0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.12/0.33 % Computer : n006.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 02:24:59 EDT 2022 0.12/0.33 % CPUTime : 0.19/0.35 % Drodi V3.3.3 11.25/1.79 % Refutation found 11.25/1.79 % SZS status Theorem for theBenchmark: Theorem is valid 11.25/1.79 % SZS output start CNFRefutation for theBenchmark 11.25/1.79 fof(f1,axiom,( 11.25/1.79 (! [Ax,C] :( ( (? [I2] : model(I2,C))<=> (? [I1] : model(I1,Ax) ))<=> status(Ax,C,esa) ) )), 11.25/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.25/1.79 fof(f6,axiom,( 11.25/1.79 (! [Ax,C] :( status(Ax,C,cax)<=> ~ (? [I1] : model(I1,Ax) )) )), 11.25/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.25/1.79 fof(f9,axiom,( 11.25/1.79 (! [Ax,C] :( status(Ax,C,thm)<=> (! [I1] :( model(I1,C)<= model(I1,Ax) ) )) )), 11.25/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.25/1.79 fof(f20,axiom,( 11.25/1.79 (? [I1,Ax,C] :( ~ model(I1,C)& (? [I2] : model(I2,C))& model(I1,Ax) ) )), 11.25/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.25/1.79 fof(f23,axiom,( 11.25/1.79 (! [I,F] :( model(I,not(F))<~> model(I,F) ) )), 11.25/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.25/1.79 fof(f28,axiom,( 11.25/1.79 (! [S1,S2] :( nota(S1,S2)<=> (? [Ax,C] :( ~ status(Ax,C,S2)& status(Ax,C,S1) ) )) )), 11.25/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.25/1.79 fof(f30,axiom,( 11.25/1.79 (? [F] :(! [I] : ~ model(I,F) ))), 11.25/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.25/1.79 fof(f31,axiom,( 11.25/1.79 (? [F] :(! [I] : model(I,F) ))), 11.25/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.25/1.79 fof(f33,conjecture,( 11.25/1.79 nota(esa,thm) ), 11.25/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 11.25/1.79 fof(f34,negated_conjecture,( 11.25/1.79 ~(nota(esa,thm) )), 11.25/1.79 inference(negated_conjecture,[status(cth)],[f33])). 11.25/1.79 fof(f35,plain,( 11.25/1.79 ![Ax,C]: (((((![I2]: ~model(I2,C))|(![I1]: ~model(I1,Ax)))&((?[I2]: model(I2,C))|(?[I1]: model(I1,Ax))))|status(Ax,C,esa))&((((![I2]: ~model(I2,C))|(?[I1]: model(I1,Ax)))&((?[I2]: model(I2,C))|(![I1]: ~model(I1,Ax))))|~status(Ax,C,esa)))), 11.25/1.79 inference(NNF_transformation,[status(esa)],[f1])). 11.25/1.79 fof(f36,plain,( 11.25/1.79 (![Ax,C]: ((((![I2]: ~model(I2,C))|(![I1]: ~model(I1,Ax)))&((?[I2]: model(I2,C))|(?[I1]: model(I1,Ax))))|status(Ax,C,esa)))&(![Ax,C]: ((((![I2]: ~model(I2,C))|(?[I1]: model(I1,Ax)))&((?[I2]: model(I2,C))|(![I1]: ~model(I1,Ax))))|~status(Ax,C,esa)))), 11.25/1.79 inference(miniscoping,[status(esa)],[f35])). 11.25/1.79 fof(f37,plain,( 11.25/1.79 (![Ax,C]: ((((![I2]: ~model(I2,C))|(![I1]: ~model(I1,Ax)))&(model(sk0_0(C,Ax),C)|model(sk0_1(C,Ax),Ax)))|status(Ax,C,esa)))&(![Ax,C]: ((((![I2]: ~model(I2,C))|model(sk0_2(C,Ax),Ax))&(model(sk0_3(C,Ax),C)|(![I1]: ~model(I1,Ax))))|~status(Ax,C,esa)))), 11.25/1.79 inference(skolemization,[status(esa)],[f36])). 11.25/1.79 fof(f38,plain,( 11.25/1.79 ![X0,X1,X2,X3]: (~model(X0,X1)|~model(X2,X3)|status(X3,X1,esa))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f37])). 11.25/1.79 fof(f39,plain,( 11.25/1.79 ![X0,X1]: (model(sk0_0(X0,X1),X0)|model(sk0_1(X0,X1),X1)|status(X1,X0,esa))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f37])). 