0.11/0.13	% Problem    : Vampire---4.8_25410 : TPTP v0.0.0. Released v0.0.0.
0.11/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.15/0.35	% Computer : n012.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 13:05:52 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.icLXLuQR3s/Vampire---4.8_25410 -m 12000  -t 180
0.15/0.38	% (25598)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.15/0.38	% (25600)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)
0.15/0.38	% (25597)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.15/0.38	% (25604)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)
0.15/0.38	% (25601)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.15/0.38	% (25599)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)
0.15/0.38	% (25602)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)
0.15/0.38	% (25603)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)
0.15/0.38	% (25604)Refutation not found, incomplete strategy
0.15/0.38	% (25604)------------------------------
0.15/0.38	% (25604)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.38	% (25604)Termination reason: Refutation not found, incomplete strategy
0.15/0.38	
0.15/0.38	
0.15/0.38	% (25604)Memory used [KB]: 5500
0.15/0.38	% (25604)Time elapsed: 0.005 s
0.15/0.38	% (25604)Instructions burned: 6 (million)
0.15/0.38	% (25604)------------------------------
0.15/0.38	% (25604)------------------------------
0.15/0.38	% (25603)Instruction limit reached!
0.15/0.38	% (25603)------------------------------
0.15/0.38	% (25603)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.38	% (25603)Termination reason: Unknown
0.15/0.38	% (25603)Termination phase: Property scanning
0.15/0.38	
0.15/0.38	% (25603)Memory used [KB]: 1023
0.15/0.38	% (25603)Time elapsed: 0.005 s
0.15/0.38	% (25603)Instructions burned: 4 (million)
0.15/0.38	% (25603)------------------------------
0.15/0.38	% (25603)------------------------------
0.15/0.39	% (25601)Instruction limit reached!
0.15/0.39	% (25601)------------------------------
0.15/0.39	% (25601)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (25601)Termination reason: Unknown
0.15/0.39	% (25601)Termination phase: Saturation
0.15/0.39	
0.15/0.39	% (25601)Memory used [KB]: 5628
0.15/0.39	% (25601)Time elapsed: 0.011 s
0.15/0.39	% (25601)Instructions burned: 17 (million)
0.15/0.39	% (25601)------------------------------
0.15/0.39	% (25601)------------------------------
0.15/0.40	% (25610)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.15/0.40	% (25599)Instruction limit reached!
0.15/0.40	% (25599)------------------------------
0.15/0.40	% (25599)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.40	% (25599)Termination reason: Unknown
0.15/0.40	% (25599)Termination phase: Saturation
0.15/0.40	
0.15/0.40	% (25599)Memory used [KB]: 5884
0.15/0.40	% (25599)Time elapsed: 0.022 s
0.15/0.40	% (25599)Instructions burned: 34 (million)
0.15/0.40	% (25599)------------------------------
0.15/0.40	% (25599)------------------------------
0.15/0.40	% (25598)Instruction limit reached!
0.15/0.40	% (25598)------------------------------
0.15/0.40	% (25598)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.40	% (25598)Termination reason: Unknown
0.15/0.40	% (25598)Termination phase: Saturation
0.15/0.40	
0.15/0.40	% (25598)Memory used [KB]: 5756
0.15/0.40	% (25598)Time elapsed: 0.024 s
0.15/0.40	% (25598)Instructions burned: 37 (million)
0.15/0.40	% (25598)------------------------------
0.15/0.40	% (25598)------------------------------
0.15/0.40	% (25610)Instruction limit reached!
0.15/0.40	% (25610)------------------------------
0.15/0.40	% (25610)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.40	% (25610)Termination reason: Unknown
0.15/0.40	% (25610)Termination phase: Saturation
0.15/0.40	
0.15/0.40	% (25610)Memory used [KB]: 5500
0.15/0.40	% (25610)Time elapsed: 0.006 s
0.15/0.40	% (25610)Instructions burned: 8 (million)
0.15/0.40	% (25610)------------------------------
0.15/0.40	% (25610)------------------------------
0.15/0.40	% (25611)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)
0.15/0.41	% (25609)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)
0.15/0.42	% (25612)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)
0.15/0.42	% (25613)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)
0.15/0.42	% (25614)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)
0.22/0.42	% (25613)Instruction limit reached!
0.22/0.42	% (25613)------------------------------
0.22/0.42	% (25613)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.42	% (25613)Termination reason: Unknown
0.22/0.42	% (25613)Termination phase: Saturation
0.22/0.42	
0.22/0.42	% (25613)Memory used [KB]: 5500
0.22/0.42	% (25613)Time elapsed: 0.007 s
0.22/0.42	% (25613)Instructions burned: 9 (million)
0.22/0.42	% (25613)------------------------------
0.22/0.42	% (25613)------------------------------
0.22/0.42	% (25609)Instruction limit reached!
0.22/0.42	% (25609)------------------------------
0.22/0.42	% (25609)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.42	% (25609)Termination reason: Unknown
0.22/0.42	% (25609)Termination phase: Saturation
0.22/0.42	
0.22/0.42	% (25609)Memory used [KB]: 5756
0.22/0.42	% (25609)Time elapsed: 0.017 s
0.22/0.42	% (25609)Instructions burned: 21 (million)
0.22/0.42	% (25609)------------------------------
0.22/0.42	% (25609)------------------------------
0.22/0.43	% (25602)Instruction limit reached!
0.22/0.43	% (25602)------------------------------
0.22/0.43	% (25602)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.43	% (25602)Termination reason: Unknown
0.22/0.43	% (25602)Termination phase: Saturation
0.22/0.43	
0.22/0.43	% (25602)Memory used [KB]: 6012
0.22/0.43	% (25602)Time elapsed: 0.053 s
0.22/0.43	% (25602)Instructions burned: 74 (million)
0.22/0.43	% (25602)------------------------------
0.22/0.43	% (25602)------------------------------
0.22/0.43	% (25600)First to succeed.
0.22/0.44	% (25615)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)
0.22/0.44	% (25597)Instruction limit reached!
0.22/0.44	% (25597)------------------------------
0.22/0.44	% (25597)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.44	% (25597)Termination reason: Unknown
0.22/0.44	% (25597)Termination phase: Saturation
0.22/0.44	
0.22/0.44	% (25597)Memory used [KB]: 6012
0.22/0.44	% (25597)Time elapsed: 0.061 s
0.22/0.44	% (25597)Instructions burned: 97 (million)
0.22/0.44	% (25597)------------------------------
0.22/0.44	% (25597)------------------------------
0.22/0.44	% (25616)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.22/0.45	% (25600)Refutation found. Thanks to Tanya!
0.22/0.45	% SZS status Theorem for Vampire---4
0.22/0.45	% SZS output start Proof for Vampire---4
0.22/0.45	thf(type_def_5, type, mworld: $tType).
0.22/0.45	thf(func_def_0, type, mworld: $tType).
0.22/0.45	thf(func_def_1, type, mrel: mworld > mworld > $o).
0.22/0.45	thf(func_def_2, type, mactual: mworld).
0.22/0.45	thf(func_def_3, type, mlocal: (mworld > $o) > $o).
0.22/0.45	thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
0.22/0.45	thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
0.22/0.45	thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
0.22/0.45	thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
0.22/0.45	thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
0.22/0.45	thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
0.22/0.45	thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
0.22/0.45	thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
0.22/0.45	thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
0.22/0.45	thf(func_def_16, type, number: $i > $i > mworld > $o).
0.22/0.45	thf(func_def_17, type, string: $i > mworld > $o).
0.22/0.45	thf(func_def_18, type, in: $i > $i > $i > mworld > $o).
0.22/0.45	thf(func_def_19, type, do: $i > $i > $i > mworld > $o).
0.22/0.45	thf(func_def_20, type, entry_box: $i > mworld > $o).
0.22/0.45	thf(func_def_21, type, userid: $i > $i > mworld > $o).
0.22/0.45	thf(func_def_41, type, sK1: mworld).
0.22/0.45	thf(func_def_42, type, sK2: $i > $i > mworld).
