0.03/0.13	% Problem    : Vampire---4.8_25195 : TPTP v0.0.0. Released v0.0.0.
0.14/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.15/0.35	% Computer : n007.cluster.edu
0.15/0.35	% Model    : x86_64 x86_64
0.15/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.35	% Memory   : 8042.1875MB
0.15/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.35	% CPULimit   : 1440
0.15/0.35	% WCLimit    : 180
0.15/0.35	% DateTime   : Mon Jul  3 12:51:43 EDT 2023
0.15/0.35	% CPUTime    : 
0.15/0.35	This is a THF_ problem
0.21/0.35	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.j5LRrUjz7W/Vampire---4.8_25195 -m 12000  -t 180
0.21/0.37	% (25419)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.21/0.37	% (25420)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi)
0.21/0.37	% (25419)Instruction limit reached!
0.21/0.37	% (25419)------------------------------
0.21/0.37	% (25419)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.37	% (25419)Termination reason: Unknown
0.21/0.37	% (25419)Termination phase: Saturation
0.21/0.37	
0.21/0.37	% (25419)Memory used [KB]: 5756
0.21/0.37	% (25419)Time elapsed: 0.007 s
0.21/0.37	% (25419)Instructions burned: 18 (million)
0.21/0.37	% (25419)------------------------------
0.21/0.37	% (25419)------------------------------
0.21/0.37	% (25415)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.21/0.37	% (25416)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.21/0.37	% (25417)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi)
0.21/0.37	% (25418)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi)
0.21/0.37	% (25421)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi)
0.21/0.37	% (25422)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi)
0.21/0.38	% (25421)Instruction limit reached!
0.21/0.38	% (25421)------------------------------
0.21/0.38	% (25421)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.38	% (25421)Termination reason: Unknown
0.21/0.38	% (25421)Termination phase: shuffling
0.21/0.38	
0.21/0.38	% (25421)Memory used [KB]: 1023
0.21/0.38	% (25421)Time elapsed: 0.004 s
0.21/0.38	% (25421)Instructions burned: 4 (million)
0.21/0.38	% (25421)------------------------------
0.21/0.38	% (25421)------------------------------
0.21/0.38	% (25422)Refutation not found, incomplete strategy
0.21/0.38	% (25422)------------------------------
0.21/0.38	% (25422)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.38	% (25422)Termination reason: Refutation not found, incomplete strategy
0.21/0.38	
0.21/0.38	
0.21/0.38	% (25422)Memory used [KB]: 5628
0.21/0.38	% (25422)Time elapsed: 0.006 s
0.21/0.38	% (25422)Instructions burned: 9 (million)
0.21/0.38	% (25422)------------------------------
0.21/0.38	% (25422)------------------------------
0.21/0.38	% (25416)Refutation not found, incomplete strategy
0.21/0.38	% (25416)------------------------------
0.21/0.38	% (25416)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.38	% (25416)Termination reason: Refutation not found, incomplete strategy
0.21/0.38	
0.21/0.38	
0.21/0.38	% (25416)Memory used [KB]: 5628
0.21/0.38	% (25416)Time elapsed: 0.010 s
0.21/0.38	% (25416)Instructions burned: 12 (million)
0.21/0.38	% (25416)------------------------------
0.21/0.38	% (25416)------------------------------
0.21/0.38	% (25423)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)
0.21/0.39	% (25417)First to succeed.
0.21/0.39	% (25423)Instruction limit reached!
0.21/0.39	% (25423)------------------------------
0.21/0.39	% (25423)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.39	% (25423)Termination reason: Unknown
0.21/0.39	% (25423)Termination phase: Saturation
0.21/0.39	
0.21/0.39	% (25423)Memory used [KB]: 5628
0.21/0.39	% (25423)Time elapsed: 0.008 s
0.21/0.39	% (25423)Instructions burned: 21 (million)
0.21/0.39	% (25423)------------------------------
0.21/0.39	% (25423)------------------------------
0.21/0.39	% (25417)Refutation found. Thanks to Tanya!
