0.04/0.13 % Problem : Vampire---4.8_23803 : TPTP v0.0.0. Released v0.0.0. 0.04/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.15/0.36 % Computer : n002.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 : 1440 0.15/0.36 % WCLimit : 180 0.15/0.36 % DateTime : Mon Jul 3 13:02:52 EDT 2023 0.15/0.36 % CPUTime : 0.15/0.36 This is a THF_ problem 0.15/0.37 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.HuhRzcRGnd/Vampire---4.8_23803 -m 12000 -t 180 0.23/0.39 % (23912)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1800ds/36Mi) 0.23/0.39 % (23913)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1800ds/34Mi) 0.23/0.39 % (23914)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 (1800ds/385Mi) 0.23/0.39 % (23915)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1800ds/17Mi) 0.23/0.39 % (23916)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 (1800ds/74Mi) 0.23/0.39 % (23911)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1800ds/96Mi) 0.23/0.39 % (23917)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1800ds/4Mi) 0.23/0.39 % (23914)Refutation not found, incomplete strategy 0.23/0.39 % (23914)------------------------------ 0.23/0.39 % (23914)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.39 % (23914)Termination reason: Refutation not found, incomplete strategy 0.23/0.39 0.23/0.39 0.23/0.39 % (23914)Memory used [KB]: 5500 0.23/0.39 % (23914)Time elapsed: 0.003 s 0.23/0.39 % (23914)Instructions burned: 1 (million) 0.23/0.39 % (23914)------------------------------ 0.23/0.39 % (23914)------------------------------ 0.23/0.39 % (23913)Refutation not found, incomplete strategy 0.23/0.39 % (23913)------------------------------ 0.23/0.39 % (23913)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.39 % (23913)Termination reason: Refutation not found, incomplete strategy 0.23/0.39 0.23/0.39 0.23/0.39 % (23913)Memory used [KB]: 5500 0.23/0.39 % (23913)Time elapsed: 0.004 s 0.23/0.39 % (23913)Instructions burned: 2 (million) 0.23/0.39 % (23913)------------------------------ 0.23/0.39 % (23913)------------------------------ 0.23/0.39 % (23912)Refutation not found, incomplete strategy 0.23/0.39 % (23912)------------------------------ 0.23/0.39 % (23912)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.39 % (23912)Termination reason: Refutation not found, incomplete strategy 0.23/0.39 0.23/0.39 0.23/0.39 % (23912)Memory used [KB]: 5500 0.23/0.39 % (23912)Time elapsed: 0.005 s 0.23/0.39 % (23912)Instructions burned: 2 (million) 0.23/0.39 % (23912)------------------------------ 0.23/0.39 % (23912)------------------------------ 0.23/0.39 % (23916)Refutation not found, incomplete strategy 0.23/0.39 % (23916)------------------------------ 0.23/0.39 % (23916)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.39 % (23916)Termination reason: Refutation not found, incomplete strategy 0.23/0.39 0.23/0.39 0.23/0.39 % (23916)Memory used [KB]: 5500 0.23/0.39 % (23916)Time elapsed: 0.005 s 0.23/0.39 % (23916)Instructions burned: 4 (million) 0.23/0.39 % (23916)------------------------------ 0.23/0.39 % (23916)------------------------------ 0.23/0.39 % (23917)Instruction limit reached! 