TSTP Solution File: SEU508^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU508^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 : Tue May 21 03:49:13 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU508^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n025.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun May 19 16:14:22 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % (18105)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 theBenchmark for (2999ds/4Mi)
% 0.15/0.37 % (18104)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.37 % (18108)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.37 % (18109)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.37 % (18108)Instruction limit reached!
% 0.15/0.37 % (18108)------------------------------
% 0.15/0.37 % (18108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (18108)Termination reason: Unknown
% 0.15/0.37 % (18108)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (18108)Memory used [KB]: 1023
% 0.15/0.37 % (18108)Time elapsed: 0.003 s
% 0.15/0.37 % (18108)Instructions burned: 2 (million)
% 0.15/0.37 % (18108)------------------------------
% 0.15/0.37 % (18108)------------------------------
% 0.15/0.37 % (18105)Instruction limit reached!
% 0.15/0.37 % (18105)------------------------------
% 0.15/0.37 % (18105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (18105)Termination reason: Unknown
% 0.15/0.37 % (18105)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (18105)Memory used [KB]: 1023
% 0.15/0.37 % (18105)Time elapsed: 0.004 s
% 0.15/0.37 % (18105)Instructions burned: 4 (million)
% 0.15/0.37 % (18105)------------------------------
% 0.15/0.37 % (18105)------------------------------
% 0.15/0.37 % (18106)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 theBenchmark for (2999ds/27Mi)
% 0.15/0.38 % (18111)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.38 % (18110)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38 % (18111)Instruction limit reached!
% 0.15/0.38 % (18111)------------------------------
% 0.15/0.38 % (18111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (18111)Termination reason: Unknown
% 0.15/0.38 % (18111)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (18111)Memory used [KB]: 1023
% 0.15/0.38 % (18111)Time elapsed: 0.004 s
% 0.15/0.38 % (18111)Instructions burned: 4 (million)
% 0.15/0.38 % (18111)------------------------------
% 0.15/0.38 % (18111)------------------------------
% 0.15/0.38 % (18113)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 theBenchmark for (2999ds/15Mi)
% 0.15/0.38 % (18112)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 theBenchmark for (2999ds/37Mi)
% 0.15/0.38 % (18107)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.38 % (18107)Instruction limit reached!
% 0.15/0.38 % (18107)------------------------------
% 0.15/0.38 % (18107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (18107)Termination reason: Unknown
% 0.15/0.38 % (18107)Termination phase: shuffling
% 0.15/0.38
% 0.15/0.38 % (18107)Memory used [KB]: 1023
% 0.15/0.38 % (18107)Time elapsed: 0.003 s
% 0.15/0.38 % (18107)Instructions burned: 2 (million)
% 0.15/0.38 % (18107)------------------------------
% 0.15/0.38 % (18107)------------------------------
% 0.15/0.38 % (18106)Instruction limit reached!
% 0.15/0.38 % (18106)------------------------------
% 0.15/0.38 % (18106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (18106)Termination reason: Unknown
% 0.15/0.38 % (18106)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (18106)Memory used [KB]: 5756
% 0.15/0.38 % (18106)Time elapsed: 0.016 s
% 0.15/0.38 % (18106)Instructions burned: 27 (million)
% 0.15/0.38 % (18106)------------------------------
% 0.15/0.38 % (18106)------------------------------
% 0.15/0.39 % (18113)Instruction limit reached!
% 0.15/0.39 % (18113)------------------------------
% 0.15/0.39 % (18113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (18113)Termination reason: Unknown
% 0.15/0.39 % (18113)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (18113)Memory used [KB]: 1407
% 0.15/0.39 % (18113)Time elapsed: 0.009 s
% 0.15/0.39 % (18113)Instructions burned: 16 (million)
% 0.15/0.39 % (18113)------------------------------
% 0.15/0.39 % (18113)------------------------------
% 0.15/0.39 % (18110)Instruction limit reached!
