TSTP Solution File: SEV064^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV064^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:41:14 EDT 2024
% Result : Theorem 0.18s 0.38s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV064^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 11:57:40 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TH0_THM_NEQ_NAR problem
% 0.12/0.33 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.IbglI8CwXV/Vampire---4.8_15661
% 0.18/0.35 % (15776)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.18/0.35 % (15770)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (3000ds/4Mi)
% 0.18/0.35 % (15772)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (3000ds/27Mi)
% 0.18/0.35 % (15773)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.18/0.35 % (15769)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.18/0.35 % (15774)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.18/0.35 % (15773)Instruction limit reached!
% 0.18/0.35 % (15773)------------------------------
% 0.18/0.35 % (15773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (15773)Termination reason: Unknown
% 0.18/0.35 % (15773)Termination phase: Preprocessing 3
% 0.18/0.35 % (15774)Instruction limit reached!
% 0.18/0.35 % (15774)------------------------------
% 0.18/0.35 % (15774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35
% 0.18/0.35 % (15773)Memory used [KB]: 895
% 0.18/0.35 % (15773)Time elapsed: 0.003 s
% 0.18/0.35 % (15773)Instructions burned: 2 (million)
% 0.18/0.35 % (15773)------------------------------
% 0.18/0.35 % (15773)------------------------------
% 0.18/0.35 % (15774)Termination reason: Unknown
% 0.18/0.35 % (15774)Termination phase: Property scanning
% 0.18/0.35
% 0.18/0.35 % (15774)Memory used [KB]: 895
% 0.18/0.35 % (15774)Time elapsed: 0.002 s
% 0.18/0.35 % (15774)Instructions burned: 2 (million)
% 0.18/0.35 % (15774)------------------------------
% 0.18/0.35 % (15774)------------------------------
% 0.18/0.35 % (15775)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.18/0.35 % (15777)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.18/0.35 % (15770)Instruction limit reached!
% 0.18/0.35 % (15770)------------------------------
% 0.18/0.35 % (15770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (15770)Termination reason: Unknown
% 0.18/0.35 % (15770)Termination phase: Saturation
% 0.18/0.35
% 0.18/0.35 % (15770)Memory used [KB]: 1023
% 0.18/0.35 % (15770)Time elapsed: 0.003 s
% 0.18/0.35 % (15770)Instructions burned: 4 (million)
% 0.18/0.35 % (15770)------------------------------
% 0.18/0.35 % (15770)------------------------------
% 0.18/0.35 % (15777)Instruction limit reached!
% 0.18/0.35 % (15777)------------------------------
% 0.18/0.35 % (15777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (15777)Termination reason: Unknown
% 0.18/0.35 % (15777)Termination phase: Property scanning
% 0.18/0.35
% 0.18/0.35 % (15777)Memory used [KB]: 1023
% 0.18/0.35 % (15777)Time elapsed: 0.003 s
% 0.18/0.35 % (15777)Instructions burned: 3 (million)
% 0.18/0.35 % (15777)------------------------------
% 0.18/0.35 % (15777)------------------------------
% 0.18/0.35 % (15772)Refutation not found, incomplete strategy
% 0.18/0.35 % (15772)------------------------------
% 0.18/0.35 % (15772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (15772)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.35
% 0.18/0.35
% 0.18/0.35 % (15772)Memory used [KB]: 5500
% 0.18/0.35 % (15772)Time elapsed: 0.005 s
% 0.18/0.35 % (15772)Instructions burned: 7 (million)
% 0.18/0.35 % (15772)------------------------------
% 0.18/0.35 % (15772)------------------------------
% 0.18/0.36 % (15776)Instruction limit reached!
% 0.18/0.36 % (15776)------------------------------
% 0.18/0.36 % (15776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36 % (15776)Termination reason: Unknown
% 0.18/0.36 % (15776)Termination phase: Saturation
% 0.18/0.36
% 0.18/0.36 % (15776)Memory used [KB]: 5628
% 0.18/0.36 % (15776)Time elapsed: 0.011 s
% 0.18/0.36 % (15776)Instructions burned: 19 (million)
% 0.18/0.36 % (15776)------------------------------
% 0.18/0.36 % (15776)------------------------------
% 0.18/0.36 % (15778)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.18/0.36 % (15779)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.18/0.36 % (15780)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.18/0.36 % (15781)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.18/0.36 % (15780)Instruction limit reached!
