TSTP Solution File: NUM669^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM669^4 : TPTP v8.1.2. Released v7.1.0.
% 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 : n021.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 08:14:09 EDT 2024
% Result : Theorem 0.22s 0.51s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM669^4 : TPTP v8.1.2. Released v7.1.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 15:06:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TH0_THM_EQU_NAR problem
% 0.16/0.36 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.Lq1I8i97WT/Vampire---4.8_22271
% 0.16/0.39 % (22395)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 (2999ds/27Mi)
% 0.16/0.39 % (22394)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 (2999ds/4Mi)
% 0.16/0.39 % (22396)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.16/0.39 % (22393)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.16/0.39 % (22397)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 (2999ds/2Mi)
% 0.16/0.39 % (22396)Instruction limit reached!
% 0.16/0.39 % (22396)------------------------------
% 0.16/0.39 % (22396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (22396)Termination reason: Unknown
% 0.16/0.40 % (22396)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (22396)Memory used [KB]: 1279
% 0.16/0.40 % (22396)Time elapsed: 0.003 s
% 0.16/0.40 % (22396)Instructions burned: 2 (million)
% 0.16/0.40 % (22396)------------------------------
% 0.16/0.40 % (22396)------------------------------
% 0.16/0.40 % (22400)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 (2999ds/3Mi)
% 0.16/0.40 % (22397)Instruction limit reached!
% 0.16/0.40 % (22397)------------------------------
% 0.16/0.40 % (22397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (22397)Termination reason: Unknown
% 0.16/0.40 % (22397)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (22397)Memory used [KB]: 1279
% 0.16/0.40 % (22397)Time elapsed: 0.004 s
% 0.16/0.40 % (22397)Instructions burned: 3 (million)
% 0.16/0.40 % (22397)------------------------------
% 0.16/0.40 % (22397)------------------------------
% 0.16/0.40 % (22394)Instruction limit reached!
% 0.16/0.40 % (22394)------------------------------
% 0.16/0.40 % (22394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (22394)Termination reason: Unknown
% 0.16/0.40 % (22394)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (22394)Memory used [KB]: 1279
% 0.16/0.40 % (22394)Time elapsed: 0.005 s
% 0.16/0.40 % (22394)Instructions burned: 5 (million)
% 0.16/0.40 % (22394)------------------------------
% 0.16/0.40 % (22394)------------------------------
% 0.16/0.40 % (22400)Instruction limit reached!
% 0.16/0.40 % (22400)------------------------------
% 0.16/0.40 % (22400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (22400)Termination reason: Unknown
% 0.16/0.40 % (22400)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (22400)Memory used [KB]: 1279
% 0.16/0.40 % (22400)Time elapsed: 0.004 s
% 0.16/0.40 % (22400)Instructions burned: 3 (million)
% 0.16/0.40 % (22400)------------------------------
% 0.16/0.40 % (22400)------------------------------
% 0.22/0.40 % (22398)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 (2999ds/275Mi)
% 0.22/0.41 % (22399)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.41 % (22395)Instruction limit reached!
% 0.22/0.41 % (22395)------------------------------
% 0.22/0.41 % (22395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (22395)Termination reason: Unknown
% 0.22/0.41 % (22395)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (22395)Memory used [KB]: 1663
% 0.22/0.41 % (22395)Time elapsed: 0.017 s
% 0.22/0.41 % (22395)Instructions burned: 28 (million)
% 0.22/0.41 % (22395)------------------------------
% 0.22/0.41 % (22395)------------------------------
% 0.22/0.41 % (22402)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)
% 0.22/0.41 % (22401)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)
% 0.22/0.41 % (22404)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)
% 0.22/0.42 % (22403)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)
% 0.22/0.42 % (22399)Instruction limit reached!
% 0.22/0.42 % (22399)------------------------------
% 0.22/0.42 % (22399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22399)Termination reason: Unknown
% 0.22/0.42 % (22399)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (22399)Memory used [KB]: 1535
% 0.22/0.42 % (22399)Time elapsed: 0.012 s
% 0.22/0.42 % (22399)Instructions burned: 19 (million)
% 0.22/0.42 % (22399)------------------------------
% 0.22/0.42 % (22399)------------------------------
% 0.22/0.42 % (22402)Instruction limit reached!
% 0.22/0.42 % (22402)------------------------------
% 0.22/0.42 % (22402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22402)Termination reason: Unknown
% 0.22/0.42 % (22402)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (22402)Memory used [KB]: 1535
% 0.22/0.42 % (22402)Time elapsed: 0.009 s
% 0.22/0.42 % (22402)Instructions burned: 15 (million)
% 0.22/0.42 % (22402)------------------------------
% 0.22/0.42 % (22402)------------------------------
% 0.22/0.42 % (22403)Instruction limit reached!
