0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.33 % Computer : n010.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 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:15:35 EDT 2022 0.13/0.34 % CPUTime : 0.13/0.34 This is a FOF_ problem 0.13/0.34 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.35 % (28094)Running in auto input_syntax mode. Trying TPTP 0.21/0.41 % (28098)dis+11_3_av=off:fsr=off:lcm=predicate:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=1.2:sos=on:updr=off_4 on theBenchmark 0.21/0.41 % (28099)dis+1_5:1_aac=none:afr=on:afp=100000:afq=1.4:amm=sco:anc=none:br=off:gsp=on:gs=on:gsem=on:lcm=reverse:nm=6:nwc=1:nicw=on:sas=z3:sos=on:urr=on_1 on theBenchmark 0.21/0.41 % (28102)dis-1_2:3_av=off:cond=on:fsr=off:irw=on:lma=on:nwc=3:sd=3:ss=axioms:st=3.0:sp=occurrence:updr=off_9 on theBenchmark 0.21/0.41 % (28101)dis+1002_8:1_av=off:br=off:cond=on:irw=on:lma=on:nm=32:nwc=1:sp=occurrence:urr=on_89 on theBenchmark 0.21/0.42 % (28097)dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=on:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off_8 on theBenchmark 0.21/0.42 % (28100)dis+11_2:1_add=large:afp=1000:afq=1.2:amm=sco:anc=none:cond=on:gs=on:gsem=off:nm=16:newcnf=on:nwc=1:sas=z3:sd=1:ss=axioms:st=1.2:sos=on:sp=reverse_arity:updr=off_5 on theBenchmark 0.21/0.42 % (28104)lrs+1_8:1_av=off:cond=fast:fde=unused:lcm=predicate:nm=16:nwc=10:stl=60:sp=occurrence:urr=ec_only_3 on theBenchmark 0.21/0.43 % (28103)dis+10_3_add=off:afp=40000:afq=1.0:amm=sco:anc=none:er=filter:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1.3:sp=reverse_arity:updr=off_2 on theBenchmark 0.21/0.49 % (28098)First to succeed. 0.21/0.49 % (28098)Refutation found. Thanks to Tanya! 0.21/0.49 % SZS status Theorem for theBenchmark 0.21/0.49 % SZS output start Proof for theBenchmark 0.21/0.49 fof(f2862,plain,( 0.21/0.49 $false), 0.21/0.49 inference(trivial_inequality_removal,[],[f2861])). 0.21/0.49 fof(f2861,plain,( 0.21/0.49 init != init), 0.21/0.49 inference(superposition,[],[f2635,f166])). 0.21/0.49 fof(f166,plain,( 0.21/0.49 init = a_select2(mu_init,pv40)), 0.21/0.49 inference(cnf_transformation,[],[f151])). 0.21/0.49 fof(f151,plain,( 0.21/0.49 (init != a_select2(mu_init,sK0) & leq(n0,sK0) & leq(sK0,pv40)) & init = a_select2(mu_init,pv40) & leq(n0,pv40) & leq(pv40,n4) & ! [X1] : (! [X2] : (init = a_select3(q_init,X1,X2) | ~leq(X2,n4) | ~leq(n0,X2)) | ~leq(n0,X1) | ~leq(X1,n135299)) & ! [X3] : (init = a_select2(rho_init,X3) | ~leq(X3,n4) | ~leq(n0,X3)) & ! [X4] : (init = a_select2(mu_init,X4) | ~leq(X4,pred(pv40)) | ~leq(n0,X4)) & ! [X5] : (init = a_select3(center_init,X5,n0) | ~leq(X5,n4) | ~leq(n0,X5)) & (! [X6] : (init = a_select2(sigmaold_init,X6) | ~leq(n0,X6) | ~leq(X6,n4)) | ~gt(loopcounter,n1)) & (! [X7] : (init = a_select2(rhoold_init,X7) | ~leq(n0,X7) | ~leq(X7,n4)) | ~gt(loopcounter,n1)) & (! [X8] : (init = a_select2(muold_init,X8) | ~leq(n0,X8) | ~leq(X8,n4)) | ~gt(loopcounter,n1)) & ! [X9] : (init = a_select2(sigma_init,X9) | ~leq(X9,pred(pv40)) | ~leq(n0,X9)) & init = a_select2(sigma_init,pv40)), 0.21/0.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f149,f150])). 