0.03/0.13 % Problem : Vampire---4.8_11278 : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.35 % Computer : n017.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1440 0.15/0.35 % WCLimit : 180 0.15/0.35 % DateTime : Mon Jul 3 12:19:09 EDT 2023 0.15/0.36 % CPUTime : 0.15/0.36 This is a THF_ problem 0.15/0.36 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.NJsXAFSek9/Vampire---4.8_11278 -m 12000 -t 180 0.21/0.38 % (11497)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.21/0.38 % (11499)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.21/0.38 % (11500)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.21/0.38 % (11501)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.21/0.38 % (11502)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.21/0.38 % (11502)Instruction limit reached! 0.21/0.38 % (11502)------------------------------ 0.21/0.38 % (11502)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.38 % (11502)Termination reason: Unknown 0.21/0.38 % (11502)Termination phase: Saturation 0.21/0.38 0.21/0.38 % (11502)Memory used [KB]: 5500 0.21/0.38 % (11502)Time elapsed: 0.004 s 0.21/0.38 % (11502)Instructions burned: 4 (million) 0.21/0.38 % (11502)------------------------------ 0.21/0.38 % (11502)------------------------------ 0.21/0.38 % (11497)Refutation not found, incomplete strategy 0.21/0.38 % (11497)------------------------------ 0.21/0.38 % (11497)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.38 % (11497)Termination reason: Refutation not found, incomplete strategy 0.21/0.38 0.21/0.38 0.21/0.38 % (11497)Memory used [KB]: 5500 0.21/0.38 % (11497)Time elapsed: 0.006 s 0.21/0.38 % (11497)Instructions burned: 5 (million) 0.21/0.38 % (11497)------------------------------ 0.21/0.38 % (11497)------------------------------ 0.21/0.38 % (11499)First to succeed. 0.21/0.39 % (11498)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.21/0.39 % (11503)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.21/0.39 % (11500)Also succeeded, but the first one will report. 0.21/0.39 % (11499)Refutation found. Thanks to Tanya! 0.21/0.39 % SZS status Theorem for Vampire---4 0.21/0.39 % SZS output start Proof for Vampire---4 0.21/0.39 thf(func_def_0, type, in: $i > ($i > $o) > $o). 0.21/0.39 thf(func_def_2, type, is_a: $i > ($i > $o) > $o). 0.21/0.39 thf(func_def_3, type, emptyset: $i > $o). 0.21/0.39 thf(func_def_4, type, unord_pair: $i > $i > $i > $o). 0.21/0.39 thf(func_def_5, type, singleton: $i > $i > $o). 0.21/0.39 thf(func_def_6, type, union: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.39 thf(func_def_7, type, excl_union: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.39 thf(func_def_8, type, intersection: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.39 thf(func_def_9, type, setminus: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.39 thf(func_def_10, type, complement: ($i > $o) > $i > $o). 