0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : vampire --mode casc -t %d %s 0.12/0.33 % Computer : n014.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 % DateTime : Thu Jul 2 08:18:25 EDT 2020 0.12/0.33 % CPUTime : 0.18/0.39 % lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all_2 on theBenchmark 0.69/0.89 % Time limit reached! 0.69/0.89 % ------------------------------ 0.69/0.89 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.69/0.89 % Termination reason: Time limit 0.69/0.89 % Termination phase: Saturation 0.69/0.89 0.69/0.89 % Memory used [KB]: 2302 0.69/0.89 % Time elapsed: 0.500 s 0.69/0.89 % ------------------------------ 0.69/0.89 % ------------------------------ 0.69/0.92 % lrs+2_3:1_add=large:afr=on:afp=10000:afq=1.1:amm=off:anc=none:er=known:fde=unused:gs=on:gsaa=from_current:gsem=on:lma=on:nm=32:newcnf=on:nwc=4:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sac=on:sp=occurrence:updr=off_2 on theBenchmark 1.21/1.42 % Time limit reached! 1.21/1.42 % ------------------------------ 1.21/1.42 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.21/1.42 % Termination reason: Time limit 1.21/1.42 % Termination phase: Saturation 1.21/1.42 1.21/1.42 % Memory used [KB]: 11257 1.21/1.42 % Time elapsed: 0.500 s 1.21/1.42 % ------------------------------ 1.21/1.42 % ------------------------------ 1.28/1.44 % 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 1.28/1.45 % Refutation not found, incomplete strategy 1.28/1.45 % ------------------------------ 1.28/1.45 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.28/1.45 % Termination reason: Refutation not found, incomplete strategy 1.28/1.45 1.28/1.45 % Memory used [KB]: 9722 1.28/1.45 % Time elapsed: 0.002 s 1.28/1.45 % ------------------------------ 1.28/1.45 % ------------------------------ 1.30/1.47 % dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off_39 on theBenchmark 1.30/1.48 % Refutation found. Thanks to Tanya! 1.30/1.48 % SZS status Theorem for theBenchmark 1.30/1.48 % SZS output start Proof for theBenchmark 1.30/1.48 fof(f1123,plain,( 1.30/1.48 $false), 1.30/1.48 inference(avatar_sat_refutation,[],[f388,f661,f735,f828,f838,f840,f1107,f1114,f1122])). 1.30/1.48 fof(f1122,plain,( 1.30/1.48 ~spl8_10 | ~spl8_40), 1.30/1.48 inference(avatar_contradiction_clause,[],[f1121])). 1.30/1.48 fof(f1121,plain,( 1.30/1.48 $false | (~spl8_10 | ~spl8_40)), 1.30/1.48 inference(subsumption_resolution,[],[f1120,f287])). 1.30/1.48 fof(f287,plain,( 1.30/1.48 bool(false1)), 1.30/1.48 inference(equality_resolution,[],[f252])). 1.30/1.48 fof(f252,plain,( 1.30/1.48 ( ! [X0] : (bool(X0) | false1 != X0) )), 1.30/1.48 inference(definition_unfolding,[],[f158,f128])). 1.30/1.48 fof(f128,plain,( 1.30/1.48 false = false1), 1.30/1.48 inference(cnf_transformation,[],[f2])). 1.30/1.48 fof(f2,axiom,( 1.30/1.48 false = false1), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false1)). 1.30/1.48 fof(f158,plain,( 1.30/1.48 ( ! [X0] : (bool(X0) | false != X0) )), 1.30/1.48 inference(cnf_transformation,[],[f108])). 1.30/1.48 fof(f108,plain,( 1.30/1.48 ! [X0] : ((true = X0 | false = X0 | ~bool(X0)) & (bool(X0) | (true != X0 & false != X0)))), 1.30/1.48 inference(flattening,[],[f107])). 1.30/1.48 fof(f107,plain,( 1.30/1.48 ! [X0] : (((true = X0 | false = X0) | ~bool(X0)) & (bool(X0) | (true != X0 & false != X0)))), 1.30/1.48 inference(nnf_transformation,[],[f54])). 1.30/1.48 fof(f54,plain,( 1.30/1.48 ! [X0] : ((true = X0 | false = X0) <=> bool(X0))), 1.30/1.48 inference(rectify,[],[f41])). 