% 0.22/0.42 % (22403)------------------------------
% 0.22/0.42 % (22403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22403)Termination reason: Unknown
% 0.22/0.42 % (22403)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (22403)Memory used [KB]: 1279
% 0.22/0.42 % (22403)Time elapsed: 0.004 s
% 0.22/0.42 % (22403)Instructions burned: 3 (million)
% 0.22/0.42 % (22403)------------------------------
% 0.22/0.42 % (22403)------------------------------
% 0.22/0.42 % (22398)Refutation not found, incomplete strategy
% 0.22/0.42 % (22398)------------------------------
% 0.22/0.42 % (22398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (22398)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (22398)Memory used [KB]: 6140
% 0.22/0.42 % (22398)Time elapsed: 0.024 s
% 0.22/0.42 % (22398)Instructions burned: 43 (million)
% 0.22/0.42 % (22398)------------------------------
% 0.22/0.42 % (22398)------------------------------
% 0.22/0.42 % (22405)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)
% 0.22/0.43 % (22405)Instruction limit reached!
% 0.22/0.43 % (22405)------------------------------
% 0.22/0.43 % (22405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (22405)Termination reason: Unknown
% 0.22/0.43 % (22405)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (22405)Memory used [KB]: 1407
% 0.22/0.43 % (22405)Time elapsed: 0.006 s
% 0.22/0.43 % (22405)Instructions burned: 7 (million)
% 0.22/0.43 % (22405)------------------------------
% 0.22/0.43 % (22405)------------------------------
% 0.22/0.43 % (22401)Instruction limit reached!
% 0.22/0.43 % (22401)------------------------------
% 0.22/0.43 % (22401)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (22401)Termination reason: Unknown
% 0.22/0.43 % (22401)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (22401)Memory used [KB]: 1663
% 0.22/0.43 % (22401)Time elapsed: 0.020 s
% 0.22/0.43 % (22401)Instructions burned: 37 (million)
% 0.22/0.43 % (22401)------------------------------
% 0.22/0.43 % (22401)------------------------------
% 0.22/0.43 % (22407)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)
% 0.22/0.43 % (22406)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)
% 0.22/0.43 % (22407)Instruction limit reached!
% 0.22/0.43 % (22407)------------------------------
% 0.22/0.43 % (22407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (22407)Termination reason: Unknown
% 0.22/0.43 % (22407)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (22407)Memory used [KB]: 1279
% 0.22/0.43 % (22407)Time elapsed: 0.003 s
% 0.22/0.43 % (22407)Instructions burned: 3 (million)
% 0.22/0.43 % (22407)------------------------------
% 0.22/0.43 % (22407)------------------------------
% 0.22/0.43 % (22408)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)
% 0.22/0.43 % (22408)Instruction limit reached!
% 0.22/0.43 % (22408)------------------------------
% 0.22/0.43 % (22408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (22408)Termination reason: Unknown
% 0.22/0.43 % (22408)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (22408)Memory used [KB]: 1279
% 0.22/0.43 % (22408)Time elapsed: 0.004 s
% 0.22/0.43 % (22408)Instructions burned: 4 (million)
% 0.22/0.43 % (22408)------------------------------
% 0.22/0.43 % (22408)------------------------------
% 0.22/0.44 % (22409)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)
% 0.22/0.44 % (22406)Instruction limit reached!
% 0.22/0.44 % (22406)------------------------------
% 0.22/0.44 % (22406)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (22406)Termination reason: Unknown
% 0.22/0.44 % (22406)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (22406)Memory used [KB]: 1535
% 0.22/0.44 % (22406)Time elapsed: 0.011 s
% 0.22/0.44 % (22406)Instructions burned: 17 (million)
% 0.22/0.44 % (22406)------------------------------
% 0.22/0.44 % (22406)------------------------------
% 0.22/0.44 % (22412)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)
% 0.22/0.44 % (22409)Instruction limit reached!
% 0.22/0.44 % (22409)------------------------------
% 0.22/0.44 % (22409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (22409)Termination reason: Unknown
% 0.22/0.44 % (22409)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (22409)Memory used [KB]: 1407
% 0.22/0.44 % (22409)Time elapsed: 0.006 s
% 0.22/0.44 % (22409)Instructions burned: 8 (million)
% 0.22/0.44 % (22409)------------------------------
% 0.22/0.44 % (22409)------------------------------
% 0.22/0.44 % (22410)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)
% 0.22/0.44 % (22410)Instruction limit reached!