0.21/0.39	% SZS status Theorem for Vampire---4
0.21/0.39	% SZS output start Proof for Vampire---4
0.21/0.39	thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
0.21/0.39	thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
0.21/0.39	thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
0.21/0.39	thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
0.21/0.39	thf(func_def_6, type, refl: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
0.21/0.39	thf(func_def_9, type, symm: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
0.21/0.39	thf(func_def_13, type, trans: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
0.21/0.39	thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
0.21/0.39	thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
0.21/0.39	thf(func_def_17, type, po: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_18, type, so: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_19, type, total: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_20, type, term: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_21, type, ind: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
0.21/0.39	thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
0.21/0.39	thf(func_def_24, type, norm: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
0.21/0.39	thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_28, type, confl: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_29, type, cr: ($i > $i > $o) > $o).
0.21/0.39	thf(func_def_44, type, sK0: $i > $i > $o).
0.21/0.39	thf(f291,plain,(
0.21/0.39	  $false),
0.21/0.39	  inference(avatar_sat_refutation,[],[f192,f197,f202,f207,f208,f209,f221,f290])).
0.21/0.39	thf(f290,plain,(
0.21/0.39	  ~spl1_1 | ~spl1_4 | ~spl1_5),
0.21/0.39	  inference(avatar_contradiction_clause,[],[f289])).
0.21/0.39	thf(f289,plain,(
0.21/0.39	  $false | (~spl1_1 | ~spl1_4 | ~spl1_5)),
0.21/0.39	  inference(trivial_inequality_removal,[],[f288])).
0.21/0.39	thf(f288,plain,(
0.21/0.39	  ($false = $true) | (~spl1_1 | ~spl1_4 | ~spl1_5)),
0.21/0.39	  inference(backward_demodulation,[],[f201,f286])).
0.21/0.39	thf(f286,plain,(
0.21/0.39	  ($false = (sK0 @ sK4 @ sK5)) | (~spl1_1 | ~spl1_5)),
0.21/0.39	  inference(trivial_inequality_removal,[],[f281])).
0.21/0.39	thf(f281,plain,(
0.21/0.39	  ($false = $true) | ($false = (sK0 @ sK4 @ sK5)) | (~spl1_1 | ~spl1_5)),
0.21/0.39	  inference(superposition,[],[f206,f277])).
0.21/0.39	thf(f277,plain,(
0.21/0.39	  ( ! [X0 : $i] : (($false = (sK0 @ sK6 @ X0)) | ((sK0 @ X0 @ sK5) = $false)) ) | ~spl1_1),
0.21/0.39	  inference(trivial_inequality_removal,[],[f257])).
0.21/0.39	thf(f257,plain,(
0.21/0.39	  ( ! [X0 : $i] : (($false = $true) | ($false = (sK0 @ sK6 @ X0)) | ((sK0 @ X0 @ sK5) = $false)) ) | ~spl1_1),
0.21/0.39	  inference(superposition,[],[f177,f187])).
0.21/0.39	thf(f187,plain,(
0.21/0.39	  ((sK0 @ sK6 @ sK5) = $false) | ~spl1_1),
0.21/0.39	  inference(avatar_component_clause,[],[f185])).
0.21/0.39	thf(f185,plain,(
0.21/0.39	  spl1_1 <=> ((sK0 @ sK6 @ sK5) = $false)),
0.21/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
0.21/0.39	thf(f177,plain,(
0.21/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((sK0 @ X2 @ X3) = $true) | ((sK0 @ X2 @ X1) = $false) | ((sK0 @ X1 @ X3) = $false)) )),
0.21/0.39	  inference(binary_proxy_clausification,[],[f176])).
0.21/0.39	thf(f176,plain,(
0.21/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((sK0 @ X2 @ X3) = $true) | ($false = ((sK0 @ X1 @ X3) & (sK0 @ X2 @ X1)))) )),
0.21/0.39	  inference(binary_proxy_clausification,[],[f175])).
0.21/0.39	thf(f175,plain,(
0.21/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((sK0 @ X1 @ X3) & (sK0 @ X2 @ X1)) => (sK0 @ X2 @ X3)) = $true)) )),
0.21/0.39	  inference(beta_eta_normalization,[],[f174])).
0.21/0.39	thf(f174,plain,(
0.21/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((sK0 @ X1 @ Y0) & (sK0 @ X2 @ X1)) => (sK0 @ X2 @ Y0))) @ X3) = $true)) )),
0.21/0.39	  inference(pi_clausification,[],[f173])).
0.21/0.39	thf(f173,plain,(
0.21/0.39	  ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((sK0 @ X1 @ Y0) & (sK0 @ X2 @ X1)) => (sK0 @ X2 @ Y0)))) = $true)) )),
0.21/0.39	  inference(beta_eta_normalization,[],[f172])).
