0.12/0.12	% Problem    : Vampire---4.8_28850 : TPTP v0.0.0. Released v0.0.0.
0.12/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.14/0.35	% Computer : n021.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 12:59:52 EDT 2023
0.14/0.35	% CPUTime    : 
0.14/0.35	This is a THF_ problem
0.14/0.35	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.WHNNyWbzgP/Vampire---4.8_28850 -m 12000  -t 180
0.14/0.37	% (29058)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)
0.14/0.37	% (29057)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)
0.14/0.37	% (29059)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.14/0.37	% (29061)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)
0.14/0.37	% (29055)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.14/0.37	% (29062)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)
0.14/0.38	% (29063)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)
0.14/0.38	% (29062)Instruction limit reached!
0.14/0.38	% (29062)------------------------------
0.14/0.38	% (29062)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.38	% (29062)Termination reason: Unknown
0.14/0.38	% (29062)Termination phase: Property scanning
0.14/0.38	
0.14/0.38	% (29062)Memory used [KB]: 1023
0.14/0.38	% (29062)Time elapsed: 0.004 s
0.14/0.38	% (29062)Instructions burned: 4 (million)
0.14/0.38	% (29062)------------------------------
0.14/0.38	% (29062)------------------------------
0.14/0.38	% (29056)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.14/0.38	% (29063)Refutation not found, incomplete strategy
0.14/0.38	% (29063)------------------------------
0.14/0.38	% (29063)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.38	% (29063)Termination reason: Refutation not found, incomplete strategy
0.14/0.38	
0.14/0.38	
0.14/0.38	% (29063)Memory used [KB]: 5628
0.14/0.38	% (29063)Time elapsed: 0.009 s
0.14/0.38	% (29063)Instructions burned: 10 (million)
0.14/0.38	% (29063)------------------------------
0.14/0.38	% (29063)------------------------------
0.14/0.39	% (29059)Instruction limit reached!
0.14/0.39	% (29059)------------------------------
0.14/0.39	% (29059)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.39	% (29059)Termination reason: Unknown
0.14/0.39	% (29059)Termination phase: Saturation
0.14/0.39	
0.14/0.39	% (29059)Memory used [KB]: 5756
0.14/0.39	% (29059)Time elapsed: 0.013 s
0.14/0.39	% (29059)Instructions burned: 18 (million)
0.14/0.39	% (29059)------------------------------
0.14/0.39	% (29059)------------------------------
0.14/0.39	% (29057)First to succeed.
0.14/0.39	% (29056)Refutation not found, incomplete strategy
0.14/0.39	% (29056)------------------------------
0.14/0.39	% (29056)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.39	% (29056)Termination reason: Refutation not found, incomplete strategy
0.14/0.39	
0.14/0.39	
0.14/0.39	% (29056)Memory used [KB]: 5500
0.14/0.39	% (29056)Time elapsed: 0.011 s
0.14/0.39	% (29056)Instructions burned: 9 (million)
0.14/0.39	% (29056)------------------------------
0.14/0.39	% (29056)------------------------------
0.14/0.39	% (29066)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)
0.14/0.39	% (29058)Also succeeded, but the first one will report.
0.14/0.39	% (29057)Refutation found. Thanks to Tanya!
0.14/0.39	% SZS status Theorem for Vampire---4
0.14/0.39	% SZS output start Proof for Vampire---4
0.14/0.39	thf(func_def_0, type, in: $i > $i > $o).
0.14/0.39	thf(func_def_1, type, kpair: $i > $i > $i).
0.14/0.39	thf(func_def_2, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
0.14/0.39	thf(func_def_5, type, func: $i > $i > $i > $o).
0.14/0.39	thf(func_def_6, type, ap: $i > $i > $i > $i > $i).
0.14/0.39	thf(func_def_7, type, lam: $i > $i > ($i > $i) > $i).
0.14/0.39	thf(func_def_23, type, sK1: $i > $i).
0.14/0.39	thf(func_def_27, type, sK5: $i > ($i > $i) > $i > $i).
0.14/0.39	thf(func_def_28, type, ph6: !>[X0: $tType]:(X0)).
0.14/0.39	thf(f168,plain,(
0.14/0.39	  $false),
0.14/0.39	  inference(avatar_sat_refutation,[],[f96,f124,f150,f153,f166])).
0.14/0.39	thf(f166,plain,(
0.14/0.39	  ~spl4_3),
0.14/0.39	  inference(avatar_contradiction_clause,[],[f165])).
0.14/0.39	thf(f165,plain,(
0.14/0.39	  $false | ~spl4_3),
0.14/0.39	  inference(trivial_inequality_removal,[],[f164])).
0.14/0.39	thf(f164,plain,(
0.14/0.39	  ($true != $true) | ((sK1 @ sK3) != (sK1 @ sK3)) | ~spl4_3),
0.14/0.39	  inference(superposition,[],[f162,f29])).
0.14/0.39	thf(f29,plain,(
0.14/0.39	  ($true = (in @ sK3 @ sK2))),
0.14/0.39	  inference(cnf_transformation,[],[f23])).
0.14/0.39	thf(f23,plain,(
0.14/0.39	  (funcGraphProp2 = $true) & (dpsetconstrI = $true) & (lamp = $true) & ((((ap @ sK2 @ sK0 @ (lam @ sK2 @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0))) @ sK3) != (sK1 @ sK3)) & ($true = (in @ sK3 @ sK2))) & ! [X4] : (((in @ X4 @ sK2) != $true) | ((in @ (sK1 @ X4) @ sK0) = $true)))),
0.14/0.39	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f20,f22,f21])).