% 0.22/0.44 % (22410)------------------------------
% 0.22/0.44 % (22410)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (22410)Termination reason: Unknown
% 0.22/0.44 % (22410)Termination phase: shuffling
% 0.22/0.44 % (22411)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)
% 0.22/0.44
% 0.22/0.44 % (22410)Memory used [KB]: 1279
% 0.22/0.44 % (22410)Time elapsed: 0.004 s
% 0.22/0.44 % (22410)Instructions burned: 4 (million)
% 0.22/0.44 % (22410)------------------------------
% 0.22/0.44 % (22410)------------------------------
% 0.22/0.45 % (22411)Instruction limit reached!
% 0.22/0.45 % (22411)------------------------------
% 0.22/0.45 % (22411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (22411)Termination reason: Unknown
% 0.22/0.45 % (22411)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (22411)Memory used [KB]: 1279
% 0.22/0.45 % (22411)Time elapsed: 0.004 s
% 0.22/0.45 % (22411)Instructions burned: 4 (million)
% 0.22/0.45 % (22411)------------------------------
% 0.22/0.45 % (22411)------------------------------
% 0.22/0.45 % (22412)Instruction limit reached!
% 0.22/0.45 % (22412)------------------------------
% 0.22/0.45 % (22412)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (22412)Termination reason: Unknown
% 0.22/0.45 % (22412)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (22412)Memory used [KB]: 1535
% 0.22/0.45 % (22412)Time elapsed: 0.007 s
% 0.22/0.45 % (22412)Instructions burned: 19 (million)
% 0.22/0.45 % (22412)------------------------------
% 0.22/0.45 % (22412)------------------------------
% 0.22/0.45 % (22413)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)
% 0.22/0.45 % (22393)Instruction limit reached!
% 0.22/0.45 % (22393)------------------------------
% 0.22/0.45 % (22393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (22393)Termination reason: Unknown
% 0.22/0.45 % (22393)Termination phase: Function definition elimination
% 0.22/0.45
% 0.22/0.45 % (22393)Memory used [KB]: 1918
% 0.22/0.45 % (22393)Time elapsed: 0.062 s
% 0.22/0.45 % (22393)Instructions burned: 184 (million)
% 0.22/0.45 % (22393)------------------------------
% 0.22/0.45 % (22393)------------------------------
% 0.22/0.45 % (22414)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.46 % (22418)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.46 % (22415)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)
% 0.22/0.46 % (22418)Instruction limit reached!
% 0.22/0.46 % (22418)------------------------------
% 0.22/0.46 % (22418)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (22418)Termination reason: Unknown
% 0.22/0.46 % (22418)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (22418)Memory used [KB]: 1407
% 0.22/0.46 % (22418)Time elapsed: 0.003 s
% 0.22/0.46 % (22418)Instructions burned: 7 (million)
% 0.22/0.46 % (22418)------------------------------
% 0.22/0.46 % (22418)------------------------------
% 0.22/0.46 % (22414)Instruction limit reached!
% 0.22/0.46 % (22414)------------------------------
% 0.22/0.46 % (22414)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (22414)Termination reason: Unknown
% 0.22/0.46 % (22414)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (22414)Memory used [KB]: 1279
% 0.22/0.46 % (22414)Time elapsed: 0.005 s
% 0.22/0.46 % (22414)Instructions burned: 6 (million)
% 0.22/0.46 % (22414)------------------------------
% 0.22/0.46 % (22414)------------------------------
% 0.22/0.46 % (22416)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.22/0.46 % (22417)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.46 % (22417)Instruction limit reached!
% 0.22/0.46 % (22417)------------------------------
% 0.22/0.46 % (22417)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (22417)Termination reason: Unknown
% 0.22/0.46 % (22417)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (22417)Memory used [KB]: 1407
% 0.22/0.46 % (22417)Time elapsed: 0.005 s
% 0.22/0.46 % (22417)Instructions burned: 6 (million)
% 0.22/0.46 % (22417)------------------------------
% 0.22/0.46 % (22417)------------------------------
% 0.22/0.47 % (22420)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.22/0.47 % (22419)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.22/0.47 % (22416)Instruction limit reached!
% 0.22/0.47 % (22416)------------------------------
% 0.22/0.47 % (22416)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (22416)Termination reason: Unknown
% 0.22/0.47 % (22416)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (22416)Memory used [KB]: 1535
% 0.22/0.47 % (22416)Time elapsed: 0.013 s
% 0.22/0.47 % (22416)Instructions burned: 21 (million)
% 0.22/0.47 % (22416)------------------------------
% 0.22/0.47 % (22416)------------------------------
% 0.22/0.48 % (22421)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2999ds/19Mi)
% 0.22/0.48 % (22422)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.22/0.48 % (22423)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.22/0.49 % (22421)Instruction limit reached!