1.30/1.48 fof(f41,axiom,( 1.30/1.48 ! [X6] : ((true = X6 | false = X6) <=> bool(X6))), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_bool)). 1.30/1.48 fof(f1120,plain,( 1.30/1.48 ~bool(false1) | (~spl8_10 | ~spl8_40)), 1.30/1.48 inference(trivial_inequality_removal,[],[f1118])). 1.30/1.48 fof(f1118,plain,( 1.30/1.48 false1 != false1 | ~bool(false1) | (~spl8_10 | ~spl8_40)), 1.30/1.48 inference(superposition,[],[f1117,f149])). 1.30/1.48 fof(f149,plain,( 1.30/1.48 ( ! [X0] : (impl(true,X0) = X0 | ~bool(X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f80])). 1.30/1.48 fof(f80,plain,( 1.30/1.48 ! [X0] : (impl(true,X0) = X0 | ~bool(X0))), 1.30/1.48 inference(ennf_transformation,[],[f6])). 1.30/1.48 fof(f6,axiom,( 1.30/1.48 ! [X0] : (bool(X0) => impl(true,X0) = X0)), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom4)). 1.30/1.48 fof(f1117,plain,( 1.30/1.48 false1 != impl(true,false1) | (~spl8_10 | ~spl8_40)), 1.30/1.48 inference(forward_demodulation,[],[f1116,f234])). 1.30/1.48 fof(f234,plain,( 1.30/1.48 false1 = not1(true)), 1.30/1.48 inference(definition_unfolding,[],[f129,f128])). 1.30/1.48 fof(f129,plain,( 1.30/1.48 false = not1(true)), 1.30/1.48 inference(cnf_transformation,[],[f21])). 1.30/1.48 fof(f21,axiom,( 1.30/1.48 false = not1(true)), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom3)). 1.30/1.48 fof(f1116,plain,( 1.30/1.48 impl(true,false1) != not1(true) | (~spl8_10 | ~spl8_40)), 1.30/1.48 inference(forward_demodulation,[],[f845,f1100])). 1.30/1.48 fof(f1100,plain,( 1.30/1.48 true = sK0 | ~spl8_40), 1.30/1.48 inference(avatar_component_clause,[],[f1099])). 1.30/1.48 fof(f1099,plain,( 1.30/1.48 spl8_40 <=> true = sK0), 1.30/1.48 introduced(avatar_definition,[new_symbols(naming,[spl8_40])])). 1.30/1.48 fof(f845,plain,( 1.30/1.48 impl(sK0,false1) != not1(sK0) | ~spl8_10), 1.30/1.48 inference(backward_demodulation,[],[f445,f233])). 1.30/1.48 fof(f233,plain,( 1.30/1.48 impl(sK0,false2) != not1(sK0)), 1.30/1.48 inference(definition_unfolding,[],[f127,f139])). 1.30/1.48 fof(f139,plain,( 1.30/1.48 ( ! [X0] : (impl(X0,false2) = not2(X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f48])). 1.30/1.48 fof(f48,plain,( 1.30/1.48 ! [X0] : impl(X0,false2) = not2(X0)), 1.30/1.48 inference(rectify,[],[f40])). 1.30/1.48 fof(f40,axiom,( 1.30/1.48 ! [X1] : impl(X1,false2) = not2(X1)), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_not2)). 1.30/1.48 fof(f127,plain,( 1.30/1.48 not1(sK0) != not2(sK0)), 1.30/1.48 inference(cnf_transformation,[],[f104])). 1.30/1.48 fof(f104,plain,( 1.30/1.48 not1(sK0) != not2(sK0)), 1.30/1.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f77,f103])). 1.30/1.48 fof(f103,plain,( 1.30/1.48 ? [X0] : not1(X0) != not2(X0) => not1(sK0) != not2(sK0)), 1.30/1.48 introduced(choice_axiom,[])). 1.30/1.48 fof(f77,plain,( 1.30/1.48 ? [X0] : not1(X0) != not2(X0)), 1.30/1.48 inference(ennf_transformation,[],[f47])). 1.30/1.48 fof(f47,plain,( 1.30/1.48 ~! [X0] : not1(X0) = not2(X0)), 1.30/1.48 inference(rectify,[],[f46])). 1.30/1.48 fof(f46,negated_conjecture,( 1.30/1.48 ~! [X1] : not1(X1) = not2(X1)), 1.30/1.48 inference(negated_conjecture,[],[f45])). 1.30/1.48 fof(f45,conjecture,( 1.30/1.48 ! [X1] : not1(X1) = not2(X1)), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_not2)). 1.30/1.48 fof(f445,plain,( 1.30/1.48 false1 = false2 | ~spl8_10), 1.30/1.48 inference(subsumption_resolution,[],[f443,f236])). 1.30/1.48 fof(f236,plain,( 1.30/1.48 d(false1)), 1.30/1.48 inference(definition_unfolding,[],[f132,f128])). 1.30/1.48 fof(f132,plain,( 1.30/1.48 d(false)), 1.30/1.48 inference(cnf_transformation,[],[f24])). 