0.14/0.39	thf(f21,plain,(
0.14/0.39	  ? [X0,X1 : $i > $i,X2] : (? [X3] : (((X1 @ X3) != (ap @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X3)) & ($true = (in @ X3 @ X2))) & ! [X4] : (($true != (in @ X4 @ X2)) | ($true = (in @ (X1 @ X4) @ X0)))) => (? [X3] : (((ap @ sK2 @ sK0 @ (lam @ sK2 @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0))) @ X3) != (sK1 @ X3)) & ($true = (in @ X3 @ sK2))) & ! [X4] : (((in @ X4 @ sK2) != $true) | ((in @ (sK1 @ X4) @ sK0) = $true)))),
0.14/0.39	  introduced(choice_axiom,[])).
0.14/0.39	thf(f22,plain,(
0.14/0.39	  ? [X3] : (((ap @ sK2 @ sK0 @ (lam @ sK2 @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0))) @ X3) != (sK1 @ X3)) & ($true = (in @ X3 @ sK2))) => (((ap @ sK2 @ sK0 @ (lam @ sK2 @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0))) @ sK3) != (sK1 @ sK3)) & ($true = (in @ sK3 @ sK2)))),
0.14/0.39	  introduced(choice_axiom,[])).
0.14/0.39	thf(f20,plain,(
0.14/0.39	  (funcGraphProp2 = $true) & (dpsetconstrI = $true) & (lamp = $true) & ? [X0,X1 : $i > $i,X2] : (? [X3] : (((X1 @ X3) != (ap @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X3)) & ($true = (in @ X3 @ X2))) & ! [X4] : (($true != (in @ X4 @ X2)) | ($true = (in @ (X1 @ X4) @ X0))))),
0.14/0.39	  inference(rectify,[],[f19])).
0.14/0.39	thf(f19,plain,(
0.14/0.39	  (funcGraphProp2 = $true) & (dpsetconstrI = $true) & (lamp = $true) & ? [X0,X1 : $i > $i,X2] : (? [X4] : (((X1 @ X4) != (ap @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X4)) & ($true = (in @ X4 @ X2))) & ! [X3] : (($true != (in @ X3 @ X2)) | ((in @ (X1 @ X3) @ X0) = $true)))),
0.14/0.39	  inference(flattening,[],[f18])).
0.14/0.39	thf(f18,plain,(
0.14/0.39	  ((? [X0,X1 : $i > $i,X2] : (? [X4] : (((X1 @ X4) != (ap @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X4)) & ($true = (in @ X4 @ X2))) & ! [X3] : (($true != (in @ X3 @ X2)) | ((in @ (X1 @ X3) @ X0) = $true))) & (funcGraphProp2 = $true)) & (lamp = $true)) & (dpsetconstrI = $true)),
0.14/0.39	  inference(ennf_transformation,[],[f13])).
0.14/0.39	thf(f13,plain,(
0.14/0.39	  ~((dpsetconstrI = $true) => ((lamp = $true) => ((funcGraphProp2 = $true) => ! [X0,X1 : $i > $i,X2] : (! [X3] : (($true = (in @ X3 @ X2)) => ((in @ (X1 @ X3) @ X0) = $true)) => ! [X4] : (($true = (in @ X4 @ X2)) => ((X1 @ X4) = (ap @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[Y0 : $i]: (X1 @ Y0))) @ X4)))))))),
0.14/0.39	  inference(fool_elimination,[],[f12])).
0.14/0.39	thf(f12,plain,(
0.14/0.39	  ~(dpsetconstrI => (lamp => (funcGraphProp2 => ! [X0,X1 : $i > $i,X2] : (! [X3] : ((in @ X3 @ X2) => (in @ (X1 @ X3) @ X0)) => ! [X4] : ((in @ X4 @ X2) => ((X1 @ X4) = (ap @ X2 @ X0 @ (lam @ X2 @ X0 @ (^[X5 : $i] : (X1 @ X5))) @ X4)))))))),
0.14/0.39	  inference(rectify,[],[f6])).
0.14/0.39	thf(f6,negated_conjecture,(
0.14/0.39	  ~(dpsetconstrI => (lamp => (funcGraphProp2 => ! [X1,X7 : $i > $i,X0] : (! [X3] : ((in @ X3 @ X0) => (in @ (X7 @ X3) @ X1)) => ! [X3] : ((in @ X3 @ X0) => ((X7 @ X3) = (ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[X4 : $i] : (X7 @ X4))) @ X3)))))))),
0.14/0.39	  inference(negated_conjecture,[],[f5])).
0.14/0.39	thf(f5,conjecture,(
0.14/0.39	  dpsetconstrI => (lamp => (funcGraphProp2 => ! [X1,X7 : $i > $i,X0] : (! [X3] : ((in @ X3 @ X0) => (in @ (X7 @ X3) @ X1)) => ! [X3] : ((in @ X3 @ X0) => ((X7 @ X3) = (ap @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[X4 : $i] : (X7 @ X4))) @ X3))))))),
0.14/0.39	  file('/export/starexec/sandbox2/tmp/tmp.WHNNyWbzgP/Vampire---4.8_28850',beta1)).
0.14/0.39	thf(f162,plain,(
0.14/0.39	  ( ! [X0 : $i] : (((in @ X0 @ sK2) != $true) | ((sK1 @ X0) != (sK1 @ sK3))) ) | ~spl4_3),
0.14/0.39	  inference(trivial_inequality_removal,[],[f158])).
0.14/0.39	thf(f158,plain,(
0.14/0.39	  ( ! [X0 : $i] : (((sK1 @ X0) != (sK1 @ sK3)) | ((in @ X0 @ sK2) != $true) | ($true = $false)) ) | ~spl4_3),
0.14/0.39	  inference(superposition,[],[f144,f28])).
0.14/0.39	thf(f28,plain,(
0.14/0.39	  ( ! [X4 : $i] : (((in @ (sK1 @ X4) @ sK0) = $true) | ((in @ X4 @ sK2) != $true)) )),
0.14/0.39	  inference(cnf_transformation,[],[f23])).