0.21/0.39 thf(func_def_11, type, disjoint: ($i > $o) > ($i > $o) > $o). 0.21/0.39 thf(func_def_12, type, subset: ($i > $o) > ($i > $o) > $o). 0.21/0.39 thf(func_def_13, type, meets: ($i > $o) > ($i > $o) > $o). 0.21/0.39 thf(func_def_14, type, misses: ($i > $o) > ($i > $o) > $o). 0.21/0.39 thf(func_def_28, type, sK0: $i > $o). 0.21/0.39 thf(func_def_29, type, sK1: $i > $o). 0.21/0.39 thf(func_def_31, type, ph3: !>[X0: $tType]:(X0)). 0.21/0.39 thf(f148,plain,( 0.21/0.39 $false), 0.21/0.39 inference(avatar_sat_refutation,[],[f75,f76,f103,f127,f136,f139,f147])). 0.21/0.39 thf(f147,plain,( 0.21/0.39 ~spl2_1 | spl2_5 | ~spl2_6), 0.21/0.39 inference(avatar_contradiction_clause,[],[f146])). 0.21/0.39 thf(f146,plain,( 0.21/0.39 $false | (~spl2_1 | spl2_5 | ~spl2_6)), 0.21/0.39 inference(subsumption_resolution,[],[f142,f130])). 0.21/0.39 thf(f130,plain,( 0.21/0.39 ((sK0 @ sK5) != $false) | spl2_5), 0.21/0.39 inference(avatar_component_clause,[],[f129])). 0.21/0.39 thf(f129,plain,( 0.21/0.39 spl2_5 <=> ((sK0 @ sK5) = $false)), 0.21/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_5])])). 0.21/0.39 thf(f142,plain,( 0.21/0.39 ((sK0 @ sK5) = $false) | (~spl2_1 | ~spl2_6)), 0.21/0.39 inference(trivial_inequality_removal,[],[f140])). 0.21/0.39 thf(f140,plain,( 0.21/0.39 ((sK0 @ sK5) = $false) | ($true = $false) | (~spl2_1 | ~spl2_6)), 0.21/0.39 inference(superposition,[],[f135,f106])). 0.21/0.39 thf(f106,plain,( 0.21/0.39 ( ! [X1 : $i] : (((sK1 @ X1) = $false) | ((sK0 @ X1) = $false)) ) | ~spl2_1), 0.21/0.39 inference(binary_proxy_clausification,[],[f105])). 0.21/0.39 thf(f105,plain,( 0.21/0.39 ( ! [X1 : $i] : ((((sK0 @ X1) & (sK1 @ X1)) = $false)) ) | ~spl2_1), 0.21/0.39 inference(beta_eta_normalization,[],[f104])). 0.21/0.39 thf(f104,plain,( 0.21/0.39 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK0 @ Y0) & (sK1 @ Y0))) @ X1) = ((^[Y0 : $i]: ($false)) @ X1))) ) | ~spl2_1), 0.21/0.39 inference(argument_congruence,[],[f69])). 0.21/0.39 thf(f69,plain,( 0.21/0.39 ((^[Y0 : $i]: ((sK0 @ Y0) & (sK1 @ Y0))) = (^[Y0 : $i]: ($false))) | ~spl2_1), 0.21/0.39 inference(avatar_component_clause,[],[f68])). 0.21/0.39 thf(f68,plain,( 0.21/0.39 spl2_1 <=> ((^[Y0 : $i]: ((sK0 @ Y0) & (sK1 @ Y0))) = (^[Y0 : $i]: ($false)))), 0.21/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])). 0.21/0.39 thf(f135,plain,( 0.21/0.39 ((sK1 @ sK5) = $true) | ~spl2_6), 0.21/0.39 inference(avatar_component_clause,[],[f133])). 0.21/0.39 thf(f133,plain,( 0.21/0.39 spl2_6 <=> ((sK1 @ sK5) = $true)), 0.21/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_6])])). 