1.30/1.48 fof(f24,axiom,( 1.30/1.48 d(err) & d(false) & d(true)), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_true_err_in_d)). 1.30/1.48 fof(f443,plain,( 1.30/1.48 false1 = false2 | ~d(false1) | ~spl8_10), 1.30/1.48 inference(superposition,[],[f440,f294])). 1.30/1.48 fof(f294,plain,( 1.30/1.48 ( ! [X0] : (lazy_impl(true,X0) = X0 | ~d(X0)) )), 1.30/1.48 inference(forward_demodulation,[],[f242,f241])). 1.30/1.48 fof(f241,plain,( 1.30/1.48 ( ! [X0] : (lazy_impl(true,X0) = lazy_and1(true,X0)) )), 1.30/1.48 inference(definition_unfolding,[],[f141,f140])). 1.30/1.48 fof(f140,plain,( 1.30/1.48 ( ! [X0] : (phi(X0) = lazy_and1(true,X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f5])). 1.30/1.48 fof(f5,axiom,( 1.30/1.48 ! [X0] : phi(X0) = lazy_and1(true,X0)), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_and1_axiom3)). 1.30/1.48 fof(f141,plain,( 1.30/1.48 ( ! [X0] : (phi(X0) = lazy_impl(true,X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f3])). 1.30/1.48 fof(f3,axiom,( 1.30/1.48 ! [X0] : phi(X0) = lazy_impl(true,X0)), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom3)). 1.30/1.48 fof(f242,plain,( 1.30/1.48 ( ! [X0] : (lazy_and1(true,X0) = X0 | ~d(X0)) )), 1.30/1.48 inference(definition_unfolding,[],[f146,f140])). 1.30/1.48 fof(f146,plain,( 1.30/1.48 ( ! [X0] : (phi(X0) = X0 | ~d(X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f50])). 1.30/1.48 fof(f50,plain,( 1.30/1.48 ! [X0] : ((phi(X0) = X0 & d(X0)) | (~d(X0) & phi(X0) = err))), 1.30/1.48 inference(rectify,[],[f25])). 1.30/1.48 fof(f25,axiom,( 1.30/1.48 ! [X6] : ((phi(X6) = X6 & d(X6)) | (~d(X6) & phi(X6) = err))), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_phi)). 1.30/1.48 fof(f440,plain,( 1.30/1.48 lazy_impl(true,false1) = false2 | ~spl8_10), 1.30/1.48 inference(superposition,[],[f439,f241])). 1.30/1.48 fof(f439,plain,( 1.30/1.48 lazy_and1(true,false1) = false2 | ~spl8_10), 1.30/1.48 inference(subsumption_resolution,[],[f436,f236])). 1.30/1.48 fof(f436,plain,( 1.30/1.48 lazy_and1(true,false1) = false2 | ~d(false1) | ~spl8_10), 1.30/1.48 inference(superposition,[],[f435,f294])). 1.30/1.48 fof(f435,plain,( 1.30/1.48 lazy_and1(true,lazy_impl(true,false1)) = false2 | ~spl8_10), 1.30/1.48 inference(subsumption_resolution,[],[f432,f287])). 1.30/1.48 fof(f432,plain,( 1.30/1.48 lazy_and1(true,lazy_impl(true,false1)) = false2 | ~bool(false1) | ~spl8_10), 1.30/1.48 inference(superposition,[],[f423,f156])). 1.30/1.48 fof(f156,plain,( 1.30/1.48 ( ! [X0] : (true = prop(X0) | ~bool(X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f106])). 1.30/1.48 fof(f106,plain,( 1.30/1.48 ! [X0] : ((bool(X0) | true != prop(X0)) & (true = prop(X0) | ~bool(X0)))), 1.30/1.48 inference(nnf_transformation,[],[f53])). 1.30/1.48 fof(f53,plain,( 1.30/1.48 ! [X0] : (bool(X0) <=> true = prop(X0))), 1.30/1.48 inference(rectify,[],[f44])). 1.30/1.48 fof(f44,axiom,( 1.30/1.48 ! [X6] : (bool(X6) <=> true = prop(X6))), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_true)). 1.30/1.48 fof(f423,plain,( 1.30/1.48 lazy_and1(true,lazy_impl(prop(false1),false1)) = false2 | ~spl8_10), 1.30/1.48 inference(forward_demodulation,[],[f284,f402])). 1.30/1.48 fof(f402,plain,( 1.30/1.48 false1 = sK7 | ~spl8_10), 1.30/1.48 inference(avatar_component_clause,[],[f401])). 1.30/1.48 fof(f401,plain,( 1.30/1.48 spl8_10 <=> false1 = sK7), 1.30/1.48 introduced(avatar_definition,[new_symbols(naming,[spl8_10])])). 1.30/1.48 fof(f284,plain,( 1.30/1.48 lazy_and1(true,lazy_impl(prop(sK7),sK7)) = false2), 1.30/1.48 inference(definition_unfolding,[],[f225,f140,f142])). 1.30/1.48 fof(f142,plain,( 1.30/1.48 ( ! [X0] : (lazy_impl(prop(X0),X0) = f7(X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f49])). 