0.14/0.39	thf(f144,plain,(
0.14/0.39	  ( ! [X0 : $i] : (((in @ X0 @ sK0) = $false) | ((sK1 @ sK3) != X0)) ) | ~spl4_3),
0.14/0.39	  inference(avatar_component_clause,[],[f143])).
0.14/0.39	thf(f143,plain,(
0.14/0.39	  spl4_3 <=> ! [X0] : (((in @ X0 @ sK0) = $false) | ((sK1 @ sK3) != X0))),
0.14/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
0.14/0.39	thf(f153,plain,(
0.14/0.39	  ~spl4_4),
0.14/0.39	  inference(avatar_contradiction_clause,[],[f152])).
0.14/0.39	thf(f152,plain,(
0.14/0.39	  $false | ~spl4_4),
0.14/0.39	  inference(trivial_inequality_removal,[],[f151])).
0.14/0.39	thf(f151,plain,(
0.14/0.39	  ($true = $false) | ~spl4_4),
0.14/0.39	  inference(backward_demodulation,[],[f29,f148])).
0.14/0.39	thf(f148,plain,(
0.14/0.39	  ((in @ sK3 @ sK2) = $false) | ~spl4_4),
0.14/0.39	  inference(avatar_component_clause,[],[f146])).
0.14/0.39	thf(f146,plain,(
0.14/0.39	  spl4_4 <=> ((in @ sK3 @ sK2) = $false)),
0.14/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
0.14/0.39	thf(f150,plain,(
0.14/0.39	  spl4_3 | spl4_4 | ~spl4_1),
0.14/0.39	  inference(avatar_split_clause,[],[f135,f90,f146,f143])).
0.14/0.39	thf(f90,plain,(
0.14/0.39	  spl4_1 <=> ! [X0] : (((sK1 @ sK3) != X0) | ((in @ X0 @ sK0) = $false) | ($false = (in @ (kpair @ sK3 @ X0) @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0)))))))),
0.14/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
0.14/0.39	thf(f135,plain,(
0.14/0.39	  ( ! [X0 : $i] : (((in @ sK3 @ sK2) = $false) | ((in @ X0 @ sK0) = $false) | ((sK1 @ sK3) != X0)) ) | ~spl4_1),
0.14/0.39	  inference(duplicate_literal_removal,[],[f134])).
0.14/0.39	thf(f134,plain,(
0.14/0.39	  ( ! [X0 : $i] : (((in @ X0 @ sK0) = $false) | ((sK1 @ sK3) != X0) | ((in @ sK3 @ sK2) = $false) | ((sK1 @ sK3) != X0)) ) | ~spl4_1),
0.14/0.39	  inference(equality_proxy_clausification,[],[f133])).
0.14/0.39	thf(f133,plain,(
0.14/0.39	  ( ! [X0 : $i] : (((in @ X0 @ sK0) = $false) | (((sK1 @ sK3) = X0) = $false) | ((sK1 @ sK3) != X0) | ((in @ sK3 @ sK2) = $false)) ) | ~spl4_1),
0.14/0.39	  inference(beta_eta_normalization,[],[f132])).
0.14/0.39	thf(f132,plain,(
0.14/0.39	  ( ! [X0 : $i] : (((in @ X0 @ sK0) = $false) | ($false = ((^[Y0 : $i]: (= @ (sK1 @ Y0))) @ sK3 @ X0)) | ((sK1 @ sK3) != X0) | ((in @ sK3 @ sK2) = $false)) ) | ~spl4_1),
0.14/0.39	  inference(trivial_inequality_removal,[],[f131])).
0.14/0.39	thf(f131,plain,(
0.14/0.39	  ( ! [X0 : $i] : (((sK1 @ sK3) != X0) | ($true = $false) | ((in @ X0 @ sK0) = $false) | ((in @ sK3 @ sK2) = $false) | ($false = ((^[Y0 : $i]: (= @ (sK1 @ Y0))) @ sK3 @ X0))) ) | ~spl4_1),
0.14/0.39	  inference(duplicate_literal_removal,[],[f129])).
0.14/0.39	thf(f129,plain,(
0.14/0.39	  ( ! [X0 : $i] : (((sK1 @ sK3) != X0) | ((in @ X0 @ sK0) = $false) | ((in @ sK3 @ sK2) = $false) | ($false = ((^[Y0 : $i]: (= @ (sK1 @ Y0))) @ sK3 @ X0)) | ((in @ X0 @ sK0) = $false) | ($true = $false)) ) | ~spl4_1),
0.14/0.39	  inference(superposition,[],[f91,f80])).
0.14/0.39	thf(f80,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = (in @ (kpair @ X4 @ X5) @ (dpsetconstr @ X3 @ X1 @ X2))) | ($false = (in @ X4 @ X3)) | ($false = (X2 @ X4 @ X5)) | ($false = (in @ X5 @ X1))) )),
0.14/0.39	  inference(binary_proxy_clausification,[],[f79])).
0.14/0.39	thf(f79,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = ((X2 @ X4 @ X5) => (in @ (kpair @ X4 @ X5) @ (dpsetconstr @ X3 @ X1 @ X2)))) | ($false = (in @ X5 @ X1)) | ($false = (in @ X4 @ X3))) )),
0.14/0.39	  inference(binary_proxy_clausification,[],[f78])).
0.14/0.39	thf(f78,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((in @ X5 @ X1) => ((X2 @ X4 @ X5) => (in @ (kpair @ X4 @ X5) @ (dpsetconstr @ X3 @ X1 @ X2)))) = $true) | ($false = (in @ X4 @ X3))) )),
0.14/0.39	  inference(beta_eta_normalization,[],[f77])).
0.14/0.39	thf(f77,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ X1) => ((X2 @ X4 @ Y0) => (in @ (kpair @ X4 @ Y0) @ (dpsetconstr @ X3 @ X1 @ X2))))) @ X5) = $true) | ($false = (in @ X4 @ X3))) )),
0.14/0.39	  inference(pi_clausification,[],[f76])).