0.21/0.49 fof(f150,plain,( 0.21/0.49 ? [X0] : (init != a_select2(mu_init,X0) & leq(n0,X0) & leq(X0,pv40)) => (init != a_select2(mu_init,sK0) & leq(n0,sK0) & leq(sK0,pv40))), 0.21/0.49 introduced(choice_axiom,[])). 0.21/0.49 fof(f149,plain,( 0.21/0.49 ? [X0] : (init != a_select2(mu_init,X0) & leq(n0,X0) & leq(X0,pv40)) & init = a_select2(mu_init,pv40) & leq(n0,pv40) & leq(pv40,n4) & ! [X1] : (! [X2] : (init = a_select3(q_init,X1,X2) | ~leq(X2,n4) | ~leq(n0,X2)) | ~leq(n0,X1) | ~leq(X1,n135299)) & ! [X3] : (init = a_select2(rho_init,X3) | ~leq(X3,n4) | ~leq(n0,X3)) & ! [X4] : (init = a_select2(mu_init,X4) | ~leq(X4,pred(pv40)) | ~leq(n0,X4)) & ! [X5] : (init = a_select3(center_init,X5,n0) | ~leq(X5,n4) | ~leq(n0,X5)) & (! [X6] : (init = a_select2(sigmaold_init,X6) | ~leq(n0,X6) | ~leq(X6,n4)) | ~gt(loopcounter,n1)) & (! [X7] : (init = a_select2(rhoold_init,X7) | ~leq(n0,X7) | ~leq(X7,n4)) | ~gt(loopcounter,n1)) & (! [X8] : (init = a_select2(muold_init,X8) | ~leq(n0,X8) | ~leq(X8,n4)) | ~gt(loopcounter,n1)) & ! [X9] : (init = a_select2(sigma_init,X9) | ~leq(X9,pred(pv40)) | ~leq(n0,X9)) & init = a_select2(sigma_init,pv40)), 0.21/0.49 inference(rectify,[],[f127])). 0.21/0.49 fof(f127,plain,( 0.21/0.49 ? [X9] : (init != a_select2(mu_init,X9) & leq(n0,X9) & leq(X9,pv40)) & init = a_select2(mu_init,pv40) & leq(n0,pv40) & leq(pv40,n4) & ! [X0] : (! [X1] : (init = a_select3(q_init,X0,X1) | ~leq(X1,n4) | ~leq(n0,X1)) | ~leq(n0,X0) | ~leq(X0,n135299)) & ! [X2] : (init = a_select2(rho_init,X2) | ~leq(X2,n4) | ~leq(n0,X2)) & ! [X3] : (init = a_select2(mu_init,X3) | ~leq(X3,pred(pv40)) | ~leq(n0,X3)) & ! [X4] : (init = a_select3(center_init,X4,n0) | ~leq(X4,n4) | ~leq(n0,X4)) & (! [X5] : (init = a_select2(sigmaold_init,X5) | ~leq(n0,X5) | ~leq(X5,n4)) | ~gt(loopcounter,n1)) & (! [X6] : (init = a_select2(rhoold_init,X6) | ~leq(n0,X6) | ~leq(X6,n4)) | ~gt(loopcounter,n1)) & (! [X7] : (init = a_select2(muold_init,X7) | ~leq(n0,X7) | ~leq(X7,n4)) | ~gt(loopcounter,n1)) & ! [X8] : (init = a_select2(sigma_init,X8) | ~leq(X8,pred(pv40)) | ~leq(n0,X8)) & init = a_select2(sigma_init,pv40)), 0.21/0.49 inference(flattening,[],[f126])). 0.21/0.49 fof(f126,plain,( 0.21/0.49 ? [X9] : (init != a_select2(mu_init,X9) & (leq(n0,X9) & leq(X9,pv40))) & (init = a_select2(mu_init,pv40) & leq(n0,pv40) & leq(pv40,n4) & ! [X0] : (! [X1] : (init = a_select3(q_init,X0,X1) | (~leq(X1,n4) | ~leq(n0,X1))) | (~leq(n0,X0) | ~leq(X0,n135299))) & ! [X2] : (init = a_select2(rho_init,X2) | (~leq(X2,n4) | ~leq(n0,X2))) & ! [X3] : (init = a_select2(mu_init,X3) | (~leq(X3,pred(pv40)) | ~leq(n0,X3))) & ! [X4] : (init = a_select3(center_init,X4,n0) | (~leq(X4,n4) | ~leq(n0,X4))) & (! [X5] : (init = a_select2(sigmaold_init,X5) | (~leq(n0,X5) | ~leq(X5,n4))) | ~gt(loopcounter,n1)) & (! [X6] : (init = a_select2(rhoold_init,X6) | (~leq(n0,X6) | ~leq(X6,n4))) | ~gt(loopcounter,n1)) & (! [X7] : (init = a_select2(muold_init,X7) | (~leq(n0,X7) | ~leq(X7,n4))) | ~gt(loopcounter,n1)) & ! [X8] : (init = a_select2(sigma_init,X8) | (~leq(X8,pred(pv40)) | ~leq(n0,X8))) & init = a_select2(sigma_init,pv40))), 0.21/0.49 inference(ennf_transformation,[],[f94])). 