TSTP Solution File: SEV066^5 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV066^5 : 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 : n007.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 0.15s 0.35s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEV066^5 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % 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
% 0.10/0.28 % Computer : n007.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 11:50:50 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 This is a TH0_THM_NEQ_NAR problem
% 0.10/0.29 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.AmPwXfNTz7/Vampire---4.8_20215
% 0.10/0.30 % (20396)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)
% 0.10/0.30 % (20403)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)
% 0.10/0.30 % (20403)Instruction limit reached!
% 0.10/0.30 % (20403)------------------------------
% 0.10/0.30 % (20403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.30 % (20403)Termination reason: Unknown
% 0.10/0.30 % (20403)Termination phase: Saturation
% 0.10/0.30
% 0.10/0.30 % (20403)Memory used [KB]: 5500
% 0.10/0.30 % (20403)Time elapsed: 0.003 s
% 0.10/0.30 % (20403)Instructions burned: 4 (million)
% 0.10/0.30 % (20403)------------------------------
% 0.10/0.30 % (20403)------------------------------
% 0.10/0.30 % (20402)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.10/0.30 % (20400)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)
% 0.10/0.30 % (20400)Instruction limit reached!
% 0.10/0.30 % (20400)------------------------------
% 0.10/0.30 % (20400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.30 % (20400)Termination reason: Unknown
% 0.10/0.30 % (20400)Termination phase: Property scanning
% 0.10/0.30
% 0.10/0.30 % (20400)Memory used [KB]: 895
% 0.10/0.30 % (20400)Time elapsed: 0.002 s
% 0.10/0.30 % (20400)Instructions burned: 2 (million)
% 0.10/0.30 % (20400)------------------------------
% 0.10/0.30 % (20400)------------------------------
% 0.10/0.30 % (20401)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)
% 0.10/0.31 % (20397)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)
% 0.10/0.31 % (20399)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.10/0.31 % (20399)Instruction limit reached!
% 0.10/0.31 % (20399)------------------------------
% 0.10/0.31 % (20399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.31 % (20399)Termination reason: Unknown
% 0.10/0.31 % (20399)Termination phase: Property scanning
% 0.10/0.31
% 0.10/0.31 % (20399)Memory used [KB]: 1023
% 0.10/0.31 % (20399)Time elapsed: 0.002 s
% 0.10/0.31 % (20399)Instructions burned: 2 (million)
% 0.10/0.31 % (20399)------------------------------
% 0.10/0.31 % (20399)------------------------------
% 0.10/0.31 % (20402)Instruction limit reached!
% 0.10/0.31 % (20402)------------------------------
% 0.10/0.31 % (20402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.31 % (20402)Termination reason: Unknown
% 0.10/0.31 % (20402)Termination phase: Saturation
% 0.10/0.31
% 0.10/0.31 % (20402)Memory used [KB]: 5628
% 0.10/0.31 % (20402)Time elapsed: 0.007 s
% 0.10/0.31 % (20402)Instructions burned: 20 (million)
% 0.10/0.31 % (20402)------------------------------
% 0.10/0.31 % (20402)------------------------------
% 0.10/0.31 % (20397)Instruction limit reached!
% 0.10/0.31 % (20397)------------------------------
% 0.10/0.31 % (20397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.31 % (20397)Termination reason: Unknown
% 0.10/0.31 % (20397)Termination phase: Saturation
% 0.10/0.31
% 0.10/0.31 % (20397)Memory used [KB]: 5500
% 0.10/0.31 % (20397)Time elapsed: 0.004 s
% 0.10/0.31 % (20397)Instructions burned: 4 (million)
% 0.10/0.31 % (20397)------------------------------
% 0.10/0.31 % (20397)------------------------------
% 0.10/0.31 % (20404)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)
% 0.10/0.31 % (20398)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)
% 0.10/0.31 % (20405)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)
% 0.10/0.31 % (20398)Refutation not found, incomplete strategy
% 0.10/0.31 % (20398)------------------------------
% 0.10/0.31 % (20398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.31 % (20398)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.31
% 0.10/0.31
% 0.10/0.31 % (20398)Memory used [KB]: 5500
% 0.10/0.31 % (20398)Time elapsed: 0.007 s
% 0.10/0.31 % (20398)Instructions burned: 7 (million)
% 0.10/0.31 % (20398)------------------------------
% 0.10/0.31 % (20398)------------------------------
% 0.10/0.31 % (20406)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)
% 0.15/0.32 % (20406)Instruction limit reached!
