 0.18/0.59 inference(resolution,[status(thm)],[f568,f56])).
% 0.18/0.59 fof(f582,plain,(
% 0.18/0.59 $false|~sQ7_spl|~sQ5_spl),
% 0.18/0.59 inference(forward_subsumption_resolution,[status(thm)],[f579,f18])).
% 0.18/0.59 fof(f583,plain,(
% 0.18/0.59 ~sQ7_spl|~sQ5_spl),
% 0.18/0.59 inference(contradiction_clause,[status(thm)],[f582])).
% 0.18/0.59 fof(f589,plain,(
% 0.18/0.59 ![X0]: (~product(X0,e_1,e_3)|equalish(e_1,X0)|~sQ6_spl)),
% 0.18/0.59 inference(resolution,[status(thm)],[f473,f30])).
% 0.18/0.59 fof(f608,plain,(
% 0.18/0.59 equalish(e_2,e_3)|~sQ23_spl|~sQ18_spl),
% 0.18/0.59 inference(resolution,[status(thm)],[f118,f377])).
% 0.18/0.59 fof(f613,plain,(
% 0.18/0.59 $false|~sQ23_spl|~sQ18_spl),
% 0.18/0.59 inference(forward_subsumption_resolution,[status(thm)],[f608,f21])).
% 0.18/0.59 fof(f614,plain,(
% 0.18/0.59 ~sQ23_spl|~sQ18_spl),
% 0.18/0.59 inference(contradiction_clause,[status(thm)],[f613])).
% 0.18/0.59 fof(f631,plain,(
% 0.18/0.59 product(e_1,e_2,e_1)|~sQ24_spl|~sQ21_spl),
% 0.18/0.59 inference(resolution,[status(thm)],[f138,f326])).
% 0.18/0.59 fof(f639,plain,(
% 0.18/0.59 ![X0]: (~product(e_1,X0,e_1)|equalish(e_2,X0)|~sQ24_spl|~sQ21_spl)),
% 0.18/0.59 inference(resolution,[status(thm)],[f631,f28])).
% 0.18/0.59 fof(f654,plain,(
% 0.18/0.59 product(e_2,e_2,e_1)|~sQ22_spl),
% 0.18/0.59 inference(resolution,[status(thm)],[f131,f322])).
% 0.18/0.59 fof(f655,plain,(
% 0.18/0.59 product(e_2,e_3,e_1)|~sQ22_spl|~sQ19_spl),
% 0.18/0.59 inference(resolution,[status(thm)],[f131,f337])).
% 0.18/0.59 fof(f661,plain,(
% 0.18/0.59 ![X0]: (~product(e_2,X0,e_1)|equalish(e_2,X0)|~sQ22_spl)),
% 0.18/0.59 inference(resolution,[status(thm)],[f654,f28])).
% 0.18/0.59 fof(f670,plain,(
% 0.18/0.59 equalish(e_2,e_3)|~sQ22_spl|~sQ19_spl),
% 0.18/0.59 inference(resolution,[status(thm)],[f661,f655])).
% 0.18/0.59 fof(f672,plain,(
% 0.18/0.59 $false|~sQ22_spl|~sQ19_spl),
% 0.18/0.59 inference(forward_subsumption_resolution,[status(thm)],[f670,f21])).
% 0.18/0.59 fof(f673,plain,(
% 0.18/0.59 ~sQ22_spl|~sQ19_spl),
% 0.18/0.59 inference(contradiction_clause,[status(thm)],[f672])).
% 0.18/0.59 fof(f675,plain,(
% 0.18/0.59 product(e_1,e_3,e_1)|~sQ18_spl|~sQ24_spl),
% 0.18/0.59 inference(resolution,[status(thm)],[f342,f138])).
% 0.18/0.60 fof(f681,plain,(
% 0.18/0.60 ![X0]: (~product(e_1,X0,e_1)|equalish(e_3,X0)|~sQ18_spl|~sQ24_spl)),
% 0.18/0.60 inference(resolution,[status(thm)],[f675,f28])).
% 0.18/0.60 fof(f687,plain,(
% 0.18/0.60 equalish(e_2,e_1)|~sQ21_spl|~sQ24_spl),
% 0.18/0.60 inference(resolution,[status(thm)],[f639,f138])).
% 0.18/0.60 fof(f701,plain,(
% 0.18/0.60 equalish(e_3,e_1)|~sQ18_spl|~sQ24_spl),
% 0.18/0.60 inference(resolution,[status(thm)],[f681,f138])).
% 0.18/0.60 fof(f702,plain,(
% 0.18/0.60 $false|~sQ18_spl|~sQ24_spl),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f701,f22])).
% 0.18/0.60 fof(f703,plain,(
% 0.18/0.60 ~sQ18_spl|~sQ24_spl),
% 0.18/0.60 inference(contradiction_clause,[status(thm)],[f702])).
% 0.18/0.60 fof(f715,plain,(
% 0.18/0.60 product(e_3,e_2,e_2)|~sQ17_spl|~sQ12_spl),
% 0.18/0.60 inference(resolution,[status(thm)],[f111,f263])).
% 0.18/0.60 fof(f716,plain,(
% 0.18/0.60 equalish(e_1,e_2)|~sQ17_spl|~sQ6_spl),
% 0.18/0.60 inference(resolution,[status(thm)],[f111,f589])).
% 0.18/0.60 fof(f722,plain,(
% 0.18/0.60 sQ4_spl|~sQ17_spl|~sQ12_spl),
% 0.18/0.60 inference(split_clause,[status(thm)],[f715,f52,f110,f94])).
% 0.18/0.60 fof(f723,plain,(
% 0.18/0.60 $false|~sQ17_spl|~sQ6_spl),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f716,f18])).
% 0.18/0.60 fof(f724,plain,(
% 0.18/0.60 ~sQ17_spl|~sQ6_spl),
% 0.18/0.60 inference(contradiction_clause,[status(thm)],[f723])).
% 0.18/0.60 fof(f725,plain,(
% 0.18/0.60 product(e_3,e_2,e_1)|~sQ20_spl|~sQ23_spl),
% 0.18/0.60 inference(resolution,[status(thm)],[f124,f318])).
% 0.18/0.60 fof(f731,plain,(
% 0.18/0.60 sQ3_spl|~sQ20_spl|~sQ23_spl),
% 0.18/0.60 inference(split_clause,[status(thm)],[f725,f49,f123,f133])).
% 0.18/0.60 fof(f732,plain,(
% 0.18/0.60 $false|~sQ21_spl|~sQ24_spl),
% 0.18/0.60 inference(forward_subsumption_resolution,[status(thm)],[f687,f20])).
% 0.18/0.60 fof(f733,plain,(
% 0.18/0.60 ~sQ21_spl|~sQ24_spl),
% 0.18/0.60 inference(contradiction_clause,[status(thm)],[f732])).
% 0.18/0.60 fof(f734,plain,(
% 0.18/0.60 $false),
% 0.18/0.60 inference(sat_refutation,[status(thm)],[f58,f68,f113,f126,f136,f146,f180,f194,f213,f237,f276,f332,f355,f359,f362,f363,f388,f453,f468,f479,f484,f485,f513,f538,f560,f583,f614,f673,f703,f722,f724,f731,f733])).
% 0.18/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.48/0.61 % Elapsed time: 0.151450 seconds
% 0.48/0.61 % CPU time: 0.704459 seconds
% 0.48/0.61 % Total memory used: 19.388 MB
% 0.48/0.61 % Net memory used: 19.165 MB
%------------------------------------------------------------------------------