0.14/0.39	thf(f76,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i,X4 : $i] : (($false = (in @ X4 @ X3)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => ((X2 @ X4 @ Y0) => (in @ (kpair @ X4 @ Y0) @ (dpsetconstr @ X3 @ X1 @ X2)))))))) )),
0.14/0.39	  inference(binary_proxy_clausification,[],[f75])).
0.14/0.39	thf(f75,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i,X4 : $i] : ((((in @ X4 @ X3) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => ((X2 @ X4 @ Y0) => (in @ (kpair @ X4 @ Y0) @ (dpsetconstr @ X3 @ X1 @ X2))))))) = $true)) )),
0.14/0.39	  inference(beta_eta_normalization,[],[f74])).
0.14/0.39	thf(f74,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ X3) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => ((X2 @ Y0 @ Y1) => (in @ (kpair @ Y0 @ Y1) @ (dpsetconstr @ X3 @ X1 @ X2)))))))) @ X4) = $true)) )),
0.14/0.39	  inference(pi_clausification,[],[f73])).
0.14/0.39	thf(f73,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X3) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => ((X2 @ Y0 @ Y1) => (in @ (kpair @ Y0 @ Y1) @ (dpsetconstr @ X3 @ X1 @ X2))))))))))) )),
0.14/0.39	  inference(beta_eta_normalization,[],[f72])).
0.14/0.39	thf(f72,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ X1) => ((X2 @ Y1 @ Y2) => (in @ (kpair @ Y1 @ Y2) @ (dpsetconstr @ Y0 @ X1 @ X2)))))))))) @ X3) = $true)) )),
0.14/0.39	  inference(pi_clausification,[],[f71])).
0.14/0.39	thf(f71,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ X1) => ((X2 @ Y1 @ Y2) => (in @ (kpair @ Y1 @ Y2) @ (dpsetconstr @ Y0 @ X1 @ X2))))))))))))) )),
0.14/0.39	  inference(beta_eta_normalization,[],[f70])).
0.14/0.39	thf(f70,plain,(
0.14/0.39	  ( ! [X2 : $i > $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ X1) => ((Y0 @ Y2 @ Y3) => (in @ (kpair @ Y2 @ Y3) @ (dpsetconstr @ Y1 @ X1 @ Y0)))))))))))) @ X2))) )),
0.14/0.39	  inference(pi_clausification,[],[f69])).
0.14/0.39	thf(f69,plain,(
0.14/0.39	  ( ! [X1 : $i] : (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ X1) => ((Y0 @ Y2 @ Y3) => (in @ (kpair @ Y2 @ Y3) @ (dpsetconstr @ Y1 @ X1 @ Y0))))))))))))) = $true)) )),
0.14/0.39	  inference(beta_eta_normalization,[],[f68])).
0.14/0.39	thf(f68,plain,(
0.14/0.39	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y0) => ((Y1 @ Y3 @ Y4) => (in @ (kpair @ Y3 @ Y4) @ (dpsetconstr @ Y2 @ Y0 @ Y1)))))))))))))) @ X1))) )),
0.14/0.39	  inference(pi_clausification,[],[f67])).
0.14/0.39	thf(f67,plain,(
0.14/0.39	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y0) => ((Y1 @ Y3 @ Y4) => (in @ (kpair @ Y3 @ Y4) @ (dpsetconstr @ Y2 @ Y0 @ Y1))))))))))))))))),
0.14/0.39	  inference(beta_eta_normalization,[],[f36])).
0.14/0.39	thf(f36,plain,(
0.14/0.39	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y0) => ((Y1 @ Y3 @ Y4) => (in @ (kpair @ Y3 @ Y4) @ (dpsetconstr @ Y2 @ Y0 @ (^[Y5 : $i]: ((^[Y6 : $i]: (Y1 @ Y5 @ Y6))))))))))))))))))))),
0.14/0.39	  inference(definition_unfolding,[],[f32,f25])).
0.14/0.39	thf(f25,plain,(
0.14/0.39	  (dpsetconstrI = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y0) => ((Y1 @ Y3 @ Y4) => (in @ (kpair @ Y3 @ Y4) @ (dpsetconstr @ Y2 @ Y0 @ (^[Y5 : $i]: ((^[Y6 : $i]: (Y1 @ Y5 @ Y6))))))))))))))))))))),
0.14/0.39	  inference(cnf_transformation,[],[f9])).
0.14/0.39	thf(f9,plain,(
0.14/0.39	  (dpsetconstrI = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y0) => ((Y1 @ Y3 @ Y4) => (in @ (kpair @ Y3 @ Y4) @ (dpsetconstr @ Y2 @ Y0 @ (^[Y5 : $i]: ((^[Y6 : $i]: (Y1 @ Y5 @ Y6))))))))))))))))))))),
0.14/0.39	  inference(fool_elimination,[],[f8])).
0.14/0.39	thf(f8,plain,(
0.14/0.39	  (! [X0,X1,X2 : $i > $i > $o,X3] : ((in @ X0 @ X1) => ! [X4] : ((in @ X4 @ X3) => ((X2 @ X0 @ X4) => (in @ (kpair @ X0 @ X4) @ (dpsetconstr @ X1 @ X3 @ (^[X5 : $i, X6 : $i] : (X2 @ X5 @ X6))))))) = dpsetconstrI)),
0.14/0.39	  inference(rectify,[],[f1])).
0.14/0.39	thf(f1,axiom,(
0.14/0.39	  (! [X3,X0,X2 : $i > $i > $o,X1] : ((in @ X3 @ X0) => ! [X4] : ((in @ X4 @ X1) => ((X2 @ X3 @ X4) => (in @ (kpair @ X3 @ X4) @ (dpsetconstr @ X0 @ X1 @ (^[X5 : $i, X6 : $i] : (X2 @ X5 @ X6))))))) = dpsetconstrI)),
0.14/0.39	  file('/export/starexec/sandbox2/tmp/tmp.WHNNyWbzgP/Vampire---4.8_28850',dpsetconstrI)).
