0.05/0.13	% Problem    : Vampire---4.8_26353 : 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
0.16/0.36	% Computer : n026.cluster.edu
0.16/0.36	% Model    : x86_64 x86_64
0.16/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.16/0.36	% Memory   : 8042.1875MB
0.16/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.16/0.36	% CPULimit   : 1440
0.16/0.36	% WCLimit    : 180
0.16/0.36	% DateTime   : Mon Jul  3 13:08:07 EDT 2023
0.16/0.36	% CPUTime    : 
0.16/0.36	This is a THF_ problem
0.16/0.36	Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.MjpU36Iui5/Vampire---4.8_26353 -m 12000  -t 180
0.16/0.38	% (26583)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.16/0.38	% (26585)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)
0.16/0.38	% (26586)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)
0.16/0.38	% (26587)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.16/0.38	% (26584)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.16/0.38	% (26589)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)
0.16/0.38	% (26588)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)
0.16/0.38	% (26590)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)
0.16/0.38	% (26589)Instruction limit reached!
0.16/0.38	% (26589)------------------------------
0.16/0.38	% (26589)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.38	% (26589)Termination reason: Unknown
0.16/0.38	% (26589)Termination phase: shuffling
0.16/0.38	
0.16/0.38	% (26589)Memory used [KB]: 1023
0.16/0.38	% (26589)Time elapsed: 0.004 s
0.16/0.38	% (26589)Instructions burned: 4 (million)
0.16/0.38	% (26589)------------------------------
0.16/0.38	% (26589)------------------------------
0.16/0.39	% (26590)Refutation not found, incomplete strategy
0.16/0.39	% (26590)------------------------------
0.16/0.39	% (26590)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.39	% (26590)Termination reason: Refutation not found, incomplete strategy
0.16/0.39	
0.16/0.39	
0.16/0.39	% (26590)Memory used [KB]: 5628
0.16/0.39	% (26590)Time elapsed: 0.006 s
0.16/0.39	% (26590)Instructions burned: 9 (million)
0.16/0.39	% (26590)------------------------------
0.16/0.39	% (26590)------------------------------
0.16/0.39	% (26584)Refutation not found, incomplete strategy
0.16/0.39	% (26584)------------------------------
0.16/0.39	% (26584)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.39	% (26584)Termination reason: Refutation not found, incomplete strategy
0.16/0.39	
0.16/0.39	
0.16/0.39	% (26584)Memory used [KB]: 5628
0.16/0.39	% (26584)Time elapsed: 0.007 s
0.16/0.39	% (26584)Instructions burned: 11 (million)
0.16/0.39	% (26584)------------------------------
0.16/0.39	% (26584)------------------------------
0.16/0.39	% (26585)First to succeed.
0.16/0.39	% (26587)Also succeeded, but the first one will report.
0.16/0.39	% (26585)Refutation found. Thanks to Tanya!
0.16/0.39	% SZS status Theorem for Vampire---4
0.16/0.39	% SZS output start Proof for Vampire---4
0.16/0.39	thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
0.16/0.39	thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
0.16/0.39	thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
0.16/0.39	thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
0.16/0.39	thf(func_def_6, type, refl: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
0.16/0.39	thf(func_def_9, type, symm: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
0.16/0.39	thf(func_def_13, type, trans: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
0.16/0.39	thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
0.16/0.39	thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
0.16/0.39	thf(func_def_17, type, po: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_18, type, so: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_19, type, total: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_20, type, term: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_21, type, ind: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
0.16/0.39	thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
0.16/0.39	thf(func_def_24, type, norm: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
0.16/0.39	thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_28, type, confl: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_29, type, cr: ($i > $i > $o) > $o).
0.16/0.39	thf(func_def_47, type, sK1: $i > $i > $o).
0.16/0.39	thf(func_def_48, type, sK2: $i > $i > $o).
0.16/0.39	thf(f192,plain,(
0.16/0.39	  $false),
0.16/0.39	  inference(avatar_sat_refutation,[],[f167,f180,f191])).
0.16/0.39	thf(f191,plain,(
0.16/0.39	  ~spl0_1),
0.16/0.39	  inference(avatar_contradiction_clause,[],[f190])).
0.16/0.39	thf(f190,plain,(
0.16/0.39	  $false | ~spl0_1),
0.16/0.39	  inference(trivial_inequality_removal,[],[f189])).
0.16/0.39	thf(f189,plain,(
0.16/0.39	  ($false = $true) | ~spl0_1),
0.16/0.39	  inference(forward_demodulation,[],[f184,f157])).
0.16/0.39	thf(f157,plain,(
0.16/0.39	  ((sK1 @ sK4 @ sK3) = $false)),
0.16/0.39	  inference(binary_proxy_clausification,[],[f154])).
