TSTP Solution File: NUM656^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM656^4 : 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 : n032.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 08:13:58 EDT 2024
% Result : Theorem 7.33s 1.30s
% Output : Refutation 7.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : NUM656^4 : TPTP v8.1.2. Released v7.1.0.
% 0.05/0.09 % 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 : n032.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
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Fri May 3 15:10:08 EDT 2024
% 0.10/0.28 % CPUTime :
% 0.10/0.28 This is a TH0_THM_EQU_NAR problem
% 0.10/0.28 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.ODRhIBJfbE/Vampire---4.8_10332
% 0.10/0.30 % (10557)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)
% 0.10/0.30 % (10555)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)
% 0.10/0.30 % (10558)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)
% 0.10/0.30 % (10560)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)
% 0.10/0.30 % (10559)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.10/0.30 % (10563)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)
% 0.10/0.30 % (10557)Instruction limit reached!
% 0.10/0.30 % (10557)------------------------------
% 0.10/0.30 % (10557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.30 % (10557)Termination reason: Unknown
% 0.10/0.30 % (10557)Termination phase: shuffling
% 0.10/0.30
% 0.10/0.30 % (10557)Memory used [KB]: 1279
% 0.10/0.30 % (10557)Time elapsed: 0.003 s
% 0.10/0.30 % (10557)Instructions burned: 4 (million)
% 0.10/0.30 % (10557)------------------------------
% 0.10/0.30 % (10557)------------------------------
% 0.10/0.30 % (10559)Instruction limit reached!
% 0.10/0.30 % (10559)------------------------------
% 0.10/0.30 % (10559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.30 % (10559)Termination reason: Unknown
% 0.10/0.30 % (10559)Termination phase: shuffling
% 0.10/0.30
% 0.10/0.30 % (10559)Memory used [KB]: 1279
% 0.10/0.30 % (10559)Time elapsed: 0.002 s
% 0.10/0.30 % (10560)Instruction limit reached!
% 0.10/0.30 % (10560)------------------------------
% 0.10/0.30 % (10560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.30 % (10560)Termination reason: Unknown
% 0.10/0.30 % (10560)Termination phase: shuffling
% 0.10/0.30
% 0.10/0.30 % (10560)Memory used [KB]: 1279
% 0.10/0.30 % (10560)Time elapsed: 0.003 s
% 0.10/0.30 % (10560)Instructions burned: 3 (million)
% 0.10/0.30 % (10560)------------------------------
% 0.10/0.30 % (10560)------------------------------
% 0.10/0.30 % (10559)Instructions burned: 3 (million)
% 0.10/0.30 % (10559)------------------------------
% 0.10/0.30 % (10559)------------------------------
% 0.10/0.30 % (10561)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)
% 0.10/0.31 % (10563)Instruction limit reached!
% 0.10/0.31 % (10563)------------------------------
% 0.10/0.31 % (10563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.10/0.31 % (10563)Termination reason: Unknown
% 0.10/0.31 % (10563)Termination phase: shuffling
% 0.10/0.31
% 0.10/0.31 % (10563)Memory used [KB]: 1279
% 0.10/0.31 % (10563)Time elapsed: 0.003 s
% 0.10/0.31 % (10563)Instructions burned: 4 (million)
% 0.10/0.31 % (10563)------------------------------
% 0.10/0.31 % (10563)------------------------------
% 0.10/0.31 % (10562)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.13/0.31 % (10558)Instruction limit reached!
% 0.13/0.31 % (10558)------------------------------
% 0.13/0.31 % (10558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31 % (10558)Termination reason: Unknown
% 0.13/0.31 % (10558)Termination phase: Property scanning
% 0.13/0.31
% 0.13/0.31 % (10558)Memory used [KB]: 1535
% 0.13/0.31 % (10558)Time elapsed: 0.011 s
% 0.13/0.31 % (10558)Instructions burned: 30 (million)
% 0.13/0.31 % (10558)------------------------------
% 0.13/0.31 % (10558)------------------------------
% 0.13/0.31 % (10568)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)
% 0.13/0.31 % (10569)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)
% 0.13/0.31 % (10562)Instruction limit reached!
% 0.13/0.31 % (10562)------------------------------
% 0.13/0.31 % (10562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31 % (10562)Termination reason: Unknown
% 0.13/0.31 % (10562)Termination phase: shuffling
% 0.13/0.31
% 0.13/0.31 % (10562)Memory used [KB]: 1535
% 0.13/0.31 % (10562)Time elapsed: 0.009 s
% 0.13/0.31 % (10562)Instructions burned: 20 (million)
% 0.13/0.31 % (10562)------------------------------
% 0.13/0.31 % (10562)------------------------------
% 0.13/0.31 % (10570)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)
% 0.13/0.32 % (10570)Instruction limit reached!
% 0.13/0.32 % (10570)------------------------------
% 0.13/0.32 % (10570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (10570)Termination reason: Unknown
% 0.13/0.32 % (10570)Termination phase: shuffling
% 0.13/0.32
% 0.13/0.32 % (10570)Memory used [KB]: 1279
% 0.13/0.32 % (10570)Time elapsed: 0.003 s
% 0.13/0.32 % (10570)Instructions burned: 5 (million)
% 0.13/0.32 % (10570)------------------------------
% 0.13/0.32 % (10570)------------------------------
% 0.13/0.32 % (10561)Refutation not found, incomplete strategy
% 0.13/0.32 % (10561)------------------------------
% 0.13/0.32 % (10561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (10561)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.32
% 0.13/0.32
% 0.13/0.32 % (10561)Memory used [KB]: 6140
% 0.13/0.32 % (10561)Time elapsed: 0.013 s
% 0.13/0.32 % (10561)Instructions burned: 39 (million)
% 0.13/0.32 % (10561)------------------------------
% 0.13/0.32 % (10561)------------------------------
% 0.13/0.32 % (10569)Instruction limit reached!
% 0.13/0.32 % (10569)------------------------------
% 0.13/0.32 % (10569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (10569)Termination reason: Unknown
% 0.13/0.32 % (10569)Termination phase: shuffling
% 0.13/0.32
% 0.13/0.32 % (10569)Memory used [KB]: 1535
% 0.13/0.32 % (10569)Time elapsed: 0.006 s
% 0.13/0.32 % (10569)Instructions burned: 15 (million)
% 0.13/0.32 % (10569)------------------------------
% 0.13/0.32 % (10569)------------------------------
% 0.13/0.32 % (10575)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)
% 0.13/0.32 % (10576)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)
% 0.13/0.32 % (10575)Instruction limit reached!
% 0.13/0.32 % (10575)------------------------------
% 0.13/0.32 % (10575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (10575)Termination reason: Unknown
% 0.13/0.32 % (10575)Termination phase: shuffling
% 0.13/0.32
% 0.13/0.32 % (10575)Memory used [KB]: 1407
% 0.13/0.32 % (10575)Time elapsed: 0.004 s
% 0.13/0.32 % (10575)Instructions burned: 9 (million)
% 0.13/0.32 % (10575)------------------------------
% 0.13/0.32 % (10575)------------------------------
% 0.13/0.32 % (10568)Instruction limit reached!
% 0.13/0.32 % (10568)------------------------------
% 0.13/0.32 % (10568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (10568)Termination reason: Unknown
% 0.13/0.32 % (10568)Termination phase: Unused predicate definition removal
% 0.13/0.32
% 0.13/0.32 % (10568)Memory used [KB]: 1663
% 0.13/0.32 % (10568)Time elapsed: 0.012 s
% 0.13/0.32 % (10568)Instructions burned: 38 (million)
% 0.13/0.32 % (10568)------------------------------
% 0.13/0.32 % (10568)------------------------------
% 0.13/0.32 % (10577)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)
% 0.13/0.33 % (10577)Instruction limit reached!
% 0.13/0.33 % (10577)------------------------------
% 0.13/0.33 % (10577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (10577)Termination reason: Unknown
% 0.13/0.33 % (10577)Termination phase: shuffling
% 0.13/0.33
% 0.13/0.33 % (10577)Memory used [KB]: 1279
% 0.13/0.33 % (10577)Time elapsed: 0.002 s
% 0.13/0.33 % (10577)Instructions burned: 3 (million)
% 0.13/0.33 % (10577)------------------------------
% 0.13/0.33 % (10577)------------------------------
% 0.13/0.33 % (10578)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)
% 0.13/0.33 % (10579)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)
% 0.13/0.33 % (10574)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)
% 0.13/0.33 % (10578)Instruction limit reached!
% 0.13/0.33 % (10578)------------------------------
% 0.13/0.33 % (10578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (10578)Termination reason: Unknown
% 0.13/0.33 % (10578)Termination phase: shuffling
% 0.13/0.33
% 0.13/0.33 % (10578)Memory used [KB]: 1279
% 0.13/0.33 % (10578)Time elapsed: 0.002 s
% 0.13/0.33 % (10578)Instructions burned: 3 (million)
% 0.13/0.33 % (10578)------------------------------
% 0.13/0.33 % (10578)------------------------------
% 0.13/0.33 % (10576)Instruction limit reached!
% 0.13/0.33 % (10576)------------------------------
% 0.13/0.33 % (10576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (10576)Termination reason: Unknown
% 0.13/0.33 % (10576)Termination phase: shuffling
% 0.13/0.33
% 0.13/0.33 % (10576)Memory used [KB]: 1535
% 0.13/0.33 % (10576)Time elapsed: 0.007 s
% 0.13/0.33 % (10576)Instructions burned: 18 (million)
% 0.13/0.33 % (10576)------------------------------
% 0.13/0.33 % (10576)------------------------------
% 0.13/0.33 % (10579)Instruction limit reached!