% 0.18/0.36 % (15780)------------------------------
% 0.18/0.36 % (15780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36 % (15780)Termination reason: Unknown
% 0.18/0.36 % (15780)Termination phase: Saturation
% 0.18/0.36
% 0.18/0.36 % (15780)Memory used [KB]: 5500
% 0.18/0.36 % (15780)Time elapsed: 0.004 s
% 0.18/0.36 % (15780)Instructions burned: 4 (million)
% 0.18/0.36 % (15780)------------------------------
% 0.18/0.36 % (15780)------------------------------
% 0.18/0.37 % (15782)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.18/0.37 % (15782)Instruction limit reached!
% 0.18/0.37 % (15782)------------------------------
% 0.18/0.37 % (15782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (15782)Termination reason: Unknown
% 0.18/0.37 % (15782)Termination phase: Saturation
% 0.18/0.37
% 0.18/0.37 % (15782)Memory used [KB]: 1023
% 0.18/0.37 % (15782)Time elapsed: 0.005 s
% 0.18/0.37 % (15782)Instructions burned: 7 (million)
% 0.18/0.37 % (15782)------------------------------
% 0.18/0.37 % (15782)------------------------------
% 0.18/0.37 % (15783)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.18/0.37 % (15779)Instruction limit reached!
% 0.18/0.37 % (15779)------------------------------
% 0.18/0.37 % (15779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37 % (15779)Termination reason: Unknown
% 0.18/0.37 % (15779)Termination phase: Saturation
% 0.18/0.37
% 0.18/0.37 % (15779)Memory used [KB]: 5628
% 0.18/0.37 % (15779)Time elapsed: 0.010 s
% 0.18/0.37 % (15779)Instructions burned: 15 (million)
% 0.18/0.37 % (15779)------------------------------
% 0.18/0.37 % (15779)------------------------------
% 0.18/0.38 % (15783)Instruction limit reached!
% 0.18/0.38 % (15783)------------------------------
% 0.18/0.38 % (15783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (15783)Termination reason: Unknown
% 0.18/0.38 % (15783)Termination phase: Saturation
% 0.18/0.38
% 0.18/0.38 % (15783)Memory used [KB]: 5628
% 0.18/0.38 % (15783)Time elapsed: 0.009 s
% 0.18/0.38 % (15783)Instructions burned: 16 (million)
% 0.18/0.38 % (15783)------------------------------
% 0.18/0.38 % (15783)------------------------------
% 0.18/0.38 % (15775)First to succeed.
% 0.18/0.38 % (15784)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.18/0.38 % (15778)Instruction limit reached!
% 0.18/0.38 % (15778)------------------------------
% 0.18/0.38 % (15778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (15778)Termination reason: Unknown
% 0.18/0.38 % (15778)Termination phase: Saturation
% 0.18/0.38
% 0.18/0.38 % (15778)Memory used [KB]: 5884
% 0.18/0.38 % (15778)Time elapsed: 0.018 s
% 0.18/0.38 % (15778)Instructions burned: 39 (million)
% 0.18/0.38 % (15778)------------------------------
% 0.18/0.38 % (15778)------------------------------
% 0.18/0.38 % (15784)Instruction limit reached!
% 0.18/0.38 % (15784)------------------------------
% 0.18/0.38 % (15784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (15784)Termination reason: Unknown
% 0.18/0.38 % (15784)Termination phase: Twee Goal Transformation
% 0.18/0.38
% 0.18/0.38 % (15784)Memory used [KB]: 1023
% 0.18/0.38 % (15784)Time elapsed: 0.003 s
% 0.18/0.38 % (15784)Instructions burned: 4 (million)
% 0.18/0.38 % (15784)------------------------------
% 0.18/0.38 % (15784)------------------------------
% 0.18/0.38 % (15785)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.18/0.38 % (15786)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.18/0.38 % (15785)Instruction limit reached!
