0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --mode casc -t %d %s 0.13/0.35 % Computer : n004.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % DateTime : Thu Jul 2 07:27:13 EDT 2020 0.13/0.35 % CPUTime : 0.20/0.42 % dis+10_1_add=off:afp=4000:afq=1.2:anc=none:br=off:cond=on:gs=on:irw=on:lcm=reverse:nwc=10:sd=10:ss=axioms:sos=theory:sac=on:sp=occurrence:urr=on_2 on theBenchmark 0.20/0.43 % Refutation found. Thanks to Tanya! 0.20/0.43 % SZS status Theorem for theBenchmark 0.20/0.43 % SZS output start Proof for theBenchmark 0.20/0.43 fof(f841,plain,( 0.20/0.43 $false), 0.20/0.43 inference(global_subsumption,[],[f501,f491,f840])). 0.20/0.43 fof(f840,plain,( 0.20/0.43 ~aElement0(sdtasdt0(xy,xa)) | ~aElement0(sdtasdt0(xx,xb))), 0.20/0.43 inference(subsumption_resolution,[],[f839,f186])). 0.20/0.43 fof(f186,plain,( 0.20/0.43 ~aElement0(xw)), 0.20/0.43 inference(unit_resulting_resolution,[],[f105,f106,f103])). 0.20/0.43 fof(f103,plain,( 0.20/0.43 ( ! [X0] : (~aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) | ~aElementOf0(sdtpldt0(X0,smndt0(xx)),xI) | ~aElement0(X0)) )), 0.20/0.43 inference(cnf_transformation,[],[f42])). 0.20/0.43 fof(f42,plain,( 0.20/0.43 ! [X0] : ((~aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) & ~sdteqdtlpzmzozddtrp0(X0,xy,xJ)) | (~sdteqdtlpzmzozddtrp0(X0,xx,xI) & ~aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)) | ~aElement0(X0))), 0.20/0.43 inference(ennf_transformation,[],[f23])). 0.20/0.43 fof(f23,negated_conjecture,( 0.20/0.43 ~? [X0] : ((aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) | sdteqdtlpzmzozddtrp0(X0,xy,xJ)) & (sdteqdtlpzmzozddtrp0(X0,xx,xI) | aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)) & aElement0(X0))), 0.20/0.43 inference(negated_conjecture,[],[f22])). 0.20/0.43 fof(f22,conjecture,( 0.20/0.43 ? [X0] : ((aElementOf0(sdtpldt0(X0,smndt0(xy)),xJ) | sdteqdtlpzmzozddtrp0(X0,xy,xJ)) & (sdteqdtlpzmzozddtrp0(X0,xx,xI) | aElementOf0(sdtpldt0(X0,smndt0(xx)),xI)) & aElement0(X0))), 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)). 0.20/0.43 fof(f106,plain,( 0.20/0.43 aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)), 0.20/0.43 inference(cnf_transformation,[],[f26])). 0.20/0.43 fof(f26,axiom,( 0.20/0.43 aElementOf0(sdtpldt0(xw,smndt0(xx)),xI)), 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1332)). 0.20/0.43 fof(f105,plain,( 0.20/0.43 aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ)), 0.20/0.43 inference(cnf_transformation,[],[f35])). 0.20/0.43 fof(f35,axiom,( 0.20/0.43 aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ)), 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409)). 0.20/0.43 fof(f839,plain,( 0.20/0.43 aElement0(xw) | ~aElement0(sdtasdt0(xy,xa)) | ~aElement0(sdtasdt0(xx,xb))), 0.20/0.43 inference(superposition,[],[f129,f107])). 