% 0.22/0.49 % (22421)------------------------------
% 0.22/0.49 % (22421)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (22421)Termination reason: Unknown
% 0.22/0.49 % (22421)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (22421)Memory used [KB]: 1535
% 0.22/0.49 % (22421)Time elapsed: 0.014 s
% 0.22/0.49 % (22421)Instructions burned: 19 (million)
% 0.22/0.49 % (22421)------------------------------
% 0.22/0.49 % (22421)------------------------------
% 0.22/0.49 % (22415)Refutation not found, incomplete strategy
% 0.22/0.49 % (22415)------------------------------
% 0.22/0.49 % (22415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (22415)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (22415)Memory used [KB]: 6396
% 0.22/0.49 % (22415)Time elapsed: 0.038 s
% 0.22/0.49 % (22415)Instructions burned: 82 (million)
% 0.22/0.49 % (22415)------------------------------
% 0.22/0.49 % (22415)------------------------------
% 0.22/0.49 % (22423)Instruction limit reached!
% 0.22/0.49 % (22423)------------------------------
% 0.22/0.49 % (22423)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (22423)Termination reason: Unknown
% 0.22/0.49 % (22423)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (22423)Memory used [KB]: 1535
% 0.22/0.49 % (22423)Time elapsed: 0.011 s
% 0.22/0.49 % (22423)Instructions burned: 17 (million)
% 0.22/0.49 % (22423)------------------------------
% 0.22/0.49 % (22423)------------------------------
% 0.22/0.50 % (22424)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.22/0.50 % (22424)Instruction limit reached!
% 0.22/0.50 % (22424)------------------------------
% 0.22/0.50 % (22424)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (22424)Termination reason: Unknown
% 0.22/0.50 % (22424)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (22424)Memory used [KB]: 1279
% 0.22/0.50 % (22424)Time elapsed: 0.003 s
% 0.22/0.50 % (22424)Instructions burned: 3 (million)
% 0.22/0.50 % (22424)------------------------------
% 0.22/0.50 % (22424)------------------------------
% 0.22/0.50 % (22425)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.22/0.51 % (22426)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.22/0.51 % (22420)First to succeed.
% 0.22/0.51 % (22420)Refutation found. Thanks to Tanya!
% 0.22/0.51 % SZS status Theorem for Vampire---4
% 0.22/0.51 % SZS output start Proof for Vampire---4
% 0.22/0.51 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 0.22/0.51 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 0.22/0.51 thf(func_def_3, type, eps: ($i > $o) > $i).
% 0.22/0.51 thf(func_def_4, type, in: $i > $i > $o).
% 0.22/0.51 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 0.22/0.51 thf(func_def_7, type, union: $i > $i).
% 0.22/0.51 thf(func_def_8, type, power: $i > $i).
% 0.22/0.51 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 0.22/0.51 thf(func_def_10, type, d_Union_closed: $i > $o).
% 0.22/0.51 thf(func_def_11, type, d_Power_closed: $i > $o).
% 0.22/0.51 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 0.22/0.51 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 0.22/0.51 thf(func_def_14, type, univof: $i > $i).
% 0.22/0.51 thf(func_def_15, type, if: $o > $i > $i > $i).
% 0.22/0.51 thf(func_def_16, type, nIn: $i > $i > $o).
% 0.22/0.51 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 0.22/0.51 thf(func_def_18, type, d_Sing: $i > $i).
% 0.22/0.51 thf(func_def_19, type, binunion: $i > $i > $i).
% 0.22/0.51 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 0.22/0.51 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 0.22/0.51 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 0.22/0.51 thf(func_def_23, type, setminus: $i > $i > $i).
% 0.22/0.51 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 0.22/0.51 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 0.22/0.51 thf(func_def_26, type, ordsucc: $i > $i).
% 0.22/0.51 thf(func_def_27, type, nat_p: $i > $o).
% 0.22/0.51 thf(func_def_29, type, d_Inj1: $i > $i).
% 0.22/0.51 thf(func_def_30, type, d_Inj0: $i > $i).
% 0.22/0.51 thf(func_def_31, type, d_Unj: $i > $i).
% 0.22/0.51 thf(func_def_32, type, pair: $i > $i > $i).
% 0.22/0.51 thf(func_def_33, type, proj0: $i > $i).
% 0.22/0.51 thf(func_def_34, type, proj1: $i > $i).
% 0.22/0.51 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 0.22/0.51 thf(func_def_36, type, setprod: $i > $i > $i).
% 0.22/0.51 thf(func_def_37, type, ap: $i > $i > $i).
% 0.22/0.51 thf(func_def_38, type, pair_p: $i > $o).
% 0.22/0.51 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 0.22/0.51 thf(func_def_40, type, imp: $o > $o > $o).
% 0.22/0.51 thf(func_def_41, type, d_not: $o > $o).
% 0.22/0.51 thf(func_def_42, type, wel: $o > $o).
% 0.22/0.51 thf(func_def_44, type, l_ec: $o > $o > $o).