% 0.15/0.32 % (20406)------------------------------
% 0.15/0.32 % (20406)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (20406)Termination reason: Unknown
% 0.15/0.32 % (20406)Termination phase: Property scanning
% 0.15/0.32
% 0.15/0.32 % (20406)Memory used [KB]: 1023
% 0.15/0.32 % (20406)Time elapsed: 0.002 s
% 0.15/0.32 % (20406)Instructions burned: 3 (million)
% 0.15/0.32 % (20406)------------------------------
% 0.15/0.32 % (20406)------------------------------
% 0.15/0.32 % (20408)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)
% 0.15/0.32 % (20405)Instruction limit reached!
% 0.15/0.32 % (20405)------------------------------
% 0.15/0.32 % (20405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (20405)Termination reason: Unknown
% 0.15/0.32 % (20405)Termination phase: Saturation
% 0.15/0.32
% 0.15/0.32 % (20405)Memory used [KB]: 5628
% 0.15/0.32 % (20405)Time elapsed: 0.007 s
% 0.15/0.32 % (20405)Instructions burned: 16 (million)
% 0.15/0.32 % (20405)------------------------------
% 0.15/0.32 % (20405)------------------------------
% 0.15/0.32 % (20408)Instruction limit reached!
% 0.15/0.32 % (20408)------------------------------
% 0.15/0.32 % (20408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (20408)Termination reason: Unknown
% 0.15/0.32 % (20408)Termination phase: Saturation
% 0.15/0.32
% 0.15/0.32 % (20408)Memory used [KB]: 1023
% 0.15/0.32 % (20408)Time elapsed: 0.004 s
% 0.15/0.32 % (20408)Instructions burned: 9 (million)
% 0.15/0.32 % (20408)------------------------------
% 0.15/0.32 % (20408)------------------------------
% 0.15/0.32 % (20404)Instruction limit reached!
% 0.15/0.32 % (20404)------------------------------
% 0.15/0.32 % (20404)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (20404)Termination reason: Unknown
% 0.15/0.32 % (20404)Termination phase: Saturation
% 0.15/0.32
% 0.15/0.32 % (20404)Memory used [KB]: 5756
% 0.15/0.32 % (20404)Time elapsed: 0.012 s
% 0.15/0.32 % (20404)Instructions burned: 39 (million)
% 0.15/0.32 % (20404)------------------------------
% 0.15/0.32 % (20404)------------------------------
% 0.15/0.32 % (20410)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)
% 0.15/0.32 % (20410)Instruction limit reached!
% 0.15/0.32 % (20410)------------------------------
% 0.15/0.32 % (20410)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (20410)Termination reason: Unknown
% 0.15/0.32 % (20410)Termination phase: Property scanning
% 0.15/0.32
% 0.15/0.32 % (20410)Memory used [KB]: 1023
% 0.15/0.32 % (20410)Time elapsed: 0.002 s
% 0.15/0.32 % (20411)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)
% 0.15/0.32 % (20410)Instructions burned: 3 (million)
% 0.15/0.32 % (20410)------------------------------
% 0.15/0.32 % (20410)------------------------------
% 0.15/0.33 % (20411)Instruction limit reached!
% 0.15/0.33 % (20411)------------------------------
% 0.15/0.33 % (20411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (20411)Termination reason: Unknown
% 0.15/0.33 % (20411)Termination phase: Property scanning
% 0.15/0.33
% 0.15/0.33 % (20411)Memory used [KB]: 1023
% 0.15/0.33 % (20411)Time elapsed: 0.002 s
% 0.15/0.33 % (20411)Instructions burned: 3 (million)
% 0.15/0.33 % (20411)------------------------------
% 0.15/0.33 % (20411)------------------------------
% 0.15/0.33 % (20412)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)
% 0.15/0.33 % (20413)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.33 % (20413)Instruction limit reached!
% 0.15/0.33 % (20413)------------------------------
% 0.15/0.33 % (20413)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (20413)Termination reason: Unknown
% 0.15/0.33 % (20413)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (20413)Memory used [KB]: 1023
% 0.15/0.33 % (20413)Time elapsed: 0.002 s
% 0.15/0.33 % (20413)Instructions burned: 3 (million)
% 0.15/0.33 % (20413)------------------------------
% 0.15/0.33 % (20413)------------------------------
% 0.15/0.33 % (20409)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)
% 0.15/0.33 % (20412)Instruction limit reached!