% 0.13/0.33 % (10579)------------------------------
% 0.13/0.33 % (10579)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (10579)Termination reason: Unknown
% 0.13/0.33 % (10579)Termination phase: shuffling
% 0.13/0.33
% 0.13/0.33 % (10579)Memory used [KB]: 1407
% 0.13/0.33 % (10579)Time elapsed: 0.004 s
% 0.13/0.33 % (10579)Instructions burned: 9 (million)
% 0.13/0.33 % (10579)------------------------------
% 0.13/0.33 % (10579)------------------------------
% 0.13/0.33 % (10580)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)
% 0.13/0.33 % (10581)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)
% 0.13/0.33 % (10580)Instruction limit reached!
% 0.13/0.33 % (10580)------------------------------
% 0.13/0.33 % (10580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (10580)Termination reason: Unknown
% 0.13/0.33 % (10580)Termination phase: shuffling
% 0.13/0.33
% 0.13/0.33 % (10580)Memory used [KB]: 1279
% 0.13/0.33 % (10580)Time elapsed: 0.002 s
% 0.13/0.33 % (10580)Instructions burned: 3 (million)
% 0.13/0.33 % (10580)------------------------------
% 0.13/0.33 % (10580)------------------------------
% 0.13/0.33 % (10582)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)
% 0.13/0.33 % (10581)Instruction limit reached!
% 0.13/0.33 % (10581)------------------------------
% 0.13/0.33 % (10581)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (10581)Termination reason: Unknown
% 0.13/0.33 % (10581)Termination phase: shuffling
% 0.13/0.33
% 0.13/0.33 % (10581)Memory used [KB]: 1279
% 0.13/0.33 % (10581)Time elapsed: 0.003 s
% 0.13/0.33 % (10581)Instructions burned: 6 (million)
% 0.13/0.33 % (10581)------------------------------
% 0.13/0.33 % (10581)------------------------------
% 0.13/0.34 % (10583)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)
% 0.13/0.34 % (10584)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.13/0.34 % (10585)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)
% 0.13/0.34 % (10582)Instruction limit reached!
% 0.13/0.34 % (10582)------------------------------
% 0.13/0.34 % (10582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34 % (10584)Instruction limit reached!
% 0.13/0.34 % (10584)------------------------------
% 0.13/0.34 % (10584)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34 % (10584)Termination reason: Unknown
% 0.13/0.34 % (10584)Termination phase: shuffling
% 0.13/0.34
% 0.13/0.34 % (10584)Memory used [KB]: 1279
% 0.13/0.34 % (10584)Time elapsed: 0.003 s
% 0.13/0.34 % (10584)Instructions burned: 6 (million)
% 0.13/0.34 % (10584)------------------------------
% 0.13/0.34 % (10584)------------------------------
% 0.13/0.34 % (10582)Termination reason: Unknown
% 0.13/0.34 % (10582)Termination phase: shuffling
% 0.13/0.34
% 0.13/0.34 % (10582)Memory used [KB]: 1535
% 0.13/0.34 % (10582)Time elapsed: 0.007 s
% 0.13/0.34 % (10582)Instructions burned: 19 (million)
% 0.13/0.34 % (10582)------------------------------
% 0.13/0.34 % (10582)------------------------------
% 0.13/0.34 % (10555)Instruction limit reached!
% 0.13/0.34 % (10555)------------------------------
% 0.13/0.34 % (10555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34 % (10555)Termination reason: Unknown
% 0.13/0.34 % (10555)Termination phase: Function definition elimination
% 0.13/0.34
% 0.13/0.34 % (10555)Memory used [KB]: 1918
% 0.13/0.34 % (10555)Time elapsed: 0.038 s
% 0.13/0.34 % (10555)Instructions burned: 188 (million)
% 0.13/0.34 % (10555)------------------------------
% 0.13/0.34 % (10555)------------------------------
% 0.13/0.34 % (10586)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)
% 0.13/0.34 % (10587)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.13/0.34 % (10587)Instruction limit reached!
% 0.13/0.34 % (10587)------------------------------
% 0.13/0.34 % (10587)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34 % (10587)Termination reason: Unknown
% 0.13/0.34 % (10587)Termination phase: shuffling
% 0.13/0.34
% 0.13/0.34 % (10587)Memory used [KB]: 1407
% 0.13/0.34 % (10587)Time elapsed: 0.003 s
% 0.13/0.34 % (10587)Instructions burned: 6 (million)
% 0.13/0.34 % (10587)------------------------------
% 0.13/0.34 % (10587)------------------------------
% 0.13/0.35 % (10588)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)
% 0.13/0.35 % (10589)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)
% 0.13/0.35 % (10586)Instruction limit reached!
% 0.13/0.35 % (10586)------------------------------
% 0.13/0.35 % (10586)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35 % (10586)Termination reason: Unknown
% 0.13/0.35 % (10586)Termination phase: shuffling
% 0.13/0.35
% 0.13/0.35 % (10586)Memory used [KB]: 1535
% 0.13/0.35 % (10586)Time elapsed: 0.008 s
% 0.13/0.35 % (10586)Instructions burned: 22 (million)
% 0.13/0.35 % (10586)------------------------------
% 0.13/0.35 % (10586)------------------------------
% 0.13/0.35 % (10590)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)
% 0.13/0.35 % (10588)Instruction limit reached!
% 0.13/0.35 % (10588)------------------------------
% 0.13/0.35 % (10588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35 % (10588)Termination reason: Unknown
% 0.13/0.35 % (10588)Termination phase: shuffling
% 0.13/0.35
% 0.13/0.35 % (10588)Memory used [KB]: 1407
% 0.13/0.35 % (10588)Time elapsed: 0.003 s
% 0.13/0.35 % (10588)Instructions burned: 7 (million)
% 0.13/0.35 % (10588)------------------------------
% 0.13/0.35 % (10588)------------------------------
% 0.13/0.35 % (10591)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)
% 0.13/0.36 % (10592)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)
% 0.13/0.36 % (10593)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.13/0.36 % (10591)Instruction limit reached!
% 0.13/0.36 % (10591)------------------------------
% 0.13/0.36 % (10591)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (10591)Termination reason: Unknown
% 0.13/0.36 % (10591)Termination phase: shuffling
% 0.13/0.36
% 0.13/0.36 % (10591)Memory used [KB]: 1535
% 0.13/0.36 % (10591)Time elapsed: 0.007 s
% 0.13/0.36 % (10591)Instructions burned: 20 (million)
% 0.13/0.36 % (10591)------------------------------
% 0.13/0.36 % (10591)------------------------------
% 0.13/0.36 % (10585)Refutation not found, incomplete strategy
% 0.13/0.36 % (10585)------------------------------
% 0.13/0.36 % (10585)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (10585)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % (10585)Memory used [KB]: 6396
% 0.13/0.36 % (10585)Time elapsed: 0.023 s
% 0.13/0.36 % (10585)Instructions burned: 73 (million)
% 0.13/0.36 % (10585)------------------------------
% 0.13/0.36 % (10585)------------------------------
% 0.13/0.36 % (10593)Instruction limit reached!
% 0.13/0.36 % (10593)------------------------------
% 0.13/0.36 % (10593)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (10593)Termination reason: Unknown
% 0.13/0.36 % (10593)Termination phase: shuffling
% 0.13/0.36
% 0.13/0.36 % (10593)Memory used [KB]: 1535
% 0.13/0.36 % (10593)Time elapsed: 0.007 s
% 0.13/0.36 % (10593)Instructions burned: 19 (million)
% 0.13/0.36 % (10593)------------------------------
% 0.13/0.36 % (10593)------------------------------
% 0.13/0.37 % (10594)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.37 % (10594)Instruction limit reached!
% 0.13/0.37 % (10594)------------------------------
% 0.13/0.37 % (10594)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (10594)Termination reason: Unknown
% 0.13/0.37 % (10594)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (10594)Memory used [KB]: 1279
% 0.13/0.37 % (10594)Time elapsed: 0.002 s
% 0.13/0.37 % (10594)Instructions burned: 3 (million)
% 0.13/0.37 % (10594)------------------------------
% 0.13/0.37 % (10594)------------------------------
% 0.13/0.37 % (10595)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.13/0.37 % (10596)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 (2999ds/127Mi)
% 0.13/0.38 % (10597)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2999ds/100Mi)
% 0.13/0.38 % (10595)Instruction limit reached!
% 0.13/0.38 % (10595)------------------------------
% 0.13/0.38 % (10595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (10595)Termination reason: Unknown
% 0.13/0.38 % (10595)Termination phase: Property scanning
% 0.13/0.38
% 0.13/0.38 % (10595)Memory used [KB]: 1535
% 0.13/0.38 % (10595)Time elapsed: 0.010 s
% 0.13/0.38 % (10595)Instructions burned: 32 (million)
% 0.13/0.38 % (10595)------------------------------
% 0.13/0.38 % (10595)------------------------------
% 0.13/0.39 % (10598)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.39 % (10598)Instruction limit reached!
% 0.13/0.39 % (10598)------------------------------
% 0.13/0.39 % (10598)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (10598)Termination reason: Unknown
% 0.13/0.39 % (10598)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (10598)Memory used [KB]: 1279
% 0.13/0.39 % (10598)Time elapsed: 0.003 s
% 0.13/0.39 % (10598)Instructions burned: 6 (million)
% 0.13/0.39 % (10598)------------------------------
% 0.13/0.39 % (10598)------------------------------
% 0.13/0.40 % (10599)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2999ds/20Mi)
% 0.13/0.40 % (10597)Instruction limit reached!
% 0.13/0.40 % (10597)------------------------------
% 0.13/0.40 % (10597)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (10597)Termination reason: Unknown
% 0.13/0.40 % (10597)Termination phase: Function definition elimination
% 0.13/0.40
% 0.13/0.40 % (10597)Memory used [KB]: 1918
% 0.13/0.40 % (10597)Time elapsed: 0.024 s
% 0.13/0.40 % (10597)Instructions burned: 105 (million)
% 0.13/0.40 % (10597)------------------------------
% 0.13/0.40 % (10597)------------------------------
% 0.13/0.40 % (10599)Instruction limit reached!