0.21/0.39 thf(f139,plain,( 0.21/0.39 ~spl2_4 | ~spl2_5), 0.21/0.39 inference(avatar_contradiction_clause,[],[f138])). 0.21/0.39 thf(f138,plain,( 0.21/0.39 $false | (~spl2_4 | ~spl2_5)), 0.21/0.39 inference(trivial_inequality_removal,[],[f137])). 0.21/0.39 thf(f137,plain,( 0.21/0.39 ($true = $false) | (~spl2_4 | ~spl2_5)), 0.21/0.39 inference(backward_demodulation,[],[f125,f131])). 0.21/0.39 thf(f131,plain,( 0.21/0.39 ((sK0 @ sK5) = $false) | ~spl2_5), 0.21/0.39 inference(avatar_component_clause,[],[f129])). 0.21/0.39 thf(f125,plain,( 0.21/0.39 ($true = (sK0 @ sK5)) | ~spl2_4), 0.21/0.39 inference(avatar_component_clause,[],[f123])). 0.21/0.39 thf(f123,plain,( 0.21/0.39 spl2_4 <=> ($true = (sK0 @ sK5))), 0.21/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_4])])). 0.21/0.39 thf(f136,plain,( 0.21/0.39 spl2_5 | spl2_6 | spl2_2), 0.21/0.39 inference(avatar_split_clause,[],[f113,f72,f133,f129])). 0.21/0.39 thf(f72,plain,( 0.21/0.39 spl2_2 <=> (sK0 = (^[Y0 : $i]: ((sK0 @ Y0) & (~ (sK1 @ Y0)))))), 0.21/0.39 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])). 0.21/0.39 thf(f113,plain,( 0.21/0.39 ((sK1 @ sK5) = $true) | ((sK0 @ sK5) = $false) | spl2_2), 0.21/0.39 inference(not_proxy_clausification,[],[f112])). 0.21/0.39 thf(f112,plain,( 0.21/0.39 ($false = (~ (sK1 @ sK5))) | ((sK0 @ sK5) = $false) | spl2_2), 0.21/0.39 inference(duplicate_literal_removal,[],[f111])). 0.21/0.39 thf(f111,plain,( 0.21/0.39 ((sK0 @ sK5) = $false) | ($false = (~ (sK1 @ sK5))) | ((sK0 @ sK5) = $false) | spl2_2), 0.21/0.39 inference(binary_proxy_clausification,[],[f110])). 0.21/0.39 thf(f110,plain,( 0.21/0.39 ((sK0 @ sK5) = $false) | ($false = ((sK0 @ sK5) & (~ (sK1 @ sK5)))) | spl2_2), 0.21/0.39 inference(binary_proxy_clausification,[],[f108])). 0.21/0.39 thf(f108,plain,( 0.21/0.39 ((sK0 @ sK5) != ((sK0 @ sK5) & (~ (sK1 @ sK5)))) | spl2_2), 0.21/0.39 inference(beta_eta_normalization,[],[f107])). 0.21/0.39 thf(f107,plain,( 0.21/0.39 (((^[Y0 : $i]: ((sK0 @ Y0) & (~ (sK1 @ Y0)))) @ sK5) != (sK0 @ sK5)) | spl2_2), 0.21/0.39 inference(negative_extensionality,[],[f74])). 0.21/0.39 thf(f74,plain,( 0.21/0.39 (sK0 != (^[Y0 : $i]: ((sK0 @ Y0) & (~ (sK1 @ Y0))))) | spl2_2), 0.21/0.39 inference(avatar_component_clause,[],[f72])). 0.21/0.39 thf(f127,plain,( 0.21/0.39 spl2_4 | spl2_2), 0.21/0.39 inference(avatar_split_clause,[],[f116,f72,f123])). 0.21/0.39 thf(f116,plain,( 0.21/0.39 ($true = (sK0 @ sK5)) | spl2_2), 0.21/0.39 inference(duplicate_literal_removal,[],[f115])). 0.21/0.39 thf(f115,plain,( 0.21/0.39 ($true = (sK0 @ sK5)) | ($true = (sK0 @ sK5)) | spl2_2), 0.21/0.39 inference(binary_proxy_clausification,[],[f109])). 0.21/0.39 thf(f109,plain,( 0.21/0.39 ($true = (sK0 @ sK5)) | ($true = ((sK0 @ sK5) & (~ (sK1 @ sK5)))) | spl2_2), 0.21/0.39 inference(binary_proxy_clausification,[],[f108])). 