0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : drodi -timeout(240) /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.33 % Computer : n003.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1920 0.13/0.33 % WCLimit : 240 0.13/0.33 % DateTime : Wed Jul 30 02:01:34 EDT 2025 0.13/0.33 % CPUTime : 0.13/0.34 % Drodi V4.1.0 11.44/1.87 % Refutation found 11.44/1.87 % SZS status Theorem for theBenchmark: Theorem is valid 11.44/1.87 % SZS output start CNFRefutation for theBenchmark 11.44/1.87 fof(f1,axiom,( 11.44/1.87 (! [X38,X39,X40,X41,X42,X43] :( ~ id(X39,X42)| ( r4(X41,X42,X43)& r4(X38,X39,X40) )| ( ~ r4(X41,X42,X43)& ~ r4(X38,X39,X40) )| ~ id(X40,X43)| ~ id(X38,X41) ) )), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f4,axiom,( 11.44/1.87 (! [X21,X22] :( id(X22,X21)| ~ id(X21,X22) ) )), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f6,axiom,( 11.44/1.87 (! [X16,X17] :(? [Y23] :(! [X18] :( ( r4(X16,X17,X18)& id(X18,Y23) )| ( ~ r4(X16,X17,X18)& ~ id(X18,Y23) ) ) )))), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f7,axiom,( 11.44/1.87 (! [X20] : id(X20,X20) )), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f8,axiom,( 11.44/1.87 (! [X11] :(? [Y21] :(! [X12] :( ( ~ r2(X11,X12)& ~ id(X12,Y21) )| ( id(X12,Y21)& r2(X11,X12) ) ) )))), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f9,axiom,( 11.44/1.87 (! [X6] :( (? [Y19] :( id(X6,Y19)& r1(Y19) ))| (? [Y1,Y11] :( id(X6,Y11)& r2(Y1,Y11) ) )) )), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f10,axiom,( 11.44/1.87 (! [X23,X24,X25] :( ~ id(X24,X25)| id(X23,X25)| ~ id(X23,X24) ) )), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f12,axiom,( 11.44/1.87 (! [X5] :(? [Y8] :( (? [Y18] :( id(Y8,Y18)& r1(Y18) ))& (? [Y17] :( r4(X5,Y17,Y8)& r1(Y17) ) )) ))), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f14,axiom,( 11.44/1.87 (! [X7,Y10] :( (! [Y20] :( ~ id(Y20,Y10)| ~ r1(Y20) ))| ~ r2(X7,Y10) ) )), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f17,axiom,( 11.44/1.87 (? [Y24] :(! [X19] :( ( ~ id(X19,Y24)& ~ r1(X19) )| ( r1(X19)& id(X19,Y24) ) ) ))), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f19,conjecture,( 11.44/1.87 (? [Y1] :( (? [Y3] :( id(Y1,Y3)& r1(Y3) ))& (? [Y2] :( r4(Y2,Y2,Y1)& r1(Y2) ) )) )), 11.44/1.87 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.44/1.87 fof(f20,negated_conjecture,( 11.44/1.87 ~((? [Y1] :( (? [Y3] :( id(Y1,Y3)& r1(Y3) ))& (? [Y2] :( r4(Y2,Y2,Y1)& r1(Y2) ) )) ))), 11.44/1.87 inference(negated_conjecture,[status(cth)],[f19])). 