% 0.18/0.38 % (15785)------------------------------
% 0.18/0.38 % (15785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (15785)Termination reason: Unknown
% 0.18/0.38 % (15785)Termination phase: Property scanning
% 0.18/0.38
% 0.18/0.38 % (15785)Memory used [KB]: 1023
% 0.18/0.38 % (15785)Time elapsed: 0.004 s
% 0.18/0.38 % (15785)Instructions burned: 5 (million)
% 0.18/0.38 % (15785)------------------------------
% 0.18/0.38 % (15785)------------------------------
% 0.18/0.38 % (15775)Refutation found. Thanks to Tanya!
% 0.18/0.38 % SZS status Theorem for Vampire---4
% 0.18/0.38 % SZS output start Proof for Vampire---4
% 0.18/0.38 thf(func_def_4, type, sK0: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 0.18/0.38 thf(func_def_5, type, sK1: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 0.18/0.38 thf(func_def_6, type, sK2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 0.18/0.38 thf(func_def_7, type, sK3: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 0.18/0.38 thf(func_def_8, type, sK4: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 0.18/0.38 thf(func_def_9, type, sK5: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 0.18/0.38 thf(func_def_11, type, ph7: !>[X0: $tType]:(X0)).
% 0.18/0.38 thf(func_def_18, type, sK9: (($i > $o) > ($i > $o) > $i > $o) > $i).
% 0.18/0.38 thf(func_def_19, type, sK10: (($i > $o) > ($i > $o) > $i > $o) > $i).
% 0.18/0.38 thf(f353,plain,(
% 0.18/0.38 $false),
% 0.18/0.38 inference(avatar_sat_refutation,[],[f81,f352])).
% 0.18/0.38 thf(f352,plain,(
% 0.18/0.38 spl6_1),
% 0.18/0.38 inference(avatar_contradiction_clause,[],[f351])).
% 0.18/0.38 thf(f351,plain,(
% 0.18/0.38 $false | spl6_1),
% 0.18/0.38 inference(subsumption_resolution,[],[f338,f296])).
% 0.18/0.38 thf(f296,plain,(
% 0.18/0.38 ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) != (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | spl6_1),
% 0.18/0.38 inference(trivial_inequality_removal,[],[f295])).
% 0.18/0.38 thf(f295,plain,(
% 0.18/0.38 ($false = $true) | ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) != (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | spl6_1),
% 0.18/0.38 inference(beta_eta_normalization,[],[f291])).
% 0.18/0.38 thf(f291,plain,(
% 0.18/0.38 ( ! [X0 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X0) = $true) | ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) != (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))))) ) | spl6_1),
% 0.18/0.38 inference(superposition,[],[f107,f272])).
% 0.18/0.38 thf(f272,plain,(
% 0.18/0.38 ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | spl6_1),
% 0.18/0.38 inference(trivial_inequality_removal,[],[f271])).
% 0.18/0.38 thf(f271,plain,(
% 0.18/0.38 ($false = $true) | ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | spl6_1),
% 0.18/0.38 inference(duplicate_literal_removal,[],[f270])).
% 0.18/0.38 thf(f270,plain,(
% 0.18/0.38 ($false = $true) | ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ($false = $true) | spl6_1),
% 0.18/0.38 inference(beta_eta_normalization,[],[f268])).
% 0.18/0.38 thf(f268,plain,(
% 0.18/0.38 ( ! [X8 : $i,X6 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X6) = $true)) ) | spl6_1),
% 0.18/0.38 inference(primitive_instantiation,[],[f156])).
% 0.18/0.38 thf(f156,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (((X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6) = $true) | ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) ) | spl6_1),
% 0.18/0.38 inference(subsumption_resolution,[],[f140,f43])).
% 0.18/0.38 thf(f43,plain,(
% 0.18/0.38 ((^[Y0 : $i]: ($true)) != (^[Y0 : $i]: ($false))) | spl6_1),
% 0.18/0.38 inference(avatar_component_clause,[],[f42])).
% 0.18/0.38 thf(f42,plain,(
% 0.18/0.38 spl6_1 <=> ((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false)))),
% 0.18/0.38 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])).