0.23/0.39 % (23917)------------------------------ 0.23/0.39 % (23917)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.39 % (23917)Termination reason: Unknown 0.23/0.39 % (23917)Termination phase: Saturation 0.23/0.39 0.23/0.39 % (23917)Memory used [KB]: 5500 0.23/0.39 % (23917)Time elapsed: 0.007 s 0.23/0.39 % (23917)Instructions burned: 4 (million) 0.23/0.39 % (23917)------------------------------ 0.23/0.39 % (23917)------------------------------ 0.23/0.40 % (23911)Refutation not found, incomplete strategy 0.23/0.40 % (23911)------------------------------ 0.23/0.40 % (23911)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.40 % (23911)Termination reason: Refutation not found, incomplete strategy 0.23/0.40 0.23/0.40 0.23/0.40 % (23911)Memory used [KB]: 5500 0.23/0.40 % (23911)Time elapsed: 0.009 s 0.23/0.40 % (23911)Instructions burned: 9 (million) 0.23/0.40 % (23911)------------------------------ 0.23/0.40 % (23911)------------------------------ 0.23/0.40 % (23915)Refutation not found, incomplete strategy 0.23/0.40 % (23915)------------------------------ 0.23/0.40 % (23915)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.40 % (23915)Termination reason: Refutation not found, incomplete strategy 0.23/0.40 0.23/0.40 0.23/0.40 % (23915)Memory used [KB]: 5628 0.23/0.40 % (23915)Time elapsed: 0.014 s 0.23/0.40 % (23915)Instructions burned: 16 (million) 0.23/0.40 % (23915)------------------------------ 0.23/0.40 % (23915)------------------------------ 0.23/0.40 % (23920)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.23/0.40 % (23919)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.23/0.40 % (23921)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.23/0.40 % (23922)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.23/0.40 % (23918)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 (1800ds/915Mi) 0.23/0.41 % (23923)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.23/0.41 % (23918)Refutation not found, incomplete strategy 0.23/0.41 % (23918)------------------------------ 0.23/0.41 % (23918)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.41 % (23918)Termination reason: Refutation not found, incomplete strategy 0.23/0.41 0.23/0.41 0.23/0.41 % (23918)Memory used [KB]: 5500 0.23/0.41 % (23918)Time elapsed: 0.028 s 0.23/0.41 % (23918)Instructions burned: 2 (million) 0.23/0.41 % (23918)------------------------------ 0.23/0.41 % (23918)------------------------------ 0.23/0.41 % (23924)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.23/0.41 % (23920)Instruction limit reached! 0.23/0.41 % (23920)------------------------------ 0.23/0.41 % (23920)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.41 % (23920)Termination reason: Unknown 0.23/0.41 % (23920)Termination phase: Saturation 0.23/0.41 0.23/0.41 % (23920)Memory used [KB]: 5500 0.23/0.41 % (23920)Time elapsed: 0.007 s 0.23/0.41 % (23920)Instructions burned: 7 (million) 0.23/0.41 % (23920)------------------------------ 0.23/0.41 % (23920)------------------------------ 0.23/0.41 % (23923)Refutation not found, incomplete strategy 0.23/0.41 % (23923)------------------------------ 0.23/0.41 % (23923)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.41 % (23923)Termination reason: Refutation not found, incomplete strategy 0.23/0.41 0.23/0.41 0.23/0.41 % (23923)Memory used [KB]: 5500 0.23/0.41 % (23923)Time elapsed: 0.004 s 0.23/0.41 % (23923)Instructions burned: 2 (million) 0.23/0.41 % (23924)Refutation not found, incomplete strategy 0.23/0.41 % (23924)------------------------------ 0.23/0.41 % (23924)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.41 % (23923)------------------------------ 0.23/0.41 % (23923)------------------------------ 0.23/0.41 % (23924)Termination reason: Refutation not found, incomplete strategy 0.23/0.41 0.23/0.41 0.23/0.41 % (23924)Memory used [KB]: 5500 0.23/0.41 % (23924)Time elapsed: 0.002 s 0.23/0.41 % (23924)Instructions burned: 2 (million) 0.23/0.41 % (23924)------------------------------ 0.23/0.41 % (23924)------------------------------ 0.23/0.41 % (23925)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.23/0.42 % (23921)First to succeed. 0.23/0.42 % (23919)Instruction limit reached! 0.23/0.42 % (23919)------------------------------ 0.23/0.42 % (23919)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.42 % (23919)Termination reason: Unknown 0.23/0.42 % (23919)Termination phase: Saturation 0.23/0.42 0.23/0.42 % (23919)Memory used [KB]: 5756 0.23/0.42 % (23919)Time elapsed: 0.017 s 0.23/0.42 % (23919)Instructions burned: 21 (million) 0.23/0.42 % (23919)------------------------------ 0.23/0.42 % (23919)------------------------------ 0.23/0.42 % (23928)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1799ds/2Mi) 0.23/0.42 % (23928)Instruction limit reached! 0.23/0.42 % (23928)------------------------------ 0.23/0.42 % (23928)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.42 % (23928)Termination reason: Unknown 0.23/0.42 % (23928)Termination phase: Saturation 0.23/0.42 0.23/0.42 % (23928)Memory used [KB]: 5500 0.23/0.42 % (23928)Time elapsed: 0.003 s 0.23/0.42 % (23928)Instructions burned: 2 (million) 0.23/0.42 % (23928)------------------------------ 0.23/0.42 % (23928)------------------------------ 0.23/0.42 % (23921)Refutation found. Thanks to Tanya! 0.23/0.42 % SZS status Theorem for Vampire---4 0.23/0.42 % SZS output start Proof for Vampire---4 0.23/0.42 thf(func_def_0, type, cG: $o > $o). 0.23/0.42 thf(func_def_1, type, cF: $o > $o). 0.23/0.42 thf(func_def_2, type, cP: ($o > $o) > $o). 0.23/0.42 thf(func_def_11, type, ph1: !>[X0: $tType]:(X0)). 0.23/0.42 thf(f476,plain,( 0.23/0.42 $false), 0.23/0.42 inference(avatar_sat_refutation,[],[f33,f64,f74,f122,f132,f140,f243,f244,f293,f294,f318,f378,f386,f387,f407,f408,f475])). 0.23/0.42 thf(f475,plain,( 0.23/0.42 ~spl0_5 | ~spl0_16 | ~spl0_19 | ~spl0_24), 0.23/0.42 inference(avatar_contradiction_clause,[],[f474])). 0.23/0.42 thf(f474,plain,( 0.23/0.42 $false | (~spl0_5 | ~spl0_16 | ~spl0_19 | ~spl0_24)), 0.23/0.42 inference(subsumption_resolution,[],[f468,f159])). 0.23/0.42 thf(f159,plain,( 0.23/0.42 ($false = sK3) | ~spl0_19), 0.23/0.42 inference(avatar_component_clause,[],[f157])). 0.23/0.42 thf(f157,plain,( 0.23/0.42 spl0_19 <=> ($false = sK3)), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])). 0.23/0.42 thf(f468,plain,( 0.23/0.42 ($false != sK3) | (~spl0_5 | ~spl0_16 | ~spl0_24)), 0.23/0.42 inference(trivial_inequality_removal,[],[f465])). 0.23/0.42 thf(f465,plain,( 0.23/0.42 ($false != sK3) | ($false = $true) | (~spl0_5 | ~spl0_16 | ~spl0_24)), 0.23/0.42 inference(constrained_superposition,[],[f59,f437])). 