% 0.13/0.40 % (10599)------------------------------
% 0.13/0.40 % (10599)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (10599)Termination reason: Unknown
% 0.13/0.40 % (10599)Termination phase: shuffling
% 0.13/0.40
% 0.13/0.40 % (10599)Memory used [KB]: 1535
% 0.13/0.40 % (10599)Time elapsed: 0.007 s
% 0.13/0.40 % (10599)Instructions burned: 20 (million)
% 0.13/0.40 % (10599)------------------------------
% 0.13/0.40 % (10599)------------------------------
% 0.13/0.40 % (10596)Instruction limit reached!
% 0.13/0.40 % (10596)------------------------------
% 0.13/0.40 % (10596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (10596)Termination reason: Unknown
% 0.13/0.40 % (10596)Termination phase: Function definition elimination
% 0.13/0.40
% 0.13/0.40 % (10596)Memory used [KB]: 1791
% 0.13/0.40 % (10596)Time elapsed: 0.030 s
% 0.13/0.40 % (10596)Instructions burned: 131 (million)
% 0.13/0.40 % (10596)------------------------------
% 0.13/0.40 % (10596)------------------------------
% 0.13/0.41 % (10600)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 0.13/0.41 % (10601)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2998ds/107Mi)
% 0.13/0.41 % (10602)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 0.13/0.42 % (10602)Instruction limit reached!
% 0.13/0.42 % (10602)------------------------------
% 0.13/0.42 % (10602)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (10602)Termination reason: Unknown
% 0.13/0.42 % (10602)Termination phase: Property scanning
% 0.13/0.42
% 0.13/0.42 % (10602)Memory used [KB]: 1663
% 0.13/0.42 % (10602)Time elapsed: 0.014 s
% 0.13/0.42 % (10602)Instructions burned: 41 (million)
% 0.13/0.42 % (10602)------------------------------
% 0.13/0.42 % (10602)------------------------------
% 0.13/0.43 % (10589)Instruction limit reached!
% 0.13/0.43 % (10589)------------------------------
% 0.13/0.43 % (10589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.43 % (10589)Termination reason: Unknown
% 0.13/0.43 % (10589)Termination phase: Property scanning
% 0.13/0.43
% 0.13/0.43 % (10589)Memory used [KB]: 1918
% 0.13/0.43 % (10589)Time elapsed: 0.081 s
% 0.13/0.43 % (10589)Instructions burned: 381 (million)
% 0.13/0.43 % (10589)------------------------------
% 0.13/0.43 % (10589)------------------------------
% 0.13/0.43 % (10600)Instruction limit reached!
% 0.13/0.43 % (10600)------------------------------
% 0.13/0.43 % (10600)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.43 % (10600)Termination reason: Unknown
% 0.13/0.43 % (10600)Termination phase: Function definition elimination
% 0.13/0.43
% 0.13/0.43 % (10600)Memory used [KB]: 1791
% 0.13/0.43 % (10600)Time elapsed: 0.022 s
% 0.13/0.43 % (10600)Instructions burned: 92 (million)
% 0.13/0.43 % (10600)------------------------------
% 0.13/0.43 % (10600)------------------------------
% 0.13/0.43 % (10603)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (2998ds/448Mi)
% 0.13/0.44 % (10601)Instruction limit reached!
% 0.13/0.44 % (10601)------------------------------
% 0.13/0.44 % (10601)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.44 % (10601)Termination reason: Unknown
% 0.13/0.44 % (10601)Termination phase: Saturation
% 0.13/0.44
% 0.13/0.44 % (10601)Memory used [KB]: 6524
% 0.13/0.44 % (10601)Time elapsed: 0.029 s
% 0.13/0.44 % (10601)Instructions burned: 109 (million)
% 0.13/0.44 % (10601)------------------------------
% 0.13/0.44 % (10601)------------------------------
% 0.13/0.44 % (10604)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on Vampire---4 for (2998ds/46Mi)
% 0.13/0.44 % (10605)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (2998ds/98Mi)
% 0.13/0.45 % (10606)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on Vampire---4 for (2998ds/507Mi)
% 0.13/0.45 % (10604)Instruction limit reached!
% 0.13/0.45 % (10604)------------------------------
% 0.13/0.45 % (10604)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.45 % (10604)Termination reason: Unknown
% 0.13/0.45 % (10604)Termination phase: Property scanning
% 0.13/0.45
% 0.13/0.45 % (10604)Memory used [KB]: 1663
% 0.13/0.45 % (10604)Time elapsed: 0.015 s
% 0.13/0.45 % (10604)Instructions burned: 46 (million)
% 0.13/0.45 % (10604)------------------------------
% 0.13/0.45 % (10604)------------------------------
% 0.13/0.46 % (10607)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (2998ds/149Mi)
% 0.13/0.46 % (10605)Instruction limit reached!
% 0.13/0.46 % (10605)------------------------------
% 0.13/0.46 % (10605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.46 % (10605)Termination reason: Unknown
% 0.13/0.46 % (10605)Termination phase: Function definition elimination
% 0.13/0.46
% 0.13/0.46 % (10605)Memory used [KB]: 1918
% 0.13/0.46 % (10605)Time elapsed: 0.023 s
% 0.13/0.46 % (10605)Instructions burned: 100 (million)
% 0.13/0.46 % (10605)------------------------------
% 0.13/0.46 % (10605)------------------------------
% 0.13/0.47 % (10608)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 0.13/0.48 % (10608)Instruction limit reached!
% 0.13/0.48 % (10608)------------------------------
% 0.13/0.48 % (10608)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.48 % (10608)Termination reason: Unknown
% 0.13/0.48 % (10608)Termination phase: Property scanning
% 0.13/0.48
% 0.13/0.48 % (10608)Memory used [KB]: 1663
% 0.13/0.48 % (10608)Time elapsed: 0.013 s
% 0.13/0.48 % (10608)Instructions burned: 40 (million)
% 0.13/0.48 % (10608)------------------------------
% 0.13/0.48 % (10608)------------------------------
% 0.13/0.49 % (10607)Instruction limit reached!
% 0.13/0.49 % (10607)------------------------------
% 0.13/0.49 % (10607)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.49 % (10607)Termination reason: Unknown
% 0.13/0.49 % (10607)Termination phase: Function definition elimination
% 0.13/0.49
% 0.13/0.49 % (10607)Memory used [KB]: 1791
% 0.13/0.49 % (10607)Time elapsed: 0.030 s
% 0.13/0.49 % (10607)Instructions burned: 150 (million)
% 0.13/0.49 % (10607)------------------------------
% 0.13/0.49 % (10607)------------------------------
% 0.13/0.49 % (10609)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2998ds/6Mi)
% 0.13/0.49 % (10609)Instruction limit reached!
% 0.13/0.49 % (10609)------------------------------
% 0.13/0.49 % (10609)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.49 % (10609)Termination reason: Unknown
% 0.13/0.49 % (10609)Termination phase: shuffling
% 0.13/0.49
% 0.13/0.49 % (10609)Memory used [KB]: 1407
% 0.13/0.49 % (10609)Time elapsed: 0.003 s
% 0.13/0.49 % (10609)Instructions burned: 7 (million)
% 0.13/0.49 % (10609)------------------------------
% 0.13/0.49 % (10609)------------------------------
% 0.13/0.50 % (10610)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on Vampire---4 for (2998ds/1087Mi)
% 0.13/0.50 % (10611)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2998ds/47Mi)
% 0.13/0.51 % (10611)Instruction limit reached!
% 0.13/0.51 % (10611)------------------------------
% 0.13/0.51 % (10611)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.51 % (10611)Termination reason: Unknown
% 0.13/0.51 % (10611)Termination phase: Function definition elimination
% 0.13/0.51
% 0.13/0.51 % (10611)Memory used [KB]: 1663
% 0.13/0.51 % (10611)Time elapsed: 0.015 s
% 0.13/0.51 % (10611)Instructions burned: 48 (million)
% 0.13/0.51 % (10611)------------------------------
% 0.13/0.51 % (10611)------------------------------
% 0.13/0.52 % (10610)Refutation not found, incomplete strategy
% 0.13/0.52 % (10610)------------------------------
% 0.13/0.52 % (10610)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.52 % (10610)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.52
% 0.13/0.52
% 0.13/0.52 % (10610)Memory used [KB]: 6268
% 0.13/0.52 % (10610)Time elapsed: 0.020 s
% 0.13/0.52 % (10610)Instructions burned: 64 (million)
% 0.13/0.52 % (10610)------------------------------
% 0.13/0.52 % (10610)------------------------------
% 0.13/0.52 % (10612)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (2997ds/44Mi)
% 0.13/0.52 % (10613)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on Vampire---4 for (2997ds/432Mi)
% 0.13/0.53 % (10612)Instruction limit reached!
% 0.13/0.53 % (10612)------------------------------
% 0.13/0.53 % (10612)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.53 % (10612)Termination reason: Unknown
% 0.13/0.53 % (10612)Termination phase: Property scanning
% 0.13/0.53
% 0.13/0.53 % (10612)Memory used [KB]: 1663
% 0.13/0.53 % (10612)Time elapsed: 0.013 s
% 0.13/0.53 % (10612)Instructions burned: 47 (million)
% 0.13/0.53 % (10612)------------------------------
% 0.13/0.53 % (10612)------------------------------
% 0.13/0.54 % (10614)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2997ds/62Mi)
% 0.13/0.55 % (10606)Instruction limit reached!
