0.11/0.13	% Problem    : Vampire---4.8_9933 : TPTP v0.0.0. Released v0.0.0.
0.11/0.15	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.15/0.36	% Computer : n019.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 12:48:05 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/sandbox/tmp/tmp.WJ4wn6Pdxk/Vampire---4.8_9933 -m 12000  -t 180
0.15/0.38	% (10185)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)
0.15/0.38	% (10183)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1800ds/96Mi)
0.15/0.38	% (10186)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)
0.15/0.38	% (10187)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1800ds/17Mi)
0.15/0.38	% (10184)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1800ds/36Mi)
0.15/0.38	% (10188)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)
0.15/0.38	% (10189)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)
0.15/0.38	% (10190)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)
0.15/0.39	% (10189)Instruction limit reached!
0.15/0.39	% (10189)------------------------------
0.15/0.39	% (10189)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (10189)Termination reason: Unknown
0.15/0.39	% (10189)Termination phase: Saturation
0.15/0.39	
0.15/0.39	% (10189)Memory used [KB]: 5500
0.15/0.39	% (10189)Time elapsed: 0.005 s
0.15/0.39	% (10189)Instructions burned: 4 (million)
0.15/0.39	% (10189)------------------------------
0.15/0.39	% (10189)------------------------------
0.15/0.40	% (10187)Instruction limit reached!
0.15/0.40	% (10187)------------------------------
0.15/0.40	% (10187)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.40	% (10187)Termination reason: Unknown
0.15/0.40	% (10187)Termination phase: Saturation
0.15/0.40	
0.15/0.40	% (10187)Memory used [KB]: 5628
0.15/0.40	% (10187)Time elapsed: 0.014 s
0.15/0.40	% (10184)Refutation not found, incomplete strategy
0.15/0.40	% (10184)------------------------------
0.15/0.40	% (10184)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.40	% (10184)Termination reason: Refutation not found, incomplete strategy
0.15/0.40	
0.15/0.40	
0.15/0.40	% (10184)Memory used [KB]: 5628
0.15/0.40	% (10184)Time elapsed: 0.013 s
0.15/0.40	% (10184)Instructions burned: 19 (million)
0.15/0.40	% (10184)------------------------------
0.15/0.40	% (10184)------------------------------
0.15/0.40	% (10187)Instructions burned: 18 (million)
0.15/0.40	% (10187)------------------------------
0.15/0.40	% (10187)------------------------------
0.15/0.40	% (10186)First to succeed.
0.15/0.40	% (10190)Also succeeded, but the first one will report.
0.15/0.40	% (10191)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)
0.15/0.40	% (10186)Refutation found. Thanks to Tanya!
0.15/0.40	% SZS status Theorem for Vampire---4
0.15/0.40	% SZS output start Proof for Vampire---4
0.15/0.40	thf(func_def_3, type, sK0: (($i > $o) > ($i > $o) > $o) > $i > $o).
0.15/0.40	thf(func_def_4, type, sK1: (($i > $o) > ($i > $o) > $o) > $i > $o).
0.15/0.40	thf(func_def_5, type, sK2: (($i > $o) > ($i > $o) > $o) > $i > $o).
0.15/0.40	thf(func_def_6, type, sK3: (($i > $o) > ($i > $o) > $o) > $i > $o).
0.15/0.40	thf(func_def_9, type, ph5: !>[X0: $tType]:(X0)).
0.15/0.40	thf(f213,plain,(
0.15/0.40	  $false),
0.15/0.40	  inference(avatar_sat_refutation,[],[f58,f207,f208,f210,f212])).
0.15/0.40	thf(f212,plain,(
0.15/0.40	  ~spl4_1),
0.15/0.40	  inference(avatar_contradiction_clause,[],[f211])).
0.15/0.40	thf(f211,plain,(
0.15/0.40	  $false | ~spl4_1),
0.15/0.40	  inference(flex-flex_simplify,[],[f50])).
0.15/0.40	thf(f50,plain,(
0.15/0.40	  ( ! [X4 : $i > $o,X5 : $i > $o] : ((X4 != X5)) ) | ~spl4_1),
0.15/0.40	  inference(avatar_component_clause,[],[f49])).
0.15/0.40	thf(f49,plain,(
0.15/0.40	  spl4_1 <=> ! [X4 : $i > $o,X5 : $i > $o] : (X4 != X5)),
0.15/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
0.15/0.40	thf(f210,plain,(
0.15/0.40	  spl4_4 | ~spl4_2),
0.15/0.40	  inference(avatar_split_clause,[],[f209,f52,f112])).