0.14/0.39	thf(f32,plain,(
0.14/0.39	  (dpsetconstrI = $true)),
0.14/0.39	  inference(cnf_transformation,[],[f23])).
0.14/0.39	thf(f91,plain,(
0.14/0.39	  ( ! [X0 : $i] : (($false = (in @ (kpair @ sK3 @ X0) @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0)))))) | ((in @ X0 @ sK0) = $false) | ((sK1 @ sK3) != X0)) ) | ~spl4_1),
0.14/0.39	  inference(avatar_component_clause,[],[f90])).
0.14/0.39	thf(f124,plain,(
0.14/0.39	  ~spl4_2),
0.14/0.39	  inference(avatar_contradiction_clause,[],[f123])).
0.14/0.39	thf(f123,plain,(
0.14/0.39	  $false | ~spl4_2),
0.14/0.39	  inference(trivial_inequality_removal,[],[f122])).
0.14/0.39	thf(f122,plain,(
0.14/0.39	  ($true = $false) | ~spl4_2),
0.14/0.39	  inference(backward_demodulation,[],[f103,f118])).
0.14/0.39	thf(f118,plain,(
0.14/0.39	  ($false = (in @ (sK5 @ sK0 @ sK1 @ sK2) @ sK2)) | ~spl4_2),
0.14/0.39	  inference(trivial_inequality_removal,[],[f116])).
0.14/0.39	thf(f116,plain,(
0.14/0.39	  ($false = (in @ (sK5 @ sK0 @ sK1 @ sK2) @ sK2)) | ($true != $true) | ~spl4_2),
0.14/0.39	  inference(fool_paramodulation,[],[f114])).
0.14/0.39	thf(f114,plain,(
0.14/0.39	  ($true != (in @ (sK5 @ sK0 @ sK1 @ sK2) @ sK2)) | ~spl4_2),
0.14/0.39	  inference(trivial_inequality_removal,[],[f111])).
0.14/0.39	thf(f111,plain,(
0.14/0.39	  ($true != (in @ (sK5 @ sK0 @ sK1 @ sK2) @ sK2)) | ($true = $false) | ~spl4_2),
0.14/0.39	  inference(superposition,[],[f109,f28])).
0.14/0.39	thf(f109,plain,(
0.14/0.39	  ((in @ (sK1 @ (sK5 @ sK0 @ sK1 @ sK2)) @ sK0) = $false) | ~spl4_2),
0.14/0.39	  inference(trivial_inequality_removal,[],[f106])).
0.14/0.39	thf(f106,plain,(
0.14/0.39	  ($true = $false) | ((in @ (sK1 @ (sK5 @ sK0 @ sK1 @ sK2)) @ sK0) = $false) | ~spl4_2),
0.14/0.39	  inference(superposition,[],[f49,f95])).
0.14/0.39	thf(f95,plain,(
0.14/0.39	  ((func @ sK2 @ sK0 @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0))))) = $false) | ~spl4_2),
0.14/0.39	  inference(avatar_component_clause,[],[f93])).
0.14/0.39	thf(f93,plain,(
0.14/0.39	  spl4_2 <=> ((func @ sK2 @ sK0 @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0))))) = $false)),
0.14/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
0.14/0.39	thf(f49,plain,(
0.14/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $i] : (($true = (func @ X2 @ X3 @ (dpsetconstr @ X2 @ X3 @ (^[Y0 : $i]: (= @ (X1 @ Y0)))))) | ((in @ (X1 @ (sK5 @ X3 @ X1 @ X2)) @ X3) = $false)) )),
0.14/0.39	  inference(binary_proxy_clausification,[],[f48])).
0.14/0.39	thf(f48,plain,(
0.14/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $i] : (($false = ((in @ (sK5 @ X3 @ X1 @ X2) @ X2) => (in @ (X1 @ (sK5 @ X3 @ X1 @ X2)) @ X3))) | ($true = (func @ X2 @ X3 @ (dpsetconstr @ X2 @ X3 @ (^[Y0 : $i]: (= @ (X1 @ Y0))))))) )),
0.14/0.39	  inference(beta_eta_normalization,[],[f47])).
0.14/0.39	thf(f47,plain,(
0.14/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $i] : (($false = ((^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ (X1 @ Y0) @ X3))) @ (sK5 @ X3 @ X1 @ X2))) | ($true = (func @ X2 @ X3 @ (dpsetconstr @ X2 @ X3 @ (^[Y0 : $i]: (= @ (X1 @ Y0))))))) )),
0.14/0.39	  inference(sigma_clausification,[],[f46])).
0.14/0.39	thf(f46,plain,(
0.14/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ (X1 @ Y0) @ X3))))) | ($true = (func @ X2 @ X3 @ (dpsetconstr @ X2 @ X3 @ (^[Y0 : $i]: (= @ (X1 @ Y0))))))) )),
0.14/0.39	  inference(binary_proxy_clausification,[],[f45])).
0.14/0.39	thf(f45,plain,(
0.14/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ (X1 @ Y0) @ X3)))) => (func @ X2 @ X3 @ (dpsetconstr @ X2 @ X3 @ (^[Y0 : $i]: (= @ (X1 @ Y0)))))))) )),
0.14/0.39	  inference(beta_eta_normalization,[],[f44])).
0.14/0.39	thf(f44,plain,(
0.14/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $i] : (($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X2) => (in @ (X1 @ Y1) @ Y0)))) => (func @ X2 @ Y0 @ (dpsetconstr @ X2 @ Y0 @ (^[Y1 : $i]: (= @ (X1 @ Y1))))))) @ X3))) )),
0.14/0.39	  inference(pi_clausification,[],[f43])).