11.25/1.79 fof(f40,plain,( 11.25/1.79 ![X0,X1,X2]: (~model(X0,X1)|model(sk0_2(X1,X2),X2)|~status(X2,X1,esa))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f37])). 11.25/1.79 fof(f74,plain,( 11.25/1.79 ![Ax,C]: (status(Ax,C,cax)<=>(![I1]: ~model(I1,Ax)))), 11.25/1.79 inference(pre_NNF_transformation,[status(esa)],[f6])). 11.25/1.79 fof(f75,plain,( 11.25/1.79 ![Ax,C]: ((~status(Ax,C,cax)|(![I1]: ~model(I1,Ax)))&(status(Ax,C,cax)|(?[I1]: model(I1,Ax))))), 11.25/1.79 inference(NNF_transformation,[status(esa)],[f74])). 11.25/1.79 fof(f76,plain,( 11.25/1.79 (![Ax]: ((![C]: ~status(Ax,C,cax))|(![I1]: ~model(I1,Ax))))&(![Ax]: ((![C]: status(Ax,C,cax))|(?[I1]: model(I1,Ax))))), 11.25/1.79 inference(miniscoping,[status(esa)],[f75])). 11.25/1.79 fof(f77,plain,( 11.25/1.79 (![Ax]: ((![C]: ~status(Ax,C,cax))|(![I1]: ~model(I1,Ax))))&(![Ax]: ((![C]: status(Ax,C,cax))|model(sk0_14(Ax),Ax)))), 11.25/1.79 inference(skolemization,[status(esa)],[f76])). 11.25/1.79 fof(f78,plain,( 11.25/1.79 ![X0,X1,X2]: (~status(X0,X1,cax)|~model(X2,X0))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f77])). 11.25/1.79 fof(f79,plain,( 11.25/1.79 ![X0,X1]: (status(X0,X1,cax)|model(sk0_14(X0),X0))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f77])). 11.25/1.79 fof(f98,plain,( 11.25/1.79 ![Ax,C]: (status(Ax,C,thm)<=>(![I1]: (model(I1,C)|~model(I1,Ax))))), 11.25/1.79 inference(pre_NNF_transformation,[status(esa)],[f9])). 11.25/1.79 fof(f99,plain,( 11.25/1.79 ![Ax,C]: ((~status(Ax,C,thm)|(![I1]: (model(I1,C)|~model(I1,Ax))))&(status(Ax,C,thm)|(?[I1]: (~model(I1,C)&model(I1,Ax)))))), 11.25/1.79 inference(NNF_transformation,[status(esa)],[f98])). 11.25/1.79 fof(f100,plain,( 11.25/1.79 (![Ax,C]: (~status(Ax,C,thm)|(![I1]: (model(I1,C)|~model(I1,Ax)))))&(![Ax,C]: (status(Ax,C,thm)|(?[I1]: (~model(I1,C)&model(I1,Ax)))))), 11.25/1.79 inference(miniscoping,[status(esa)],[f99])). 11.25/1.79 fof(f101,plain,( 11.25/1.79 (![Ax,C]: (~status(Ax,C,thm)|(![I1]: (model(I1,C)|~model(I1,Ax)))))&(![Ax,C]: (status(Ax,C,thm)|(~model(sk0_21(C,Ax),C)&model(sk0_21(C,Ax),Ax))))), 11.25/1.79 inference(skolemization,[status(esa)],[f100])). 11.25/1.79 fof(f102,plain,( 11.25/1.79 ![X0,X1,X2]: (~status(X0,X1,thm)|model(X2,X1)|~model(X2,X0))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f101])). 11.25/1.79 fof(f174,plain,( 11.25/1.79 ?[I1]: ((?[C]: (~model(I1,C)&(?[I2]: model(I2,C))))&(?[Ax]: model(I1,Ax)))), 11.25/1.79 inference(miniscoping,[status(esa)],[f20])). 11.25/1.79 fof(f175,plain,( 11.25/1.79 ((~model(sk0_42,sk0_43)&model(sk0_44,sk0_43))&model(sk0_42,sk0_45))), 11.25/1.79 inference(skolemization,[status(esa)],[f174])). 11.25/1.79 fof(f176,plain,( 11.25/1.79 ~model(sk0_42,sk0_43)), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f175])). 11.25/1.79 fof(f177,plain,( 11.25/1.79 model(sk0_44,sk0_43)), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f175])). 11.25/1.79 fof(f191,plain,( 11.25/1.79 ![I,F]: ((model(I,not(F))|model(I,F))&(~model(I,not(F))|~model(I,F)))), 11.25/1.79 inference(NNF_transformation,[status(esa)],[f23])). 