% 0.15/0.33 % (20412)------------------------------
% 0.15/0.33 % (20412)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (20412)Termination reason: Unknown
% 0.15/0.33 % (20412)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (20412)Memory used [KB]: 5500
% 0.15/0.33 % (20412)Time elapsed: 0.004 s
% 0.15/0.33 % (20412)Instructions burned: 9 (million)
% 0.15/0.33 % (20412)------------------------------
% 0.15/0.33 % (20412)------------------------------
% 0.15/0.33 % (20414)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.15/0.33 % (20414)Instruction limit reached!
% 0.15/0.33 % (20414)------------------------------
% 0.15/0.33 % (20414)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (20414)Termination reason: Unknown
% 0.15/0.33 % (20414)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (20414)Memory used [KB]: 5500
% 0.15/0.33 % (20414)Time elapsed: 0.003 s
% 0.15/0.33 % (20414)Instructions burned: 5 (million)
% 0.15/0.33 % (20414)------------------------------
% 0.15/0.33 % (20414)------------------------------
% 0.15/0.34 % (20415)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.34 % (20416)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.15/0.34 % (20401)First to succeed.
% 0.15/0.34 % (20417)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.15/0.34 % (20415)Refutation not found, incomplete strategy
% 0.15/0.34 % (20415)------------------------------
% 0.15/0.34 % (20415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (20415)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.34
% 0.15/0.34
% 0.15/0.34 % (20415)Memory used [KB]: 5500
% 0.15/0.34 % (20415)Time elapsed: 0.003 s
% 0.15/0.34 % (20415)Instructions burned: 6 (million)
% 0.15/0.34 % (20415)------------------------------
% 0.15/0.34 % (20415)------------------------------
% 0.15/0.34 % (20409)Instruction limit reached!
% 0.15/0.34 % (20409)------------------------------
% 0.15/0.34 % (20409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (20409)Termination reason: Unknown
% 0.15/0.34 % (20409)Termination phase: Saturation
% 0.15/0.34
% 0.15/0.34 % (20409)Memory used [KB]: 5628
% 0.15/0.34 % (20409)Time elapsed: 0.011 s
% 0.15/0.34 % (20409)Instructions burned: 16 (million)
% 0.15/0.34 % (20409)------------------------------
% 0.15/0.34 % (20409)------------------------------
% 0.15/0.34 % (20407)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)
% 0.15/0.34 % (20417)Instruction limit reached!
% 0.15/0.34 % (20417)------------------------------
% 0.15/0.34 % (20417)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (20417)Termination reason: Unknown
% 0.15/0.34 % (20417)Termination phase: Saturation
% 0.15/0.34
% 0.15/0.34 % (20417)Memory used [KB]: 5500
% 0.15/0.34 % (20417)Time elapsed: 0.004 s
% 0.15/0.34 % (20417)Instructions burned: 7 (million)
% 0.15/0.34 % (20417)------------------------------
% 0.15/0.34 % (20417)------------------------------
% 0.15/0.34 % (20418)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.15/0.35 % (20401)Refutation found. Thanks to Tanya!
% 0.15/0.35 % SZS status Theorem for Vampire---4
% 0.15/0.35 % SZS output start Proof for Vampire---4
% 0.15/0.35 thf(func_def_4, type, sK0: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 0.15/0.35 thf(func_def_5, type, sK1: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 0.15/0.35 thf(func_def_6, type, sK2: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 0.15/0.35 thf(func_def_7, type, sK3: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 0.15/0.35 thf(func_def_8, type, sK4: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i).
% 0.15/0.35 thf(func_def_9, type, sK5: (($i > $o) > ($i > $o) > $i > $o) > (($i > $o) > ($i > $o) > $i > $o) > $i > $o).
% 0.15/0.35 thf(func_def_11, type, ph7: !>[X0: $tType]:(X0)).
% 0.15/0.35 thf(func_def_18, type, sK9: (($i > $o) > ($i > $o) > $i > $o) > $i).
% 0.15/0.35 thf(func_def_19, type, sK10: (($i > $o) > ($i > $o) > $i > $o) > $i).
