0.11/0.16	% Problem    : Vampire---4.8_12462 : TPTP v0.0.0. Released v0.0.0.
0.14/0.18	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.15/0.39	% Computer : n004.cluster.edu
0.15/0.39	% Model    : x86_64 x86_64
0.15/0.39	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.39	% Memory   : 8042.1875MB
0.15/0.39	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.39	% CPULimit   : 1440
0.15/0.39	% WCLimit    : 180
0.15/0.39	% DateTime   : Mon Jul  3 12:40:30 EDT 2023
0.15/0.40	% CPUTime    : 
0.15/0.40	This is a THF_ problem
0.15/0.40	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.nrE2KSB30V/Vampire---4.8_12462 -m 12000  -t 180
0.15/0.41	ipcrm: permission denied for id (980811778)
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0.15/0.42	ipcrm: permission denied for id (982089735)
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0.22/0.50	ipcrm: permission denied for id (987922502)
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0.22/0.50	ipcrm: permission denied for id (988217416)
0.22/0.50	ipcrm: permission denied for id (988414026)
0.22/0.51	ipcrm: permission denied for id (988348491)
0.22/0.51	ipcrm: permission denied for id (989233231)
0.22/0.51	ipcrm: permission denied for id (989495376)
0.22/0.51	ipcrm: permission denied for id (989364305)
0.22/0.52	ipcrm: permission denied for id (990019669)
0.22/0.52	ipcrm: permission denied for id (990052438)
0.22/0.52	ipcrm: permission denied for id (990216280)
0.22/0.52	ipcrm: permission denied for id (990314586)
0.22/0.52	ipcrm: permission denied for id (990347355)
0.22/0.53	ipcrm: permission denied for id (990576735)
0.22/0.53	ipcrm: permission denied for id (990773346)
0.22/0.53	ipcrm: permission denied for id (990904419)
0.22/0.54	ipcrm: permission denied for id (990937189)
0.22/0.54	ipcrm: permission denied for id (991002726)
0.22/0.55	ipcrm: permission denied for id (991953004)
0.22/0.55	ipcrm: permission denied for id (992051310)
0.22/0.55	ipcrm: permission denied for id (992084079)
0.22/0.55	ipcrm: permission denied for id (992149617)
0.22/0.55	ipcrm: permission denied for id (992182386)
0.22/0.55	ipcrm: permission denied for id (992215155)
0.35/0.56	ipcrm: permission denied for id (992542842)
0.35/0.56	ipcrm: permission denied for id (992608379)
0.35/0.57	ipcrm: permission denied for id (992673916)
0.35/0.57	ipcrm: permission denied for id (992706685)
0.35/0.57	ipcrm: permission denied for id (992804990)
0.35/0.57	ipcrm: permission denied for id (992870527)
0.39/0.58	% (12708)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1798ds/17Mi)
0.39/0.59	% (12704)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1798ds/96Mi)
0.39/0.59	% (12706)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1798ds/34Mi)
0.39/0.59	% (12707)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 (1798ds/385Mi)
0.39/0.59	% (12709)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 (1798ds/74Mi)
0.39/0.59	% (12705)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1798ds/36Mi)
0.39/0.59	% (12710)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1798ds/4Mi)
0.39/0.59	% (12711)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 (1798ds/915Mi)
0.39/0.59	% (12708)Instruction limit reached!
0.39/0.59	% (12708)------------------------------
0.39/0.59	% (12708)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.39/0.59	% (12708)Termination reason: Unknown
0.39/0.59	% (12708)Termination phase: Saturation
0.39/0.59	
0.39/0.59	% (12708)Memory used [KB]: 5756
0.39/0.59	% (12708)Time elapsed: 0.008 s
0.39/0.59	% (12708)Instructions burned: 17 (million)
0.39/0.59	% (12708)------------------------------
0.39/0.59	% (12708)------------------------------
0.39/0.59	% (12710)Instruction limit reached!
0.39/0.59	% (12710)------------------------------
0.39/0.59	% (12710)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.39/0.59	% (12710)Termination reason: Unknown
0.39/0.59	% (12710)Termination phase: Saturation
0.39/0.59	
0.39/0.59	% (12710)Memory used [KB]: 5500
0.39/0.59	% (12710)Time elapsed: 0.005 s
0.39/0.59	% (12710)Instructions burned: 5 (million)
0.39/0.59	% (12710)------------------------------
0.39/0.59	% (12710)------------------------------
0.39/0.60	% (12712)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 (1798ds/21Mi)
0.39/0.60	% (12713)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1798ds/7Mi)
0.39/0.60	% (12711)First to succeed.
0.39/0.61	% (12712)Instruction limit reached!
0.39/0.61	% (12712)------------------------------
0.39/0.61	% (12712)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.39/0.61	% (12712)Termination reason: Unknown
0.39/0.61	% (12712)Termination phase: Saturation
0.39/0.61	
0.39/0.61	% (12712)Memory used [KB]: 5756
0.39/0.61	% (12712)Time elapsed: 0.010 s
0.39/0.61	% (12712)Instructions burned: 22 (million)
0.39/0.61	% (12712)------------------------------
0.39/0.61	% (12712)------------------------------
0.39/0.61	% (12706)Instruction limit reached!
0.39/0.61	% (12706)------------------------------
0.39/0.61	% (12706)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.39/0.61	% (12706)Termination reason: Unknown
0.39/0.61	% (12706)Termination phase: Saturation
0.39/0.61	
0.39/0.61	% (12706)Memory used [KB]: 5756
0.39/0.61	% (12706)Time elapsed: 0.023 s
0.39/0.61	% (12706)Instructions burned: 34 (million)
0.39/0.61	% (12706)------------------------------
0.39/0.61	% (12706)------------------------------
0.39/0.61	% (12713)Instruction limit reached!
0.39/0.61	% (12713)------------------------------
0.39/0.61	% (12713)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.39/0.61	% (12713)Termination reason: Unknown
0.39/0.61	% (12713)Termination phase: Saturation
0.39/0.61	
0.39/0.61	% (12713)Memory used [KB]: 5628
0.39/0.61	% (12713)Time elapsed: 0.007 s
0.39/0.61	% (12713)Instructions burned: 8 (million)
0.39/0.61	% (12713)------------------------------
0.39/0.61	% (12713)------------------------------
0.39/0.61	% (12705)Instruction limit reached!
