0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.12/0.34 % Computer : n016.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 02:52:42 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.36 % Drodi V3.3.3 50.17/6.71 % Refutation found 50.17/6.71 % SZS status Theorem for theBenchmark: Theorem is valid 50.17/6.71 % SZS output start CNFRefutation for theBenchmark 50.17/6.71 fof(f6,axiom,( 50.17/6.71 (! [Ax,C] :( status(Ax,C,cax)<=> ~ (? [I1] : model(I1,Ax) )) )), 50.17/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 50.17/6.71 fof(f9,axiom,( 50.17/6.71 (! [Ax,C] :( status(Ax,C,thm)<=> (! [I1] :( model(I1,C)<= model(I1,Ax) ) )) )), 50.17/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 50.17/6.71 fof(f17,axiom,( 50.17/6.71 (! [Ax,C] :( status(Ax,C,sat)<=> (? [I1] :( model(I1,C)& model(I1,Ax) ) )) )), 50.17/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 50.17/6.71 fof(f20,axiom,( 50.17/6.71 (? [I1,Ax,C] :( ~ model(I1,C)& (? [I2] : model(I2,C))& model(I1,Ax) ) )), 50.17/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 50.17/6.71 fof(f23,axiom,( 50.17/6.71 (! [I,F] :( model(I,not(F))<~> model(I,F) ) )), 50.17/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 50.17/6.71 fof(f28,axiom,( 50.17/6.71 (! [S1,S2] :( nota(S1,S2)<=> (? [Ax,C] :( ~ status(Ax,C,S2)& status(Ax,C,S1) ) )) )), 50.17/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 50.17/6.71 fof(f31,axiom,( 50.17/6.71 (? [F] :(! [I] : model(I,F) ))), 50.17/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 50.17/6.71 fof(f33,conjecture,( 50.17/6.71 nota(sat,thm) ), 50.17/6.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 50.17/6.71 fof(f34,negated_conjecture,( 50.17/6.71 ~(nota(sat,thm) )), 50.17/6.71 inference(negated_conjecture,[status(cth)],[f33])). 50.17/6.71 fof(f74,plain,( 50.17/6.71 ![Ax,C]: (status(Ax,C,cax)<=>(![I1]: ~model(I1,Ax)))), 50.17/6.71 inference(pre_NNF_transformation,[status(esa)],[f6])). 50.17/6.71 fof(f75,plain,( 50.17/6.71 ![Ax,C]: ((~status(Ax,C,cax)|(![I1]: ~model(I1,Ax)))&(status(Ax,C,cax)|(?[I1]: model(I1,Ax))))), 50.17/6.71 inference(NNF_transformation,[status(esa)],[f74])). 50.17/6.71 fof(f76,plain,( 50.17/6.71 (![Ax]: ((![C]: ~status(Ax,C,cax))|(![I1]: ~model(I1,Ax))))&(![Ax]: ((![C]: status(Ax,C,cax))|(?[I1]: model(I1,Ax))))), 50.17/6.71 inference(miniscoping,[status(esa)],[f75])). 50.17/6.71 fof(f77,plain,( 50.17/6.71 (![Ax]: ((![C]: ~status(Ax,C,cax))|(![I1]: ~model(I1,Ax))))&(![Ax]: ((![C]: status(Ax,C,cax))|model(sk0_14(Ax),Ax)))), 50.17/6.71 inference(skolemization,[status(esa)],[f76])). 50.17/6.71 fof(f78,plain,( 50.17/6.71 ![X0,X1,X2]: (~status(X0,X1,cax)|~model(X2,X0))), 50.17/6.71 inference(cnf_transformation,[status(esa)],[f77])). 50.17/6.71 fof(f79,plain,( 50.17/6.71 ![X0,X1]: (status(X0,X1,cax)|model(sk0_14(X0),X0))), 50.17/6.71 inference(cnf_transformation,[status(esa)],[f77])). 50.17/6.71 fof(f98,plain,( 50.17/6.71 ![Ax,C]: (status(Ax,C,thm)<=>(![I1]: (model(I1,C)|~model(I1,Ax))))), 50.17/6.71 inference(pre_NNF_transformation,[status(esa)],[f9])). 50.17/6.71 fof(f99,plain,( 50.17/6.71 ![Ax,C]: ((~status(Ax,C,thm)|(![I1]: (model(I1,C)|~model(I1,Ax))))&(status(Ax,C,thm)|(?