0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : run_vampire %s %d 0.15/0.36 % Computer : n027.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 960 0.15/0.36 % WCLimit : 120 0.15/0.36 % DateTime : Thu Jul 2 07:45:48 EDT 2020 0.15/0.36 % CPUTime : 0.24/0.49 % (29344)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on_3 on theBenchmark 0.24/0.50 % (29362)dis+1_3:2_acc=on:add=off:afr=on:afp=40000:afq=1.0:amm=sco:anc=none:ccuc=small_ones:cond=on:lma=on:nm=64:nwc=1.3:sos=all:urr=on_111 on theBenchmark 0.24/0.51 % (29362)Refutation not found, incomplete strategy% (29362)------------------------------ 0.24/0.51 % (29362)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.24/0.51 % (29362)Termination reason: Refutation not found, incomplete strategy 0.24/0.51 0.24/0.51 % (29362)Memory used [KB]: 6396 0.24/0.51 % (29362)Time elapsed: 0.067 s 0.24/0.51 % (29362)------------------------------ 0.24/0.51 % (29362)------------------------------ 0.24/0.53 % (29339)dis+2_2:1_aac=none:afp=100000:afq=1.1:amm=sco:anc=none:bsr=on:fsr=off:gs=on:gsem=on:lcm=reverse:lma=on:nm=64:nwc=1:sos=on_6 on theBenchmark 0.24/0.53 % (29351)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:bce=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:sas=z3:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.24/0.54 % (29344)Refutation found. Thanks to Tanya! 0.24/0.54 % SZS status Theorem for theBenchmark 0.24/0.54 % SZS output start Proof for theBenchmark 0.24/0.54 fof(f1044,plain,( 0.24/0.54 $false), 0.24/0.54 inference(subsumption_resolution,[],[f1015,f196])). 0.24/0.54 fof(f196,plain,( 0.24/0.54 forallprefers(false,true)), 0.24/0.54 inference(equality_resolution,[],[f195])). 0.24/0.54 fof(f195,plain,( 0.24/0.54 ( ! [X1] : (forallprefers(false,X1) | true != X1) )), 0.24/0.54 inference(equality_resolution,[],[f175])). 0.24/0.54 fof(f175,plain,( 0.24/0.54 ( ! [X0,X1] : (forallprefers(X0,X1) | false != X0 | true != X1) )), 0.24/0.54 inference(cnf_transformation,[],[f100])). 0.24/0.54 fof(f100,plain,( 0.24/0.54 ! [X0,X1] : (forallprefers(X0,X1) | ((~bool(X1) | bool(X0) | ~d(X0) | ~d(X1)) & (false != X0 | true != X1) & (~d(X1) | d(X0))))), 0.24/0.54 inference(ennf_transformation,[],[f78])). 0.24/0.54 fof(f78,plain,( 0.24/0.54 ! [X0,X1] : (((bool(X1) & ~bool(X0) & d(X0) & d(X1)) | (false = X0 & true = X1) | (d(X1) & ~d(X0))) => forallprefers(X0,X1))), 0.24/0.54 inference(unused_predicate_definition_removal,[],[f67])). 0.24/0.54 fof(f67,plain,( 0.24/0.54 ! [X0,X1] : (forallprefers(X0,X1) <=> ((bool(X1) & ~bool(X0) & d(X0) & d(X1)) | (false = X0 & true = X1) | (d(X1) & ~d(X0))))), 0.24/0.54 inference(rectify,[],[f23])). 0.24/0.54 fof(f23,axiom,( 0.24/0.54 ! [X6,X8] : (forallprefers(X6,X8) <=> ((bool(X8) & ~bool(X6) & d(X6) & d(X8)) | (false = X6 & true = X8) | (d(X8) & ~d(X6))))), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_forallprefers)). 