% 0.13/0.55 % (10606)------------------------------
% 0.13/0.55 % (10606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.55 % (10606)Termination reason: Unknown
% 0.13/0.55 % (10606)Termination phase: Property scanning
% 0.13/0.55
% 0.13/0.55 % (10606)Memory used [KB]: 1918
% 0.13/0.55 % (10606)Time elapsed: 0.095 s
% 0.13/0.55 % (10606)Instructions burned: 509 (million)
% 0.13/0.55 % (10606)------------------------------
% 0.13/0.55 % (10606)------------------------------
% 2.03/0.56 % (10614)Instruction limit reached!
% 2.03/0.56 % (10614)------------------------------
% 2.03/0.56 % (10614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.56 % (10614)Termination reason: Unknown
% 2.03/0.56 % (10614)Termination phase: Function definition elimination
% 2.03/0.56
% 2.03/0.56 % (10614)Memory used [KB]: 1918
% 2.03/0.56 % (10614)Time elapsed: 0.017 s
% 2.03/0.56 % (10614)Instructions burned: 65 (million)
% 2.03/0.56 % (10614)------------------------------
% 2.03/0.56 % (10614)------------------------------
% 2.03/0.56 % (10615)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2997ds/31Mi)
% 2.16/0.56 % (10616)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2997ds/96Mi)
% 2.16/0.57 % (10603)Instruction limit reached!
% 2.16/0.57 % (10603)------------------------------
% 2.16/0.57 % (10603)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.57 % (10603)Termination reason: Unknown
% 2.16/0.57 % (10603)Termination phase: Saturation
% 2.16/0.57
% 2.16/0.57 % (10603)Memory used [KB]: 7547
% 2.16/0.57 % (10603)Time elapsed: 0.135 s
% 2.16/0.57 % (10603)Instructions burned: 449 (million)
% 2.16/0.57 % (10603)------------------------------
% 2.16/0.57 % (10603)------------------------------
% 2.16/0.57 % (10615)Instruction limit reached!
% 2.16/0.57 % (10615)------------------------------
% 2.16/0.57 % (10615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.57 % (10615)Termination reason: Unknown
% 2.16/0.57 % (10615)Termination phase: Preprocessing 1
% 2.16/0.57
% 2.16/0.57 % (10615)Memory used [KB]: 1535
% 2.16/0.57 % (10615)Time elapsed: 0.011 s
% 2.16/0.57 % (10615)Instructions burned: 34 (million)
% 2.16/0.57 % (10615)------------------------------
% 2.16/0.57 % (10615)------------------------------
% 2.16/0.57 % (10574)Instruction limit reached!
% 2.16/0.57 % (10574)------------------------------
% 2.16/0.57 % (10574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.57 % (10574)Termination reason: Unknown
% 2.16/0.57 % (10574)Termination phase: Property scanning
% 2.16/0.57
% 2.16/0.57 % (10574)Memory used [KB]: 2046
% 2.16/0.57 % (10574)Time elapsed: 0.245 s
% 2.16/0.57 % (10574)Instructions burned: 1042 (million)
% 2.16/0.57 % (10574)------------------------------
% 2.16/0.57 % (10574)------------------------------
% 2.16/0.57 % (10583)Instruction limit reached!
% 2.16/0.57 % (10583)------------------------------
% 2.16/0.57 % (10583)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.57 % (10583)Termination reason: Unknown
% 2.16/0.57 % (10583)Termination phase: Saturation
% 2.16/0.57
% 2.16/0.57 % (10583)Memory used [KB]: 7547
% 2.16/0.57 % (10583)Time elapsed: 0.237 s
% 2.16/0.57 % (10583)Instructions burned: 712 (million)
% 2.16/0.57 % (10583)------------------------------
% 2.16/0.57 % (10583)------------------------------
% 2.16/0.57 % (10618)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (2997ds/71Mi)
% 2.16/0.58 % (10617)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on Vampire---4 for (2997ds/453Mi)
% 2.16/0.58 % (10619)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (2997ds/83Mi)
% 2.16/0.58 % (10620)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (2997ds/11Mi)
% 2.16/0.58 % (10620)Instruction limit reached!
% 2.16/0.58 % (10620)------------------------------
% 2.16/0.58 % (10620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.58 % (10620)Termination reason: Unknown
% 2.16/0.58 % (10620)Termination phase: shuffling
% 2.16/0.58
% 2.16/0.58 % (10620)Memory used [KB]: 1535
% 2.16/0.58 % (10620)Time elapsed: 0.005 s
% 2.16/0.58 % (10620)Instructions burned: 13 (million)
% 2.16/0.58 % (10620)------------------------------
% 2.16/0.58 % (10620)------------------------------
% 2.16/0.58 % (10616)Instruction limit reached!
% 2.16/0.58 % (10616)------------------------------
% 2.16/0.58 % (10616)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.58 % (10616)Termination reason: Unknown
% 2.16/0.58 % (10616)Termination phase: Function definition elimination
% 2.16/0.58
% 2.16/0.58 % (10616)Memory used [KB]: 1791
% 2.16/0.58 % (10616)Time elapsed: 0.021 s
% 2.16/0.58 % (10616)Instructions burned: 96 (million)
% 2.16/0.58 % (10616)------------------------------
% 2.16/0.58 % (10616)------------------------------
% 2.16/0.59 % (10621)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on Vampire---4 for (2997ds/41Mi)
% 2.16/0.59 % (10618)Instruction limit reached!
% 2.16/0.59 % (10618)------------------------------
% 2.16/0.59 % (10618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.59 % (10618)Termination reason: Unknown
% 2.16/0.59 % (10618)Termination phase: Function definition elimination
% 2.16/0.59
% 2.16/0.59 % (10622)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2997ds/6Mi)
% 2.16/0.59 % (10618)Memory used [KB]: 1791
% 2.16/0.59 % (10618)Time elapsed: 0.018 s
% 2.16/0.59 % (10618)Instructions burned: 76 (million)
% 2.16/0.59 % (10618)------------------------------
% 2.16/0.59 % (10618)------------------------------
% 2.16/0.59 % (10622)Instruction limit reached!
% 2.16/0.59 % (10622)------------------------------
% 2.16/0.59 % (10622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.59 % (10622)Termination reason: Unknown
% 2.16/0.59 % (10622)Termination phase: shuffling
% 2.16/0.59
% 2.16/0.59 % (10622)Memory used [KB]: 1279
% 2.16/0.59 % (10622)Time elapsed: 0.003 s
% 2.16/0.59 % (10622)Instructions burned: 6 (million)
% 2.16/0.59 % (10622)------------------------------
% 2.16/0.59 % (10622)------------------------------
% 2.16/0.59 % (10592)Instruction limit reached!
% 2.16/0.59 % (10592)------------------------------
% 2.16/0.59 % (10592)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.59 % (10592)Termination reason: Unknown
% 2.16/0.59 % (10592)Termination phase: Saturation
% 2.16/0.59
% 2.16/0.59 % (10592)Memory used [KB]: 7547
% 2.16/0.59 % (10592)Time elapsed: 0.238 s
% 2.16/0.59 % (10592)Instructions burned: 882 (million)
% 2.16/0.59 % (10592)------------------------------
% 2.16/0.59 % (10592)------------------------------
% 2.16/0.60 % (10623)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (2997ds/150Mi)
% 2.16/0.60 % (10624)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on Vampire---4 for (2997ds/343Mi)
% 2.16/0.60 % (10613)Instruction limit reached!
% 2.16/0.60 % (10613)------------------------------
% 2.16/0.60 % (10613)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.60 % (10625)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on Vampire---4 for (2997ds/109Mi)
% 2.16/0.60 % (10613)Termination reason: Unknown
% 2.16/0.60 % (10613)Termination phase: Property scanning
% 2.16/0.60
% 2.16/0.60 % (10613)Memory used [KB]: 2046
% 2.16/0.60 % (10613)Time elapsed: 0.079 s
% 2.16/0.60 % (10613)Instructions burned: 436 (million)
% 2.16/0.60 % (10613)------------------------------
% 2.16/0.60 % (10613)------------------------------
% 2.16/0.60 % (10619)Instruction limit reached!
% 2.16/0.60 % (10619)------------------------------
% 2.16/0.60 % (10619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.60 % (10619)Termination reason: Unknown
% 2.16/0.60 % (10619)Termination phase: Saturation
% 2.16/0.60
% 2.16/0.60 % (10619)Memory used [KB]: 6396
% 2.16/0.60 % (10619)Time elapsed: 0.028 s
% 2.16/0.60 % (10619)Instructions burned: 84 (million)
% 2.16/0.60 % (10619)------------------------------
% 2.16/0.60 % (10619)------------------------------
% 2.16/0.60 % (10621)Instruction limit reached!
% 2.16/0.60 % (10621)------------------------------
% 2.16/0.60 % (10621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.60 % (10621)Termination reason: Unknown
% 2.16/0.60 % (10621)Termination phase: Property scanning
% 2.16/0.60
% 2.16/0.60 % (10621)Memory used [KB]: 1663
% 2.16/0.60 % (10621)Time elapsed: 0.015 s
% 2.16/0.60 % (10621)Instructions burned: 41 (million)
% 2.16/0.60 % (10621)------------------------------
% 2.16/0.60 % (10621)------------------------------
% 2.16/0.61 % (10627)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (2996ds/140Mi)
% 2.16/0.61 % (10629)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on Vampire---4 for (2996ds/614Mi)
% 2.16/0.61 % (10626)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on Vampire---4 for (2996ds/253Mi)
% 2.16/0.62 % (10590)Instruction limit reached!