% 0.15/0.39 % (18110)------------------------------
% 0.15/0.39 % (18110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (18110)Termination reason: Unknown
% 0.15/0.39 % (18110)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (18110)Memory used [KB]: 1407
% 0.15/0.39 % (18110)Time elapsed: 0.012 s
% 0.15/0.39 % (18110)Instructions burned: 19 (million)
% 0.15/0.39 % (18110)------------------------------
% 0.15/0.39 % (18110)------------------------------
% 0.15/0.40 % (18114)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40 % (18114)Instruction limit reached!
% 0.15/0.40 % (18114)------------------------------
% 0.15/0.40 % (18114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (18114)Termination reason: Unknown
% 0.15/0.40 % (18114)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (18114)Memory used [KB]: 1023
% 0.15/0.40 % (18114)Time elapsed: 0.004 s
% 0.15/0.40 % (18114)Instructions burned: 4 (million)
% 0.15/0.40 % (18114)------------------------------
% 0.15/0.40 % (18114)------------------------------
% 0.15/0.40 % (18116)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.40 % (18115)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 theBenchmark for (2999ds/1041Mi)
% 0.15/0.40 % (18112)Instruction limit reached!
% 0.15/0.40 % (18112)------------------------------
% 0.15/0.40 % (18112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (18112)Termination reason: Unknown
% 0.15/0.40 % (18112)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (18112)Memory used [KB]: 5756
% 0.15/0.40 % (18112)Time elapsed: 0.020 s
% 0.15/0.40 % (18112)Instructions burned: 38 (million)
% 0.15/0.40 % (18112)------------------------------
% 0.15/0.40 % (18112)------------------------------
% 0.15/0.40 % (18116)Instruction limit reached!
% 0.15/0.40 % (18116)------------------------------
% 0.15/0.40 % (18116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (18116)Termination reason: Unknown
% 0.15/0.40 % (18116)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (18116)Memory used [KB]: 1151
% 0.15/0.40 % (18116)Time elapsed: 0.005 s
% 0.15/0.40 % (18116)Instructions burned: 8 (million)
% 0.15/0.40 % (18116)------------------------------
% 0.15/0.40 % (18116)------------------------------
% 0.15/0.41 % (18117)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.41 % (18118)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 theBenchmark for (2999ds/3Mi)
% 0.15/0.41 % (18118)Instruction limit reached!
% 0.15/0.41 % (18118)------------------------------
% 0.15/0.41 % (18118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (18118)Termination reason: Unknown
% 0.15/0.41 % (18118)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (18118)Memory used [KB]: 1023
% 0.15/0.41 % (18118)Time elapsed: 0.003 s
% 0.15/0.41 % (18118)Instructions burned: 3 (million)
% 0.15/0.41 % (18118)------------------------------
% 0.15/0.41 % (18118)------------------------------
% 0.15/0.41 % (18119)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 theBenchmark for (2999ds/3Mi)
% 0.15/0.41 % (18117)Instruction limit reached!
% 0.15/0.41 % (18117)------------------------------
% 0.15/0.41 % (18117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (18117)Termination reason: Unknown
% 0.15/0.41 % (18117)Termination phase: Property scanning
% 0.15/0.41
% 0.15/0.41 % (18117)Memory used [KB]: 1151
% 0.15/0.41 % (18117)Time elapsed: 0.009 s
% 0.15/0.41 % (18117)Instructions burned: 17 (million)
% 0.15/0.41 % (18117)------------------------------
% 0.15/0.41 % (18117)------------------------------
% 0.15/0.41 % (18119)Instruction limit reached!
% 0.15/0.41 % (18119)------------------------------
% 0.15/0.41 % (18119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (18119)Termination reason: Unknown
% 0.15/0.41 % (18119)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (18119)Memory used [KB]: 1023
% 0.15/0.41 % (18119)Time elapsed: 0.004 s
% 0.15/0.41 % (18119)Instructions burned: 4 (million)
% 0.15/0.41 % (18119)------------------------------
% 0.15/0.41 % (18119)------------------------------
% 0.15/0.41 % (18121)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.42 % (18120)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.42 % (18121)Instruction limit reached!
