%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP123-7.003 : 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 : n003.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 12:35:43 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP123-7.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.66 % Computer : n003.cluster.edu
% 0.17/0.66 % Model : x86_64 x86_64
% 0.17/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.66 % Memory : 8046.5625MB
% 0.17/0.66 % OS : Linux 6.8.0-71-generic
% 0.17/0.66 % CPULimit : 300
% 0.17/0.66 % WCLimit : 300
% 0.17/0.66 % DateTime : Sun Sep 20 20:00:00 UTC 2026
% 0.17/0.66 % CPUTime :
% 0.17/0.69 % Drodi V4.1.1
% 0.17/0.69 % Refutation found
% 0.17/0.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.69 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.69 fof(f7,axiom,(
% 0.17/0.69 group_element(e_1) ),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f8,axiom,(
% 0.17/0.69 group_element(e_2) ),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f9,axiom,(
% 0.17/0.69 group_element(e_3) ),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f10,axiom,(
% 0.17/0.69 ~ equalish(e_1,e_2) ),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f11,axiom,(
% 0.17/0.69 ~ equalish(e_1,e_3) ),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f13,axiom,(
% 0.17/0.69 ~ equalish(e_2,e_3) ),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f16,axiom,(
% 0.17/0.69 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product1(X,Y,e_1)| product1(X,Y,e_2)| product1(X,Y,e_3) ) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f17,axiom,(
% 0.17/0.69 (![X,Y,W,Z]: (( ~ product1(X,Y,W)| ~ product1(X,Y,Z)| equalish(W,Z) ) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f18,axiom,(
% 0.17/0.69 (![X,W,Y,Z]: (( ~ product1(X,W,Y)| ~ product1(X,Z,Y)| equalish(W,Z) ) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f19,axiom,(
% 0.17/0.69 (![W,Y,X,Z]: (( ~ product1(W,Y,X)| ~ product1(Z,Y,X)| equalish(W,Z) ) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f20,axiom,(
% 0.17/0.69 (![X]: (product1(X,X,X) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f22,axiom,(
% 0.17/0.69 (![X,Y,W,Z]: (( ~ product2(X,Y,W)| ~ product2(X,Y,Z)| equalish(W,Z) ) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f23,axiom,(
% 0.17/0.69 (![X,W,Y,Z]: (( ~ product2(X,W,Y)| ~ product2(X,Z,Y)| equalish(W,Z) ) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f25,axiom,(
% 0.17/0.69 (![X]: (product2(X,X,X) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f26,negated_conjecture,(
% 0.17/0.69 (![X,Y,Z1,Z2]: (( ~ product1(X,Y,Z1)| ~ product1(Z1,Y,Z2)| product2(Z2,X,Y) ) ))),
% 0.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.69 fof(f34,plain,(
% 0.17/0.69 group_element(e_1)),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.69 fof(f35,plain,(
% 0.17/0.69 group_element(e_2)),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/0.69 fof(f36,plain,(
% 0.17/0.69 group_element(e_3)),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.69 fof(f37,plain,(
% 0.17/0.69 ~equalish(e_1,e_2)),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f10])).
% 0.17/0.69 fof(f38,plain,(
% 0.17/0.69 ~equalish(e_1,e_3)),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f11])).
% 0.17/0.69 fof(f40,plain,(
% 0.17/0.69 ~equalish(e_2,e_3)),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/0.69 fof(f43,plain,(
% 0.17/0.69 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product1(X0,X1,e_1)|product1(X0,X1,e_2)|product1(X0,X1,e_3))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f16])).
% 0.17/0.69 fof(f44,plain,(
% 0.17/0.69 ![W,Z]: ((![X,Y]: (~product1(X,Y,W)|~product1(X,Y,Z)))|equalish(W,Z))),
% 0.17/0.69 inference(miniscoping,[status(thm)],[f17])).
% 0.17/0.69 fof(f45,plain,(
% 0.17/0.69 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X0,X1,X3)|equalish(X2,X3))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f44])).
% 0.17/0.69 fof(f46,plain,(
% 0.17/0.69 ![W,Z]: ((![X,Y]: (~product1(X,W,Y)|~product1(X,Z,Y)))|equalish(W,Z))),
% 0.17/0.69 inference(miniscoping,[status(thm)],[f18])).
% 0.17/0.69 fof(f47,plain,(
% 0.17/0.69 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X0,X3,X2)|equalish(X1,X3))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f46])).
% 0.17/0.69 fof(f48,plain,(
% 0.17/0.69 ![W,Z]: ((![Y,X]: (~product1(W,Y,X)|~product1(Z,Y,X)))|equalish(W,Z))),
% 0.17/0.69 inference(miniscoping,[status(thm)],[f19])).