0.16/0.39	thf(f154,plain,(
0.16/0.39	  (((sK1 @ sK3 @ sK4) | (sK1 @ sK4 @ sK3)) = $false)),
0.16/0.39	  inference(binary_proxy_clausification,[],[f153])).
0.16/0.39	thf(f153,plain,(
0.16/0.39	  ((((sK2 @ sK3 @ sK4) | (sK2 @ sK4 @ sK3)) => ((sK1 @ sK3 @ sK4) | (sK1 @ sK4 @ sK3))) = $false)),
0.16/0.39	  inference(beta_eta_normalization,[],[f152])).
0.16/0.39	thf(f152,plain,(
0.16/0.39	  (((^[Y0 : $i]: (((sK2 @ sK3 @ Y0) | (sK2 @ Y0 @ sK3)) => ((sK1 @ sK3 @ Y0) | (sK1 @ Y0 @ sK3)))) @ sK4) = $false)),
0.16/0.39	  inference(sigma_clausification,[],[f151])).
0.16/0.39	thf(f151,plain,(
0.16/0.39	  ((!! @ $i @ (^[Y0 : $i]: (((sK2 @ sK3 @ Y0) | (sK2 @ Y0 @ sK3)) => ((sK1 @ sK3 @ Y0) | (sK1 @ Y0 @ sK3))))) = $false)),
0.16/0.39	  inference(beta_eta_normalization,[],[f150])).
0.16/0.39	thf(f150,plain,(
0.16/0.39	  (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y0 @ Y1) | (sK2 @ Y1 @ Y0)) => ((sK1 @ Y0 @ Y1) | (sK1 @ Y1 @ Y0)))))) @ sK3) = $false)),
0.16/0.39	  inference(sigma_clausification,[],[f143])).
0.16/0.39	thf(f143,plain,(
0.16/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y0 @ Y1) | (sK2 @ Y1 @ Y0)) => ((sK1 @ Y0 @ Y1) | (sK1 @ Y1 @ Y0))))))) = $false)),
0.16/0.39	  inference(binary_proxy_clausification,[],[f142])).
0.16/0.39	thf(f142,plain,(
0.16/0.39	  (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK1 @ Y1 @ Y0)))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((sK2 @ Y0 @ Y1) | (sK2 @ Y1 @ Y0)) => ((sK1 @ Y0 @ Y1) | (sK1 @ Y1 @ Y0)))))))) = $false)),
0.16/0.39	  inference(beta_eta_normalization,[],[f141])).
0.16/0.39	thf(f141,plain,(
0.16/0.39	  (((^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (sK1 @ Y2 @ Y1)))))) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)) => ((sK1 @ Y1 @ Y2) | (sK1 @ Y2 @ Y1))))))))) @ sK2) = $false)),
0.16/0.39	  inference(sigma_clausification,[],[f140])).
0.16/0.39	thf(f140,plain,(
0.16/0.39	  ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (sK1 @ Y2 @ Y1)))))) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y1 @ Y2) | (Y0 @ Y2 @ Y1)) => ((sK1 @ Y1 @ Y2) | (sK1 @ Y2 @ Y1)))))))))) = $false)),
0.16/0.39	  inference(beta_eta_normalization,[],[f139])).
0.16/0.39	thf(f139,plain,(
0.16/0.39	  (((^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (Y0 @ Y3 @ Y2)))))) => (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y2 @ Y3) | (Y1 @ Y3 @ Y2)) => ((Y0 @ Y2 @ Y3) | (Y0 @ Y3 @ Y2))))))))))) @ sK1) = $false)),
0.16/0.39	  inference(sigma_clausification,[],[f138])).
0.16/0.39	thf(f138,plain,(
0.16/0.39	  ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) => (Y0 @ Y3 @ Y2)))))) => (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y1 @ Y2 @ Y3) | (Y1 @ Y3 @ Y2)) => ((Y0 @ Y2 @ Y3) | (Y0 @ Y3 @ Y2)))))))))))) != $true)),
0.16/0.39	  inference(beta_eta_normalization,[],[f137])).
0.16/0.39	thf(f137,plain,(
0.16/0.39	  (((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5))))))))) @ Y2 @ Y1) => ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5))))))))) @ (Y0 @ Y2) @ (Y0 @ Y1)))))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2)))))))) != $true)),
0.16/0.39	  inference(definition_unfolding,[],[f103,f123,f111])).
0.16/0.39	thf(f111,plain,(
0.16/0.39	  (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))))),
0.16/0.39	  inference(cnf_transformation,[],[f78])).
0.16/0.39	thf(f78,plain,(
0.16/0.39	  (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))))),
0.16/0.39	  inference(fool_elimination,[],[f77])).