11.44/1.87 fof(f21,plain,( 11.44/1.87 ![X38,X39,X40,X41,X42,X43]: (sP0_prd(X43,X42,X41,X40,X39,X38)<=>(r4(X41,X42,X43)&r4(X38,X39,X40)))), 11.44/1.87 introduced(definition,[new_symbols(definition,[![X38,X39,X40,X41,X42,X43]: (sP0_prd(X43,X42,X41,X40,X39,X38)])],[f1])). 11.44/1.87 fof(f22,plain,( 11.44/1.87 ![X38,X39,X40,X41,X42,X43]: ((((~id(X39,X42)|sP0_prd(X43,X42,X41,X40,X39,X38))|(~r4(X41,X42,X43)&~r4(X38,X39,X40)))|~id(X40,X43))|~id(X38,X41))), 11.44/1.87 inference(formula_renaming,[status(thm)],[f1,f21])). 11.44/1.87 fof(f23,plain,( 11.44/1.87 ![X38,X41]: ((![X40,X43]: ((![X39,X42]: ((~id(X39,X42)|sP0_prd(X43,X42,X41,X40,X39,X38))|(~r4(X41,X42,X43)&~r4(X38,X39,X40))))|~id(X40,X43)))|~id(X38,X41))), 11.44/1.87 inference(miniscoping,[status(esa)],[f22])). 11.44/1.87 fof(f25,plain,( 11.44/1.87 ![X0,X1,X2,X3,X4,X5]: (~id(X0,X1)|sP0_prd(X2,X1,X3,X4,X0,X5)|~r4(X5,X0,X4)|~id(X4,X2)|~id(X5,X3))), 11.44/1.87 inference(cnf_transformation,[status(thm)],[f23])). 11.44/1.87 fof(f34,plain,( 11.44/1.87 ![X0,X1]: (id(X0,X1)|~id(X1,X0))), 11.44/1.87 inference(cnf_transformation,[status(thm)],[f4])). 11.44/1.87 fof(f40,plain,( 11.44/1.87 ![X16,X17,Y23,X18]: (sP3_prd(X18,Y23,X17,X16)<=>(r4(X16,X17,X18)&id(X18,Y23)))), 11.44/1.87 introduced(definition,[new_symbols(definition,[![X16,X17,Y23,X18]: (sP3_prd(X18,Y23,X17,X16)])],[f6])). 11.44/1.87 fof(f41,plain,( 11.44/1.87 ![X16,X17]: ?[Y23]: ![X18]: (sP3_prd(X18,Y23,X17,X16)|(~r4(X16,X17,X18)&~id(X18,Y23)))), 11.44/1.87 inference(formula_renaming,[status(thm)],[f6,f40])). 11.44/1.87 fof(f42,plain,( 11.44/1.87 ![X16,X17]: ![X18]: (sP3_prd(X18,sK2_skl(X17,X16),X17,X16)|(~r4(X16,X17,X18)&~id(X18,sK2_skl(X17,X16))))), 11.44/1.87 inference(skolemization,[status(esa),new_symbols(skolem,[sK2_skl])],[f41])). 11.44/1.87 fof(f43,plain,( 11.44/1.87 ![X0,X1,X2]: (sP3_prd(X0,sK2_skl(X1,X2),X1,X2)|~r4(X2,X1,X0))), 11.44/1.87 inference(cnf_transformation,[status(thm)],[f42])). 11.44/1.87 fof(f44,plain,( 11.44/1.87 ![X0,X1,X2]: (sP3_prd(X0,sK2_skl(X1,X2),X1,X2)|~id(X0,sK2_skl(X1,X2)))), 11.44/1.87 inference(cnf_transformation,[status(thm)],[f42])). 11.44/1.87 fof(f45,plain,( 11.44/1.87 ![X0]: (id(X0,X0))), 11.44/1.87 inference(cnf_transformation,[status(thm)],[f7])). 11.44/1.87 fof(f46,plain,( 11.44/1.87 ![X11,Y21,X12]: (sP4_prd(X12,Y21,X11)<=>(~r2(X11,X12)&~id(X12,Y21)))), 12.08/1.87 introduced(definition,[new_symbols(definition,[![X11,Y21,X12]: (sP4_prd(X12,Y21,X11)])],[f8])). 12.08/1.87 fof(f47,plain,( 12.08/1.87 ![X11]: ?[Y21]: ![X12]: (sP4_prd(X12,Y21,X11)|(id(X12,Y21)&r2(X11,X12)))), 12.08/1.87 inference(formula_renaming,[status(thm)],[f8,f46])). 