1.30/1.48 fof(f49,plain,( 1.30/1.48 ! [X0] : lazy_impl(prop(X0),X0) = f7(X0)), 1.30/1.48 inference(rectify,[],[f32])). 1.30/1.48 fof(f32,axiom,( 1.30/1.48 ! [X1] : lazy_impl(prop(X1),X1) = f7(X1)), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f7)). 1.30/1.48 fof(f225,plain,( 1.30/1.48 phi(f7(sK7)) = false2), 1.30/1.48 inference(cnf_transformation,[],[f126])). 1.30/1.48 fof(f126,plain,( 1.30/1.48 phi(f7(sK7)) = false2 & ! [X1] : ~forallprefers(f7(X1),f7(sK7))), 1.30/1.48 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f102,f125])). 1.30/1.48 fof(f125,plain,( 1.30/1.48 ? [X0] : (phi(f7(X0)) = false2 & ! [X1] : ~forallprefers(f7(X1),f7(X0))) => (phi(f7(sK7)) = false2 & ! [X1] : ~forallprefers(f7(X1),f7(sK7)))), 1.30/1.48 introduced(choice_axiom,[])). 1.30/1.48 fof(f102,plain,( 1.30/1.48 ? [X0] : (phi(f7(X0)) = false2 & ! [X1] : ~forallprefers(f7(X1),f7(X0)))), 1.30/1.48 inference(ennf_transformation,[],[f76])). 1.30/1.48 fof(f76,plain,( 1.30/1.48 ? [X0] : (phi(f7(X0)) = false2 & ~? [X1] : forallprefers(f7(X1),f7(X0)))), 1.30/1.48 inference(rectify,[],[f17])). 1.30/1.48 fof(f17,axiom,( 1.30/1.48 ? [X1] : (phi(f7(X1)) = false2 & ~? [X7] : forallprefers(f7(X7),f7(X1)))), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false2)). 1.30/1.48 fof(f1114,plain,( 1.30/1.48 ~spl8_10 | ~spl8_42), 1.30/1.48 inference(avatar_contradiction_clause,[],[f1113])). 1.30/1.48 fof(f1113,plain,( 1.30/1.48 $false | (~spl8_10 | ~spl8_42)), 1.30/1.48 inference(subsumption_resolution,[],[f1112,f287])). 1.30/1.48 fof(f1112,plain,( 1.30/1.48 ~bool(false1) | (~spl8_10 | ~spl8_42)), 1.30/1.48 inference(trivial_inequality_removal,[],[f1110])). 1.30/1.48 fof(f1110,plain,( 1.30/1.48 true != true | ~bool(false1) | (~spl8_10 | ~spl8_42)), 1.30/1.48 inference(superposition,[],[f1109,f247])). 1.30/1.48 fof(f247,plain,( 1.30/1.48 ( ! [X0] : (true = impl(false1,X0) | ~bool(X0)) )), 1.30/1.48 inference(definition_unfolding,[],[f151,f128])). 1.30/1.48 fof(f151,plain,( 1.30/1.48 ( ! [X0] : (true = impl(false,X0) | ~bool(X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f82])). 1.30/1.48 fof(f82,plain,( 1.30/1.48 ! [X0] : (true = impl(false,X0) | ~bool(X0))), 1.30/1.48 inference(ennf_transformation,[],[f14])). 1.30/1.48 fof(f14,axiom,( 1.30/1.48 ! [X0] : (bool(X0) => true = impl(false,X0))), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom3)). 1.30/1.48 fof(f1109,plain,( 1.30/1.48 true != impl(false1,false1) | (~spl8_10 | ~spl8_42)), 1.30/1.48 inference(forward_demodulation,[],[f1108,f235])). 1.30/1.48 fof(f235,plain,( 1.30/1.48 true = not1(false1)), 1.30/1.48 inference(definition_unfolding,[],[f130,f128])). 1.30/1.48 fof(f130,plain,( 1.30/1.48 true = not1(false)), 1.30/1.48 inference(cnf_transformation,[],[f18])). 1.30/1.48 fof(f18,axiom,( 1.30/1.48 true = not1(false)), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom2)). 1.30/1.48 fof(f1108,plain,( 1.30/1.48 impl(false1,false1) != not1(false1) | (~spl8_10 | ~spl8_42)), 1.30/1.48 inference(backward_demodulation,[],[f1106,f845])). 1.30/1.48 fof(f1106,plain,( 1.30/1.48 false1 = sK0 | ~spl8_42), 1.30/1.48 inference(avatar_component_clause,[],[f1105])). 1.30/1.48 fof(f1105,plain,( 1.30/1.48 spl8_42 <=> false1 = sK0), 1.30/1.48 introduced(avatar_definition,[new_symbols(naming,[spl8_42])])). 1.30/1.48 fof(f1107,plain,( 1.30/1.48 spl8_40 | spl8_42 | ~spl8_10), 1.30/1.48 inference(avatar_split_clause,[],[f1094,f401,f1105,f1099])). 1.30/1.48 fof(f1094,plain,( 1.30/1.48 false1 = sK0 | true = sK0 | ~spl8_10), 1.30/1.48 inference(subsumption_resolution,[],[f1093,f341])). 