0.03/0.12	% Problem    : Vampire---4.8_15895 : 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
0.14/0.35	% Computer : n029.cluster.edu
0.14/0.35	% Model    : x86_64 x86_64
0.14/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory   : 8042.1875MB
0.14/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1440
0.14/0.35	% WCLimit    : 180
0.14/0.35	% DateTime   : Mon Jul  3 13:24:57 EDT 2023
0.14/0.35	% CPUTime    : 
0.20/0.35	This is a THF_ problem
0.20/0.36	Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.vpDKY8bkNF/Vampire---4.8_15895 -m 12000  -t 180
0.20/0.38	% (16006)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)
0.20/0.38	% (16004)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.20/0.38	% (16008)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)
0.20/0.38	% (16009)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)
0.20/0.38	% (16007)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.20/0.38	% (16003)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.20/0.38	% (16009)Instruction limit reached!
0.20/0.38	% (16009)------------------------------
0.20/0.38	% (16009)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.38	% (16009)Termination reason: Unknown
0.20/0.38	% (16009)Termination phase: shuffling
0.20/0.38	
0.20/0.38	% (16009)Memory used [KB]: 1023
0.20/0.38	% (16009)Time elapsed: 0.004 s
0.20/0.38	% (16009)Instructions burned: 4 (million)
0.20/0.38	% (16009)------------------------------
0.20/0.38	% (16009)------------------------------
0.20/0.38	% (16005)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)
0.20/0.38	% (16004)Refutation not found, incomplete strategy
0.20/0.38	% (16004)------------------------------
0.20/0.38	% (16004)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.38	% (16004)Termination reason: Refutation not found, incomplete strategy
0.20/0.38	
0.20/0.38	
0.20/0.38	% (16004)Memory used [KB]: 5628
0.20/0.38	% (16004)Time elapsed: 0.008 s
0.20/0.38	% (16004)Instructions burned: 12 (million)
0.20/0.38	% (16004)------------------------------
0.20/0.38	% (16004)------------------------------
0.20/0.38	% (16007)Instruction limit reached!
0.20/0.38	% (16007)------------------------------
0.20/0.38	% (16007)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.38	% (16007)Termination reason: Unknown
0.20/0.38	% (16007)Termination phase: Saturation
0.20/0.38	
0.20/0.38	% (16007)Memory used [KB]: 5628
0.20/0.38	% (16007)Time elapsed: 0.010 s
0.20/0.38	% (16007)Instructions burned: 17 (million)
0.20/0.38	% (16007)------------------------------
0.20/0.38	% (16007)------------------------------
0.20/0.39	% (16006)First to succeed.
0.20/0.39	% (16010)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)
0.20/0.39	% (16006)Refutation found. Thanks to Tanya!
0.20/0.39	% SZS status Theorem for Vampire---4
0.20/0.39	% SZS output start Proof for Vampire---4
0.20/0.39	thf(func_def_0, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_2, type, inv: ($i > $i > $o) > $i > $i > $o).
0.20/0.39	thf(func_def_3, type, idem: (($i > $i > $o) > $i > $i > $o) > $o).
0.20/0.39	thf(func_def_4, type, infl: (($i > $i > $o) > $i > $i > $o) > $o).
0.20/0.39	thf(func_def_5, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
0.20/0.39	thf(func_def_6, type, refl: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_7, type, irrefl: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_8, type, rc: ($i > $i > $o) > $i > $i > $o).
0.20/0.39	thf(func_def_9, type, symm: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_10, type, antisymm: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_11, type, asymm: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_12, type, sc: ($i > $i > $o) > $i > $i > $o).
0.20/0.39	thf(func_def_13, type, trans: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_14, type, tc: ($i > $i > $o) > $i > $i > $o).
0.20/0.39	thf(func_def_15, type, trc: ($i > $i > $o) > $i > $i > $o).
0.20/0.39	thf(func_def_16, type, trsc: ($i > $i > $o) > $i > $i > $o).