12.08/1.87 fof(f48,plain,( 12.08/1.87 ![X11]: ![X12]: (sP4_prd(X12,sK3_skl(X11),X11)|(id(X12,sK3_skl(X11))&r2(X11,X12)))), 12.08/1.87 inference(skolemization,[status(esa),new_symbols(skolem,[sK3_skl])],[f47])). 12.08/1.87 fof(f49,plain,( 12.08/1.87 ![X0,X1]: (sP4_prd(X0,sK3_skl(X1),X1)|id(X0,sK3_skl(X1)))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f48])). 12.08/1.87 fof(f50,plain,( 12.08/1.87 ![X0,X1]: (sP4_prd(X0,sK3_skl(X1),X1)|r2(X1,X0))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f48])). 12.08/1.87 fof(f51,plain,( 12.08/1.87 ![X6,Y19]: (sP5_prd(Y19,X6)<=>(id(X6,Y19)&r1(Y19)))), 12.08/1.87 introduced(definition,[new_symbols(definition,[![X6,Y19]: (sP5_prd(Y19,X6)])],[f9])). 12.08/1.87 fof(f52,plain,( 12.08/1.87 ![X6]: ((?[Y19]: sP5_prd(Y19,X6))|(?[Y1,Y11]: (id(X6,Y11)&r2(Y1,Y11))))), 12.08/1.87 inference(formula_renaming,[status(thm)],[f9,f51])). 12.08/1.87 fof(f53,plain,( 12.08/1.87 ![X6]: ((?[Y19]: sP5_prd(Y19,X6))|(?[Y11]: (id(X6,Y11)&(?[Y1]: r2(Y1,Y11)))))), 12.08/1.87 inference(miniscoping,[status(esa)],[f52])). 12.08/1.87 fof(f54,plain,( 12.08/1.87 ![X6]: (sP5_prd(sK4_skl(X6),X6)|(id(X6,sK5_skl(X6))&r2(sK6_skl(X6),sK5_skl(X6))))), 12.08/1.87 inference(skolemization,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl])],[f53])). 12.08/1.87 fof(f55,plain,( 12.08/1.87 ![X0]: (sP5_prd(sK4_skl(X0),X0)|id(X0,sK5_skl(X0)))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f54])). 12.08/1.87 fof(f56,plain,( 12.08/1.87 ![X0]: (sP5_prd(sK4_skl(X0),X0)|r2(sK6_skl(X0),sK5_skl(X0)))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f54])). 12.08/1.87 fof(f57,plain,( 12.08/1.87 ![X23,X24]: ((![X25]: (~id(X24,X25)|id(X23,X25)))|~id(X23,X24))), 12.08/1.87 inference(miniscoping,[status(esa)],[f10])). 12.08/1.87 fof(f58,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(X0,X1)|id(X2,X1)|~id(X2,X0))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f57])). 12.08/1.87 fof(f65,plain,( 12.08/1.87 ![X5]: ((id(sK11_skl(X5),sK12_skl(X5))&r1(sK12_skl(X5)))&(r4(X5,sK13_skl(X5),sK11_skl(X5))&r1(sK13_skl(X5))))), 12.08/1.87 inference(skolemization,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl])],[f12])). 12.08/1.87 fof(f66,plain,( 12.08/1.87 ![X0]: (id(sK11_skl(X0),sK12_skl(X0)))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f65])). 12.08/1.87 fof(f67,plain,( 12.08/1.87 ![X0]: (r1(sK12_skl(X0)))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f65])). 12.08/1.87 fof(f68,plain,( 12.08/1.87 ![X0]: (r4(X0,sK13_skl(X0),sK11_skl(X0)))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f65])). 