% 0.15/0.35 thf(f391,plain,(
% 0.15/0.35 $false),
% 0.15/0.35 inference(avatar_sat_refutation,[],[f54,f366,f390])).
% 0.15/0.35 thf(f390,plain,(
% 0.15/0.35 ~spl6_1),
% 0.15/0.35 inference(avatar_contradiction_clause,[],[f389])).
% 0.15/0.35 thf(f389,plain,(
% 0.15/0.35 $false | ~spl6_1),
% 0.15/0.35 inference(trivial_inequality_removal,[],[f388])).
% 0.15/0.35 thf(f388,plain,(
% 0.15/0.35 ($true = $false) | ~spl6_1),
% 0.15/0.35 inference(beta_eta_normalization,[],[f387])).
% 0.15/0.35 thf(f387,plain,(
% 0.15/0.35 ( ! [X1 : $i] : ((((^[Y0 : $i]: ($false)) @ X1) = ((^[Y0 : $i]: ($true)) @ X1))) ) | ~spl6_1),
% 0.15/0.35 inference(argument_congruence,[],[f50])).
% 0.15/0.35 thf(f50,plain,(
% 0.15/0.35 ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | ~spl6_1),
% 0.15/0.35 inference(avatar_component_clause,[],[f48])).
% 0.15/0.35 thf(f48,plain,(
% 0.15/0.35 spl6_1 <=> ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))),
% 0.15/0.35 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])).
% 0.15/0.35 thf(f366,plain,(
% 0.15/0.35 spl6_1 | ~spl6_2),
% 0.15/0.35 inference(avatar_contradiction_clause,[],[f365])).
% 0.15/0.35 thf(f365,plain,(
% 0.15/0.35 $false | (spl6_1 | ~spl6_2)),
% 0.15/0.35 inference(subsumption_resolution,[],[f363,f352])).
% 0.15/0.35 thf(f352,plain,(
% 0.15/0.35 ((sK1 @ (^[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)))))))) | spl6_1),
% 0.15/0.35 inference(trivial_inequality_removal,[],[f351])).
% 0.15/0.35 thf(f351,plain,(
% 0.15/0.35 ($true = $false) | ((sK1 @ (^[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)))))))) | spl6_1),
% 0.15/0.35 inference(duplicate_literal_removal,[],[f350])).
% 0.15/0.35 thf(f350,plain,(
% 0.15/0.35 ($true = $false) | ($true = $false) | ((sK1 @ (^[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)))))))) | spl6_1),
% 0.15/0.35 inference(beta_eta_normalization,[],[f334])).
% 0.15/0.35 thf(f334,plain,(
% 0.15/0.35 ( ! [X8 : $i,X5 : $i] : (($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ((sK1 @ (^[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)))))))) | ($true = ((^[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))))))) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X5))) ) | spl6_1),
% 0.15/0.35 inference(primitive_instantiation,[],[f212])).
% 0.15/0.35 thf(f212,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (($true = (X0 @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5)) | ((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))) ) | spl6_1),
% 0.15/0.35 inference(subsumption_resolution,[],[f209,f49])).
% 0.15/0.35 thf(f49,plain,(
% 0.15/0.35 ((^[Y0 : $i]: ($false)) != (^[Y0 : $i]: ($true))) | spl6_1),
% 0.15/0.35 inference(avatar_component_clause,[],[f48])).
% 0.15/0.35 thf(f209,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ((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 @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5)) | ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) )),
% 0.15/0.35 inference(equality_proxy_clausification,[],[f208])).
% 0.15/0.35 thf(f208,plain,(
% 0.15/0.35 ( ! [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 = ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) | ($true = (X0 @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5))) )),
% 0.15/0.35 inference(equality_proxy_clausification,[],[f207])).
% 0.15/0.35 thf(f207,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ($true = (X0 @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5)) | ($true = ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)))) )),
% 0.15/0.35 inference(trivial_inequality_removal,[],[f206])).
% 0.15/0.35 thf(f206,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ($true = ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) | ($true != $true) | ($true = (X0 @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5)) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8))) )),
% 0.15/0.35 inference(boolean_simplification,[],[f205])).
% 0.15/0.35 thf(f205,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ($true = (X0 @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5)) | ($true != ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) | ($true = ((sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true))))) )),
% 0.15/0.35 inference(beta_eta_normalization,[],[f187])).