0.16/0.39	thf(f77,plain,(
0.16/0.39	  ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X0 @ X1 @ X2) | (X0 @ X2 @ X1))) = sc)),
0.16/0.39	  inference(rectify,[],[f12])).
0.16/0.39	thf(f12,axiom,(
0.16/0.39	  ((^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : ((X0 @ X2 @ X3) | (X0 @ X3 @ X2))) = sc)),
0.16/0.39	  file('/export/starexec/sandbox/tmp/tmp.MjpU36Iui5/Vampire---4.8_26353',symmetric_closure)).
0.16/0.39	thf(f123,plain,(
0.16/0.39	  (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5))))))))) @ Y2 @ Y1) => ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ Y6 @ Y5) => (Y4 @ Y6 @ Y5))))))))) @ (Y0 @ Y2) @ (Y0 @ Y1)))))))))),
0.16/0.39	  inference(definition_unfolding,[],[f99,f121,f121])).
0.16/0.39	thf(f121,plain,(
0.16/0.39	  (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
0.16/0.39	  inference(cnf_transformation,[],[f58])).
0.16/0.39	thf(f58,plain,(
0.16/0.39	  (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))))))),
0.16/0.39	  inference(fool_elimination,[],[f57])).
0.16/0.39	thf(f57,plain,(
0.16/0.39	  ((^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))) = subrel)),
0.16/0.39	  inference(rectify,[],[f1])).
0.16/0.39	thf(f1,axiom,(
0.16/0.39	  ((^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))) = subrel)),
0.16/0.39	  file('/export/starexec/sandbox/tmp/tmp.MjpU36Iui5/Vampire---4.8_26353',subrel)).
0.16/0.39	thf(f99,plain,(
0.16/0.39	  (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((subrel @ Y2 @ Y1) => (subrel @ (Y0 @ Y2) @ (Y0 @ Y1)))))))))),
0.16/0.39	  inference(cnf_transformation,[],[f44])).
0.16/0.39	thf(f44,plain,(
0.16/0.39	  (mono = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((subrel @ Y2 @ Y1) => (subrel @ (Y0 @ Y2) @ (Y0 @ Y1)))))))))),
0.16/0.39	  inference(fool_elimination,[],[f43])).
0.16/0.39	thf(f43,plain,(
0.16/0.39	  ((^[X0 : ($i > $i > $o) > $i > $i > $o] : (! [X1 : $i > $i > $o,X2 : $i > $i > $o] : ((subrel @ X1 @ X2) => (subrel @ (X0 @ X1) @ (X0 @ X2))))) = mono)),
0.16/0.39	  inference(rectify,[],[f5])).
0.16/0.39	thf(f5,axiom,(
0.16/0.39	  ((^[X4 : ($i > $i > $o) > $i > $i > $o] : (! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((subrel @ X0 @ X1) => (subrel @ (X4 @ X0) @ (X4 @ X1))))) = mono)),
0.16/0.39	  file('/export/starexec/sandbox/tmp/tmp.MjpU36Iui5/Vampire---4.8_26353',monotonic)).
0.16/0.39	thf(f103,plain,(
0.16/0.39	  ((mono @ sc) != $true)),
0.16/0.39	  inference(cnf_transformation,[],[f91])).
0.16/0.39	thf(f91,plain,(
0.16/0.39	  ((mono @ sc) != $true)),
0.16/0.39	  inference(flattening,[],[f84])).
0.16/0.39	thf(f84,plain,(
0.16/0.39	  ~((mono @ sc) = $true)),
0.16/0.39	  inference(fool_elimination,[],[f83])).
0.16/0.39	thf(f83,plain,(
0.16/0.39	  ~(mono @ sc)),
0.16/0.39	  inference(rectify,[],[f31])).
0.16/0.39	thf(f31,negated_conjecture,(
0.16/0.39	  ~(mono @ sc)),
0.16/0.39	  inference(negated_conjecture,[],[f30])).
0.16/0.39	thf(f30,conjecture,(
0.16/0.39	  (mono @ sc)),
0.16/0.39	  file('/export/starexec/sandbox/tmp/tmp.MjpU36Iui5/Vampire---4.8_26353',symmetric_closure_op_is_monotonic)).
0.16/0.39	thf(f184,plain,(
0.16/0.39	  ((sK1 @ sK4 @ sK3) = $true) | ~spl0_1),
0.16/0.39	  inference(trivial_inequality_removal,[],[f182])).
0.16/0.39	thf(f182,plain,(
0.16/0.39	  ((sK1 @ sK4 @ sK3) = $true) | ($false = $true) | ~spl0_1),
0.16/0.39	  inference(superposition,[],[f162,f149])).