% 2.16/0.62 % (10590)------------------------------
% 2.16/0.62 % (10590)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.62 % (10590)Termination reason: Unknown
% 2.16/0.62 % (10590)Termination phase: Saturation
% 2.16/0.62
% 2.16/0.62 % (10590)Memory used [KB]: 7547
% 2.16/0.62 % (10590)Time elapsed: 0.267 s
% 2.16/0.62 % (10590)Instructions burned: 780 (million)
% 2.16/0.62 % (10590)------------------------------
% 2.16/0.62 % (10590)------------------------------
% 2.52/0.63 % (10630)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on Vampire---4 for (2996ds/202Mi)
% 2.52/0.63 % (10626)Refutation not found, incomplete strategy
% 2.52/0.63 % (10626)------------------------------
% 2.52/0.63 % (10626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.63 % (10626)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.63
% 2.52/0.63
% 2.52/0.63 % (10626)Memory used [KB]: 6140
% 2.52/0.63 % (10626)Time elapsed: 0.014 s
% 2.52/0.63 % (10626)Instructions burned: 40 (million)
% 2.52/0.63 % (10626)------------------------------
% 2.52/0.63 % (10626)------------------------------
% 2.52/0.63 % (10627)Refutation not found, incomplete strategy
% 2.52/0.63 % (10627)------------------------------
% 2.52/0.63 % (10627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.63 % (10627)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.63
% 2.52/0.63
% 2.52/0.63 % (10627)Memory used [KB]: 6140
% 2.52/0.63 % (10627)Time elapsed: 0.016 s
% 2.52/0.63 % (10627)Instructions burned: 51 (million)
% 2.52/0.63 % (10627)------------------------------
% 2.52/0.63 % (10627)------------------------------
% 2.52/0.63 % (10625)Instruction limit reached!
% 2.52/0.63 % (10625)------------------------------
% 2.52/0.63 % (10625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.63 % (10625)Termination reason: Unknown
% 2.52/0.63 % (10625)Termination phase: Function definition elimination
% 2.52/0.63
% 2.52/0.63 % (10625)Memory used [KB]: 1791
% 2.52/0.63 % (10625)Time elapsed: 0.025 s
% 2.52/0.63 % (10625)Instructions burned: 109 (million)
% 2.52/0.63 % (10625)------------------------------
% 2.52/0.63 % (10625)------------------------------
% 2.52/0.63 % (10623)Instruction limit reached!
% 2.52/0.63 % (10623)------------------------------
% 2.52/0.63 % (10623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.63 % (10623)Termination reason: Unknown
% 2.52/0.63 % (10623)Termination phase: Function definition elimination
% 2.52/0.63
% 2.52/0.63 % (10623)Memory used [KB]: 1918
% 2.52/0.63 % (10623)Time elapsed: 0.031 s
% 2.52/0.63 % (10623)Instructions burned: 155 (million)
% 2.52/0.63 % (10623)------------------------------
% 2.52/0.63 % (10623)------------------------------
% 2.52/0.63 % (10631)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on Vampire---4 for (2996ds/339Mi)
% 2.52/0.63 % (10632)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on Vampire---4 for (2996ds/283Mi)
% 2.52/0.63 % (10633)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on Vampire---4 for (2996ds/134Mi)
% 2.52/0.64 % (10634)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on Vampire---4 for (2996ds/298Mi)
% 2.52/0.64 % (10630)Refutation not found, incomplete strategy
% 2.52/0.64 % (10630)------------------------------
% 2.52/0.64 % (10630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.52/0.64 % (10630)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.64
% 2.52/0.64
% 2.52/0.64 % (10630)Memory used [KB]: 6140
% 2.52/0.64 % (10630)Time elapsed: 0.014 s
% 2.52/0.64 % (10630)Instructions burned: 43 (million)
% 2.52/0.64 % (10630)------------------------------
% 2.52/0.64 % (10630)------------------------------
% 2.52/0.65 % (10635)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on Vampire---4 for (2996ds/192Mi)
% 2.65/0.66 % (10633)Instruction limit reached!
% 2.65/0.66 % (10633)------------------------------
% 2.65/0.66 % (10633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.66 % (10633)Termination reason: Unknown
% 2.65/0.66 % (10633)Termination phase: Function definition elimination
% 2.65/0.66
% 2.65/0.66 % (10633)Memory used [KB]: 1791
% 2.65/0.66 % (10633)Time elapsed: 0.027 s
% 2.65/0.66 % (10633)Instructions burned: 136 (million)
% 2.65/0.66 % (10633)------------------------------
% 2.65/0.66 % (10633)------------------------------
% 2.65/0.66 % (10617)Instruction limit reached!
% 2.65/0.66 % (10617)------------------------------
% 2.65/0.66 % (10617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.66 % (10617)Termination reason: Unknown
% 2.65/0.66 % (10617)Termination phase: Property scanning
% 2.65/0.66
% 2.65/0.66 % (10617)Memory used [KB]: 2046
% 2.65/0.66 % (10617)Time elapsed: 0.089 s
% 2.65/0.66 % (10617)Instructions burned: 455 (million)
% 2.65/0.66 % (10617)------------------------------
% 2.65/0.66 % (10617)------------------------------
% 2.65/0.67 % (10636)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on Vampire---4 for (2996ds/258Mi)
% 2.65/0.67 % (10637)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on Vampire---4 for (2996ds/90Mi)
% 2.65/0.68 % (10632)Instruction limit reached!
% 2.65/0.68 % (10632)------------------------------
% 2.65/0.68 % (10632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.68 % (10632)Termination reason: Unknown
% 2.65/0.68 % (10632)Termination phase: Function definition elimination
% 2.65/0.68
% 2.65/0.68 % (10632)Memory used [KB]: 1918
% 2.65/0.68 % (10632)Time elapsed: 0.049 s
% 2.65/0.68 % (10632)Instructions burned: 286 (million)
% 2.65/0.68 % (10632)------------------------------
% 2.65/0.68 % (10632)------------------------------
% 2.65/0.68 % (10635)Instruction limit reached!
% 2.65/0.68 % (10635)------------------------------
% 2.65/0.68 % (10635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.68 % (10635)Termination reason: Unknown
% 2.65/0.68 % (10635)Termination phase: Function definition elimination
% 2.65/0.68
% 2.65/0.68 % (10635)Memory used [KB]: 1918
% 2.65/0.68 % (10635)Time elapsed: 0.036 s
% 2.65/0.68 % (10635)Instructions burned: 196 (million)
% 2.65/0.68 % (10635)------------------------------
% 2.65/0.68 % (10635)------------------------------
% 2.65/0.69 % (10634)Instruction limit reached!
% 2.65/0.69 % (10634)------------------------------
% 2.65/0.69 % (10634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.69 % (10634)Termination reason: Unknown
% 2.65/0.69 % (10634)Termination phase: Function definition elimination
% 2.65/0.69
% 2.65/0.69 % (10634)Memory used [KB]: 2046
% 2.65/0.69 % (10634)Time elapsed: 0.049 s
% 2.65/0.69 % (10634)Instructions burned: 299 (million)
% 2.65/0.69 % (10634)------------------------------
% 2.65/0.69 % (10634)------------------------------
% 2.65/0.69 % (10638)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on Vampire---4 for (2995ds/231Mi)
% 2.65/0.69 % (10639)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on Vampire---4 for (2995ds/458Mi)
% 2.65/0.69 % (10637)Instruction limit reached!
% 2.65/0.69 % (10637)------------------------------
% 2.65/0.69 % (10637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.69 % (10637)Termination reason: Unknown
% 2.65/0.69 % (10637)Termination phase: Function definition elimination
% 2.65/0.69
% 2.65/0.69 % (10637)Memory used [KB]: 1791
% 2.65/0.69 % (10637)Time elapsed: 0.021 s
% 2.65/0.69 % (10637)Instructions burned: 94 (million)
% 2.65/0.69 % (10637)------------------------------
% 2.65/0.69 % (10637)------------------------------
% 2.65/0.69 % (10640)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2995ds/31Mi)
% 2.65/0.70 % (10631)Instruction limit reached!
% 2.65/0.70 % (10631)------------------------------
% 2.65/0.70 % (10631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.70 % (10631)Termination reason: Unknown
% 2.65/0.70 % (10631)Termination phase: Property scanning
% 2.65/0.70
% 2.65/0.70 % (10631)Memory used [KB]: 1918
% 2.65/0.70 % (10631)Time elapsed: 0.065 s
% 2.65/0.70 % (10631)Instructions burned: 342 (million)
% 2.65/0.70 % (10631)------------------------------
% 2.65/0.70 % (10631)------------------------------
% 2.65/0.70 % (10641)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on Vampire---4 for (2995ds/297Mi)
% 2.65/0.70 % (10640)Instruction limit reached!
% 2.65/0.70 % (10640)------------------------------
% 2.65/0.70 % (10640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.70 % (10640)Termination reason: Unknown
% 2.65/0.70 % (10640)Termination phase: Property scanning
% 2.65/0.70
% 2.65/0.70 % (10640)Memory used [KB]: 1535
% 2.65/0.70 % (10640)Time elapsed: 0.010 s
% 2.65/0.70 % (10640)Instructions burned: 32 (million)
% 2.65/0.70 % (10640)------------------------------
% 2.65/0.70 % (10640)------------------------------
% 2.65/0.71 % (10642)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on Vampire---4 for (2995ds/987Mi)
% 2.65/0.71 % (10624)Instruction limit reached!
% 2.65/0.71 % (10624)------------------------------
% 2.65/0.71 % (10624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.71 % (10624)Termination reason: Unknown
% 2.65/0.71 % (10624)Termination phase: Saturation
% 2.65/0.71
% 2.65/0.71 % (10624)Memory used [KB]: 7036
% 2.65/0.71 % (10624)Time elapsed: 0.130 s
% 2.65/0.71 % (10624)Instructions burned: 344 (million)
% 2.65/0.71 % (10624)------------------------------
% 2.65/0.71 % (10624)------------------------------
% 2.65/0.71 % (10643)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on Vampire---4 for (2995ds/182Mi)
% 2.65/0.71 % (10644)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on Vampire---4 for (2995ds/182Mi)
% 2.65/0.73 % (10638)Instruction limit reached!