0.39/0.61	% (12705)------------------------------
0.39/0.61	% (12705)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.39/0.61	% (12705)Termination reason: Unknown
0.39/0.61	% (12705)Termination phase: Saturation
0.39/0.61	
0.39/0.61	% (12705)Memory used [KB]: 5756
0.39/0.61	% (12705)Time elapsed: 0.026 s
0.39/0.61	% (12705)Instructions burned: 36 (million)
0.39/0.61	% (12705)------------------------------
0.39/0.61	% (12705)------------------------------
0.39/0.61	% (12707)Also succeeded, but the first one will report.
0.39/0.61	% (12711)Refutation found. Thanks to Tanya!
0.39/0.61	% SZS status Theorem for Vampire---4
0.39/0.61	% SZS output start Proof for Vampire---4
0.39/0.61	thf(func_def_0, type, cQ_5: $i > $i > $i > $o).
0.39/0.61	thf(func_def_1, type, f: $i > $i).
0.39/0.61	thf(func_def_2, type, cP_4: $i > $i > $o).
0.39/0.61	thf(func_def_3, type, cQ_4: $i > $i > $i > $o).
0.39/0.61	thf(func_def_8, type, cP_3: $i > $i > $o).
0.39/0.61	thf(func_def_9, type, cQ_3: $i > $i > $i > $o).
0.39/0.61	thf(func_def_10, type, cP_2: $i > $i > $o).
0.39/0.61	thf(func_def_11, type, cQ_2: $i > $i > $i > $o).
0.39/0.61	thf(func_def_12, type, cP_1: $i > $i > $o).
0.39/0.61	thf(func_def_13, type, cQ_1: $i > $i > $i > $o).
0.39/0.61	thf(f115,plain,(
0.39/0.61	  $false),
0.39/0.61	  inference(avatar_sat_refutation,[],[f52,f69,f86,f114])).
0.39/0.61	thf(f114,plain,(
0.39/0.61	  ~spl0_1),
0.39/0.61	  inference(avatar_contradiction_clause,[],[f113])).
0.39/0.61	thf(f113,plain,(
0.39/0.61	  $false | ~spl0_1),
0.39/0.61	  inference(subsumption_resolution,[],[f112,f30])).
0.39/0.61	thf(f30,plain,(
0.39/0.61	  ((cP_3 @ c @ c) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f7,plain,(
0.39/0.61	  ! [X0] : ((cP_4 @ d @ X0) = $true) & ((cP_3 @ b @ b) = $true) & ! [X1,X2,X3,X4,X5,X6] : (((cQ_1 @ X1 @ X3 @ X2) != $true) | ((cP_1 @ (f @ X1) @ X5) != $true) | ((cQ_2 @ X5 @ X4 @ X6) = $true) | ((cP_1 @ (f @ X2) @ X6) != $true) | ((cP_1 @ (f @ X3) @ X4) != $true)) & ((cP_3 @ c @ c) = $true) & ! [X7] : ((cP_3 @ d @ X7) = $true) & ((cP_2 @ b @ b) = $true) & ((cP_4 @ c @ c) = $true) & ! [X8] : ((cP_1 @ d @ X8) = $true) & ((cP_1 @ c @ c) = $true) & ! [X9,X10,X11,X12,X13,X14] : (((cP_2 @ (f @ X9) @ X14) != $true) | ((cQ_3 @ X14 @ X13 @ X10) = $true) | ((cP_2 @ (f @ X11) @ X10) != $true) | ((cP_2 @ (f @ X12) @ X13) != $true) | ((cQ_2 @ X9 @ X12 @ X11) != $true)) & ((cP_1 @ b @ b) = $true) & ((cP_2 @ c @ c) = $true) & ! [X15,X16] : (((cP_4 @ (f @ X15) @ X16) = $true) | ((cP_4 @ X15 @ X16) != $true)) & ! [X17,X18] : (((cP_3 @ (f @ X17) @ X18) = $true) | ((cP_3 @ X17 @ X18) != $true)) & ! [X19,X20] : (((cP_2 @ (f @ X20) @ X19) = $true) | ((cP_2 @ X20 @ X19) != $true)) & ! [X21,X22] : (((cP_1 @ X21 @ X22) != $true) | ((cP_1 @ (f @ X21) @ X22) = $true)) & ((cP_1 @ a @ a) = $true) & ((cP_2 @ a @ a) = $true) & ((cP_4 @ b @ b) = $true) & ! [X23,X24,X25,X26,X27,X28] : (((cP_4 @ (f @ X28) @ X25) != $true) | ((cQ_4 @ X24 @ X26 @ X28) != $true) | ((cQ_5 @ X23 @ X27 @ X25) = $true) | ((cP_4 @ (f @ X26) @ X27) != $true) | ((cP_4 @ (f @ X24) @ X23) != $true)) & ((cQ_1 @ a @ b @ c) = $true) & ! [X29,X30,X31] : ($true != (cQ_5 @ X30 @ X31 @ X29)) & ((cP_4 @ a @ a) = $true) & ((cP_3 @ a @ a) = $true) & ! [X32,X33,X34,X35,X36,X37] : (((cQ_3 @ X33 @ X32 @ X34) != $true) | ((cP_3 @ (f @ X34) @ X37) != $true) | ((cP_3 @ (f @ X33) @ X35) != $true) | ((cP_3 @ (f @ X32) @ X36) != $true) | ((cQ_4 @ X35 @ X36 @ X37) = $true)) & ! [X38] : ((cP_2 @ d @ X38) = $true)),
0.39/0.61	  inference(rectify,[],[f6])).