12.08/1.87 fof(f69,plain,( 12.08/1.87 ![X0]: (r1(sK13_skl(X0)))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f65])). 12.08/1.87 fof(f75,plain,( 12.08/1.87 ![Y10]: ((![Y20]: (~id(Y20,Y10)|~r1(Y20)))|(![X7]: ~r2(X7,Y10)))), 12.08/1.87 inference(miniscoping,[status(esa)],[f14])). 12.08/1.87 fof(f76,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(X0,X1)|~r1(X0)|~r2(X2,X1))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f75])). 12.08/1.87 fof(f88,plain,( 12.08/1.87 ![Y24,X19]: (sP8_prd(X19,Y24)<=>(~id(X19,Y24)&~r1(X19)))), 12.08/1.87 introduced(definition,[new_symbols(definition,[![Y24,X19]: (sP8_prd(X19,Y24)])],[f17])). 12.08/1.87 fof(f89,plain,( 12.08/1.87 ?[Y24]: ![X19]: (sP8_prd(X19,Y24)|(r1(X19)&id(X19,Y24)))), 12.08/1.87 inference(formula_renaming,[status(thm)],[f17,f88])). 12.08/1.87 fof(f90,plain,( 12.08/1.87 ![X19]: (sP8_prd(X19,sK19_skl)|(r1(X19)&id(X19,sK19_skl)))), 12.08/1.87 inference(skolemization,[status(esa),new_symbols(skolem,[sK19_skl])],[f89])). 12.08/1.87 fof(f91,plain,( 12.08/1.87 ![X0]: (sP8_prd(X0,sK19_skl)|r1(X0))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f90])). 12.08/1.87 fof(f92,plain,( 12.08/1.87 ![X0]: (sP8_prd(X0,sK19_skl)|id(X0,sK19_skl))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f90])). 12.08/1.87 fof(f94,plain,( 12.08/1.87 (![Y1]: ((![Y3]: (~id(Y1,Y3)|~r1(Y3)))|(![Y2]: (~r4(Y2,Y2,Y1)|~r1(Y2)))))), 12.08/1.87 inference(pre_NNF_transformation,[status(esa)],[f20])). 12.08/1.87 fof(f95,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(X0,X1)|~r1(X1)|~r4(X2,X2,X0)|~r1(X2))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f94])). 12.08/1.87 fof(f96,plain,( 12.08/1.87 ![X38,X39,X40,X41,X42,X43]: ((~sP0_prd(X43,X42,X41,X40,X39,X38)|(r4(X41,X42,X43)&r4(X38,X39,X40)))&(sP0_prd(X43,X42,X41,X40,X39,X38)|(~r4(X41,X42,X43)|~r4(X38,X39,X40))))), 12.08/1.87 inference(NNF_transformation,[status(esa)],[f21])). 12.08/1.87 fof(f97,plain,( 12.08/1.87 (![X38,X39,X40,X41,X42,X43]: (~sP0_prd(X43,X42,X41,X40,X39,X38)|(r4(X41,X42,X43)&r4(X38,X39,X40))))&(![X38,X39,X40,X41,X42,X43]: (sP0_prd(X43,X42,X41,X40,X39,X38)|(~r4(X41,X42,X43)|~r4(X38,X39,X40))))), 12.08/1.87 inference(miniscoping,[status(esa)],[f96])). 12.08/1.87 fof(f98,plain,( 12.08/1.87 ![X0,X1,X2,X3,X4,X5]: (~sP0_prd(X0,X1,X2,X3,X4,X5)|r4(X2,X1,X0))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f97])). 12.08/1.87 fof(f111,plain,( 12.08/1.87 ![X16,X17,Y23,X18]: ((~sP3_prd(X18,Y23,X17,X16)|(r4(X16,X17,X18)&id(X18,Y23)))&(sP3_prd(X18,Y23,X17,X16)|(~r4(X16,X17,X18)|~id(X18,Y23))))), 12.08/1.87 inference(NNF_transformation,[status(esa)],[f40])). 