1.30/1.48 fof(f341,plain,( 1.30/1.48 ( ! [X0] : (lazy_impl(true,X0) = not1(X0) | false1 = X0 | true = X0) )), 1.30/1.48 inference(resolution,[],[f296,f251])). 1.30/1.48 fof(f251,plain,( 1.30/1.48 ( ! [X0] : (~bool(X0) | false1 = X0 | true = X0) )), 1.30/1.48 inference(definition_unfolding,[],[f160,f128])). 1.30/1.48 fof(f160,plain,( 1.30/1.48 ( ! [X0] : (true = X0 | false = X0 | ~bool(X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f108])). 1.30/1.48 fof(f296,plain,( 1.30/1.48 ( ! [X0] : (bool(X0) | lazy_impl(true,X0) = not1(X0)) )), 1.30/1.48 inference(forward_demodulation,[],[f245,f241])). 1.30/1.48 fof(f245,plain,( 1.30/1.48 ( ! [X0] : (lazy_and1(true,X0) = not1(X0) | bool(X0)) )), 1.30/1.48 inference(definition_unfolding,[],[f147,f140])). 1.30/1.48 fof(f147,plain,( 1.30/1.48 ( ! [X0] : (phi(X0) = not1(X0) | bool(X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f78])). 1.30/1.48 fof(f78,plain,( 1.30/1.48 ! [X0] : (phi(X0) = not1(X0) | bool(X0))), 1.30/1.48 inference(ennf_transformation,[],[f51])). 1.30/1.48 fof(f51,plain,( 1.30/1.48 ! [X0] : (~bool(X0) => phi(X0) = not1(X0))), 1.30/1.48 inference(rectify,[],[f7])). 1.30/1.48 fof(f7,axiom,( 1.30/1.48 ! [X3] : (~bool(X3) => phi(X3) = not1(X3))), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom1)). 1.30/1.48 fof(f1093,plain,( 1.30/1.48 lazy_impl(true,sK0) != not1(sK0) | false1 = sK0 | true = sK0 | ~spl8_10), 1.30/1.48 inference(superposition,[],[f845,f430])). 1.30/1.48 fof(f430,plain,( 1.30/1.48 ( ! [X0,X1] : (lazy_impl(true,X0) = impl(X0,X1) | false1 = X0 | true = X0) )), 1.30/1.48 inference(resolution,[],[f374,f251])). 1.30/1.48 fof(f374,plain,( 1.30/1.48 ( ! [X0,X1] : (bool(X0) | lazy_impl(true,X0) = impl(X0,X1)) )), 1.30/1.48 inference(forward_demodulation,[],[f257,f241])). 1.30/1.48 fof(f257,plain,( 1.30/1.48 ( ! [X0,X1] : (impl(X0,X1) = lazy_and1(true,X0) | bool(X0)) )), 1.30/1.48 inference(definition_unfolding,[],[f169,f140])). 1.30/1.48 fof(f169,plain,( 1.30/1.48 ( ! [X0,X1] : (phi(X0) = impl(X0,X1) | bool(X0)) )), 1.30/1.48 inference(cnf_transformation,[],[f90])). 1.30/1.48 fof(f90,plain,( 1.30/1.48 ! [X0,X1] : (phi(X0) = impl(X0,X1) | bool(X0))), 1.30/1.48 inference(ennf_transformation,[],[f61])). 1.30/1.48 fof(f61,plain,( 1.30/1.48 ! [X0,X1] : (~bool(X0) => phi(X0) = impl(X0,X1))), 1.30/1.48 inference(rectify,[],[f33])). 1.30/1.48 fof(f33,axiom,( 1.30/1.48 ! [X3,X0] : (~bool(X3) => phi(X3) = impl(X3,X0))), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom1)). 1.30/1.48 fof(f840,plain,( 1.30/1.48 spl8_8 | spl8_10 | ~spl8_0), 1.30/1.48 inference(avatar_split_clause,[],[f839,f306,f401,f395])). 1.30/1.48 fof(f395,plain,( 1.30/1.48 spl8_8 <=> true = sK7), 1.30/1.48 introduced(avatar_definition,[new_symbols(naming,[spl8_8])])). 1.30/1.48 fof(f306,plain,( 1.30/1.48 spl8_0 <=> bool(sK7)), 1.30/1.48 introduced(avatar_definition,[new_symbols(naming,[spl8_0])])). 1.30/1.48 fof(f839,plain,( 1.30/1.48 false1 = sK7 | true = sK7 | ~spl8_0), 1.30/1.48 inference(resolution,[],[f307,f251])). 1.30/1.48 fof(f307,plain,( 1.30/1.48 bool(sK7) | ~spl8_0), 1.30/1.48 inference(avatar_component_clause,[],[f306])). 1.30/1.48 fof(f838,plain,( 1.30/1.48 spl8_15), 1.30/1.48 inference(avatar_contradiction_clause,[],[f837])). 1.30/1.48 fof(f837,plain,( 1.30/1.48 $false | ~spl8_15), 1.30/1.48 inference(subsumption_resolution,[],[f836,f236])). 1.30/1.48 fof(f836,plain,( 1.30/1.48 ~d(false1) | ~spl8_15), 1.30/1.48 inference(trivial_inequality_removal,[],[f835])). 1.30/1.48 fof(f835,plain,( 1.30/1.48 false1 != false1 | ~d(false1) | ~spl8_15), 1.30/1.48 inference(superposition,[],[f834,f294])). 