0.20/0.39	thf(func_def_17, type, po: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_18, type, so: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_19, type, total: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_20, type, term: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_21, type, ind: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_22, type, innf: ($i > $i > $o) > $i > $o).
0.20/0.39	thf(func_def_23, type, nfof: ($i > $i > $o) > $i > $i > $o).
0.20/0.39	thf(func_def_24, type, norm: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_25, type, join: ($i > $i > $o) > $i > $i > $o).
0.20/0.39	thf(func_def_26, type, lconfl: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_27, type, sconfl: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_28, type, confl: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_29, type, cr: ($i > $i > $o) > $o).
0.20/0.39	thf(func_def_48, type, sK1: $i > $i > $o).
0.20/0.39	thf(func_def_51, type, sK4: $i > $i > $o).
0.20/0.39	thf(func_def_52, type, sK5: $i > $i > $o).
0.20/0.39	thf(f200,plain,(
0.20/0.39	  $false),
0.20/0.39	  inference(trivial_inequality_removal,[],[f199])).
0.20/0.39	thf(f199,plain,(
0.20/0.39	  ($true = $false)),
0.20/0.39	  inference(backward_demodulation,[],[f144,f198])).
0.20/0.39	thf(f198,plain,(
0.20/0.39	  ((sK1 @ sK2 @ sK3) = $false)),
0.20/0.39	  inference(trivial_inequality_removal,[],[f196])).
0.20/0.39	thf(f196,plain,(
0.20/0.39	  ((sK1 @ sK2 @ sK3) = $false) | ($true = $false)),
0.20/0.39	  inference(superposition,[],[f173,f181])).
0.20/0.39	thf(f181,plain,(
0.20/0.39	  ( ! [X2 : $i,X1 : $i] : (($true = (sK5 @ X1 @ X2)) | ((sK1 @ X1 @ X2) = $false)) )),
0.20/0.39	  inference(binary_proxy_clausification,[],[f180])).
0.20/0.39	thf(f180,plain,(
0.20/0.39	  ( ! [X2 : $i,X1 : $i] : ((((sK1 @ X1 @ X2) => (sK5 @ X1 @ X2)) = $true)) )),
0.20/0.39	  inference(beta_eta_normalization,[],[f179])).
0.20/0.39	thf(f179,plain,(
0.20/0.39	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK5 @ X1 @ Y0))) @ X2) = $true)) )),
0.20/0.39	  inference(pi_clausification,[],[f178])).
0.20/0.39	thf(f178,plain,(
0.20/0.39	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK5 @ X1 @ Y0)))) = $true)) )),
0.20/0.39	  inference(beta_eta_normalization,[],[f177])).
0.20/0.39	thf(f177,plain,(
0.20/0.39	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK5 @ Y0 @ Y1))))) @ X1) = $true)) )),
0.20/0.39	  inference(pi_clausification,[],[f176])).
0.20/0.39	thf(f176,plain,(
0.20/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK5 @ Y0 @ Y1)))))) = $true)),
0.20/0.39	  inference(binary_proxy_clausification,[],[f174])).
0.20/0.39	thf(f174,plain,(
0.20/0.39	  ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK5 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK5 @ Y1 @ Y0) & (sK5 @ Y0 @ Y2)) => (sK5 @ Y1 @ Y2))))))))))),
0.20/0.39	  inference(binary_proxy_clausification,[],[f172])).
0.20/0.39	thf(f172,plain,(
0.20/0.39	  ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (sK5 @ Y0 @ Y1)))))) & (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((sK5 @ Y1 @ Y0) & (sK5 @ Y0 @ Y2)) => (sK5 @ Y1 @ Y2))))))))) => (sK5 @ sK2 @ sK3)) = $false)),
0.20/0.39	  inference(beta_eta_normalization,[],[f171])).
0.20/0.39	thf(f171,plain,(
0.20/0.39	  (((^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK2 @ sK3))) @ sK5) = $false)),
0.20/0.39	  inference(sigma_clausification,[],[f170])).