% 0.18/0.38 thf(f140,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6) = $true) | ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) | ((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false)))) )),
% 0.18/0.38 inference(equality_proxy_clausification,[],[f139])).
% 0.18/0.38 thf(f139,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false))) | (((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6) = $true)) )),
% 0.18/0.38 inference(equality_proxy_clausification,[],[f138])).
% 0.18/0.38 thf(f138,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6) = $true) | (((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) = $true) | (((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true)) )),
% 0.18/0.38 inference(trivial_inequality_removal,[],[f137])).
% 0.18/0.38 thf(f137,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : ((((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true) | ($true != $true) | (((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) = $true) | ((X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.18/0.38 inference(boolean_simplification,[],[f136])).
% 0.18/0.38 thf(f136,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | (((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true) | (((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) = $true) | ((X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6) = $true)) )),
% 0.18/0.38 inference(beta_eta_normalization,[],[f131])).
% 0.18/0.38 thf(f131,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.18/0.38 inference(primitive_instantiation,[],[f18])).
% 0.18/0.38 thf(f18,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (((X1 @ (sK4 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0)) != $true) | ((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X6) = $true) | ((X1 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X6) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.18/0.38 inference(cnf_transformation,[],[f13])).
% 0.18/0.38 thf(f13,plain,(
% 0.18/0.38 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : ((! [X5] : (((X0 @ (sK0 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5) = $true) | ((X1 @ (sK0 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5) = $true)) & ! [X6] : (((X1 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X6) = $true) | ((X0 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X6) = $true)) & (((X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK3 @ X1 @ X0)) != $true) & ((X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK3 @ X1 @ X0)) != $true))) | ! [X8] : (((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) | (((X0 @ (sK4 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0)) != $true) & ((X1 @ (sK4 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0)) != $true)))),
% 0.18/0.38 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f9,f12,f11,f10])).
% 0.18/0.38 thf(f10,plain,(
% 0.18/0.38 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (! [X5] : (((X0 @ X2 @ X3 @ X5) = $true) | ((X1 @ X2 @ X3 @ X5) = $true)) & ! [X6] : (((X1 @ X4 @ X2 @ X6) = $true) | ((X0 @ X4 @ X2 @ X6) = $true)) & ? [X7] : (((X1 @ X4 @ X3 @ X7) != $true) & ((X0 @ X4 @ X3 @ X7) != $true))) => (! [X5] : (((X0 @ (sK0 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5) = $true) | ((X1 @ (sK0 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5) = $true)) & ! [X6] : (((X1 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X6) = $true) | ((X0 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X6) = $true)) & ? [X7] : (((X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X7) != $true) & ((X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X7) != $true))))),
% 0.18/0.38 introduced(choice_axiom,[])).
% 0.18/0.38 thf(f11,plain,(
% 0.18/0.38 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X7] : (((X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X7) != $true) & ((X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X7) != $true)) => (((X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK3 @ X1 @ X0)) != $true) & ((X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK3 @ X1 @ X0)) != $true)))),
% 0.18/0.38 introduced(choice_axiom,[])).
% 0.18/0.38 thf(f12,plain,(
% 0.18/0.38 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X9 : $i > $o,X10] : (((X0 @ X9 @ X9 @ X10) != $true) & ((X1 @ X9 @ X9 @ X10) != $true)) => (((X0 @ (sK4 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0)) != $true) & ((X1 @ (sK4 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0)) != $true)))),
% 0.18/0.38 introduced(choice_axiom,[])).
% 0.18/0.38 thf(f9,plain,(
% 0.18/0.38 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (! [X5] : (((X0 @ X2 @ X3 @ X5) = $true) | ((X1 @ X2 @ X3 @ X5) = $true)) & ! [X6] : (((X1 @ X4 @ X2 @ X6) = $true) | ((X0 @ X4 @ X2 @ X6) = $true)) & ? [X7] : (((X1 @ X4 @ X3 @ X7) != $true) & ((X0 @ X4 @ X3 @ X7) != $true))) | ! [X8] : (((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) | ? [X9 : $i > $o,X10] : (((X0 @ X9 @ X9 @ X10) != $true) & ((X1 @ X9 @ X9 @ X10) != $true)))),
% 0.18/0.38 inference(rectify,[],[f8])).
