0.05/0.13	% Problem    : Vampire---4.8_12216 : TPTP v0.0.0. Released v0.0.0.
0.05/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.14/0.36	% Computer : n015.cluster.edu
0.14/0.36	% Model    : x86_64 x86_64
0.14/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory   : 8042.1875MB
0.14/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 1440
0.14/0.36	% WCLimit    : 180
0.14/0.36	% DateTime   : Mon Jul  3 13:10:25 EDT 2023
0.14/0.36	% CPUTime    : 
0.14/0.36	This is a THF_ problem
0.14/0.36	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.b9iL4E2yIQ/Vampire---4.8_12216 -m 12000  -t 180
0.21/0.38	% (12426)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.21/0.38	% (12429)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.21/0.38	% (12428)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi)
0.21/0.38	% (12427)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi)
0.21/0.38	% (12425)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.21/0.38	% (12432)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi)
0.21/0.39	% (12431)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi)
0.21/0.39	% (12430)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi)
0.21/0.39	% (12432)Refutation not found, incomplete strategy
0.21/0.39	% (12432)------------------------------
0.21/0.39	% (12432)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.39	% (12432)Termination reason: Refutation not found, incomplete strategy
0.21/0.39	
0.21/0.39	
0.21/0.39	% (12432)Memory used [KB]: 5500
0.21/0.39	% (12432)Time elapsed: 0.004 s
0.21/0.39	% (12432)Instructions burned: 2 (million)
0.21/0.39	% (12432)------------------------------
0.21/0.39	% (12432)------------------------------
0.21/0.39	% (12426)Refutation not found, incomplete strategy
0.21/0.39	% (12426)------------------------------
0.21/0.39	% (12426)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.39	% (12426)Termination reason: Refutation not found, incomplete strategy
0.21/0.39	
0.21/0.39	
0.21/0.39	% (12426)Memory used [KB]: 5500
0.21/0.39	% (12426)Time elapsed: 0.004 s
0.21/0.39	% (12426)Instructions burned: 2 (million)
0.21/0.39	% (12426)------------------------------
0.21/0.39	% (12426)------------------------------
0.21/0.39	% (12431)Instruction limit reached!
0.21/0.39	% (12431)------------------------------
0.21/0.39	% (12431)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.39	% (12431)Termination reason: Unknown
0.21/0.39	% (12431)Termination phase: Saturation
0.21/0.39	
0.21/0.39	% (12431)Memory used [KB]: 5500
0.21/0.39	% (12431)Time elapsed: 0.004 s
0.21/0.39	% (12431)Instructions burned: 4 (million)
0.21/0.39	% (12431)------------------------------
0.21/0.39	% (12431)------------------------------
0.21/0.39	% (12428)First to succeed.
0.21/0.39	% (12427)Also succeeded, but the first one will report.
0.21/0.39	% (12428)Refutation found. Thanks to Tanya!
0.21/0.39	% SZS status Theorem for Vampire---4
0.21/0.39	% SZS output start Proof for Vampire---4
0.21/0.39	thf(func_def_1, type, cS: $i > $i).
0.21/0.39	thf(func_def_2, type, cEVEN1: $i > $o).
0.21/0.39	thf(func_def_3, type, cODD1: $i > $o).
0.21/0.39	thf(func_def_15, type, sK1: ($i > $o) > $i).
0.21/0.39	thf(func_def_16, type, ph2: !>[X0: $tType]:(X0)).
0.21/0.39	thf(f136,plain,(
0.21/0.39	  $false),
0.21/0.39	  inference(trivial_inequality_removal,[],[f133])).
0.21/0.39	thf(f133,plain,(
0.21/0.39	  ((cS @ c0) != (cS @ c0))),
0.21/0.39	  inference(superposition,[],[f111,f70])).
0.21/0.39	thf(f70,plain,(
0.21/0.39	  ((cS @ c0) = (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (~ ((cS @ c0) = Y0)))))))),
0.21/0.39	  inference(subsumption_resolution,[],[f65,f16])).