12.08/1.87 fof(f112,plain,( 12.08/1.87 (![X16,X17,Y23,X18]: (~sP3_prd(X18,Y23,X17,X16)|(r4(X16,X17,X18)&id(X18,Y23))))&(![X16,X17,Y23,X18]: (sP3_prd(X18,Y23,X17,X16)|(~r4(X16,X17,X18)|~id(X18,Y23))))), 12.08/1.87 inference(miniscoping,[status(esa)],[f111])). 12.08/1.87 fof(f113,plain,( 12.08/1.87 ![X0,X1,X2,X3]: (~sP3_prd(X0,X1,X2,X3)|r4(X3,X2,X0))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f112])). 12.08/1.87 fof(f114,plain,( 12.08/1.87 ![X0,X1,X2,X3]: (~sP3_prd(X0,X1,X2,X3)|id(X0,X1))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f112])). 12.08/1.87 fof(f116,plain,( 12.08/1.87 ![X11,Y21,X12]: ((~sP4_prd(X12,Y21,X11)|(~r2(X11,X12)&~id(X12,Y21)))&(sP4_prd(X12,Y21,X11)|(r2(X11,X12)|id(X12,Y21))))), 12.08/1.87 inference(NNF_transformation,[status(esa)],[f46])). 12.08/1.87 fof(f117,plain,( 12.08/1.87 (![X11,Y21,X12]: (~sP4_prd(X12,Y21,X11)|(~r2(X11,X12)&~id(X12,Y21))))&(![X11,Y21,X12]: (sP4_prd(X12,Y21,X11)|(r2(X11,X12)|id(X12,Y21))))), 12.08/1.87 inference(miniscoping,[status(esa)],[f116])). 12.08/1.87 fof(f118,plain,( 12.08/1.87 ![X0,X1,X2]: (~sP4_prd(X0,X1,X2)|~r2(X2,X0))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f117])). 12.08/1.87 fof(f119,plain,( 12.08/1.87 ![X0,X1,X2]: (~sP4_prd(X0,X1,X2)|~id(X0,X1))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f117])). 12.08/1.87 fof(f121,plain,( 12.08/1.87 ![X6,Y19]: ((~sP5_prd(Y19,X6)|(id(X6,Y19)&r1(Y19)))&(sP5_prd(Y19,X6)|(~id(X6,Y19)|~r1(Y19))))), 12.08/1.87 inference(NNF_transformation,[status(esa)],[f51])). 12.08/1.87 fof(f122,plain,( 12.08/1.87 (![X6,Y19]: (~sP5_prd(Y19,X6)|(id(X6,Y19)&r1(Y19))))&(![X6,Y19]: (sP5_prd(Y19,X6)|(~id(X6,Y19)|~r1(Y19))))), 12.08/1.87 inference(miniscoping,[status(esa)],[f121])). 12.08/1.87 fof(f123,plain,( 12.08/1.87 ![X0,X1]: (~sP5_prd(X0,X1)|id(X1,X0))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f122])). 12.08/1.87 fof(f124,plain,( 12.08/1.87 ![X0,X1]: (~sP5_prd(X0,X1)|r1(X0))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f122])). 12.08/1.87 fof(f136,plain,( 12.08/1.87 ![Y24,X19]: ((~sP8_prd(X19,Y24)|(~id(X19,Y24)&~r1(X19)))&(sP8_prd(X19,Y24)|(id(X19,Y24)|r1(X19))))), 12.08/1.87 inference(NNF_transformation,[status(esa)],[f88])). 12.08/1.87 fof(f137,plain,( 12.08/1.87 (![Y24,X19]: (~sP8_prd(X19,Y24)|(~id(X19,Y24)&~r1(X19))))&(![Y24,X19]: (sP8_prd(X19,Y24)|(id(X19,Y24)|r1(X19))))), 12.08/1.87 inference(miniscoping,[status(esa)],[f136])). 12.08/1.87 fof(f138,plain,( 12.08/1.87 ![X0,X1]: (~sP8_prd(X0,X1)|~id(X0,X1))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f137])). 