% 0.15/0.35 thf(f187,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5)) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ($true = (X0 @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK0 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X5)) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) )),
% 0.15/0.35 inference(primitive_instantiation,[],[f20])).
% 0.15/0.35 thf(f20,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X5 : $i] : (($true != (X1 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK4 @ X1 @ X0))) | ($true = (X1 @ (sK1 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X5)) | ((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ((X0 @ (sK1 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X5) = $true)) )),
% 0.15/0.35 inference(cnf_transformation,[],[f13])).
% 0.15/0.35 thf(f13,plain,(
% 0.15/0.35 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : ((! [X5] : (($true = (X1 @ (sK1 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X5)) | ((X0 @ (sK1 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X5) = $true)) & ! [X6] : (($true = (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6)) | ($true = (X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6))) & (($true != (X0 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ (sK3 @ X1 @ X0))) & ($true != (X1 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ (sK3 @ X1 @ X0))))) | ! [X8] : (($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) | (($true != (X0 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK4 @ X1 @ X0))) & ($true != (X1 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK4 @ X1 @ X0)))))),
% 0.15/0.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f9,f12,f11,f10])).
% 0.15/0.35 thf(f10,plain,(
% 0.15/0.35 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (! [X5] : (($true = (X1 @ X3 @ X2 @ X5)) | ($true = (X0 @ X3 @ X2 @ X5))) & ! [X6] : (($true = (X1 @ X4 @ X3 @ X6)) | ($true = (X0 @ X4 @ X3 @ X6))) & ? [X7] : (($true != (X0 @ X4 @ X2 @ X7)) & ((X1 @ X4 @ X2 @ X7) != $true))) => (! [X5] : (($true = (X1 @ (sK1 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X5)) | ((X0 @ (sK1 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X5) = $true)) & ! [X6] : (($true = (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6)) | ($true = (X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6))) & ? [X7] : (($true != (X0 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X7)) & ($true != (X1 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X7)))))),
% 0.15/0.35 introduced(choice_axiom,[])).
% 0.15/0.35 thf(f11,plain,(
% 0.15/0.35 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X7] : (($true != (X0 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X7)) & ($true != (X1 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ X7))) => (($true != (X0 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ (sK3 @ X1 @ X0))) & ($true != (X1 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ (sK3 @ X1 @ X0)))))),
% 0.15/0.35 introduced(choice_axiom,[])).
% 0.15/0.35 thf(f12,plain,(
% 0.15/0.35 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X9,X10 : $i > $o] : (((X0 @ X10 @ X10 @ X9) != $true) & ((X1 @ X10 @ X10 @ X9) != $true)) => (($true != (X0 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK4 @ X1 @ X0))) & ($true != (X1 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK4 @ X1 @ X0)))))),
% 0.15/0.35 introduced(choice_axiom,[])).
% 0.15/0.35 thf(f9,plain,(
% 0.15/0.35 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (? [X2 : $i > $o,X3 : $i > $o,X4 : $i > $o] : (! [X5] : (($true = (X1 @ X3 @ X2 @ X5)) | ($true = (X0 @ X3 @ X2 @ X5))) & ! [X6] : (($true = (X1 @ X4 @ X3 @ X6)) | ($true = (X0 @ X4 @ X3 @ X6))) & ? [X7] : (($true != (X0 @ X4 @ X2 @ X7)) & ((X1 @ X4 @ X2 @ X7) != $true))) | ! [X8] : (($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true)) | ? [X9,X10 : $i > $o] : (((X0 @ X10 @ X10 @ X9) != $true) & ((X1 @ X10 @ X10 @ X9) != $true)))),
% 0.15/0.35 inference(rectify,[],[f8])).
% 0.15/0.35 thf(f8,plain,(
% 0.15/0.35 ! [X1 : ($i > $o) > ($i > $o) > $i > $o,X0 : ($i > $o) > ($i > $o) > $i > $o] : (? [X5 : $i > $o,X4 : $i > $o,X3 : $i > $o] : (! [X6] : (($true = (X0 @ X4 @ X5 @ X6)) | ($true = (X1 @ X4 @ X5 @ X6))) & ! [X7] : (($true = (X0 @ X3 @ X4 @ X7)) | ($true = (X1 @ X3 @ X4 @ X7))) & ? [X8] : (($true != (X1 @ X3 @ X5 @ X8)) & ($true != (X0 @ X3 @ X5 @ X8)))) | ! [X2] : (($true = (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2)) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2))) | ? [X10,X9 : $i > $o] : (($true != (X1 @ X9 @ X9 @ X10)) & ($true != (X0 @ X9 @ X9 @ X10))))),
% 0.15/0.35 inference(flattening,[],[f7])).