11.25/1.79 fof(f192,plain,( 11.25/1.79 (![I,F]: (model(I,not(F))|model(I,F)))&(![I,F]: (~model(I,not(F))|~model(I,F)))), 11.25/1.79 inference(miniscoping,[status(esa)],[f191])). 11.25/1.79 fof(f193,plain,( 11.25/1.79 ![X0,X1]: (model(X0,not(X1))|model(X0,X1))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f192])). 11.25/1.79 fof(f194,plain,( 11.25/1.79 ![X0,X1]: (~model(X0,not(X1))|~model(X0,X1))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f192])). 11.25/1.79 fof(f220,plain,( 11.25/1.79 ![S1,S2]: ((~nota(S1,S2)|(?[Ax,C]: (~status(Ax,C,S2)&status(Ax,C,S1))))&(nota(S1,S2)|(![Ax,C]: (status(Ax,C,S2)|~status(Ax,C,S1)))))), 11.25/1.79 inference(NNF_transformation,[status(esa)],[f28])). 11.25/1.79 fof(f221,plain,( 11.25/1.79 (![S1,S2]: (~nota(S1,S2)|(?[Ax,C]: (~status(Ax,C,S2)&status(Ax,C,S1)))))&(![S1,S2]: (nota(S1,S2)|(![Ax,C]: (status(Ax,C,S2)|~status(Ax,C,S1)))))), 11.25/1.79 inference(miniscoping,[status(esa)],[f220])). 11.25/1.79 fof(f222,plain,( 11.25/1.79 (![S1,S2]: (~nota(S1,S2)|(~status(sk0_62(S2,S1),sk0_63(S2,S1),S2)&status(sk0_62(S2,S1),sk0_63(S2,S1),S1))))&(![S1,S2]: (nota(S1,S2)|(![Ax,C]: (status(Ax,C,S2)|~status(Ax,C,S1)))))), 11.25/1.79 inference(skolemization,[status(esa)],[f221])). 11.25/1.79 fof(f225,plain,( 11.25/1.79 ![X0,X1,X2,X3]: (nota(X0,X1)|status(X2,X3,X1)|~status(X2,X3,X0))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f222])). 11.25/1.79 fof(f232,plain,( 11.25/1.79 ![I]: ~model(I,sk0_66)), 11.25/1.79 inference(skolemization,[status(esa)],[f30])). 11.25/1.79 fof(f233,plain,( 11.25/1.79 ![X0]: (~model(X0,sk0_66))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f232])). 11.25/1.79 fof(f234,plain,( 11.25/1.79 ![I]: model(I,sk0_67)), 11.25/1.79 inference(skolemization,[status(esa)],[f31])). 11.25/1.79 fof(f235,plain,( 11.25/1.79 ![X0]: (model(X0,sk0_67))), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f234])). 11.25/1.79 fof(f239,plain,( 11.25/1.79 ~nota(esa,thm)), 11.25/1.79 inference(cnf_transformation,[status(esa)],[f34])). 11.25/1.79 fof(f251,plain,( 11.25/1.79 ![X0]: (model(sk0_0(X0,sk0_66),X0)|status(sk0_66,X0,esa))), 11.25/1.79 inference(resolution,[status(thm)],[f39,f233])). 11.25/1.79 fof(f265,plain,( 11.25/1.79 ![X0,X1]: (~model(X0,X1)|~status(sk0_66,X1,esa))), 11.25/1.79 inference(resolution,[status(thm)],[f40,f233])). 11.25/1.79 fof(f908,plain,( 11.25/1.79 spl0_36 <=> ~model(X0,sk0_67)), 11.25/1.79 introduced(split_symbol_definition)). 11.25/1.79 fof(f909,plain,( 11.25/1.79 ![X0]: (~model(X0,sk0_67)|~spl0_36)), 11.25/1.79 inference(component_clause,[status(thm)],[f908])). 11.25/1.79 fof(f916,plain,( 11.25/1.79 $false|~spl0_36), 11.25/1.79 inference(forward_subsumption_resolution,[status(thm)],[f909,f235])). 11.25/1.79 fof(f917,plain,( 11.25/1.79 ~spl0_36), 11.25/1.79 inference(contradiction_clause,[status(thm)],[f916])). 11.25/1.79 fof(f1026,plain,( 11.25/1.79 ![X0]: (~status(sk0_43,X0,cax))), 11.25/1.79 inference(resolution,[status(thm)],[f78,f177])). 11.25/1.79 fof(f1039,plain,( 11.25/1.79 ![X0,X1,X2]: (~status(not(X0),X1,cax)|model(X2,X0))), 11.25/1.79 inference(resolution,[status(thm)],[f78,f193])). 11.25/1.79 fof(f1092,plain,( 11.25/1.79 ![X0,X1,X2]: (~status(not(not(X0)),X1,cax)|~model(X2,X0))), 11.25/1.79 inference(resolution,[status(thm)],[f1039,f194])). 