% 0.22/0.51 thf(func_def_45, type, d_and: $o > $o > $o).
% 0.22/0.51 thf(func_def_46, type, l_or: $o > $o > $o).
% 0.22/0.51 thf(func_def_47, type, orec: $o > $o > $o).
% 0.22/0.51 thf(func_def_48, type, l_iff: $o > $o > $o).
% 0.22/0.51 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 0.22/0.51 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 0.22/0.51 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 0.22/0.51 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 0.22/0.51 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 0.22/0.51 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 0.22/0.51 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 0.22/0.51 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 0.22/0.51 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 0.22/0.51 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 0.22/0.51 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 0.22/0.51 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 0.22/0.51 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_72, type, first: $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_73, type, second: $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_80, type, r_ec: $o > $o > $o).
% 0.22/0.51 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_82, type, empty: $i > $i > $o).
% 0.22/0.51 thf(func_def_83, type, nonempty: $i > $i > $o).
% 0.22/0.51 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.51 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 0.22/0.51 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 0.22/0.51 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 0.22/0.51 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.51 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.51 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.51 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 0.22/0.51 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 0.22/0.51 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 0.22/0.51 thf(func_def_103, type, n_is: $i > $i > $o).
% 0.22/0.51 thf(func_def_104, type, nis: $i > $i > $o).
% 0.22/0.51 thf(func_def_105, type, n_in: $i > $i > $o).
% 0.22/0.51 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 0.22/0.51 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 0.22/0.51 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 0.22/0.51 thf(func_def_110, type, cond1: $i > $o).
% 0.22/0.51 thf(func_def_111, type, cond2: $i > $o).
% 0.22/0.51 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 0.22/0.51 thf(func_def_113, type, d_22_prop1: $i > $o).
% 0.22/0.51 thf(func_def_114, type, d_23_prop1: $i > $o).
% 0.22/0.51 thf(func_def_115, type, d_24_prop1: $i > $o).
% 0.22/0.51 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 0.22/0.51 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_118, type, prop4: $i > $o).
% 0.22/0.51 thf(func_def_119, type, d_24_g: $i > $i).
% 0.22/0.51 thf(func_def_120, type, plus: $i > $i).
% 0.22/0.51 thf(func_def_121, type, n_pl: $i > $i > $i).
% 0.22/0.51 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 0.22/0.51 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 0.22/0.51 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 0.22/0.51 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 0.22/0.51 thf(func_def_128, type, iii: $i > $i > $o).
% 0.22/0.51 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 0.22/0.51 thf(func_def_130, type, moreis: $i > $i > $o).
% 0.22/0.51 thf(func_def_131, type, lessis: $i > $i > $o).
% 0.22/0.51 thf(func_def_153, type, sK2: ($i > $i) > ($i > $i) > $i > $i).
% 0.22/0.51 thf(func_def_154, type, sK3: ($i > $o) > $i).
% 0.22/0.51 thf(func_def_155, type, ph4: !>[X0: $tType]:(X0)).
% 0.22/0.51 thf(f1267,plain,(
% 0.22/0.51 $false),
% 0.22/0.51 inference(trivial_inequality_removal,[],[f1265])).
% 0.22/0.51 thf(f1265,plain,(
% 0.22/0.51 ($true = $false)),
% 0.22/0.51 inference(backward_demodulation,[],[f888,f1261])).
% 0.22/0.51 thf(f1261,plain,(
% 0.22/0.51 ((in @ sK1 @ nat) = $false)),
% 0.22/0.51 inference(trivial_inequality_removal,[],[f1257])).
% 0.22/0.51 thf(f1257,plain,(
% 0.22/0.51 ($true = $false) | ((in @ sK1 @ nat) = $false)),
% 0.22/0.51 inference(superposition,[],[f887,f1251])).
% 0.22/0.51 thf(f1251,plain,(
% 0.22/0.51 ( ! [X0 : $i] : (((d_29_ii @ (ordsucc @ X0) @ X0) = $true) | ((in @ X0 @ nat) = $false)) )),
% 0.22/0.51 inference(trivial_inequality_removal,[],[f1250])).
% 0.22/0.51 thf(f1250,plain,(
% 0.22/0.51 ( ! [X0 : $i] : (($true = $false) | ((d_29_ii @ (ordsucc @ X0) @ X0) = $true) | ((in @ X0 @ nat) = $false)) )),
% 0.22/0.51 inference(forward_demodulation,[],[f1249,f725])).
% 0.22/0.51 thf(f725,plain,(
% 0.22/0.51 ($true = (in @ (ordsucc @ emptyset) @ nat))),
% 0.22/0.51 inference(beta_eta_normalization,[],[f673])).
% 0.22/0.51 thf(f673,plain,(
% 0.22/0.51 (((^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))) @ (ordsucc @ emptyset) @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $true)),
% 0.22/0.51 inference(definition_unfolding,[],[f621,f642,f623])).