% 0.18/0.38 thf(f8,plain,(
% 0.18/0.38 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X3 : $i > $o,X5 : $i > $o,X4 : $i > $o] : (! [X6] : (((X0 @ X3 @ X5 @ X6) = $true) | ((X1 @ X3 @ X5 @ X6) = $true)) & ! [X7] : (((X1 @ X4 @ X3 @ X7) = $true) | ((X0 @ X4 @ X3 @ X7) = $true)) & ? [X8] : (((X1 @ X4 @ X5 @ X8) != $true) & ((X0 @ X4 @ X5 @ X8) != $true))) | ! [X2] : (((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2) = $true)) | ? [X9 : $i > $o,X10] : (((X0 @ X9 @ X9 @ X10) != $true) & ((X1 @ X9 @ X9 @ X10) != $true)))),
% 0.18/0.38 inference(flattening,[],[f7])).
% 0.18/0.38 thf(f7,plain,(
% 0.18/0.38 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (! [X2] : (((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2) = $true)) | ? [X9 : $i > $o,X10] : (((X0 @ X9 @ X9 @ X10) != $true) & ((X1 @ X9 @ X9 @ X10) != $true)) | ? [X5 : $i > $o,X4 : $i > $o,X3 : $i > $o] : (? [X8] : (((X1 @ X4 @ X5 @ X8) != $true) & ((X0 @ X4 @ X5 @ X8) != $true)) & (! [X7] : (((X1 @ X4 @ X3 @ X7) = $true) | ((X0 @ X4 @ X3 @ X7) = $true)) & ! [X6] : (((X0 @ X3 @ X5 @ X6) = $true) | ((X1 @ X3 @ X5 @ X6) = $true)))))),
% 0.18/0.38 inference(ennf_transformation,[],[f6])).
% 0.18/0.38 thf(f6,plain,(
% 0.18/0.38 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (~! [X2] : (((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2) = $true)) & ! [X10,X9 : $i > $o] : (((X0 @ X9 @ X9 @ X10) = $true) | ((X1 @ X9 @ X9 @ X10) = $true)) & ! [X5 : $i > $o,X4 : $i > $o,X3 : $i > $o] : ((! [X7] : (((X1 @ X4 @ X3 @ X7) = $true) | ((X0 @ X4 @ X3 @ X7) = $true)) & ! [X6] : (((X0 @ X3 @ X5 @ X6) = $true) | ((X1 @ X3 @ X5 @ X6) = $true))) => ! [X8] : (((X1 @ X4 @ X5 @ X8) = $true) | ((X0 @ X4 @ X5 @ X8) = $true))))),
% 0.18/0.38 inference(rectify,[],[f5])).
% 0.18/0.38 thf(f5,plain,(
% 0.18/0.38 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (~! [X2] : (((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2) = $true)) & ! [X7 : $i > $o,X8 : $i > $o,X9 : $i > $o] : ((! [X10] : (((X1 @ X7 @ X9 @ X10) = $true) | ((X0 @ X7 @ X9 @ X10) = $true)) & ! [X11] : (((X0 @ X8 @ X7 @ X11) = $true) | ($true = (X1 @ X8 @ X7 @ X11)))) => ! [X12] : (((X0 @ X8 @ X9 @ X12) = $true) | ((X1 @ X8 @ X9 @ X12) = $true))) & ! [X13 : $i > $o,X14] : (((X1 @ X13 @ X13 @ X14) = $true) | ((X0 @ X13 @ X13 @ X14) = $true)))),
% 0.18/0.38 inference(fool_elimination,[],[f4])).