0.15/0.40	thf(f112,plain,(
0.15/0.40	  spl4_4 <=> ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))),
0.15/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
0.15/0.40	thf(f52,plain,(
0.15/0.40	  spl4_2 <=> ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))),
0.15/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
0.15/0.40	thf(f209,plain,(
0.15/0.40	  ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl4_2),
0.15/0.40	  inference(forward_demodulation,[],[f193,f54])).
0.15/0.40	thf(f54,plain,(
0.15/0.40	  ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl4_2),
0.15/0.40	  inference(avatar_component_clause,[],[f52])).
0.15/0.40	thf(f193,plain,(
0.15/0.40	  ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))),
0.15/0.40	  inference(equality_proxy_clausification,[],[f192])).
0.15/0.40	thf(f192,plain,(
0.15/0.40	  ($true = ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))),
0.15/0.40	  inference(trivial_inequality_removal,[],[f191])).
0.15/0.40	thf(f191,plain,(
0.15/0.40	  ($true = ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true != $true)),
0.15/0.40	  inference(boolean_simplification,[],[f190])).
0.15/0.40	thf(f190,plain,(
0.15/0.40	  ($true = ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true != ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))),
0.15/0.40	  inference(beta_eta_normalization,[],[f173])).
0.15/0.40	thf(f173,plain,(
0.15/0.40	  ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))))),
0.15/0.40	  inference(primitive_instantiation,[],[f109])).
0.15/0.40	thf(f109,plain,(
0.15/0.40	  ( ! [X0 : ($i > $o) > ($i > $o) > $o] : (($true = (X0 @ (sK2 @ X0) @ (sK1 @ X0))) | ($true != (X0 @ (sK3 @ X0) @ (sK3 @ X0)))) )),
0.15/0.40	  inference(subsumption_resolution,[],[f92,f14])).
0.15/0.40	thf(f14,plain,(
0.15/0.40	  ( ! [X0 : ($i > $o) > ($i > $o) > $o,X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true = (X0 @ (sK2 @ X0) @ (sK1 @ X0))) | ((X0 @ X4 @ X5) != $true) | ($true = (X0 @ X8 @ X7)) | ($true != (X0 @ (sK3 @ X0) @ (sK3 @ X0)))) )),
0.15/0.40	  inference(cnf_transformation,[],[f12])).
0.15/0.40	thf(f12,plain,(
0.15/0.40	  ! [X0 : ($i > $o) > ($i > $o) > $o] : ((($true != (X0 @ (sK2 @ X0) @ (sK0 @ X0))) & ($true = (X0 @ (sK2 @ X0) @ (sK1 @ X0))) & ($true = (X0 @ (sK1 @ X0) @ (sK0 @ X0)))) | ! [X4 : $i > $o,X5 : $i > $o] : ((X0 @ X4 @ X5) != $true) | ($true != (X0 @ (sK3 @ X0) @ (sK3 @ X0))) | ! [X7 : $i > $o,X8 : $i > $o] : ($true = (X0 @ X8 @ X7)))),
0.15/0.40	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f11,f10])).
0.15/0.40	thf(f10,plain,(
0.15/0.40	  ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o,X3 : $i > $o] : (((X0 @ X3 @ X1) != $true) & ($true = (X0 @ X3 @ X2)) & ($true = (X0 @ X2 @ X1))) => (($true != (X0 @ (sK2 @ X0) @ (sK0 @ X0))) & ($true = (X0 @ (sK2 @ X0) @ (sK1 @ X0))) & ($true = (X0 @ (sK1 @ X0) @ (sK0 @ X0)))))),
0.15/0.40	  introduced(choice_axiom,[])).
0.15/0.40	thf(f11,plain,(
0.15/0.40	  ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X6 : $i > $o] : ($true != (X0 @ X6 @ X6)) => ($true != (X0 @ (sK3 @ X0) @ (sK3 @ X0))))),
0.15/0.40	  introduced(choice_axiom,[])).
0.15/0.40	thf(f9,plain,(
0.15/0.40	  ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o,X3 : $i > $o] : (((X0 @ X3 @ X1) != $true) & ($true = (X0 @ X3 @ X2)) & ($true = (X0 @ X2 @ X1))) | ! [X4 : $i > $o,X5 : $i > $o] : ((X0 @ X4 @ X5) != $true) | ? [X6 : $i > $o] : ($true != (X0 @ X6 @ X6)) | ! [X7 : $i > $o,X8 : $i > $o] : ($true = (X0 @ X8 @ X7)))),
0.15/0.40	  inference(rectify,[],[f8])).