0.39/0.61	thf(f6,plain,(
0.39/0.61	  ! [X21] : ((cP_4 @ d @ X21) = $true) & ((cP_3 @ b @ b) = $true) & ! [X29,X28,X27,X32,X31,X30] : (((cQ_1 @ X29 @ X27 @ X28) != $true) | ((cP_1 @ (f @ X29) @ X31) != $true) | ((cQ_2 @ X31 @ X32 @ X30) = $true) | ((cP_1 @ (f @ X28) @ X30) != $true) | ((cP_1 @ (f @ X27) @ X32) != $true)) & ((cP_3 @ c @ c) = $true) & ! [X1] : ((cP_3 @ d @ X1) = $true) & ((cP_2 @ b @ b) = $true) & ((cP_4 @ c @ c) = $true) & ! [X18] : ((cP_1 @ d @ X18) = $true) & ((cP_1 @ c @ c) = $true) & ! [X6,X7,X3,X4,X5,X2] : (((cP_2 @ (f @ X6) @ X2) != $true) | ((cQ_3 @ X2 @ X5 @ X7) = $true) | ((cP_2 @ (f @ X3) @ X7) != $true) | ((cP_2 @ (f @ X4) @ X5) != $true) | ((cQ_2 @ X6 @ X4 @ X3) != $true)) & ((cP_1 @ b @ b) = $true) & ((cP_2 @ c @ c) = $true) & ! [X19,X20] : (((cP_4 @ (f @ X19) @ X20) = $true) | ((cP_4 @ X19 @ X20) != $true)) & ! [X25,X26] : (((cP_3 @ (f @ X25) @ X26) = $true) | ((cP_3 @ X25 @ X26) != $true)) & ! [X8,X9] : (((cP_2 @ (f @ X9) @ X8) = $true) | ((cP_2 @ X9 @ X8) != $true)) & ! [X11,X10] : (((cP_1 @ X11 @ X10) != $true) | ((cP_1 @ (f @ X11) @ X10) = $true)) & ((cP_1 @ a @ a) = $true) & ((cP_2 @ a @ a) = $true) & ((cP_4 @ b @ b) = $true) & ! [X14,X15,X17,X12,X16,X13] : (((cP_4 @ (f @ X13) @ X17) != $true) | ((cQ_4 @ X15 @ X12 @ X13) != $true) | ((cQ_5 @ X14 @ X16 @ X17) = $true) | ((cP_4 @ (f @ X12) @ X16) != $true) | ((cP_4 @ (f @ X15) @ X14) != $true)) & ((cQ_1 @ a @ b @ c) = $true) & ! [X22,X23,X24] : ((cQ_5 @ X23 @ X24 @ X22) != $true) & ((cP_4 @ a @ a) = $true) & ((cP_3 @ a @ a) = $true) & ! [X35,X34,X33,X38,X37,X36] : (((cQ_3 @ X34 @ X35 @ X33) != $true) | ((cP_3 @ (f @ X33) @ X36) != $true) | ((cP_3 @ (f @ X34) @ X38) != $true) | ((cP_3 @ (f @ X35) @ X37) != $true) | ((cQ_4 @ X38 @ X37 @ X36) = $true)) & ! [X0] : ((cP_2 @ d @ X0) = $true)),
0.39/0.61	  inference(flattening,[],[f5])).
0.39/0.61	thf(f5,plain,(
0.39/0.61	  ~~(! [X0] : ((cP_2 @ d @ X0) = $true) & ! [X1] : ((cP_3 @ d @ X1) = $true) & ! [X2,X3,X4,X5,X6,X7] : (~((cP_2 @ (f @ X4) @ X5) = $true) | ((cQ_3 @ X2 @ X5 @ X7) = $true) | ~((cP_2 @ (f @ X3) @ X7) = $true) | ~((cP_2 @ (f @ X6) @ X2) = $true) | ~((cQ_2 @ X6 @ X4 @ X3) = $true)) & ((cP_1 @ c @ c) = $true) & ! [X8,X9] : (~((cP_2 @ X9 @ X8) = $true) | ((cP_2 @ (f @ X9) @ X8) = $true)) & ! [X10,X11] : (((cP_1 @ (f @ X11) @ X10) = $true) | ~((cP_1 @ X11 @ X10) = $true)) & ((cP_2 @ b @ b) = $true) & ((cP_4 @ a @ a) = $true) & ((cP_2 @ a @ a) = $true) & ! [X12,X13,X14,X15,X16,X17] : (~((cP_4 @ (f @ X12) @ X16) = $true) | ((cQ_5 @ X14 @ X16 @ X17) = $true) | ~((cQ_4 @ X15 @ X12 @ X13) = $true) | ~((cP_4 @ (f @ X13) @ X17) = $true) | ~((cP_4 @ (f @ X15) @ X14) = $true)) & ! [X18] : ((cP_1 @ d @ X18) = $true) & ((cP_3 @ a @ a) = $true) & ((cP_3 @ c @ c) = $true) & ! [X19,X20] : (~((cP_4 @ X19 @ X20) = $true) | ((cP_4 @ (f @ X19) @ X20) = $true)) & ((cP_3 @ b @ b) = $true) & ((cP_1 @ b @ b) = $true) & ! [X21] : ((cP_4 @ d @ X21) = $true) & ! [X22,X23,X24] : ~((cQ_5 @ X23 @ X24 @ X22) = $true) & ((cP_1 @ a @ a) = $true) & ! [X25,X26] : (~((cP_3 @ X25 @ X26) = $true) | ((cP_3 @ (f @ X25) @ X26) = $true)) & ((cP_2 @ c @ c) = $true) & ! [X27,X28,X29,X30,X31,X32] : (((cQ_2 @ X31 @ X32 @ X30) = $true) | ~((cQ_1 @ X29 @ X27 @ X28) = $true) | ~((cP_1 @ (f @ X29) @ X31) = $true) | ~((cP_1 @ (f @ X28) @ X30) = $true) | ~((cP_1 @ (f @ X27) @ X32) = $true)) & ((cP_4 @ b @ b) = $true) & ! [X33,X34,X35,X36,X37,X38] : (~((cP_3 @ (f @ X34) @ X38) = $true) | ~((cQ_3 @ X34 @ X35 @ X33) = $true) | ~((cP_3 @ (f @ X33) @ X36) = $true) | ((cQ_4 @ X38 @ X37 @ X36) = $true) | ~((cP_3 @ (f @ X35) @ X37) = $true)) & ((cQ_1 @ a @ b @ c) = $true) & ((cP_4 @ c @ c) = $true))),
0.39/0.61	  inference(fool_elimination,[],[f4])).