0.14/0.39	thf(f43,plain,(
0.14/0.39	  ( ! [X2 : $i,X1 : $i > $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X2) => (in @ (X1 @ Y1) @ Y0)))) => (func @ X2 @ Y0 @ (dpsetconstr @ X2 @ Y0 @ (^[Y1 : $i]: (= @ (X1 @ Y1)))))))))) )),
0.14/0.39	  inference(beta_eta_normalization,[],[f42])).
0.14/0.39	thf(f42,plain,(
0.14/0.39	  ( ! [X2 : $i,X1 : $i > $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ (X1 @ Y2) @ Y1)))) => (func @ Y0 @ Y1 @ (dpsetconstr @ Y0 @ Y1 @ (^[Y2 : $i]: (= @ (X1 @ Y2))))))))) @ X2))) )),
0.14/0.39	  inference(pi_clausification,[],[f41])).
0.14/0.39	thf(f41,plain,(
0.14/0.39	  ( ! [X1 : $i > $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ (X1 @ Y2) @ Y1)))) => (func @ Y0 @ Y1 @ (dpsetconstr @ Y0 @ Y1 @ (^[Y2 : $i]: (= @ (X1 @ Y2)))))))))))) )),
0.14/0.39	  inference(beta_eta_normalization,[],[f40])).
0.14/0.39	thf(f40,plain,(
0.14/0.39	  ( ! [X1 : $i > $i] : (($true = ((^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ (Y0 @ Y3) @ Y2)))) => (func @ Y1 @ Y2 @ (dpsetconstr @ Y1 @ Y2 @ (^[Y3 : $i]: (= @ (Y0 @ Y3))))))))))) @ X1))) )),
0.14/0.39	  inference(pi_clausification,[],[f39])).
0.14/0.39	thf(f39,plain,(
0.14/0.39	  ($true = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ (Y0 @ Y3) @ Y2)))) => (func @ Y1 @ Y2 @ (dpsetconstr @ Y1 @ Y2 @ (^[Y3 : $i]: (= @ (Y0 @ Y3)))))))))))))),
0.14/0.39	  inference(beta_eta_normalization,[],[f37])).
0.14/0.39	thf(f37,plain,(
0.14/0.39	  ($true = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ (Y0 @ Y3) @ Y2)))) => (func @ Y1 @ Y2 @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i > $i]: (dpsetconstr @ Y3 @ Y4 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((Y5 @ Y6) = Y7)))))))))) @ Y1 @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3))))))))))))),
0.14/0.39	  inference(definition_unfolding,[],[f31,f34])).
0.14/0.39	thf(f34,plain,(
0.14/0.39	  (lamp = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ (Y0 @ Y3) @ Y2)))) => (func @ Y1 @ Y2 @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i > $i]: (dpsetconstr @ Y3 @ Y4 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((Y5 @ Y6) = Y7)))))))))) @ Y1 @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3))))))))))))),
0.14/0.39	  inference(definition_unfolding,[],[f24,f26])).
0.14/0.39	thf(f26,plain,(
0.14/0.39	  (lam = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i]: (dpsetconstr @ Y0 @ Y1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((Y2 @ Y3) = Y4)))))))))))),
0.14/0.39	  inference(cnf_transformation,[],[f17])).
0.14/0.39	thf(f17,plain,(
0.14/0.39	  (lam = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i]: (dpsetconstr @ Y0 @ Y1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((Y2 @ Y3) = Y4)))))))))))),
0.14/0.39	  inference(fool_elimination,[],[f16])).
0.14/0.39	thf(f16,plain,(
0.14/0.39	  ((^[X0 : $i, X1 : $i, X2 : $i > $i] : (dpsetconstr @ X0 @ X1 @ (^[X3 : $i, X4 : $i] : (((X2 @ X3) = X4))))) = lam)),
0.14/0.39	  inference(rectify,[],[f2])).
0.14/0.39	thf(f2,axiom,(
0.14/0.39	  ((^[X0 : $i, X1 : $i, X7 : $i > $i] : (dpsetconstr @ X0 @ X1 @ (^[X3 : $i, X4 : $i] : (((X7 @ X3) = X4))))) = lam)),
0.14/0.39	  file('/export/starexec/sandbox2/tmp/tmp.WHNNyWbzgP/Vampire---4.8_28850',lam)).
0.14/0.39	thf(f24,plain,(
0.14/0.39	  (lamp = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ (Y0 @ Y3) @ Y2)))) => (func @ Y1 @ Y2 @ (lam @ Y1 @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3))))))))))))),
0.14/0.39	  inference(cnf_transformation,[],[f15])).
0.14/0.39	thf(f15,plain,(
0.14/0.39	  (lamp = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ (Y0 @ Y3) @ Y2)))) => (func @ Y1 @ Y2 @ (lam @ Y1 @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3))))))))))))),
0.14/0.39	  inference(fool_elimination,[],[f14])).
0.14/0.39	thf(f14,plain,(
0.14/0.39	  (! [X0,X1,X2 : $i > $i] : (! [X3] : ((in @ X3 @ X1) => (in @ (X2 @ X3) @ X0)) => (func @ X1 @ X0 @ (lam @ X1 @ X0 @ (^[X4 : $i] : (X2 @ X4))))) = lamp)),
0.14/0.39	  inference(rectify,[],[f3])).
0.14/0.39	thf(f3,axiom,(
0.14/0.39	  (! [X1,X0,X7 : $i > $i] : (! [X3] : ((in @ X3 @ X0) => (in @ (X7 @ X3) @ X1)) => (func @ X0 @ X1 @ (lam @ X0 @ X1 @ (^[X3 : $i] : (X7 @ X3))))) = lamp)),
0.14/0.39	  file('/export/starexec/sandbox2/tmp/tmp.WHNNyWbzgP/Vampire---4.8_28850',lamp)).
0.14/0.39	thf(f31,plain,(
0.14/0.39	  (lamp = $true)),
0.14/0.39	  inference(cnf_transformation,[],[f23])).