% 0.22/0.51 thf(f623,plain,(
% 0.22/0.51 ((ordsucc @ emptyset) = n_1)),
% 0.22/0.51 inference(cnf_transformation,[],[f566])).
% 0.22/0.51 thf(f566,plain,(
% 0.22/0.51 ((ordsucc @ emptyset) = n_1)),
% 0.22/0.51 inference(fool_elimination,[],[f163])).
% 0.22/0.51 thf(f163,axiom,(
% 0.22/0.51 ((ordsucc @ emptyset) = n_1)),
% 0.22/0.51 file('/export/starexec/sandbox2/tmp/tmp.Lq1I8i97WT/Vampire---4.8_22271',def_n_1)).
% 0.22/0.51 thf(f642,plain,(
% 0.22/0.51 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 0.22/0.51 inference(cnf_transformation,[],[f562])).
% 0.22/0.51 thf(f562,plain,(
% 0.22/0.51 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 0.22/0.51 inference(fool_elimination,[],[f1])).
% 0.22/0.51 thf(f1,axiom,(
% 0.22/0.51 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 0.22/0.51 file('/export/starexec/sandbox2/tmp/tmp.Lq1I8i97WT/Vampire---4.8_22271',def_is_of)).
% 0.22/0.51 thf(f621,plain,(
% 0.22/0.51 ($true = (is_of @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat))))),
% 0.22/0.51 inference(cnf_transformation,[],[f478])).
% 0.22/0.51 thf(f478,plain,(
% 0.22/0.51 ($true = (is_of @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat))))),
% 0.22/0.51 inference(fool_elimination,[],[f477])).
% 0.22/0.51 thf(f477,plain,(
% 0.22/0.51 (is_of @ n_1 @ (^[X0 : $i] : (in @ X0 @ nat)))),
% 0.22/0.51 inference(rectify,[],[f164])).
% 0.22/0.51 thf(f164,axiom,(
% 0.22/0.51 (is_of @ n_1 @ (^[X0 : $i] : (in @ X0 @ nat)))),
% 0.22/0.51 file('/export/starexec/sandbox2/tmp/tmp.Lq1I8i97WT/Vampire---4.8_22271',n_1_p)).
% 0.22/0.51 thf(f1249,plain,(
% 0.22/0.51 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false = (in @ (ordsucc @ emptyset) @ nat)) | ((d_29_ii @ (ordsucc @ X0) @ X0) = $true)) )),
% 0.22/0.51 inference(duplicate_literal_removal,[],[f1236])).
% 0.22/0.51 thf(f1236,plain,(
% 0.22/0.51 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ($false = (in @ (ordsucc @ emptyset) @ nat)) | ((d_29_ii @ (ordsucc @ X0) @ X0) = $true)) )),
% 0.22/0.51 inference(superposition,[],[f867,f743])).
% 0.22/0.51 thf(f743,plain,(
% 0.22/0.51 ( ! [X1 : $i] : (((ordsucc @ X1) = (n_pl @ X1 @ (ordsucc @ emptyset))) | ((in @ X1 @ nat) = $false)) )),
% 0.22/0.51 inference(equality_proxy_clausification,[],[f742])).
% 0.22/0.51 thf(f742,plain,(
% 0.22/0.51 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((n_pl @ X1 @ (ordsucc @ emptyset)) = (ordsucc @ X1)))) )),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f741])).
% 0.22/0.51 thf(f741,plain,(
% 0.22/0.51 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => ((n_pl @ X1 @ (ordsucc @ emptyset)) = (ordsucc @ X1))))) )),
% 0.22/0.51 inference(beta_eta_normalization,[],[f740])).
% 0.22/0.51 thf(f740,plain,(
% 0.22/0.51 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ Y0 @ (ordsucc @ emptyset)) = (ordsucc @ Y0)))) @ X1))) )),
% 0.22/0.51 inference(pi_clausification,[],[f722])).
% 0.22/0.51 thf(f722,plain,(
% 0.22/0.51 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ Y0 @ (ordsucc @ emptyset)) = (ordsucc @ Y0))))))),
% 0.22/0.51 inference(beta_eta_normalization,[],[f678])).
% 0.22/0.51 thf(f678,plain,(
% 0.22/0.51 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))))) @ nat @ (n_pl @ Y0 @ (ordsucc @ emptyset)) @ (ordsucc @ Y0)))))),
% 0.22/0.51 inference(definition_unfolding,[],[f631,f660,f658,f623])).
% 0.22/0.51 thf(f658,plain,(
% 0.22/0.51 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 0.22/0.51 inference(definition_unfolding,[],[f610,f612])).