0.23/0.42 thf(f437,plain,( 0.23/0.42 ($false = (cG @ $false)) | (~spl0_16 | ~spl0_24)), 0.23/0.42 inference(forward_demodulation,[],[f130,f202])). 0.23/0.42 thf(f202,plain,( 0.23/0.42 ($false = sK5) | ~spl0_24), 0.23/0.42 inference(avatar_component_clause,[],[f200])). 0.23/0.42 thf(f200,plain,( 0.23/0.42 spl0_24 <=> ($false = sK5)), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])). 0.23/0.42 thf(f130,plain,( 0.23/0.42 ($false = (cG @ sK5)) | ~spl0_16), 0.23/0.42 inference(avatar_component_clause,[],[f128])). 0.23/0.42 thf(f128,plain,( 0.23/0.42 spl0_16 <=> ($false = (cG @ sK5))), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])). 0.23/0.42 thf(f59,plain,( 0.23/0.42 ((cG @ sK3) = $true) | ~spl0_5), 0.23/0.42 inference(avatar_component_clause,[],[f57])). 0.23/0.42 thf(f57,plain,( 0.23/0.42 spl0_5 <=> ((cG @ sK3) = $true)), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 0.23/0.42 thf(f408,plain,( 0.23/0.42 spl0_20 | spl0_19 | ~spl0_3 | ~spl0_5), 0.23/0.42 inference(avatar_split_clause,[],[f397,f57,f35,f157,f161])). 0.23/0.42 thf(f161,plain,( 0.23/0.42 spl0_20 <=> ($false = sK2)), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_20])])). 0.23/0.42 thf(f35,plain,( 0.23/0.42 spl0_3 <=> ($false = (cG @ sK2))), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 0.23/0.42 thf(f397,plain,( 0.23/0.42 ($false = sK3) | ($false = sK2) | (~spl0_3 | ~spl0_5)), 0.23/0.42 inference(binary_proxy_clausification,[],[f395])). 0.23/0.42 thf(f395,plain,( 0.23/0.42 (sK3 != sK2) | (~spl0_3 | ~spl0_5)), 0.23/0.42 inference(trivial_inequality_removal,[],[f392])). 0.23/0.42 thf(f392,plain,( 0.23/0.42 (sK3 != sK2) | ($false = $true) | (~spl0_3 | ~spl0_5)), 0.23/0.42 inference(constrained_superposition,[],[f59,f37])). 0.23/0.42 thf(f37,plain,( 0.23/0.42 ($false = (cG @ sK2)) | ~spl0_3), 0.23/0.42 inference(avatar_component_clause,[],[f35])). 0.23/0.42 thf(f407,plain,( 0.23/0.42 spl0_18 | spl0_17 | ~spl0_3 | ~spl0_5), 0.23/0.42 inference(avatar_split_clause,[],[f396,f57,f35,f148,f152])). 0.23/0.42 thf(f152,plain,( 0.23/0.42 spl0_18 <=> ($true = sK2)), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])). 0.23/0.42 thf(f148,plain,( 0.23/0.42 spl0_17 <=> (sK3 = $true)), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])). 0.23/0.42 thf(f396,plain,( 0.23/0.42 ($true = sK2) | (sK3 = $true) | (~spl0_3 | ~spl0_5)), 0.23/0.42 inference(binary_proxy_clausification,[],[f395])). 0.23/0.42 thf(f387,plain,( 0.23/0.42 spl0_16), 0.23/0.42 inference(avatar_split_clause,[],[f110,f128])). 0.23/0.42 thf(f110,plain,( 0.23/0.42 ($false = (cG @ sK5))), 0.23/0.42 inference(duplicate_literal_removal,[],[f107])). 0.23/0.42 thf(f107,plain,( 0.23/0.42 ($false = (cG @ sK5)) | ($false = (cG @ sK5))), 0.23/0.42 inference(binary_proxy_clausification,[],[f106])). 0.23/0.42 thf(f106,plain,( 0.23/0.42 ($false = (cG @ sK5)) | (((~ (cF @ sK5)) | (cG @ sK5)) = $false)), 0.23/0.42 inference(binary_proxy_clausification,[],[f104])). 0.23/0.42 thf(f104,plain,( 0.23/0.42 (((~ (cF @ sK5)) | (cG @ sK5)) != (cG @ sK5))), 0.23/0.42 inference(beta_eta_normalization,[],[f103])). 0.23/0.42 thf(f103,plain,( 0.23/0.42 ((cG @ sK5) != ((^[Y0 : $o]: ((~ (cF @ Y0)) | (cG @ Y0))) @ sK5))), 0.23/0.42 inference(negative_extensionality,[],[f46])). 