0.11/0.12	% Problem    : Vampire---4.8_29745 : TPTP v0.0.0. Released v0.0.0.
0.11/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.14/0.34	% Computer : n006.cluster.edu
0.14/0.34	% Model    : x86_64 x86_64
0.14/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory   : 8042.1875MB
0.14/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit   : 1440
0.14/0.34	% WCLimit    : 180
0.14/0.34	% DateTime   : Mon Jul  3 12:53:06 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/sandbox/tmp/tmp.3zX2WE2mTp/Vampire---4.8_29745 -m 12000  -t 180
0.14/0.37	% (29855)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1800ds/96Mi)
0.14/0.37	% (29856)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1800ds/36Mi)
0.14/0.37	% (29859)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1800ds/17Mi)
0.14/0.37	% (29858)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 (1800ds/385Mi)
0.14/0.37	% (29860)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 (1800ds/74Mi)
0.14/0.37	% (29857)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1800ds/34Mi)
0.14/0.37	% (29855)First to succeed.
0.14/0.37	% (29856)Also succeeded, but the first one will report.
0.14/0.37	% (29855)Refutation found. Thanks to Tanya!
0.14/0.37	% SZS status Theorem for Vampire---4
0.14/0.37	% SZS output start Proof for Vampire---4
0.14/0.37	thf(func_def_0, type, epsii: (($i > $i) > $o) > $i > $i).
0.14/0.37	thf(func_def_1, type, if: $o > ($i > $i) > ($i > $i) > $i > $i).
0.14/0.37	thf(func_def_14, type, sK0: $i > $i).
0.14/0.37	thf(func_def_15, type, sK1: $i > $i).
0.14/0.37	thf(func_def_17, type, ph3: !>[X0: $tType]:(X0)).
0.14/0.37	thf(f57,plain,(
0.14/0.37	  $false),
0.14/0.37	  inference(avatar_sat_refutation,[],[f39,f54,f56])).
0.14/0.37	thf(f56,plain,(
0.14/0.37	  spl2_2),
0.14/0.37	  inference(avatar_contradiction_clause,[],[f55])).
0.14/0.37	thf(f55,plain,(
0.14/0.37	  $false | spl2_2),
0.14/0.37	  inference(subsumption_resolution,[],[f38,f40])).
0.14/0.37	thf(f40,plain,(
0.14/0.37	  ( ! [X0 : $i > $i] : (((epsii @ (= @ X0)) = X0)) )),
0.14/0.37	  inference(leibniz_equality_elimination,[],[f16])).
0.14/0.37	thf(f16,plain,(
0.14/0.37	  ( ! [X0 : ($i > $i) > $o,X1 : $i > $i] : (((X0 @ X1) != $true) | ((X0 @ (epsii @ X0)) = $true)) )),
0.14/0.37	  inference(cnf_transformation,[],[f12])).
0.14/0.37	thf(f12,plain,(
0.14/0.37	  ! [X0 : ($i > $i) > $o] : (((X0 @ (epsii @ X0)) = $true) | ! [X1 : $i > $i] : ((X0 @ X1) != $true))),
0.14/0.37	  inference(ennf_transformation,[],[f7])).
0.14/0.37	thf(f7,plain,(
0.14/0.37	  ! [X0 : ($i > $i) > $o] : (? [X1 : $i > $i] : ((X0 @ X1) = $true) => ((X0 @ (epsii @ X0)) = $true))),
0.14/0.37	  inference(fool_elimination,[],[f6])).
0.14/0.37	thf(f6,plain,(
0.14/0.37	  ! [X0 : ($i > $i) > $o] : (? [X1 : $i > $i] : (X0 @ X1) => (X0 @ (epsii @ X0)))),
0.14/0.37	  inference(rectify,[],[f4])).
0.14/0.37	thf(f4,axiom,(
0.14/0.37	  ! [X4 : ($i > $i) > $o] : (? [X1 : $i > $i] : (X4 @ X1) => (X4 @ (epsii @ X4)))),
0.14/0.37	  file('/export/starexec/sandbox/tmp/tmp.3zX2WE2mTp/Vampire---4.8_29745',choiceaxii)).
0.14/0.37	thf(f38,plain,(
0.14/0.37	  (sK1 != (epsii @ (= @ sK1))) | spl2_2),
0.14/0.37	  inference(avatar_component_clause,[],[f36])).
0.14/0.37	thf(f36,plain,(
0.14/0.37	  spl2_2 <=> (sK1 = (epsii @ (= @ sK1)))),
0.14/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
0.14/0.37	thf(f54,plain,(
0.14/0.37	  spl2_1),
0.14/0.37	  inference(avatar_contradiction_clause,[],[f53])).
0.14/0.37	thf(f53,plain,(
0.14/0.37	  $false | spl2_1),
0.14/0.37	  inference(subsumption_resolution,[],[f34,f40])).
0.14/0.37	thf(f34,plain,(
0.14/0.37	  (sK0 != (epsii @ (= @ sK0))) | spl2_1),
0.14/0.37	  inference(avatar_component_clause,[],[f32])).