0.24/0.54 fof(f1015,plain,( 0.24/0.54 ~forallprefers(false,true)), 0.24/0.54 inference(backward_demodulation,[],[f580,f1011])). 0.24/0.54 fof(f1011,plain,( 0.24/0.54 true = false2), 0.24/0.54 inference(forward_demodulation,[],[f922,f200])). 0.24/0.54 fof(f200,plain,( 0.24/0.54 true = phi(true)), 0.24/0.54 inference(resolution,[],[f143,f128])). 0.24/0.54 fof(f128,plain,( 0.24/0.54 d(true)), 0.24/0.54 inference(cnf_transformation,[],[f24])). 0.24/0.54 fof(f24,axiom,( 0.24/0.54 d(err) & d(false) & d(true)), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_true_err_in_d)). 0.24/0.54 fof(f143,plain,( 0.24/0.54 ( ! [X0] : (~d(X0) | phi(X0) = X0) )), 0.24/0.54 inference(cnf_transformation,[],[f50])). 0.24/0.54 fof(f50,plain,( 0.24/0.54 ! [X0] : ((phi(X0) = X0 & d(X0)) | (~d(X0) & phi(X0) = err))), 0.24/0.54 inference(rectify,[],[f25])). 0.24/0.54 fof(f25,axiom,( 0.24/0.54 ! [X6] : ((phi(X6) = X6 & d(X6)) | (~d(X6) & err = phi(X6)))), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_phi)). 0.24/0.54 fof(f922,plain,( 0.24/0.54 false2 = phi(true)), 0.24/0.54 inference(backward_demodulation,[],[f577,f912])). 0.24/0.54 fof(f912,plain,( 0.24/0.54 true = sK6), 0.24/0.54 inference(subsumption_resolution,[],[f911,f197])). 0.24/0.54 fof(f197,plain,( 0.24/0.54 false != false2), 0.24/0.54 inference(backward_demodulation,[],[f124,f125])). 0.24/0.54 fof(f125,plain,( 0.24/0.54 false = false1), 0.24/0.54 inference(cnf_transformation,[],[f2])). 0.24/0.54 fof(f2,axiom,( 0.24/0.54 false = false1), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false1)). 0.24/0.54 fof(f124,plain,( 0.24/0.54 false1 != false2), 0.24/0.54 inference(cnf_transformation,[],[f47])). 0.24/0.54 fof(f47,plain,( 0.24/0.54 false1 != false2), 0.24/0.54 inference(flattening,[],[f46])). 0.24/0.54 fof(f46,negated_conjecture,( 0.24/0.54 ~false1 = false2), 0.24/0.54 inference(negated_conjecture,[],[f45])). 0.24/0.54 fof(f45,conjecture,( 0.24/0.54 false1 = false2), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false1_false2)). 0.24/0.54 fof(f911,plain,( 0.24/0.54 false = false2 | true = sK6), 0.24/0.54 inference(forward_demodulation,[],[f907,f201])). 0.24/0.54 fof(f201,plain,( 0.24/0.54 false = phi(false)), 0.24/0.54 inference(resolution,[],[f143,f129])). 0.24/0.54 fof(f129,plain,( 0.24/0.54 d(false)), 0.24/0.54 inference(cnf_transformation,[],[f24])). 0.24/0.54 fof(f907,plain,( 0.24/0.54 false2 = phi(false) | true = sK6), 0.24/0.54 inference(superposition,[],[f577,f894])). 0.24/0.54 fof(f894,plain,( 0.24/0.54 false = sK6 | true = sK6), 0.24/0.54 inference(trivial_inequality_removal,[],[f893])). 0.24/0.54 fof(f893,plain,( 0.24/0.54 true != true | true = sK6 | false = sK6), 0.24/0.54 inference(superposition,[],[f285,f371])). 