% 0.17/0.69 fof(f49,plain,(
% 0.17/0.69 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X3,X1,X2)|equalish(X0,X3))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f48])).
% 0.17/0.69 fof(f50,plain,(
% 0.17/0.69 ![X0]: (product1(X0,X0,X0))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f20])).
% 0.17/0.69 fof(f52,plain,(
% 0.17/0.69 ![W,Z]: ((![X,Y]: (~product2(X,Y,W)|~product2(X,Y,Z)))|equalish(W,Z))),
% 0.17/0.69 inference(miniscoping,[status(thm)],[f22])).
% 0.17/0.69 fof(f53,plain,(
% 0.17/0.69 ![X0,X1,X2,X3]: (~product2(X0,X1,X2)|~product2(X0,X1,X3)|equalish(X2,X3))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f52])).
% 0.17/0.69 fof(f54,plain,(
% 0.17/0.69 ![W,Z]: ((![X,Y]: (~product2(X,W,Y)|~product2(X,Z,Y)))|equalish(W,Z))),
% 0.17/0.69 inference(miniscoping,[status(thm)],[f23])).
% 0.17/0.69 fof(f55,plain,(
% 0.17/0.69 ![X0,X1,X2,X3]: (~product2(X0,X1,X2)|~product2(X0,X3,X2)|equalish(X1,X3))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f54])).
% 0.17/0.69 fof(f58,plain,(
% 0.17/0.69 ![X0]: (product2(X0,X0,X0))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f25])).
% 0.17/0.69 fof(f59,plain,(
% 0.17/0.69 ![X,Y,Z2]: ((![Z1]: (~product1(X,Y,Z1)|~product1(Z1,Y,Z2)))|product2(Z2,X,Y))),
% 0.17/0.69 inference(miniscoping,[status(thm)],[f26])).
% 0.17/0.69 fof(f60,plain,(
% 0.17/0.69 ![X0,X1,X2,X3]: (~product1(X0,X1,X2)|~product1(X2,X1,X3)|product2(X3,X0,X1))),
% 0.17/0.69 inference(cnf_transformation,[status(thm)],[f59])).
% 0.17/0.69 fof(f66,plain,(
% 0.17/0.69 ![X0,X1]: (~product1(e_1,X0,X1)|~product1(e_2,X0,X1))),
% 0.17/0.69 inference(resolution,[status(thm)],[f37,f49])).
% 0.17/0.69 fof(f67,plain,(
% 0.17/0.69 ![X0,X1]: (~product1(X0,e_1,X1)|~product1(X0,e_2,X1))),
% 0.17/0.69 inference(resolution,[status(thm)],[f37,f47])).
% 0.17/0.69 fof(f68,plain,(
% 0.17/0.69 ![X0,X1]: (~product1(X0,X1,e_1)|~product1(X0,X1,e_2))),
% 0.17/0.69 inference(resolution,[status(thm)],[f37,f45])).
% 0.17/0.69 fof(f70,plain,(
% 0.17/0.69 ![X0,X1]: (~product2(X0,e_1,X1)|~product2(X0,e_3,X1))),
% 0.17/0.69 inference(resolution,[status(thm)],[f38,f55])).
% 0.17/0.69 fof(f72,plain,(
% 0.17/0.69 ![X0,X1]: (~product1(e_1,X0,X1)|~product1(e_3,X0,X1))),
% 0.17/0.69 inference(resolution,[status(thm)],[f38,f49])).
% 0.17/0.69 fof(f73,plain,(
% 0.17/0.69 ![X0,X1]: (~product1(X0,e_1,X1)|~product1(X0,e_3,X1))),
% 0.17/0.69 inference(resolution,[status(thm)],[f38,f47])).
% 0.17/0.69 fof(f74,plain,(
% 0.17/0.69 ![X0,X1]: (~product1(X0,X1,e_1)|~product1(X0,X1,e_3))),
% 0.17/0.69 inference(resolution,[status(thm)],[f38,f45])).
% 0.17/0.69 fof(f82,plain,(
% 0.17/0.69 ![X0,X1]: (~product2(X0,e_2,X1)|~product2(X0,e_3,X1))),
% 0.17/0.69 inference(resolution,[status(thm)],[f40,f55])).
% 0.17/0.69 fof(f83,plain,(
% 0.17/0.69 ![X0,X1]: (~product2(X0,X1,e_2)|~product2(X0,X1,e_3))),
% 0.17/0.69 inference(resolution,[status(thm)],[f40,f53])).