0.20/0.43 fof(f107,plain,( 0.20/0.43 sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw), 0.20/0.43 inference(cnf_transformation,[],[f31])). 0.20/0.43 fof(f31,axiom,( 0.20/0.43 sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw), 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1319)). 0.20/0.43 fof(f129,plain,( 0.20/0.43 ( ! [X0,X1] : (aElement0(sdtpldt0(X0,X1)) | ~aElement0(X0) | ~aElement0(X1)) )), 0.20/0.43 inference(cnf_transformation,[],[f52])). 0.20/0.43 fof(f52,plain,( 0.20/0.43 ! [X0,X1] : (aElement0(sdtpldt0(X0,X1)) | ~aElement0(X0) | ~aElement0(X1))), 0.20/0.43 inference(flattening,[],[f51])). 0.20/0.43 fof(f51,plain,( 0.20/0.43 ! [X0,X1] : (aElement0(sdtpldt0(X0,X1)) | (~aElement0(X0) | ~aElement0(X1)))), 0.20/0.43 inference(ennf_transformation,[],[f25])). 0.20/0.43 fof(f25,axiom,( 0.20/0.43 ! [X0,X1] : ((aElement0(X0) & aElement0(X1)) => aElement0(sdtpldt0(X0,X1)))), 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB)). 0.20/0.43 fof(f491,plain,( 0.20/0.43 aElement0(sdtasdt0(xx,xb))), 0.20/0.43 inference(unit_resulting_resolution,[],[f218,f116,f135])). 0.20/0.43 fof(f135,plain,( 0.20/0.43 ( ! [X0,X1] : (aElement0(sdtasdt0(X0,X1)) | ~aElement0(X0) | ~aElement0(X1)) )), 0.20/0.43 inference(cnf_transformation,[],[f61])). 0.20/0.43 fof(f61,plain,( 0.20/0.43 ! [X0,X1] : (aElement0(sdtasdt0(X0,X1)) | ~aElement0(X0) | ~aElement0(X1))), 0.20/0.43 inference(flattening,[],[f60])). 0.20/0.43 fof(f60,plain,( 0.20/0.43 ! [X0,X1] : (aElement0(sdtasdt0(X0,X1)) | (~aElement0(X0) | ~aElement0(X1)))), 0.20/0.43 inference(ennf_transformation,[],[f6])). 0.20/0.43 fof(f6,axiom,( 0.20/0.43 ! [X0,X1] : ((aElement0(X0) & aElement0(X1)) => aElement0(sdtasdt0(X0,X1)))), 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02)). 0.20/0.43 fof(f116,plain,( 0.20/0.43 aElement0(xx)), 0.20/0.43 inference(cnf_transformation,[],[f7])). 0.20/0.43 fof(f7,axiom,( 0.20/0.43 aElement0(xy) & aElement0(xx)), 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217)). 0.20/0.43 fof(f218,plain,( 0.20/0.43 aElement0(xb)), 0.20/0.43 inference(unit_resulting_resolution,[],[f112,f119,f148])). 0.20/0.43 fof(f148,plain,( 0.20/0.43 ( ! [X0,X1] : (~aElementOf0(X1,X0) | aElement0(X1) | ~aSet0(X0)) )), 0.20/0.43 inference(cnf_transformation,[],[f65])). 0.20/0.43 fof(f65,plain,( 0.20/0.43 ! [X0] : (! [X1] : (aElement0(X1) | ~aElementOf0(X1,X0)) | ~aSet0(X0))), 0.20/0.43 inference(ennf_transformation,[],[f19])). 0.20/0.43 fof(f19,axiom,( 0.20/0.43 ! [X0] : (aSet0(X0) => ! [X1] : (aElementOf0(X1,X0) => aElement0(X1)))), 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem)). 