0.22/0.45	thf(func_def_43, type, sK3: $i > $i > $i > $i > mworld).
0.22/0.45	thf(func_def_44, type, sK4: $i > $i > $i > $i > $i).
0.22/0.45	thf(func_def_45, type, sK5: $i > $i > $i > $i > mworld).
0.22/0.45	thf(func_def_46, type, sK6: $i > $i > $i > $i > $i).
0.22/0.45	thf(func_def_47, type, sK7: mworld > $i > $i > $i > $i).
0.22/0.45	thf(func_def_49, type, sK9: mworld > $i).
0.22/0.45	thf(f354,plain,(
0.22/0.45	  $false),
0.22/0.45	  inference(avatar_sat_refutation,[],[f254,f285,f304,f353])).
0.22/0.45	thf(f353,plain,(
0.22/0.45	  spl0_1 | ~spl0_3),
0.22/0.45	  inference(avatar_contradiction_clause,[],[f352])).
0.22/0.45	thf(f352,plain,(
0.22/0.45	  $false | (spl0_1 | ~spl0_3)),
0.22/0.45	  inference(trivial_inequality_removal,[],[f351])).
0.22/0.45	thf(f351,plain,(
0.22/0.45	  ($true = $false) | (spl0_1 | ~spl0_3)),
0.22/0.45	  inference(backward_demodulation,[],[f158,f350])).
0.22/0.45	thf(f350,plain,(
0.22/0.45	  ($false = (entry_box @ sK8 @ sK1)) | (spl0_1 | ~spl0_3)),
0.22/0.45	  inference(subsumption_resolution,[],[f349,f244])).
0.22/0.45	thf(f244,plain,(
0.22/0.45	  ((string @ (sK9 @ mactual) @ sK1) != $false) | spl0_1),
0.22/0.45	  inference(avatar_component_clause,[],[f243])).
0.22/0.45	thf(f243,plain,(
0.22/0.45	  spl0_1 <=> ((string @ (sK9 @ mactual) @ sK1) = $false)),
0.22/0.45	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.22/0.45	thf(f349,plain,(
0.22/0.45	  ((string @ (sK9 @ mactual) @ sK1) = $false) | ($false = (entry_box @ sK8 @ sK1)) | ~spl0_3),
0.22/0.45	  inference(subsumption_resolution,[],[f341,f74])).
0.22/0.45	thf(f74,plain,(
0.22/0.45	  ($true = (mrel @ mactual @ sK1))),
0.22/0.45	  inference(binary_proxy_clausification,[],[f72])).
0.22/0.45	thf(f72,plain,(
0.22/0.45	  (((mrel @ mactual @ sK1) => (?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (((number @ Y1 @ one @ Y4) & (entry_box @ Y1 @ Y4)) & (userid @ u @ Y0 @ Y4))))))))))))))) = $false)),
0.22/0.45	  inference(beta_eta_normalization,[],[f71])).
0.22/0.45	thf(f71,plain,(
0.22/0.45	  (((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y4 @ Y3 @ Y6 @ Y5) => (in @ Y1 @ Y2 @ Y6 @ Y5))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (((number @ Y2 @ one @ Y5) & (entry_box @ Y2 @ Y5)) & (userid @ u @ Y1 @ Y5)))))))))))))))) @ sK1) = $false)),
0.22/0.45	  inference(sigma_clausification,[],[f70])).
0.22/0.45	thf(f70,plain,(
0.22/0.45	  ($true != (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y4 @ Y3 @ Y6 @ Y5) => (in @ Y1 @ Y2 @ Y6 @ Y5))))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (((number @ Y2 @ one @ Y5) & (entry_box @ Y2 @ Y5)) & (userid @ u @ Y1 @ Y5))))))))))))))))))),
0.22/0.45	  inference(beta_eta_normalization,[],[f67])).
0.22/0.45	thf(f67,plain,(
0.22/0.45	  (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ (userid @ u @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y5 @ Y6) & (Y4 @ Y6))))))) @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : $i > mworld > $o]: ((^[Y5 : mworld]: (!! @ $i @ (^[Y6 : $i]: (Y4 @ Y6 @ Y5)))))) @ (^[Y4 : $i]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld > $o]: ((^[Y7 : mworld]: ((Y5 @ Y7) => (Y6 @ Y7))))))) @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))) != $true)),
0.22/0.45	  inference(definition_unfolding,[],[f60,f59,f64,f62,f62,f62,f62,f55,f64,f55,f55,f64,f53,f58])).
0.22/0.45	thf(f58,plain,(
0.22/0.45	  (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
0.22/0.45	  inference(cnf_transformation,[],[f32])).
0.22/0.45	thf(f32,plain,(
0.22/0.45	  (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
0.22/0.45	  inference(fool_elimination,[],[f31])).
0.22/0.45	thf(f31,plain,(
0.22/0.45	  ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
0.22/0.45	  inference(rectify,[],[f5])).
0.22/0.45	thf(f5,axiom,(
0.22/0.45	  ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',mimplies_def)).
0.22/0.45	thf(f53,plain,(
0.22/0.45	  (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
0.22/0.45	  inference(cnf_transformation,[],[f36])).
0.22/0.45	thf(f36,plain,(
0.22/0.45	  (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
0.22/0.45	  inference(fool_elimination,[],[f35])).
0.22/0.45	thf(f35,plain,(
0.22/0.45	  (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : (X0 @ X2 @ X1))))),
0.22/0.45	  inference(rectify,[],[f9])).
0.22/0.45	thf(f9,axiom,(
0.22/0.45	  (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : (X1 @ X5 @ X2))))),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',mforall_di_def)).
0.22/0.45	thf(f55,plain,(
0.22/0.45	  (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
0.22/0.45	  inference(cnf_transformation,[],[f26])).
0.22/0.45	thf(f26,plain,(
0.22/0.45	  (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
0.22/0.45	  inference(fool_elimination,[],[f25])).
0.22/0.45	thf(f25,plain,(
0.22/0.45	  ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))) = mand)),
0.22/0.45	  inference(rectify,[],[f3])).
0.22/0.45	thf(f3,axiom,(
0.22/0.45	  ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))) = mand)),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',mand_def)).
0.22/0.45	thf(f62,plain,(
0.22/0.45	  (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
0.22/0.45	  inference(cnf_transformation,[],[f34])).
0.22/0.45	thf(f34,plain,(
0.22/0.45	  (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
0.22/0.45	  inference(fool_elimination,[],[f33])).
0.22/0.45	thf(f33,plain,(
0.22/0.45	  (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : (X0 @ X2 @ X1))))),
0.22/0.45	  inference(rectify,[],[f10])).
0.22/0.45	thf(f10,axiom,(
0.22/0.45	  (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : (X1 @ X5 @ X2))))),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',mexists_di_def)).
0.22/0.45	thf(f64,plain,(
0.22/0.45	  (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
0.22/0.45	  inference(cnf_transformation,[],[f47])).
0.22/0.45	thf(f47,plain,(
0.22/0.45	  (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
0.22/0.45	  inference(fool_elimination,[],[f46])).
0.22/0.45	thf(f46,plain,(
0.22/0.45	  ((^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))) = mbox)),
0.22/0.45	  inference(rectify,[],[f7])).
0.22/0.45	thf(f7,axiom,(
0.22/0.45	  ((^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))) = mbox)),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',mbox_def)).
0.22/0.45	thf(f59,plain,(
0.22/0.45	  (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
0.22/0.45	  inference(cnf_transformation,[],[f37])).
0.22/0.45	thf(f37,plain,(
0.22/0.45	  (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
0.22/0.45	  inference(fool_elimination,[],[f1])).
0.22/0.45	thf(f1,axiom,(
0.22/0.45	  ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',mlocal_def)).
0.22/0.45	thf(f60,plain,(
0.22/0.45	  ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))))),
0.22/0.45	  inference(cnf_transformation,[],[f50])).
0.22/0.45	thf(f50,plain,(
0.22/0.45	  ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))))),
0.22/0.45	  inference(flattening,[],[f20])).