% 0.15/0.42 % (18121)------------------------------
% 0.15/0.42 % (18121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (18121)Termination reason: Unknown
% 0.15/0.42 % (18121)Termination phase: shuffling
% 0.15/0.42
% 0.15/0.42 % (18121)Memory used [KB]: 1023
% 0.15/0.42 % (18121)Time elapsed: 0.003 s
% 0.15/0.42 % (18121)Instructions burned: 3 (million)
% 0.15/0.42 % (18121)------------------------------
% 0.15/0.42 % (18121)------------------------------
% 0.15/0.42 % (18120)Instruction limit reached!
% 0.15/0.42 % (18120)------------------------------
% 0.15/0.42 % (18120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (18120)Termination reason: Unknown
% 0.15/0.42 % (18120)Termination phase: Property scanning
% 0.15/0.42
% 0.15/0.42 % (18120)Memory used [KB]: 1151
% 0.15/0.42 % (18120)Time elapsed: 0.005 s
% 0.15/0.42 % (18120)Instructions burned: 7 (million)
% 0.15/0.42 % (18120)------------------------------
% 0.15/0.42 % (18120)------------------------------
% 0.21/0.42 % (18104)First to succeed.
% 0.21/0.42 % (18122)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.42 % (18122)Instruction limit reached!
% 0.21/0.42 % (18122)------------------------------
% 0.21/0.42 % (18122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (18122)Termination reason: Unknown
% 0.21/0.42 % (18122)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (18122)Memory used [KB]: 1023
% 0.21/0.42 % (18122)Time elapsed: 0.004 s
% 0.21/0.42 % (18122)Instructions burned: 4 (million)
% 0.21/0.42 % (18122)------------------------------
% 0.21/0.42 % (18122)------------------------------
% 0.21/0.43 % (18104)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% 0.21/0.43 thf(func_def_0, type, in: $i > $i > $o).
% 0.21/0.43 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.21/0.43 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.21/0.43 thf(func_def_8, type, powerset: $i > $i).
% 0.21/0.43 thf(func_def_10, type, setunion: $i > $i).
% 0.21/0.43 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.21/0.43 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.21/0.43 thf(func_def_26, type, prop2set: $o > $i).
% 0.21/0.43 thf(func_def_53, type, sK2: $i > $o).
% 0.21/0.43 thf(func_def_55, type, sK4: $i > $i).
% 0.21/0.43 thf(func_def_56, type, sK5: ($i > $o) > $i).
% 0.21/0.43 thf(func_def_57, type, sK6: ($i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_58, type, sK7: $i > $i > $i).
% 0.21/0.43 thf(func_def_59, type, sK8: $i > $i > $i).
% 0.21/0.43 thf(func_def_60, type, sK9: $i > $i > $i).
% 0.21/0.43 thf(func_def_61, type, sK10: $i > $i > $i).
% 0.21/0.43 thf(func_def_62, type, sK11: ($i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_63, type, sK12: $i > $i).
% 0.21/0.43 thf(func_def_64, type, sK13: $i > $i).
% 0.21/0.43 thf(func_def_65, type, sK14: $i > $i).
% 0.21/0.43 thf(func_def_66, type, sK15: $i > $i > $i > $i).
% 0.21/0.43 thf(func_def_67, type, sK16: $i > $i > $i).
% 0.21/0.43 thf(func_def_68, type, sK17: $i > $i > $i).
% 0.21/0.43 thf(func_def_69, type, sK18: $i > $i > $i).
% 0.21/0.43 thf(func_def_71, type, sK19: ($i > $i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_72, type, sK20: ($i > $i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_73, type, sK21: $i > ($i > $i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_74, type, sK22: ($i > $i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_75, type, sK23: $i > ($i > $i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_76, type, sK24: $i > ($i > $i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_77, type, sK25: $i > ($i > $i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_78, type, sK26: ($i > $o) > $i).
% 0.21/0.43 thf(func_def_79, type, sK27: ($i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_80, type, sK28: ($i > $o) > $i > $i).