0.21/0.49 fof(f94,plain,( 0.21/0.49 ~((init = a_select2(mu_init,pv40) & leq(n0,pv40) & leq(pv40,n4) & ! [X0] : ((leq(n0,X0) & leq(X0,n135299)) => ! [X1] : ((leq(X1,n4) & leq(n0,X1)) => init = a_select3(q_init,X0,X1))) & ! [X2] : ((leq(X2,n4) & leq(n0,X2)) => init = a_select2(rho_init,X2)) & ! [X3] : ((leq(X3,pred(pv40)) & leq(n0,X3)) => init = a_select2(mu_init,X3)) & ! [X4] : ((leq(X4,n4) & leq(n0,X4)) => init = a_select3(center_init,X4,n0)) & (gt(loopcounter,n1) => ! [X5] : ((leq(n0,X5) & leq(X5,n4)) => init = a_select2(sigmaold_init,X5))) & (gt(loopcounter,n1) => ! [X6] : ((leq(n0,X6) & leq(X6,n4)) => init = a_select2(rhoold_init,X6))) & (gt(loopcounter,n1) => ! [X7] : ((leq(n0,X7) & leq(X7,n4)) => init = a_select2(muold_init,X7))) & ! [X8] : ((leq(X8,pred(pv40)) & leq(n0,X8)) => init = a_select2(sigma_init,X8)) & init = a_select2(sigma_init,pv40)) => ! [X9] : ((leq(n0,X9) & leq(X9,pv40)) => init = a_select2(mu_init,X9)))), 0.21/0.49 inference(rectify,[],[f78])). 0.21/0.49 fof(f78,negated_conjecture,( 0.21/0.49 ~((init = a_select2(mu_init,pv40) & leq(n0,pv40) & leq(pv40,n4) & ! [X0] : ((leq(n0,X0) & leq(X0,n135299)) => ! [X1] : ((leq(X1,n4) & leq(n0,X1)) => init = a_select3(q_init,X0,X1))) & ! [X2] : ((leq(X2,n4) & leq(n0,X2)) => init = a_select2(rho_init,X2)) & ! [X3] : ((leq(X3,pred(pv40)) & leq(n0,X3)) => init = a_select2(mu_init,X3)) & ! [X5] : ((leq(X5,n4) & leq(n0,X5)) => init = a_select3(center_init,X5,n0)) & (gt(loopcounter,n1) => ! [X8] : ((leq(n0,X8) & leq(X8,n4)) => init = a_select2(sigmaold_init,X8))) & (gt(loopcounter,n1) => ! [X28] : ((leq(n0,X28) & leq(X28,n4)) => init = a_select2(rhoold_init,X28))) & (gt(loopcounter,n1) => ! [X27] : ((leq(n0,X27) & leq(X27,n4)) => init = a_select2(muold_init,X27))) & ! [X4] : ((leq(X4,pred(pv40)) & leq(n0,X4)) => init = a_select2(sigma_init,X4)) & init = a_select2(sigma_init,pv40)) => ! [X9] : ((leq(n0,X9) & leq(X9,pv40)) => init = a_select2(mu_init,X9)))), 0.21/0.49 inference(negated_conjecture,[],[f77])). 0.21/0.49 fof(f77,conjecture,( 0.21/0.49 (init = a_select2(mu_init,pv40) & leq(n0,pv40) & leq(pv40,n4) & ! [X0] : ((leq(n0,X0) & leq(X0,n135299)) => ! [X1] : ((leq(X1,n4) & leq(n0,X1)) => init = a_select3(q_init,X0,X1))) & ! [X2] : ((leq(X2,n4) & leq(n0,X2)) => init = a_select2(rho_init,X2)) & ! [X3] : ((leq(X3,pred(pv40)) & leq(n0,X3)) => init = a_select2(mu_init,X3)) & ! [X5] : ((leq(X5,n4) & leq(n0,X5)) => init = a_select3(center_init,X5,n0)) & (gt(loopcounter,n1) => ! [X8] : ((leq(n0,X8) & leq(X8,n4)) => init = a_select2(sigmaold_init,X8))) & (gt(loopcounter,n1) => ! [X28] : ((leq(n0,X28) & leq(X28,n4)) => init = a_select2(rhoold_init,X28))) & (gt(loopcounter,n1) => ! [X27] : ((leq(n0,X27) & leq(X27,n4)) => init = a_select2(muold_init,X27))) & ! [X4] : ((leq(X4,pred(pv40)) & leq(n0,X4)) => init = a_select2(sigma_init,X4)) & init = a_select2(sigma_init,pv40)) => ! [X9] : ((leq(n0,X9) & leq(X9,pv40)) => init = a_select2(mu_init,X9))), 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0011)). 0.21/0.49 fof(f2635,plain,( 0.21/0.49 init != a_select2(mu_init,pv40)), 0.21/0.49 inference(backward_demodulation,[],[f169,f2632])). 