0.11/0.13	% Problem    : Vampire---4.8_12179 : 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 : n015.cluster.edu
0.15/0.36	% Model    : x86_64 x86_64
0.15/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.36	% Memory   : 8042.1875MB
0.15/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.36	% CPULimit   : 1440
0.15/0.36	% WCLimit    : 180
0.15/0.36	% DateTime   : Mon Jul  3 13:10:25 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.wxV0ncEurp/Vampire---4.8_12179 -m 12000  -t 180
0.15/0.39	% (12409)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.15/0.39	% (12410)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.15/0.39	% (12411)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)
0.15/0.39	% (12412)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)
0.15/0.39	% (12413)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.15/0.39	% (12414)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)
0.15/0.39	% (12415)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)
0.15/0.39	% (12416)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)
0.15/0.39	% (12415)Instruction limit reached!
0.15/0.39	% (12415)------------------------------
0.15/0.39	% (12415)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (12415)Termination reason: Unknown
0.15/0.39	% (12415)Termination phase: Property scanning
0.15/0.39	
0.15/0.39	% (12415)Memory used [KB]: 1023
0.15/0.39	% (12415)Time elapsed: 0.005 s
0.15/0.39	% (12415)Instructions burned: 5 (million)
0.15/0.39	% (12415)------------------------------
0.15/0.39	% (12415)------------------------------
0.15/0.39	% (12416)Refutation not found, incomplete strategy
0.15/0.39	% (12416)------------------------------
0.15/0.39	% (12416)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (12416)Termination reason: Refutation not found, incomplete strategy
0.15/0.39	
0.15/0.39	
0.15/0.39	% (12416)Memory used [KB]: 5628
0.15/0.39	% (12416)Time elapsed: 0.007 s
0.15/0.39	% (12416)Instructions burned: 9 (million)
0.15/0.39	% (12416)------------------------------
0.15/0.39	% (12416)------------------------------
0.15/0.39	% (12410)Refutation not found, incomplete strategy
0.15/0.39	% (12410)------------------------------
0.15/0.39	% (12410)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (12410)Termination reason: Refutation not found, incomplete strategy
0.15/0.39	
0.15/0.39	
0.15/0.39	% (12410)Memory used [KB]: 5628
0.15/0.39	% (12410)Time elapsed: 0.010 s
0.15/0.39	% (12410)Instructions burned: 14 (million)
0.15/0.39	% (12410)------------------------------
0.15/0.39	% (12410)------------------------------
0.15/0.39	% (12413)Instruction limit reached!
0.15/0.39	% (12413)------------------------------
0.15/0.39	% (12413)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (12413)Termination reason: Unknown
0.15/0.39	% (12413)Termination phase: Saturation
0.15/0.39	
0.15/0.39	% (12413)Memory used [KB]: 5756
0.15/0.39	% (12413)Time elapsed: 0.011 s
0.15/0.39	% (12413)Instructions burned: 17 (million)
0.15/0.39	% (12413)------------------------------
0.15/0.39	% (12413)------------------------------
0.15/0.40	% (12411)First to succeed.
0.15/0.40	% (12417)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)
0.15/0.41	% (12418)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.15/0.41	% (12412)Also succeeded, but the first one will report.
0.15/0.41	% (12411)Refutation found. Thanks to Tanya!
0.15/0.41	% SZS status Theorem for Vampire---4
0.15/0.41	% SZS output start Proof for Vampire---4
0.15/0.41	thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
0.15/0.41	thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
0.15/0.41	thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
0.15/0.41	thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
0.15/0.41	thf(func_def_6, type, refl: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
0.15/0.41	thf(func_def_9, type, symm: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
0.15/0.41	thf(func_def_13, type, trans: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
0.15/0.41	thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
0.15/0.41	thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
0.15/0.41	thf(func_def_17, type, po: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_18, type, so: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_19, type, total: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_20, type, term: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_21, type, ind: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
0.15/0.41	thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
0.15/0.41	thf(func_def_24, type, norm: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
0.15/0.41	thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_28, type, confl: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_29, type, cr: ($i > $i > $o) > $o).
0.15/0.41	thf(func_def_44, type, sK0: $i > $i > $o).
0.15/0.41	thf(f383,plain,(
0.15/0.41	  $false),
0.15/0.41	  inference(avatar_sat_refutation,[],[f230,f235,f244,f253,f258,f259,f260,f261,f266,f267,f268,f269,f271,f275,f346,f354,f382])).
0.15/0.41	thf(f382,plain,(
0.15/0.41	  ~spl1_8 | ~spl1_9),
0.15/0.41	  inference(avatar_contradiction_clause,[],[f381])).
0.15/0.41	thf(f381,plain,(
0.15/0.41	  $false | (~spl1_8 | ~spl1_9)),
0.15/0.41	  inference(trivial_inequality_removal,[],[f380])).
0.15/0.41	thf(f380,plain,(
0.15/0.41	  ($true = $false) | (~spl1_8 | ~spl1_9)),
0.15/0.41	  inference(backward_demodulation,[],[f265,f377])).
0.15/0.41	thf(f377,plain,(
0.15/0.41	  ((sK0 @ sK5 @ sK3) = $false) | ~spl1_8),
0.15/0.41	  inference(trivial_inequality_removal,[],[f373])).
0.15/0.41	thf(f373,plain,(
0.15/0.41	  ($true = $false) | ((sK0 @ sK5 @ sK3) = $false) | ~spl1_8),
0.15/0.41	  inference(superposition,[],[f257,f221])).
0.15/0.41	thf(f221,plain,(
0.15/0.41	  ( ! [X2 : $i,X1 : $i] : (((sK0 @ X2 @ X1) = $false) | ((sK0 @ X1 @ X2) = $false)) )),
0.15/0.41	  inference(not_proxy_clausification,[],[f220])).
0.15/0.41	thf(f220,plain,(
0.15/0.41	  ( ! [X2 : $i,X1 : $i] : (((sK0 @ X1 @ X2) = $false) | ($true = (~ (sK0 @ X2 @ X1)))) )),
0.15/0.41	  inference(binary_proxy_clausification,[],[f219])).
0.15/0.41	thf(f219,plain,(
0.15/0.41	  ( ! [X2 : $i,X1 : $i] : (($true = ((sK0 @ X1 @ X2) => (~ (sK0 @ X2 @ X1))))) )),
0.15/0.41	  inference(beta_eta_normalization,[],[f218])).
0.15/0.41	thf(f218,plain,(
0.15/0.41	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((sK0 @ X1 @ Y0) => (~ (sK0 @ Y0 @ X1)))) @ X2))) )),
0.15/0.41	  inference(pi_clausification,[],[f217])).