0.21/0.39	thf(f172,plain,(
0.21/0.39	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ X1 @ Y1) & (sK0 @ Y0 @ X1)) => (sK0 @ Y0 @ Y1))))) @ X2) = $true)) )),
0.21/0.39	  inference(pi_clausification,[],[f171])).
0.21/0.39	thf(f171,plain,(
0.21/0.39	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ X1 @ Y1) & (sK0 @ Y0 @ X1)) => (sK0 @ Y0 @ Y1)))))) = $true)) )),
0.21/0.39	  inference(beta_eta_normalization,[],[f170])).
0.21/0.39	thf(f170,plain,(
0.21/0.39	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y2) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ Y2))))))) @ X1))) )),
0.21/0.39	  inference(pi_clausification,[],[f169])).
0.21/0.39	thf(f169,plain,(
0.21/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y2) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ Y2)))))))) = $true)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f167])).
0.21/0.39	thf(f167,plain,(
0.21/0.39	  (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y0 @ Y2) & (sK0 @ Y1 @ Y0)) => (sK0 @ Y1 @ Y2)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (~ (sK0 @ Y0 @ Y1)))))))) = $true)),
0.21/0.39	  inference(beta_eta_normalization,[],[f141])).
0.21/0.39	thf(f141,plain,(
0.21/0.39	  (((^[Y0 : $i > $i > $o]: (((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (~ (Y1 @ Y2 @ Y3)))))))) @ Y0))) @ sK0) = $true)),
0.21/0.39	  inference(definition_unfolding,[],[f110,f131])).
0.21/0.39	thf(f131,plain,(
0.21/0.39	  (so = (^[Y0 : $i > $i > $o]: (((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (~ (Y1 @ Y2 @ Y3)))))))) @ Y0))))),
0.21/0.39	  inference(definition_unfolding,[],[f107,f115,f99])).
0.21/0.39	thf(f99,plain,(
0.21/0.39	  (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (~ (Y0 @ Y1 @ Y2)))))))))),
0.21/0.39	  inference(cnf_transformation,[],[f62])).
0.21/0.39	thf(f62,plain,(
0.21/0.39	  (asymm = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (~ (Y0 @ Y1 @ Y2)))))))))),
0.21/0.39	  inference(fool_elimination,[],[f61])).
0.21/0.39	thf(f61,plain,(
0.21/0.39	  ((^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => ~(X0 @ X2 @ X1)))) = asymm)),
0.21/0.39	  inference(rectify,[],[f11])).
0.21/0.39	thf(f11,axiom,(
0.21/0.39	  ((^[X0 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => ~(X0 @ X3 @ X2)))) = asymm)),
0.21/0.39	  file('/export/starexec/sandbox2/tmp/tmp.j5LRrUjz7W/Vampire---4.8_25195',asymmetric)).
0.21/0.39	thf(f115,plain,(
0.21/0.39	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))))),
0.21/0.39	  inference(cnf_transformation,[],[f72])).
0.21/0.39	thf(f72,plain,(
0.21/0.39	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))))),
0.21/0.39	  inference(fool_elimination,[],[f71])).
0.21/0.39	thf(f71,plain,(
0.21/0.39	  (trans = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X1)) => (X0 @ X2 @ X1)))))),
0.21/0.39	  inference(rectify,[],[f13])).
0.21/0.39	thf(f13,axiom,(
0.21/0.39	  (trans = (^[X0 : $i > $i > $o] : (! [X5,X2,X3] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X5)) => (X0 @ X2 @ X5)))))),
0.21/0.39	  file('/export/starexec/sandbox2/tmp/tmp.j5LRrUjz7W/Vampire---4.8_25195',transitive)).
0.21/0.39	thf(f107,plain,(
0.21/0.39	  (so = (^[Y0 : $i > $i > $o]: ((trans @ Y0) & (asymm @ Y0))))),
0.21/0.39	  inference(cnf_transformation,[],[f50])).
0.21/0.39	thf(f50,plain,(
0.21/0.39	  (so = (^[Y0 : $i > $i > $o]: ((trans @ Y0) & (asymm @ Y0))))),
0.21/0.39	  inference(fool_elimination,[],[f49])).
0.21/0.39	thf(f49,plain,(
0.21/0.39	  ((^[X0 : $i > $i > $o] : ((asymm @ X0) & (trans @ X0))) = so)),
0.21/0.39	  inference(rectify,[],[f18])).