0.15/0.40	thf(f8,plain,(
0.15/0.40	  ! [X0 : ($i > $o) > ($i > $o) > $o] : (? [X4 : $i > $o,X3 : $i > $o,X5 : $i > $o] : (((X0 @ X5 @ X4) != $true) & ((X0 @ X5 @ X3) = $true) & ((X0 @ X3 @ X4) = $true)) | ! [X7 : $i > $o,X6 : $i > $o] : ($true != (X0 @ X7 @ X6)) | ? [X8 : $i > $o] : ($true != (X0 @ X8 @ X8)) | ! [X2 : $i > $o,X1 : $i > $o] : ((X0 @ X1 @ X2) = $true))),
0.15/0.40	  inference(flattening,[],[f7])).
0.15/0.40	thf(f7,plain,(
0.15/0.40	  ! [X0 : ($i > $o) > ($i > $o) > $o] : (! [X2 : $i > $o,X1 : $i > $o] : ((X0 @ X1 @ X2) = $true) | ? [X8 : $i > $o] : ($true != (X0 @ X8 @ X8)) | ! [X7 : $i > $o,X6 : $i > $o] : ($true != (X0 @ X7 @ X6)) | ? [X3 : $i > $o,X5 : $i > $o,X4 : $i > $o] : (((X0 @ X5 @ X4) != $true) & (((X0 @ X5 @ X3) = $true) & ((X0 @ X3 @ X4) = $true))))),
0.15/0.40	  inference(ennf_transformation,[],[f6])).
0.15/0.40	thf(f6,plain,(
0.15/0.40	  ~? [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : ((X0 @ X1 @ X2) != $true) & ! [X8 : $i > $o] : ($true = (X0 @ X8 @ X8)) & ? [X7 : $i > $o,X6 : $i > $o] : ($true = (X0 @ X7 @ X6)) & ! [X3 : $i > $o,X5 : $i > $o,X4 : $i > $o] : ((((X0 @ X5 @ X3) = $true) & ((X0 @ X3 @ X4) = $true)) => ((X0 @ X5 @ X4) = $true)))),
0.15/0.40	  inference(flattening,[],[f5])).
0.15/0.40	thf(f5,plain,(
0.15/0.40	  ~? [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : ~((X0 @ X1 @ X2) = $true) & ! [X3 : $i > $o,X5 : $i > $o,X4 : $i > $o] : ((((X0 @ X5 @ X3) = $true) & ((X0 @ X3 @ X4) = $true)) => ((X0 @ X5 @ X4) = $true)) & ? [X7 : $i > $o,X6 : $i > $o] : ($true = (X0 @ X7 @ X6)) & ! [X8 : $i > $o] : ($true = (X0 @ X8 @ X8)))),
0.15/0.40	  inference(fool_elimination,[],[f4])).
0.15/0.40	thf(f4,plain,(
0.15/0.40	  ~? [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : ~(X0 @ X1 @ X2) & ! [X3 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (((X0 @ X5 @ X3) & (X0 @ X3 @ X4)) => (X0 @ X5 @ X4)) & ? [X6 : $i > $o,X7 : $i > $o] : (X0 @ X7 @ X6) & ! [X8 : $i > $o] : (X0 @ X8 @ X8))),
0.15/0.40	  inference(rectify,[],[f2])).
0.15/0.40	thf(f2,negated_conjecture,(
0.15/0.40	  ~? [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : ~(X0 @ X1 @ X2) & ! [X4 : $i > $o,X5 : $i > $o,X3 : $i > $o] : (((X0 @ X3 @ X4) & (X0 @ X4 @ X5)) => (X0 @ X3 @ X5)) & ? [X7 : $i > $o,X6 : $i > $o] : (X0 @ X6 @ X7) & ! [X3 : $i > $o] : (X0 @ X3 @ X3))),
0.15/0.40	  inference(negated_conjecture,[],[f1])).
0.15/0.40	thf(f1,conjecture,(
0.15/0.40	  ? [X0 : ($i > $o) > ($i > $o) > $o] : (? [X1 : $i > $o,X2 : $i > $o] : ~(X0 @ X1 @ X2) & ! [X4 : $i > $o,X5 : $i > $o,X3 : $i > $o] : (((X0 @ X3 @ X4) & (X0 @ X4 @ X5)) => (X0 @ X3 @ X5)) & ? [X7 : $i > $o,X6 : $i > $o] : (X0 @ X6 @ X7) & ! [X3 : $i > $o] : (X0 @ X3 @ X3))),
0.15/0.40	  file('/export/starexec/sandbox/tmp/tmp.WJ4wn6Pdxk/Vampire---4.8_9933',cTHM120_2_pme)).