% 0.17/0.69 fof(f84,plain,(
% 0.17/0.69 ![X0,X1]: (~product1(e_2,X0,X1)|~product1(e_3,X0,X1))),
% 0.17/0.69 inference(resolution,[status(thm)],[f40,f49])).
% 0.17/0.69 fof(f85,plain,(
% 0.17/0.69 ![X0,X1]: (~product1(X0,e_2,X1)|~product1(X0,e_3,X1))),
% 0.17/0.69 inference(resolution,[status(thm)],[f40,f47])).
% 0.17/0.69 fof(f86,plain,(
% 0.17/0.69 ![X0,X1]: (~product1(X0,X1,e_2)|~product1(X0,X1,e_3))),
% 0.17/0.69 inference(resolution,[status(thm)],[f40,f45])).
% 0.17/0.69 fof(f96,plain,(
% 0.17/0.69 ~product1(e_2,e_1,e_1)),
% 0.17/0.69 inference(resolution,[status(thm)],[f66,f50])).
% 0.17/0.69 fof(f97,plain,(
% 0.17/0.69 ~product1(e_1,e_2,e_1)),
% 0.17/0.69 inference(resolution,[status(thm)],[f67,f50])).
% 0.17/0.69 fof(f98,plain,(
% 0.17/0.69 ~product1(e_1,e_1,e_2)),
% 0.17/0.69 inference(resolution,[status(thm)],[f68,f50])).
% 0.17/0.69 fof(f106,plain,(
% 0.17/0.69 ~product2(e_1,e_3,e_1)),
% 0.17/0.69 inference(resolution,[status(thm)],[f70,f58])).
% 0.17/0.69 fof(f108,plain,(
% 0.17/0.69 ~product1(e_3,e_1,e_1)),
% 0.17/0.69 inference(resolution,[status(thm)],[f72,f50])).
% 0.17/0.69 fof(f109,plain,(
% 0.17/0.69 ![X0]: (~group_element(X0)|product1(X0,e_3,e_1)|product1(X0,e_3,e_2)|product1(X0,e_3,e_3))),
% 0.17/0.69 inference(resolution,[status(thm)],[f43,f36])).
% 0.17/0.69 fof(f115,plain,(
% 0.17/0.69 ~product1(e_1,e_3,e_1)),
% 0.17/0.69 inference(resolution,[status(thm)],[f73,f50])).
% 0.17/0.69 fof(f116,plain,(
% 0.17/0.69 ~product1(e_1,e_1,e_3)),
% 0.17/0.69 inference(resolution,[status(thm)],[f74,f50])).
% 0.17/0.69 fof(f118,plain,(
% 0.17/0.69 ~product2(e_2,e_3,e_2)),
% 0.17/0.69 inference(resolution,[status(thm)],[f82,f58])).
% 0.17/0.70 fof(f119,plain,(
% 0.17/0.70 ~product2(e_2,e_2,e_3)),
% 0.17/0.70 inference(resolution,[status(thm)],[f83,f58])).
% 0.17/0.70 fof(f120,plain,(
% 0.17/0.70 ~product1(e_3,e_2,e_2)),
% 0.17/0.70 inference(resolution,[status(thm)],[f84,f50])).
% 0.17/0.70 fof(f121,plain,(
% 0.17/0.70 ~product1(e_2,e_3,e_2)),
% 0.17/0.70 inference(resolution,[status(thm)],[f85,f50])).
% 0.17/0.70 fof(f122,plain,(
% 0.17/0.70 ~product1(e_2,e_2,e_3)),
% 0.17/0.70 inference(resolution,[status(thm)],[f86,f50])).
% 0.17/0.70 fof(f124,plain,(
% 0.17/0.70 product1(e_2,e_3,e_1)|product1(e_2,e_3,e_2)|product1(e_2,e_3,e_3)),
% 0.17/0.70 inference(resolution,[status(thm)],[f109,f35])).
% 0.17/0.70 fof(f125,plain,(
% 0.17/0.70 product1(e_1,e_3,e_1)|product1(e_1,e_3,e_2)|product1(e_1,e_3,e_3)),
% 0.17/0.70 inference(resolution,[status(thm)],[f109,f34])).
% 0.17/0.70 fof(f136,definition,(
% 0.17/0.70 sQ3_spl <=> (product1(e_2,e_3,e_1))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f137,plain,(
% 0.17/0.70 product1(e_2,e_3,e_1)|~sQ3_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f136])).
% 0.17/0.70 fof(f139,definition,(
% 0.17/0.70 sQ4_spl <=> (product1(e_2,e_3,e_2))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f140,plain,(
% 0.17/0.70 product1(e_2,e_3,e_2)|~sQ4_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f139])).