1.30/1.48 fof(f834,plain,( 1.30/1.48 false1 != lazy_impl(true,false1) | ~spl8_15), 1.30/1.48 inference(subsumption_resolution,[],[f833,f287])). 1.30/1.48 fof(f833,plain,( 1.30/1.48 false1 != lazy_impl(true,false1) | ~bool(false1) | ~spl8_15), 1.30/1.48 inference(superposition,[],[f483,f156])). 1.30/1.48 fof(f483,plain,( 1.30/1.48 false1 != lazy_impl(prop(false1),false1) | ~spl8_15), 1.30/1.48 inference(avatar_component_clause,[],[f482])). 1.30/1.48 fof(f482,plain,( 1.30/1.48 spl8_15 <=> false1 != lazy_impl(prop(false1),false1)), 1.30/1.48 introduced(avatar_definition,[new_symbols(naming,[spl8_15])])). 1.30/1.48 fof(f828,plain,( 1.30/1.48 ~spl8_8 | ~spl8_14 | ~spl8_30), 1.30/1.48 inference(avatar_contradiction_clause,[],[f827])). 1.30/1.48 fof(f827,plain,( 1.30/1.48 $false | (~spl8_8 | ~spl8_14 | ~spl8_30)), 1.30/1.48 inference(subsumption_resolution,[],[f817,f291])). 1.30/1.48 fof(f291,plain,( 1.30/1.48 forallprefers(false1,true)), 1.30/1.48 inference(equality_resolution,[],[f290])). 1.30/1.48 fof(f290,plain,( 1.30/1.48 ( ! [X1] : (forallprefers(false1,X1) | true != X1) )), 1.30/1.48 inference(equality_resolution,[],[f271])). 1.30/1.48 fof(f271,plain,( 1.30/1.48 ( ! [X0,X1] : (forallprefers(X0,X1) | false1 != X0 | true != X1) )), 1.30/1.48 inference(definition_unfolding,[],[f210,f128])). 1.30/1.48 fof(f210,plain,( 1.30/1.48 ( ! [X0,X1] : (forallprefers(X0,X1) | false != X0 | true != X1) )), 1.30/1.48 inference(cnf_transformation,[],[f116])). 1.30/1.48 fof(f116,plain,( 1.30/1.48 ! [X0,X1] : ((forallprefers(X0,X1) | ((~bool(X1) | bool(X0) | ~d(X0) | ~d(X1)) & (false != X0 | true != X1) & (~d(X1) | d(X0)))) & ((bool(X1) & ~bool(X0) & d(X0) & d(X1)) | (false = X0 & true = X1) | (d(X1) & ~d(X0)) | ~forallprefers(X0,X1)))), 1.30/1.48 inference(flattening,[],[f115])). 1.30/1.48 fof(f115,plain,( 1.30/1.48 ! [X0,X1] : ((forallprefers(X0,X1) | ((~bool(X1) | bool(X0) | ~d(X0) | ~d(X1)) & (false != X0 | true != X1) & (~d(X1) | d(X0)))) & (((bool(X1) & ~bool(X0) & d(X0) & d(X1)) | (false = X0 & true = X1) | (d(X1) & ~d(X0))) | ~forallprefers(X0,X1)))), 1.30/1.48 inference(nnf_transformation,[],[f67])). 1.30/1.48 fof(f67,plain,( 1.30/1.48 ! [X0,X1] : (forallprefers(X0,X1) <=> ((bool(X1) & ~bool(X0) & d(X0) & d(X1)) | (false = X0 & true = X1) | (d(X1) & ~d(X0))))), 1.30/1.48 inference(rectify,[],[f23])). 1.30/1.48 fof(f23,axiom,( 1.30/1.48 ! [X6,X8] : (forallprefers(X6,X8) <=> ((bool(X8) & ~bool(X6) & d(X6) & d(X8)) | (false = X6 & true = X8) | (d(X8) & ~d(X6))))), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_forallprefers)). 1.30/1.48 fof(f817,plain,( 1.30/1.48 ~forallprefers(false1,true) | (~spl8_8 | ~spl8_14 | ~spl8_30)), 1.30/1.48 inference(superposition,[],[f812,f486])). 1.30/1.48 fof(f486,plain,( 1.30/1.48 false1 = lazy_impl(prop(false1),false1) | ~spl8_14), 1.30/1.48 inference(avatar_component_clause,[],[f485])). 1.30/1.48 fof(f485,plain,( 1.30/1.48 spl8_14 <=> false1 = lazy_impl(prop(false1),false1)), 1.30/1.48 introduced(avatar_definition,[new_symbols(naming,[spl8_14])])). 1.30/1.48 fof(f812,plain,( 1.30/1.48 ( ! [X1] : (~forallprefers(lazy_impl(prop(X1),X1),true)) ) | (~spl8_8 | ~spl8_30)), 1.30/1.48 inference(forward_demodulation,[],[f715,f776])). 1.30/1.48 fof(f776,plain,( 1.30/1.48 true = lazy_impl(prop(true),true) | (~spl8_8 | ~spl8_30)), 1.30/1.48 inference(forward_demodulation,[],[f738,f736])). 1.30/1.48 fof(f736,plain,( 1.30/1.48 true = false2 | ~spl8_8), 1.30/1.48 inference(subsumption_resolution,[],[f729,f131])). 1.30/1.48 fof(f131,plain,( 1.30/1.48 d(true)), 1.30/1.48 inference(cnf_transformation,[],[f24])). 