% 0.21/0.43 thf(func_def_81, type, sK29: $i > $i > $i).
% 0.21/0.43 thf(func_def_82, type, sK30: $i > $i).
% 0.21/0.43 thf(func_def_83, type, ph31: !>[X0: $tType]:(X0)).
% 0.21/0.43 thf(func_def_84, type, sK32: $i > $i > $i).
% 0.21/0.43 thf(f808,plain,(
% 0.21/0.43 $false),
% 0.21/0.43 inference(avatar_sat_refutation,[],[f551,f560,f745,f757,f772,f807])).
% 0.21/0.43 thf(f807,plain,(
% 0.21/0.43 ~spl3_1 | spl3_2),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f806])).
% 0.21/0.43 thf(f806,plain,(
% 0.21/0.43 $false | (~spl3_1 | spl3_2)),
% 0.21/0.43 inference(subsumption_resolution,[],[f796,f549])).
% 0.21/0.43 thf(f549,plain,(
% 0.21/0.43 ((sK2 @ sK0) != $true) | spl3_2),
% 0.21/0.43 inference(avatar_component_clause,[],[f548])).
% 0.21/0.43 thf(f548,plain,(
% 0.21/0.43 spl3_2 <=> ((sK2 @ sK0) = $true)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl3_2])])).
% 0.21/0.43 thf(f796,plain,(
% 0.21/0.43 ((sK2 @ sK0) = $true) | ~spl3_1),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f795])).
% 0.21/0.43 thf(f795,plain,(
% 0.21/0.43 ($true = $false) | ((sK2 @ sK0) = $true) | ~spl3_1),
% 0.21/0.43 inference(superposition,[],[f331,f546])).
% 0.21/0.43 thf(f546,plain,(
% 0.21/0.43 ($true = (in @ sK0 @ (dsetconstr @ sK1 @ sK2))) | ~spl3_1),
% 0.21/0.43 inference(avatar_component_clause,[],[f544])).
% 0.21/0.43 thf(f544,plain,(
% 0.21/0.43 spl3_1 <=> ($true = (in @ sK0 @ (dsetconstr @ sK1 @ sK2)))),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl3_1])])).
% 0.21/0.43 thf(f331,plain,(
% 0.21/0.43 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (((in @ X3 @ (dsetconstr @ X1 @ X2)) = $false) | ((X2 @ X3) = $true)) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f330])).
% 0.21/0.43 thf(f330,plain,(
% 0.21/0.43 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : ((((in @ X3 @ (dsetconstr @ X1 @ X2)) => (X2 @ X3)) = $true)) )),
% 0.21/0.43 inference(beta_eta_normalization,[],[f329])).
% 0.21/0.43 thf(f329,plain,(
% 0.21/0.43 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ X1 @ X2)) => (X2 @ Y0))) @ X3))) )),
% 0.21/0.43 inference(pi_clausification,[],[f328])).
% 0.21/0.43 thf(f328,plain,(
% 0.21/0.43 ( ! [X2 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ X1 @ X2)) => (X2 @ Y0)))))) )),
% 0.21/0.43 inference(beta_eta_normalization,[],[f327])).
% 0.21/0.43 thf(f327,plain,(
% 0.21/0.43 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (dsetconstr @ X1 @ Y0)) => (Y0 @ Y1))))) @ X2) = $true)) )),
% 0.21/0.43 inference(pi_clausification,[],[f326])).
% 0.21/0.43 thf(f326,plain,(
% 0.21/0.43 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (dsetconstr @ X1 @ Y0)) => (Y0 @ Y1)))))) = $true)) )),
% 0.21/0.43 inference(beta_eta_normalization,[],[f325])).
% 0.21/0.43 thf(f325,plain,(
% 0.21/0.43 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y0 @ Y1)) => (Y1 @ Y2))))))) @ X1))) )),
% 0.21/0.43 inference(pi_clausification,[],[f324])).
% 0.21/0.43 thf(f324,plain,(
% 0.21/0.43 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y0 @ Y1)) => (Y1 @ Y2)))))))) = $true)),
% 0.21/0.43 inference(beta_eta_normalization,[],[f153])).