% 0.15/0.35 thf(f7,plain,(
% 0.15/0.35 ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (! [X2] : (($true = (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2)) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2))) | ? [X3 : $i > $o,X4 : $i > $o,X5 : $i > $o] : (? [X8] : (($true != (X1 @ X3 @ X5 @ X8)) & ($true != (X0 @ X3 @ X5 @ X8))) & (! [X6] : (($true = (X0 @ X4 @ X5 @ X6)) | ($true = (X1 @ X4 @ X5 @ X6))) & ! [X7] : (($true = (X0 @ X3 @ X4 @ X7)) | ($true = (X1 @ X3 @ X4 @ X7))))) | ? [X10,X9 : $i > $o] : (($true != (X1 @ X9 @ X9 @ X10)) & ($true != (X0 @ X9 @ X9 @ X10))))),
% 0.15/0.35 inference(ennf_transformation,[],[f6])).
% 0.15/0.35 thf(f6,plain,(
% 0.15/0.35 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (~! [X2] : (($true = (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2)) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2))) & ! [X3 : $i > $o,X4 : $i > $o,X5 : $i > $o] : ((! [X6] : (($true = (X0 @ X4 @ X5 @ X6)) | ($true = (X1 @ X4 @ X5 @ X6))) & ! [X7] : (($true = (X0 @ X3 @ X4 @ X7)) | ($true = (X1 @ X3 @ X4 @ X7)))) => ! [X8] : (($true = (X1 @ X3 @ X5 @ X8)) | ($true = (X0 @ X3 @ X5 @ X8)))) & ! [X9 : $i > $o,X10] : (($true = (X1 @ X9 @ X9 @ X10)) | ($true = (X0 @ X9 @ X9 @ X10))))),
% 0.15/0.35 inference(rectify,[],[f5])).
% 0.15/0.35 thf(f5,plain,(
% 0.15/0.35 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (~! [X2] : (($true = (X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2)) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X2))) & ! [X7 : $i > $o,X8 : $i > $o,X9 : $i > $o] : ((! [X10] : (((X0 @ X8 @ X9 @ X10) = $true) | ($true = (X1 @ X8 @ X9 @ X10))) & ! [X11] : (($true = (X0 @ X7 @ X8 @ X11)) | ($true = (X1 @ X7 @ X8 @ X11)))) => ! [X12] : (($true = (X0 @ X7 @ X9 @ X12)) | ($true = (X1 @ X7 @ X9 @ X12)))) & ! [X13 : $i > $o,X14] : (($true = (X1 @ X13 @ X13 @ X14)) | ((X0 @ X13 @ X13 @ X14) = $true)))),
% 0.15/0.35 inference(fool_elimination,[],[f4])).
% 0.15/0.35 thf(f4,plain,(
% 0.15/0.35 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (~! [X2] : ((X0 @ (^[X3 : $i] : ($true)) @ (^[X4 : $i] : ($false)) @ X2) | (X1 @ (^[X5 : $i] : ($true)) @ (^[X6 : $i] : ($false)) @ X2)) & ! [X7 : $i > $o,X8 : $i > $o,X9 : $i > $o] : ((! [X10] : ((X0 @ X8 @ X9 @ X10) | (X1 @ X8 @ X9 @ X10)) & ! [X11] : ((X0 @ X7 @ X8 @ X11) | (X1 @ X7 @ X8 @ X11))) => ! [X12] : ((X0 @ X7 @ X9 @ X12) | (X1 @ X7 @ X9 @ X12))) & ! [X13 : $i > $o,X14] : ((X1 @ X13 @ X13 @ X14) | (X0 @ X13 @ X13 @ X14)))),
% 0.15/0.35 inference(rectify,[],[f2])).