0.39/0.61	thf(f4,plain,(
0.39/0.61	  ~~(! [X0] : (cP_2 @ d @ X0) & ! [X1] : (cP_3 @ d @ X1) & ! [X2,X3,X4,X5,X6,X7] : (~(cP_2 @ (f @ X4) @ X5) | (cQ_3 @ X2 @ X5 @ X7) | ~(cP_2 @ (f @ X3) @ X7) | ~(cP_2 @ (f @ X6) @ X2) | ~(cQ_2 @ X6 @ X4 @ X3)) & (cP_1 @ c @ c) & ! [X8,X9] : (~(cP_2 @ X9 @ X8) | (cP_2 @ (f @ X9) @ X8)) & ! [X10,X11] : ((cP_1 @ (f @ X11) @ X10) | ~(cP_1 @ X11 @ X10)) & (cP_2 @ b @ b) & (cP_4 @ a @ a) & (cP_2 @ a @ a) & ! [X12,X13,X14,X15,X16,X17] : (~(cP_4 @ (f @ X12) @ X16) | (cQ_5 @ X14 @ X16 @ X17) | ~(cQ_4 @ X15 @ X12 @ X13) | ~(cP_4 @ (f @ X13) @ X17) | ~(cP_4 @ (f @ X15) @ X14)) & ! [X18] : (cP_1 @ d @ X18) & (cP_3 @ a @ a) & (cP_3 @ c @ c) & ! [X19,X20] : (~(cP_4 @ X19 @ X20) | (cP_4 @ (f @ X19) @ X20)) & (cP_3 @ b @ b) & (cP_1 @ b @ b) & ! [X21] : (cP_4 @ d @ X21) & ! [X22,X23,X24] : ~(cQ_5 @ X23 @ X24 @ X22) & (cP_1 @ a @ a) & ! [X25,X26] : (~(cP_3 @ X25 @ X26) | (cP_3 @ (f @ X25) @ X26)) & (cP_2 @ c @ c) & ! [X27,X28,X29,X30,X31,X32] : ((cQ_2 @ X31 @ X32 @ X30) | ~(cQ_1 @ X29 @ X27 @ X28) | ~(cP_1 @ (f @ X29) @ X31) | ~(cP_1 @ (f @ X28) @ X30) | ~(cP_1 @ (f @ X27) @ X32)) & (cP_4 @ b @ b) & ! [X33,X34,X35,X36,X37,X38] : (~(cP_3 @ (f @ X34) @ X38) | ~(cQ_3 @ X34 @ X35 @ X33) | ~(cP_3 @ (f @ X33) @ X36) | (cQ_4 @ X38 @ X37 @ X36) | ~(cP_3 @ (f @ X35) @ X37)) & (cQ_1 @ a @ b @ c) & (cP_4 @ c @ c))),
0.39/0.61	  inference(rectify,[],[f2])).
0.39/0.61	thf(f2,negated_conjecture,(
0.39/0.61	  ~~(! [X0] : (cP_2 @ d @ X0) & ! [X0] : (cP_3 @ d @ X0) & ! [X3,X2,X1,X4,X0,X5] : (~(cP_2 @ (f @ X1) @ X4) | (cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X2) @ X5) | ~(cP_2 @ (f @ X0) @ X3) | ~(cQ_2 @ X0 @ X1 @ X2)) & (cP_1 @ c @ c) & ! [X1,X0] : (~(cP_2 @ X0 @ X1) | (cP_2 @ (f @ X0) @ X1)) & ! [X1,X0] : ((cP_1 @ (f @ X0) @ X1) | ~(cP_1 @ X0 @ X1)) & (cP_2 @ b @ b) & (cP_4 @ a @ a) & (cP_2 @ a @ a) & ! [X1,X2,X3,X0,X4,X5] : (~(cP_4 @ (f @ X1) @ X4) | (cQ_5 @ X3 @ X4 @ X5) | ~(cQ_4 @ X0 @ X1 @ X2) | ~(cP_4 @ (f @ X2) @ X5) | ~(cP_4 @ (f @ X0) @ X3)) & ! [X0] : (cP_1 @ d @ X0) & (cP_3 @ a @ a) & (cP_3 @ c @ c) & ! [X0,X1] : (~(cP_4 @ X0 @ X1) | (cP_4 @ (f @ X0) @ X1)) & (cP_3 @ b @ b) & (cP_1 @ b @ b) & ! [X0] : (cP_4 @ d @ X0) & ! [X2,X0,X1] : ~(cQ_5 @ X0 @ X1 @ X2) & (cP_1 @ a @ a) & ! [X0,X1] : (~(cP_3 @ X0 @ X1) | (cP_3 @ (f @ X0) @ X1)) & (cP_2 @ c @ c) & ! [X1,X2,X0,X5,X3,X4] : ((cQ_2 @ X3 @ X4 @ X5) | ~(cQ_1 @ X0 @ X1 @ X2) | ~(cP_1 @ (f @ X0) @ X3) | ~(cP_1 @ (f @ X2) @ X5) | ~(cP_1 @ (f @ X1) @ X4)) & (cP_4 @ b @ b) & ! [X2,X0,X1,X5,X4,X3] : (~(cP_3 @ (f @ X0) @ X3) | ~(cQ_3 @ X0 @ X1 @ X2) | ~(cP_3 @ (f @ X2) @ X5) | (cQ_4 @ X3 @ X4 @ X5) | ~(cP_3 @ (f @ X1) @ X4)) & (cQ_1 @ a @ b @ c) & (cP_4 @ c @ c))),
0.39/0.61	  inference(negated_conjecture,[],[f1])).
0.39/0.61	thf(f1,conjecture,(
0.39/0.61	  ~(! [X0] : (cP_2 @ d @ X0) & ! [X0] : (cP_3 @ d @ X0) & ! [X3,X2,X1,X4,X0,X5] : (~(cP_2 @ (f @ X1) @ X4) | (cQ_3 @ X3 @ X4 @ X5) | ~(cP_2 @ (f @ X2) @ X5) | ~(cP_2 @ (f @ X0) @ X3) | ~(cQ_2 @ X0 @ X1 @ X2)) & (cP_1 @ c @ c) & ! [X1,X0] : (~(cP_2 @ X0 @ X1) | (cP_2 @ (f @ X0) @ X1)) & ! [X1,X0] : ((cP_1 @ (f @ X0) @ X1) | ~(cP_1 @ X0 @ X1)) & (cP_2 @ b @ b) & (cP_4 @ a @ a) & (cP_2 @ a @ a) & ! [X1,X2,X3,X0,X4,X5] : (~(cP_4 @ (f @ X1) @ X4) | (cQ_5 @ X3 @ X4 @ X5) | ~(cQ_4 @ X0 @ X1 @ X2) | ~(cP_4 @ (f @ X2) @ X5) | ~(cP_4 @ (f @ X0) @ X3)) & ! [X0] : (cP_1 @ d @ X0) & (cP_3 @ a @ a) & (cP_3 @ c @ c) & ! [X0,X1] : (~(cP_4 @ X0 @ X1) | (cP_4 @ (f @ X0) @ X1)) & (cP_3 @ b @ b) & (cP_1 @ b @ b) & ! [X0] : (cP_4 @ d @ X0) & ! [X2,X0,X1] : ~(cQ_5 @ X0 @ X1 @ X2) & (cP_1 @ a @ a) & ! [X0,X1] : (~(cP_3 @ X0 @ X1) | (cP_3 @ (f @ X0) @ X1)) & (cP_2 @ c @ c) & ! [X1,X2,X0,X5,X3,X4] : ((cQ_2 @ X3 @ X4 @ X5) | ~(cQ_1 @ X0 @ X1 @ X2) | ~(cP_1 @ (f @ X0) @ X3) | ~(cP_1 @ (f @ X2) @ X5) | ~(cP_1 @ (f @ X1) @ X4)) & (cP_4 @ b @ b) & ! [X2,X0,X1,X5,X4,X3] : (~(cP_3 @ (f @ X0) @ X3) | ~(cQ_3 @ X0 @ X1 @ X2) | ~(cP_3 @ (f @ X2) @ X5) | (cQ_4 @ X3 @ X4 @ X5) | ~(cP_3 @ (f @ X1) @ X4)) & (cQ_1 @ a @ b @ c) & (cP_4 @ c @ c))),
0.39/0.61	  file('/export/starexec/sandbox/tmp/tmp.nrE2KSB30V/Vampire---4.8_12462',cTHM409_4)).