0.14/0.37	thf(f32,plain,(
0.14/0.37	  spl2_1 <=> (sK0 = (epsii @ (= @ sK0)))),
0.14/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
0.14/0.37	thf(f39,plain,(
0.14/0.37	  ~spl2_1 | ~spl2_2),
0.14/0.37	  inference(avatar_split_clause,[],[f30,f36,f32])).
0.14/0.37	thf(f30,plain,(
0.14/0.37	  (sK1 != (epsii @ (= @ sK1))) | (sK0 != (epsii @ (= @ sK0)))),
0.14/0.37	  inference(beta_eta_normalization,[],[f29])).
0.14/0.37	thf(f29,plain,(
0.14/0.37	  ((epsii @ (^[Y0 : $i > $i]: (sK1 = Y0))) != sK1) | (sK0 != (epsii @ (= @ sK0)))),
0.14/0.37	  inference(boolean_simplification,[],[f28])).
0.14/0.37	thf(f28,plain,(
0.14/0.37	  ((epsii @ (^[Y0 : $i > $i]: ($true & (sK1 = Y0)))) != sK1) | (sK0 != (epsii @ (= @ sK0)))),
0.14/0.37	  inference(beta_eta_normalization,[],[f27])).
0.14/0.37	thf(f27,plain,(
0.14/0.37	  (sK0 != (epsii @ (^[Y0 : $i > $i]: (sK0 = Y0)))) | ((epsii @ (^[Y0 : $i > $i]: ($true & (sK1 = Y0)))) != sK1)),
0.14/0.37	  inference(boolean_simplification,[],[f26])).
0.14/0.37	thf(f26,plain,(
0.14/0.37	  (sK0 != (epsii @ (^[Y0 : $i > $i]: ($false | (sK0 = Y0))))) | ((epsii @ (^[Y0 : $i > $i]: ($true & (sK1 = Y0)))) != sK1)),
0.14/0.37	  inference(boolean_simplification,[],[f25])).
0.14/0.37	thf(f25,plain,(
0.14/0.37	  (sK1 != (epsii @ (^[Y0 : $i > $i]: ((~ $false) & (sK1 = Y0))))) | (sK0 != (epsii @ (^[Y0 : $i > $i]: ($false | (sK0 = Y0)))))),
0.14/0.37	  inference(boolean_simplification,[],[f24])).
0.14/0.37	thf(f24,plain,(
0.14/0.37	  (sK1 != (epsii @ (^[Y0 : $i > $i]: (((~ $false) & (sK1 = Y0)) | $false)))) | (sK0 != (epsii @ (^[Y0 : $i > $i]: ($false | (sK0 = Y0)))))),
0.14/0.37	  inference(boolean_simplification,[],[f23])).
0.14/0.37	thf(f23,plain,(
0.14/0.37	  (sK0 != (epsii @ (^[Y0 : $i > $i]: (($false & (sK1 = Y0)) | (sK0 = Y0))))) | (sK1 != (epsii @ (^[Y0 : $i > $i]: (((~ $false) & (sK1 = Y0)) | $false))))),
0.14/0.37	  inference(boolean_simplification,[],[f22])).
0.14/0.37	thf(f22,plain,(
0.14/0.37	  (sK0 != (epsii @ (^[Y0 : $i > $i]: (((~ $true) & (sK1 = Y0)) | (sK0 = Y0))))) | (sK1 != (epsii @ (^[Y0 : $i > $i]: (((~ $false) & (sK1 = Y0)) | $false))))),
0.14/0.37	  inference(boolean_simplification,[],[f21])).
0.14/0.37	thf(f21,plain,(
0.14/0.37	  (sK1 != (epsii @ (^[Y0 : $i > $i]: (((~ $false) & (sK1 = Y0)) | ((sK0 = Y0) & $false))))) | (sK0 != (epsii @ (^[Y0 : $i > $i]: (((~ $true) & (sK1 = Y0)) | (sK0 = Y0)))))),
0.14/0.37	  inference(boolean_simplification,[],[f20])).
0.14/0.37	thf(f20,plain,(
0.14/0.37	  ((epsii @ (^[Y0 : $i > $i]: (((~ $true) & (sK1 = Y0)) | ((sK0 = Y0) & $true)))) != sK0) | (sK1 != (epsii @ (^[Y0 : $i > $i]: (((~ $false) & (sK1 = Y0)) | ((sK0 = Y0) & $false)))))),
0.14/0.37	  inference(beta_eta_normalization,[],[f19])).
0.14/0.37	thf(f19,plain,(
0.14/0.37	  (((^[Y0 : $o]: ((^[Y1 : $i > $i]: ((^[Y2 : $i > $i]: (epsii @ (^[Y3 : $i > $i]: (((~ Y0) & (Y2 = Y3)) | ((Y1 = Y3) & Y0))))))))) @ $false @ sK0 @ sK1) != sK1) | (sK0 != ((^[Y0 : $o]: ((^[Y1 : $i > $i]: ((^[Y2 : $i > $i]: (epsii @ (^[Y3 : $i > $i]: (((~ Y0) & (Y2 = Y3)) | ((Y1 = Y3) & Y0))))))))) @ $true @ sK0 @ sK1))),
0.14/0.37	  inference(definition_unfolding,[],[f18,f17,f17])).