0.21/0.39 thf(f103,plain,( 0.21/0.39 spl2_1 | ~spl2_2), 0.21/0.39 inference(avatar_contradiction_clause,[],[f102])). 0.21/0.39 thf(f102,plain,( 0.21/0.39 $false | (spl2_1 | ~spl2_2)), 0.21/0.39 inference(trivial_inequality_removal,[],[f101])). 0.21/0.39 thf(f101,plain,( 0.21/0.39 ($true = $false) | (spl2_1 | ~spl2_2)), 0.21/0.39 inference(backward_demodulation,[],[f80,f100])). 0.21/0.39 thf(f100,plain,( 0.21/0.39 ((sK0 @ sK4) = $false) | (spl2_1 | ~spl2_2)), 0.21/0.39 inference(trivial_inequality_removal,[],[f91])). 0.21/0.39 thf(f91,plain,( 0.21/0.39 ($true = $false) | ((sK0 @ sK4) = $false) | (spl2_1 | ~spl2_2)), 0.21/0.39 inference(superposition,[],[f87,f79])). 0.21/0.39 thf(f79,plain,( 0.21/0.39 ($true = (sK1 @ sK4)) | spl2_1), 0.21/0.39 inference(binary_proxy_clausification,[],[f78])). 0.21/0.39 thf(f78,plain,( 0.21/0.39 (((sK0 @ sK4) & (sK1 @ sK4)) != $false) | spl2_1), 0.21/0.39 inference(beta_eta_normalization,[],[f77])). 0.21/0.39 thf(f77,plain,( 0.21/0.39 (((^[Y0 : $i]: ($false)) @ sK4) != ((^[Y0 : $i]: ((sK0 @ Y0) & (sK1 @ Y0))) @ sK4)) | spl2_1), 0.21/0.39 inference(negative_extensionality,[],[f70])). 0.21/0.39 thf(f70,plain,( 0.21/0.39 ((^[Y0 : $i]: ((sK0 @ Y0) & (sK1 @ Y0))) != (^[Y0 : $i]: ($false))) | spl2_1), 0.21/0.39 inference(avatar_component_clause,[],[f68])). 0.21/0.39 thf(f87,plain,( 0.21/0.39 ( ! [X1 : $i] : (((sK1 @ X1) = $false) | ((sK0 @ X1) = $false)) ) | ~spl2_2), 0.21/0.39 inference(not_proxy_clausification,[],[f85])). 0.21/0.39 thf(f85,plain,( 0.21/0.39 ( ! [X1 : $i] : (((sK0 @ X1) = $false) | ($true = (~ (sK1 @ X1)))) ) | ~spl2_2), 0.21/0.39 inference(binary_proxy_clausification,[],[f84])). 0.21/0.39 thf(f84,plain,( 0.21/0.39 ( ! [X1 : $i] : (($true = ((sK0 @ X1) & (~ (sK1 @ X1)))) | ((sK0 @ X1) = $false)) ) | ~spl2_2), 0.21/0.39 inference(binary_proxy_clausification,[],[f82])). 0.21/0.39 thf(f82,plain,( 0.21/0.39 ( ! [X1 : $i] : (((sK0 @ X1) = ((sK0 @ X1) & (~ (sK1 @ X1))))) ) | ~spl2_2), 0.21/0.39 inference(beta_eta_normalization,[],[f81])). 0.21/0.39 thf(f81,plain,( 0.21/0.39 ( ! [X1 : $i] : (((sK0 @ X1) = ((^[Y0 : $i]: ((sK0 @ Y0) & (~ (sK1 @ Y0)))) @ X1))) ) | ~spl2_2), 0.21/0.39 inference(argument_congruence,[],[f73])). 0.21/0.39 thf(f73,plain,( 0.21/0.39 (sK0 = (^[Y0 : $i]: ((sK0 @ Y0) & (~ (sK1 @ Y0))))) | ~spl2_2), 0.21/0.39 inference(avatar_component_clause,[],[f72])). 0.21/0.39 thf(f80,plain,( 0.21/0.39 ($true = (sK0 @ sK4)) | spl2_1), 0.21/0.39 inference(binary_proxy_clausification,[],[f78])). 0.21/0.39 thf(f76,plain,( 0.21/0.39 spl2_2 | spl2_1), 0.21/0.39 inference(avatar_split_clause,[],[f65,f68,f72])). 