0.20/0.39	thf(f170,plain,(
0.20/0.39	  ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK2 @ sK3)))) = $false)),
0.20/0.39	  inference(binary_proxy_clausification,[],[f145])).
0.20/0.39	thf(f145,plain,(
0.20/0.39	  (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK2 @ sK3)))) | (sK2 = sK3)) = $false)),
0.20/0.39	  inference(binary_proxy_clausification,[],[f143])).
0.20/0.39	thf(f143,plain,(
0.20/0.39	  ((((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK3 @ sK2)))) | (sK3 = sK2)) | ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK2 @ sK3)))) | (sK2 = sK3))) = $false)),
0.20/0.39	  inference(binary_proxy_clausification,[],[f142])).
0.20/0.39	thf(f142,plain,(
0.20/0.39	  (((sK1 @ sK2 @ sK3) => (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK3 @ sK2)))) | (sK3 = sK2)) | ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y2 @ Y3))))))))) => (Y0 @ sK2 @ sK3)))) | (sK2 = sK3)))) = $false)),
0.20/0.39	  inference(beta_eta_normalization,[],[f141])).
0.20/0.39	thf(f141,plain,(
0.20/0.39	  (((^[Y0 : $i]: ((sK1 @ sK2 @ Y0) => (((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK1 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ Y0 @ sK2)))) | (Y0 = sK2)) | ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK1 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK2 @ Y0)))) | (sK2 = Y0))))) @ sK3) = $false)),
0.20/0.39	  inference(sigma_clausification,[],[f140])).
0.20/0.39	thf(f140,plain,(
0.20/0.39	  ((!! @ $i @ (^[Y0 : $i]: ((sK1 @ sK2 @ Y0) => (((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK1 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ Y0 @ sK2)))) | (Y0 = sK2)) | ((!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((sK1 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3)))))) & (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (((Y1 @ Y3 @ Y2) & (Y1 @ Y2 @ Y4)) => (Y1 @ Y3 @ Y4))))))))) => (Y1 @ sK2 @ Y0)))) | (sK2 = Y0)))))) = $false)),
0.20/0.39	  inference(beta_eta_normalization,[],[f139])).
0.20/0.39	thf(f139,plain,(
0.20/0.39	  (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK1 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y4 @ Y3) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y1 @ Y0)))) | (Y1 = Y0)) | ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK1 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y4 @ Y3) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1)))) | (Y0 = Y1))))))) @ sK2) = $false)),
0.20/0.39	  inference(sigma_clausification,[],[f138])).
0.20/0.39	thf(f138,plain,(
0.20/0.39	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((sK1 @ Y0 @ Y1) => (((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK1 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y4 @ Y3) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y1 @ Y0)))) | (Y1 = Y0)) | ((!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: (((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((sK1 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (((Y2 @ Y4 @ Y3) & (Y2 @ Y3 @ Y5)) => (Y2 @ Y4 @ Y5))))))))) => (Y2 @ Y0 @ Y1)))) | (Y0 = Y1)))))))) = $false)),
0.20/0.39	  inference(beta_eta_normalization,[],[f137])).
0.20/0.39	thf(f137,plain,(
0.20/0.39	  (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y4) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y5 @ Y6))))))))) => (Y3 @ Y2 @ Y1)))) | (Y2 = Y1)) | ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y4) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y5 @ Y6))))))))) => (Y3 @ Y1 @ Y2)))) | (Y1 = Y2))))))))) @ sK1) = $false)),
0.20/0.39	  inference(sigma_clausification,[],[f136])).
0.20/0.39	thf(f136,plain,(
0.20/0.39	  ((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y4) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y5 @ Y6))))))))) => (Y3 @ Y2 @ Y1)))) | (Y2 = Y1)) | ((!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5)))))) & (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (((Y3 @ Y5 @ Y4) & (Y3 @ Y4 @ Y6)) => (Y3 @ Y5 @ Y6))))))))) => (Y3 @ Y1 @ Y2)))) | (Y1 = Y2)))))))))) != $true)),
0.20/0.39	  inference(beta_eta_normalization,[],[f135])).