% 2.65/0.73 % (10638)------------------------------
% 2.65/0.73 % (10638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.65/0.73 % (10638)Termination reason: Unknown
% 2.65/0.73 % (10638)Termination phase: Function definition elimination
% 2.65/0.73
% 2.65/0.73 % (10638)Memory used [KB]: 1918
% 2.65/0.73 % (10638)Time elapsed: 0.039 s
% 2.65/0.73 % (10638)Instructions burned: 233 (million)
% 2.65/0.73 % (10638)------------------------------
% 2.65/0.73 % (10638)------------------------------
% 3.21/0.74 % (10645)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on Vampire---4 for (2995ds/154Mi)
% 3.21/0.74 % (10643)Instruction limit reached!
% 3.21/0.74 % (10643)------------------------------
% 3.21/0.74 % (10643)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.21/0.74 % (10643)Termination reason: Unknown
% 3.21/0.74 % (10643)Termination phase: Function definition elimination
% 3.21/0.74
% 3.21/0.74 % (10643)Memory used [KB]: 1918
% 3.21/0.74 % (10643)Time elapsed: 0.034 s
% 3.21/0.74 % (10643)Instructions burned: 182 (million)
% 3.21/0.74 % (10643)------------------------------
% 3.21/0.74 % (10643)------------------------------
% 3.21/0.75 % (10636)Instruction limit reached!
% 3.21/0.75 % (10636)------------------------------
% 3.21/0.75 % (10636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.21/0.75 % (10636)Termination reason: Unknown
% 3.21/0.75 % (10636)Termination phase: Saturation
% 3.21/0.75
% 3.21/0.75 % (10636)Memory used [KB]: 6908
% 3.21/0.75 % (10636)Time elapsed: 0.079 s
% 3.21/0.75 % (10636)Instructions burned: 260 (million)
% 3.21/0.75 % (10636)------------------------------
% 3.21/0.75 % (10636)------------------------------
% 3.21/0.75 % (10646)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on Vampire---4 for (2995ds/79Mi)
% 3.21/0.75 % (10629)Instruction limit reached!
% 3.21/0.75 % (10629)------------------------------
% 3.21/0.75 % (10629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.21/0.75 % (10629)Termination reason: Unknown
% 3.21/0.75 % (10629)Termination phase: Property scanning
% 3.21/0.75
% 3.21/0.75 % (10629)Memory used [KB]: 1918
% 3.21/0.75 % (10629)Time elapsed: 0.140 s
% 3.21/0.75 % (10629)Instructions burned: 618 (million)
% 3.21/0.75 % (10629)------------------------------
% 3.21/0.75 % (10629)------------------------------
% 3.21/0.75 % (10647)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on Vampire---4 for (2995ds/216Mi)
% 3.21/0.76 % (10648)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on Vampire---4 for (2995ds/114Mi)
% 3.21/0.76 % (10645)Instruction limit reached!
% 3.21/0.76 % (10645)------------------------------
% 3.21/0.76 % (10645)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.21/0.76 % (10645)Termination reason: Unknown
% 3.21/0.76 % (10645)Termination phase: Function definition elimination
% 3.21/0.76
% 3.21/0.76 % (10645)Memory used [KB]: 1918
% 3.21/0.76 % (10645)Time elapsed: 0.030 s
% 3.21/0.76 % (10645)Instructions burned: 156 (million)
% 3.21/0.76 % (10645)------------------------------
% 3.21/0.76 % (10645)------------------------------
% 3.52/0.77 % (10646)Instruction limit reached!
% 3.52/0.77 % (10646)------------------------------
% 3.52/0.77 % (10646)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.77 % (10646)Termination reason: Unknown
% 3.52/0.77 % (10646)Termination phase: Function definition elimination
% 3.52/0.77
% 3.52/0.77 % (10646)Memory used [KB]: 1791
% 3.52/0.77 % (10646)Time elapsed: 0.020 s
% 3.52/0.77 % (10646)Instructions burned: 79 (million)
% 3.52/0.77 % (10646)------------------------------
% 3.52/0.77 % (10646)------------------------------
% 3.52/0.77 % (10644)Instruction limit reached!
% 3.52/0.77 % (10644)------------------------------
% 3.52/0.77 % (10644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.77 % (10644)Termination reason: Unknown
% 3.52/0.77 % (10644)Termination phase: Saturation
% 3.52/0.77
% 3.52/0.77 % (10644)Memory used [KB]: 6652
% 3.52/0.77 % (10644)Time elapsed: 0.058 s
% 3.52/0.77 % (10644)Instructions burned: 184 (million)
% 3.52/0.77 % (10644)------------------------------
% 3.52/0.77 % (10644)------------------------------
% 3.52/0.77 % (10649)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on Vampire---4 for (2995ds/922Mi)
% 3.52/0.78 % (10650)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on Vampire---4 for (2995ds/182Mi)
% 3.52/0.78 % (10639)Instruction limit reached!
% 3.52/0.78 % (10639)------------------------------
% 3.52/0.78 % (10639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.78 % (10639)Termination reason: Unknown
% 3.52/0.78 % (10639)Termination phase: Property scanning
% 3.52/0.78
% 3.52/0.78 % (10639)Memory used [KB]: 1918
% 3.52/0.78 % (10639)Time elapsed: 0.090 s
% 3.52/0.78 % (10639)Instructions burned: 459 (million)
% 3.52/0.78 % (10639)------------------------------
% 3.52/0.78 % (10639)------------------------------
% 3.52/0.78 % (10651)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on Vampire---4 for (2995ds/164Mi)
% 3.52/0.79 % (10648)Instruction limit reached!
% 3.52/0.79 % (10648)------------------------------
% 3.52/0.79 % (10648)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.79 % (10648)Termination reason: Unknown
% 3.52/0.79 % (10648)Termination phase: Function definition elimination
% 3.52/0.79
% 3.52/0.79 % (10648)Memory used [KB]: 1791
% 3.52/0.79 % (10648)Time elapsed: 0.028 s
% 3.52/0.79 % (10648)Instructions burned: 120 (million)
% 3.52/0.79 % (10648)------------------------------
% 3.52/0.79 % (10648)------------------------------
% 3.52/0.79 % (10641)Instruction limit reached!
% 3.52/0.79 % (10641)------------------------------
% 3.52/0.79 % (10641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.79 % (10641)Termination reason: Unknown
% 3.52/0.79 % (10641)Termination phase: Saturation
% 3.52/0.79
% 3.52/0.79 % (10641)Memory used [KB]: 7164
% 3.52/0.79 % (10641)Time elapsed: 0.090 s
% 3.52/0.79 % (10641)Instructions burned: 299 (million)
% 3.52/0.79 % (10641)------------------------------
% 3.52/0.79 % (10641)------------------------------
% 3.52/0.79 % (10652)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on Vampire---4 for (2995ds/50Mi)
% 3.52/0.79 % (10653)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on Vampire---4 for (2995ds/368Mi)
% 3.52/0.80 % (10654)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (2995ds/1021Mi)
% 3.52/0.80 % (10652)Instruction limit reached!
% 3.52/0.80 % (10652)------------------------------
% 3.52/0.80 % (10652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.80 % (10652)Termination reason: Unknown
% 3.52/0.80 % (10652)Termination phase: Property scanning
% 3.52/0.80
% 3.52/0.80 % (10652)Memory used [KB]: 1663
% 3.52/0.80 % (10652)Time elapsed: 0.015 s
% 3.52/0.80 % (10652)Instructions burned: 51 (million)
% 3.52/0.80 % (10652)------------------------------
% 3.52/0.80 % (10652)------------------------------
% 3.52/0.81 % (10650)Instruction limit reached!
% 3.52/0.81 % (10650)------------------------------
% 3.52/0.81 % (10650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.81 % (10650)Termination reason: Unknown
% 3.52/0.81 % (10650)Termination phase: Function definition elimination
% 3.52/0.81
% 3.52/0.81 % (10650)Memory used [KB]: 1918
% 3.52/0.81 % (10650)Time elapsed: 0.034 s
% 3.52/0.81 % (10650)Instructions burned: 184 (million)
% 3.52/0.81 % (10650)------------------------------
% 3.52/0.81 % (10650)------------------------------
% 3.52/0.81 % (10655)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on Vampire---4 for (2994ds/267Mi)
% 3.52/0.82 % (10656)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on Vampire---4 for (2994ds/204Mi)
% 3.52/0.82 % (10647)Instruction limit reached!
% 3.52/0.82 % (10647)------------------------------
% 3.52/0.82 % (10647)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.82 % (10647)Termination reason: Unknown
% 3.52/0.82 % (10647)Termination phase: Saturation
% 3.52/0.82
% 3.52/0.82 % (10647)Memory used [KB]: 7036
% 3.52/0.82 % (10647)Time elapsed: 0.067 s
% 3.52/0.82 % (10647)Instructions burned: 218 (million)
% 3.52/0.82 % (10647)------------------------------
% 3.52/0.82 % (10647)------------------------------
% 3.52/0.83 % (10651)Instruction limit reached!
% 3.52/0.83 % (10651)------------------------------
% 3.52/0.83 % (10651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.83 % (10651)Termination reason: Unknown
% 3.52/0.83 % (10651)Termination phase: Saturation
% 3.52/0.83
% 3.52/0.83 % (10651)Memory used [KB]: 2046
% 3.52/0.83 % (10651)Time elapsed: 0.049 s
% 3.52/0.83 % (10651)Instructions burned: 164 (million)
% 3.52/0.83 % (10651)------------------------------
% 3.52/0.83 % (10651)------------------------------
% 3.52/0.83 % (10657)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (2994ds/26Mi)
% 4.02/0.84 % (10658)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on Vampire---4 for (2994ds/53Mi)
% 4.02/0.84 % (10657)Instruction limit reached!