0.24/0.54 fof(f371,plain,( 0.24/0.54 true = prop(sK6)), 0.24/0.54 inference(subsumption_resolution,[],[f366,f196])). 0.24/0.54 fof(f366,plain,( 0.24/0.54 ~forallprefers(false,true) | true = prop(sK6)), 0.24/0.54 inference(superposition,[],[f216,f357])). 0.24/0.54 fof(f357,plain,( 0.24/0.54 ( ! [X0] : (true = f7(X0) | true = prop(X0)) )), 0.24/0.54 inference(forward_demodulation,[],[f351,f135])). 0.24/0.54 fof(f135,plain,( 0.24/0.54 ( ! [X0] : (true = lazy_impl(false,X0)) )), 0.24/0.54 inference(cnf_transformation,[],[f26])). 0.24/0.54 fof(f26,axiom,( 0.24/0.54 ! [X0] : true = lazy_impl(false,X0)), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom2)). 0.24/0.54 fof(f351,plain,( 0.24/0.54 ( ! [X0] : (lazy_impl(false,X0) = f7(X0) | true = prop(X0)) )), 0.24/0.54 inference(superposition,[],[f139,f205])). 0.24/0.54 fof(f205,plain,( 0.24/0.54 ( ! [X0] : (false = prop(X0) | true = prop(X0)) )), 0.24/0.54 inference(resolution,[],[f153,f151])). 0.24/0.54 fof(f151,plain,( 0.24/0.54 ( ! [X0] : (bool(X0) | false = prop(X0)) )), 0.24/0.54 inference(cnf_transformation,[],[f106])). 0.24/0.54 fof(f106,plain,( 0.24/0.54 ! [X0] : ((~bool(X0) | false != prop(X0)) & (false = prop(X0) | bool(X0)))), 0.24/0.54 inference(nnf_transformation,[],[f52])). 0.24/0.54 fof(f52,plain,( 0.24/0.54 ! [X0] : (~bool(X0) <=> false = prop(X0))), 0.24/0.54 inference(rectify,[],[f13])). 0.24/0.54 fof(f13,axiom,( 0.24/0.54 ! [X6] : (~bool(X6) <=> false = prop(X6))), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_false)). 0.24/0.54 fof(f153,plain,( 0.24/0.54 ( ! [X0] : (~bool(X0) | true = prop(X0)) )), 0.24/0.54 inference(cnf_transformation,[],[f107])). 0.24/0.54 fof(f107,plain,( 0.24/0.54 ! [X0] : ((bool(X0) | true != prop(X0)) & (true = prop(X0) | ~bool(X0)))), 0.24/0.54 inference(nnf_transformation,[],[f53])). 0.24/0.54 fof(f53,plain,( 0.24/0.54 ! [X0] : (bool(X0) <=> true = prop(X0))), 0.24/0.54 inference(rectify,[],[f44])). 0.24/0.54 fof(f44,axiom,( 0.24/0.54 ! [X6] : (bool(X6) <=> true = prop(X6))), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_true)). 0.24/0.54 fof(f139,plain,( 0.24/0.54 ( ! [X0] : (f7(X0) = lazy_impl(prop(X0),X0)) )), 0.24/0.54 inference(cnf_transformation,[],[f49])). 0.24/0.54 fof(f49,plain,( 0.24/0.54 ! [X0] : f7(X0) = lazy_impl(prop(X0),X0)), 0.24/0.54 inference(rectify,[],[f32])). 0.24/0.54 fof(f32,axiom,( 0.24/0.54 ! [X1] : f7(X1) = lazy_impl(prop(X1),X1)), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f7)). 0.24/0.54 fof(f216,plain,( 0.24/0.54 ~forallprefers(false,f7(sK6))), 0.24/0.54 inference(superposition,[],[f189,f214])). 0.24/0.54 fof(f214,plain,( 0.24/0.54 false = f7(false)), 0.24/0.54 inference(forward_demodulation,[],[f213,f201])). 0.24/0.54 fof(f213,plain,( 0.24/0.54 phi(false) = f7(false)), 0.24/0.54 inference(forward_demodulation,[],[f210,f137])). 