0.22/0.45	thf(f20,plain,(
0.22/0.45	  ~($true = (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))))),
0.22/0.45	  inference(fool_elimination,[],[f19])).
0.22/0.45	thf(f19,plain,(
0.22/0.45	  ~(mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X3 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X0) @ (mand @ (entry_box @ X1) @ (number @ X1 @ one)))) @ (mbox @ (mforall_di @ (^[X4 : $i] : (mimplies @ (do @ X3 @ X2 @ X4) @ (in @ X0 @ X1 @ X4))))))))))))))))),
0.22/0.45	  inference(rectify,[],[f17])).
0.22/0.45	thf(f17,negated_conjecture,(
0.22/0.45	  ~(mlocal @ (mbox @ (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X3 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X6 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X7) @ (mand @ (entry_box @ X3) @ (number @ X3 @ one)))) @ (mbox @ (mforall_di @ (^[X8 : $i] : (mimplies @ (do @ X6 @ X1 @ X8) @ (in @ X7 @ X3 @ X8))))))))))))))))),
0.22/0.45	  inference(negated_conjecture,[],[f16])).
0.22/0.45	thf(f16,conjecture,(
0.22/0.45	  (mlocal @ (mbox @ (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X3 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X6 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X7) @ (mand @ (entry_box @ X3) @ (number @ X3 @ one)))) @ (mbox @ (mforall_di @ (^[X8 : $i] : (mimplies @ (do @ X6 @ X1 @ X8) @ (in @ X7 @ X3 @ X8))))))))))))))))),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',con)).
0.22/0.45	thf(f341,plain,(
0.22/0.45	  ($false = (entry_box @ sK8 @ sK1)) | ($true != (mrel @ mactual @ sK1)) | ((string @ (sK9 @ mactual) @ sK1) = $false) | ~spl0_3),
0.22/0.45	  inference(trivial_inequality_removal,[],[f340])).
0.22/0.45	thf(f340,plain,(
0.22/0.45	  ($true != (mrel @ mactual @ sK1)) | ($false = (entry_box @ sK8 @ sK1)) | ($true != $true) | ((string @ (sK9 @ mactual) @ sK1) = $false) | ~spl0_3),
0.22/0.45	  inference(superposition,[],[f332,f191])).
0.22/0.45	thf(f191,plain,(
0.22/0.45	  ( ! [X0 : $i,X1 : $i] : (($true = (mrel @ sK1 @ (sK2 @ X0 @ X1))) | ((entry_box @ X1 @ sK1) = $false) | ((string @ X0 @ sK1) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f190])).
0.22/0.45	thf(f190,plain,(
0.22/0.45	  ( ! [X0 : $i,X1 : $i] : (((entry_box @ X1 @ sK1) = $false) | ($true = (mrel @ sK1 @ (sK2 @ X0 @ X1))) | ((string @ X0 @ sK1) = $false) | ($true = $false)) )),
0.22/0.45	  inference(forward_demodulation,[],[f188,f74])).
0.22/0.45	thf(f188,plain,(
0.22/0.45	  ( ! [X0 : $i,X1 : $i] : (((string @ X0 @ sK1) = $false) | ($true = (mrel @ sK1 @ (sK2 @ X0 @ X1))) | ((entry_box @ X1 @ sK1) = $false) | ((mrel @ mactual @ sK1) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f187])).
0.22/0.45	thf(f187,plain,(
0.22/0.45	  ( ! [X0 : $i,X1 : $i] : (((entry_box @ X1 @ sK1) = $false) | ((mrel @ mactual @ sK1) = $false) | ((string @ X0 @ sK1) = $false) | ($true = $false) | ($true = (mrel @ sK1 @ (sK2 @ X0 @ X1)))) )),
0.22/0.45	  inference(duplicate_literal_removal,[],[f181])).
0.22/0.45	thf(f181,plain,(
0.22/0.45	  ( ! [X0 : $i,X1 : $i] : (((mrel @ mactual @ sK1) = $false) | ($true = (mrel @ sK1 @ (sK2 @ X0 @ X1))) | ((entry_box @ X1 @ sK1) = $false) | ((string @ X0 @ sK1) = $false) | ($true = $false) | ($true = (mrel @ sK1 @ (sK2 @ X0 @ X1)))) )),
0.22/0.45	  inference(superposition,[],[f173,f91])).
0.22/0.45	thf(f91,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK3 @ X3 @ X1 @ X4 @ X2)) = $true) | ($true = (mrel @ sK1 @ (sK2 @ X1 @ X2)))) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f89])).
0.22/0.45	thf(f89,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (mrel @ sK1 @ (sK2 @ X1 @ X2))) | (((mrel @ sK1 @ (sK3 @ X3 @ X1 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2)))))) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f88])).
0.22/0.45	thf(f88,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (mrel @ sK1 @ (sK2 @ X1 @ X2))) | (((^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))) @ (sK3 @ X3 @ X1 @ X4 @ X2)) = $false)) )),
0.22/0.45	  inference(sigma_clausification,[],[f87])).
0.22/0.45	thf(f87,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (mrel @ sK1 @ (sK2 @ X1 @ X2))) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f85])).
0.22/0.45	thf(f85,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((mrel @ sK1 @ (sK2 @ X1 @ X2)) => (((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) & (userid @ u @ X1 @ (sK2 @ X1 @ X2)))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f84])).
0.22/0.45	thf(f84,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false) | (((^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (((number @ X2 @ one @ Y0) & (entry_box @ X2 @ Y0)) & (userid @ u @ X1 @ Y0)))) @ (sK2 @ X1 @ X2)) = $false)) )),
0.22/0.45	  inference(sigma_clausification,[],[f83])).
0.22/0.45	thf(f83,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (((number @ X2 @ one @ Y0) & (entry_box @ X2 @ Y0)) & (userid @ u @ X1 @ Y0))))) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f82])).
0.22/0.45	thf(f82,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (((number @ X2 @ one @ Y0) & (entry_box @ X2 @ Y0)) & (userid @ u @ X1 @ Y0)))))) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f81])).
0.22/0.45	thf(f81,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => (((number @ X2 @ one @ Y1) & (entry_box @ X2 @ Y1)) & (userid @ u @ X1 @ Y1))))))) @ X4) = $false)) )),
0.22/0.45	  inference(pi_clausification,[],[f80])).
0.22/0.45	thf(f80,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1))))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK1 @ Y1) => (((number @ X2 @ one @ Y1) & (entry_box @ X2 @ Y1)) & (userid @ u @ X1 @ Y1)))))))) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f79])).
0.22/0.45	thf(f79,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => (((number @ X2 @ one @ Y2) & (entry_box @ X2 @ Y2)) & (userid @ u @ X1 @ Y2))))))))) @ X3) = $false)) )),
0.22/0.45	  inference(pi_clausification,[],[f78])).
0.22/0.45	thf(f78,plain,(
0.22/0.45	  ( ! [X2 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2))))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK1 @ Y2) => (((number @ X2 @ one @ Y2) & (entry_box @ X2 @ Y2)) & (userid @ u @ X1 @ Y2)))))))))) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f77])).
0.22/0.45	thf(f77,plain,(
0.22/0.45	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => (((number @ Y0 @ one @ Y3) & (entry_box @ Y0 @ Y3)) & (userid @ u @ X1 @ Y3))))))))))) @ X2) = $false)) )),
0.22/0.45	  inference(pi_clausification,[],[f76])).
0.22/0.45	thf(f76,plain,(
0.22/0.45	  ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3))))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK1 @ Y3) => (((number @ Y0 @ one @ Y3) & (entry_box @ Y0 @ Y3)) & (userid @ u @ X1 @ Y3)))))))))))) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f75])).
0.22/0.45	thf(f75,plain,(
0.22/0.45	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (((number @ Y1 @ one @ Y4) & (entry_box @ Y1 @ Y4)) & (userid @ u @ Y0 @ Y4))))))))))))) @ X1) = $false)) )),
0.22/0.45	  inference(pi_clausification,[],[f73])).