% 4.02/0.84 % (10657)------------------------------
% 4.02/0.84 % (10657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.02/0.84 % (10657)Termination reason: Unknown
% 4.02/0.84 % (10657)Termination phase: Property scanning
% 4.02/0.84
% 4.02/0.84 % (10657)Memory used [KB]: 1663
% 4.02/0.84 % (10657)Time elapsed: 0.008 s
% 4.02/0.84 % (10657)Instructions burned: 27 (million)
% 4.02/0.84 % (10657)------------------------------
% 4.02/0.84 % (10657)------------------------------
% 4.02/0.84 % (10659)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on Vampire---4 for (2994ds/4436Mi)
% 4.02/0.85 % (10658)Instruction limit reached!
% 4.02/0.85 % (10658)------------------------------
% 4.02/0.85 % (10658)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.02/0.85 % (10658)Termination reason: Unknown
% 4.02/0.85 % (10658)Termination phase: Function definition elimination
% 4.02/0.85
% 4.02/0.85 % (10658)Memory used [KB]: 1663
% 4.02/0.85 % (10658)Time elapsed: 0.016 s
% 4.02/0.85 % (10658)Instructions burned: 57 (million)
% 4.02/0.85 % (10658)------------------------------
% 4.02/0.85 % (10658)------------------------------
% 4.02/0.85 % (10656)Instruction limit reached!
% 4.02/0.85 % (10656)------------------------------
% 4.02/0.85 % (10656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.02/0.85 % (10656)Termination reason: Unknown
% 4.02/0.85 % (10656)Termination phase: Function definition elimination
% 4.02/0.85
% 4.02/0.85 % (10656)Memory used [KB]: 1918
% 4.02/0.85 % (10656)Time elapsed: 0.039 s
% 4.02/0.85 % (10656)Instructions burned: 209 (million)
% 4.02/0.85 % (10656)------------------------------
% 4.02/0.85 % (10656)------------------------------
% 4.02/0.86 % (10660)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on Vampire---4 for (2994ds/1539Mi)
% 4.10/0.86 % (10653)Instruction limit reached!
% 4.10/0.86 % (10653)------------------------------
% 4.10/0.86 % (10653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.10/0.86 % (10653)Termination reason: Unknown
% 4.10/0.86 % (10655)Instruction limit reached!
% 4.10/0.86 % (10655)------------------------------
% 4.10/0.86 % (10655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.10/0.86 % (10655)Termination reason: Unknown
% 4.10/0.86 % (10655)Termination phase: Function definition elimination
% 4.10/0.86
% 4.10/0.86 % (10655)Memory used [KB]: 2046
% 4.10/0.86 % (10655)Time elapsed: 0.050 s
% 4.10/0.86 % (10655)Instructions burned: 271 (million)
% 4.10/0.86 % (10655)------------------------------
% 4.10/0.86 % (10655)------------------------------
% 4.10/0.86 % (10653)Termination phase: Property scanning
% 4.10/0.86
% 4.10/0.86 % (10653)Memory used [KB]: 1918
% 4.10/0.86 % (10653)Time elapsed: 0.070 s
% 4.10/0.86 % (10653)Instructions burned: 368 (million)
% 4.10/0.86 % (10653)------------------------------
% 4.10/0.86 % (10653)------------------------------
% 4.10/0.86 % (10661)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on Vampire---4 for (2994ds/408Mi)
% 4.10/0.87 % (10659)Refutation not found, incomplete strategy
% 4.10/0.87 % (10659)------------------------------
% 4.10/0.87 % (10659)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.10/0.87 % (10659)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.87
% 4.10/0.87
% 4.10/0.87 % (10659)Memory used [KB]: 6268
% 4.10/0.87 % (10659)Time elapsed: 0.023 s
% 4.10/0.87 % (10659)Instructions burned: 66 (million)
% 4.10/0.87 % (10659)------------------------------
% 4.10/0.87 % (10659)------------------------------
% 4.10/0.87 % (10662)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on Vampire---4 for (2994ds/5205Mi)
% 4.10/0.87 % (10663)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on Vampire---4 for (2994ds/1913Mi)
% 4.10/0.87 % (10664)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on Vampire---4 for (2994ds/4350Mi)
% 4.10/0.91 % (10642)Instruction limit reached!
% 4.10/0.91 % (10642)------------------------------
% 4.10/0.91 % (10642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.10/0.91 % (10642)Termination reason: Unknown
% 4.10/0.91 % (10642)Termination phase: Property scanning
% 4.10/0.91
% 4.10/0.91 % (10642)Memory used [KB]: 2046
% 4.10/0.91 % (10642)Time elapsed: 0.206 s
% 4.10/0.91 % (10642)Instructions burned: 990 (million)
% 4.10/0.91 % (10642)------------------------------
% 4.10/0.91 % (10642)------------------------------
% 4.10/0.92 % (10665)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on Vampire---4 for (2993ds/68Mi)
% 4.48/0.94 % (10665)Instruction limit reached!
% 4.48/0.94 % (10665)------------------------------
% 4.48/0.94 % (10665)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.48/0.94 % (10665)Termination reason: Unknown
% 4.48/0.94 % (10665)Termination phase: Function definition elimination
% 4.48/0.94
% 4.48/0.94 % (10665)Memory used [KB]: 1791
% 4.48/0.94 % (10665)Time elapsed: 0.021 s
% 4.48/0.94 % (10665)Instructions burned: 71 (million)
% 4.48/0.94 % (10665)------------------------------
% 4.48/0.94 % (10665)------------------------------
% 4.48/0.95 % (10666)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on Vampire---4 for (2993ds/358Mi)
% 4.51/0.96 % (10649)Instruction limit reached!
% 4.51/0.96 % (10649)------------------------------
% 4.51/0.96 % (10649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.51/0.96 % (10649)Termination reason: Unknown
% 4.51/0.96 % (10649)Termination phase: Property scanning
% 4.51/0.96
% 4.51/0.96 % (10649)Memory used [KB]: 1918
% 4.51/0.96 % (10649)Time elapsed: 0.189 s
% 4.51/0.96 % (10649)Instructions burned: 926 (million)
% 4.51/0.96 % (10649)------------------------------
% 4.51/0.96 % (10649)------------------------------
% 4.51/0.97 % (10667)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2993ds/31Mi)
% 4.51/0.98 % (10667)Instruction limit reached!
% 4.51/0.98 % (10667)------------------------------
% 4.51/0.98 % (10667)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.51/0.98 % (10667)Termination reason: Unknown
% 4.51/0.98 % (10667)Termination phase: Preprocessing 1
% 4.51/0.98
% 4.51/0.98 % (10667)Memory used [KB]: 1535
% 4.51/0.98 % (10667)Time elapsed: 0.011 s
% 4.51/0.98 % (10667)Instructions burned: 34 (million)
% 4.51/0.98 % (10667)------------------------------
% 4.51/0.98 % (10667)------------------------------
% 4.51/0.98 % (10661)Instruction limit reached!
% 4.51/0.98 % (10661)------------------------------
% 4.51/0.98 % (10661)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.51/0.98 % (10661)Termination reason: Unknown
% 4.51/0.98 % (10661)Termination phase: Saturation
% 4.51/0.98
% 4.51/0.98 % (10661)Memory used [KB]: 7419
% 4.51/0.98 % (10661)Time elapsed: 0.117 s
% 4.51/0.98 % (10661)Instructions burned: 410 (million)
% 4.51/0.98 % (10661)------------------------------
% 4.51/0.98 % (10661)------------------------------
% 4.51/0.98 % (10668)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on Vampire---4 for (2993ds/279Mi)
% 4.51/0.99 % (10669)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on Vampire---4 for (2993ds/258Mi)
% 4.51/1.00 % (10654)Instruction limit reached!
% 4.51/1.00 % (10654)------------------------------
% 4.51/1.00 % (10654)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.51/1.00 % (10654)Termination reason: Unknown
% 4.51/1.00 % (10654)Termination phase: Property scanning
% 4.51/1.00
% 4.51/1.00 % (10654)Memory used [KB]: 1918
% 4.51/1.00 % (10654)Time elapsed: 0.209 s
% 4.51/1.00 % (10654)Instructions burned: 1022 (million)
% 4.51/1.00 % (10654)------------------------------
% 4.51/1.00 % (10654)------------------------------
% 4.51/1.01 % (10670)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (2992ds/26Mi)
% 4.51/1.02 % (10670)Instruction limit reached!
% 4.51/1.02 % (10670)------------------------------
% 4.51/1.02 % (10670)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.51/1.02 % (10670)Termination reason: Unknown
% 4.51/1.02 % (10670)Termination phase: Property scanning
% 4.51/1.02
% 4.51/1.02 % (10670)Memory used [KB]: 1663
% 4.51/1.02 % (10670)Time elapsed: 0.009 s
% 4.51/1.02 % (10670)Instructions burned: 29 (million)
% 4.51/1.02 % (10670)------------------------------
% 4.51/1.02 % (10670)------------------------------
% 4.51/1.03 % (10671)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on Vampire---4 for (2992ds/995Mi)
% 5.08/1.03 % (10666)Instruction limit reached!
% 5.08/1.03 % (10666)------------------------------
% 5.08/1.03 % (10666)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.08/1.03 % (10666)Termination reason: Unknown
% 5.08/1.03 % (10666)Termination phase: Saturation
% 5.08/1.03
% 5.08/1.03 % (10666)Memory used [KB]: 6396
% 5.08/1.03 % (10666)Time elapsed: 0.088 s
% 5.08/1.03 % (10666)Instructions burned: 361 (million)
% 5.08/1.03 % (10666)------------------------------
% 5.08/1.03 % (10666)------------------------------
% 5.08/1.04 % (10672)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on Vampire---4 for (2992ds/373Mi)
% 5.08/1.07 % (10668)Instruction limit reached!