0.39/0.61	thf(f112,plain,(
0.39/0.61	  ((cP_3 @ c @ c) != $true) | ~spl0_1),
0.39/0.61	  inference(trivial_inequality_removal,[],[f111])).
0.39/0.61	thf(f111,plain,(
0.39/0.61	  ((cP_3 @ c @ c) != $true) | ($true != $true) | ~spl0_1),
0.39/0.61	  inference(superposition,[],[f105,f22])).
0.39/0.61	thf(f22,plain,(
0.39/0.61	  ((cP_2 @ c @ c) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f105,plain,(
0.39/0.61	  ( ! [X0 : $i] : (((cP_2 @ c @ X0) != $true) | ((cP_3 @ X0 @ c) != $true)) ) | ~spl0_1),
0.39/0.61	  inference(trivial_inequality_removal,[],[f98])).
0.39/0.61	thf(f98,plain,(
0.39/0.61	  ( ! [X0 : $i] : (((cP_2 @ c @ X0) != $true) | ($true != $true) | ((cP_3 @ X0 @ c) != $true)) ) | ~spl0_1),
0.39/0.61	  inference(superposition,[],[f96,f27])).
0.39/0.61	thf(f27,plain,(
0.39/0.61	  ((cP_4 @ c @ c) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f96,plain,(
0.39/0.61	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_4 @ X1 @ X2)) | ((cP_2 @ c @ X0) != $true) | ((cP_3 @ X0 @ X1) != $true)) ) | ~spl0_1),
0.39/0.61	  inference(trivial_inequality_removal,[],[f95])).
0.39/0.61	thf(f95,plain,(
0.39/0.61	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (cP_4 @ X1 @ X2)) | ((cP_2 @ c @ X0) != $true) | ($true != $true) | ((cP_3 @ X0 @ X1) != $true)) ) | ~spl0_1),
0.39/0.61	  inference(superposition,[],[f94,f25])).
0.39/0.61	thf(f25,plain,(
0.39/0.61	  ((cP_1 @ c @ c) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f94,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (cP_1 @ c @ X2)) | ((cP_2 @ X2 @ X3) != $true) | ((cP_3 @ X3 @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_1),
0.39/0.61	  inference(trivial_inequality_removal,[],[f93])).
0.39/0.61	thf(f93,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((cP_2 @ X2 @ X3) != $true) | ($true != (cP_1 @ c @ X2)) | ((cP_3 @ X3 @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_1),
0.39/0.61	  inference(superposition,[],[f92,f21])).
0.39/0.61	thf(f21,plain,(
0.39/0.61	  ( ! [X16 : $i,X15 : $i] : (((cP_4 @ (f @ X15) @ X16) = $true) | ((cP_4 @ X15 @ X16) != $true)) )),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f92,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ (f @ X1) @ X3) != $true) | ((cP_2 @ X2 @ X0) != $true) | ((cP_3 @ X0 @ X1) != $true) | ($true != (cP_1 @ c @ X2))) ) | ~spl0_1),
0.39/0.61	  inference(trivial_inequality_removal,[],[f91])).
0.39/0.61	thf(f91,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ (f @ X1) @ X3) != $true) | ((cP_2 @ X2 @ X0) != $true) | ((cP_3 @ X0 @ X1) != $true) | ($true != $true) | ($true != (cP_1 @ c @ X2))) ) | ~spl0_1),
0.39/0.61	  inference(superposition,[],[f90,f20])).
0.39/0.61	thf(f20,plain,(
0.39/0.61	  ( ! [X18 : $i,X17 : $i] : (((cP_3 @ (f @ X17) @ X18) = $true) | ((cP_3 @ X17 @ X18) != $true)) )),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f90,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_1 @ c @ X0) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true)) ) | ~spl0_1),
0.39/0.61	  inference(trivial_inequality_removal,[],[f89])).
0.39/0.61	thf(f89,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ (f @ X2) @ X3) != $true) | ($true != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_1 @ c @ X0) != $true)) ) | ~spl0_1),
0.39/0.61	  inference(superposition,[],[f88,f19])).
0.39/0.61	thf(f19,plain,(
0.39/0.61	  ( ! [X19 : $i,X20 : $i] : (((cP_2 @ (f @ X20) @ X19) = $true) | ((cP_2 @ X20 @ X19) != $true)) )),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f88,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_2 @ (f @ X0) @ X3) != $true) | ((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_1 @ c @ X0) != $true) | ((cP_3 @ (f @ X3) @ X1) != $true)) ) | ~spl0_1),
0.39/0.61	  inference(trivial_inequality_removal,[],[f87])).
0.39/0.61	thf(f87,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_1 @ c @ X0) != $true) | ((cP_3 @ (f @ X3) @ X1) != $true) | ((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_2 @ (f @ X0) @ X3) != $true) | ($true != $true)) ) | ~spl0_1),
0.39/0.61	  inference(superposition,[],[f45,f18])).
0.39/0.61	thf(f18,plain,(
0.39/0.61	  ( ! [X21 : $i,X22 : $i] : (((cP_1 @ (f @ X21) @ X22) = $true) | ((cP_1 @ X21 @ X22) != $true)) )),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f45,plain,(
0.39/0.61	  ( ! [X10 : $i,X11 : $i,X8 : $i,X9 : $i] : (((cP_1 @ (f @ c) @ X8) != $true) | ((cP_4 @ (f @ X10) @ X11) != $true) | ((cP_2 @ (f @ X8) @ X9) != $true) | ((cP_3 @ (f @ X9) @ X10) != $true)) ) | ~spl0_1),
0.39/0.61	  inference(avatar_component_clause,[],[f44])).