0.21/0.39	thf(f16,plain,(
0.21/0.39	  ( ! [X0 : $i] : ((c0 != (cS @ X0))) )),
0.21/0.39	  inference(cnf_transformation,[],[f13])).
0.21/0.39	thf(f13,plain,(
0.21/0.39	  ! [X0] : (c0 != (cS @ X0)) & ((cODD1 @ (cS @ c0)) != $true) & ! [X1,X2] : (((cS @ X2) != (cS @ X1)) | (X1 = X2))),
0.21/0.39	  inference(flattening,[],[f12])).
0.21/0.39	thf(f12,plain,(
0.21/0.39	  ((cODD1 @ (cS @ c0)) != $true) & (! [X0] : (c0 != (cS @ X0)) & ! [X1,X2] : (((cS @ X2) != (cS @ X1)) | (X1 = X2)))),
0.21/0.39	  inference(ennf_transformation,[],[f7])).
0.21/0.39	thf(f7,plain,(
0.21/0.39	  ~((! [X0] : (c0 != (cS @ X0)) & ! [X1,X2] : (((cS @ X2) = (cS @ X1)) => (X1 = X2))) => ((cODD1 @ (cS @ c0)) = $true))),
0.21/0.39	  inference(fool_elimination,[],[f6])).
0.21/0.39	thf(f6,plain,(
0.21/0.39	  ~((! [X0] : (c0 != (cS @ X0)) & ! [X1,X2] : (((cS @ X2) = (cS @ X1)) => (X1 = X2))) => (cODD1 @ (cS @ c0)))),
0.21/0.39	  inference(rectify,[],[f4])).
0.21/0.39	thf(f4,negated_conjecture,(
0.21/0.39	  ~((! [X5] : (c0 != (cS @ X5)) & ! [X4,X3] : (((cS @ X3) = (cS @ X4)) => (X3 = X4))) => (cODD1 @ (cS @ c0)))),
0.21/0.39	  inference(negated_conjecture,[],[f3])).
0.21/0.39	thf(f3,conjecture,(
0.21/0.39	  (! [X5] : (c0 != (cS @ X5)) & ! [X4,X3] : (((cS @ X3) = (cS @ X4)) => (X3 = X4))) => (cODD1 @ (cS @ c0))),
0.21/0.39	  file('/export/starexec/sandbox2/tmp/tmp.b9iL4E2yIQ/Vampire---4.8_12216',cTHM406)).
0.21/0.39	thf(f65,plain,(
0.21/0.39	  (c0 = (cS @ c0)) | ((cS @ c0) = (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (~ ((cS @ c0) = Y0)))))))),
0.21/0.39	  inference(equality_proxy_clausification,[],[f64])).
0.21/0.39	thf(f64,plain,(
0.21/0.39	  ($true = ((cS @ c0) = c0)) | ((cS @ c0) = (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (~ ((cS @ c0) = Y0)))))))),
0.21/0.39	  inference(not_proxy_clausification,[],[f63])).
0.21/0.39	thf(f63,plain,(
0.21/0.39	  ((~ ((cS @ c0) = c0)) = $false) | ((cS @ c0) = (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (~ ((cS @ c0) = Y0)))))))),
0.21/0.39	  inference(beta_eta_normalization,[],[f50])).
0.21/0.39	thf(f50,plain,(
0.21/0.39	  ((cS @ c0) = (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (~ ((cS @ c0) = Y0))))))) | ($false = ((^[Y0 : $i]: (~ ((cS @ c0) = Y0))) @ c0))),
0.21/0.39	  inference(leibniz_equality_elimination,[],[f29])).
0.21/0.39	thf(f29,plain,(
0.21/0.39	  ( ! [X1 : $i > $o] : (($false = (X1 @ (cS @ (cS @ (sK1 @ X1))))) | ((X1 @ c0) = $false) | ($true = (X1 @ (cS @ c0)))) )),
0.21/0.39	  inference(binary_proxy_clausification,[],[f28])).