0.15/0.41	thf(f217,plain,(
0.15/0.41	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK0 @ X1 @ Y0) => (~ (sK0 @ Y0 @ X1))))))) )),
0.15/0.41	  inference(beta_eta_normalization,[],[f216])).
0.15/0.41	thf(f216,plain,(
0.15/0.41	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (~ (sK0 @ Y1 @ Y0)))))) @ X1))) )),
0.15/0.41	  inference(pi_clausification,[],[f206])).
0.15/0.41	thf(f206,plain,(
0.15/0.41	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (~ (sK0 @ Y1 @ Y0))))))) = $true)),
0.15/0.41	  inference(binary_proxy_clausification,[],[f205])).
0.15/0.41	thf(f205,plain,(
0.15/0.41	  ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y2) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y0 @ Y1)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (~ (sK0 @ Y1 @ Y0)))))))))),
0.15/0.41	  inference(beta_eta_normalization,[],[f141])).
0.15/0.41	thf(f141,plain,(
0.15/0.41	  ($true = ((^[Y0 : $i > $i > $o]: (((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (~ (Y1 @ Y3 @ Y2)))))))) @ Y0))) @ sK0))),
0.15/0.41	  inference(definition_unfolding,[],[f120,f131])).
0.15/0.41	thf(f131,plain,(
0.15/0.41	  (so = (^[Y0 : $i > $i > $o]: (((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y2 @ Y3) => (~ (Y1 @ Y3 @ Y2)))))))) @ Y0))))),
0.15/0.41	  inference(definition_unfolding,[],[f108,f114,f101])).
0.15/0.41	thf(f101,plain,(
0.15/0.41	  (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (~ (Y0 @ Y2 @ Y1)))))))))),
0.15/0.41	  inference(cnf_transformation,[],[f40])).
0.15/0.41	thf(f40,plain,(
0.15/0.41	  (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (~ (Y0 @ Y2 @ Y1)))))))))),
0.15/0.41	  inference(fool_elimination,[],[f39])).
0.15/0.41	thf(f39,plain,(
0.15/0.41	  (asymm = (^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X2 @ X1) => ~(X0 @ X1 @ X2)))))),
0.15/0.41	  inference(rectify,[],[f11])).
0.15/0.41	thf(f11,axiom,(
0.15/0.41	  (asymm = (^[X0 : $i > $i > $o] : (! [X3,X2] : ((X0 @ X2 @ X3) => ~(X0 @ X3 @ X2)))))),
0.15/0.41	  file('/export/starexec/sandbox/tmp/tmp.wxV0ncEurp/Vampire---4.8_12179',asymmetric)).
0.15/0.41	thf(f114,plain,(
0.15/0.41	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))))),
0.15/0.41	  inference(cnf_transformation,[],[f68])).
0.15/0.41	thf(f68,plain,(
0.15/0.41	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y3 @ Y2)) => (Y0 @ Y1 @ Y2))))))))))),
0.15/0.41	  inference(fool_elimination,[],[f67])).
0.15/0.41	thf(f67,plain,(
0.15/0.41	  ((^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X1 @ X2) & (X0 @ X3 @ X1)) => (X0 @ X3 @ X2)))) = trans)),
0.15/0.41	  inference(rectify,[],[f13])).
0.15/0.41	thf(f13,axiom,(
0.15/0.41	  ((^[X0 : $i > $i > $o] : (! [X3,X5,X2] : (((X0 @ X3 @ X5) & (X0 @ X2 @ X3)) => (X0 @ X2 @ X5)))) = trans)),
0.15/0.41	  file('/export/starexec/sandbox/tmp/tmp.wxV0ncEurp/Vampire---4.8_12179',transitive)).
0.15/0.41	thf(f108,plain,(
0.15/0.41	  (so = (^[Y0 : $i > $i > $o]: ((trans @ Y0) & (asymm @ Y0))))),
0.15/0.41	  inference(cnf_transformation,[],[f90])).
0.15/0.41	thf(f90,plain,(
0.15/0.41	  (so = (^[Y0 : $i > $i > $o]: ((trans @ Y0) & (asymm @ Y0))))),
0.15/0.41	  inference(fool_elimination,[],[f89])).
0.15/0.41	thf(f89,plain,(
0.15/0.41	  ((^[X0 : $i > $i > $o] : ((asymm @ X0) & (trans @ X0))) = so)),
0.15/0.41	  inference(rectify,[],[f18])).
0.15/0.41	thf(f18,axiom,(
0.15/0.41	  ((^[X0 : $i > $i > $o] : ((asymm @ X0) & (trans @ X0))) = so)),
0.15/0.41	  file('/export/starexec/sandbox/tmp/tmp.wxV0ncEurp/Vampire---4.8_12179',strict_order)).
0.15/0.41	thf(f120,plain,(
0.15/0.41	  ($true = (so @ sK0))),
0.15/0.41	  inference(cnf_transformation,[],[f93])).
0.15/0.41	thf(f93,plain,(
0.15/0.41	  ($true != (po @ (rc @ sK0))) & ($true = (so @ sK0))),
0.15/0.41	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f91,f92])).
0.15/0.41	thf(f92,plain,(
0.15/0.41	  ? [X0 : $i > $i > $o] : (((po @ (rc @ X0)) != $true) & ((so @ X0) = $true)) => (($true != (po @ (rc @ sK0))) & ($true = (so @ sK0)))),
0.15/0.41	  introduced(choice_axiom,[])).
0.15/0.41	thf(f91,plain,(
0.15/0.41	  ? [X0 : $i > $i > $o] : (((po @ (rc @ X0)) != $true) & ((so @ X0) = $true))),
0.15/0.41	  inference(ennf_transformation,[],[f87])).
0.15/0.41	thf(f87,plain,(
0.15/0.41	  ~! [X0 : $i > $i > $o] : (((so @ X0) = $true) => ((po @ (rc @ X0)) = $true))),
0.15/0.41	  inference(fool_elimination,[],[f86])).
0.15/0.41	thf(f86,plain,(
0.15/0.41	  ~! [X0 : $i > $i > $o] : ((so @ X0) => (po @ (rc @ X0)))),
0.15/0.41	  inference(rectify,[],[f31])).
0.15/0.41	thf(f31,negated_conjecture,(
0.15/0.41	  ~! [X0 : $i > $i > $o] : ((so @ X0) => (po @ (rc @ X0)))),
0.15/0.41	  inference(negated_conjecture,[],[f30])).
0.15/0.41	thf(f30,conjecture,(
0.15/0.41	  ! [X0 : $i > $i > $o] : ((so @ X0) => (po @ (rc @ X0)))),
0.15/0.41	  file('/export/starexec/sandbox/tmp/tmp.wxV0ncEurp/Vampire---4.8_12179',strict_order_induces_partial_order)).