% 0.17/0.70 fof(f142,definition,(
% 0.17/0.70 sQ5_spl <=> (product1(e_2,e_3,e_3))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f143,plain,(
% 0.17/0.70 product1(e_2,e_3,e_3)|~sQ5_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f142])).
% 0.17/0.70 fof(f145,plain,(
% 0.17/0.70 sQ3_spl|sQ4_spl|sQ5_spl),
% 0.17/0.70 inference(split_clause,[status(thm)],[f124,f136,f139,f142])).
% 0.17/0.70 fof(f146,definition,(
% 0.17/0.70 sQ6_spl <=> (product1(e_1,e_3,e_1))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f147,plain,(
% 0.17/0.70 product1(e_1,e_3,e_1)|~sQ6_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f146])).
% 0.17/0.70 fof(f149,definition,(
% 0.17/0.70 sQ7_spl <=> (product1(e_1,e_3,e_2))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f150,plain,(
% 0.17/0.70 product1(e_1,e_3,e_2)|~sQ7_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f149])).
% 0.17/0.70 fof(f152,definition,(
% 0.17/0.70 sQ8_spl <=> (product1(e_1,e_3,e_3))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f153,plain,(
% 0.17/0.70 product1(e_1,e_3,e_3)|~sQ8_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f152])).
% 0.17/0.70 fof(f155,plain,(
% 0.17/0.70 sQ6_spl|sQ7_spl|sQ8_spl),
% 0.17/0.70 inference(split_clause,[status(thm)],[f125,f146,f149,f152])).
% 0.17/0.70 fof(f156,plain,(
% 0.17/0.70 $false|~sQ6_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f147,f115])).
% 0.17/0.70 fof(f157,plain,(
% 0.17/0.70 ~sQ6_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f156])).
% 0.17/0.70 fof(f158,plain,(
% 0.17/0.70 $false|~sQ4_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f140,f121])).
% 0.17/0.70 fof(f159,plain,(
% 0.17/0.70 ~sQ4_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f158])).
% 0.17/0.70 fof(f160,plain,(
% 0.17/0.70 ~product1(e_3,e_3,e_3)|~sQ8_spl),
% 0.17/0.70 inference(resolution,[status(thm)],[f153,f72])).
% 0.17/0.70 fof(f164,plain,(
% 0.17/0.70 $false|~sQ8_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f160,f50])).
% 0.17/0.70 fof(f165,plain,(
% 0.17/0.70 ~sQ8_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f164])).
% 0.17/0.70 fof(f169,plain,(
% 0.17/0.70 ![X0]: (~product1(X0,e_3,e_1)|product2(e_2,X0,e_3)|~sQ7_spl)),
% 0.17/0.70 inference(resolution,[status(thm)],[f150,f60])).
% 0.17/0.70 fof(f170,plain,(
% 0.17/0.70 ~product1(e_3,e_3,e_3)|~sQ5_spl),
% 0.17/0.70 inference(resolution,[status(thm)],[f143,f84])).
% 0.17/0.70 fof(f173,plain,(
% 0.17/0.70 $false|~sQ5_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f170,f50])).
% 0.17/0.70 fof(f174,plain,(
% 0.17/0.70 ~sQ5_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f173])).
% 0.17/0.70 fof(f185,definition,(
% 0.17/0.70 sQ10_spl <=> (product1(e_3,e_2,e_2))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f186,plain,(
% 0.17/0.70 product1(e_3,e_2,e_2)|~sQ10_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f185])).
% 0.17/0.70 fof(f198,definition,(
% 0.17/0.70 sQ14_spl <=> (product1(e_2,e_2,e_3))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f199,plain,(
% 0.17/0.70 product1(e_2,e_2,e_3)|~sQ14_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f198])).
% 0.17/0.70 fof(f202,definition,(
% 0.17/0.70 sQ15_spl <=> (product1(e_1,e_2,e_1))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f203,plain,(
% 0.17/0.70 product1(e_1,e_2,e_1)|~sQ15_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f202])).
% 0.17/0.70 fof(f212,plain,(
% 0.17/0.70 $false|~sQ15_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f203,f97])).
% 0.17/0.70 fof(f213,plain,(
% 0.17/0.70 ~sQ15_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f212])).
% 0.17/0.70 fof(f214,plain,(
% 0.17/0.70 $false|~sQ14_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f199,f122])).
% 0.17/0.70 fof(f215,plain,(
% 0.17/0.70 ~sQ14_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f214])).