11.25/1.79 fof(f1103,plain,( 11.25/1.79 ![X0,X1]: (~model(X0,X1)|model(sk0_14(not(not(X1))),not(not(X1))))), 11.25/1.79 inference(resolution,[status(thm)],[f1092,f79])). 11.25/1.79 fof(f1428,plain,( 11.25/1.79 ![X0,X1]: (~model(X0,X1)|~model(sk0_14(not(not(X1))),not(X1)))), 11.25/1.80 inference(resolution,[status(thm)],[f1103,f194])). 11.25/1.80 fof(f1706,plain,( 11.25/1.80 model(sk0_14(sk0_43),sk0_43)), 11.25/1.80 inference(resolution,[status(thm)],[f1026,f79])). 11.25/1.80 fof(f2111,plain,( 11.25/1.80 ![X0,X1,X2]: (~status(X0,not(X1),thm)|~model(X2,X0)|~model(X2,X1))), 11.25/1.80 inference(resolution,[status(thm)],[f102,f194])). 11.25/1.80 fof(f2313,plain,( 11.25/1.80 ![X0,X1]: (~status(sk0_67,not(X0),thm)|~model(X1,X0))), 11.25/1.80 inference(resolution,[status(thm)],[f2111,f235])). 11.25/1.80 fof(f2554,plain,( 11.25/1.80 ![X0,X1]: (~status(sk0_67,not(not(X0)),thm)|model(X1,X0))), 11.25/1.80 inference(resolution,[status(thm)],[f2313,f193])). 11.25/1.80 fof(f3134,plain,( 11.25/1.80 ~status(sk0_67,not(not(sk0_43)),thm)), 11.25/1.80 inference(resolution,[status(thm)],[f2554,f176])). 11.25/1.80 fof(f9011,plain,( 11.25/1.80 spl0_318 <=> ~model(X0,not(not(sk0_43)))), 11.25/1.80 introduced(split_symbol_definition)). 11.25/1.80 fof(f9012,plain,( 11.25/1.80 ![X0]: (~model(X0,not(not(sk0_43)))|~spl0_318)), 11.25/1.80 inference(component_clause,[status(thm)],[f9011])). 11.25/1.80 fof(f10798,plain,( 11.25/1.80 ![X0]: (nota(X0,thm)|~status(sk0_67,not(not(sk0_43)),X0))), 11.25/1.80 inference(resolution,[status(thm)],[f225,f3134])). 11.25/1.80 fof(f20328,plain,( 11.25/1.80 ![X0,X1]: (~status(sk0_66,not(X0),esa)|model(X1,X0))), 11.25/1.80 inference(resolution,[status(thm)],[f265,f193])). 11.25/1.80 fof(f20565,plain,( 11.25/1.80 ![X0,X1]: (~status(sk0_66,not(not(X0)),esa)|~model(X1,X0))), 11.25/1.80 inference(resolution,[status(thm)],[f20328,f1428])). 11.25/1.80 fof(f21044,plain,( 11.25/1.80 ~status(sk0_66,not(not(sk0_43)),esa)), 11.25/1.80 inference(resolution,[status(thm)],[f20565,f1706])). 11.25/1.80 fof(f26612,plain,( 11.25/1.80 ~status(sk0_67,not(not(sk0_43)),esa)), 11.25/1.80 inference(resolution,[status(thm)],[f10798,f239])). 11.25/1.80 fof(f30055,plain,( 11.25/1.80 ![X0,X1]: (~model(X0,not(not(sk0_43)))|~model(X1,sk0_67))), 11.25/1.80 inference(resolution,[status(thm)],[f38,f26612])). 11.25/1.80 fof(f30056,plain,( 11.25/1.80 spl0_318|spl0_36), 11.25/1.80 inference(split_clause,[status(thm)],[f30055,f9011,f908])). 11.25/1.80 fof(f30217,plain,( 11.25/1.80 status(sk0_66,not(not(sk0_43)),esa)|~spl0_318), 11.25/1.80 inference(resolution,[status(thm)],[f9012,f251])). 11.25/1.80 fof(f30218,plain,( 11.25/1.80 $false|~spl0_318), 11.25/1.80 inference(forward_subsumption_resolution,[status(thm)],[f30217,f21044])). 11.25/1.80 fof(f30219,plain,( 11.25/1.80 ~spl0_318), 11.25/1.80 inference(contradiction_clause,[status(thm)],[f30218])). 11.25/1.80 fof(f30220,plain,( 11.25/1.80 $false), 11.25/1.80 inference(sat_refutation,[status(thm)],[f917,f30056,f30219])). 11.25/1.80 % SZS output end CNFRefutation for theBenchmark.p 11.49/1.82 % Elapsed time: 1.470856 seconds 11.49/1.82 % CPU time: 11.542025 seconds 11.49/1.82 % Memory used: 196.950 MB 11.49/1.82 EOF