0.21/0.39 thf(f65,plain,( 0.21/0.39 (sK0 = (^[Y0 : $i]: ((sK0 @ Y0) & (~ (sK1 @ Y0))))) | ((^[Y0 : $i]: ((sK0 @ Y0) & (sK1 @ Y0))) = (^[Y0 : $i]: ($false)))), 0.21/0.39 inference(beta_eta_normalization,[],[f64])). 0.21/0.39 thf(f64,plain,( 0.21/0.39 (sK0 = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 @ Y2)))))))) @ sK0 @ sK1)) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ sK0 @ sK1) = (^[Y0 : $i]: ($false)))), 0.21/0.39 inference(definition_unfolding,[],[f48,f58,f52,f57])). 0.21/0.39 thf(f57,plain,( 0.21/0.39 (setminus = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 @ Y2)))))))))), 0.21/0.39 inference(cnf_transformation,[],[f21])). 0.21/0.39 thf(f21,plain,( 0.21/0.39 (setminus = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 @ Y2)))))))))), 0.21/0.39 inference(fool_elimination,[],[f20])). 0.21/0.39 thf(f20,plain,( 0.21/0.39 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : (~(X1 @ X2) & (X0 @ X2))) = setminus)), 0.21/0.39 inference(rectify,[],[f9])). 0.21/0.39 thf(f9,axiom,( 0.21/0.39 ((^[X0 : $i > $o, X2 : $i > $o, X3 : $i] : (~(X2 @ X3) & (X0 @ X3))) = setminus)), 0.21/0.39 file('/export/starexec/sandbox2/tmp/tmp.NJsXAFSek9/Vampire---4.8_11278',setminus)). 0.21/0.39 thf(f52,plain,( 0.21/0.39 (intersection = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))), 0.21/0.39 inference(cnf_transformation,[],[f35])). 0.21/0.39 thf(f35,plain,( 0.21/0.39 (intersection = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))), 0.21/0.39 inference(fool_elimination,[],[f34])). 0.21/0.39 thf(f34,plain,( 0.21/0.39 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) & (X0 @ X2))) = intersection)), 0.21/0.39 inference(rectify,[],[f8])). 0.21/0.39 thf(f8,axiom,( 0.21/0.39 ((^[X0 : $i > $o, X2 : $i > $o, X3 : $i] : ((X2 @ X3) & (X0 @ X3))) = intersection)), 0.21/0.39 file('/export/starexec/sandbox2/tmp/tmp.NJsXAFSek9/Vampire---4.8_11278',intersection)). 0.21/0.39 thf(f58,plain,( 0.21/0.39 (emptyset = (^[Y0 : $i]: ($false)))), 0.21/0.39 inference(cnf_transformation,[],[f31])). 0.21/0.39 thf(f31,plain,( 0.21/0.39 (emptyset = (^[Y0 : $i]: ($false)))), 0.21/0.39 inference(fool_elimination,[],[f3])). 0.21/0.39 thf(f3,axiom,( 0.21/0.39 (emptyset = (^[X0 : $i] : ($false)))), 0.21/0.39 file('/export/starexec/sandbox2/tmp/tmp.NJsXAFSek9/Vampire---4.8_11278',emptyset)). 0.21/0.39 thf(f48,plain,( 0.21/0.39 (emptyset = (intersection @ sK0 @ sK1)) | (sK0 = (setminus @ sK0 @ sK1))), 0.21/0.39 inference(cnf_transformation,[],[f47])). 0.21/0.39 thf(f47,plain,( 0.21/0.39 ((emptyset != (intersection @ sK0 @ sK1)) | (sK0 != (setminus @ sK0 @ sK1))) & ((emptyset = (intersection @ sK0 @ sK1)) | (sK0 = (setminus @ sK0 @ sK1)))), 0.21/0.39 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f46])). 