[I1]: (~model(I1,C)&model(I1,Ax)))))), 50.17/6.71 inference(NNF_transformation,[status(esa)],[f98])). 50.17/6.71 fof(f100,plain,( 50.17/6.71 (![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)))))), 50.17/6.71 inference(miniscoping,[status(esa)],[f99])). 50.17/6.71 fof(f101,plain,( 50.17/6.71 (![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))))), 50.17/6.71 inference(skolemization,[status(esa)],[f100])). 50.17/6.71 fof(f102,plain,( 50.17/6.71 ![X0,X1,X2]: (~status(X0,X1,thm)|model(X2,X1)|~model(X2,X0))), 50.17/6.71 inference(cnf_transformation,[status(esa)],[f101])). 50.17/6.71 fof(f155,plain,( 50.17/6.71 ![Ax,C]: ((~status(Ax,C,sat)|(?[I1]: (model(I1,C)&model(I1,Ax))))&(status(Ax,C,sat)|(![I1]: (~model(I1,C)|~model(I1,Ax)))))), 50.17/6.71 inference(NNF_transformation,[status(esa)],[f17])). 50.17/6.71 fof(f156,plain,( 50.17/6.71 (![Ax,C]: (~status(Ax,C,sat)|(?[I1]: (model(I1,C)&model(I1,Ax)))))&(![Ax,C]: (status(Ax,C,sat)|(![I1]: (~model(I1,C)|~model(I1,Ax)))))), 50.17/6.71 inference(miniscoping,[status(esa)],[f155])). 50.17/6.71 fof(f157,plain,( 50.17/6.71 (![Ax,C]: (~status(Ax,C,sat)|(model(sk0_37(C,Ax),C)&model(sk0_37(C,Ax),Ax))))&(![Ax,C]: (status(Ax,C,sat)|(![I1]: (~model(I1,C)|~model(I1,Ax)))))), 50.17/6.71 inference(skolemization,[status(esa)],[f156])). 50.17/6.71 fof(f160,plain,( 50.17/6.71 ![X0,X1,X2]: (status(X0,X1,sat)|~model(X2,X1)|~model(X2,X0))), 50.17/6.71 inference(cnf_transformation,[status(esa)],[f157])). 50.17/6.71 fof(f174,plain,( 50.17/6.71 ?[I1]: ((?[C]: (~model(I1,C)&(?[I2]: model(I2,C))))&(?[Ax]: model(I1,Ax)))), 50.17/6.71 inference(miniscoping,[status(esa)],[f20])). 50.17/6.71 fof(f175,plain,( 50.17/6.71 ((~model(sk0_42,sk0_43)&model(sk0_44,sk0_43))&model(sk0_42,sk0_45))), 50.78/6.76 inference(skolemization,[status(esa)],[f174])). 50.78/6.76 fof(f176,plain,( 50.78/6.76 ~model(sk0_42,sk0_43)), 50.78/6.76 inference(cnf_transformation,[status(esa)],[f175])). 50.78/6.76 fof(f177,plain,( 50.78/6.76 model(sk0_44,sk0_43)), 50.78/6.76 inference(cnf_transformation,[status(esa)],[f175])). 50.78/6.76 fof(f191,plain,( 50.78/6.76 ![I,F]: ((model(I,not(F))|model(I,F))&(~model(I,not(F))|~model(I,F)))), 50.78/6.76 inference(NNF_transformation,[status(esa)],[f23])). 50.78/6.76 fof(f192,plain,( 50.78/6.76 (![I,F]: (model(I,not(F))|model(I,F)))&(![I,F]: (~model(I,not(F))|~model(I,F)))), 50.78/6.76 inference(miniscoping,[status(esa)],[f191])). 50.78/6.76 fof(f193,plain,( 50.78/6.76 ![X0,X1]: (model(X0,not(X1))|model(X0,X1))), 50.78/6.76 inference(cnf_transformation,[status(esa)],[f192])). 50.78/6.76 fof(f194,plain,( 50.78/6.76 ![X0,X1]: (~model(X0,not(X1))|~model(X0,X1))), 50.78/6.76 inference(cnf_transformation,[status(esa)],[f192])). 50.78/6.76 fof(f220,plain,( 50.78/6.76 ![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)))))), 50.78/6.76 inference(NNF_transformation,[status(esa)],[f28])). 50.78/6.76 fof(f221,plain,( 50.78/6.76 (![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)))))), 50.78/6.76 inference(miniscoping,[status(esa)],[f220])). 