% 0.21/0.43 thf(f153,plain,(
% 0.21/0.43 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (Y1 @ Y3)))) => (Y1 @ Y2)))))))))),
% 0.21/0.43 inference(definition_unfolding,[],[f117,f107])).
% 0.21/0.43 thf(f107,plain,(
% 0.21/0.43 (dsetconstrER = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (Y1 @ Y3)))) => (Y1 @ Y2)))))))))),
% 0.21/0.43 inference(cnf_transformation,[],[f44])).
% 0.21/0.43 thf(f44,plain,(
% 0.21/0.43 (dsetconstrER = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (Y1 @ Y3)))) => (Y1 @ Y2)))))))))),
% 0.21/0.43 inference(fool_elimination,[],[f43])).
% 0.21/0.43 thf(f43,plain,(
% 0.21/0.43 (! [X0,X1 : $i > $o,X2] : ((in @ X0 @ (dsetconstr @ X2 @ (^[X3 : $i] : (X1 @ X3)))) => (X1 @ X0)) = dsetconstrER)),
% 0.21/0.43 inference(rectify,[],[f16])).
% 0.21/0.43 thf(f16,axiom,(
% 0.21/0.43 (! [X1,X0 : $i > $o,X3] : ((in @ X1 @ (dsetconstr @ X3 @ (^[X2 : $i] : (X0 @ X2)))) => (X0 @ X1)) = dsetconstrER)),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER)).
% 0.21/0.43 thf(f117,plain,(
% 0.21/0.43 (dsetconstrER = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f84])).
% 0.21/0.43 thf(f84,plain,(
% 0.21/0.43 (dsetconstrI = $true) & (omega0Ax = $true) & (foundationAx = $true) & (setext = $true) & (setextAx = $true) & (notinemptyset = $true) & (($true = (in @ sK0 @ sK1)) & ((sK2 @ sK0) != (in @ sK0 @ (dsetconstr @ sK1 @ (^[Y0 : $i]: (sK2 @ Y0)))))) & (prop2setE = $true) & (replAx = $true) & (omegaSAx = $true) & (dsetconstrEL = $true) & (noeltsimpempty = $true) & (setadjoinAx = $true) & (descrp = $true) & (powersetAx = $true) & (dsetconstrER = $true) & (exuE3e = $true) & (omegaIndAx = $true) & (wellorderingAx = $true) & (emptyI = $true) & (emptysetAx = $true) & (emptysetE = $true) & (setunionAx = $true) & (exuE1 = $true) & (emptysetimpfalse = $true)),
% 0.21/0.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f82,f83])).
% 0.21/0.43 thf(f83,plain,(
% 0.21/0.43 ? [X0,X1,X2 : $i > $o] : (($true = (in @ X0 @ X1)) & ((X2 @ X0) != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))))) => (($true = (in @ sK0 @ sK1)) & ((sK2 @ sK0) != (in @ sK0 @ (dsetconstr @ sK1 @ (^[Y0 : $i]: (sK2 @ Y0))))))),
% 0.21/0.43 introduced(choice_axiom,[])).
% 0.21/0.43 thf(f82,plain,(
% 0.21/0.43 (dsetconstrI = $true) & (omega0Ax = $true) & (foundationAx = $true) & (setext = $true) & (setextAx = $true) & (notinemptyset = $true) & ? [X0,X1,X2 : $i > $o] : (($true = (in @ X0 @ X1)) & ((X2 @ X0) != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))))) & (prop2setE = $true) & (replAx = $true) & (omegaSAx = $true) & (dsetconstrEL = $true) & (noeltsimpempty = $true) & (setadjoinAx = $true) & (descrp = $true) & (powersetAx = $true) & (dsetconstrER = $true) & (exuE3e = $true) & (omegaIndAx = $true) & (wellorderingAx = $true) & (emptyI = $true) & (emptysetAx = $true) & (emptysetE = $true) & (setunionAx = $true) & (exuE1 = $true) & (emptysetimpfalse = $true)),
% 0.21/0.43 inference(flattening,[],[f81])).