1.30/1.48 fof(f729,plain,( 1.30/1.48 true = false2 | ~d(true) | ~spl8_8), 1.30/1.48 inference(superposition,[],[f294,f725])). 1.30/1.48 fof(f725,plain,( 1.30/1.48 lazy_impl(true,true) = false2 | ~spl8_8), 1.30/1.48 inference(superposition,[],[f724,f241])). 1.30/1.48 fof(f724,plain,( 1.30/1.48 lazy_and1(true,true) = false2 | ~spl8_8), 1.30/1.48 inference(subsumption_resolution,[],[f721,f131])). 1.30/1.48 fof(f721,plain,( 1.30/1.48 lazy_and1(true,true) = false2 | ~d(true) | ~spl8_8), 1.30/1.48 inference(superposition,[],[f720,f294])). 1.30/1.48 fof(f720,plain,( 1.30/1.48 lazy_and1(true,lazy_impl(true,true)) = false2 | ~spl8_8), 1.30/1.48 inference(subsumption_resolution,[],[f717,f286])). 1.30/1.48 fof(f286,plain,( 1.30/1.48 bool(true)), 1.30/1.48 inference(equality_resolution,[],[f159])). 1.30/1.48 fof(f159,plain,( 1.30/1.48 ( ! [X0] : (bool(X0) | true != X0) )), 1.30/1.48 inference(cnf_transformation,[],[f108])). 1.30/1.48 fof(f717,plain,( 1.30/1.48 lazy_and1(true,lazy_impl(true,true)) = false2 | ~bool(true) | ~spl8_8), 1.30/1.48 inference(superposition,[],[f672,f156])). 1.30/1.48 fof(f672,plain,( 1.30/1.48 lazy_and1(true,lazy_impl(prop(true),true)) = false2 | ~spl8_8), 1.30/1.48 inference(backward_demodulation,[],[f396,f284])). 1.30/1.48 fof(f396,plain,( 1.30/1.48 true = sK7 | ~spl8_8), 1.30/1.48 inference(avatar_component_clause,[],[f395])). 1.30/1.48 fof(f738,plain,( 1.30/1.48 lazy_impl(prop(true),true) = false2 | (~spl8_8 | ~spl8_30)), 1.30/1.48 inference(forward_demodulation,[],[f658,f396])). 1.30/1.48 fof(f658,plain,( 1.30/1.48 lazy_impl(prop(sK7),sK7) = false2 | ~spl8_30), 1.30/1.48 inference(avatar_component_clause,[],[f657])). 1.30/1.48 fof(f657,plain,( 1.30/1.48 spl8_30 <=> lazy_impl(prop(sK7),sK7) = false2), 1.30/1.48 introduced(avatar_definition,[new_symbols(naming,[spl8_30])])). 1.30/1.48 fof(f715,plain,( 1.30/1.48 ( ! [X1] : (~forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(true),true))) ) | ~spl8_8), 1.30/1.48 inference(forward_demodulation,[],[f285,f396])). 1.30/1.48 fof(f285,plain,( 1.30/1.48 ( ! [X1] : (~forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK7),sK7))) )), 1.30/1.48 inference(definition_unfolding,[],[f224,f142,f142])). 1.30/1.48 fof(f224,plain,( 1.30/1.48 ( ! [X1] : (~forallprefers(f7(X1),f7(sK7))) )), 1.30/1.48 inference(cnf_transformation,[],[f126])). 1.30/1.48 fof(f735,plain,( 1.30/1.48 ~spl8_8 | ~spl8_28), 1.30/1.48 inference(avatar_contradiction_clause,[],[f734])). 1.30/1.48 fof(f734,plain,( 1.30/1.48 $false | (~spl8_8 | ~spl8_28)), 1.30/1.48 inference(subsumption_resolution,[],[f733,f131])). 1.30/1.48 fof(f733,plain,( 1.30/1.48 ~d(true) | (~spl8_8 | ~spl8_28)), 1.30/1.48 inference(subsumption_resolution,[],[f729,f670])). 1.30/1.48 fof(f670,plain,( 1.30/1.48 true != false2 | ~spl8_28), 1.30/1.48 inference(superposition,[],[f135,f652])). 1.30/1.48 fof(f652,plain,( 1.30/1.48 false2 = err | ~spl8_28), 1.30/1.48 inference(avatar_component_clause,[],[f651])). 1.30/1.48 fof(f651,plain,( 1.30/1.48 spl8_28 <=> false2 = err), 1.30/1.48 introduced(avatar_definition,[new_symbols(naming,[spl8_28])])). 1.30/1.48 fof(f135,plain,( 1.30/1.48 true != err), 1.30/1.48 inference(cnf_transformation,[],[f39])). 1.30/1.48 fof(f39,axiom,( 1.30/1.48 false != err & true != err & true != false), 1.30/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct_false_true_err)). 1.30/1.48 fof(f661,plain,( 1.30/1.48 spl8_28 | spl8_30), 1.30/1.48 inference(avatar_split_clause,[],[f660,f657,f651])). 1.30/1.48 fof(f660,plain,( 1.30/1.48 lazy_impl(prop(sK7),sK7) = false2 | false2 = err), 1.30/1.48 inference(forward_demodulation,[],[f635,f284])). 