0.22/0.45	thf(f73,plain,(
0.22/0.45	  ((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4))))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK1 @ Y4) => (((number @ Y1 @ one @ Y4) & (entry_box @ Y1 @ Y4)) & (userid @ u @ Y0 @ Y4)))))))))))))) = $false)),
0.22/0.45	  inference(binary_proxy_clausification,[],[f72])).
0.22/0.45	thf(f173,plain,(
0.22/0.45	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK3 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false) | ($true = (mrel @ sK1 @ (sK2 @ X0 @ X1))) | ((entry_box @ X1 @ X2) = $false) | ((string @ X0 @ X2) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f172])).
0.22/0.45	thf(f172,plain,(
0.22/0.45	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((entry_box @ X1 @ X2) = $false) | ($true = $false) | ((mrel @ X2 @ (sK3 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ($true = (mrel @ sK1 @ (sK2 @ X0 @ X1))) | ((string @ X0 @ X2) = $false) | ((mrel @ mactual @ X2) = $false)) )),
0.22/0.45	  inference(duplicate_literal_removal,[],[f168])).
0.22/0.45	thf(f168,plain,(
0.22/0.45	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (($true = (mrel @ sK1 @ (sK2 @ X0 @ X1))) | ($true = (mrel @ sK1 @ (sK2 @ X0 @ X1))) | ((entry_box @ X1 @ X2) = $false) | ((string @ X0 @ X2) = $false) | ($true = $false) | ((mrel @ X2 @ (sK3 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false)) )),
0.22/0.45	  inference(superposition,[],[f163,f94])).
0.22/0.45	thf(f94,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK3 @ X3 @ X1 @ X4 @ X2)) = $false) | ($true = (mrel @ sK1 @ (sK2 @ X1 @ X2)))) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f93])).
0.22/0.45	thf(f93,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (mrel @ sK1 @ (sK2 @ X1 @ X2))) | (((do @ X4 @ X3 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK3 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK3 @ X3 @ X1 @ X4 @ X2))) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f92])).
0.22/0.45	thf(f92,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (mrel @ sK1 @ (sK2 @ X1 @ X2))) | (((^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2)))) @ (sK4 @ X1 @ X2 @ X3 @ X4)) = $false)) )),
0.22/0.45	  inference(sigma_clausification,[],[f90])).
0.22/0.45	thf(f90,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK3 @ X3 @ X1 @ X4 @ X2))))) = $false) | ($true = (mrel @ sK1 @ (sK2 @ X1 @ X2)))) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f89])).
0.22/0.45	thf(f163,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((in @ X2 @ X3 @ (sK4 @ X4 @ X5 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0) @ (sK3 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $true) | ((entry_box @ X3 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((string @ X2 @ X1) = $false) | ($true = (mrel @ sK1 @ (sK2 @ X4 @ X5))) | ((mrel @ X1 @ (sK3 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f161])).
0.22/0.45	thf(f161,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((entry_box @ X3 @ X1) = $false) | ((mrel @ X1 @ (sK3 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $false) | ((in @ X2 @ X3 @ (sK4 @ X4 @ X5 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0) @ (sK3 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5)) = $true) | ((mrel @ mactual @ X1) = $false) | ($true = $false) | ($true = (mrel @ sK1 @ (sK2 @ X4 @ X5))) | ((string @ X2 @ X1) = $false)) )),
0.22/0.45	  inference(superposition,[],[f128,f95])).
0.22/0.45	thf(f95,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (do @ X4 @ X3 @ (sK4 @ X1 @ X2 @ X3 @ X4) @ (sK3 @ X3 @ X1 @ X4 @ X2))) | ($true = (mrel @ sK1 @ (sK2 @ X1 @ X2)))) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f93])).
0.22/0.45	thf(f128,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ X6 @ X5) = $false) | ((string @ X3 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X5) = $false) | ((entry_box @ X4 @ X1) = $false) | ($true = (in @ X3 @ X4 @ X6 @ X5))) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f127])).
0.22/0.45	thf(f127,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((string @ X3 @ X1) = $false) | ((mrel @ X1 @ X5) = $false) | ((entry_box @ X4 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ($true = ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ X6 @ X5) => (in @ X3 @ X4 @ X6 @ X5)))) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f126])).
0.22/0.45	thf(f126,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((string @ X3 @ X1) = $false) | ((mrel @ X1 @ X5) = $false) | ($true = ((^[Y0 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5))) @ X6)) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false)) )),
0.22/0.45	  inference(pi_clausification,[],[f125])).
0.22/0.45	thf(f125,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (((string @ X3 @ X1) = $false) | ((mrel @ X1 @ X5) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5))))) | ((entry_box @ X4 @ X1) = $false) | ((mrel @ mactual @ X1) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f124])).
0.22/0.45	thf(f124,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false) | ((string @ X3 @ X1) = $false) | ($true = ((mrel @ X1 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5))))))) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f123])).
0.22/0.45	thf(f123,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (((string @ X3 @ X1) = $false) | ((entry_box @ X4 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ($true = ((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0)))))) @ X5))) )),
0.22/0.45	  inference(pi_clausification,[],[f122])).
0.22/0.45	thf(f122,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((string @ X3 @ X1) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0))))))) = $true) | ((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f121])).
0.22/0.45	thf(f121,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((entry_box @ X4 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((string @ X3 @ X1) = $false) | (((^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) @ (sK7 @ X1 @ X3 @ X4 @ X2)) = $true)) )),
0.22/0.45	  inference(sigma_clausification,[],[f120])).
0.22/0.45	thf(f120,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((mrel @ mactual @ X1) = $false) | ((entry_box @ X4 @ X1) = $false) | ((?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1))))))))) = $true) | ((string @ X3 @ X1) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f119])).
0.22/0.45	thf(f119,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((mrel @ mactual @ X1) = $false) | (((entry_box @ X4 @ X1) & (string @ X3 @ X1)) = $false) | ((?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1))))))))) = $true)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f118])).
0.22/0.45	thf(f118,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($true = (((entry_box @ X4 @ X1) & (string @ X3 @ X1)) => (?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1))))))))))) | ((mrel @ mactual @ X1) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f117])).
0.22/0.45	thf(f117,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((mrel @ mactual @ X1) = $false) | ($true = ((^[Y0 : $i]: (((entry_box @ Y0 @ X1) & (string @ X3 @ X1)) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2))))))))))) @ X4))) )),
0.22/0.45	  inference(pi_clausification,[],[f116])).
0.22/0.45	thf(f116,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: (((entry_box @ Y0 @ X1) & (string @ X3 @ X1)) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2)))))))))))))) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f115])).
0.22/0.45	thf(f115,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((entry_box @ Y1 @ X1) & (string @ Y0 @ X1)) => (?? @ $i @ (^[Y2 : $i]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3))))))))))))) @ X3))) )),
0.22/0.45	  inference(pi_clausification,[],[f114])).
0.22/0.45	thf(f114,plain,(
0.22/0.45	  ( ! [X2 : $i,X1 : mworld] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((entry_box @ Y1 @ X1) & (string @ Y0 @ X1)) => (?? @ $i @ (^[Y2 : $i]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3))))))))))))))) | ((mrel @ mactual @ X1) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f113])).
0.22/0.45	thf(f113,plain,(
0.22/0.45	  ( ! [X2 : $i,X1 : mworld] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((entry_box @ Y2 @ X1) & (string @ Y1 @ X1)) => (?? @ $i @ (^[Y3 : $i]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4))))))))))))))) @ X2)) | ((mrel @ mactual @ X1) = $false)) )),
0.22/0.45	  inference(pi_clausification,[],[f112])).
0.22/0.45	thf(f112,plain,(
0.22/0.45	  ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((entry_box @ Y2 @ X1) & (string @ Y1 @ X1)) => (?? @ $i @ (^[Y3 : $i]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4)))))))))))))))))) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f111])).
0.22/0.45	thf(f111,plain,(
0.22/0.45	  ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((entry_box @ Y2 @ X1) & (string @ Y1 @ X1)) => (?? @ $i @ (^[Y3 : $i]: (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4))))))))))))))))) = $true)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f110])).