0.23/0.42 thf(f46,plain,( 0.23/0.42 (cG != (^[Y0 : $o]: ((~ (cF @ Y0)) | (cG @ Y0))))), 0.23/0.42 inference(trivial_inequality_removal,[],[f44])). 0.23/0.42 thf(f44,plain,( 0.23/0.42 (cG != (^[Y0 : $o]: ((~ (cF @ Y0)) | (cG @ Y0)))) | ($true != $true)), 0.23/0.42 inference(constrained_superposition,[],[f9,f8])). 0.23/0.42 thf(f8,plain,( 0.23/0.42 ((cP @ cG) = $true)), 0.23/0.42 inference(cnf_transformation,[],[f7])). 0.23/0.42 thf(f7,plain,( 0.23/0.42 ((cP @ cF) = $true) & ((cP @ (^[Y0 : $o]: ((cF @ Y0) | (cG @ Y0)))) != $true) & ($true != (cP @ (^[Y0 : $o]: ((~ (cF @ Y0)) | (cG @ Y0))))) & ((cP @ cG) = $true)), 0.23/0.42 inference(flattening,[],[f6])). 0.23/0.42 thf(f6,plain,( 0.23/0.42 (((cP @ (^[Y0 : $o]: ((cF @ Y0) | (cG @ Y0)))) != $true) & ($true != (cP @ (^[Y0 : $o]: ((~ (cF @ Y0)) | (cG @ Y0)))))) & (((cP @ cG) = $true) & ((cP @ cF) = $true))), 0.23/0.42 inference(ennf_transformation,[],[f5])). 0.23/0.42 thf(f5,plain,( 0.23/0.42 ~((((cP @ cG) = $true) & ((cP @ cF) = $true)) => (((cP @ (^[Y0 : $o]: ((cF @ Y0) | (cG @ Y0)))) = $true) | ($true = (cP @ (^[Y0 : $o]: ((~ (cF @ Y0)) | (cG @ Y0)))))))), 0.23/0.42 inference(fool_elimination,[],[f4])). 0.23/0.42 thf(f4,plain,( 0.23/0.42 ~(((cP @ cF) & (cP @ cG)) => ((cP @ (^[X0 : $o] : ((cG @ X0) | ~(cF @ X0)))) | (cP @ (^[X1 : $o] : ((cG @ X1) | (cF @ X1))))))), 0.23/0.42 inference(rectify,[],[f2])). 0.23/0.42 thf(f2,negated_conjecture,( 0.23/0.42 ~(((cP @ cF) & (cP @ cG)) => ((cP @ (^[X0 : $o] : ((cG @ X0) | ~(cF @ X0)))) | (cP @ (^[X0 : $o] : ((cG @ X0) | (cF @ X0))))))), 0.23/0.42 inference(negated_conjecture,[],[f1])). 0.23/0.42 thf(f1,conjecture,( 0.23/0.42 ((cP @ cF) & (cP @ cG)) => ((cP @ (^[X0 : $o] : ((cG @ X0) | ~(cF @ X0)))) | (cP @ (^[X0 : $o] : ((cG @ X0) | (cF @ X0)))))), 0.23/0.42 file('/export/starexec/sandbox2/tmp/tmp.HuhRzcRGnd/Vampire---4.8_23803',cTHM627)). 0.23/0.42 thf(f9,plain,( 0.23/0.42 ($true != (cP @ (^[Y0 : $o]: ((~ (cF @ Y0)) | (cG @ Y0)))))), 0.23/0.42 inference(cnf_transformation,[],[f7])). 0.23/0.42 thf(f386,plain,( 0.23/0.42 ~spl0_18 | ~spl0_20), 0.23/0.42 inference(avatar_contradiction_clause,[],[f385])). 0.23/0.42 thf(f385,plain,( 0.23/0.42 $false | (~spl0_18 | ~spl0_20)), 0.23/0.42 inference(trivial_inequality_removal,[],[f384])). 0.23/0.42 thf(f384,plain,( 0.23/0.42 ($false = $true) | (~spl0_18 | ~spl0_20)), 0.23/0.42 inference(forward_demodulation,[],[f154,f163])). 0.23/0.42 thf(f163,plain,( 0.23/0.42 ($false = sK2) | ~spl0_20), 0.23/0.42 inference(avatar_component_clause,[],[f161])). 0.23/0.42 thf(f154,plain,( 0.23/0.42 ($true = sK2) | ~spl0_18), 0.23/0.42 inference(avatar_component_clause,[],[f152])). 0.23/0.42 thf(f378,plain,( 0.23/0.42 ~spl0_5 | ~spl0_17 | ~spl0_23), 0.23/0.42 inference(avatar_contradiction_clause,[],[f377])). 0.23/0.42 thf(f377,plain,( 0.23/0.42 $false | (~spl0_5 | ~spl0_17 | ~spl0_23)), 0.23/0.42 inference(trivial_inequality_removal,[],[f374])). 0.23/0.42 thf(f374,plain,( 0.23/0.42 ($false = $true) | (~spl0_5 | ~spl0_17 | ~spl0_23)), 0.23/0.42 inference(superposition,[],[f343,f362])). 0.23/0.42 thf(f362,plain,( 0.23/0.42 ($false = (cG @ $true)) | ~spl0_23), 0.23/0.42 inference(forward_demodulation,[],[f110,f197])). 