0.24/0.54 fof(f137,plain,( 0.24/0.54 ( ! [X0] : (phi(X0) = lazy_impl(true,X0)) )), 0.24/0.54 inference(cnf_transformation,[],[f3])). 0.24/0.54 fof(f3,axiom,( 0.24/0.54 ! [X0] : phi(X0) = lazy_impl(true,X0)), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom3)). 0.24/0.54 fof(f210,plain,( 0.24/0.54 f7(false) = lazy_impl(true,false)), 0.24/0.54 inference(superposition,[],[f139,f204])). 0.24/0.54 fof(f204,plain,( 0.24/0.54 true = prop(false)), 0.24/0.54 inference(resolution,[],[f153,f192])). 0.24/0.54 fof(f192,plain,( 0.24/0.54 bool(false)), 0.24/0.54 inference(equality_resolution,[],[f155])). 0.24/0.54 fof(f155,plain,( 0.24/0.54 ( ! [X0] : (bool(X0) | false != X0) )), 0.24/0.54 inference(cnf_transformation,[],[f109])). 0.24/0.54 fof(f109,plain,( 0.24/0.54 ! [X0] : ((true = X0 | false = X0 | ~bool(X0)) & (bool(X0) | (true != X0 & false != X0)))), 0.24/0.54 inference(flattening,[],[f108])). 0.24/0.54 fof(f108,plain,( 0.24/0.54 ! [X0] : (((true = X0 | false = X0) | ~bool(X0)) & (bool(X0) | (true != X0 & false != X0)))), 0.24/0.54 inference(nnf_transformation,[],[f54])). 0.24/0.54 fof(f54,plain,( 0.24/0.54 ! [X0] : ((true = X0 | false = X0) <=> bool(X0))), 0.24/0.54 inference(rectify,[],[f41])). 0.24/0.54 fof(f41,axiom,( 0.24/0.54 ! [X6] : ((true = X6 | false = X6) <=> bool(X6))), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_bool)). 0.24/0.54 fof(f189,plain,( 0.24/0.54 ( ! [X1] : (~forallprefers(f7(X1),f7(sK6))) )), 0.24/0.54 inference(cnf_transformation,[],[f123])). 0.24/0.54 fof(f123,plain,( 0.24/0.54 false2 = phi(f7(sK6)) & ! [X1] : ~forallprefers(f7(X1),f7(sK6))), 0.24/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f105,f122])). 0.24/0.54 fof(f122,plain,( 0.24/0.54 ? [X0] : (false2 = phi(f7(X0)) & ! [X1] : ~forallprefers(f7(X1),f7(X0))) => (false2 = phi(f7(sK6)) & ! [X1] : ~forallprefers(f7(X1),f7(sK6)))), 0.24/0.54 introduced(choice_axiom,[])). 0.24/0.54 fof(f105,plain,( 0.24/0.54 ? [X0] : (false2 = phi(f7(X0)) & ! [X1] : ~forallprefers(f7(X1),f7(X0)))), 0.24/0.54 inference(ennf_transformation,[],[f76])). 0.24/0.54 fof(f76,plain,( 0.24/0.54 ? [X0] : (false2 = phi(f7(X0)) & ~? [X1] : forallprefers(f7(X1),f7(X0)))), 0.24/0.54 inference(rectify,[],[f17])). 0.24/0.54 fof(f17,axiom,( 0.24/0.54 ? [X1] : (false2 = phi(f7(X1)) & ~? [X7] : forallprefers(f7(X7),f7(X1)))), 0.24/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false2)). 0.24/0.54 fof(f285,plain,( 0.24/0.54 ( ! [X1] : (true != prop(X1) | true = X1 | false = X1) )), 0.24/0.54 inference(resolution,[],[f157,f154])). 0.24/0.54 fof(f154,plain,( 0.24/0.54 ( ! [X0] : (bool(X0) | true != prop(X0)) )), 0.24/0.54 inference(cnf_transformation,[],[f107])). 0.24/0.54 fof(f157,plain,( 0.24/0.54 ( ! [X0] : (~bool(X0) | false = X0 | true = X0) )), 0.24/0.54 inference(cnf_transformation,[],[f109])). 