0.15/0.41	thf(f257,plain,(
0.15/0.41	  ($true = (sK0 @ sK3 @ sK5)) | ~spl1_8),
0.15/0.41	  inference(avatar_component_clause,[],[f255])).
0.15/0.41	thf(f255,plain,(
0.15/0.41	  spl1_8 <=> ($true = (sK0 @ sK3 @ sK5))),
0.15/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
0.15/0.41	thf(f265,plain,(
0.15/0.41	  ($true = (sK0 @ sK5 @ sK3)) | ~spl1_9),
0.15/0.41	  inference(avatar_component_clause,[],[f263])).
0.15/0.41	thf(f263,plain,(
0.15/0.41	  spl1_9 <=> ($true = (sK0 @ sK5 @ sK3))),
0.15/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
0.15/0.41	thf(f354,plain,(
0.15/0.41	  ~spl1_3 | ~spl1_5 | ~spl1_7),
0.15/0.41	  inference(avatar_contradiction_clause,[],[f353])).
0.15/0.41	thf(f353,plain,(
0.15/0.41	  $false | (~spl1_3 | ~spl1_5 | ~spl1_7)),
0.15/0.41	  inference(trivial_inequality_removal,[],[f352])).
0.15/0.41	thf(f352,plain,(
0.15/0.41	  ($true = $false) | (~spl1_3 | ~spl1_5 | ~spl1_7)),
0.15/0.41	  inference(forward_demodulation,[],[f347,f234])).
0.15/0.41	thf(f234,plain,(
0.15/0.41	  ((sK0 @ sK2 @ sK6) = $false) | ~spl1_3),
0.15/0.41	  inference(avatar_component_clause,[],[f232])).
0.15/0.41	thf(f232,plain,(
0.15/0.41	  spl1_3 <=> ((sK0 @ sK2 @ sK6) = $false)),
0.15/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
0.15/0.41	thf(f347,plain,(
0.15/0.41	  ($true = (sK0 @ sK2 @ sK6)) | (~spl1_5 | ~spl1_7)),
0.15/0.41	  inference(backward_demodulation,[],[f252,f243])).
0.15/0.41	thf(f243,plain,(
0.15/0.41	  (sK6 = sK7) | ~spl1_5),
0.15/0.41	  inference(avatar_component_clause,[],[f241])).
0.15/0.41	thf(f241,plain,(
0.15/0.41	  spl1_5 <=> (sK6 = sK7)),
0.15/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
0.15/0.41	thf(f252,plain,(
0.15/0.41	  ((sK0 @ sK2 @ sK7) = $true) | ~spl1_7),
0.15/0.41	  inference(avatar_component_clause,[],[f250])).
0.15/0.41	thf(f250,plain,(
0.15/0.41	  spl1_7 <=> ((sK0 @ sK2 @ sK7) = $true)),
0.15/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
0.15/0.41	thf(f346,plain,(
0.15/0.41	  ~spl1_3 | ~spl1_4 | ~spl1_7),
0.15/0.41	  inference(avatar_contradiction_clause,[],[f345])).
0.15/0.41	thf(f345,plain,(
0.15/0.41	  $false | (~spl1_3 | ~spl1_4 | ~spl1_7)),
0.15/0.41	  inference(trivial_inequality_removal,[],[f344])).
0.15/0.41	thf(f344,plain,(
0.15/0.41	  ($true = $false) | (~spl1_3 | ~spl1_4 | ~spl1_7)),
0.15/0.41	  inference(forward_demodulation,[],[f337,f234])).
0.15/0.41	thf(f337,plain,(
0.15/0.41	  ($true = (sK0 @ sK2 @ sK6)) | (~spl1_4 | ~spl1_7)),
0.15/0.41	  inference(trivial_inequality_removal,[],[f333])).
0.15/0.41	thf(f333,plain,(
0.15/0.41	  ($true = $false) | ($true = (sK0 @ sK2 @ sK6)) | (~spl1_4 | ~spl1_7)),
0.15/0.41	  inference(superposition,[],[f311,f252])).
0.15/0.41	thf(f311,plain,(
0.15/0.41	  ( ! [X0 : $i] : (((sK0 @ X0 @ sK7) = $false) | ((sK0 @ X0 @ sK6) = $true)) ) | ~spl1_4),
0.15/0.41	  inference(trivial_inequality_removal,[],[f301])).
0.15/0.41	thf(f301,plain,(
0.15/0.41	  ( ! [X0 : $i] : (((sK0 @ X0 @ sK6) = $true) | ($true = $false) | ((sK0 @ X0 @ sK7) = $false)) ) | ~spl1_4),
0.15/0.41	  inference(superposition,[],[f215,f239])).
0.15/0.41	thf(f239,plain,(
0.15/0.41	  ((sK0 @ sK7 @ sK6) = $true) | ~spl1_4),
0.15/0.41	  inference(avatar_component_clause,[],[f237])).
0.15/0.41	thf(f237,plain,(
0.15/0.41	  spl1_4 <=> ((sK0 @ sK7 @ sK6) = $true)),
0.15/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
0.15/0.41	thf(f215,plain,(
0.15/0.41	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((sK0 @ X3 @ X2) = $false) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X1 @ X2) = $true)) )),
0.15/0.41	  inference(binary_proxy_clausification,[],[f214])).
0.15/0.41	thf(f214,plain,(
0.15/0.41	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((sK0 @ X1 @ X2) = $true) | (((sK0 @ X1 @ X3) & (sK0 @ X3 @ X2)) = $false)) )),
0.15/0.41	  inference(binary_proxy_clausification,[],[f213])).
0.15/0.41	thf(f213,plain,(
0.15/0.41	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((sK0 @ X1 @ X3) & (sK0 @ X3 @ X2)) => (sK0 @ X1 @ X2)))) )),
0.15/0.41	  inference(beta_eta_normalization,[],[f212])).
0.15/0.41	thf(f212,plain,(
0.15/0.41	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((sK0 @ X1 @ Y0) & (sK0 @ Y0 @ X2)) => (sK0 @ X1 @ X2))) @ X3))) )),
0.15/0.41	  inference(pi_clausification,[],[f211])).
0.15/0.41	thf(f211,plain,(
0.15/0.41	  ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X1 @ Y0) & (sK0 @ Y0 @ X2)) => (sK0 @ X1 @ X2)))) = $true)) )),
0.15/0.41	  inference(beta_eta_normalization,[],[f210])).