0.23/0.42 thf(f197,plain,( 0.23/0.42 (sK5 = $true) | ~spl0_23), 0.23/0.42 inference(avatar_component_clause,[],[f195])). 0.23/0.42 thf(f195,plain,( 0.23/0.42 spl0_23 <=> (sK5 = $true)), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])). 0.23/0.42 thf(f343,plain,( 0.23/0.42 ($true = (cG @ $true)) | (~spl0_5 | ~spl0_17)), 0.23/0.42 inference(forward_demodulation,[],[f59,f150])). 0.23/0.42 thf(f150,plain,( 0.23/0.42 (sK3 = $true) | ~spl0_17), 0.23/0.42 inference(avatar_component_clause,[],[f148])). 0.23/0.42 thf(f318,plain,( 0.23/0.42 ~spl0_6 | ~spl0_7), 0.23/0.42 inference(avatar_contradiction_clause,[],[f317])). 0.23/0.42 thf(f317,plain,( 0.23/0.42 $false | (~spl0_6 | ~spl0_7)), 0.23/0.42 inference(trivial_inequality_removal,[],[f307])). 0.23/0.42 thf(f307,plain,( 0.23/0.42 ($false = $true) | (~spl0_6 | ~spl0_7)), 0.23/0.42 inference(superposition,[],[f63,f68])). 0.23/0.42 thf(f68,plain,( 0.23/0.42 ($false = (cF @ sK3)) | ~spl0_7), 0.23/0.42 inference(avatar_component_clause,[],[f66])). 0.23/0.42 thf(f66,plain,( 0.23/0.42 spl0_7 <=> ($false = (cF @ sK3))), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 0.23/0.42 thf(f63,plain,( 0.23/0.42 ((cF @ sK3) = $true) | ~spl0_6), 0.23/0.42 inference(avatar_component_clause,[],[f61])). 0.23/0.42 thf(f61,plain,( 0.23/0.42 spl0_6 <=> ((cF @ sK3) = $true)), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.23/0.42 thf(f294,plain,( 0.23/0.42 spl0_23 | spl0_18 | ~spl0_1 | ~spl0_13), 0.23/0.42 inference(avatar_split_clause,[],[f261,f115,f26,f152,f195])). 0.23/0.42 thf(f26,plain,( 0.23/0.42 spl0_1 <=> ($true = (cF @ sK2))), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.23/0.42 thf(f115,plain,( 0.23/0.42 spl0_13 <=> ($false = (cF @ sK5))), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 0.23/0.42 thf(f261,plain,( 0.23/0.42 (sK5 = $true) | ($true = sK2) | (~spl0_1 | ~spl0_13)), 0.23/0.42 inference(binary_proxy_clausification,[],[f260])). 0.23/0.42 thf(f260,plain,( 0.23/0.42 (sK5 != sK2) | (~spl0_1 | ~spl0_13)), 0.23/0.42 inference(trivial_inequality_removal,[],[f253])). 0.23/0.42 thf(f253,plain,( 0.23/0.42 ($false = $true) | (sK5 != sK2) | (~spl0_1 | ~spl0_13)), 0.23/0.42 inference(constrained_superposition,[],[f28,f117])). 0.23/0.42 thf(f117,plain,( 0.23/0.42 ($false = (cF @ sK5)) | ~spl0_13), 0.23/0.42 inference(avatar_component_clause,[],[f115])). 0.23/0.42 thf(f28,plain,( 0.23/0.42 ($true = (cF @ sK2)) | ~spl0_1), 0.23/0.42 inference(avatar_component_clause,[],[f26])). 0.23/0.42 thf(f293,plain,( 0.23/0.42 spl0_24 | spl0_20 | ~spl0_1 | ~spl0_13), 0.23/0.42 inference(avatar_split_clause,[],[f268,f115,f26,f161,f200])). 0.23/0.42 thf(f268,plain,( 0.23/0.42 ($false = sK5) | ($false = sK2) | (~spl0_1 | ~spl0_13)), 0.23/0.42 inference(binary_proxy_clausification,[],[f266])). 0.23/0.42 thf(f266,plain,( 0.23/0.42 (sK5 != sK2) | (~spl0_1 | ~spl0_13)), 0.23/0.42 inference(trivial_inequality_removal,[],[f249])). 0.23/0.42 thf(f249,plain,( 0.23/0.42 ($false = $true) | (sK5 != sK2) | (~spl0_1 | ~spl0_13)), 0.23/0.42 inference(constrained_superposition,[],[f117,f28])). 0.23/0.42 thf(f244,plain,( 0.23/0.42 spl0_20 | spl0_24 | ~spl0_3 | ~spl0_14), 0.23/0.42 inference(avatar_split_clause,[],[f232,f119,f35,f200,f161])). 0.23/0.42 thf(f119,plain,( 0.23/0.42 spl0_14 <=> ($true = (cG @ sK5))), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])). 