0.22/0.45	thf(f110,plain,(
0.22/0.45	  ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((entry_box @ Y3 @ Y0) & (string @ Y2 @ Y0)) => (?? @ $i @ (^[Y4 : $i]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y1 @ Y4 @ Y6 @ Y5) => (in @ Y2 @ Y3 @ Y6 @ Y5)))))))))))))))))) @ X1))) )),
0.22/0.45	  inference(pi_clausification,[],[f109])).
0.22/0.45	thf(f109,plain,(
0.22/0.45	  ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((entry_box @ Y3 @ Y0) & (string @ Y2 @ Y0)) => (?? @ $i @ (^[Y4 : $i]: (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((do @ Y1 @ Y4 @ Y6 @ Y5) => (in @ Y2 @ Y3 @ Y6 @ Y5))))))))))))))))))))),
0.22/0.45	  inference(beta_eta_normalization,[],[f66])).
0.22/0.45	thf(f66,plain,(
0.22/0.45	  (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) & (Y3 @ Y5))))))) @ (string @ Y1) @ (entry_box @ Y2)) @ ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : $i > mworld > $o]: ((^[Y5 : mworld]: (!! @ $i @ (^[Y6 : $i]: (Y4 @ Y6 @ Y5)))))) @ (^[Y4 : $i]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld > $o]: ((^[Y7 : mworld]: ((Y5 @ Y7) => (Y6 @ Y7))))))) @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
0.22/0.45	  inference(definition_unfolding,[],[f57,f59,f64,f53,f53,f53,f58,f55,f62,f64,f53,f58])).
0.22/0.45	thf(f57,plain,(
0.22/0.45	  ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mand @ (string @ Y1) @ (entry_box @ Y2)) @ (mexists_di @ (^[Y3 : $i]: (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
0.22/0.45	  inference(cnf_transformation,[],[f22])).
0.22/0.45	thf(f22,plain,(
0.22/0.45	  ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mand @ (string @ Y1) @ (entry_box @ Y2)) @ (mexists_di @ (^[Y3 : $i]: (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
0.22/0.45	  inference(fool_elimination,[],[f21])).
0.22/0.45	thf(f21,plain,(
0.22/0.45	  (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mimplies @ (mand @ (string @ X1) @ (entry_box @ X2)) @ (mexists_di @ (^[X3 : $i] : (mbox @ (mforall_di @ (^[X4 : $i] : (mimplies @ (do @ X0 @ X3 @ X4) @ (in @ X1 @ X2 @ X4))))))))))))))))),
0.22/0.45	  inference(rectify,[],[f11])).
0.22/0.45	thf(f11,axiom,(
0.22/0.45	  (mlocal @ (mbox @ (mforall_di @ (^[X6 : $i] : (mforall_di @ (^[X7 : $i] : (mforall_di @ (^[X3 : $i] : (mimplies @ (mand @ (string @ X7) @ (entry_box @ X3)) @ (mexists_di @ (^[X1 : $i] : (mbox @ (mforall_di @ (^[X8 : $i] : (mimplies @ (do @ X6 @ X1 @ X8) @ (in @ X7 @ X3 @ X8))))))))))))))))),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',ax3)).
0.22/0.45	thf(f332,plain,(
0.22/0.45	  ( ! [X0 : mworld] : (((mrel @ X0 @ (sK2 @ (sK9 @ mactual) @ sK8)) != $true) | ($true != (mrel @ mactual @ X0))) ) | ~spl0_3),
0.22/0.45	  inference(trivial_inequality_removal,[],[f329])).
0.22/0.45	thf(f329,plain,(
0.22/0.45	  ( ! [X0 : mworld] : (($true != (mrel @ mactual @ X0)) | ($true = $false) | ((mrel @ X0 @ (sK2 @ (sK9 @ mactual) @ sK8)) != $true)) ) | ~spl0_3),
0.22/0.45	  inference(superposition,[],[f253,f56])).
0.22/0.45	thf(f56,plain,(
0.22/0.45	  ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : (($true = (mrel @ X2 @ X0)) | ($true != (mrel @ X1 @ X0)) | ($true != (mrel @ X2 @ X1))) )),
0.22/0.45	  inference(cnf_transformation,[],[f52])).
0.22/0.45	thf(f52,plain,(
0.22/0.45	  ! [X0 : mworld,X1 : mworld,X2 : mworld] : (($true != (mrel @ X1 @ X0)) | ($true = (mrel @ X2 @ X0)) | ($true != (mrel @ X2 @ X1)))),
0.22/0.45	  inference(flattening,[],[f51])).
0.22/0.45	thf(f51,plain,(
0.22/0.45	  ! [X0 : mworld,X1 : mworld,X2 : mworld] : (($true = (mrel @ X2 @ X0)) | (($true != (mrel @ X2 @ X1)) | ($true != (mrel @ X1 @ X0))))),
0.22/0.45	  inference(ennf_transformation,[],[f49])).
0.22/0.45	thf(f49,plain,(
0.22/0.45	  ! [X0 : mworld,X1 : mworld,X2 : mworld] : ((($true = (mrel @ X2 @ X1)) & ($true = (mrel @ X1 @ X0))) => ($true = (mrel @ X2 @ X0)))),
0.22/0.45	  inference(fool_elimination,[],[f48])).
0.22/0.45	thf(f48,plain,(
0.22/0.45	  ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X1 @ X0) & (mrel @ X2 @ X1)) => (mrel @ X2 @ X0))),
0.22/0.45	  inference(rectify,[],[f12])).
0.22/0.45	thf(f12,axiom,(
0.22/0.45	  ! [X9 : mworld,X4 : mworld,X2 : mworld] : (((mrel @ X4 @ X9) & (mrel @ X2 @ X4)) => (mrel @ X2 @ X9))),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',mrel_transitive)).
0.22/0.45	thf(f253,plain,(
0.22/0.45	  ((mrel @ mactual @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false) | ~spl0_3),
0.22/0.45	  inference(avatar_component_clause,[],[f251])).
0.22/0.45	thf(f251,plain,(
0.22/0.45	  spl0_3 <=> ((mrel @ mactual @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false)),
0.22/0.45	  introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
0.22/0.45	thf(f158,plain,(
0.22/0.45	  ($true = (entry_box @ sK8 @ sK1))),
0.22/0.45	  inference(trivial_inequality_removal,[],[f151])).
0.22/0.45	thf(f151,plain,(
0.22/0.45	  ($true = $false) | ($true = (entry_box @ sK8 @ sK1))),
0.22/0.45	  inference(superposition,[],[f74,f135])).
0.22/0.45	thf(f135,plain,(
0.22/0.45	  ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((entry_box @ sK8 @ X1) = $true)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f134])).
0.22/0.45	thf(f134,plain,(
0.22/0.45	  ( ! [X1 : mworld] : ((((number @ sK8 @ one @ X1) & (entry_box @ sK8 @ X1)) = $true) | ((mrel @ mactual @ X1) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f133])).
0.22/0.45	thf(f133,plain,(
0.22/0.45	  ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => ((number @ sK8 @ one @ X1) & (entry_box @ sK8 @ X1))) = $true)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f132])).
0.22/0.45	thf(f132,plain,(
0.22/0.45	  ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((number @ sK8 @ one @ Y0) & (entry_box @ sK8 @ Y0)))) @ X1) = $true)) )),
0.22/0.45	  inference(pi_clausification,[],[f131])).
0.22/0.45	thf(f131,plain,(
0.22/0.45	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((number @ sK8 @ one @ Y0) & (entry_box @ sK8 @ Y0))))) = $true)),
0.22/0.45	  inference(beta_eta_normalization,[],[f130])).
0.22/0.45	thf(f130,plain,(
0.22/0.45	  (((^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((number @ Y0 @ one @ Y1) & (entry_box @ Y0 @ Y1)))))) @ sK8) = $true)),
0.22/0.45	  inference(sigma_clausification,[],[f129])).
0.22/0.45	thf(f129,plain,(
0.22/0.45	  ($true = (?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((number @ Y0 @ one @ Y1) & (entry_box @ Y0 @ Y1))))))))),
0.22/0.45	  inference(beta_eta_normalization,[],[f69])).