0.15/0.41	thf(f210,plain,(
0.15/0.41	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ X1 @ Y1) & (sK0 @ Y1 @ Y0)) => (sK0 @ X1 @ Y0))))) @ X2))) )),
0.15/0.41	  inference(pi_clausification,[],[f209])).
0.15/0.41	thf(f209,plain,(
0.15/0.41	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ X1 @ Y1) & (sK0 @ Y1 @ Y0)) => (sK0 @ X1 @ Y0)))))) = $true)) )),
0.15/0.41	  inference(beta_eta_normalization,[],[f208])).
0.15/0.41	thf(f208,plain,(
0.15/0.41	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y2) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y0 @ Y1))))))) @ X1))) )),
0.15/0.41	  inference(pi_clausification,[],[f207])).
0.15/0.41	thf(f207,plain,(
0.15/0.41	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y2) & (sK0 @ Y2 @ Y1)) => (sK0 @ Y0 @ Y1)))))))))),
0.15/0.41	  inference(binary_proxy_clausification,[],[f205])).
0.15/0.41	thf(f275,plain,(
0.15/0.41	  ~spl1_3 | ~spl1_4 | ~spl1_6),
0.15/0.41	  inference(avatar_contradiction_clause,[],[f274])).
0.15/0.41	thf(f274,plain,(
0.15/0.41	  $false | (~spl1_3 | ~spl1_4 | ~spl1_6)),
0.15/0.41	  inference(trivial_inequality_removal,[],[f273])).
0.15/0.41	thf(f273,plain,(
0.15/0.41	  ($true = $false) | (~spl1_3 | ~spl1_4 | ~spl1_6)),
0.15/0.41	  inference(forward_demodulation,[],[f272,f234])).
0.15/0.41	thf(f272,plain,(
0.15/0.41	  ($true = (sK0 @ sK2 @ sK6)) | (~spl1_4 | ~spl1_6)),
0.15/0.41	  inference(forward_demodulation,[],[f239,f248])).
0.15/0.41	thf(f248,plain,(
0.15/0.41	  (sK7 = sK2) | ~spl1_6),
0.15/0.41	  inference(avatar_component_clause,[],[f246])).
0.15/0.41	thf(f246,plain,(
0.15/0.41	  spl1_6 <=> (sK7 = sK2)),
0.15/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
0.15/0.41	thf(f271,plain,(
0.15/0.41	  spl1_1 | ~spl1_5 | ~spl1_6),
0.15/0.41	  inference(avatar_split_clause,[],[f270,f246,f241,f223])).
0.15/0.41	thf(f223,plain,(
0.15/0.41	  spl1_1 <=> (sK6 = sK2)),
0.15/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
0.15/0.41	thf(f270,plain,(
0.15/0.41	  (sK6 = sK2) | (~spl1_5 | ~spl1_6)),
0.15/0.41	  inference(backward_demodulation,[],[f243,f248])).
0.15/0.41	thf(f269,plain,(
0.15/0.41	  spl1_7 | spl1_9 | spl1_6 | spl1_2),
0.15/0.41	  inference(avatar_split_clause,[],[f171,f227,f246,f263,f250])).
0.15/0.41	thf(f227,plain,(
0.15/0.41	  spl1_2 <=> (sK3 = sK5)),
0.15/0.41	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.15/0.41	thf(f171,plain,(
0.15/0.41	  (sK3 = sK5) | ((sK0 @ sK2 @ sK7) = $true) | ($true = (sK0 @ sK5 @ sK3)) | (sK7 = sK2)),
0.15/0.41	  inference(equality_proxy_clausification,[],[f170])).
0.15/0.41	thf(f170,plain,(
0.15/0.41	  ((sK2 = sK7) = $true) | ((sK0 @ sK2 @ sK7) = $true) | ($true = (sK0 @ sK5 @ sK3)) | (sK3 = sK5)),
0.15/0.41	  inference(binary_proxy_clausification,[],[f169])).
0.15/0.41	thf(f169,plain,(
0.15/0.41	  (sK3 = sK5) | ($true = ((sK0 @ sK2 @ sK7) | (sK2 = sK7))) | ($true = (sK0 @ sK5 @ sK3))),
0.15/0.41	  inference(binary_proxy_clausification,[],[f167])).
0.15/0.41	thf(f167,plain,(
0.15/0.41	  ($true = (((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6)))) | (sK3 = sK5) | ($true = (sK0 @ sK5 @ sK3))),
0.15/0.41	  inference(binary_proxy_clausification,[],[f165])).
0.15/0.41	thf(f165,plain,(
0.15/0.41	  ($true = (sK0 @ sK5 @ sK3)) | (sK3 = sK5) | (((((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6))) = $false)),
0.15/0.41	  inference(equality_proxy_clausification,[],[f164])).
0.15/0.41	thf(f164,plain,(
0.15/0.41	  ($true = (sK5 = sK3)) | (((((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6))) = $false) | ($true = (sK0 @ sK5 @ sK3))),
0.15/0.41	  inference(binary_proxy_clausification,[],[f163])).
0.15/0.41	thf(f163,plain,(
0.15/0.41	  (((sK0 @ sK5 @ sK3) | (sK5 = sK3)) = $true) | (((((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6))) = $false)),
0.15/0.41	  inference(binary_proxy_clausification,[],[f161])).
0.15/0.41	thf(f161,plain,(
0.15/0.41	  ((((sK0 @ sK5 @ sK3) | (sK5 = sK3)) & ((sK0 @ sK3 @ sK5) | (sK3 = sK5))) = $true) | (((((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6))) = $false)),
0.15/0.41	  inference(binary_proxy_clausification,[],[f159])).
0.15/0.41	thf(f159,plain,(
0.15/0.41	  (((((sK0 @ sK5 @ sK3) | (sK5 = sK3)) & ((sK0 @ sK3 @ sK5) | (sK3 = sK5))) => (sK5 = sK3)) = $false) | (((((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6))) = $false)),
0.15/0.41	  inference(beta_eta_normalization,[],[f158])).
0.15/0.41	thf(f158,plain,(
0.15/0.41	  (((^[Y0 : $i]: ((((sK0 @ sK2 @ Y0) | (sK2 = Y0)) & ((sK0 @ Y0 @ sK6) | (Y0 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6)))) @ sK7) = $false) | (((((sK0 @ sK5 @ sK3) | (sK5 = sK3)) & ((sK0 @ sK3 @ sK5) | (sK3 = sK5))) => (sK5 = sK3)) = $false)),
0.15/0.41	  inference(sigma_clausification,[],[f157])).