0.20/0.39	thf(f135,plain,(
0.20/0.39	  (((^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))))) @ Y1 @ (Y0 @ Y1))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (Y1 @ Y2 @ Y3))))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y2 @ Y3) | (Y2 = Y3))))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: ((((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $i > $o]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))))) @ Y1 @ Y4) & ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y7 @ Y6) & (Y5 @ Y6 @ Y8)) => (Y5 @ Y7 @ Y8))))))))) @ Y4)) => (Y4 @ Y2 @ Y3))))))))) @ Y0))))) != $true)),
0.20/0.39	  inference(definition_unfolding,[],[f110,f120,f124])).
0.20/0.39	thf(f124,plain,(
0.20/0.39	  (trsc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y3 @ Y2) | (Y1 @ Y2 @ Y3))))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((Y1 @ Y2 @ Y3) | (Y2 = Y3))))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ ($i > $i > $o) @ (^[Y4 : $i > $i > $o]: ((((^[Y5 : $i > $i > $o]: ((^[Y6 : $i > $i > $o]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((Y5 @ Y7 @ Y8) => (Y6 @ Y7 @ Y8))))))))) @ Y1 @ Y4) & ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((Y5 @ Y7 @ Y6) & (Y5 @ Y6 @ Y8)) => (Y5 @ Y7 @ Y8))))))))) @ Y4)) => (Y4 @ Y2 @ Y3))))))))) @ Y0)))))),
0.20/0.39	  inference(definition_unfolding,[],[f116,f100,f107,f122])).
0.20/0.39	thf(f122,plain,(
0.20/0.39	  (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: ((((^[Y4 : $i > $i > $o]: ((^[Y5 : $i > $i > $o]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((Y4 @ Y6 @ Y7) => (Y5 @ Y6 @ Y7))))))))) @ Y0 @ Y3) & ((^[Y4 : $i > $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (((Y4 @ Y6 @ Y5) & (Y4 @ Y5 @ Y7)) => (Y4 @ Y6 @ Y7))))))))) @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
0.20/0.39	  inference(definition_unfolding,[],[f108,f98,f92])).
0.20/0.39	thf(f92,plain,(
0.20/0.39	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y2 @ Y3))))))))))),
0.20/0.39	  inference(cnf_transformation,[],[f50])).
0.20/0.39	thf(f50,plain,(
0.20/0.39	  (trans = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y2 @ Y1) & (Y0 @ Y1 @ Y3)) => (Y0 @ Y2 @ Y3))))))))))),
0.20/0.39	  inference(fool_elimination,[],[f49])).
0.20/0.39	thf(f49,plain,(
0.20/0.39	  (trans = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X3 @ X1) & (X0 @ X2 @ X3)) => (X0 @ X2 @ X1)))))),
0.20/0.39	  inference(rectify,[],[f13])).
0.20/0.39	thf(f13,axiom,(
0.20/0.39	  (trans = (^[X0 : $i > $i > $o] : (! [X5,X2,X3] : (((X0 @ X3 @ X5) & (X0 @ X2 @ X3)) => (X0 @ X2 @ X5)))))),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.vpDKY8bkNF/Vampire---4.8_15895',transitive)).
0.20/0.39	thf(f98,plain,(
0.20/0.39	  (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
0.20/0.39	  inference(cnf_transformation,[],[f56])).
0.20/0.39	thf(f56,plain,(
0.20/0.39	  (subrel = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y2 @ Y3))))))))))),
0.20/0.39	  inference(fool_elimination,[],[f55])).
0.20/0.39	thf(f55,plain,(
0.20/0.39	  ((^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X2,X3] : ((X0 @ X3 @ X2) => (X1 @ X3 @ X2)))) = subrel)),
0.20/0.39	  inference(rectify,[],[f1])).