0.16/0.39	thf(f149,plain,(
0.16/0.39	  ( ! [X2 : $i,X1 : $i] : (((sK2 @ X2 @ X1) = $false) | ((sK1 @ X2 @ X1) = $true)) )),
0.16/0.39	  inference(binary_proxy_clausification,[],[f148])).
0.16/0.39	thf(f148,plain,(
0.16/0.39	  ( ! [X2 : $i,X1 : $i] : ((((sK2 @ X2 @ X1) => (sK1 @ X2 @ X1)) = $true)) )),
0.16/0.39	  inference(beta_eta_normalization,[],[f147])).
0.16/0.39	thf(f147,plain,(
0.16/0.39	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK2 @ Y0 @ X1) => (sK1 @ Y0 @ X1))) @ X2) = $true)) )),
0.16/0.39	  inference(pi_clausification,[],[f146])).
0.16/0.39	thf(f146,plain,(
0.16/0.39	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ Y0 @ X1) => (sK1 @ Y0 @ X1)))) = $true)) )),
0.16/0.39	  inference(beta_eta_normalization,[],[f145])).
0.16/0.39	thf(f145,plain,(
0.16/0.39	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK1 @ Y1 @ Y0))))) @ X1) = $true)) )),
0.16/0.39	  inference(pi_clausification,[],[f144])).
0.16/0.39	thf(f144,plain,(
0.16/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y1 @ Y0) => (sK1 @ Y1 @ Y0)))))) = $true)),
0.16/0.39	  inference(binary_proxy_clausification,[],[f142])).
0.16/0.39	thf(f162,plain,(
0.16/0.39	  ((sK2 @ sK4 @ sK3) = $true) | ~spl0_1),
0.16/0.39	  inference(avatar_component_clause,[],[f160])).
0.16/0.39	thf(f160,plain,(
0.16/0.39	  spl0_1 <=> ((sK2 @ sK4 @ sK3) = $true)),
0.16/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.16/0.39	thf(f180,plain,(
0.16/0.39	  ~spl0_2),
0.16/0.39	  inference(avatar_contradiction_clause,[],[f179])).
0.16/0.39	thf(f179,plain,(
0.16/0.39	  $false | ~spl0_2),
0.16/0.39	  inference(trivial_inequality_removal,[],[f178])).
0.16/0.39	thf(f178,plain,(
0.16/0.39	  ($false = $true) | ~spl0_2),
0.16/0.39	  inference(forward_demodulation,[],[f173,f158])).
0.16/0.39	thf(f158,plain,(
0.16/0.39	  ((sK1 @ sK3 @ sK4) = $false)),
0.16/0.39	  inference(binary_proxy_clausification,[],[f154])).
0.16/0.39	thf(f173,plain,(
0.16/0.39	  ((sK1 @ sK3 @ sK4) = $true) | ~spl0_2),
0.16/0.39	  inference(trivial_inequality_removal,[],[f172])).
0.16/0.39	thf(f172,plain,(
0.16/0.39	  ($false = $true) | ((sK1 @ sK3 @ sK4) = $true) | ~spl0_2),
0.16/0.39	  inference(superposition,[],[f149,f166])).
0.16/0.39	thf(f166,plain,(
0.16/0.39	  ((sK2 @ sK3 @ sK4) = $true) | ~spl0_2),
0.16/0.39	  inference(avatar_component_clause,[],[f164])).
0.16/0.39	thf(f164,plain,(
0.16/0.39	  spl0_2 <=> ((sK2 @ sK3 @ sK4) = $true)),
0.16/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.16/0.39	thf(f167,plain,(
0.16/0.39	  spl0_1 | spl0_2),
0.16/0.39	  inference(avatar_split_clause,[],[f156,f164,f160])).
0.16/0.39	thf(f156,plain,(
0.16/0.39	  ((sK2 @ sK3 @ sK4) = $true) | ((sK2 @ sK4 @ sK3) = $true)),
0.16/0.39	  inference(binary_proxy_clausification,[],[f155])).
0.16/0.39	thf(f155,plain,(
0.16/0.39	  (((sK2 @ sK3 @ sK4) | (sK2 @ sK4 @ sK3)) = $true)),
0.16/0.39	  inference(binary_proxy_clausification,[],[f153])).
0.16/0.39	% SZS output end Proof for Vampire---4
0.16/0.39	% (26585)------------------------------
0.16/0.39	% (26585)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.39	% (26585)Termination reason: Refutation
0.16/0.39	
0.16/0.39	% (26585)Memory used [KB]: 5628
0.16/0.39	% (26585)Time elapsed: 0.011 s
0.16/0.39	% (26585)Instructions burned: 12 (million)
0.16/0.39	% (26585)------------------------------
0.16/0.39	% (26585)------------------------------
0.16/0.39	% (26582)Success in time 0.024 s
0.16/0.39	% Vampire---4.8 exiting
0.16/0.40	EOF