0.15/0.41	thf(f157,plain,(
0.15/0.41	  ((!! @ $i @ (^[Y0 : $i]: ((((sK0 @ sK2 @ Y0) | (sK2 = Y0)) & ((sK0 @ Y0 @ sK6) | (Y0 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6))))) = $false) | (((((sK0 @ sK5 @ sK3) | (sK5 = sK3)) & ((sK0 @ sK3 @ sK5) | (sK3 = sK5))) => (sK5 = sK3)) = $false)),
0.15/0.41	  inference(beta_eta_normalization,[],[f156])).
0.15/0.41	thf(f156,plain,(
0.15/0.41	  (((((sK0 @ sK5 @ sK3) | (sK5 = sK3)) & ((sK0 @ sK3 @ sK5) | (sK3 = sK5))) => (sK5 = sK3)) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ sK2 @ Y1) | (sK2 = Y1)) & ((sK0 @ Y1 @ Y0) | (Y1 = Y0))) => ((sK0 @ sK2 @ Y0) | (sK2 = Y0)))))) @ sK6) = $false)),
0.15/0.41	  inference(sigma_clausification,[],[f155])).
0.15/0.41	thf(f155,plain,(
0.15/0.41	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ sK2 @ Y1) | (sK2 = Y1)) & ((sK0 @ Y1 @ Y0) | (Y1 = Y0))) => ((sK0 @ sK2 @ Y0) | (sK2 = Y0))))))) = $false) | (((((sK0 @ sK5 @ sK3) | (sK5 = sK3)) & ((sK0 @ sK3 @ sK5) | (sK3 = sK5))) => (sK5 = sK3)) = $false)),
0.15/0.41	  inference(beta_eta_normalization,[],[f154])).
0.15/0.41	thf(f154,plain,(
0.15/0.41	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ sK2 @ Y1) | (sK2 = Y1)) & ((sK0 @ Y1 @ Y0) | (Y1 = Y0))) => ((sK0 @ sK2 @ Y0) | (sK2 = Y0))))))) = $false) | ($false = ((^[Y0 : $i]: ((((sK0 @ Y0 @ sK3) | (Y0 = sK3)) & ((sK0 @ sK3 @ Y0) | (sK3 = Y0))) => (Y0 = sK3))) @ sK5))),
0.15/0.41	  inference(sigma_clausification,[],[f153])).
0.15/0.41	thf(f153,plain,(
0.15/0.41	  ($false = (!! @ $i @ (^[Y0 : $i]: ((((sK0 @ Y0 @ sK3) | (Y0 = sK3)) & ((sK0 @ sK3 @ Y0) | (sK3 = Y0))) => (Y0 = sK3))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ sK2 @ Y1) | (sK2 = Y1)) & ((sK0 @ Y1 @ Y0) | (Y1 = Y0))) => ((sK0 @ sK2 @ Y0) | (sK2 = Y0))))))) = $false)),
0.15/0.41	  inference(trivial_inequality_removal,[],[f152])).
0.15/0.41	thf(f152,plain,(
0.15/0.41	  ($true = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ sK2 @ Y1) | (sK2 = Y1)) & ((sK0 @ Y1 @ Y0) | (Y1 = Y0))) => ((sK0 @ sK2 @ Y0) | (sK2 = Y0))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((((sK0 @ Y0 @ sK3) | (Y0 = sK3)) & ((sK0 @ sK3 @ Y0) | (sK3 = Y0))) => (Y0 = sK3)))))),
0.15/0.41	  inference(beta_eta_normalization,[],[f151])).
0.15/0.41	thf(f151,plain,(
0.15/0.41	  (((^[Y0 : $i]: ($true)) @ sK4) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ sK2 @ Y1) | (sK2 = Y1)) & ((sK0 @ Y1 @ Y0) | (Y1 = Y0))) => ((sK0 @ sK2 @ Y0) | (sK2 = Y0))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((((sK0 @ Y0 @ sK3) | (Y0 = sK3)) & ((sK0 @ sK3 @ Y0) | (sK3 = Y0))) => (Y0 = sK3)))))),
0.15/0.41	  inference(sigma_clausification,[],[f150])).
0.15/0.41	thf(f150,plain,(
0.15/0.41	  ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((((sK0 @ Y0 @ sK3) | (Y0 = sK3)) & ((sK0 @ sK3 @ Y0) | (sK3 = Y0))) => (Y0 = sK3))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ sK2 @ Y1) | (sK2 = Y1)) & ((sK0 @ Y1 @ Y0) | (Y1 = Y0))) => ((sK0 @ sK2 @ Y0) | (sK2 = Y0))))))) = $false)),
0.15/0.41	  inference(beta_eta_normalization,[],[f149])).
0.15/0.41	thf(f149,plain,(
0.15/0.41	  (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ Y1 @ Y0) | (Y1 = Y0)) & ((sK0 @ Y0 @ Y1) | (Y0 = Y1))) => (Y1 = Y0))))) @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ sK2 @ Y1) | (sK2 = Y1)) & ((sK0 @ Y1 @ Y0) | (Y1 = Y0))) => ((sK0 @ sK2 @ Y0) | (sK2 = Y0))))))) = $false)),
0.15/0.41	  inference(sigma_clausification,[],[f148])).
0.15/0.41	thf(f148,plain,(
0.15/0.41	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ Y1 @ Y0) | (Y1 = Y0)) & ((sK0 @ Y0 @ Y1) | (Y0 = Y1))) => (Y1 = Y0)))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ sK2 @ Y1) | (sK2 = Y1)) & ((sK0 @ Y1 @ Y0) | (Y1 = Y0))) => ((sK0 @ sK2 @ Y0) | (sK2 = Y0))))))) = $false)),
0.15/0.41	  inference(beta_eta_normalization,[],[f147])).
0.15/0.41	thf(f147,plain,(
0.15/0.41	  (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((((sK0 @ Y0 @ Y2) | (Y0 = Y2)) & ((sK0 @ Y2 @ Y1) | (Y2 = Y1))) => ((sK0 @ Y0 @ Y1) | (Y0 = Y1)))))))) @ sK2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ Y1 @ Y0) | (Y1 = Y0)) & ((sK0 @ Y0 @ Y1) | (Y0 = Y1))) => (Y1 = Y0)))))) = $false)),
0.15/0.41	  inference(sigma_clausification,[],[f146])).
0.15/0.41	thf(f146,plain,(
0.15/0.41	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((((sK0 @ Y0 @ Y2) | (Y0 = Y2)) & ((sK0 @ Y2 @ Y1) | (Y2 = Y1))) => ((sK0 @ Y0 @ Y1) | (Y0 = Y1))))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ Y1 @ Y0) | (Y1 = Y0)) & ((sK0 @ Y0 @ Y1) | (Y0 = Y1))) => (Y1 = Y0)))))) = $false)),
0.15/0.41	  inference(binary_proxy_clausification,[],[f145])).