50.78/6.76 fof(f222,plain,( 50.78/6.76 (![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)))))), 50.78/6.76 inference(skolemization,[status(esa)],[f221])). 50.78/6.76 fof(f225,plain,( 50.78/6.76 ![X0,X1,X2,X3]: (nota(X0,X1)|status(X2,X3,X1)|~status(X2,X3,X0))), 50.78/6.76 inference(cnf_transformation,[status(esa)],[f222])). 50.78/6.76 fof(f234,plain,( 50.78/6.76 ![I]: model(I,sk0_67)), 50.78/6.76 inference(skolemization,[status(esa)],[f31])). 50.78/6.76 fof(f235,plain,( 50.78/6.76 ![X0]: (model(X0,sk0_67))), 50.78/6.76 inference(cnf_transformation,[status(esa)],[f234])). 50.78/6.76 fof(f239,plain,( 50.78/6.76 ~nota(sat,thm)), 50.78/6.76 inference(cnf_transformation,[status(esa)],[f34])). 50.78/6.76 fof(f887,plain,( 50.78/6.76 ![X0]: (~status(sk0_43,X0,cax))), 50.78/6.76 inference(resolution,[status(thm)],[f78,f177])). 50.78/6.76 fof(f900,plain,( 50.78/6.76 ![X0,X1,X2]: (~status(not(X0),X1,cax)|model(X2,X0))), 50.78/6.76 inference(resolution,[status(thm)],[f78,f193])). 50.78/6.76 fof(f949,plain,( 50.78/6.76 ![X0,X1,X2]: (~status(not(not(X0)),X1,cax)|~model(X2,X0))), 50.78/6.76 inference(resolution,[status(thm)],[f900,f194])). 50.78/6.76 fof(f958,plain,( 50.78/6.76 ![X0,X1]: (~model(X0,X1)|model(sk0_14(not(not(X1))),not(not(X1))))), 50.78/6.76 inference(resolution,[status(thm)],[f949,f79])). 50.78/6.76 fof(f1521,plain,( 50.78/6.76 model(sk0_14(sk0_43),sk0_43)), 50.78/6.76 inference(resolution,[status(thm)],[f887,f79])). 50.78/6.76 fof(f1898,plain,( 50.78/6.76 ![X0,X1,X2]: (~status(X0,not(X1),thm)|~model(X2,X0)|~model(X2,X1))), 50.78/6.76 inference(resolution,[status(thm)],[f102,f194])). 50.78/6.76 fof(f2096,plain,( 50.78/6.76 ![X0,X1]: (~status(sk0_67,not(X0),thm)|~model(X1,X0))), 50.78/6.76 inference(resolution,[status(thm)],[f1898,f235])). 50.78/6.76 fof(f2329,plain,( 50.78/6.76 ![X0,X1]: (~status(sk0_67,not(not(X0)),thm)|model(X1,X0))), 50.78/6.76 inference(resolution,[status(thm)],[f2096,f193])). 50.78/6.76 fof(f2884,plain,( 50.78/6.76 ~status(sk0_67,not(not(sk0_43)),thm)), 50.78/6.76 inference(resolution,[status(thm)],[f2329,f176])). 50.78/6.76 fof(f12206,plain,( 50.78/6.76 ![X0]: (nota(X0,thm)|~status(sk0_67,not(not(sk0_43)),X0))), 50.78/6.76 inference(resolution,[status(thm)],[f225,f2884])). 50.78/6.76 fof(f34555,plain,( 50.78/6.76 ~status(sk0_67,not(not(sk0_43)),sat)), 50.78/6.76 inference(resolution,[status(thm)],[f12206,f239])). 50.78/6.76 fof(f34557,plain,( 50.78/6.76 ![X0]: (~model(X0,not(not(sk0_43)))|~model(X0,sk0_67))), 50.78/6.76 inference(resolution,[status(thm)],[f34555,f160])). 50.78/6.76 fof(f34558,plain,( 50.78/6.76 ![X0]: (~model(X0,not(not(sk0_43))))), 50.78/6.76 inference(forward_subsumption_resolution,[status(thm)],[f34557,f235])). 50.78/6.76 fof(f69581,plain,( 50.78/6.76 ![X0]: (~model(X0,sk0_43))), 50.78/6.76 inference(resolution,[status(thm)],[f958,f34558])). 50.78/6.76 fof(f70190,plain,( 50.78/6.76 $false), 50.78/6.76 inference(backward_subsumption_resolution,[status(thm)],[f1521,f69581])). 50.78/6.76 % SZS output end CNFRefutation for theBenchmark.p 50.82/6.78 % Elapsed time: 6.429779 seconds 50.82/6.78 % CPU time: 50.919960 seconds 50.82/6.78 % Memory used: 349.642 MB 50.82/6.78 EOF