0.20/0.39	thf(f1,axiom,(
0.20/0.39	  ((^[X0 : $i > $i > $o, X1 : $i > $i > $o] : (! [X3,X2] : ((X0 @ X2 @ X3) => (X1 @ X2 @ X3)))) = subrel)),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.vpDKY8bkNF/Vampire---4.8_15895',subrel)).
0.20/0.39	thf(f108,plain,(
0.20/0.39	  (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
0.20/0.39	  inference(cnf_transformation,[],[f40])).
0.20/0.39	thf(f40,plain,(
0.20/0.39	  (tc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (!! @ ($i > $i > $o) @ (^[Y3 : $i > $i > $o]: (((subrel @ Y0 @ Y3) & (trans @ Y3)) => (Y3 @ Y1 @ Y2))))))))))),
0.20/0.39	  inference(fool_elimination,[],[f39])).
0.20/0.39	thf(f39,plain,(
0.20/0.39	  ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : (! [X3 : $i > $i > $o] : (((trans @ X3) & (subrel @ X0 @ X3)) => (X3 @ X1 @ X2)))) = tc)),
0.20/0.39	  inference(rectify,[],[f14])).
0.20/0.39	thf(f14,axiom,(
0.20/0.39	  ((^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : (! [X1 : $i > $i > $o] : (((trans @ X1) & (subrel @ X0 @ X1)) => (X1 @ X2 @ X3)))) = tc)),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.vpDKY8bkNF/Vampire---4.8_15895',transitive_closure)).
0.20/0.39	thf(f107,plain,(
0.20/0.39	  (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))))),
0.20/0.39	  inference(cnf_transformation,[],[f52])).
0.20/0.39	thf(f52,plain,(
0.20/0.39	  (rc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y1 @ Y2) | (Y1 = Y2))))))))),
0.20/0.39	  inference(fool_elimination,[],[f51])).
0.20/0.39	thf(f51,plain,(
0.20/0.39	  (rc = (^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X1 = X2) | (X0 @ X1 @ X2))))),
0.20/0.39	  inference(rectify,[],[f8])).
0.20/0.39	thf(f8,axiom,(
0.20/0.39	  (rc = (^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : ((X2 = X3) | (X0 @ X2 @ X3))))),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.vpDKY8bkNF/Vampire---4.8_15895',reflexive_closure)).
0.20/0.39	thf(f100,plain,(
0.20/0.39	  (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))))),
0.20/0.39	  inference(cnf_transformation,[],[f80])).
0.20/0.39	thf(f80,plain,(
0.20/0.39	  (sc = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ Y2))))))))),
0.20/0.39	  inference(fool_elimination,[],[f79])).
0.20/0.39	thf(f79,plain,(
0.20/0.39	  ((^[X0 : $i > $i > $o, X1 : $i, X2 : $i] : ((X0 @ X1 @ X2) | (X0 @ X2 @ X1))) = sc)),
0.20/0.39	  inference(rectify,[],[f12])).
0.20/0.39	thf(f12,axiom,(
0.20/0.39	  ((^[X0 : $i > $i > $o, X2 : $i, X3 : $i] : ((X0 @ X2 @ X3) | (X0 @ X3 @ X2))) = sc)),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.vpDKY8bkNF/Vampire---4.8_15895',symmetric_closure)).
0.20/0.39	thf(f116,plain,(
0.20/0.39	  (trsc = (^[Y0 : $i > $i > $o]: (sc @ (rc @ (tc @ Y0)))))),
0.20/0.39	  inference(cnf_transformation,[],[f57])).
0.20/0.39	thf(f57,plain,(
0.20/0.39	  (trsc = (^[Y0 : $i > $i > $o]: (sc @ (rc @ (tc @ Y0)))))),
0.20/0.39	  inference(fool_elimination,[],[f16])).