% 0.17/0.70 fof(f216,plain,(
% 0.17/0.70 $false|~sQ10_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f186,f120])).
% 0.17/0.70 fof(f217,plain,(
% 0.17/0.70 ~sQ10_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f216])).
% 0.17/0.70 fof(f221,definition,(
% 0.17/0.70 sQ18_spl <=> (product1(e_3,e_1,e_1))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f222,plain,(
% 0.17/0.70 product1(e_3,e_1,e_1)|~sQ18_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f221])).
% 0.17/0.70 fof(f231,definition,(
% 0.17/0.70 sQ21_spl <=> (product1(e_2,e_1,e_1))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f232,plain,(
% 0.17/0.70 product1(e_2,e_1,e_1)|~sQ21_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f231])).
% 0.17/0.70 fof(f244,definition,(
% 0.17/0.70 sQ25_spl <=> (product1(e_1,e_1,e_2))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f245,plain,(
% 0.17/0.70 product1(e_1,e_1,e_2)|~sQ25_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f244])).
% 0.17/0.70 fof(f247,definition,(
% 0.17/0.70 sQ26_spl <=> (product1(e_1,e_1,e_3))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f248,plain,(
% 0.17/0.70 product1(e_1,e_1,e_3)|~sQ26_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f247])).
% 0.17/0.70 fof(f251,plain,(
% 0.17/0.70 $false|~sQ26_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f248,f116])).
% 0.17/0.70 fof(f252,plain,(
% 0.17/0.70 ~sQ26_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f251])).
% 0.17/0.70 fof(f253,plain,(
% 0.17/0.70 $false|~sQ25_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f245,f98])).
% 0.17/0.70 fof(f254,plain,(
% 0.17/0.70 ~sQ25_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f253])).
% 0.17/0.70 fof(f255,plain,(
% 0.17/0.70 $false|~sQ21_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f232,f96])).
% 0.17/0.70 fof(f256,plain,(
% 0.17/0.70 ~sQ21_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f255])).
% 0.17/0.70 fof(f257,plain,(
% 0.17/0.70 $false|~sQ18_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f222,f108])).
% 0.17/0.70 fof(f258,plain,(
% 0.17/0.70 ~sQ18_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f257])).
% 0.17/0.70 fof(f275,definition,(
% 0.17/0.70 sQ31_spl <=> (product2(e_2,e_3,e_2))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f276,plain,(
% 0.17/0.70 product2(e_2,e_3,e_2)|~sQ31_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f275])).
% 0.17/0.70 fof(f282,definition,(
% 0.17/0.70 sQ33_spl <=> (product2(e_1,e_3,e_1))),
% 0.17/0.70 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.17/0.70 fof(f283,plain,(
% 0.17/0.70 product2(e_1,e_3,e_1)|~sQ33_spl),
% 0.17/0.70 inference(component_clause,[status(thm)],[f282])).
% 0.17/0.70 fof(f292,plain,(
% 0.17/0.70 $false|~sQ33_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f283,f106])).
% 0.17/0.70 fof(f293,plain,(
% 0.17/0.70 ~sQ33_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f292])).
% 0.17/0.70 fof(f294,plain,(
% 0.17/0.70 $false|~sQ31_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f276,f118])).
% 0.17/0.70 fof(f295,plain,(
% 0.17/0.70 ~sQ31_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f294])).
% 0.17/0.70 fof(f296,plain,(
% 0.17/0.70 product2(e_2,e_2,e_3)|~sQ7_spl|~sQ3_spl),
% 0.17/0.70 inference(resolution,[status(thm)],[f169,f137])).
% 0.17/0.70 fof(f297,plain,(
% 0.17/0.70 $false|~sQ7_spl|~sQ3_spl),
% 0.17/0.70 inference(forward_subsumption_resolution,[status(thm)],[f296,f119])).
% 0.17/0.70 fof(f298,plain,(
% 0.17/0.70 ~sQ7_spl|~sQ3_spl),
% 0.17/0.70 inference(contradiction_clause,[status(thm)],[f297])).
% 0.17/0.70 fof(f299,plain,(
% 0.17/0.70 $false),
% 0.17/0.70 inference(sat_refutation,[status(thm)],[f145,f155,f157,f159,f165,f174,f213,f215,f217,f252,f254,f256,f258,f293,f295,f298])).
% 0.17/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.77 % Elapsed time: 0.090557 seconds
% 0.20/0.77 % CPU time: 0.072894 seconds
% 0.20/0.77 % Total memory used: 1.844 MB
% 0.20/0.77 % Net memory used: 1.819 MB
%------------------------------------------------------------------------------