0.22/0.45	thf(f69,plain,(
0.22/0.45	  (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y2 @ Y3) & (Y1 @ Y3))))))) @ (entry_box @ Y0) @ (number @ Y0 @ one)))))) = $true)),
0.22/0.45	  inference(definition_unfolding,[],[f65,f59,f62,f64,f55])).
0.22/0.45	thf(f65,plain,(
0.22/0.45	  ($true = (mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one)))))))),
0.22/0.45	  inference(cnf_transformation,[],[f43])).
0.22/0.45	thf(f43,plain,(
0.22/0.45	  ($true = (mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one)))))))),
0.22/0.45	  inference(fool_elimination,[],[f42])).
0.22/0.45	thf(f42,plain,(
0.22/0.45	  (mlocal @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (entry_box @ X0) @ (number @ X0 @ one))))))),
0.22/0.45	  inference(rectify,[],[f15])).
0.22/0.45	thf(f15,axiom,(
0.22/0.45	  (mlocal @ (mexists_di @ (^[X3 : $i] : (mbox @ (mand @ (entry_box @ X3) @ (number @ X3 @ one))))))),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',ax2)).
0.22/0.45	thf(f304,plain,(
0.22/0.45	  ~spl0_1),
0.22/0.45	  inference(avatar_contradiction_clause,[],[f303])).
0.22/0.45	thf(f303,plain,(
0.22/0.45	  $false | ~spl0_1),
0.22/0.45	  inference(trivial_inequality_removal,[],[f302])).
0.22/0.45	thf(f302,plain,(
0.22/0.45	  ($true = $false) | ~spl0_1),
0.22/0.45	  inference(backward_demodulation,[],[f74,f301])).
0.22/0.45	thf(f301,plain,(
0.22/0.45	  ((mrel @ mactual @ sK1) = $false) | ~spl0_1),
0.22/0.45	  inference(trivial_inequality_removal,[],[f300])).
0.22/0.45	thf(f300,plain,(
0.22/0.45	  ($true = $false) | ((mrel @ mactual @ sK1) = $false) | ~spl0_1),
0.22/0.45	  inference(forward_demodulation,[],[f299,f54])).
0.22/0.45	thf(f54,plain,(
0.22/0.45	  ( ! [X0 : mworld] : (((mrel @ X0 @ X0) = $true)) )),
0.22/0.45	  inference(cnf_transformation,[],[f24])).
0.22/0.45	thf(f24,plain,(
0.22/0.45	  ! [X0 : mworld] : ((mrel @ X0 @ X0) = $true)),
0.22/0.45	  inference(fool_elimination,[],[f23])).
0.22/0.45	thf(f23,plain,(
0.22/0.45	  ! [X0 : mworld] : (mrel @ X0 @ X0)),
0.22/0.45	  inference(rectify,[],[f14])).
0.22/0.45	thf(f14,axiom,(
0.22/0.45	  ! [X2 : mworld] : (mrel @ X2 @ X2)),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',mrel_reflexive)).
0.22/0.45	thf(f299,plain,(
0.22/0.45	  ((mrel @ mactual @ sK1) = $false) | ((mrel @ mactual @ mactual) = $false) | ~spl0_1),
0.22/0.45	  inference(trivial_inequality_removal,[],[f296])).
0.22/0.45	thf(f296,plain,(
0.22/0.45	  ((mrel @ mactual @ mactual) = $false) | ((mrel @ mactual @ sK1) = $false) | ($true = $false) | ~spl0_1),
0.22/0.45	  inference(superposition,[],[f245,f147])).
0.22/0.45	thf(f147,plain,(
0.22/0.45	  ( ! [X2 : mworld,X1 : mworld] : (($true = (string @ (sK9 @ X1) @ X2)) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X2) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f145])).
0.22/0.45	thf(f145,plain,(
0.22/0.45	  ( ! [X2 : mworld,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ X2) = $false) | ($true = ((string @ (sK9 @ X1) @ X2) & (userid @ u @ (sK9 @ X1) @ X2)))) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f144])).
0.22/0.45	thf(f144,plain,(
0.22/0.45	  ( ! [X2 : mworld,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = ((mrel @ X1 @ X2) => ((string @ (sK9 @ X1) @ X2) & (userid @ u @ (sK9 @ X1) @ X2))))) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f143])).
0.22/0.45	thf(f143,plain,(
0.22/0.45	  ( ! [X2 : mworld,X1 : mworld] : (((mrel @ mactual @ X1) = $false) | (((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((string @ (sK9 @ X1) @ Y0) & (userid @ u @ (sK9 @ X1) @ Y0)))) @ X2) = $true)) )),
0.22/0.45	  inference(pi_clausification,[],[f142])).
0.22/0.45	thf(f142,plain,(
0.22/0.45	  ( ! [X1 : mworld] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((string @ (sK9 @ X1) @ Y0) & (userid @ u @ (sK9 @ X1) @ Y0))))) = $true) | ((mrel @ mactual @ X1) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f141])).
0.22/0.45	thf(f141,plain,(
0.22/0.45	  ( ! [X1 : mworld] : ((((^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((string @ Y0 @ Y1) & (userid @ u @ Y0 @ Y1)))))) @ (sK9 @ X1)) = $true) | ((mrel @ mactual @ X1) = $false)) )),
0.22/0.45	  inference(sigma_clausification,[],[f140])).
0.22/0.45	thf(f140,plain,(
0.22/0.45	  ( ! [X1 : mworld] : (((mrel @ mactual @ X1) = $false) | ($true = (?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((string @ Y0 @ Y1) & (userid @ u @ Y0 @ Y1))))))))) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f139])).
0.22/0.45	thf(f139,plain,(
0.22/0.45	  ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => (?? @ $i @ (^[Y0 : $i]: (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((string @ Y0 @ Y1) & (userid @ u @ Y0 @ Y1)))))))) = $true)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f138])).
0.22/0.45	thf(f138,plain,(
0.22/0.45	  ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((string @ Y1 @ Y2) & (userid @ u @ Y1 @ Y2))))))))) @ X1) = $true)) )),
0.22/0.45	  inference(pi_clausification,[],[f137])).
0.22/0.45	thf(f137,plain,(
0.22/0.45	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((string @ Y1 @ Y2) & (userid @ u @ Y1 @ Y2)))))))))) = $true)),
0.22/0.45	  inference(beta_eta_normalization,[],[f68])).
0.22/0.45	thf(f68,plain,(
0.22/0.45	  (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y2 @ Y3) & (Y1 @ Y3))))))) @ (userid @ u @ Y0) @ (string @ Y0))))))) = $true)),
0.22/0.45	  inference(definition_unfolding,[],[f61,f59,f64,f62,f64,f55])).
0.22/0.45	thf(f61,plain,(
0.22/0.45	  ($true = (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0))))))))),
0.22/0.45	  inference(cnf_transformation,[],[f45])).
0.22/0.45	thf(f45,plain,(
0.22/0.45	  ($true = (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0))))))))),
0.22/0.45	  inference(fool_elimination,[],[f44])).
0.22/0.45	thf(f44,plain,(
0.22/0.45	  (mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (userid @ u @ X0) @ (string @ X0)))))))),
0.22/0.45	  inference(rectify,[],[f13])).
0.22/0.45	thf(f13,axiom,(
0.22/0.45	  (mlocal @ (mbox @ (mexists_di @ (^[X7 : $i] : (mbox @ (mand @ (userid @ u @ X7) @ (string @ X7)))))))),
0.22/0.45	  file('/export/starexec/sandbox2/tmp/tmp.icLXLuQR3s/Vampire---4.8_25410',ax1)).
0.22/0.45	thf(f245,plain,(
0.22/0.45	  ((string @ (sK9 @ mactual) @ sK1) = $false) | ~spl0_1),
0.22/0.45	  inference(avatar_component_clause,[],[f243])).