0.23/0.42 thf(f232,plain,( 0.23/0.42 ($false = sK5) | ($false = sK2) | (~spl0_3 | ~spl0_14)), 0.23/0.42 inference(binary_proxy_clausification,[],[f230])). 0.23/0.42 thf(f230,plain,( 0.23/0.42 (sK5 != sK2) | (~spl0_3 | ~spl0_14)), 0.23/0.42 inference(trivial_inequality_removal,[],[f229])). 0.23/0.42 thf(f229,plain,( 0.23/0.42 ($false = $true) | (sK5 != sK2) | (~spl0_3 | ~spl0_14)), 0.23/0.42 inference(constrained_superposition,[],[f37,f121])). 0.23/0.42 thf(f121,plain,( 0.23/0.42 ($true = (cG @ sK5)) | ~spl0_14), 0.23/0.42 inference(avatar_component_clause,[],[f119])). 0.23/0.42 thf(f243,plain,( 0.23/0.42 spl0_18 | spl0_23 | ~spl0_3 | ~spl0_14), 0.23/0.42 inference(avatar_split_clause,[],[f231,f119,f35,f195,f152])). 0.23/0.42 thf(f231,plain,( 0.23/0.42 (sK5 = $true) | ($true = sK2) | (~spl0_3 | ~spl0_14)), 0.23/0.42 inference(binary_proxy_clausification,[],[f230])). 0.23/0.42 thf(f140,plain,( 0.23/0.42 ~spl0_2 | ~spl0_3), 0.23/0.42 inference(avatar_contradiction_clause,[],[f139])). 0.23/0.42 thf(f139,plain,( 0.23/0.42 $false | (~spl0_2 | ~spl0_3)), 0.23/0.42 inference(trivial_inequality_removal,[],[f134])). 0.23/0.42 thf(f134,plain,( 0.23/0.42 ($false = $true) | (~spl0_2 | ~spl0_3)), 0.23/0.42 inference(superposition,[],[f37,f32])). 0.23/0.42 thf(f32,plain,( 0.23/0.42 ((cG @ sK2) = $true) | ~spl0_2), 0.23/0.42 inference(avatar_component_clause,[],[f30])). 0.23/0.42 thf(f30,plain,( 0.23/0.42 spl0_2 <=> ((cG @ sK2) = $true)), 0.23/0.42 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.23/0.42 thf(f132,plain,( 0.23/0.42 spl0_3), 0.23/0.42 inference(avatar_split_clause,[],[f22,f35])). 0.23/0.42 thf(f22,plain,( 0.23/0.42 ($false = (cG @ sK2))), 0.23/0.42 inference(duplicate_literal_removal,[],[f20])). 0.23/0.42 thf(f20,plain,( 0.23/0.42 ($false = (cG @ sK2)) | ($false = (cG @ sK2))), 0.23/0.42 inference(binary_proxy_clausification,[],[f19])). 0.23/0.42 thf(f19,plain,( 0.23/0.42 ($false = ((cF @ sK2) | (cG @ sK2))) | ($false = (cG @ sK2))), 0.23/0.42 inference(binary_proxy_clausification,[],[f17])). 0.23/0.42 thf(f17,plain,( 0.23/0.42 ((cG @ sK2) != ((cF @ sK2) | (cG @ sK2)))), 0.23/0.42 inference(beta_eta_normalization,[],[f16])). 0.23/0.42 thf(f16,plain,( 0.23/0.42 ((cG @ sK2) != ((^[Y0 : $o]: ((cF @ Y0) | (cG @ Y0))) @ sK2))), 0.23/0.42 inference(negative_extensionality,[],[f14])). 0.23/0.42 thf(f14,plain,( 0.23/0.42 (cG != (^[Y0 : $o]: ((cF @ Y0) | (cG @ Y0))))), 0.23/0.42 inference(trivial_inequality_removal,[],[f13])). 0.23/0.42 thf(f13,plain,( 0.23/0.42 (cG != (^[Y0 : $o]: ((cF @ Y0) | (cG @ Y0)))) | ($true != $true)), 0.23/0.42 inference(constrained_superposition,[],[f10,f8])). 0.23/0.42 thf(f10,plain,( 0.23/0.42 ((cP @ (^[Y0 : $o]: ((cF @ Y0) | (cG @ Y0)))) != $true)), 0.23/0.42 inference(cnf_transformation,[],[f7])). 0.23/0.42 thf(f122,plain,( 0.23/0.42 spl0_13 | spl0_14), 0.23/0.42 inference(avatar_split_clause,[],[f113,f119,f115])). 0.23/0.42 thf(f113,plain,( 0.23/0.42 ($true = (cG @ sK5)) | ($false = (cF @ sK5))), 0.23/0.42 inference(not_proxy_clausification,[],[f112])). 0.23/0.42 thf(f112,plain,( 0.23/0.42 ($true = (cG @ sK5)) | ((~ (cF @ sK5)) = $true)), 0.23/0.42 inference(duplicate_literal_removal,[],[f111])). 