0.20/0.39	thf(f16,axiom,(
0.20/0.39	  (trsc = (^[X0 : $i > $i > $o] : (sc @ (rc @ (tc @ X0)))))),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.vpDKY8bkNF/Vampire---4.8_15895',transitive_reflexive_symmetric_closure)).
0.20/0.39	thf(f120,plain,(
0.20/0.39	  (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y4 @ Y5))))))))) @ Y1 @ (Y0 @ Y1))))))),
0.20/0.39	  inference(definition_unfolding,[],[f95,f98])).
0.20/0.39	thf(f95,plain,(
0.20/0.39	  (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (subrel @ Y1 @ (Y0 @ Y1))))))),
0.20/0.39	  inference(cnf_transformation,[],[f84])).
0.20/0.39	thf(f84,plain,(
0.20/0.39	  (infl = (^[Y0 : ($i > $i > $o) > $i > $i > $o]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (subrel @ Y1 @ (Y0 @ Y1))))))),
0.20/0.39	  inference(fool_elimination,[],[f83])).
0.20/0.39	thf(f83,plain,(
0.20/0.39	  (infl = (^[X0 : ($i > $i > $o) > $i > $i > $o] : (! [X1 : $i > $i > $o] : (subrel @ X1 @ (X0 @ X1)))))),
0.20/0.39	  inference(rectify,[],[f4])).
0.20/0.39	thf(f4,axiom,(
0.20/0.39	  (infl = (^[X4 : ($i > $i > $o) > $i > $i > $o] : (! [X0 : $i > $i > $o] : (subrel @ X0 @ (X4 @ X0)))))),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.vpDKY8bkNF/Vampire---4.8_15895',inflationary)).
0.20/0.39	thf(f110,plain,(
0.20/0.39	  ((infl @ trsc) != $true)),
0.20/0.39	  inference(cnf_transformation,[],[f91])).
0.20/0.39	thf(f91,plain,(
0.20/0.39	  ((infl @ trsc) != $true)),
0.20/0.39	  inference(flattening,[],[f78])).
0.20/0.39	thf(f78,plain,(
0.20/0.39	  ~((infl @ trsc) = $true)),
0.20/0.39	  inference(fool_elimination,[],[f77])).
0.20/0.39	thf(f77,plain,(
0.20/0.39	  ~(infl @ trsc)),
0.20/0.39	  inference(rectify,[],[f31])).
0.20/0.39	thf(f31,negated_conjecture,(
0.20/0.39	  ~(infl @ trsc)),
0.20/0.39	  inference(negated_conjecture,[],[f30])).
0.20/0.39	thf(f30,conjecture,(
0.20/0.39	  (infl @ trsc)),
0.20/0.39	  file('/export/starexec/sandbox2/tmp/tmp.vpDKY8bkNF/Vampire---4.8_15895',transitive_reflexive_symmetric_closure_op_is_inflationary)).
0.20/0.39	thf(f173,plain,(
0.20/0.39	  ((sK5 @ sK2 @ sK3) = $false)),
0.20/0.39	  inference(binary_proxy_clausification,[],[f172])).
0.20/0.39	thf(f144,plain,(
0.20/0.39	  ((sK1 @ sK2 @ sK3) = $true)),
0.20/0.39	  inference(binary_proxy_clausification,[],[f142])).
0.20/0.39	% SZS output end Proof for Vampire---4
0.20/0.39	% (16006)------------------------------
0.20/0.39	% (16006)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.39	% (16006)Termination reason: Refutation
0.20/0.39	
0.20/0.39	% (16006)Memory used [KB]: 5756
0.20/0.39	% (16006)Time elapsed: 0.016 s
0.20/0.39	% (16006)Instructions burned: 19 (million)
0.20/0.39	% (16006)------------------------------
0.20/0.39	% (16006)------------------------------
0.20/0.39	% (16002)Success in time 0.03 s
0.20/0.39	% Vampire---4.8 exiting
0.20/0.39	EOF