0.15/0.40	thf(f92,plain,(
0.15/0.40	  ( ! [X2 : $i > $o,X0 : ($i > $o) > ($i > $o) > $o,X1 : $i > $o] : (($true != (X0 @ (sK3 @ X0) @ (sK3 @ X0))) | ((X0 @ X1 @ X2) != $true) | ($true = (X0 @ (sK2 @ X0) @ (sK1 @ X0)))) )),
0.15/0.40	  inference(trivial_inequality_removal,[],[f83])).
0.15/0.40	thf(f83,plain,(
0.15/0.40	  ( ! [X2 : $i > $o,X0 : ($i > $o) > ($i > $o) > $o,X1 : $i > $o] : (($true != $true) | ($true = (X0 @ (sK2 @ X0) @ (sK1 @ X0))) | ($true != (X0 @ (sK3 @ X0) @ (sK3 @ X0))) | ((X0 @ X1 @ X2) != $true)) )),
0.15/0.40	  inference(equality_factoring,[],[f14])).
0.15/0.40	thf(f208,plain,(
0.15/0.40	  spl4_3 | spl4_1 | ~spl4_4),
0.15/0.40	  inference(avatar_split_clause,[],[f143,f112,f49,f56])).
0.15/0.40	thf(f56,plain,(
0.15/0.40	  spl4_3 <=> ! [X8 : $i > $o,X7 : $i > $o] : (X7 = X8)),
0.15/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
0.15/0.40	thf(f143,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : ((X7 = X8) | ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | (X4 != X5)) )),
0.15/0.40	  inference(equality_proxy_clausification,[],[f142])).
0.15/0.40	thf(f142,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : ((X7 = X8) | ($true != (X5 = X4)) | ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) )),
0.15/0.40	  inference(equality_proxy_clausification,[],[f141])).
0.15/0.40	thf(f141,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true = (X7 = X8)) | ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) != (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ($true != (X5 = X4))) )),
0.15/0.40	  inference(equality_proxy_clausification,[],[f140])).
0.15/0.40	thf(f140,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : ((((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ($true = (X7 = X8)) | ($true != (X5 = X4))) )),
0.15/0.40	  inference(trivial_inequality_removal,[],[f139])).
0.15/0.40	thf(f139,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true != (X5 = X4)) | ($true != $true) | ($true = (X7 = X8)) | (((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true)) )),
0.15/0.40	  inference(boolean_simplification,[],[f138])).
0.15/0.40	thf(f138,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true != ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true = (X7 = X8)) | (((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) != $true) | ($true != (X5 = X4))) )),
0.15/0.40	  inference(beta_eta_normalization,[],[f131])).
0.15/0.40	thf(f131,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ X8 @ X7) = $true) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ X4 @ X5))) )),
0.15/0.40	  inference(primitive_instantiation,[],[f15])).
0.15/0.40	thf(f15,plain,(
0.15/0.40	  ( ! [X0 : ($i > $o) > ($i > $o) > $o,X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true != (X0 @ (sK3 @ X0) @ (sK3 @ X0))) | ((X0 @ X4 @ X5) != $true) | ($true != (X0 @ (sK2 @ X0) @ (sK0 @ X0))) | ($true = (X0 @ X8 @ X7))) )),
0.15/0.40	  inference(cnf_transformation,[],[f12])).
0.15/0.40	thf(f207,plain,(
0.15/0.40	  ~spl4_3),
0.15/0.40	  inference(avatar_contradiction_clause,[],[f206])).
0.15/0.40	thf(f206,plain,(
0.15/0.40	  $false | ~spl4_3),
0.15/0.40	  inference(trivial_inequality_removal,[],[f205])).
0.15/0.40	thf(f205,plain,(
0.15/0.40	  ($true = $false) | ~spl4_3),
0.15/0.40	  inference(forward_demodulation,[],[f201,f169])).
0.15/0.40	thf(f169,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X9 : $i] : (($false = (X8 @ X9))) ) | ~spl4_3),
0.15/0.40	  inference(trivial_inequality_removal,[],[f168])).
0.15/0.40	thf(f168,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X9 : $i] : (($false = (X8 @ X9)) | ($true = $false)) ) | ~spl4_3),
0.15/0.40	  inference(beta_eta_normalization,[],[f163])).