12.08/1.87 fof(f139,plain,( 12.08/1.87 ![X0,X1]: (~sP8_prd(X0,X1)|~r1(X0))), 12.08/1.87 inference(cnf_transformation,[status(thm)],[f137])). 12.08/1.87 fof(f147,plain,( 12.08/1.87 ![X0]: (~id(X0,sK19_skl)|r1(X0))), 12.08/1.87 inference(resolution,[status(thm)],[f138,f91])). 12.08/1.87 fof(f148,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(X0,sK19_skl)|~id(X1,X2)|~r1(X2)|~r4(X0,X0,X1))), 12.08/1.87 inference(resolution,[status(thm)],[f147,f95])). 12.08/1.87 fof(f149,plain,( 12.08/1.87 ![X0,X1,X2,X3]: (~id(sK13_skl(X0),X1)|sP0_prd(X2,X1,X3,sK11_skl(X0),sK13_skl(X0),X0)|~id(sK11_skl(X0),X2)|~id(X0,X3))), 12.08/1.87 inference(resolution,[status(thm)],[f68,f25])). 12.08/1.87 fof(f155,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(X0,sK2_skl(X1,X2))|r4(X2,X1,X0))), 12.08/1.87 inference(resolution,[status(thm)],[f44,f113])). 12.08/1.87 fof(f160,plain,( 12.08/1.87 ![X0,X1]: (r4(X0,X1,sK2_skl(X1,X0)))), 12.08/1.87 inference(resolution,[status(thm)],[f155,f45])). 12.08/1.87 fof(f205,plain,( 12.08/1.87 ![X0,X1]: (~id(X0,sK19_skl)|~id(sK2_skl(X0,X0),X1)|~r1(X1))), 12.08/1.87 inference(resolution,[status(thm)],[f160,f148])). 12.08/1.87 fof(f216,plain,( 12.08/1.87 ![X0,X1]: (~id(X0,sK19_skl)|~id(sK2_skl(X0,X0),X1)|~id(X1,sK19_skl))), 12.08/1.87 inference(resolution,[status(thm)],[f205,f147])). 12.08/1.87 fof(f226,plain,( 12.08/1.87 ![X0,X1]: (~id(X0,sK19_skl)|~id(sK2_skl(X0,X0),X1)|~id(sK19_skl,X1))), 12.08/1.87 inference(resolution,[status(thm)],[f216,f34])). 12.08/1.87 fof(f232,plain,( 12.08/1.87 ![X0,X1]: (~id(sK2_skl(X0,X0),X1)|~id(sK19_skl,X1)|~id(sK19_skl,X0))), 12.08/1.87 inference(resolution,[status(thm)],[f226,f34])). 12.08/1.87 fof(f248,plain,( 12.08/1.87 ![X0]: (~id(sK2_skl(X0,X0),sK19_skl)|~id(sK19_skl,X0))), 12.08/1.87 inference(resolution,[status(thm)],[f232,f45])). 12.08/1.87 fof(f252,plain,( 12.08/1.87 ![X0]: (~id(sK19_skl,X0)|~id(sK19_skl,sK2_skl(X0,X0)))), 12.08/1.87 inference(resolution,[status(thm)],[f248,f34])). 12.08/1.87 fof(f254,plain,( 12.08/1.87 ![X0,X1]: (~id(sK19_skl,X0)|~id(X1,sK2_skl(X0,X0))|~id(sK19_skl,X1))), 12.08/1.87 inference(resolution,[status(thm)],[f252,f58])). 12.08/1.87 fof(f269,plain,( 12.08/1.87 ![X0,X1,X2,X3]: (~id(sK19_skl,X0)|~id(sK19_skl,X1)|~sP3_prd(X1,sK2_skl(X0,X0),X2,X3))), 12.08/1.87 inference(resolution,[status(thm)],[f254,f114])). 12.08/1.87 fof(f306,plain,( 12.08/1.87 ![X0,X1]: (~id(sK19_skl,X0)|~id(sK19_skl,X1)|~r4(X0,X0,X1))), 12.08/1.87 inference(resolution,[status(thm)],[f269,f43])). 12.08/1.87 fof(f338,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(X0,X1)|~r1(X0)|sP4_prd(X1,sK3_skl(X2),X2))), 12.08/1.87 inference(resolution,[status(thm)],[f76,f50])). 