0.39/0.61	thf(f44,plain,(
0.39/0.61	  spl0_1 <=> ! [X10,X11,X9,X8] : (((cP_2 @ (f @ X8) @ X9) != $true) | ((cP_1 @ (f @ c) @ X8) != $true) | ((cP_3 @ (f @ X9) @ X10) != $true) | ((cP_4 @ (f @ X10) @ X11) != $true))),
0.39/0.61	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.39/0.61	thf(f86,plain,(
0.39/0.61	  ~spl0_3),
0.39/0.61	  inference(avatar_contradiction_clause,[],[f85])).
0.39/0.61	thf(f85,plain,(
0.39/0.61	  $false | ~spl0_3),
0.39/0.61	  inference(trivial_inequality_removal,[],[f84])).
0.39/0.61	thf(f84,plain,(
0.39/0.61	  ($true != $true) | ~spl0_3),
0.39/0.61	  inference(superposition,[],[f83,f15])).
0.39/0.61	thf(f15,plain,(
0.39/0.61	  ((cP_4 @ b @ b) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f83,plain,(
0.39/0.61	  ( ! [X0 : $i] : (((cP_4 @ b @ X0) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(trivial_inequality_removal,[],[f82])).
0.39/0.61	thf(f82,plain,(
0.39/0.61	  ( ! [X0 : $i] : (((cP_4 @ b @ X0) != $true) | ($true != $true)) ) | ~spl0_3),
0.39/0.61	  inference(superposition,[],[f81,f32])).
0.39/0.61	thf(f32,plain,(
0.39/0.61	  ((cP_3 @ b @ b) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f81,plain,(
0.39/0.61	  ( ! [X0 : $i,X1 : $i] : (((cP_3 @ b @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(trivial_inequality_removal,[],[f80])).
0.39/0.61	thf(f80,plain,(
0.39/0.61	  ( ! [X0 : $i,X1 : $i] : (((cP_4 @ X0 @ X1) != $true) | ($true != $true) | ((cP_3 @ b @ X0) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(superposition,[],[f79,f28])).
0.39/0.61	thf(f28,plain,(
0.39/0.61	  ((cP_2 @ b @ b) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f79,plain,(
0.39/0.61	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cP_2 @ b @ X2) != $true) | ((cP_3 @ X2 @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(trivial_inequality_removal,[],[f78])).
0.39/0.61	thf(f78,plain,(
0.39/0.61	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cP_2 @ b @ X2) != $true) | ((cP_3 @ X2 @ X0) != $true) | ($true != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(superposition,[],[f77,f23])).
0.39/0.61	thf(f23,plain,(
0.39/0.61	  ((cP_1 @ b @ b) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f77,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_1 @ b @ X2) != $true) | ((cP_4 @ X0 @ X1) != $true) | ((cP_2 @ X2 @ X3) != $true) | ((cP_3 @ X3 @ X0) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(trivial_inequality_removal,[],[f76])).
0.39/0.61	thf(f76,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ X0 @ X1) != $true) | ((cP_2 @ X2 @ X3) != $true) | ($true != $true) | ((cP_1 @ b @ X2) != $true) | ((cP_3 @ X3 @ X0) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(superposition,[],[f75,f21])).
0.39/0.61	thf(f75,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ (f @ X1) @ X2) != $true) | ((cP_1 @ b @ X3) != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_2 @ X3 @ X0) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(trivial_inequality_removal,[],[f74])).
0.39/0.61	thf(f74,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ (f @ X1) @ X2) != $true) | ($true != $true) | ((cP_3 @ X0 @ X1) != $true) | ((cP_2 @ X3 @ X0) != $true) | ((cP_1 @ b @ X3) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(superposition,[],[f73,f20])).
0.39/0.61	thf(f73,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_1 @ b @ X0) != $true) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(trivial_inequality_removal,[],[f72])).
0.39/0.61	thf(f72,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ (f @ X2) @ X3) != $true) | ($true != $true) | ((cP_2 @ X0 @ X1) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_1 @ b @ X0) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(superposition,[],[f71,f19])).
0.39/0.61	thf(f71,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_2 @ (f @ X0) @ X1) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_1 @ b @ X0) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(trivial_inequality_removal,[],[f70])).
0.39/0.61	thf(f70,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_1 @ b @ X0) != $true) | ((cP_2 @ (f @ X0) @ X1) != $true) | ($true != $true) | ((cP_3 @ (f @ X1) @ X2) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(superposition,[],[f51,f18])).
0.39/0.61	thf(f51,plain,(
0.39/0.61	  ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cP_1 @ (f @ b) @ X4) != $true) | ((cP_3 @ (f @ X5) @ X6) != $true) | ((cP_4 @ (f @ X6) @ X7) != $true) | ((cP_2 @ (f @ X4) @ X5) != $true)) ) | ~spl0_3),
0.39/0.61	  inference(avatar_component_clause,[],[f50])).
0.39/0.61	thf(f50,plain,(
0.39/0.61	  spl0_3 <=> ! [X5,X4,X7,X6] : (((cP_4 @ (f @ X6) @ X7) != $true) | ((cP_1 @ (f @ b) @ X4) != $true) | ((cP_2 @ (f @ X4) @ X5) != $true) | ((cP_3 @ (f @ X5) @ X6) != $true))),
0.39/0.61	  introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
0.39/0.61	thf(f69,plain,(
0.39/0.61	  ~spl0_2),
0.39/0.61	  inference(avatar_contradiction_clause,[],[f68])).
0.39/0.61	thf(f68,plain,(
0.39/0.61	  $false | ~spl0_2),
0.39/0.61	  inference(trivial_inequality_removal,[],[f67])).
0.39/0.61	thf(f67,plain,(
0.39/0.61	  ($true != $true) | ~spl0_2),
0.39/0.61	  inference(superposition,[],[f66,f11])).
0.39/0.61	thf(f11,plain,(
0.39/0.61	  ((cP_4 @ a @ a) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f66,plain,(
0.39/0.61	  ( ! [X0 : $i] : (((cP_4 @ a @ X0) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(trivial_inequality_removal,[],[f65])).
0.39/0.61	thf(f65,plain,(
0.39/0.61	  ( ! [X0 : $i] : (($true != $true) | ((cP_4 @ a @ X0) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(superposition,[],[f64,f10])).
0.39/0.61	thf(f10,plain,(
0.39/0.61	  ((cP_3 @ a @ a) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f64,plain,(
0.39/0.61	  ( ! [X0 : $i,X1 : $i] : (((cP_3 @ a @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(trivial_inequality_removal,[],[f63])).
0.39/0.61	thf(f63,plain,(
0.39/0.61	  ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((cP_3 @ a @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(superposition,[],[f62,f16])).