0.15/0.41	thf(f145,plain,(
0.15/0.41	  (((!! @ $i @ (^[Y0 : $i]: ($true))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ Y1 @ Y0) | (Y1 = Y0)) & ((sK0 @ Y0 @ Y1) | (Y0 = Y1))) => (Y1 = Y0))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((((sK0 @ Y0 @ Y2) | (Y0 = Y2)) & ((sK0 @ Y2 @ Y1) | (Y2 = Y1))) => ((sK0 @ Y0 @ Y1) | (Y0 = Y1))))))))) = $false)),
0.15/0.41	  inference(binary_proxy_clausification,[],[f144])).
0.15/0.41	thf(f144,plain,(
0.15/0.41	  ($true != (((!! @ $i @ (^[Y0 : $i]: ($true))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ Y1 @ Y0) | (Y1 = Y0)) & ((sK0 @ Y0 @ Y1) | (Y0 = Y1))) => (Y1 = Y0))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((((sK0 @ Y0 @ Y2) | (Y0 = Y2)) & ((sK0 @ Y2 @ Y1) | (Y2 = Y1))) => ((sK0 @ Y0 @ Y1) | (Y0 = Y1)))))))))))),
0.15/0.41	  inference(boolean_simplification,[],[f143])).
0.15/0.41	thf(f143,plain,(
0.36/0.41	  ((((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ Y0) | $true))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ Y1 @ Y0) | (Y1 = Y0)) & ((sK0 @ Y0 @ Y1) | (Y0 = Y1))) => (Y1 = Y0))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((((sK0 @ Y0 @ Y2) | (Y0 = Y2)) & ((sK0 @ Y2 @ Y1) | (Y2 = Y1))) => ((sK0 @ Y0 @ Y1) | (Y0 = Y1)))))))))) != $true)),
0.36/0.41	  inference(boolean_simplification,[],[f142])).
0.36/0.41	thf(f142,plain,(
0.36/0.41	  ((((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ Y0) | (Y0 = Y0)))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((((sK0 @ Y1 @ Y0) | (Y1 = Y0)) & ((sK0 @ Y0 @ Y1) | (Y0 = Y1))) => (Y1 = Y0))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((((sK0 @ Y0 @ Y2) | (Y0 = Y2)) & ((sK0 @ Y2 @ Y1) | (Y2 = Y1))) => ((sK0 @ Y0 @ Y1) | (Y0 = Y1)))))))))) != $true)),
0.36/0.41	  inference(beta_eta_normalization,[],[f140])).
0.36/0.41	thf(f140,plain,(
0.36/0.41	  ($true != ((^[Y0 : $i > $i > $o]: ((((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2 @ Y2)))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y2 @ Y3)) => (Y3 = Y2))))))) @ Y0)) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) @ Y0))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))) @ sK0)))),
0.36/0.41	  inference(definition_unfolding,[],[f121,f130,f99])).
0.36/0.41	thf(f99,plain,(
0.36/0.41	  (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))))),
0.36/0.41	  inference(cnf_transformation,[],[f36])).
0.36/0.41	thf(f36,plain,(
0.36/0.41	  (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))))),
0.36/0.41	  inference(fool_elimination,[],[f35])).
0.36/0.41	thf(f35,plain,(
0.36/0.41	  ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X1 = X2) | (X0 @ X1 @ X2))) = rc)),
0.36/0.41	  inference(rectify,[],[f8])).
0.36/0.41	thf(f8,axiom,(
0.36/0.41	  ((^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : ((X2 = X3) | (X0 @ X2 @ X3))) = rc)),
0.36/0.41	  file('/export/starexec/sandbox/tmp/tmp.wxV0ncEurp/Vampire---4.8_12179',reflexive_closure)).
0.36/0.41	thf(f130,plain,(
0.36/0.41	  (po = (^[Y0 : $i > $i > $o]: ((((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2 @ Y2)))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y2 @ Y3)) => (Y3 = Y2))))))) @ Y0)) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y4 @ Y3)) => (Y1 @ Y2 @ Y3))))))))) @ Y0))))),
0.36/0.41	  inference(definition_unfolding,[],[f115,f96,f97,f114])).
0.36/0.41	thf(f97,plain,(
0.36/0.41	  (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y2)) => (Y2 = Y1))))))))),
0.36/0.41	  inference(cnf_transformation,[],[f38])).
0.36/0.41	thf(f38,plain,(
0.36/0.41	  (antisymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y2)) => (Y2 = Y1))))))))),
0.36/0.41	  inference(fool_elimination,[],[f37])).
0.36/0.41	thf(f37,plain,(
0.36/0.41	  ((^[X0 : $i > $i > $o] : (! [X1,X2] : (((X0 @ X2 @ X1) & (X0 @ X1 @ X2)) => (X1 = X2)))) = antisymm)),
0.36/0.41	  inference(rectify,[],[f10])).
0.36/0.41	thf(f10,axiom,(
0.36/0.41	  ((^[X0 : $i > $i > $o] : (! [X2,X3] : (((X0 @ X3 @ X2) & (X0 @ X2 @ X3)) => (X2 = X3)))) = antisymm)),
0.36/0.41	  file('/export/starexec/sandbox/tmp/tmp.wxV0ncEurp/Vampire---4.8_12179',antisymmetric)).
0.36/0.41	thf(f96,plain,(
0.36/0.41	  (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
0.36/0.41	  inference(cnf_transformation,[],[f60])).
0.36/0.41	thf(f60,plain,(
0.36/0.41	  (refl = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
0.36/0.41	  inference(fool_elimination,[],[f59])).
0.36/0.41	thf(f59,plain,(
0.36/0.41	  ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = refl)),
0.36/0.41	  inference(rectify,[],[f6])).
0.36/0.41	thf(f6,axiom,(
0.36/0.41	  ((^[X0 : $i > $i > $o] : (! [X2] : (X0 @ X2 @ X2))) = refl)),
0.36/0.41	  file('/export/starexec/sandbox/tmp/tmp.wxV0ncEurp/Vampire---4.8_12179',reflexive)).
0.36/0.41	thf(f115,plain,(
0.36/0.41	  (po = (^[Y0 : $i > $i > $o]: (((refl @ Y0) & (antisymm @ Y0)) & (trans @ Y0))))),
0.36/0.41	  inference(cnf_transformation,[],[f56])).
0.36/0.41	thf(f56,plain,(
0.36/0.41	  (po = (^[Y0 : $i > $i > $o]: (((refl @ Y0) & (antisymm @ Y0)) & (trans @ Y0))))),
0.36/0.41	  inference(fool_elimination,[],[f55])).