0.23/0.42 thf(f111,plain,( 0.23/0.42 ($true = (cG @ sK5)) | ($true = (cG @ sK5)) | ((~ (cF @ sK5)) = $true)), 0.23/0.42 inference(binary_proxy_clausification,[],[f105])). 0.23/0.42 thf(f105,plain,( 0.23/0.42 ($true = (cG @ sK5)) | (((~ (cF @ sK5)) | (cG @ sK5)) = $true)), 0.23/0.42 inference(binary_proxy_clausification,[],[f104])). 0.23/0.42 thf(f74,plain,( 0.23/0.42 spl0_7), 0.23/0.42 inference(avatar_split_clause,[],[f53,f66])). 0.23/0.42 thf(f53,plain,( 0.23/0.42 ($false = (cF @ sK3))), 0.23/0.42 inference(duplicate_literal_removal,[],[f52])). 0.23/0.42 thf(f52,plain,( 0.23/0.42 ($false = (cF @ sK3)) | ($false = (cF @ sK3))), 0.23/0.42 inference(binary_proxy_clausification,[],[f50])). 0.23/0.42 thf(f50,plain,( 0.23/0.42 ($false = (cF @ sK3)) | ($false = ((cF @ sK3) | (cG @ sK3)))), 0.23/0.42 inference(binary_proxy_clausification,[],[f48])). 0.23/0.42 thf(f48,plain,( 0.23/0.42 ((cF @ sK3) != ((cF @ sK3) | (cG @ sK3)))), 0.23/0.42 inference(beta_eta_normalization,[],[f47])). 0.23/0.42 thf(f47,plain,( 0.23/0.42 (((^[Y0 : $o]: ((cF @ Y0) | (cG @ Y0))) @ sK3) != (cF @ sK3))), 0.23/0.42 inference(negative_extensionality,[],[f15])). 0.23/0.42 thf(f15,plain,( 0.23/0.42 (cF != (^[Y0 : $o]: ((cF @ Y0) | (cG @ Y0))))), 0.23/0.42 inference(trivial_inequality_removal,[],[f12])). 0.23/0.42 thf(f12,plain,( 0.23/0.42 (cF != (^[Y0 : $o]: ((cF @ Y0) | (cG @ Y0)))) | ($true != $true)), 0.23/0.42 inference(constrained_superposition,[],[f10,f11])). 0.23/0.42 thf(f11,plain,( 0.23/0.42 ((cP @ cF) = $true)), 0.23/0.42 inference(cnf_transformation,[],[f7])). 0.23/0.42 thf(f64,plain,( 0.23/0.42 spl0_5 | spl0_6), 0.23/0.42 inference(avatar_split_clause,[],[f55,f61,f57])). 0.23/0.42 thf(f55,plain,( 0.23/0.42 ((cF @ sK3) = $true) | ((cG @ sK3) = $true)), 0.23/0.42 inference(duplicate_literal_removal,[],[f54])). 0.23/0.42 thf(f54,plain,( 0.23/0.42 ((cF @ sK3) = $true) | ((cF @ sK3) = $true) | ((cG @ sK3) = $true)), 0.23/0.42 inference(binary_proxy_clausification,[],[f49])). 0.23/0.42 thf(f49,plain,( 0.23/0.42 ($true = ((cF @ sK3) | (cG @ sK3))) | ((cF @ sK3) = $true)), 0.23/0.42 inference(binary_proxy_clausification,[],[f48])). 0.23/0.42 thf(f33,plain,( 0.23/0.42 spl0_1 | spl0_2), 0.23/0.42 inference(avatar_split_clause,[],[f24,f30,f26])). 0.23/0.42 thf(f24,plain,( 0.23/0.42 ($true = (cF @ sK2)) | ((cG @ sK2) = $true)), 0.23/0.42 inference(duplicate_literal_removal,[],[f23])). 0.23/0.42 thf(f23,plain,( 0.23/0.42 ((cG @ sK2) = $true) | ($true = (cF @ sK2)) | ((cG @ sK2) = $true)), 0.23/0.42 inference(binary_proxy_clausification,[],[f18])). 0.23/0.42 thf(f18,plain,( 0.23/0.42 ($true = ((cF @ sK2) | (cG @ sK2))) | ((cG @ sK2) = $true)), 0.23/0.42 inference(binary_proxy_clausification,[],[f17])). 0.23/0.42 % SZS output end Proof for Vampire---4 0.23/0.42 % (23921)------------------------------ 0.23/0.42 % (23921)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.23/0.42 % (23921)Termination reason: Refutation 0.23/0.42 0.23/0.42 % (23921)Memory used [KB]: 5628 0.23/0.42 % (23921)Time elapsed: 0.018 s 0.23/0.42 % (23921)Instructions burned: 19 (million) 0.23/0.42 % (23921)------------------------------ 0.23/0.42 % (23921)------------------------------ 0.23/0.42 % (23910)Success in time 0.041 s 0.23/0.42 % Vampire---4.8 exiting 0.23/0.42 EOF