0.39/0.61	thf(f16,plain,(
0.39/0.61	  ((cP_2 @ a @ a) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f62,plain,(
0.39/0.61	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((cP_2 @ a @ X2) != $true) | ((cP_3 @ X2 @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(trivial_inequality_removal,[],[f61])).
0.39/0.61	thf(f61,plain,(
0.39/0.61	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((cP_3 @ X2 @ X0) != $true) | ((cP_2 @ a @ X2) != $true) | ((cP_4 @ X0 @ X1) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(superposition,[],[f60,f17])).
0.39/0.61	thf(f17,plain,(
0.39/0.61	  ((cP_1 @ a @ a) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f60,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_1 @ a @ X2) != $true) | ((cP_4 @ X0 @ X1) != $true) | ((cP_3 @ X3 @ X0) != $true) | ((cP_2 @ X2 @ X3) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(trivial_inequality_removal,[],[f59])).
0.39/0.61	thf(f59,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_3 @ X3 @ X0) != $true) | ((cP_4 @ X0 @ X1) != $true) | ((cP_2 @ X2 @ X3) != $true) | ((cP_1 @ a @ X2) != $true) | ($true != $true)) ) | ~spl0_2),
0.39/0.61	  inference(superposition,[],[f58,f21])).
0.39/0.61	thf(f58,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ (f @ X1) @ X3) != $true) | ((cP_1 @ a @ X2) != $true) | ((cP_2 @ X2 @ X0) != $true) | ((cP_3 @ X0 @ X1) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(trivial_inequality_removal,[],[f57])).
0.39/0.61	thf(f57,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_2 @ X2 @ X0) != $true) | ((cP_4 @ (f @ X1) @ X3) != $true) | ((cP_3 @ X0 @ X1) != $true) | ($true != $true) | ((cP_1 @ a @ X2) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(superposition,[],[f56,f20])).
0.39/0.61	thf(f56,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_1 @ a @ X0) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(trivial_inequality_removal,[],[f55])).
0.39/0.61	thf(f55,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_1 @ a @ X0) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ($true != $true) | ((cP_2 @ X0 @ X1) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(superposition,[],[f54,f19])).
0.39/0.61	thf(f54,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_2 @ (f @ X0) @ X1) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_1 @ a @ X0) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(trivial_inequality_removal,[],[f53])).
0.39/0.61	thf(f53,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_4 @ (f @ X2) @ X3) != $true) | ($true != $true) | ((cP_2 @ (f @ X0) @ X1) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_1 @ a @ X0) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(superposition,[],[f48,f18])).
0.39/0.61	thf(f48,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((cP_1 @ (f @ a) @ X0) != $true) | ((cP_2 @ (f @ X0) @ X1) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true)) ) | ~spl0_2),
0.39/0.61	  inference(avatar_component_clause,[],[f47])).
0.39/0.61	thf(f47,plain,(
0.39/0.61	  spl0_2 <=> ! [X0,X3,X2,X1] : (((cP_2 @ (f @ X0) @ X1) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_1 @ (f @ a) @ X0) != $true))),
0.39/0.61	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.39/0.61	thf(f52,plain,(
0.39/0.61	  spl0_1 | spl0_2 | spl0_3),
0.39/0.61	  inference(avatar_split_clause,[],[f42,f50,f47,f44])).
0.39/0.61	thf(f42,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cP_2 @ (f @ X0) @ X1) != $true) | ((cP_2 @ (f @ X8) @ X9) != $true) | ((cP_1 @ (f @ a) @ X0) != $true) | ((cP_4 @ (f @ X10) @ X11) != $true) | ((cP_4 @ (f @ X6) @ X7) != $true) | ((cP_3 @ (f @ X5) @ X6) != $true) | ((cP_2 @ (f @ X4) @ X5) != $true) | ((cP_3 @ (f @ X9) @ X10) != $true) | ((cP_1 @ (f @ c) @ X8) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_1 @ (f @ b) @ X4) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true)) )),
0.39/0.61	  inference(trivial_inequality_removal,[],[f41])).
0.39/0.61	thf(f41,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cP_4 @ (f @ X6) @ X7) != $true) | ((cP_2 @ (f @ X8) @ X9) != $true) | ((cP_3 @ (f @ X5) @ X6) != $true) | ((cP_1 @ (f @ b) @ X4) != $true) | ((cP_1 @ (f @ a) @ X0) != $true) | ((cP_4 @ (f @ X10) @ X11) != $true) | ((cP_2 @ (f @ X4) @ X5) != $true) | ((cP_3 @ (f @ X1) @ X2) != $true) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_3 @ (f @ X9) @ X10) != $true) | ((cP_2 @ (f @ X0) @ X1) != $true) | ($true != $true) | ((cP_1 @ (f @ c) @ X8) != $true)) )),
0.39/0.61	  inference(superposition,[],[f40,f13])).
0.39/0.61	thf(f13,plain,(
0.39/0.61	  ((cQ_1 @ a @ b @ c) = $true)),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f40,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X14 : $i,X4 : $i,X5 : $i,X12 : $i,X13 : $i] : (((cQ_1 @ X12 @ X13 @ X14) != $true) | ((cP_2 @ (f @ X0) @ X7) != $true) | ((cP_4 @ (f @ X8) @ X10) != $true) | ((cP_1 @ (f @ X13) @ X1) != $true) | ((cP_3 @ (f @ X5) @ X6) != $true) | ((cP_3 @ (f @ X7) @ X8) != $true) | ((cP_4 @ (f @ X6) @ X11) != $true) | ((cP_2 @ (f @ X1) @ X5) != $true) | ((cP_1 @ (f @ X14) @ X2) != $true) | ((cP_3 @ (f @ X3) @ X4) != $true) | ((cP_4 @ (f @ X4) @ X9) != $true) | ((cP_1 @ (f @ X12) @ X0) != $true) | ((cP_2 @ (f @ X2) @ X3) != $true)) )),
0.39/0.61	  inference(trivial_inequality_removal,[],[f39])).
0.39/0.61	thf(f39,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X14 : $i,X4 : $i,X5 : $i,X12 : $i,X13 : $i] : (((cP_2 @ (f @ X0) @ X7) != $true) | ((cP_4 @ (f @ X8) @ X10) != $true) | ((cP_3 @ (f @ X3) @ X4) != $true) | ((cQ_1 @ X12 @ X13 @ X14) != $true) | ((cP_4 @ (f @ X4) @ X9) != $true) | ((cP_1 @ (f @ X14) @ X2) != $true) | ((cP_1 @ (f @ X13) @ X1) != $true) | ((cP_4 @ (f @ X6) @ X11) != $true) | ((cP_2 @ (f @ X1) @ X5) != $true) | ($true != $true) | ((cP_2 @ (f @ X2) @ X3) != $true) | ((cP_1 @ (f @ X12) @ X0) != $true) | ((cP_3 @ (f @ X7) @ X8) != $true) | ((cP_3 @ (f @ X5) @ X6) != $true)) )),
0.39/0.61	  inference(superposition,[],[f38,f31])).