1.30/1.48 fof(f635,plain,( 1.30/1.48 false2 = err | lazy_impl(prop(sK7),sK7) = lazy_and1(true,lazy_impl(prop(sK7),sK7))), 1.30/1.48 inference(superposition,[],[f243,f284])). 1.30/1.48 fof(f243,plain,( 1.30/1.48 ( ! [X0] : (lazy_and1(true,X0) = err | lazy_and1(true,X0) = X0) )), 1.30/1.48 inference(definition_unfolding,[],[f145,f140,f140])). 1.30/1.48 fof(f145,plain,( 1.30/1.48 ( ! [X0] : (phi(X0) = X0 | phi(X0) = err) )), 1.30/1.48 inference(cnf_transformation,[],[f50])). 1.30/1.48 fof(f388,plain,( 1.30/1.48 spl8_1), 1.30/1.48 inference(avatar_contradiction_clause,[],[f387])). 1.30/1.48 fof(f387,plain,( 1.30/1.48 $false | ~spl8_1), 1.30/1.48 inference(subsumption_resolution,[],[f386,f236])). 1.30/1.48 fof(f386,plain,( 1.30/1.48 ~d(false1) | ~spl8_1), 1.30/1.48 inference(subsumption_resolution,[],[f384,f287])). 1.30/1.48 fof(f384,plain,( 1.30/1.48 ~bool(false1) | ~d(false1) | ~spl8_1), 1.30/1.48 inference(resolution,[],[f381,f291])). 1.30/1.48 fof(f381,plain,( 1.30/1.48 ( ! [X0] : (~forallprefers(X0,true) | ~bool(X0) | ~d(X0)) ) | ~spl8_1), 1.30/1.48 inference(superposition,[],[f378,f294])). 1.30/1.48 fof(f378,plain,( 1.30/1.48 ( ! [X0] : (~forallprefers(lazy_impl(true,X0),true) | ~bool(X0)) ) | ~spl8_1), 1.30/1.48 inference(superposition,[],[f377,f156])). 1.30/1.48 fof(f377,plain,( 1.30/1.48 ( ! [X1] : (~forallprefers(lazy_impl(prop(X1),X1),true)) ) | ~spl8_1), 1.30/1.48 inference(forward_demodulation,[],[f376,f239])). 1.30/1.49 fof(f239,plain,( 1.30/1.49 ( ! [X0] : (true = lazy_impl(false1,X0)) )), 1.30/1.49 inference(definition_unfolding,[],[f137,f128])). 1.30/1.49 fof(f137,plain,( 1.30/1.49 ( ! [X0] : (true = lazy_impl(false,X0)) )), 1.30/1.49 inference(cnf_transformation,[],[f26])). 1.30/1.49 fof(f26,axiom,( 1.30/1.49 ! [X0] : true = lazy_impl(false,X0)), 1.30/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom2)). 1.30/1.49 fof(f376,plain,( 1.30/1.49 ( ! [X1] : (~forallprefers(lazy_impl(prop(X1),X1),lazy_impl(false1,sK7))) ) | ~spl8_1), 1.30/1.49 inference(forward_demodulation,[],[f285,f318])). 1.30/1.49 fof(f318,plain,( 1.30/1.49 false1 = prop(sK7) | ~spl8_1), 1.30/1.49 inference(resolution,[],[f310,f250])). 1.30/1.49 fof(f250,plain,( 1.30/1.49 ( ! [X0] : (bool(X0) | false1 = prop(X0)) )), 1.30/1.49 inference(definition_unfolding,[],[f154,f128])). 1.30/1.49 fof(f154,plain,( 1.30/1.49 ( ! [X0] : (false = prop(X0) | bool(X0)) )), 1.30/1.49 inference(cnf_transformation,[],[f105])). 1.30/1.49 fof(f105,plain,( 1.30/1.49 ! [X0] : ((~bool(X0) | false != prop(X0)) & (false = prop(X0) | bool(X0)))), 1.30/1.49 inference(nnf_transformation,[],[f52])). 1.30/1.49 fof(f52,plain,( 1.30/1.49 ! [X0] : (~bool(X0) <=> false = prop(X0))), 1.30/1.49 inference(rectify,[],[f13])). 1.30/1.49 fof(f13,axiom,( 1.30/1.49 ! [X6] : (~bool(X6) <=> false = prop(X6))), 1.30/1.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_false)). 1.30/1.49 fof(f310,plain,( 1.30/1.49 ~bool(sK7) | ~spl8_1), 1.30/1.49 inference(avatar_component_clause,[],[f309])). 1.30/1.49 fof(f309,plain,( 1.30/1.49 spl8_1 <=> ~bool(sK7)), 1.30/1.49 introduced(avatar_definition,[new_symbols(naming,[spl8_1])])). 1.30/1.49 % SZS output end Proof for theBenchmark 1.30/1.49 % ------------------------------ 1.30/1.49 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.30/1.49 % Termination reason: Refutation 1.30/1.49 1.30/1.49 % Memory used [KB]: 10106 1.30/1.49 % Time elapsed: 0.012 s 1.30/1.49 % ------------------------------ 1.30/1.49 % ------------------------------ 1.30/1.49 % Success in time 1.15 s 1.30/1.49 EOF