0.21/0.39	thf(f28,plain,(
0.21/0.39	  ( ! [X1 : $i > $o] : (((X1 @ c0) = $false) | ($true = (X1 @ (cS @ c0))) | ($false = ((X1 @ (sK1 @ X1)) => (X1 @ (cS @ (cS @ (sK1 @ X1))))))) )),
0.21/0.39	  inference(beta_eta_normalization,[],[f27])).
0.21/0.39	thf(f27,plain,(
0.21/0.39	  ( ! [X1 : $i > $o] : (((X1 @ c0) = $false) | ($true = (X1 @ (cS @ c0))) | ($false = ((^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ (cS @ Y0))))) @ (sK1 @ X1)))) )),
0.21/0.39	  inference(sigma_clausification,[],[f26])).
0.21/0.39	thf(f26,plain,(
0.21/0.39	  ( ! [X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ (cS @ Y0))))))) | ($true = (X1 @ (cS @ c0))) | ((X1 @ c0) = $false)) )),
0.21/0.39	  inference(binary_proxy_clausification,[],[f25])).
0.21/0.39	thf(f25,plain,(
0.21/0.39	  ( ! [X1 : $i > $o] : (($true = (X1 @ (cS @ c0))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ (cS @ Y0)))))) & (X1 @ c0)))) )),
0.21/0.39	  inference(binary_proxy_clausification,[],[f24])).
0.21/0.39	thf(f24,plain,(
0.21/0.39	  ( ! [X1 : $i > $o] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X1 @ (cS @ (cS @ Y0)))))) & (X1 @ c0)) => (X1 @ (cS @ c0))))) )),
0.21/0.39	  inference(beta_eta_normalization,[],[f23])).
0.21/0.39	thf(f23,plain,(
0.21/0.39	  ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ (cS @ Y1)))))) & (Y0 @ c0)) => (Y0 @ (cS @ c0)))) @ X1))) )),
0.21/0.39	  inference(pi_clausification,[],[f22])).
0.21/0.39	thf(f22,plain,(
0.21/0.39	  ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ (cS @ Y1)))))) & (Y0 @ c0)) => (Y0 @ (cS @ c0))))))),
0.21/0.39	  inference(not_proxy_clausification,[],[f21])).
0.21/0.39	thf(f21,plain,(
0.21/0.39	  ($true != (~ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (Y0 @ (cS @ (cS @ Y1)))))) & (Y0 @ c0)) => (Y0 @ (cS @ c0)))))))),
0.21/0.39	  inference(beta_eta_normalization,[],[f20])).
0.21/0.39	thf(f20,plain,(
0.21/0.39	  ($true != ((^[Y0 : $i]: (~ ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (cS @ (cS @ Y3)))))) & (Y2 @ c0)) => (Y2 @ Y1))))) @ Y0))) @ (cS @ c0)))),
0.21/0.39	  inference(definition_unfolding,[],[f15,f19])).
0.21/0.39	thf(f19,plain,(
0.21/0.39	  (cODD1 = (^[Y0 : $i]: (~ ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y2 @ (cS @ (cS @ Y3)))))) & (Y2 @ c0)) => (Y2 @ Y1))))) @ Y0))))),
0.21/0.39	  inference(definition_unfolding,[],[f18,f17])).
0.21/0.39	thf(f17,plain,(
0.21/0.39	  (cEVEN1 = (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (cS @ (cS @ Y2)))))) & (Y1 @ c0)) => (Y1 @ Y0))))))),
0.21/0.39	  inference(cnf_transformation,[],[f11])).
0.21/0.39	thf(f11,plain,(
0.21/0.39	  (cEVEN1 = (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y1 @ (cS @ (cS @ Y2)))))) & (Y1 @ c0)) => (Y1 @ Y0))))))),
0.21/0.39	  inference(fool_elimination,[],[f10])).