% 0.22/0.51 thf(f612,plain,(
% 0.22/0.51 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 0.22/0.51 inference(cnf_transformation,[],[f264])).
% 0.22/0.51 thf(f264,plain,(
% 0.22/0.51 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 0.22/0.51 inference(fool_elimination,[],[f263])).
% 0.22/0.51 thf(f263,plain,(
% 0.22/0.51 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))),
% 0.22/0.51 inference(rectify,[],[f91])).
% 0.22/0.51 thf(f91,axiom,(
% 0.22/0.51 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))),
% 0.22/0.51 file('/export/starexec/sandbox2/tmp/tmp.Lq1I8i97WT/Vampire---4.8_22271',def_e_is)).
% 0.22/0.51 thf(f610,plain,(
% 0.22/0.51 (n_is = (e_is @ nat))),
% 0.22/0.51 inference(cnf_transformation,[],[f405])).
% 0.22/0.51 thf(f405,plain,(
% 0.22/0.51 (n_is = (e_is @ nat))),
% 0.22/0.51 inference(fool_elimination,[],[f157])).
% 0.22/0.51 thf(f157,axiom,(
% 0.22/0.51 (n_is = (e_is @ nat))),
% 0.22/0.51 file('/export/starexec/sandbox2/tmp/tmp.Lq1I8i97WT/Vampire---4.8_22271',def_n_is)).
% 0.22/0.51 thf(f660,plain,(
% 0.22/0.51 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.22/0.51 inference(definition_unfolding,[],[f640,f642])).
% 0.22/0.51 thf(f640,plain,(
% 0.22/0.51 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.22/0.51 inference(cnf_transformation,[],[f496])).
% 0.22/0.51 thf(f496,plain,(
% 0.22/0.51 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.22/0.51 inference(fool_elimination,[],[f495])).
% 0.22/0.51 thf(f495,plain,(
% 0.22/0.51 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 0.22/0.51 inference(rectify,[],[f2])).
% 0.22/0.51 thf(f2,axiom,(
% 0.22/0.51 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 0.22/0.51 file('/export/starexec/sandbox2/tmp/tmp.Lq1I8i97WT/Vampire---4.8_22271',def_all_of)).
% 0.22/0.51 thf(f631,plain,(
% 0.22/0.51 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (n_pl @ Y0 @ n_1) @ (ordsucc @ Y0)))))),
% 0.22/0.51 inference(cnf_transformation,[],[f518])).
% 0.22/0.51 thf(f518,plain,(
% 0.22/0.51 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (n_pl @ Y0 @ n_1) @ (ordsucc @ Y0)))))),
% 0.22/0.51 inference(fool_elimination,[],[f517])).
% 0.22/0.51 thf(f517,plain,(
% 0.22/0.51 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (n_is @ (n_pl @ X1 @ n_1) @ (ordsucc @ X1))))),
% 0.22/0.51 inference(rectify,[],[f186])).
% 0.22/0.51 thf(f186,axiom,(
% 0.22/0.51 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (n_pl @ X0 @ n_1) @ (ordsucc @ X0))))),
% 0.22/0.51 file('/export/starexec/sandbox2/tmp/tmp.Lq1I8i97WT/Vampire---4.8_22271',satz4a)).
% 0.22/0.51 thf(f867,plain,(
% 0.22/0.51 ( ! [X2 : $i,X1 : $i] : (($true = (d_29_ii @ (n_pl @ X1 @ X2) @ X1)) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f866])).
% 0.22/0.51 thf(f866,plain,(
% 0.22/0.51 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => (d_29_ii @ (n_pl @ X1 @ X2) @ X1))) | ((in @ X1 @ nat) = $false)) )),
% 0.22/0.51 inference(beta_eta_normalization,[],[f865])).
% 0.22/0.51 thf(f865,plain,(
% 0.22/0.51 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (n_pl @ X1 @ Y0) @ X1))) @ X2)) | ((in @ X1 @ nat) = $false)) )),
% 0.22/0.51 inference(pi_clausification,[],[f864])).
% 0.22/0.51 thf(f864,plain,(
% 0.22/0.51 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (n_pl @ X1 @ Y0) @ X1))))) | ((in @ X1 @ nat) = $false)) )),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f863])).
% 0.22/0.51 thf(f863,plain,(
% 0.22/0.51 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (n_pl @ X1 @ Y0) @ X1))))))) )),
% 0.22/0.51 inference(beta_eta_normalization,[],[f862])).
% 0.22/0.51 thf(f862,plain,(
% 0.22/0.51 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (d_29_ii @ (n_pl @ Y0 @ Y1) @ Y0)))))) @ X1))) )),
% 0.22/0.51 inference(pi_clausification,[],[f707])).