0.15/0.40	thf(f163,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X9 : $i] : (($true = ((^[Y0 : $i]: ($false)) @ X9)) | ($false = (X8 @ X9))) ) | ~spl4_3),
0.15/0.40	  inference(primitive_instantiation,[],[f129])).
0.15/0.40	thf(f129,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X9 : $i,X7 : $i > $o] : (($true = (X7 @ X9)) | ($false = (X8 @ X9))) ) | ~spl4_3),
0.15/0.40	  inference(binary_proxy_clausification,[],[f116])).
0.15/0.40	thf(f116,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X9 : $i,X7 : $i > $o] : (((X7 @ X9) = (X8 @ X9))) ) | ~spl4_3),
0.15/0.40	  inference(argument_congruence,[],[f57])).
0.15/0.40	thf(f57,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o] : ((X7 = X8)) ) | ~spl4_3),
0.15/0.40	  inference(avatar_component_clause,[],[f56])).
0.15/0.40	thf(f201,plain,(
0.15/0.40	  ( ! [X9 : $i,X12 : $i > $o] : (((X12 @ X9) = $true)) ) | ~spl4_3),
0.15/0.40	  inference(not_proxy_clausification,[],[f200])).
0.15/0.40	thf(f200,plain,(
0.15/0.40	  ( ! [X9 : $i,X12 : $i > $o] : (((~ (X12 @ X9)) = $false)) ) | ~spl4_3),
0.15/0.40	  inference(beta_eta_normalization,[],[f198])).
0.15/0.40	thf(f198,plain,(
0.15/0.40	  ( ! [X9 : $i,X12 : $i > $o] : ((((^[Y0 : $i]: (~ (X12 @ Y0))) @ X9) = $false)) ) | ~spl4_3),
0.15/0.40	  inference(primitive_instantiation,[],[f169])).
0.15/0.40	thf(f58,plain,(
0.15/0.40	  spl4_1 | spl4_2 | spl4_3),
0.15/0.40	  inference(avatar_split_clause,[],[f38,f56,f52,f49])).
0.15/0.40	thf(f38,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | (X7 = X8) | (X4 != X5)) )),
0.15/0.40	  inference(equality_proxy_clausification,[],[f37])).
0.15/0.40	thf(f37,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : ((X4 != X5) | ($true = (X7 = X8)) | ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) )),
0.15/0.40	  inference(equality_proxy_clausification,[],[f36])).
0.15/0.40	thf(f36,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : ((X4 != X5) | (((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($true = (X7 = X8))) )),
0.15/0.40	  inference(equality_proxy_clausification,[],[f35])).
0.15/0.40	thf(f35,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true != (X5 = X4)) | (((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($true = (X7 = X8))) )),
0.15/0.40	  inference(trivial_inequality_removal,[],[f34])).
0.15/0.40	thf(f34,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true != (X5 = X4)) | (((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($true != $true) | ($true = (X7 = X8))) )),
0.15/0.40	  inference(boolean_simplification,[],[f33])).
0.15/0.40	thf(f33,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true = (X7 = X8)) | ($true != ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | (((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($true != (X5 = X4))) )),
0.15/0.40	  inference(beta_eta_normalization,[],[f16])).
0.15/0.40	thf(f16,plain,(
0.15/0.40	  ( ! [X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ X4 @ X5)) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ X8 @ X7) = $true)) )),
0.15/0.40	  inference(primitive_instantiation,[],[f13])).
0.15/0.40	thf(f13,plain,(
0.15/0.40	  ( ! [X0 : ($i > $o) > ($i > $o) > $o,X8 : $i > $o,X7 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (($true = (X0 @ (sK1 @ X0) @ (sK0 @ X0))) | ((X0 @ X4 @ X5) != $true) | ($true != (X0 @ (sK3 @ X0) @ (sK3 @ X0))) | ($true = (X0 @ X8 @ X7))) )),
0.15/0.40	  inference(cnf_transformation,[],[f12])).
0.15/0.40	% SZS output end Proof for Vampire---4
0.15/0.40	% (10186)------------------------------
0.15/0.40	% (10186)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.40	% (10186)Termination reason: Refutation
0.15/0.40	
0.15/0.40	% (10186)Memory used [KB]: 5628
0.15/0.40	% (10186)Time elapsed: 0.020 s
0.15/0.40	% (10186)Instructions burned: 23 (million)
0.15/0.40	% (10186)------------------------------
0.15/0.40	% (10186)------------------------------
0.15/0.40	% (10182)Success in time 0.031 s
0.15/0.40	% Vampire---4.8 exiting
0.15/0.41	EOF