0.22/0.45	thf(f285,plain,(
0.22/0.45	  spl0_1 | ~spl0_2),
0.22/0.45	  inference(avatar_split_clause,[],[f284,f247,f243])).
0.22/0.45	thf(f247,plain,(
0.22/0.45	  spl0_2 <=> ((entry_box @ sK8 @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false)),
0.22/0.45	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.22/0.45	thf(f284,plain,(
0.22/0.45	  ((string @ (sK9 @ mactual) @ sK1) = $false) | ~spl0_2),
0.22/0.45	  inference(trivial_inequality_removal,[],[f283])).
0.22/0.45	thf(f283,plain,(
0.22/0.45	  ($true = $false) | ((string @ (sK9 @ mactual) @ sK1) = $false) | ~spl0_2),
0.22/0.45	  inference(forward_demodulation,[],[f282,f158])).
0.22/0.45	thf(f282,plain,(
0.22/0.45	  ($false = (entry_box @ sK8 @ sK1)) | ((string @ (sK9 @ mactual) @ sK1) = $false) | ~spl0_2),
0.22/0.45	  inference(subsumption_resolution,[],[f279,f74])).
0.22/0.45	thf(f279,plain,(
0.22/0.45	  ($false = (entry_box @ sK8 @ sK1)) | ($true != (mrel @ mactual @ sK1)) | ((string @ (sK9 @ mactual) @ sK1) = $false) | ~spl0_2),
0.22/0.45	  inference(trivial_inequality_removal,[],[f276])).
0.22/0.45	thf(f276,plain,(
0.22/0.45	  ($true != $true) | ($false = (entry_box @ sK8 @ sK1)) | ($true != (mrel @ mactual @ sK1)) | ((string @ (sK9 @ mactual) @ sK1) = $false) | ~spl0_2),
0.22/0.45	  inference(superposition,[],[f266,f191])).
0.22/0.45	thf(f266,plain,(
0.22/0.45	  ( ! [X0 : mworld] : (((mrel @ X0 @ (sK2 @ (sK9 @ mactual) @ sK8)) != $true) | ($true != (mrel @ mactual @ X0))) ) | ~spl0_2),
0.22/0.45	  inference(trivial_inequality_removal,[],[f263])).
0.22/0.45	thf(f263,plain,(
0.22/0.45	  ( ! [X0 : mworld] : (($true != (mrel @ mactual @ X0)) | ($true = $false) | ((mrel @ X0 @ (sK2 @ (sK9 @ mactual) @ sK8)) != $true)) ) | ~spl0_2),
0.22/0.45	  inference(superposition,[],[f249,f159])).
0.22/0.45	thf(f159,plain,(
0.22/0.45	  ( ! [X0 : mworld,X1 : mworld] : (($true = (entry_box @ sK8 @ X0)) | ($true != (mrel @ mactual @ X1)) | ($true != (mrel @ X1 @ X0))) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f150])).
0.22/0.45	thf(f150,plain,(
0.22/0.45	  ( ! [X0 : mworld,X1 : mworld] : (($true = (entry_box @ sK8 @ X0)) | ($true = $false) | ($true != (mrel @ X1 @ X0)) | ($true != (mrel @ mactual @ X1))) )),
0.22/0.45	  inference(superposition,[],[f135,f56])).
0.22/0.45	thf(f249,plain,(
0.22/0.45	  ((entry_box @ sK8 @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false) | ~spl0_2),
0.22/0.45	  inference(avatar_component_clause,[],[f247])).
0.22/0.45	thf(f254,plain,(
0.22/0.45	  spl0_1 | spl0_2 | spl0_3),
0.22/0.45	  inference(avatar_split_clause,[],[f241,f251,f247,f243])).
0.22/0.45	thf(f241,plain,(
0.22/0.45	  ((string @ (sK9 @ mactual) @ sK1) = $false) | ((mrel @ mactual @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false) | ((entry_box @ sK8 @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false)),
0.22/0.45	  inference(trivial_inequality_removal,[],[f240])).
0.22/0.45	thf(f240,plain,(
0.22/0.45	  ((entry_box @ sK8 @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false) | ($true = $false) | ((string @ (sK9 @ mactual) @ sK1) = $false) | ((mrel @ mactual @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false)),
0.22/0.45	  inference(forward_demodulation,[],[f239,f54])).
0.22/0.45	thf(f239,plain,(
0.22/0.45	  ((mrel @ mactual @ mactual) = $false) | ((entry_box @ sK8 @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false) | ((mrel @ mactual @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false) | ((string @ (sK9 @ mactual) @ sK1) = $false)),
0.22/0.45	  inference(trivial_inequality_removal,[],[f236])).
0.22/0.45	thf(f236,plain,(
0.22/0.45	  ((mrel @ mactual @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false) | ((mrel @ mactual @ mactual) = $false) | ($false != $false) | ((entry_box @ sK8 @ (sK2 @ (sK9 @ mactual) @ sK8)) = $false) | ((string @ (sK9 @ mactual) @ sK1) = $false)),
0.22/0.45	  inference(equality_factoring,[],[f213])).
0.22/0.45	thf(f213,plain,(
0.22/0.45	  ( ! [X0 : mworld] : (((mrel @ mactual @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ((entry_box @ sK8 @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ((mrel @ mactual @ X0) = $false) | ((string @ (sK9 @ X0) @ sK1) = $false) | ((mrel @ X0 @ (sK2 @ (sK9 @ X0) @ sK8)) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f212])).
0.22/0.45	thf(f212,plain,(
0.22/0.45	  ( ! [X0 : mworld] : (((mrel @ mactual @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ((mrel @ mactual @ X0) = $false) | ((entry_box @ sK8 @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ((string @ (sK9 @ X0) @ sK1) = $false) | ((mrel @ X0 @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ($true = $false)) )),
0.22/0.45	  inference(forward_demodulation,[],[f211,f158])).
0.22/0.45	thf(f211,plain,(
0.22/0.45	  ( ! [X0 : mworld] : (((mrel @ X0 @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ((mrel @ mactual @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ((entry_box @ sK8 @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ((mrel @ mactual @ X0) = $false) | ($false = (entry_box @ sK8 @ sK1)) | ((string @ (sK9 @ X0) @ sK1) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f208])).
0.22/0.45	thf(f208,plain,(
0.22/0.45	  ( ! [X0 : mworld] : (((mrel @ mactual @ X0) = $false) | ((mrel @ mactual @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ($false = (entry_box @ sK8 @ sK1)) | ((mrel @ X0 @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ((entry_box @ sK8 @ (sK2 @ (sK9 @ X0) @ sK8)) = $false) | ($true = $false) | ((string @ (sK9 @ X0) @ sK1) = $false)) )),
0.22/0.45	  inference(superposition,[],[f207,f136])).
0.22/0.45	thf(f136,plain,(
0.22/0.45	  ( ! [X1 : mworld] : (($true = (number @ sK8 @ one @ X1)) | ((mrel @ mactual @ X1) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f134])).
0.22/0.45	thf(f207,plain,(
0.22/0.45	  ( ! [X0 : mworld,X1 : $i] : (((number @ X1 @ one @ (sK2 @ (sK9 @ X0) @ X1)) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((mrel @ X0 @ (sK2 @ (sK9 @ X0) @ X1)) = $false) | ((string @ (sK9 @ X0) @ sK1) = $false) | ((entry_box @ X1 @ (sK2 @ (sK9 @ X0) @ X1)) = $false) | ((mrel @ mactual @ X0) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f204])).
0.22/0.45	thf(f204,plain,(
0.22/0.45	  ( ! [X0 : mworld,X1 : $i] : (((entry_box @ X1 @ sK1) = $false) | ($true = $false) | ((mrel @ X0 @ (sK2 @ (sK9 @ X0) @ X1)) = $false) | ((mrel @ mactual @ X0) = $false) | ((string @ (sK9 @ X0) @ sK1) = $false) | ((entry_box @ X1 @ (sK2 @ (sK9 @ X0) @ X1)) = $false) | ((number @ X1 @ one @ (sK2 @ (sK9 @ X0) @ X1)) = $false)) )),
0.22/0.45	  inference(superposition,[],[f203,f146])).