% 0.22/0.51 thf(f707,plain,(
% 0.22/0.51 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (d_29_ii @ (n_pl @ Y0 @ Y1) @ Y0))))))))),
% 0.22/0.51 inference(beta_eta_normalization,[],[f666])).
% 0.22/0.51 thf(f666,plain,(
% 0.22/0.51 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (d_29_ii @ (n_pl @ Y0 @ Y1) @ Y0))))))),
% 0.22/0.51 inference(definition_unfolding,[],[f614,f660,f660])).
% 0.22/0.51 thf(f614,plain,(
% 0.22/0.51 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (d_29_ii @ (n_pl @ Y0 @ Y1) @ Y0))))))),
% 0.22/0.51 inference(cnf_transformation,[],[f426])).
% 0.22/0.51 thf(f426,plain,(
% 0.22/0.51 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (d_29_ii @ (n_pl @ Y0 @ Y1) @ Y0))))))),
% 0.22/0.51 inference(fool_elimination,[],[f425])).
% 0.22/0.51 thf(f425,plain,(
% 0.22/0.51 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (d_29_ii @ (n_pl @ X1 @ X3) @ X1)))))),
% 0.22/0.51 inference(rectify,[],[f234])).
% 0.22/0.51 thf(f234,axiom,(
% 0.22/0.51 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (d_29_ii @ (n_pl @ X0 @ X1) @ X0)))))),
% 0.22/0.51 file('/export/starexec/sandbox2/tmp/tmp.Lq1I8i97WT/Vampire---4.8_22271',satz18)).
% 0.22/0.51 thf(f887,plain,(
% 0.22/0.51 ((d_29_ii @ (ordsucc @ sK1) @ sK1) = $false)),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f886])).
% 0.22/0.51 thf(f886,plain,(
% 0.22/0.51 ($false = ((in @ sK1 @ nat) => (d_29_ii @ (ordsucc @ sK1) @ sK1)))),
% 0.22/0.51 inference(beta_eta_normalization,[],[f885])).
% 0.22/0.51 thf(f885,plain,(
% 0.22/0.51 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (ordsucc @ Y0) @ Y0))) @ sK1) = $false)),
% 0.22/0.51 inference(sigma_clausification,[],[f884])).
% 0.22/0.51 thf(f884,plain,(
% 0.22/0.51 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (ordsucc @ Y0) @ Y0)))))),
% 0.22/0.51 inference(not_proxy_clausification,[],[f706])).
% 0.22/0.51 thf(f706,plain,(
% 0.22/0.51 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (ordsucc @ Y0) @ Y0))))) = $true)),
% 0.22/0.51 inference(beta_eta_normalization,[],[f683])).
% 0.22/0.51 thf(f683,plain,(
% 0.22/0.51 ($true = (~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (d_29_ii @ (ordsucc @ Y0) @ Y0)))))),
% 0.22/0.51 inference(definition_unfolding,[],[f646,f660])).
% 0.22/0.51 thf(f646,plain,(
% 0.22/0.51 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (d_29_ii @ (ordsucc @ Y0) @ Y0)))))),
% 0.22/0.51 inference(cnf_transformation,[],[f464])).
% 0.22/0.51 thf(f464,plain,(
% 0.22/0.51 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (d_29_ii @ (ordsucc @ Y0) @ Y0)))))),
% 0.22/0.51 inference(fool_elimination,[],[f463])).
% 0.22/0.51 thf(f463,plain,(
% 0.22/0.51 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (d_29_ii @ (ordsucc @ X1) @ X1)))),
% 0.22/0.51 inference(rectify,[],[f237])).
% 0.22/0.51 thf(f237,negated_conjecture,(
% 0.22/0.51 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (d_29_ii @ (ordsucc @ X0) @ X0)))),
% 0.22/0.51 inference(negated_conjecture,[],[f236])).
% 0.22/0.51 thf(f236,conjecture,(
% 0.22/0.51 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (d_29_ii @ (ordsucc @ X0) @ X0)))),
% 0.22/0.51 file('/export/starexec/sandbox2/tmp/tmp.Lq1I8i97WT/Vampire---4.8_22271',satz18b)).
% 0.22/0.51 thf(f888,plain,(
% 0.22/0.51 ($true = (in @ sK1 @ nat))),
% 0.22/0.51 inference(binary_proxy_clausification,[],[f886])).
% 0.22/0.51 % SZS output end Proof for Vampire---4
% 0.22/0.51 % (22420)------------------------------
% 0.22/0.51 % (22420)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (22420)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (22420)Memory used [KB]: 6780
% 0.22/0.51 % (22420)Time elapsed: 0.046 s
% 0.22/0.51 % (22420)Instructions burned: 145 (million)
% 0.22/0.51 % (22420)------------------------------
% 0.22/0.51 % (22420)------------------------------
% 0.22/0.51 % (22392)Success in time 0.143 s
% 0.22/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------