% 0.15/0.35 thf(f2,negated_conjecture,(
% 0.15/0.35 ~? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (~! [X3] : ((X0 @ (^[X2 : $i] : ($true)) @ (^[X2 : $i] : ($false)) @ X3) | (X1 @ (^[X2 : $i] : ($true)) @ (^[X2 : $i] : ($false)) @ X3)) & ! [X2 : $i > $o,X4 : $i > $o,X5 : $i > $o] : ((! [X3] : ((X0 @ X4 @ X5 @ X3) | (X1 @ X4 @ X5 @ X3)) & ! [X3] : ((X0 @ X2 @ X4 @ X3) | (X1 @ X2 @ X4 @ X3))) => ! [X3] : ((X0 @ X2 @ X5 @ X3) | (X1 @ X2 @ X5 @ X3))) & ! [X2 : $i > $o,X3] : ((X1 @ X2 @ X2 @ X3) | (X0 @ X2 @ X2 @ X3)))),
% 0.15/0.35 inference(negated_conjecture,[],[f1])).
% 0.15/0.35 thf(f1,conjecture,(
% 0.15/0.35 ? [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o] : (~! [X3] : ((X0 @ (^[X2 : $i] : ($true)) @ (^[X2 : $i] : ($false)) @ X3) | (X1 @ (^[X2 : $i] : ($true)) @ (^[X2 : $i] : ($false)) @ X3)) & ! [X2 : $i > $o,X4 : $i > $o,X5 : $i > $o] : ((! [X3] : ((X0 @ X4 @ X5 @ X3) | (X1 @ X4 @ X5 @ X3)) & ! [X3] : ((X0 @ X2 @ X4 @ X3) | (X1 @ X2 @ X4 @ X3))) => ! [X3] : ((X0 @ X2 @ X5 @ X3) | (X1 @ X2 @ X5 @ X3))) & ! [X2 : $i > $o,X3] : ((X1 @ X2 @ X2 @ X3) | (X0 @ X2 @ X2 @ X3)))),
% 0.15/0.35 file('/export/starexec/sandbox2/tmp/tmp.AmPwXfNTz7/Vampire---4.8_20215',cTHM120D_pme)).
% 0.15/0.35 thf(f363,plain,(
% 0.15/0.35 ((sK1 @ (^[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)))))))) | (spl6_1 | ~spl6_2)),
% 0.15/0.35 inference(trivial_inequality_removal,[],[f362])).
% 0.15/0.35 thf(f362,plain,(
% 0.15/0.35 ((sK1 @ (^[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)))))))) | ($true = $false) | (spl6_1 | ~spl6_2)),
% 0.15/0.35 inference(beta_eta_normalization,[],[f356])).
% 0.15/0.35 thf(f356,plain,(
% 0.15/0.35 ( ! [X0 : $i] : (((sK1 @ (^[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)))))))) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X0))) ) | (spl6_1 | ~spl6_2)),
% 0.15/0.35 inference(superposition,[],[f53,f308])).
% 0.15/0.35 thf(f308,plain,(
% 0.15/0.35 ((sK1 @ (^[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),
% 0.15/0.35 inference(trivial_inequality_removal,[],[f307])).
% 0.15/0.35 thf(f307,plain,(
% 0.15/0.35 ($true = $false) | ((sK1 @ (^[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),
% 0.15/0.35 inference(duplicate_literal_removal,[],[f306])).
% 0.15/0.35 thf(f306,plain,(
% 0.15/0.35 ((sK1 @ (^[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)))))))) | ($true = $false) | ($true = $false) | spl6_1),
% 0.15/0.35 inference(beta_eta_normalization,[],[f290])).
% 0.15/0.35 thf(f290,plain,(
% 0.15/0.35 ( ! [X8 : $i,X6 : $i] : (($true = ((^[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))))))) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false))))))) @ X6)) | ((sK1 @ (^[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)))))))) | ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8))) ) | spl6_1),
% 0.15/0.35 inference(primitive_instantiation,[],[f156])).
% 0.15/0.35 thf(f156,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (($true = (X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6)) | ((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))) ) | spl6_1),
% 0.15/0.35 inference(subsumption_resolution,[],[f142,f49])).
% 0.15/0.35 thf(f142,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ((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 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6))) )),
% 0.15/0.35 inference(equality_proxy_clausification,[],[f141])).
% 0.15/0.35 thf(f141,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($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 = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ($true = (X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6))) )),
% 0.15/0.35 inference(equality_proxy_clausification,[],[f140])).
% 0.15/0.35 thf(f140,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($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 = (X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6))) )),
% 0.15/0.35 inference(trivial_inequality_removal,[],[f139])).