% 0.21/0.43 thf(f81,plain,(
% 0.21/0.43 (((((((((((((((((((((((? [X0,X1,X2 : $i > $o] : (($true = (in @ X0 @ X1)) & ((X2 @ X0) != (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0)))))) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 0.21/0.43 inference(ennf_transformation,[],[f52])).
% 0.21/0.43 thf(f52,plain,(
% 0.21/0.43 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ! [X0,X1,X2 : $i > $o] : (($true = (in @ X0 @ X1)) => ((X2 @ X0) = (in @ X0 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X2 @ Y0))))))))))))))))))))))))))))))),
% 0.21/0.43 inference(fool_elimination,[],[f51])).
% 0.21/0.43 thf(f51,plain,(
% 0.21/0.43 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => ! [X0,X1,X2 : $i > $o] : ((in @ X0 @ X1) => ((X2 @ X0) <=> (in @ X0 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X2 @ X3))))))))))))))))))))))))))))))),
% 0.21/0.43 inference(rectify,[],[f28])).
% 0.21/0.43 thf(f28,negated_conjecture,(
% 0.21/0.43 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => ! [X1,X3,X0 : $i > $o] : ((in @ X1 @ X3) => ((X0 @ X1) <=> (in @ X1 @ (dsetconstr @ X3 @ (^[X2 : $i] : (X0 @ X2))))))))))))))))))))))))))))))),
% 0.21/0.43 inference(negated_conjecture,[],[f27])).
% 0.21/0.43 thf(f27,conjecture,(
% 0.21/0.43 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => ! [X1,X3,X0 : $i > $o] : ((in @ X1 @ X3) => ((X0 @ X1) <=> (in @ X1 @ (dsetconstr @ X3 @ (^[X2 : $i] : (X0 @ X2)))))))))))))))))))))))))))))),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setbeta)).
% 0.21/0.43 thf(f772,plain,(
% 0.21/0.43 ~spl3_5),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f771])).
% 0.21/0.43 thf(f771,plain,(
% 0.21/0.43 $false | ~spl3_5),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f761])).
% 0.21/0.43 thf(f761,plain,(
% 0.21/0.43 ($true = $false) | ~spl3_5),
% 0.21/0.43 inference(superposition,[],[f743,f127])).
% 0.21/0.43 thf(f127,plain,(
% 0.21/0.43 ($true = (in @ sK0 @ sK1))),
% 0.21/0.43 inference(cnf_transformation,[],[f84])).
% 0.21/0.43 thf(f743,plain,(
% 0.21/0.43 ($false = (in @ sK0 @ sK1)) | ~spl3_5),
% 0.21/0.43 inference(avatar_component_clause,[],[f741])).
% 0.21/0.43 thf(f741,plain,(
% 0.21/0.43 spl3_5 <=> ($false = (in @ sK0 @ sK1))),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl3_5])])).
% 0.21/0.43 thf(f757,plain,(
% 0.21/0.43 ~spl3_2 | ~spl3_4),
% 0.21/0.43 inference(avatar_contradiction_clause,[],[f756])).
% 0.21/0.43 thf(f756,plain,(
% 0.21/0.43 $false | (~spl3_2 | ~spl3_4)),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f746])).
% 0.21/0.43 thf(f746,plain,(
% 0.21/0.43 ($true = $false) | (~spl3_2 | ~spl3_4)),
% 0.21/0.43 inference(superposition,[],[f559,f550])).
% 0.21/0.43 thf(f550,plain,(
% 0.21/0.43 ((sK2 @ sK0) = $true) | ~spl3_2),
% 0.21/0.43 inference(avatar_component_clause,[],[f548])).
% 0.21/0.43 thf(f559,plain,(
% 0.21/0.43 ((sK2 @ sK0) = $false) | ~spl3_4),
% 0.21/0.43 inference(avatar_component_clause,[],[f557])).