0.21/0.39	thf(f18,axiom,(
0.21/0.39	  ((^[X0 : $i > $i > $o] : ((asymm @ X0) & (trans @ X0))) = so)),
0.21/0.39	  file('/export/starexec/sandbox2/tmp/tmp.j5LRrUjz7W/Vampire---4.8_25195',strict_order)).
0.21/0.39	thf(f110,plain,(
0.21/0.39	  ($true = (so @ sK0))),
0.21/0.39	  inference(cnf_transformation,[],[f93])).
0.21/0.39	thf(f93,plain,(
0.21/0.39	  ((so @ (inv @ sK0)) != $true) & ($true = (so @ sK0))),
0.21/0.39	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f91,f92])).
0.21/0.39	thf(f92,plain,(
0.21/0.39	  ? [X0 : $i > $i > $o] : (((so @ (inv @ X0)) != $true) & ((so @ X0) = $true)) => (((so @ (inv @ sK0)) != $true) & ($true = (so @ sK0)))),
0.21/0.39	  introduced(choice_axiom,[])).
0.21/0.39	thf(f91,plain,(
0.21/0.39	  ? [X0 : $i > $i > $o] : (((so @ (inv @ X0)) != $true) & ((so @ X0) = $true))),
0.21/0.39	  inference(ennf_transformation,[],[f60])).
0.21/0.39	thf(f60,plain,(
0.21/0.39	  ~! [X0 : $i > $i > $o] : (((so @ X0) = $true) => ((so @ (inv @ X0)) = $true))),
0.21/0.39	  inference(fool_elimination,[],[f59])).
0.21/0.39	thf(f59,plain,(
0.21/0.39	  ~! [X0 : $i > $i > $o] : ((so @ X0) => (so @ (inv @ X0)))),
0.21/0.39	  inference(rectify,[],[f31])).
0.21/0.39	thf(f31,negated_conjecture,(
0.21/0.39	  ~! [X0 : $i > $i > $o] : ((so @ X0) => (so @ (inv @ X0)))),
0.21/0.39	  inference(negated_conjecture,[],[f30])).
0.21/0.39	thf(f30,conjecture,(
0.21/0.39	  ! [X0 : $i > $i > $o] : ((so @ X0) => (so @ (inv @ X0)))),
0.21/0.39	  file('/export/starexec/sandbox2/tmp/tmp.j5LRrUjz7W/Vampire---4.8_25195',inverse_of_strict_order_is_strict_order)).
0.21/0.39	thf(f206,plain,(
0.21/0.39	  ((sK0 @ sK6 @ sK4) = $true) | ~spl1_5),
0.21/0.39	  inference(avatar_component_clause,[],[f204])).
0.21/0.39	thf(f204,plain,(
0.21/0.39	  spl1_5 <=> ((sK0 @ sK6 @ sK4) = $true)),
0.21/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
0.21/0.39	thf(f201,plain,(
0.21/0.39	  ((sK0 @ sK4 @ sK5) = $true) | ~spl1_4),
0.21/0.39	  inference(avatar_component_clause,[],[f199])).
0.21/0.39	thf(f199,plain,(
0.21/0.39	  spl1_4 <=> ((sK0 @ sK4 @ sK5) = $true)),
0.21/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
0.21/0.39	thf(f221,plain,(
0.21/0.39	  ~spl1_2 | ~spl1_3),
0.21/0.39	  inference(avatar_contradiction_clause,[],[f220])).
0.21/0.39	thf(f220,plain,(
0.21/0.39	  $false | (~spl1_2 | ~spl1_3)),
0.21/0.39	  inference(trivial_inequality_removal,[],[f219])).
0.21/0.39	thf(f219,plain,(
0.21/0.39	  ($false = $true) | (~spl1_2 | ~spl1_3)),
0.21/0.39	  inference(backward_demodulation,[],[f196,f218])).
0.21/0.39	thf(f218,plain,(
0.21/0.39	  ($false = (sK0 @ sK2 @ sK3)) | ~spl1_2),
0.21/0.39	  inference(trivial_inequality_removal,[],[f216])).
0.21/0.39	thf(f216,plain,(
0.21/0.39	  ($false = $true) | ($false = (sK0 @ sK2 @ sK3)) | ~spl1_2),
0.21/0.39	  inference(superposition,[],[f183,f191])).