0.14/0.37	thf(f17,plain,(
0.14/0.37	  (if = (^[Y0 : $o]: ((^[Y1 : $i > $i]: ((^[Y2 : $i > $i]: (epsii @ (^[Y3 : $i > $i]: (((~ Y0) & (Y2 = Y3)) | ((Y1 = Y3) & Y0))))))))))),
0.14/0.37	  inference(cnf_transformation,[],[f11])).
0.14/0.37	thf(f11,plain,(
0.14/0.37	  (if = (^[Y0 : $o]: ((^[Y1 : $i > $i]: ((^[Y2 : $i > $i]: (epsii @ (^[Y3 : $i > $i]: (((~ Y0) & (Y2 = Y3)) | ((Y1 = Y3) & Y0))))))))))),
0.14/0.37	  inference(fool_elimination,[],[f10])).
0.14/0.37	thf(f10,plain,(
0.14/0.37	  ((^[X0 : $o, X1 : $i > $i, X2 : $i > $i] : (epsii @ (^[X3 : $i > $i] : ((X0 & (X1 = X3)) | ((X2 = X3) & ~X0))))) = if)),
0.14/0.37	  inference(rectify,[],[f1])).
0.14/0.37	thf(f1,axiom,(
0.14/0.37	  ((^[X0 : $o, X1 : $i > $i, X2 : $i > $i] : (epsii @ (^[X3 : $i > $i] : ((X0 & (X1 = X3)) | ((X2 = X3) & ~X0))))) = if)),
0.14/0.37	  file('/export/starexec/sandbox/tmp/tmp.3zX2WE2mTp/Vampire---4.8_29745',ifd)).
0.14/0.37	thf(f18,plain,(
0.14/0.37	  ((if @ $true @ sK0 @ sK1) != sK0) | (sK1 != (if @ $false @ sK0 @ sK1))),
0.14/0.37	  inference(cnf_transformation,[],[f15])).
0.14/0.37	thf(f15,plain,(
0.14/0.37	  ((if @ $true @ sK0 @ sK1) != sK0) | (sK1 != (if @ $false @ sK0 @ sK1))),
0.14/0.37	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f14])).
0.14/0.37	thf(f14,plain,(
0.14/0.37	  ? [X0 : $i > $i,X1 : $i > $i] : (((if @ $true @ X0 @ X1) != X0) | ((if @ $false @ X0 @ X1) != X1)) => (((if @ $true @ sK0 @ sK1) != sK0) | (sK1 != (if @ $false @ sK0 @ sK1)))),
0.14/0.37	  introduced(choice_axiom,[])).
0.14/0.37	thf(f13,plain,(
0.14/0.37	  ? [X0 : $i > $i,X1 : $i > $i] : (((if @ $true @ X0 @ X1) != X0) | ((if @ $false @ X0 @ X1) != X1))),
0.14/0.37	  inference(ennf_transformation,[],[f9])).
0.14/0.37	thf(f9,plain,(
0.14/0.37	  ~! [X0 : $i > $i,X1 : $i > $i] : (((if @ $false @ X0 @ X1) = X1) & ((if @ $true @ X0 @ X1) = X0))),
0.14/0.37	  inference(fool_elimination,[],[f8])).
0.14/0.37	thf(f8,plain,(
0.14/0.37	  ~! [X0 : $i > $i,X1 : $i > $i] : (((if @ $true @ X0 @ X1) = X0) & ((if @ $false @ X0 @ X1) = X1))),
0.14/0.37	  inference(rectify,[],[f3])).
0.14/0.37	thf(f3,negated_conjecture,(
0.14/0.37	  ~! [X1 : $i > $i,X2 : $i > $i] : (((if @ $true @ X1 @ X2) = X1) & ((if @ $false @ X1 @ X2) = X2))),
0.14/0.37	  inference(negated_conjecture,[],[f2])).
0.14/0.37	thf(f2,conjecture,(
0.14/0.37	  ! [X1 : $i > $i,X2 : $i > $i] : (((if @ $true @ X1 @ X2) = X1) & ((if @ $false @ X1 @ X2) = X2))),
0.14/0.37	  file('/export/starexec/sandbox/tmp/tmp.3zX2WE2mTp/Vampire---4.8_29745',conj)).
0.14/0.37	% SZS output end Proof for Vampire---4
0.14/0.37	% (29855)------------------------------
0.14/0.37	% (29855)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.37	% (29855)Termination reason: Refutation
0.14/0.37	
0.14/0.37	% (29855)Memory used [KB]: 5500
0.14/0.37	% (29855)Time elapsed: 0.006 s
0.14/0.37	% (29855)Instructions burned: 4 (million)
0.14/0.37	% (29855)------------------------------
0.14/0.37	% (29855)------------------------------
0.14/0.37	% (29854)Success in time 0.019 s
0.14/0.37	% Vampire---4.8 exiting
0.14/0.38	EOF