0.14/0.39	thf(f103,plain,(
0.14/0.39	  ($true = (in @ (sK5 @ sK0 @ sK1 @ sK2) @ sK2)) | ~spl4_2),
0.14/0.39	  inference(trivial_inequality_removal,[],[f101])).
0.14/0.39	thf(f101,plain,(
0.14/0.39	  ($true = (in @ (sK5 @ sK0 @ sK1 @ sK2) @ sK2)) | ($true = $false) | ~spl4_2),
0.14/0.39	  inference(superposition,[],[f95,f50])).
0.14/0.39	thf(f50,plain,(
0.14/0.39	  ( ! [X2 : $i,X3 : $i,X1 : $i > $i] : (($true = (func @ X2 @ X3 @ (dpsetconstr @ X2 @ X3 @ (^[Y0 : $i]: (= @ (X1 @ Y0)))))) | ($true = (in @ (sK5 @ X3 @ X1 @ X2) @ X2))) )),
0.14/0.39	  inference(binary_proxy_clausification,[],[f48])).
0.14/0.39	thf(f96,plain,(
0.14/0.39	  spl4_1 | spl4_2),
0.14/0.39	  inference(avatar_split_clause,[],[f88,f93,f90])).
0.14/0.39	thf(f88,plain,(
0.14/0.39	  ( ! [X0 : $i] : (((sK1 @ sK3) != X0) | ((func @ sK2 @ sK0 @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0))))) = $false) | ($false = (in @ (kpair @ sK3 @ X0) @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0)))))) | ((in @ X0 @ sK0) = $false)) )),
0.14/0.39	  inference(trivial_inequality_removal,[],[f87])).
0.14/0.39	thf(f87,plain,(
0.14/0.39	  ( ! [X0 : $i] : (($false = (in @ (kpair @ sK3 @ X0) @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0)))))) | ($true = $false) | ((sK1 @ sK3) != X0) | ((func @ sK2 @ sK0 @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0))))) = $false) | ((in @ X0 @ sK0) = $false)) )),
0.14/0.39	  inference(forward_demodulation,[],[f85,f29])).
0.14/0.39	thf(f85,plain,(
0.14/0.40	  ( ! [X0 : $i] : (((in @ sK3 @ sK2) = $false) | ((func @ sK2 @ sK0 @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0))))) = $false) | ((in @ X0 @ sK0) = $false) | ((sK1 @ sK3) != X0) | ($false = (in @ (kpair @ sK3 @ X0) @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0))))))) )),
0.14/0.40	  inference(superposition,[],[f51,f66])).
0.14/0.40	thf(f66,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((ap @ X2 @ X3 @ X1 @ X4) = X5) | ($false = (in @ X5 @ X3)) | ((in @ (kpair @ X4 @ X5) @ X1) = $false) | ($false = (in @ X4 @ X2)) | ((func @ X2 @ X3 @ X1) = $false)) )),
0.14/0.40	  inference(equality_proxy_clausification,[],[f65])).
0.14/0.40	thf(f65,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = ((ap @ X2 @ X3 @ X1 @ X4) = X5)) | ($false = (in @ X4 @ X2)) | ((func @ X2 @ X3 @ X1) = $false) | ((in @ (kpair @ X4 @ X5) @ X1) = $false) | ($false = (in @ X5 @ X3))) )),
0.14/0.40	  inference(binary_proxy_clausification,[],[f64])).
0.14/0.40	thf(f64,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((func @ X2 @ X3 @ X1) = $false) | ($false = (in @ X5 @ X3)) | ($true = ((in @ (kpair @ X4 @ X5) @ X1) => ((ap @ X2 @ X3 @ X1 @ X4) = X5))) | ($false = (in @ X4 @ X2))) )),
0.14/0.40	  inference(binary_proxy_clausification,[],[f63])).
0.14/0.40	thf(f63,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = ((in @ X5 @ X3) => ((in @ (kpair @ X4 @ X5) @ X1) => ((ap @ X2 @ X3 @ X1 @ X4) = X5)))) | ($false = (in @ X4 @ X2)) | ((func @ X2 @ X3 @ X1) = $false)) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f62])).
0.14/0.40	thf(f62,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((func @ X2 @ X3 @ X1) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ X3) => ((in @ (kpair @ X4 @ Y0) @ X1) => ((ap @ X2 @ X3 @ X1 @ X4) = Y0)))) @ X5)) | ($false = (in @ X4 @ X2))) )),
0.14/0.40	  inference(pi_clausification,[],[f61])).
0.14/0.40	thf(f61,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X3) => ((in @ (kpair @ X4 @ Y0) @ X1) => ((ap @ X2 @ X3 @ X1 @ X4) = Y0)))))) | ((func @ X2 @ X3 @ X1) = $false) | ($false = (in @ X4 @ X2))) )),
0.14/0.40	  inference(binary_proxy_clausification,[],[f60])).
0.14/0.40	thf(f60,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((in @ X4 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X3) => ((in @ (kpair @ X4 @ Y0) @ X1) => ((ap @ X2 @ X3 @ X1 @ X4) = Y0))))))) | ((func @ X2 @ X3 @ X1) = $false)) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f59])).
0.14/0.40	thf(f59,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((func @ X2 @ X3 @ X1) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ X2) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X3) => ((in @ (kpair @ Y0 @ Y1) @ X1) => ((ap @ X2 @ X3 @ X1 @ Y0) = Y1))))))) @ X4))) )),
0.14/0.40	  inference(pi_clausification,[],[f58])).
0.14/0.40	thf(f58,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X3) => ((in @ (kpair @ Y0 @ Y1) @ X1) => ((ap @ X2 @ X3 @ X1 @ Y0) = Y1))))))))) | ((func @ X2 @ X3 @ X1) = $false)) )),
0.14/0.40	  inference(binary_proxy_clausification,[],[f57])).