0.21/0.39	thf(f191,plain,(
0.21/0.39	  ((sK0 @ sK3 @ sK2) = $true) | ~spl1_2),
0.21/0.39	  inference(avatar_component_clause,[],[f189])).
0.21/0.39	thf(f189,plain,(
0.21/0.39	  spl1_2 <=> ((sK0 @ sK3 @ sK2) = $true)),
0.21/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.21/0.39	thf(f183,plain,(
0.21/0.39	  ( ! [X2 : $i,X1 : $i] : (((sK0 @ X2 @ X1) = $false) | ((sK0 @ X1 @ X2) = $false)) )),
0.21/0.39	  inference(not_proxy_clausification,[],[f182])).
0.21/0.39	thf(f182,plain,(
0.21/0.39	  ( ! [X2 : $i,X1 : $i] : (((sK0 @ X2 @ X1) = $false) | ((~ (sK0 @ X1 @ X2)) = $true)) )),
0.21/0.39	  inference(binary_proxy_clausification,[],[f181])).
0.21/0.39	thf(f181,plain,(
0.21/0.39	  ( ! [X2 : $i,X1 : $i] : ((((sK0 @ X2 @ X1) => (~ (sK0 @ X1 @ X2))) = $true)) )),
0.21/0.39	  inference(beta_eta_normalization,[],[f180])).
0.21/0.39	thf(f180,plain,(
0.21/0.39	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (~ (sK0 @ X1 @ Y0)))) @ X2) = $true)) )),
0.21/0.39	  inference(pi_clausification,[],[f179])).
0.21/0.39	thf(f179,plain,(
0.21/0.39	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK0 @ Y0 @ X1) => (~ (sK0 @ X1 @ Y0))))) = $true)) )),
0.21/0.39	  inference(beta_eta_normalization,[],[f178])).
0.21/0.39	thf(f178,plain,(
0.21/0.39	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (~ (sK0 @ Y0 @ Y1)))))) @ X1) = $true)) )),
0.21/0.39	  inference(pi_clausification,[],[f168])).
0.21/0.39	thf(f168,plain,(
0.21/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y1 @ Y0) => (~ (sK0 @ Y0 @ Y1))))))) = $true)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f167])).
0.21/0.39	thf(f196,plain,(
0.21/0.39	  ((sK0 @ sK2 @ sK3) = $true) | ~spl1_3),
0.21/0.39	  inference(avatar_component_clause,[],[f194])).
0.21/0.39	thf(f194,plain,(
0.21/0.39	  spl1_3 <=> ((sK0 @ sK2 @ sK3) = $true)),
0.21/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
0.21/0.39	thf(f209,plain,(
0.21/0.39	  spl1_3 | spl1_5),
0.21/0.39	  inference(avatar_split_clause,[],[f159,f204,f194])).
0.21/0.39	thf(f159,plain,(
0.21/0.39	  ((sK0 @ sK2 @ sK3) = $true) | ((sK0 @ sK6 @ sK4) = $true)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f157])).
0.21/0.39	thf(f157,plain,(
0.21/0.39	  ((sK0 @ sK2 @ sK3) = $true) | (((sK0 @ sK6 @ sK4) & (sK0 @ sK4 @ sK5)) = $true)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f155])).
0.21/0.39	thf(f155,plain,(
0.21/0.39	  (((sK0 @ sK2 @ sK3) => (~ (sK0 @ sK3 @ sK2))) = $false) | (((sK0 @ sK6 @ sK4) & (sK0 @ sK4 @ sK5)) = $true)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f153])).
0.21/0.39	thf(f153,plain,(
0.21/0.39	  ((((sK0 @ sK6 @ sK4) & (sK0 @ sK4 @ sK5)) => (sK0 @ sK6 @ sK5)) = $false) | (((sK0 @ sK2 @ sK3) => (~ (sK0 @ sK3 @ sK2))) = $false)),
0.21/0.39	  inference(beta_eta_normalization,[],[f152])).
0.21/0.39	thf(f152,plain,(
0.21/0.39	  (((sK0 @ sK2 @ sK3) => (~ (sK0 @ sK3 @ sK2))) = $false) | (((^[Y0 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ sK4 @ sK5)) => (sK0 @ Y0 @ sK5))) @ sK6) = $false)),
0.21/0.39	  inference(sigma_clausification,[],[f151])).