0.36/0.41	thf(f55,plain,(
0.36/0.41	  (po = (^[X0 : $i > $i > $o] : ((trans @ X0) & (antisymm @ X0) & (refl @ X0))))),
0.36/0.41	  inference(rectify,[],[f17])).
0.36/0.41	thf(f17,axiom,(
0.36/0.41	  (po = (^[X0 : $i > $i > $o] : ((trans @ X0) & (antisymm @ X0) & (refl @ X0))))),
0.36/0.41	  file('/export/starexec/sandbox/tmp/tmp.wxV0ncEurp/Vampire---4.8_12179',partial_order)).
0.36/0.41	thf(f121,plain,(
0.36/0.41	  ($true != (po @ (rc @ sK0)))),
0.36/0.41	  inference(cnf_transformation,[],[f93])).
0.36/0.41	thf(f268,plain,(
0.36/0.41	  spl1_2 | spl1_4 | spl1_5 | spl1_9),
0.36/0.41	  inference(avatar_split_clause,[],[f173,f263,f241,f237,f227])).
0.36/0.41	thf(f173,plain,(
0.36/0.41	  (sK6 = sK7) | ((sK0 @ sK7 @ sK6) = $true) | ($true = (sK0 @ sK5 @ sK3)) | (sK3 = sK5)),
0.36/0.41	  inference(equality_proxy_clausification,[],[f172])).
0.36/0.41	thf(f172,plain,(
0.36/0.41	  ((sK0 @ sK7 @ sK6) = $true) | (sK3 = sK5) | ($true = (sK7 = sK6)) | ($true = (sK0 @ sK5 @ sK3))),
0.36/0.41	  inference(binary_proxy_clausification,[],[f168])).
0.36/0.41	thf(f168,plain,(
0.36/0.41	  (sK3 = sK5) | ($true = (sK0 @ sK5 @ sK3)) | (((sK0 @ sK7 @ sK6) | (sK7 = sK6)) = $true)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f167])).
0.36/0.41	thf(f267,plain,(
0.36/0.41	  spl1_9 | spl1_3 | spl1_2),
0.36/0.41	  inference(avatar_split_clause,[],[f175,f227,f232,f263])).
0.36/0.41	thf(f175,plain,(
0.36/0.41	  ((sK0 @ sK2 @ sK6) = $false) | (sK3 = sK5) | ($true = (sK0 @ sK5 @ sK3))),
0.36/0.41	  inference(binary_proxy_clausification,[],[f166])).
0.36/0.41	thf(f166,plain,(
0.36/0.41	  ($true = (sK0 @ sK5 @ sK3)) | (sK3 = sK5) | (((sK0 @ sK2 @ sK6) | (sK2 = sK6)) = $false)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f165])).
0.36/0.41	thf(f266,plain,(
0.36/0.41	  spl1_9 | spl1_2 | ~spl1_1),
0.36/0.41	  inference(avatar_split_clause,[],[f176,f223,f227,f263])).
0.36/0.41	thf(f176,plain,(
0.36/0.41	  ($true = (sK0 @ sK5 @ sK3)) | (sK6 != sK2) | (sK3 = sK5)),
0.36/0.41	  inference(equality_proxy_clausification,[],[f174])).
0.36/0.41	thf(f174,plain,(
0.36/0.41	  ($true = (sK0 @ sK5 @ sK3)) | ((sK2 = sK6) = $false) | (sK3 = sK5)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f166])).
0.36/0.41	thf(f261,plain,(
0.36/0.41	  spl1_2 | spl1_8 | spl1_7 | spl1_6),
0.36/0.41	  inference(avatar_split_clause,[],[f184,f246,f250,f255,f227])).
0.36/0.41	thf(f184,plain,(
0.36/0.41	  (sK3 = sK5) | ((sK0 @ sK2 @ sK7) = $true) | ($true = (sK0 @ sK3 @ sK5)) | (sK7 = sK2)),
0.36/0.41	  inference(equality_proxy_clausification,[],[f183])).
0.36/0.41	thf(f183,plain,(
0.36/0.41	  (sK3 = sK5) | ((sK0 @ sK2 @ sK7) = $true) | ($true = (sK0 @ sK3 @ sK5)) | ((sK2 = sK7) = $true)),
0.36/0.41	  inference(equality_proxy_clausification,[],[f182])).
0.36/0.41	thf(f182,plain,(
0.36/0.41	  ((sK0 @ sK2 @ sK7) = $true) | ((sK3 = sK5) = $true) | ($true = (sK0 @ sK3 @ sK5)) | ((sK2 = sK7) = $true)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f181])).
0.36/0.41	thf(f181,plain,(
0.36/0.41	  ($true = (sK0 @ sK3 @ sK5)) | ($true = ((sK0 @ sK2 @ sK7) | (sK2 = sK7))) | ((sK3 = sK5) = $true)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f179])).
0.36/0.41	thf(f179,plain,(
0.36/0.41	  ($true = (sK0 @ sK3 @ sK5)) | ($true = (((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6)))) | ((sK3 = sK5) = $true)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f177])).
0.36/0.41	thf(f177,plain,(
0.36/0.41	  ($true = (sK0 @ sK3 @ sK5)) | (((((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6))) = $false) | ((sK3 = sK5) = $true)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f162])).
0.36/0.41	thf(f162,plain,(
0.36/0.41	  (((sK0 @ sK3 @ sK5) | (sK3 = sK5)) = $true) | (((((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6))) = $false)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f161])).
0.36/0.41	thf(f260,plain,(
0.36/0.41	  spl1_8 | spl1_4 | spl1_5 | spl1_2),
0.36/0.41	  inference(avatar_split_clause,[],[f187,f227,f241,f237,f255])).
0.36/0.41	thf(f187,plain,(
0.36/0.41	  (sK3 = sK5) | ((sK0 @ sK7 @ sK6) = $true) | (sK6 = sK7) | ($true = (sK0 @ sK3 @ sK5))),
0.36/0.41	  inference(equality_proxy_clausification,[],[f186])).
0.36/0.41	thf(f186,plain,(
0.36/0.41	  ($true = (sK0 @ sK3 @ sK5)) | (sK3 = sK5) | ((sK0 @ sK7 @ sK6) = $true) | ($true = (sK7 = sK6))),
0.36/0.41	  inference(equality_proxy_clausification,[],[f185])).
0.36/0.41	thf(f185,plain,(
0.36/0.41	  ((sK0 @ sK7 @ sK6) = $true) | ((sK3 = sK5) = $true) | ($true = (sK0 @ sK3 @ sK5)) | ($true = (sK7 = sK6))),
0.36/0.41	  inference(binary_proxy_clausification,[],[f180])).