0.21/0.39	thf(f10,plain,(
0.21/0.39	  (cEVEN1 = (^[X0 : $i] : (! [X1 : $i > $o] : (((X1 @ c0) & ! [X2] : ((X1 @ X2) => (X1 @ (cS @ (cS @ X2))))) => (X1 @ X0)))))),
0.21/0.39	  inference(rectify,[],[f1])).
0.21/0.39	thf(f1,axiom,(
0.21/0.39	  (cEVEN1 = (^[X0 : $i] : (! [X1 : $i > $o] : (((X1 @ c0) & ! [X2] : ((X1 @ X2) => (X1 @ (cS @ (cS @ X2))))) => (X1 @ X0)))))),
0.21/0.39	  file('/export/starexec/sandbox2/tmp/tmp.b9iL4E2yIQ/Vampire---4.8_12216',cEVEN1_def)).
0.21/0.39	thf(f18,plain,(
0.21/0.39	  (cODD1 = (^[Y0 : $i]: (~ (cEVEN1 @ Y0))))),
0.21/0.39	  inference(cnf_transformation,[],[f9])).
0.21/0.39	thf(f9,plain,(
0.21/0.39	  (cODD1 = (^[Y0 : $i]: (~ (cEVEN1 @ Y0))))),
0.21/0.39	  inference(fool_elimination,[],[f8])).
0.21/0.39	thf(f8,plain,(
0.21/0.39	  ((^[X0 : $i] : (~(cEVEN1 @ X0))) = cODD1)),
0.21/0.39	  inference(rectify,[],[f2])).
0.21/0.39	thf(f2,axiom,(
0.21/0.39	  ((^[X0 : $i] : (~(cEVEN1 @ X0))) = cODD1)),
0.21/0.39	  file('/export/starexec/sandbox2/tmp/tmp.b9iL4E2yIQ/Vampire---4.8_12216',cODD1_def)).
0.21/0.39	thf(f15,plain,(
0.21/0.39	  ((cODD1 @ (cS @ c0)) != $true)),
0.21/0.39	  inference(cnf_transformation,[],[f13])).
0.21/0.39	thf(f111,plain,(
0.21/0.39	  ( ! [X0 : $i] : (((cS @ c0) != (cS @ X0))) )),
0.21/0.39	  inference(subsumption_resolution,[],[f103,f14])).
0.21/0.39	thf(f14,plain,(
0.21/0.39	  ( ! [X2 : $i,X1 : $i] : (((cS @ X2) != (cS @ X1)) | (X1 = X2)) )),
0.21/0.39	  inference(cnf_transformation,[],[f13])).
0.21/0.39	thf(f103,plain,(
0.21/0.39	  ( ! [X0 : $i] : ((c0 != X0) | ((cS @ c0) != (cS @ X0))) )),
0.21/0.39	  inference(superposition,[],[f16,f91])).
0.21/0.39	thf(f91,plain,(
0.21/0.39	  ( ! [X0 : $i] : (((cS @ (sK1 @ (^[Y0 : $i]: (~ ((cS @ c0) = Y0))))) = X0) | ((cS @ c0) != (cS @ X0))) )),
0.21/0.39	  inference(superposition,[],[f14,f70])).
0.21/0.39	% SZS output end Proof for Vampire---4
0.21/0.39	% (12428)------------------------------
0.21/0.39	% (12428)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.39	% (12428)Termination reason: Refutation
0.21/0.39	
0.21/0.39	% (12428)Memory used [KB]: 5500
0.21/0.39	% (12428)Time elapsed: 0.011 s
0.21/0.39	% (12428)Instructions burned: 9 (million)
0.21/0.39	% (12428)------------------------------
0.21/0.39	% (12428)------------------------------
0.21/0.39	% (12424)Success in time 0.024 s
0.21/0.40	% Vampire---4.8 exiting
0.21/0.40	EOF