% 0.15/0.35 thf(f139,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (($true != $true) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($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 = (X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6))) )),
% 0.15/0.35 inference(boolean_simplification,[],[f138])).
% 0.15/0.35 thf(f138,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (($true != ((sK5 @ (^[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 : $i]: ($false)) = (^[Y0 : $i]: ($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 = (X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6)) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8))) )),
% 0.15/0.35 inference(beta_eta_normalization,[],[f131])).
% 0.15/0.35 thf(f131,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[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 > $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 : $i]: (Y1 = Y0)))))) @ X0) @ X6)) | ($true = (X0 @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK1 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ X6))) )),
% 0.15/0.35 inference(primitive_instantiation,[],[f18])).
% 0.15/0.35 thf(f18,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i,X6 : $i] : (($true != (X1 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK4 @ X1 @ X0))) | ($true = (X0 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6)) | ($true = (X1 @ (sK2 @ X1 @ X0) @ (sK1 @ X1 @ X0) @ X6)) | ((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8))) )),
% 0.15/0.35 inference(cnf_transformation,[],[f13])).
% 0.15/0.35 thf(f53,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (((sK2 @ (^[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))) ) | ~spl6_2),
% 0.15/0.35 inference(avatar_component_clause,[],[f52])).
% 0.15/0.35 thf(f52,plain,(
% 0.15/0.35 spl6_2 <=> ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8] : (((sK2 @ (^[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)))),
% 0.15/0.35 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])).
% 0.15/0.35 thf(f54,plain,(
% 0.15/0.35 spl6_1 | spl6_2),
% 0.15/0.35 inference(avatar_split_clause,[],[f35,f52,f48])).
% 0.15/0.35 thf(f35,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (((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 : $i]: ($false)) = (^[Y0 : $i]: ($true))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8))) )),
% 0.15/0.35 inference(equality_proxy_clausification,[],[f34])).
% 0.15/0.35 thf(f34,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (((^[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 = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8))) )),
% 0.15/0.35 inference(equality_proxy_clausification,[],[f33])).
% 0.15/0.35 thf(f33,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ($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 : $i]: (Y1 = Y0)))))) @ X0)))) )),
% 0.15/0.35 inference(trivial_inequality_removal,[],[f32])).
% 0.15/0.35 thf(f32,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ($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 != $true)) )),
% 0.15/0.35 inference(boolean_simplification,[],[f31])).
% 0.15/0.35 thf(f31,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (($true = ((^[Y0 : $i]: ($false)) = (^[Y0 : $i]: ($true)))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ($true != ((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) = (sK5 @ (^[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 : $i]: (Y1 = Y0)))))) @ X0)))) )),
% 0.15/0.35 inference(beta_eta_normalization,[],[f22])).
% 0.15/0.35 thf(f22,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ($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) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0))) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8)) | ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (Y1 = Y0)))))) @ X0)))) )),
% 0.15/0.35 inference(primitive_instantiation,[],[f14])).
% 0.15/0.35 thf(f14,plain,(
% 0.15/0.35 ( ! [X0 : ($i > $o) > ($i > $o) > $i > $o,X1 : ($i > $o) > ($i > $o) > $i > $o,X8 : $i] : (($true != (X1 @ (sK5 @ X1 @ X0) @ (sK5 @ X1 @ X0) @ (sK4 @ X1 @ X0))) | ($true != (X1 @ (sK2 @ X1 @ X0) @ (sK0 @ X1 @ X0) @ (sK3 @ X1 @ X0))) | ((X1 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8) = $true) | ($true = (X0 @ (^[Y0 : $i]: ($true)) @ (^[Y0 : $i]: ($false)) @ X8))) )),
% 0.15/0.35 inference(cnf_transformation,[],[f13])).
% 0.15/0.35 % SZS output end Proof for Vampire---4
% 0.15/0.35 % (20401)------------------------------
% 0.15/0.35 % (20401)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (20401)Termination reason: Refutation
% 0.15/0.35
% 0.15/0.35 % (20401)Memory used [KB]: 5884
% 0.15/0.35 % (20401)Time elapsed: 0.042 s
% 0.15/0.35 % (20401)Instructions burned: 69 (million)
% 0.15/0.35 % (20401)------------------------------
% 0.15/0.35 % (20401)------------------------------
% 0.15/0.35 % (20395)Success in time 0.042 s
% 0.15/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------