0.21/0.39	thf(f151,plain,(
0.21/0.39	  ((!! @ $i @ (^[Y0 : $i]: (((sK0 @ Y0 @ sK4) & (sK0 @ sK4 @ sK5)) => (sK0 @ Y0 @ sK5)))) = $false) | (((sK0 @ sK2 @ sK3) => (~ (sK0 @ sK3 @ sK2))) = $false)),
0.21/0.39	  inference(beta_eta_normalization,[],[f150])).
0.21/0.39	thf(f150,plain,(
0.21/0.39	  (((sK0 @ sK2 @ sK3) => (~ (sK0 @ sK3 @ sK2))) = $false) | ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ sK4) & (sK0 @ sK4 @ Y0)) => (sK0 @ Y1 @ Y0))))) @ sK5))),
0.21/0.39	  inference(sigma_clausification,[],[f149])).
0.21/0.39	thf(f149,plain,(
0.21/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK0 @ Y1 @ sK4) & (sK0 @ sK4 @ Y0)) => (sK0 @ Y1 @ Y0)))))) = $false) | (((sK0 @ sK2 @ sK3) => (~ (sK0 @ sK3 @ sK2))) = $false)),
0.21/0.39	  inference(beta_eta_normalization,[],[f148])).
0.21/0.39	thf(f148,plain,(
0.21/0.39	  ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y2 @ Y1))))))) @ sK4)) | (((sK0 @ sK2 @ sK3) => (~ (sK0 @ sK3 @ sK2))) = $false)),
0.21/0.39	  inference(sigma_clausification,[],[f147])).
0.21/0.39	thf(f147,plain,(
0.21/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y2 @ Y1)))))))) = $false) | (((sK0 @ sK2 @ sK3) => (~ (sK0 @ sK3 @ sK2))) = $false)),
0.21/0.39	  inference(beta_eta_normalization,[],[f146])).
0.21/0.39	thf(f146,plain,(
0.21/0.39	  (((^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (~ (sK0 @ Y0 @ sK2)))) @ sK3) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y2 @ Y1)))))))) = $false)),
0.21/0.39	  inference(sigma_clausification,[],[f145])).
0.21/0.39	thf(f145,plain,(
0.21/0.39	  ((!! @ $i @ (^[Y0 : $i]: ((sK0 @ sK2 @ Y0) => (~ (sK0 @ Y0 @ sK2))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y2 @ Y1)))))))) = $false)),
0.21/0.39	  inference(beta_eta_normalization,[],[f144])).
0.21/0.39	thf(f144,plain,(
0.21/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y2 @ Y1)))))))) = $false) | ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (~ (sK0 @ Y1 @ Y0)))))) @ sK2))),
0.21/0.39	  inference(sigma_clausification,[],[f143])).
0.21/0.39	thf(f143,plain,(
0.21/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (~ (sK0 @ Y1 @ Y0))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y2 @ Y1)))))))) = $false)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f142])).
0.21/0.39	thf(f142,plain,(
0.21/0.39	  ($true != ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK0 @ Y2 @ Y0) & (sK0 @ Y0 @ Y1)) => (sK0 @ Y2 @ Y1)))))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK0 @ Y0 @ Y1) => (~ (sK0 @ Y1 @ Y0)))))))))),
0.21/0.39	  inference(beta_eta_normalization,[],[f140])).
0.21/0.39	thf(f140,plain,(
0.21/0.39	  (((^[Y0 : $i > $i > $o]: (((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y2 @ Y4) & (Y1 @ Y3 @ Y2)) => (Y1 @ Y3 @ Y4))))))))) @ Y0) & ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (~ (Y1 @ Y2 @ Y3)))))))) @ Y0))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ sK0)) != $true)),
0.21/0.39	  inference(definition_unfolding,[],[f111,f131,f113])).
0.21/0.39	thf(f113,plain,(
0.21/0.39	  (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
0.21/0.39	  inference(cnf_transformation,[],[f84])).
0.21/0.39	thf(f84,plain,(
0.21/0.39	  (inv = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
0.21/0.39	  inference(fool_elimination,[],[f83])).
0.21/0.39	thf(f83,plain,(
0.21/0.39	  (inv = (^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (X0 @ X2 @ X1)))),
0.21/0.39	  inference(rectify,[],[f2])).
0.21/0.39	thf(f2,axiom,(
0.21/0.39	  (inv = (^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : (X0 @ X3 @ X2)))),
0.21/0.39	  file('/export/starexec/sandbox2/tmp/tmp.j5LRrUjz7W/Vampire---4.8_25195',inverse)).