% 0.18/0.38 thf(f4,plain,(
% 0.18/0.38 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (~! [X2] : ((X1 @ (^[X3 : $i] : ($true)) @ (^[X4 : $i] : ($false)) @ X2) | (X0 @ (^[X5 : $i] : ($true)) @ (^[X6 : $i] : ($false)) @ X2)) & ! [X7 : $i > $o,X8 : $i > $o,X9 : $i > $o] : ((! [X10] : ((X1 @ X7 @ X9 @ X10) | (X0 @ X7 @ X9 @ X10)) & ! [X11] : ((X0 @ X8 @ X7 @ X11) | (X1 @ X8 @ X7 @ X11))) => ! [X12] : ((X0 @ X8 @ X9 @ X12) | (X1 @ X8 @ X9 @ X12))) & ! [X13 : $i > $o,X14] : ((X1 @ X13 @ X13 @ X14) | (X0 @ X13 @ X13 @ X14)))),
% 0.18/0.38 inference(rectify,[],[f2])).
% 0.18/0.38 thf(f2,negated_conjecture,(
% 0.18/0.38 ~? [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (~! [X2] : ((X0 @ (^[X3 : $i] : ($true)) @ (^[X3 : $i] : ($false)) @ X2) | (X1 @ (^[X3 : $i] : ($true)) @ (^[X3 : $i] : ($false)) @ X2)) & ! [X4 : $i > $o,X3 : $i > $o,X5 : $i > $o] : ((! [X2] : ((X0 @ X4 @ X5 @ X2) | (X1 @ X4 @ X5 @ X2)) & ! [X2] : ((X1 @ X3 @ X4 @ X2) | (X0 @ X3 @ X4 @ X2))) => ! [X2] : ((X1 @ X3 @ X5 @ X2) | (X0 @ X3 @ X5 @ X2))) & ! [X3 : $i > $o,X2] : ((X0 @ X3 @ X3 @ X2) | (X1 @ X3 @ X3 @ X2)))),
% 0.18/0.38 inference(negated_conjecture,[],[f1])).
% 0.18/0.38 thf(f1,conjecture,(
% 0.18/0.38 ? [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (~! [X2] : ((X0 @ (^[X3 : $i] : ($true)) @ (^[X3 : $i] : ($false)) @ X2) | (X1 @ (^[X3 : $i] : ($true)) @ (^[X3 : $i] : ($false)) @ X2)) & ! [X4 : $i > $o,X3 : $i > $o,X5 : $i > $o] : ((! [X2] : ((X0 @ X4 @ X5 @ X2) | (X1 @ X4 @ X5 @ X2)) & ! [X2] : ((X1 @ X3 @ X4 @ X2) | (X0 @ X3 @ X4 @ X2))) => ! [X2] : ((X1 @ X3 @ X5 @ X2) | (X0 @ X3 @ X5 @ X2))) & ! [X3 : $i > $o,X2] : ((X0 @ X3 @ X3 @ X2) | (X1 @ X3 @ X3 @ X2)))),
% 0.18/0.38 file('/export/starexec/sandbox2/tmp/tmp.IbglI8CwXV/Vampire---4.8_15661',cTHM120C_pme)).
% 0.18/0.38 thf(f107,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) != (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) ) | spl6_1),
% 0.18/0.38 inference(subsumption_resolution,[],[f106,f43])).
% 0.18/0.38 thf(f106,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) != (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) | ((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false))) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.18/0.38 inference(equality_proxy_clausification,[],[f105])).
% 0.18/0.38 thf(f105,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) != (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) | (((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.18/0.38 inference(equality_proxy_clausification,[],[f104])).
% 0.18/0.38 thf(f104,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : ((((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | (((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) = $true)) )),
% 0.18/0.38 inference(trivial_inequality_removal,[],[f103])).
% 0.18/0.38 thf(f103,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ($true != $true) | (((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | (((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) = $true)) )),
% 0.18/0.38 inference(boolean_simplification,[],[f102])).
% 0.18/0.38 thf(f102,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : ((((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | (((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true)) )),
% 0.18/0.38 inference(beta_eta_normalization,[],[f82])).
% 0.18/0.38 thf(f82,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.18/0.38 inference(primitive_instantiation,[],[f16])).
% 0.18/0.38 thf(f16,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (((X1 @ (sK4 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0)) != $true) | ((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ (sK3 @ X1 @ X0)) != $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.18/0.38 inference(cnf_transformation,[],[f13])).
% 0.18/0.38 thf(f338,plain,(
% 0.18/0.38 ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | spl6_1),
% 0.18/0.38 inference(trivial_inequality_removal,[],[f337])).