0.22/0.45	thf(f146,plain,(
0.22/0.45	  ( ! [X2 : mworld,X1 : mworld] : (($true = (userid @ u @ (sK9 @ X1) @ X2)) | ((mrel @ X1 @ X2) = $false) | ((mrel @ mactual @ X1) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f145])).
0.22/0.45	thf(f203,plain,(
0.22/0.45	  ( ! [X0 : $i,X1 : $i] : (((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((string @ X0 @ sK1) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f202])).
0.22/0.45	thf(f202,plain,(
0.22/0.45	  ( ! [X0 : $i,X1 : $i] : (((entry_box @ X1 @ sK1) = $false) | ($true = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ sK1) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false)) )),
0.22/0.45	  inference(forward_demodulation,[],[f200,f74])).
0.22/0.45	thf(f200,plain,(
0.22/0.45	  ( ! [X0 : $i,X1 : $i] : (((mrel @ mactual @ sK1) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ sK1) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f199])).
0.22/0.45	thf(f199,plain,(
0.22/0.45	  ( ! [X0 : $i,X1 : $i] : (((entry_box @ X1 @ sK1) = $false) | ((mrel @ mactual @ sK1) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ($true = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ sK1) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false)) )),
0.22/0.45	  inference(duplicate_literal_removal,[],[f193])).
0.22/0.45	thf(f193,plain,(
0.22/0.45	  ( ! [X0 : $i,X1 : $i] : (((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ sK1) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ sK1) = $false) | ((mrel @ mactual @ sK1) = $false) | ($true = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false)) )),
0.22/0.45	  inference(superposition,[],[f179,f101])).
0.22/0.45	thf(f101,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $true) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | ((number @ X2 @ one @ (sK2 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ (sK2 @ X1 @ X2)) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f100])).
0.22/0.45	thf(f100,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) = $false) | ((mrel @ sK1 @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $true) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f99])).
0.22/0.45	thf(f99,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK1 @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $true) | ($false = (((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) & (userid @ u @ X1 @ (sK2 @ X1 @ X2))))) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f97])).
0.22/0.45	thf(f97,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((mrel @ sK1 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)))))) = $false) | ($false = (((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) & (userid @ u @ X1 @ (sK2 @ X1 @ X2))))) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f96])).
0.22/0.45	thf(f96,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))) @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $false) | ($false = (((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) & (userid @ u @ X1 @ (sK2 @ X1 @ X2))))) )),
0.22/0.45	  inference(sigma_clausification,[],[f86])).
0.22/0.45	thf(f86,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) = $false) | ($false = (((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) & (userid @ u @ X1 @ (sK2 @ X1 @ X2))))) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f85])).
0.22/0.45	thf(f179,plain,(
0.22/0.45	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK5 @ X0 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ X2) = $false) | ((entry_box @ X1 @ X2) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f178])).
0.22/0.45	thf(f178,plain,(
0.22/0.45	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((string @ X0 @ X2) = $false) | ((entry_box @ X1 @ X2) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((mrel @ X2 @ (sK5 @ X0 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false)) )),
0.22/0.45	  inference(duplicate_literal_removal,[],[f174])).
0.22/0.45	thf(f174,plain,(
0.22/0.45	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ X2) = $false) | ($true = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((userid @ u @ X0 @ (sK2 @ X0 @ X1)) = $false) | ((entry_box @ X1 @ (sK2 @ X0 @ X1)) = $false) | ((mrel @ mactual @ X2) = $false) | ((mrel @ X2 @ (sK5 @ X0 @ (sK7 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1)) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((number @ X1 @ one @ (sK2 @ X0 @ X1)) = $false) | ((string @ X0 @ X2) = $false)) )),
0.22/0.45	  inference(superposition,[],[f167,f108])).
0.22/0.45	thf(f108,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ X2 @ (sK6 @ X1 @ X3 @ X4 @ X2) @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $false) | ((number @ X2 @ one @ (sK2 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ (sK2 @ X1 @ X2)) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f105])).
0.22/0.45	thf(f105,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((in @ X1 @ X2 @ (sK6 @ X1 @ X3 @ X4 @ X2) @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | (((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f104])).
0.22/0.45	thf(f104,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((do @ X4 @ X3 @ (sK6 @ X1 @ X3 @ X4 @ X2) @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK6 @ X1 @ X3 @ X4 @ X2) @ (sK5 @ X1 @ X3 @ X4 @ X2))) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | (((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) = $false)) )),
0.22/0.45	  inference(beta_eta_normalization,[],[f103])).
0.22/0.45	thf(f103,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | (((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) = $false) | (((^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)))) @ (sK6 @ X1 @ X3 @ X4 @ X2)) = $false)) )),
0.22/0.45	  inference(sigma_clausification,[],[f102])).
0.22/0.45	thf(f102,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2))))) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | (((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f98])).
0.22/0.45	thf(f98,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) & (userid @ u @ X1 @ (sK2 @ X1 @ X2)))) | ((!! @ $i @ (^[Y0 : $i]: ((do @ X4 @ X3 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK5 @ X1 @ X3 @ X4 @ X2))))) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f97])).
0.22/0.45	thf(f167,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((in @ X2 @ X3 @ (sK6 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5) @ (sK5 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5)) = $true) | ((entry_box @ X3 @ X1) = $false) | ((entry_box @ X5 @ (sK2 @ X4 @ X5)) = $false) | ((userid @ u @ X4 @ (sK2 @ X4 @ X5)) = $false) | ((string @ X2 @ X1) = $false) | ((mrel @ mactual @ X1) = $false) | ((mrel @ X1 @ (sK5 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5)) = $false) | ((number @ X5 @ one @ (sK2 @ X4 @ X5)) = $false)) )),
0.22/0.45	  inference(trivial_inequality_removal,[],[f165])).
0.22/0.45	thf(f165,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((entry_box @ X5 @ (sK2 @ X4 @ X5)) = $false) | ((string @ X2 @ X1) = $false) | ((in @ X2 @ X3 @ (sK6 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5) @ (sK5 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5)) = $true) | ((entry_box @ X3 @ X1) = $false) | ((userid @ u @ X4 @ (sK2 @ X4 @ X5)) = $false) | ($true = $false) | ((mrel @ X1 @ (sK5 @ X4 @ (sK7 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5)) = $false) | ((mrel @ mactual @ X1) = $false) | ((number @ X5 @ one @ (sK2 @ X4 @ X5)) = $false)) )),
0.22/0.45	  inference(superposition,[],[f128,f107])).
0.22/0.45	thf(f107,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((do @ X4 @ X3 @ (sK6 @ X1 @ X3 @ X4 @ X2) @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $true) | ((number @ X2 @ one @ (sK2 @ X1 @ X2)) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | ((entry_box @ X2 @ (sK2 @ X1 @ X2)) = $false)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f106])).
0.22/0.45	thf(f106,plain,(
0.22/0.45	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((number @ X2 @ one @ (sK2 @ X1 @ X2)) & (entry_box @ X2 @ (sK2 @ X1 @ X2))) = $false) | ((userid @ u @ X1 @ (sK2 @ X1 @ X2)) = $false) | ((do @ X4 @ X3 @ (sK6 @ X1 @ X3 @ X4 @ X2) @ (sK5 @ X1 @ X3 @ X4 @ X2)) = $true)) )),
0.22/0.45	  inference(binary_proxy_clausification,[],[f104])).
0.22/0.45	% SZS output end Proof for Vampire---4
0.22/0.45	% (25600)------------------------------
0.22/0.45	% (25600)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.45	% (25600)Termination reason: Refutation
0.22/0.45	
0.22/0.45	% (25600)Memory used [KB]: 6140
0.22/0.45	% (25600)Time elapsed: 0.068 s
0.22/0.45	% (25600)Instructions burned: 86 (million)
0.22/0.45	% (25600)------------------------------
0.22/0.45	% (25600)------------------------------
0.22/0.45	% (25596)Success in time 0.077 s
0.22/0.45	% Vampire---4.8 exiting
0.22/0.45	EOF