0.21/0.39	thf(f111,plain,(
0.21/0.39	  ((so @ (inv @ sK0)) != $true)),
0.21/0.39	  inference(cnf_transformation,[],[f93])).
0.21/0.39	thf(f208,plain,(
0.21/0.39	  spl1_3 | spl1_4),
0.21/0.39	  inference(avatar_split_clause,[],[f158,f199,f194])).
0.21/0.39	thf(f158,plain,(
0.21/0.39	  ((sK0 @ sK4 @ sK5) = $true) | ((sK0 @ sK2 @ sK3) = $true)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f157])).
0.21/0.39	thf(f207,plain,(
0.21/0.39	  spl1_5 | spl1_2),
0.21/0.39	  inference(avatar_split_clause,[],[f162,f189,f204])).
0.21/0.39	thf(f162,plain,(
0.21/0.39	  ((sK0 @ sK3 @ sK2) = $true) | ((sK0 @ sK6 @ sK4) = $true)),
0.21/0.39	  inference(not_proxy_clausification,[],[f161])).
0.21/0.39	thf(f161,plain,(
0.21/0.39	  ($false = (~ (sK0 @ sK3 @ sK2))) | ((sK0 @ sK6 @ sK4) = $true)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f156])).
0.21/0.39	thf(f156,plain,(
0.21/0.39	  (((sK0 @ sK6 @ sK4) & (sK0 @ sK4 @ sK5)) = $true) | ($false = (~ (sK0 @ sK3 @ sK2)))),
0.21/0.39	  inference(binary_proxy_clausification,[],[f155])).
0.21/0.39	thf(f202,plain,(
0.21/0.39	  spl1_4 | spl1_2),
0.21/0.39	  inference(avatar_split_clause,[],[f163,f189,f199])).
0.21/0.39	thf(f163,plain,(
0.21/0.39	  ((sK0 @ sK3 @ sK2) = $true) | ((sK0 @ sK4 @ sK5) = $true)),
0.21/0.39	  inference(not_proxy_clausification,[],[f160])).
0.21/0.39	thf(f160,plain,(
0.21/0.39	  ((sK0 @ sK4 @ sK5) = $true) | ($false = (~ (sK0 @ sK3 @ sK2)))),
0.21/0.39	  inference(binary_proxy_clausification,[],[f156])).
0.21/0.39	thf(f197,plain,(
0.21/0.39	  spl1_1 | spl1_3),
0.21/0.39	  inference(avatar_split_clause,[],[f165,f194,f185])).
0.21/0.39	thf(f165,plain,(
0.21/0.39	  ((sK0 @ sK2 @ sK3) = $true) | ((sK0 @ sK6 @ sK5) = $false)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f154])).
0.21/0.39	thf(f154,plain,(
0.21/0.39	  (((sK0 @ sK2 @ sK3) => (~ (sK0 @ sK3 @ sK2))) = $false) | ((sK0 @ sK6 @ sK5) = $false)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f153])).
0.21/0.39	thf(f192,plain,(
0.21/0.39	  spl1_1 | spl1_2),
0.21/0.39	  inference(avatar_split_clause,[],[f166,f189,f185])).
0.21/0.39	thf(f166,plain,(
0.21/0.39	  ((sK0 @ sK3 @ sK2) = $true) | ((sK0 @ sK6 @ sK5) = $false)),
0.21/0.39	  inference(not_proxy_clausification,[],[f164])).
0.21/0.39	thf(f164,plain,(
0.21/0.39	  ((sK0 @ sK6 @ sK5) = $false) | ($false = (~ (sK0 @ sK3 @ sK2)))),
0.21/0.39	  inference(binary_proxy_clausification,[],[f154])).
0.21/0.39	% SZS output end Proof for Vampire---4
0.21/0.39	% (25417)------------------------------
0.21/0.39	% (25417)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.39	% (25417)Termination reason: Refutation
0.21/0.39	
0.21/0.39	% (25417)Memory used [KB]: 5756
0.21/0.39	% (25417)Time elapsed: 0.017 s
0.21/0.39	% (25417)Instructions burned: 20 (million)
0.21/0.39	% (25417)------------------------------
0.21/0.39	% (25417)------------------------------
0.21/0.39	% (25414)Success in time 0.03 s
0.21/0.39	% Vampire---4.8 exiting
0.21/0.39	EOF