% 0.21/0.43 thf(f557,plain,(
% 0.21/0.43 spl3_4 <=> ((sK2 @ sK0) = $false)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl3_4])])).
% 0.21/0.43 thf(f745,plain,(
% 0.21/0.43 spl3_5 | spl3_4 | ~spl3_3),
% 0.21/0.43 inference(avatar_split_clause,[],[f734,f553,f557,f741])).
% 0.21/0.43 thf(f553,plain,(
% 0.21/0.43 spl3_3 <=> ((in @ sK0 @ (dsetconstr @ sK1 @ sK2)) = $false)),
% 0.21/0.43 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])).
% 0.21/0.43 thf(f734,plain,(
% 0.21/0.43 ($false = (in @ sK0 @ sK1)) | ((sK2 @ sK0) = $false) | ~spl3_3),
% 0.21/0.43 inference(trivial_inequality_removal,[],[f729])).
% 0.21/0.43 thf(f729,plain,(
% 0.21/0.43 ((sK2 @ sK0) = $false) | ($false = (in @ sK0 @ sK1)) | ($true = $false) | ~spl3_3),
% 0.21/0.43 inference(superposition,[],[f555,f205])).
% 0.21/0.43 thf(f205,plain,(
% 0.21/0.43 ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : (($true = (in @ X2 @ (dsetconstr @ X1 @ X3))) | ((X3 @ X2) = $false) | ((in @ X2 @ X1) = $false)) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f204])).
% 0.21/0.43 thf(f204,plain,(
% 0.21/0.43 ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : (((in @ X2 @ X1) = $false) | ($true = ((X3 @ X2) => (in @ X2 @ (dsetconstr @ X1 @ X3))))) )),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f203])).
% 0.21/0.43 thf(f203,plain,(
% 0.21/0.43 ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : ((((in @ X2 @ X1) => ((X3 @ X2) => (in @ X2 @ (dsetconstr @ X1 @ X3)))) = $true)) )),
% 0.21/0.43 inference(beta_eta_normalization,[],[f202])).
% 0.21/0.43 thf(f202,plain,(
% 0.21/0.43 ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((in @ X2 @ X1) => ((Y0 @ X2) => (in @ X2 @ (dsetconstr @ X1 @ Y0))))) @ X3) = $true)) )),
% 0.21/0.43 inference(pi_clausification,[],[f201])).
% 0.21/0.43 thf(f201,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((in @ X2 @ X1) => ((Y0 @ X2) => (in @ X2 @ (dsetconstr @ X1 @ Y0)))))))) )),
% 0.21/0.43 inference(beta_eta_normalization,[],[f200])).
% 0.21/0.43 thf(f200,plain,(
% 0.21/0.43 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((in @ Y0 @ X1) => ((Y1 @ Y0) => (in @ Y0 @ (dsetconstr @ X1 @ Y1))))))) @ X2) = $true)) )),
% 0.21/0.43 inference(pi_clausification,[],[f199])).
% 0.21/0.43 thf(f199,plain,(
% 0.21/0.43 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((in @ Y0 @ X1) => ((Y1 @ Y0) => (in @ Y0 @ (dsetconstr @ X1 @ Y1)))))))))) )),
% 0.21/0.43 inference(beta_eta_normalization,[],[f198])).
% 0.21/0.43 thf(f198,plain,(
% 0.21/0.43 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y1 @ Y0) => ((Y2 @ Y1) => (in @ Y1 @ (dsetconstr @ Y0 @ Y2))))))))) @ X1) = $true)) )),
% 0.21/0.43 inference(pi_clausification,[],[f197])).
% 0.21/0.43 thf(f197,plain,(
% 0.21/0.43 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y1 @ Y0) => ((Y2 @ Y1) => (in @ Y1 @ (dsetconstr @ Y0 @ Y2)))))))))) = $true)),
% 0.21/0.43 inference(beta_eta_normalization,[],[f140])).
% 0.21/0.43 thf(f140,plain,(
% 0.21/0.43 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y1 @ Y0) => ((Y2 @ Y1) => (in @ Y1 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (Y2 @ Y3)))))))))))) = $true)),
% 0.21/0.43 inference(definition_unfolding,[],[f133,f106])).