0.36/0.41	thf(f180,plain,(
0.36/0.41	  (((sK0 @ sK7 @ sK6) | (sK7 = sK6)) = $true) | ($true = (sK0 @ sK3 @ sK5)) | ((sK3 = sK5) = $true)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f179])).
0.36/0.41	thf(f259,plain,(
0.36/0.41	  spl1_3 | spl1_8 | spl1_2),
0.36/0.41	  inference(avatar_split_clause,[],[f190,f227,f255,f232])).
0.36/0.41	thf(f190,plain,(
0.36/0.41	  ((sK0 @ sK2 @ sK6) = $false) | ($true = (sK0 @ sK3 @ sK5)) | (sK3 = sK5)),
0.36/0.41	  inference(equality_proxy_clausification,[],[f189])).
0.36/0.41	thf(f189,plain,(
0.36/0.41	  ((sK3 = sK5) = $true) | ($true = (sK0 @ sK3 @ sK5)) | ((sK0 @ sK2 @ sK6) = $false)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f178])).
0.36/0.41	thf(f178,plain,(
0.36/0.41	  (((sK0 @ sK2 @ sK6) | (sK2 = sK6)) = $false) | ((sK3 = sK5) = $true) | ($true = (sK0 @ sK3 @ sK5))),
0.36/0.41	  inference(binary_proxy_clausification,[],[f177])).
0.36/0.41	thf(f258,plain,(
0.36/0.41	  spl1_8 | ~spl1_1 | spl1_2),
0.36/0.41	  inference(avatar_split_clause,[],[f192,f227,f223,f255])).
0.36/0.41	thf(f192,plain,(
0.36/0.41	  (sK6 != sK2) | (sK3 = sK5) | ($true = (sK0 @ sK3 @ sK5))),
0.36/0.41	  inference(equality_proxy_clausification,[],[f191])).
0.36/0.41	thf(f191,plain,(
0.36/0.41	  (sK3 = sK5) | ((sK2 = sK6) = $false) | ($true = (sK0 @ sK3 @ sK5))),
0.36/0.41	  inference(equality_proxy_clausification,[],[f188])).
0.36/0.41	thf(f188,plain,(
0.36/0.41	  ($true = (sK0 @ sK3 @ sK5)) | ((sK3 = sK5) = $true) | ((sK2 = sK6) = $false)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f178])).
0.36/0.41	thf(f253,plain,(
0.36/0.41	  ~spl1_2 | spl1_6 | spl1_7),
0.36/0.41	  inference(avatar_split_clause,[],[f199,f250,f246,f227])).
0.36/0.41	thf(f199,plain,(
0.36/0.41	  (sK7 = sK2) | ((sK0 @ sK2 @ sK7) = $true) | (sK3 != sK5)),
0.36/0.41	  inference(equality_proxy_clausification,[],[f198])).
0.36/0.41	thf(f198,plain,(
0.36/0.41	  ((sK2 = sK7) = $true) | (sK3 != sK5) | ((sK0 @ sK2 @ sK7) = $true)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f197])).
0.36/0.41	thf(f197,plain,(
0.36/0.41	  (sK3 != sK5) | ($true = ((sK0 @ sK2 @ sK7) | (sK2 = sK7)))),
0.36/0.41	  inference(binary_proxy_clausification,[],[f195])).
0.36/0.41	thf(f195,plain,(
0.36/0.41	  ($true = (((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6)))) | (sK3 != sK5)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f193])).
0.36/0.41	thf(f193,plain,(
0.36/0.41	  (((((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6))) = $false) | (sK3 != sK5)),
0.36/0.41	  inference(equality_proxy_clausification,[],[f160])).
0.36/0.41	thf(f160,plain,(
0.36/0.41	  ((sK5 = sK3) = $false) | (((((sK0 @ sK2 @ sK7) | (sK2 = sK7)) & ((sK0 @ sK7 @ sK6) | (sK7 = sK6))) => ((sK0 @ sK2 @ sK6) | (sK2 = sK6))) = $false)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f159])).
0.36/0.41	thf(f244,plain,(
0.36/0.41	  spl1_4 | spl1_5 | ~spl1_2),
0.36/0.41	  inference(avatar_split_clause,[],[f201,f227,f241,f237])).
0.36/0.41	thf(f201,plain,(
0.36/0.41	  ((sK0 @ sK7 @ sK6) = $true) | (sK3 != sK5) | (sK6 = sK7)),
0.36/0.41	  inference(equality_proxy_clausification,[],[f200])).
0.36/0.41	thf(f200,plain,(
0.36/0.41	  ($true = (sK7 = sK6)) | (sK3 != sK5) | ((sK0 @ sK7 @ sK6) = $true)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f196])).
0.36/0.41	thf(f196,plain,(
0.36/0.41	  (((sK0 @ sK7 @ sK6) | (sK7 = sK6)) = $true) | (sK3 != sK5)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f195])).
0.36/0.41	thf(f235,plain,(
0.36/0.41	  ~spl1_2 | spl1_3),
0.36/0.41	  inference(avatar_split_clause,[],[f203,f232,f227])).
0.36/0.41	thf(f203,plain,(
0.36/0.41	  (sK3 != sK5) | ((sK0 @ sK2 @ sK6) = $false)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f194])).
0.36/0.41	thf(f194,plain,(
0.36/0.41	  (sK3 != sK5) | (((sK0 @ sK2 @ sK6) | (sK2 = sK6)) = $false)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f193])).
0.36/0.41	thf(f230,plain,(
0.36/0.41	  ~spl1_1 | ~spl1_2),
0.36/0.41	  inference(avatar_split_clause,[],[f204,f227,f223])).
0.36/0.41	thf(f204,plain,(
0.36/0.41	  (sK6 != sK2) | (sK3 != sK5)),
0.36/0.41	  inference(equality_proxy_clausification,[],[f202])).
0.36/0.41	thf(f202,plain,(
0.36/0.41	  (sK3 != sK5) | ((sK2 = sK6) = $false)),
0.36/0.41	  inference(binary_proxy_clausification,[],[f194])).
0.36/0.41	% SZS output end Proof for Vampire---4
0.36/0.41	% (12411)------------------------------
0.36/0.41	% (12411)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.36/0.41	% (12411)Termination reason: Refutation
0.36/0.41	
0.36/0.41	% (12411)Memory used [KB]: 5756
0.36/0.41	% (12411)Time elapsed: 0.024 s
0.36/0.41	% (12411)Instructions burned: 26 (million)
0.36/0.41	% (12411)------------------------------
0.36/0.41	% (12411)------------------------------
0.36/0.41	% (12408)Success in time 0.038 s
0.36/0.41	% Vampire---4.8 exiting
0.36/0.41	EOF