0.39/0.61	thf(f31,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((cQ_2 @ X5 @ X4 @ X6) = $true) | ((cP_1 @ (f @ X1) @ X5) != $true) | ((cQ_1 @ X1 @ X3 @ X2) != $true) | ((cP_1 @ (f @ X3) @ X4) != $true) | ((cP_1 @ (f @ X2) @ X6) != $true)) )),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f38,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cQ_2 @ X9 @ X10 @ X11) != $true) | ((cP_2 @ (f @ X11) @ X2) != $true) | ((cP_3 @ (f @ X2) @ X5) != $true) | ((cP_3 @ (f @ X1) @ X3) != $true) | ($true != (cP_3 @ (f @ X0) @ X7)) | ((cP_2 @ (f @ X10) @ X1) != $true) | ((cP_4 @ (f @ X5) @ X6) != $true) | ((cP_4 @ (f @ X7) @ X8) != $true) | ((cP_4 @ (f @ X3) @ X4) != $true) | ((cP_2 @ (f @ X9) @ X0) != $true)) )),
0.39/0.61	  inference(trivial_inequality_removal,[],[f37])).
0.39/0.61	thf(f37,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X10 : $i,X0 : $i,X11 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cP_4 @ (f @ X3) @ X4) != $true) | ((cP_4 @ (f @ X5) @ X6) != $true) | ((cP_4 @ (f @ X7) @ X8) != $true) | ((cQ_2 @ X9 @ X10 @ X11) != $true) | ((cP_3 @ (f @ X1) @ X3) != $true) | ($true != $true) | ((cP_3 @ (f @ X2) @ X5) != $true) | ((cP_2 @ (f @ X11) @ X2) != $true) | ((cP_2 @ (f @ X10) @ X1) != $true) | ((cP_2 @ (f @ X9) @ X0) != $true) | ($true != (cP_3 @ (f @ X0) @ X7))) )),
0.39/0.61	  inference(superposition,[],[f36,f24])).
0.39/0.61	thf(f24,plain,(
0.39/0.61	  ( ! [X10 : $i,X11 : $i,X9 : $i,X14 : $i,X12 : $i,X13 : $i] : (((cQ_3 @ X14 @ X13 @ X10) = $true) | ((cP_2 @ (f @ X9) @ X14) != $true) | ((cP_2 @ (f @ X12) @ X13) != $true) | ((cP_2 @ (f @ X11) @ X10) != $true) | ((cQ_2 @ X9 @ X12 @ X11) != $true)) )),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f36,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cQ_3 @ X6 @ X7 @ X8) != $true) | ((cP_4 @ (f @ X1) @ X4) != $true) | ($true != (cP_3 @ (f @ X7) @ X1)) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_3 @ (f @ X8) @ X2) != $true) | ((cP_4 @ (f @ X0) @ X5) != $true) | ((cP_3 @ (f @ X6) @ X0) != $true)) )),
0.39/0.61	  inference(trivial_inequality_removal,[],[f35])).
0.39/0.61	thf(f35,plain,(
0.39/0.61	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((cP_3 @ (f @ X6) @ X0) != $true) | ((cQ_3 @ X6 @ X7 @ X8) != $true) | ($true != $true) | ((cP_3 @ (f @ X8) @ X2) != $true) | ($true != (cP_3 @ (f @ X7) @ X1)) | ((cP_4 @ (f @ X2) @ X3) != $true) | ((cP_4 @ (f @ X0) @ X5) != $true) | ((cP_4 @ (f @ X1) @ X4) != $true)) )),
0.39/0.61	  inference(superposition,[],[f34,f9])).
0.39/0.61	thf(f9,plain,(
0.39/0.61	  ( ! [X36 : $i,X37 : $i,X34 : $i,X35 : $i,X32 : $i,X33 : $i] : (((cQ_4 @ X35 @ X36 @ X37) = $true) | ((cP_3 @ (f @ X33) @ X35) != $true) | ((cP_3 @ (f @ X32) @ X36) != $true) | ((cQ_3 @ X33 @ X32 @ X34) != $true) | ((cP_3 @ (f @ X34) @ X37) != $true)) )),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f34,plain,(
0.39/0.61	  ( ! [X28 : $i,X26 : $i,X27 : $i,X24 : $i,X25 : $i,X23 : $i] : (((cQ_4 @ X24 @ X26 @ X28) != $true) | ((cP_4 @ (f @ X28) @ X25) != $true) | ((cP_4 @ (f @ X26) @ X27) != $true) | ((cP_4 @ (f @ X24) @ X23) != $true)) )),
0.39/0.61	  inference(subsumption_resolution,[],[f14,f12])).
0.39/0.61	thf(f12,plain,(
0.39/0.61	  ( ! [X31 : $i,X29 : $i,X30 : $i] : (($true != (cQ_5 @ X30 @ X31 @ X29))) )),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	thf(f14,plain,(
0.39/0.61	  ( ! [X28 : $i,X26 : $i,X27 : $i,X24 : $i,X25 : $i,X23 : $i] : (((cQ_4 @ X24 @ X26 @ X28) != $true) | ((cQ_5 @ X23 @ X27 @ X25) = $true) | ((cP_4 @ (f @ X24) @ X23) != $true) | ((cP_4 @ (f @ X26) @ X27) != $true) | ((cP_4 @ (f @ X28) @ X25) != $true)) )),
0.39/0.61	  inference(cnf_transformation,[],[f7])).
0.39/0.61	% SZS output end Proof for Vampire---4
0.39/0.61	% (12711)------------------------------
0.39/0.61	% (12711)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.39/0.61	% (12711)Termination reason: Refutation
0.39/0.61	
0.39/0.61	% (12711)Memory used [KB]: 5756
0.39/0.61	% (12711)Time elapsed: 0.025 s
0.39/0.61	% (12711)Instructions burned: 29 (million)
0.39/0.61	% (12711)------------------------------
0.39/0.61	% (12711)------------------------------
0.39/0.61	% (12569)Success in time 0.204 s
0.39/0.61	% Vampire---4.8 exiting
0.39/0.61	EOF