% 0.18/0.38 thf(f337,plain,(
% 0.18/0.38 ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ($false = $true) | spl6_1),
% 0.18/0.38 inference(duplicate_literal_removal,[],[f336])).
% 0.18/0.38 thf(f336,plain,(
% 0.18/0.38 ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | ($false = $true) | ($false = $true) | spl6_1),
% 0.18/0.38 inference(beta_eta_normalization,[],[f331])).
% 0.18/0.38 thf(f331,plain,(
% 0.18/0.38 ( ! [X8 : $i,X5 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))))) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X5) = $true)) ) | spl6_1),
% 0.18/0.38 inference(primitive_instantiation,[],[f211])).
% 0.18/0.38 thf(f211,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (((X0 @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) ) | spl6_1),
% 0.18/0.38 inference(subsumption_resolution,[],[f206,f43])).
% 0.18/0.38 thf(f206,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false))) | ((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) | ((X0 @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.18/0.38 inference(equality_proxy_clausification,[],[f205])).
% 0.18/0.38 thf(f205,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (((X0 @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5) = $true) | ((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false))) | (((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.18/0.38 inference(equality_proxy_clausification,[],[f204])).
% 0.18/0.38 thf(f204,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : ((((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5) = $true) | (((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true)) )),
% 0.18/0.38 inference(trivial_inequality_removal,[],[f203])).
% 0.18/0.38 thf(f203,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (($true != $true) | (((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true) | ((X0 @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5) = $true) | (((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.18/0.38 inference(boolean_simplification,[],[f202])).
% 0.18/0.38 thf(f202,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : ((((sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5) = $true) | (((sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true) | (((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) = $true)) )),
% 0.18/0.38 inference(beta_eta_normalization,[],[f186])).
% 0.18/0.38 thf(f186,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)) != $true)) )),
% 0.18/0.38 inference(primitive_instantiation,[],[f20])).
% 0.18/0.38 thf(f20,plain,(
% 0.18/0.38 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (((X1 @ (sK4 @ X1 @ X0) @ (sK4 @ X1 @ X0) @ (sK5 @ X1 @ X0)) != $true) | ((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ((X0 @ (sK0 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5) = $true) | ((X1 @ (sK0 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X5) = $true)) )),
% 0.18/0.38 inference(cnf_transformation,[],[f13])).
% 0.18/0.38 thf(f81,plain,(
% 0.18/0.38 ~spl6_1),
% 0.18/0.38 inference(avatar_contradiction_clause,[],[f80])).
% 0.18/0.38 thf(f80,plain,(
% 0.18/0.38 $false | ~spl6_1),
% 0.18/0.38 inference(trivial_inequality_removal,[],[f79])).
% 0.18/0.38 thf(f79,plain,(
% 0.18/0.38 ($false = $true) | ~spl6_1),
% 0.18/0.38 inference(beta_eta_normalization,[],[f78])).
% 0.18/0.38 thf(f78,plain,(
% 0.18/0.38 ( ! [X1 : $i] : ((((^[Y0 : $i]: ($false)) @ X1) = ((^[Y0 : $i]: ($true)) @ X1))) ) | ~spl6_1),
% 0.18/0.38 inference(argument_congruence,[],[f44])).
% 0.18/0.38 thf(f44,plain,(
% 0.18/0.38 ((^[Y0 : $i]: ($true)) = (^[Y0 : $i]: ($false))) | ~spl6_1),
% 0.18/0.38 inference(avatar_component_clause,[],[f42])).
% 0.18/0.38 % SZS output end Proof for Vampire---4
% 0.18/0.38 % (15775)------------------------------
% 0.18/0.38 % (15775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38 % (15775)Termination reason: Refutation
% 0.18/0.38
% 0.18/0.38 % (15775)Memory used [KB]: 5884
% 0.18/0.38 % (15775)Time elapsed: 0.035 s
% 0.18/0.38 % (15775)Instructions burned: 58 (million)
% 0.18/0.38 % (15775)------------------------------
% 0.18/0.38 % (15775)------------------------------
% 0.18/0.38 % (15768)Success in time 0.041 s
% 0.18/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------