12.08/1.87 fof(f402,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(X0,X1)|~r1(X0)|~id(X1,sK3_skl(X2)))), 12.08/1.87 inference(resolution,[status(thm)],[f338,f119])). 12.08/1.87 fof(f404,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(sK12_skl(X0),X1)|~id(X1,sK3_skl(X2)))), 12.08/1.87 inference(resolution,[status(thm)],[f402,f67])). 12.08/1.87 fof(f501,plain,( 12.08/1.87 ![X0,X1]: (~id(sK12_skl(X0),sK3_skl(X1)))), 12.08/1.87 inference(resolution,[status(thm)],[f404,f45])). 12.08/1.87 fof(f505,plain,( 12.08/1.87 ![X0,X1]: (~id(sK3_skl(X0),sK12_skl(X1)))), 12.08/1.87 inference(resolution,[status(thm)],[f501,f34])). 12.08/1.87 fof(f507,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(X0,sK12_skl(X1))|~id(sK3_skl(X2),X0))), 12.08/1.87 inference(resolution,[status(thm)],[f505,f58])). 12.08/1.87 fof(f570,plain,( 12.08/1.87 ![X0,X1]: (~id(sK3_skl(X0),sK11_skl(X1)))), 12.08/1.87 inference(resolution,[status(thm)],[f507,f66])). 12.08/1.87 fof(f585,plain,( 12.08/1.87 ![X0,X1]: (~id(sK11_skl(X0),sK3_skl(X1)))), 12.08/1.87 inference(resolution,[status(thm)],[f570,f34])). 12.08/1.87 fof(f588,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(X0,sK3_skl(X1))|~id(sK11_skl(X2),X0))), 12.08/1.87 inference(resolution,[status(thm)],[f585,f58])). 12.08/1.87 fof(f675,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(sK11_skl(X0),X1)|sP4_prd(X1,sK3_skl(X2),X2))), 12.08/1.87 inference(resolution,[status(thm)],[f588,f49])). 12.08/1.87 fof(f773,plain,( 12.08/1.87 ![X0,X1,X2]: (~r2(X0,X1)|~id(sK11_skl(X2),X1))), 12.08/1.87 inference(resolution,[status(thm)],[f118,f675])). 12.08/1.87 fof(f792,plain,( 12.08/1.87 ![X0,X1]: (~id(sK11_skl(X0),sK5_skl(X1))|sP5_prd(sK4_skl(X1),X1))), 12.08/1.87 inference(resolution,[status(thm)],[f773,f56])). 12.08/1.87 fof(f966,plain,( 12.08/1.87 ![X0,X1,X2,X3]: (~id(sK13_skl(X0),X1)|~id(sK11_skl(X0),X2)|~id(X0,X3)|r4(X3,X1,X2))), 12.08/1.87 inference(resolution,[status(thm)],[f149,f98])). 12.08/1.87 fof(f1493,plain,( 12.08/1.87 ![X0,X1]: (~id(sK11_skl(X0),sK5_skl(X1))|id(X1,sK4_skl(X1)))), 12.08/1.87 inference(resolution,[status(thm)],[f792,f123])). 12.08/1.87 fof(f1494,plain,( 12.08/1.87 ![X0,X1]: (~id(sK11_skl(X0),sK5_skl(X1))|r1(sK4_skl(X1)))), 12.08/1.87 inference(resolution,[status(thm)],[f792,f124])). 12.08/1.87 fof(f1495,plain,( 12.08/1.87 ![X0]: (r1(sK4_skl(sK11_skl(X0)))|sP5_prd(sK4_skl(sK11_skl(X0)),sK11_skl(X0)))), 12.08/1.87 inference(resolution,[status(thm)],[f1494,f55])). 