0.24/0.54 fof(f577,plain,( 0.24/0.54 false2 = phi(sK6)), 0.24/0.54 inference(forward_demodulation,[],[f576,f381])). 0.24/0.54 fof(f381,plain,( 0.24/0.54 false2 = phi(phi(sK6))), 0.24/0.54 inference(backward_demodulation,[],[f190,f376])). 0.24/0.54 fof(f376,plain,( 0.24/0.54 f7(sK6) = phi(sK6)), 0.24/0.54 inference(forward_demodulation,[],[f374,f137])). 0.24/0.54 fof(f374,plain,( 0.24/0.54 f7(sK6) = lazy_impl(true,sK6)), 0.24/0.54 inference(superposition,[],[f139,f371])). 0.24/0.54 fof(f190,plain,( 0.24/0.54 false2 = phi(f7(sK6))), 0.24/0.54 inference(cnf_transformation,[],[f123])). 0.24/0.54 fof(f576,plain,( 0.24/0.54 phi(sK6) = phi(phi(sK6))), 0.24/0.54 inference(subsumption_resolution,[],[f569,f268])). 0.24/0.54 fof(f268,plain,( 0.24/0.54 ( ! [X0] : (err != X0 | phi(X0) = X0) )), 0.24/0.54 inference(equality_factoring,[],[f142])). 0.24/0.54 fof(f142,plain,( 0.24/0.54 ( ! [X0] : (phi(X0) = X0 | phi(X0) = err) )), 0.24/0.54 inference(cnf_transformation,[],[f50])). 0.24/0.54 fof(f569,plain,( 0.24/0.54 err = phi(sK6) | phi(sK6) = phi(phi(sK6))), 0.24/0.54 inference(resolution,[],[f512,f143])). 0.24/0.54 fof(f512,plain,( 0.24/0.54 d(phi(sK6)) | err = phi(sK6)), 0.24/0.54 inference(superposition,[],[f419,f376])). 0.24/0.54 fof(f419,plain,( 0.24/0.54 ( ! [X1] : (d(f7(X1)) | err = phi(sK6)) )), 0.24/0.54 inference(subsumption_resolution,[],[f416,f140])). 0.24/0.54 fof(f140,plain,( 0.24/0.54 ( ! [X0] : (d(X0) | phi(X0) = err) )), 0.24/0.54 inference(cnf_transformation,[],[f50])). 0.24/0.54 fof(f416,plain,( 0.24/0.54 ( ! [X1] : (~d(sK6) | d(f7(X1)) | err = phi(sK6)) )), 0.24/0.54 inference(superposition,[],[f377,f142])). 0.24/0.54 fof(f377,plain,( 0.24/0.54 ( ! [X0] : (~d(phi(sK6)) | d(f7(X0))) )), 0.24/0.54 inference(backward_demodulation,[],[f248,f376])). 0.24/0.54 fof(f248,plain,( 0.24/0.54 ( ! [X0] : (~d(f7(sK6)) | d(f7(X0))) )), 0.24/0.54 inference(resolution,[],[f174,f189])). 0.24/0.54 fof(f174,plain,( 0.24/0.54 ( ! [X0,X1] : (forallprefers(X0,X1) | ~d(X1) | d(X0)) )), 0.24/0.54 inference(cnf_transformation,[],[f100])). 0.24/0.54 fof(f580,plain,( 0.24/0.54 ~forallprefers(false,false2)), 0.24/0.54 inference(backward_demodulation,[],[f378,f577])). 0.24/0.54 fof(f378,plain,( 0.24/0.54 ~forallprefers(false,phi(sK6))), 0.24/0.54 inference(backward_demodulation,[],[f216,f376])). 0.24/0.54 % SZS output end Proof for theBenchmark 0.24/0.54 % (29344)------------------------------ 0.24/0.54 % (29344)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.24/0.54 % (29344)Termination reason: Refutation 0.24/0.54 0.24/0.54 % (29344)Memory used [KB]: 6780 0.24/0.54 % (29344)Time elapsed: 0.097 s 0.24/0.54 % (29344)------------------------------ 0.24/0.54 % (29344)------------------------------ 0.24/0.54 % (29359)dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_8 on theBenchmark 0.24/0.54 % (29336)Success in time 0.16 s 0.24/0.55 EOF