0.21/0.49 fof(f2632,plain,( 0.21/0.49 pv40 = sK0), 0.21/0.49 inference(trivial_inequality_removal,[],[f2631])). 0.21/0.49 fof(f2631,plain,( 0.21/0.49 init != init | pv40 = sK0), 0.21/0.49 inference(superposition,[],[f169,f2630])). 0.21/0.49 fof(f2630,plain,( 0.21/0.49 init = a_select2(mu_init,sK0) | pv40 = sK0), 0.21/0.49 inference(resolution,[],[f772,f168])). 0.21/0.49 fof(f168,plain,( 0.21/0.49 leq(n0,sK0)), 0.21/0.49 inference(cnf_transformation,[],[f151])). 0.21/0.49 fof(f772,plain,( 0.21/0.49 ~leq(n0,sK0) | init = a_select2(mu_init,sK0) | pv40 = sK0), 0.21/0.49 inference(resolution,[],[f549,f161])). 0.21/0.49 fof(f161,plain,( 0.21/0.49 ( ! [X4] : (~leq(X4,pred(pv40)) | init = a_select2(mu_init,X4) | ~leq(n0,X4)) )), 0.21/0.49 inference(cnf_transformation,[],[f151])). 0.21/0.49 fof(f549,plain,( 0.21/0.49 leq(sK0,pred(pv40)) | pv40 = sK0), 0.21/0.49 inference(resolution,[],[f282,f192])). 0.21/0.49 fof(f192,plain,( 0.21/0.49 ( ! [X0,X1] : (~gt(X1,X0) | leq(X0,pred(X1))) )), 0.21/0.49 inference(cnf_transformation,[],[f152])). 0.21/0.49 fof(f152,plain,( 0.21/0.49 ! [X0,X1] : ((leq(X0,pred(X1)) | ~gt(X1,X0)) & (gt(X1,X0) | ~leq(X0,pred(X1))))), 0.21/0.49 inference(nnf_transformation,[],[f101])). 0.21/0.49 fof(f101,plain,( 0.21/0.49 ! [X0,X1] : (leq(X0,pred(X1)) <=> gt(X1,X0))), 0.21/0.49 inference(rectify,[],[f47])). 0.21/0.49 fof(f47,axiom,( 0.21/0.49 ! [X12,X13] : (leq(X12,pred(X13)) <=> gt(X13,X12))), 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred)). 0.21/0.49 fof(f282,plain,( 0.21/0.49 gt(pv40,sK0) | pv40 = sK0), 0.21/0.49 inference(resolution,[],[f167,f196])). 0.21/0.49 fof(f196,plain,( 0.21/0.49 ( ! [X0,X1] : (~leq(X0,X1) | X0 = X1 | gt(X1,X0)) )), 0.21/0.49 inference(cnf_transformation,[],[f139])). 0.21/0.49 fof(f139,plain,( 0.21/0.49 ! [X0,X1] : (gt(X1,X0) | X0 = X1 | ~leq(X0,X1))), 0.21/0.49 inference(flattening,[],[f138])). 0.21/0.49 fof(f138,plain,( 0.21/0.49 ! [X0,X1] : (gt(X1,X0) | (X0 = X1 | ~leq(X0,X1)))), 0.21/0.49 inference(ennf_transformation,[],[f105])). 0.21/0.49 fof(f105,plain,( 0.21/0.49 ! [X0,X1] : ((X0 != X1 & leq(X0,X1)) => gt(X1,X0))), 0.21/0.49 inference(rectify,[],[f38])). 0.21/0.49 fof(f38,axiom,( 0.21/0.49 ! [X12,X13] : ((X12 != X13 & leq(X12,X13)) => gt(X13,X12))), 0.21/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2)). 0.21/0.49 fof(f167,plain,( 0.21/0.49 leq(sK0,pv40)), 0.21/0.49 inference(cnf_transformation,[],[f151])). 0.21/0.49 fof(f169,plain,( 0.21/0.49 init != a_select2(mu_init,sK0)), 0.21/0.49 inference(cnf_transformation,[],[f151])). 0.21/0.49 % SZS output end Proof for theBenchmark 0.21/0.49 % (28098)------------------------------ 0.21/0.49 % (28098)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.21/0.49 % (28098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.21/0.49 % (28098)Termination reason: Refutation 0.21/0.49 0.21/0.49 % (28098)Memory used [KB]: 3070 0.21/0.49 % (28098)Time elapsed: 0.073 s 0.21/0.49 % (28098)------------------------------ 0.21/0.49 % (28098)------------------------------ 0.21/0.49 % (28094)Success in time 0.139 s 0.21/0.49 EOF