0.21/0.39 thf(f46,plain,( 0.21/0.39 ? [X0 : $i > $o,X1 : $i > $o] : (((emptyset != (intersection @ X0 @ X1)) | ((setminus @ X0 @ X1) != X0)) & ((emptyset = (intersection @ X0 @ X1)) | ((setminus @ X0 @ X1) = X0))) => (((emptyset != (intersection @ sK0 @ sK1)) | (sK0 != (setminus @ sK0 @ sK1))) & ((emptyset = (intersection @ sK0 @ sK1)) | (sK0 = (setminus @ sK0 @ sK1))))), 0.21/0.39 introduced(choice_axiom,[])). 0.21/0.39 thf(f45,plain,( 0.21/0.39 ? [X0 : $i > $o,X1 : $i > $o] : (((emptyset != (intersection @ X0 @ X1)) | ((setminus @ X0 @ X1) != X0)) & ((emptyset = (intersection @ X0 @ X1)) | ((setminus @ X0 @ X1) = X0)))), 0.21/0.39 inference(nnf_transformation,[],[f44])). 0.21/0.39 thf(f44,plain,( 0.21/0.39 ? [X0 : $i > $o,X1 : $i > $o] : (((setminus @ X0 @ X1) = X0) <~> (emptyset = (intersection @ X0 @ X1)))), 0.21/0.39 inference(ennf_transformation,[],[f43])). 0.21/0.39 thf(f43,plain,( 0.21/0.39 ~! [X0 : $i > $o,X1 : $i > $o] : (((setminus @ X0 @ X1) = X0) <=> (emptyset = (intersection @ X0 @ X1)))), 0.21/0.39 inference(rectify,[],[f16])). 0.21/0.39 thf(f16,negated_conjecture,( 0.21/0.39 ~! [X4 : $i > $o,X5 : $i > $o] : ((emptyset = (intersection @ X4 @ X5)) <=> ((setminus @ X4 @ X5) = X4))), 0.21/0.39 inference(negated_conjecture,[],[f15])). 0.21/0.39 thf(f15,conjecture,( 0.21/0.39 ! [X4 : $i > $o,X5 : $i > $o] : ((emptyset = (intersection @ X4 @ X5)) <=> ((setminus @ X4 @ X5) = X4))), 0.21/0.39 file('/export/starexec/sandbox2/tmp/tmp.NJsXAFSek9/Vampire---4.8_11278',thm)). 0.21/0.39 thf(f75,plain,( 0.21/0.39 ~spl2_1 | ~spl2_2), 0.21/0.39 inference(avatar_split_clause,[],[f66,f72,f68])). 0.21/0.39 thf(f66,plain,( 0.21/0.39 ((^[Y0 : $i]: ((sK0 @ Y0) & (sK1 @ Y0))) != (^[Y0 : $i]: ($false))) | (sK0 != (^[Y0 : $i]: ((sK0 @ Y0) & (~ (sK1 @ Y0)))))), 0.21/0.39 inference(beta_eta_normalization,[],[f63])). 0.21/0.39 thf(f63,plain,( 0.21/0.39 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))) @ sK0 @ sK1) != (^[Y0 : $i]: ($false))) | (sK0 != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (~ (Y1 @ Y2)))))))) @ sK0 @ sK1))), 0.21/0.39 inference(definition_unfolding,[],[f49,f58,f52,f57])). 0.21/0.39 thf(f49,plain,( 0.21/0.39 (emptyset != (intersection @ sK0 @ sK1)) | (sK0 != (setminus @ sK0 @ sK1))), 0.21/0.39 inference(cnf_transformation,[],[f47])). 0.21/0.39 % SZS output end Proof for Vampire---4 0.21/0.39 % (11499)------------------------------ 0.21/0.39 % (11499)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.21/0.39 % (11499)Termination reason: Refutation 0.21/0.39 0.21/0.39 % (11499)Memory used [KB]: 5500 0.21/0.39 % (11499)Time elapsed: 0.009 s 0.21/0.39 % (11499)Instructions burned: 7 (million) 0.21/0.39 % (11499)------------------------------ 0.21/0.39 % (11499)------------------------------ 0.21/0.39 % (11492)Success in time 0.022 s 0.21/0.39 % Vampire---4.8 exiting 0.21/0.39 EOF