0.20/0.43 fof(f119,plain,( 0.20/0.43 aElementOf0(xb,xJ)), 0.20/0.43 inference(cnf_transformation,[],[f21])). 0.20/0.43 fof(f21,axiom,( 0.20/0.43 aElementOf0(xa,xI) & aElementOf0(xb,xJ) & sdtpldt0(xa,xb) = sz10), 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294)). 0.20/0.43 fof(f112,plain,( 0.20/0.43 aSet0(xJ)), 0.20/0.43 inference(cnf_transformation,[],[f43])). 0.20/0.43 fof(f43,plain,( 0.20/0.43 ! [X0] : ((! [X1] : (aElementOf0(sdtpldt0(X0,X1),xJ) | ~aElementOf0(X1,xJ)) & ! [X2] : (aElementOf0(sdtasdt0(X2,X0),xJ) | ~aElement0(X2))) | ~aElementOf0(X0,xJ)) & aIdeal0(xJ) & aSet0(xJ) & aIdeal0(xI) & ! [X3] : ((! [X4] : (aElementOf0(sdtpldt0(X3,X4),xI) | ~aElementOf0(X4,xI)) & ! [X5] : (aElementOf0(sdtasdt0(X5,X3),xI) | ~aElement0(X5))) | ~aElementOf0(X3,xI)) & aSet0(xI)), 0.20/0.43 inference(ennf_transformation,[],[f37])). 0.20/0.43 fof(f37,plain,( 0.20/0.43 ! [X0] : (aElementOf0(X0,xJ) => (! [X1] : (aElementOf0(X1,xJ) => aElementOf0(sdtpldt0(X0,X1),xJ)) & ! [X2] : (aElement0(X2) => aElementOf0(sdtasdt0(X2,X0),xJ)))) & aIdeal0(xJ) & aSet0(xJ) & aIdeal0(xI) & ! [X3] : (aElementOf0(X3,xI) => (! [X4] : (aElementOf0(X4,xI) => aElementOf0(sdtpldt0(X3,X4),xI)) & ! [X5] : (aElement0(X5) => aElementOf0(sdtasdt0(X5,X3),xI)))) & aSet0(xI)), 0.20/0.43 inference(rectify,[],[f32])). 0.20/0.43 fof(f32,axiom,( 0.20/0.43 ! [X0] : (aElementOf0(X0,xJ) => (! [X1] : (aElementOf0(X1,xJ) => aElementOf0(sdtpldt0(X0,X1),xJ)) & ! [X1] : (aElement0(X1) => aElementOf0(sdtasdt0(X1,X0),xJ)))) & aIdeal0(xJ) & aSet0(xJ) & aIdeal0(xI) & ! [X0] : (aElementOf0(X0,xI) => (! [X1] : (aElementOf0(X1,xI) => aElementOf0(sdtpldt0(X0,X1),xI)) & ! [X1] : (aElement0(X1) => aElementOf0(sdtasdt0(X1,X0),xI)))) & aSet0(xI)), 0.20/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205)). 0.20/0.43 fof(f501,plain,( 0.20/0.43 aElement0(sdtasdt0(xy,xa))), 0.20/0.43 inference(unit_resulting_resolution,[],[f217,f117,f135])). 0.20/0.43 fof(f117,plain,( 0.20/0.43 aElement0(xy)), 0.20/0.43 inference(cnf_transformation,[],[f7])). 0.20/0.43 fof(f217,plain,( 0.20/0.43 aElement0(xa)), 0.20/0.43 inference(unit_resulting_resolution,[],[f108,f120,f148])). 0.20/0.43 fof(f120,plain,( 0.20/0.43 aElementOf0(xa,xI)), 0.20/0.43 inference(cnf_transformation,[],[f21])). 0.20/0.43 fof(f108,plain,( 0.20/0.43 aSet0(xI)), 0.20/0.43 inference(cnf_transformation,[],[f43])). 0.20/0.43 % SZS output end Proof for theBenchmark 0.20/0.43 % ------------------------------ 0.20/0.43 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.20/0.43 % Termination reason: Refutation 0.20/0.43 0.20/0.43 % Memory used [KB]: 10746 0.20/0.43 % Time elapsed: 0.017 s 0.20/0.43 % ------------------------------ 0.20/0.43 % ------------------------------ 0.20/0.43 % Success in time 0.079 s 0.20/0.43 EOF