12.08/1.87 fof(f1499,plain,( 12.08/1.87 ![X0]: (r1(sK4_skl(sK11_skl(X0))))), 12.08/1.87 inference(forward_subsumption_resolution,[status(thm)],[f1495,f124])). 12.08/1.87 fof(f1821,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(sK11_skl(X0),X1)|~id(X0,X2)|r4(X2,sK19_skl,X1)|sP8_prd(sK13_skl(X0),sK19_skl))), 12.08/1.87 inference(resolution,[status(thm)],[f966,f92])). 12.08/1.87 fof(f1939,plain,( 12.08/1.87 ![X0]: (id(sK11_skl(X0),sK4_skl(sK11_skl(X0)))|sP5_prd(sK4_skl(sK11_skl(X0)),sK11_skl(X0)))), 12.08/1.87 inference(resolution,[status(thm)],[f1493,f55])). 12.08/1.87 fof(f1943,plain,( 12.08/1.87 ![X0]: (id(sK11_skl(X0),sK4_skl(sK11_skl(X0))))), 12.08/1.87 inference(forward_subsumption_resolution,[status(thm)],[f1939,f123])). 12.08/1.87 fof(f4467,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(sK11_skl(X0),X1)|~id(X0,X2)|r4(X2,sK19_skl,X1)|~r1(sK13_skl(X0)))), 12.08/1.87 inference(resolution,[status(thm)],[f1821,f139])). 12.08/1.87 fof(f4468,plain,( 12.08/1.87 ![X0,X1,X2]: (~id(sK11_skl(X0),X1)|~id(X0,X2)|r4(X2,sK19_skl,X1))), 12.08/1.87 inference(forward_subsumption_resolution,[status(thm)],[f4467,f69])). 12.08/1.87 fof(f4529,plain,( 12.08/1.87 ![X0,X1]: (~id(sK11_skl(X0),X1)|~id(X0,sK19_skl)|~id(sK19_skl,sK19_skl)|~id(sK19_skl,X1))), 12.08/1.87 inference(resolution,[status(thm)],[f4468,f306])). 12.08/1.87 fof(f4537,plain,( 12.08/1.87 ![X0,X1]: (~id(sK11_skl(X0),X1)|~id(X0,sK19_skl)|~id(sK19_skl,X1))), 12.08/1.87 inference(forward_subsumption_resolution,[status(thm)],[f4529,f45])). 12.08/1.87 fof(f4544,plain,( 12.08/1.87 ![X0]: (~id(sK11_skl(sK19_skl),X0)|~id(sK19_skl,X0))), 12.08/1.87 inference(resolution,[status(thm)],[f4537,f45])). 12.08/1.87 fof(f4550,plain,( 12.08/1.88 ![X0]: (~id(sK11_skl(sK19_skl),X0)|~id(X0,sK19_skl))), 12.08/1.88 inference(resolution,[status(thm)],[f4544,f34])). 12.08/1.88 fof(f4553,plain,( 12.08/1.88 ![X0]: (~id(sK11_skl(sK19_skl),X0)|sP8_prd(X0,sK19_skl))), 12.08/1.88 inference(resolution,[status(thm)],[f4550,f92])). 12.08/1.88 fof(f4559,plain,( 12.08/1.88 ![X0]: (~id(sK11_skl(sK19_skl),X0)|~r1(X0))), 12.08/1.88 inference(resolution,[status(thm)],[f4553,f139])). 12.08/1.88 fof(f4560,plain,( 12.08/1.88 ~r1(sK4_skl(sK11_skl(sK19_skl)))), 12.08/1.88 inference(resolution,[status(thm)],[f4559,f1943])). 12.08/1.88 fof(f4569,plain,( 12.08/1.88 $false), 12.08/1.88 inference(forward_subsumption_resolution,[status(thm)],[f4560,f1499])). 12.08/1.88 % SZS output end CNFRefutation for theBenchmark.p 12.14/1.91 % Elapsed time: 1.564872 seconds 12.14/1.91 % CPU time: 12.327097 seconds 12.14/1.91 % Total memory used: 152.832 MB 12.14/1.91 % Net memory used: 132.734 MB 12.14/1.91 EOF