% 0.21/0.43 thf(f106,plain,(
% 0.21/0.43 (dsetconstrI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y1 @ Y0) => ((Y2 @ Y1) => (in @ Y1 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (Y2 @ Y3)))))))))))))),
% 0.21/0.43 inference(cnf_transformation,[],[f72])).
% 0.21/0.43 thf(f72,plain,(
% 0.21/0.43 (dsetconstrI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y1 @ Y0) => ((Y2 @ Y1) => (in @ Y1 @ (dsetconstr @ Y0 @ (^[Y3 : $i]: (Y2 @ Y3)))))))))))))),
% 0.21/0.43 inference(fool_elimination,[],[f71])).
% 0.21/0.43 thf(f71,plain,(
% 0.21/0.43 (! [X0 : $i > $o,X1,X2] : ((in @ X1 @ X2) => ((X0 @ X1) => (in @ X1 @ (dsetconstr @ X2 @ (^[X3 : $i] : (X0 @ X3)))))) = dsetconstrI)),
% 0.21/0.43 inference(rectify,[],[f14])).
% 0.21/0.43 thf(f14,axiom,(
% 0.21/0.43 (! [X0 : $i > $o,X1,X3] : ((in @ X1 @ X3) => ((X0 @ X1) => (in @ X1 @ (dsetconstr @ X3 @ (^[X2 : $i] : (X0 @ X2)))))) = dsetconstrI)),
% 0.21/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrI)).
% 0.21/0.43 thf(f133,plain,(
% 0.21/0.43 (dsetconstrI = $true)),
% 0.21/0.43 inference(cnf_transformation,[],[f84])).
% 0.21/0.43 thf(f555,plain,(
% 0.21/0.43 ((in @ sK0 @ (dsetconstr @ sK1 @ sK2)) = $false) | ~spl3_3),
% 0.21/0.43 inference(avatar_component_clause,[],[f553])).
% 0.21/0.43 thf(f560,plain,(
% 0.21/0.43 spl3_3 | spl3_4),
% 0.21/0.43 inference(avatar_split_clause,[],[f284,f557,f553])).
% 0.21/0.43 thf(f284,plain,(
% 0.21/0.43 ((sK2 @ sK0) = $false) | ((in @ sK0 @ (dsetconstr @ sK1 @ sK2)) = $false)),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f282])).
% 0.21/0.43 thf(f282,plain,(
% 0.21/0.43 ((sK2 @ sK0) != (in @ sK0 @ (dsetconstr @ sK1 @ sK2)))),
% 0.21/0.43 inference(beta_eta_normalization,[],[f126])).
% 0.21/0.43 thf(f126,plain,(
% 0.21/0.43 ((sK2 @ sK0) != (in @ sK0 @ (dsetconstr @ sK1 @ (^[Y0 : $i]: (sK2 @ Y0)))))),
% 0.21/0.43 inference(cnf_transformation,[],[f84])).
% 0.21/0.43 thf(f551,plain,(
% 0.21/0.43 spl3_1 | spl3_2),
% 0.21/0.43 inference(avatar_split_clause,[],[f283,f548,f544])).
% 0.21/0.43 thf(f283,plain,(
% 0.21/0.43 ($true = (in @ sK0 @ (dsetconstr @ sK1 @ sK2))) | ((sK2 @ sK0) = $true)),
% 0.21/0.43 inference(binary_proxy_clausification,[],[f282])).
% 0.21/0.43 % SZS output end Proof for theBenchmark
% 0.21/0.43 % (18104)------------------------------
% 0.21/0.43 % (18104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (18104)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (18104)Memory used [KB]: 6268
% 0.21/0.43 % (18104)Time elapsed: 0.059 s
% 0.21/0.43 % (18104)Instructions burned: 94 (million)
% 0.21/0.43 % (18104)------------------------------
% 0.21/0.43 % (18104)------------------------------
% 0.21/0.43 % (18103)Success in time 0.074 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------