0.14/0.40	thf(f57,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((func @ X2 @ X3 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X3) => ((in @ (kpair @ Y0 @ Y1) @ X1) => ((ap @ X2 @ X3 @ X1 @ Y0) = Y1))))))))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f56])).
0.14/0.40	thf(f56,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((func @ X2 @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X2) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => ((in @ (kpair @ Y1 @ Y2) @ X1) => ((ap @ X2 @ Y0 @ X1 @ Y1) = Y2)))))))))) @ X3))) )),
0.14/0.40	  inference(pi_clausification,[],[f55])).
0.14/0.40	thf(f55,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((func @ X2 @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X2) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => ((in @ (kpair @ Y1 @ Y2) @ X1) => ((ap @ X2 @ Y0 @ X1 @ Y1) = Y2))))))))))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f54])).
0.14/0.40	thf(f54,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((func @ Y0 @ Y1 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => ((in @ (kpair @ Y2 @ Y3) @ X1) => ((ap @ Y0 @ Y1 @ X1 @ Y2) = Y3)))))))))))) @ X2) = $true)) )),
0.14/0.40	  inference(pi_clausification,[],[f53])).
0.14/0.40	thf(f53,plain,(
0.14/0.40	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((func @ Y0 @ Y1 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => ((in @ (kpair @ Y2 @ Y3) @ X1) => ((ap @ Y0 @ Y1 @ X1 @ Y2) = Y3))))))))))))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f52])).
0.14/0.40	thf(f52,plain,(
0.14/0.40	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((func @ Y1 @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y2) => ((in @ (kpair @ Y3 @ Y4) @ Y0) => ((ap @ Y1 @ Y2 @ Y0 @ Y3) = Y4)))))))))))))) @ X1))) )),
0.14/0.40	  inference(pi_clausification,[],[f35])).
0.14/0.40	thf(f35,plain,(
0.14/0.40	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((func @ Y1 @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y2) => ((in @ (kpair @ Y3 @ Y4) @ Y0) => ((ap @ Y1 @ Y2 @ Y0 @ Y3) = Y4))))))))))))))))),
0.14/0.40	  inference(definition_unfolding,[],[f33,f27])).
0.14/0.40	thf(f27,plain,(
0.14/0.40	  (funcGraphProp2 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((func @ Y1 @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y2) => ((in @ (kpair @ Y3 @ Y4) @ Y0) => ((ap @ Y1 @ Y2 @ Y0 @ Y3) = Y4))))))))))))))))),
0.14/0.40	  inference(cnf_transformation,[],[f11])).
0.14/0.40	thf(f11,plain,(
0.14/0.40	  (funcGraphProp2 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((func @ Y1 @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y2) => ((in @ (kpair @ Y3 @ Y4) @ Y0) => ((ap @ Y1 @ Y2 @ Y0 @ Y3) = Y4))))))))))))))))),
0.14/0.40	  inference(fool_elimination,[],[f10])).
0.14/0.40	thf(f10,plain,(
0.14/0.40	  (! [X0,X1,X2] : ((func @ X1 @ X0 @ X2) => ! [X3] : ((in @ X3 @ X1) => ! [X4] : ((in @ X4 @ X0) => ((in @ (kpair @ X3 @ X4) @ X2) => ((ap @ X1 @ X0 @ X2 @ X3) = X4))))) = funcGraphProp2)),
0.14/0.40	  inference(rectify,[],[f4])).
0.14/0.40	thf(f4,axiom,(
0.14/0.40	  (! [X1,X0,X7] : ((func @ X0 @ X1 @ X7) => ! [X3] : ((in @ X3 @ X0) => ! [X4] : ((in @ X4 @ X1) => ((in @ (kpair @ X3 @ X4) @ X7) => ((ap @ X0 @ X1 @ X7 @ X3) = X4))))) = funcGraphProp2)),
0.14/0.40	  file('/export/starexec/sandbox2/tmp/tmp.WHNNyWbzgP/Vampire---4.8_28850',funcGraphProp2)).
0.14/0.40	thf(f33,plain,(
0.14/0.40	  (funcGraphProp2 = $true)),
0.14/0.40	  inference(cnf_transformation,[],[f23])).
0.14/0.40	thf(f51,plain,(
0.14/0.40	  ((ap @ sK2 @ sK0 @ (dpsetconstr @ sK2 @ sK0 @ (^[Y0 : $i]: (= @ (sK1 @ Y0)))) @ sK3) != (sK1 @ sK3))),
0.14/0.40	  inference(beta_eta_normalization,[],[f38])).
0.14/0.40	thf(f38,plain,(
0.14/0.40	  ((ap @ sK2 @ sK0 @ ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i]: (dpsetconstr @ Y0 @ Y1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((Y2 @ Y3) = Y4)))))))))) @ sK2 @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0))) @ sK3) != (sK1 @ sK3))),
0.14/0.40	  inference(definition_unfolding,[],[f30,f26])).
0.14/0.40	thf(f30,plain,(
0.14/0.40	  ((ap @ sK2 @ sK0 @ (lam @ sK2 @ sK0 @ (^[Y0 : $i]: (sK1 @ Y0))) @ sK3) != (sK1 @ sK3))),
0.14/0.40	  inference(cnf_transformation,[],[f23])).
0.14/0.40	% SZS output end Proof for Vampire---4
0.14/0.40	% (29057)------------------------------
0.14/0.40	% (29057)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.40	% (29057)Termination reason: Refutation
0.14/0.40	
0.14/0.40	% (29057)Memory used [KB]: 5628
0.14/0.40	% (29057)Time elapsed: 0.020 s
0.14/0.40	% (29057)Instructions burned: 19 (million)
0.14/0.40	% (29057)------------------------------
0.14/0.40	% (29057)------------------------------
0.14/0.40	% (29054)Success in time 0.032 s
0.14/0.40	% Vampire---4.8 exiting
0.14/0.40	EOF