% 5.08/1.07 % (10668)------------------------------
% 5.08/1.07 % (10668)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.08/1.07 % (10668)Termination reason: Unknown
% 5.08/1.07 % (10668)Termination phase: Saturation
% 5.08/1.07
% 5.08/1.07 % (10668)Memory used [KB]: 7291
% 5.08/1.07 % (10668)Time elapsed: 0.088 s
% 5.08/1.07 % (10668)Instructions burned: 281 (million)
% 5.08/1.07 % (10668)------------------------------
% 5.08/1.07 % (10668)------------------------------
% 5.08/1.07 % (10669)Instruction limit reached!
% 5.08/1.07 % (10669)------------------------------
% 5.08/1.07 % (10669)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.08/1.07 % (10669)Termination reason: Unknown
% 5.08/1.07 % (10669)Termination phase: Saturation
% 5.08/1.07
% 5.08/1.07 % (10669)Memory used [KB]: 7164
% 5.08/1.07 % (10669)Time elapsed: 0.086 s
% 5.08/1.07 % (10669)Instructions burned: 259 (million)
% 5.08/1.07 % (10669)------------------------------
% 5.08/1.07 % (10669)------------------------------
% 5.08/1.08 % (10673)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on Vampire---4 for (2992ds/253Mi)
% 5.08/1.08 % (10674)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on Vampire---4 for (2992ds/832Mi)
% 6.29/1.12 % (10674)Refutation not found, incomplete strategy
% 6.29/1.12 % (10674)------------------------------
% 6.29/1.12 % (10674)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.29/1.12 % (10674)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.12
% 6.29/1.12
% 6.29/1.12 % (10674)Memory used [KB]: 6396
% 6.29/1.12 % (10674)Time elapsed: 0.038 s
% 6.29/1.12 % (10674)Instructions burned: 71 (million)
% 6.29/1.12 % (10674)------------------------------
% 6.29/1.12 % (10674)------------------------------
% 6.29/1.12 % (10673)Instruction limit reached!
% 6.29/1.12 % (10673)------------------------------
% 6.29/1.12 % (10673)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.29/1.12 % (10673)Termination reason: Unknown
% 6.29/1.12 % (10673)Termination phase: Function definition elimination
% 6.29/1.12
% 6.29/1.12 % (10673)Memory used [KB]: 1918
% 6.29/1.12 % (10673)Time elapsed: 0.042 s
% 6.29/1.12 % (10673)Instructions burned: 253 (million)
% 6.29/1.12 % (10673)------------------------------
% 6.29/1.12 % (10673)------------------------------
% 6.29/1.13 % (10672)Instruction limit reached!
% 6.29/1.13 % (10672)------------------------------
% 6.29/1.13 % (10672)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.29/1.13 % (10672)Termination reason: Unknown
% 6.29/1.13 % (10672)Termination phase: Property scanning
% 6.29/1.13
% 6.29/1.13 % (10672)Memory used [KB]: 1918
% 6.29/1.13 % (10672)Time elapsed: 0.086 s
% 6.29/1.13 % (10672)Instructions burned: 377 (million)
% 6.29/1.13 % (10672)------------------------------
% 6.29/1.13 % (10672)------------------------------
% 6.29/1.13 % (10676)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on Vampire---4 for (2991ds/40Mi)
% 6.29/1.13 % (10675)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on Vampire---4 for (2991ds/668Mi)
% 6.29/1.13 % (10677)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on Vampire---4 for (2991ds/294Mi)
% 6.29/1.14 % (10676)Instruction limit reached!
% 6.29/1.14 % (10676)------------------------------
% 6.29/1.14 % (10676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.29/1.14 % (10676)Termination reason: Unknown
% 6.29/1.14 % (10676)Termination phase: Property scanning
% 6.29/1.14
% 6.29/1.14 % (10676)Memory used [KB]: 1663
% 6.29/1.14 % (10676)Time elapsed: 0.012 s
% 6.29/1.14 % (10676)Instructions burned: 42 (million)
% 6.29/1.14 % (10676)------------------------------
% 6.29/1.14 % (10676)------------------------------
% 6.29/1.15 % (10678)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on Vampire---4 for (2991ds/187Mi)
% 6.89/1.18 % (10678)Instruction limit reached!
% 6.89/1.18 % (10678)------------------------------
% 6.89/1.18 % (10678)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.89/1.18 % (10678)Termination reason: Unknown
% 6.89/1.18 % (10678)Termination phase: Function definition elimination
% 6.89/1.18
% 6.89/1.18 % (10678)Memory used [KB]: 1918
% 6.89/1.18 % (10678)Time elapsed: 0.038 s
% 6.89/1.18 % (10678)Instructions burned: 190 (million)
% 6.89/1.18 % (10678)------------------------------
% 6.89/1.18 % (10678)------------------------------
% 6.89/1.19 % (10660)Instruction limit reached!
% 6.89/1.19 % (10660)------------------------------
% 6.89/1.19 % (10660)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.89/1.19 % (10660)Termination reason: Unknown
% 6.89/1.19 % (10660)Termination phase: Property scanning
% 6.89/1.19
% 6.89/1.19 % (10660)Memory used [KB]: 1918
% 6.89/1.19 % (10660)Time elapsed: 0.331 s
% 6.89/1.19 % (10660)Instructions burned: 1540 (million)
% 6.89/1.19 % (10660)------------------------------
% 6.89/1.19 % (10660)------------------------------
% 6.89/1.19 % (10679)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on Vampire---4 for (2990ds/371Mi)
% 6.89/1.20 % (10680)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on Vampire---4 for (2990ds/1827Mi)
% 7.14/1.22 % (10677)Instruction limit reached!
% 7.14/1.22 % (10677)------------------------------
% 7.14/1.22 % (10677)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.14/1.22 % (10677)Termination reason: Unknown
% 7.14/1.22 % (10677)Termination phase: Saturation
% 7.14/1.22
% 7.14/1.22 % (10677)Memory used [KB]: 6780
% 7.14/1.22 % (10677)Time elapsed: 0.091 s
% 7.14/1.22 % (10677)Instructions burned: 297 (million)
% 7.14/1.22 % (10677)------------------------------
% 7.14/1.22 % (10677)------------------------------
% 7.14/1.23 % (10681)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on Vampire---4 for (2990ds/70Mi)
% 7.14/1.24 % (10671)Instruction limit reached!
% 7.14/1.24 % (10671)------------------------------
% 7.14/1.24 % (10671)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.14/1.24 % (10671)Termination reason: Unknown
% 7.14/1.24 % (10671)Termination phase: Property scanning
% 7.14/1.24
% 7.14/1.24 % (10671)Memory used [KB]: 2046
% 7.14/1.24 % (10671)Time elapsed: 0.212 s
% 7.14/1.24 % (10671)Instructions burned: 998 (million)
% 7.14/1.24 % (10671)------------------------------
% 7.14/1.24 % (10671)------------------------------
% 7.33/1.25 % (10682)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on Vampire---4 for (2990ds/316Mi)
% 7.33/1.25 % (10681)Instruction limit reached!
% 7.33/1.25 % (10681)------------------------------
% 7.33/1.25 % (10681)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.33/1.25 % (10681)Termination reason: Unknown
% 7.33/1.25 % (10681)Termination phase: Function definition elimination
% 7.33/1.25
% 7.33/1.25 % (10681)Memory used [KB]: 1918
% 7.33/1.25 % (10681)Time elapsed: 0.018 s
% 7.33/1.25 % (10681)Instructions burned: 75 (million)
% 7.33/1.25 % (10681)------------------------------
% 7.33/1.25 % (10681)------------------------------
% 7.33/1.26 % (10683)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on Vampire---4 for (2990ds/932Mi)
% 7.33/1.27 % (10675)Instruction limit reached!
% 7.33/1.27 % (10675)------------------------------
% 7.33/1.27 % (10675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.33/1.27 % (10675)Termination reason: Unknown
% 7.33/1.27 % (10675)Termination phase: Property scanning
% 7.33/1.27
% 7.33/1.27 % (10675)Memory used [KB]: 2046
% 7.33/1.27 % (10675)Time elapsed: 0.143 s
% 7.33/1.27 % (10675)Instructions burned: 670 (million)
% 7.33/1.27 % (10675)------------------------------
% 7.33/1.27 % (10675)------------------------------
% 7.33/1.28 % (10684)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on Vampire---4 for (2990ds/4714Mi)
% 7.33/1.29 % (10679)First to succeed.
% 7.33/1.30 % (10679)Refutation found. Thanks to Tanya!
% 7.33/1.30 % SZS status Theorem for Vampire---4
% 7.33/1.30 % SZS output start Proof for Vampire---4
% 7.33/1.30 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 7.33/1.30 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 7.33/1.30 thf(func_def_3, type, eps: ($i > $o) > $i).
% 7.33/1.30 thf(func_def_4, type, in: $i > $i > $o).
% 7.33/1.30 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 7.33/1.30 thf(func_def_7, type, union: $i > $i).
% 7.33/1.30 thf(func_def_8, type, power: $i > $i).
% 7.33/1.30 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 7.33/1.30 thf(func_def_10, type, d_Union_closed: $i > $o).
% 7.33/1.30 thf(func_def_11, type, d_Power_closed: $i > $o).
% 7.33/1.30 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 7.33/1.30 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 7.33/1.30 thf(func_def_14, type, univof: $i > $i).
% 7.33/1.30 thf(func_def_15, type, if: $o > $i > $i > $i).
% 7.33/1.30 thf(func_def_16, type, nIn: $i > $i > $o).
% 7.33/1.30 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 7.33/1.30 thf(func_def_18, type, d_Sing: $i > $i).
% 7.33/1.30 thf(func_def_19, type, binunion: $i > $i > $i).
% 7.33/1.30 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 7.33/1.30 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 7.33/1.30 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 7.33/1.30 thf(func_def_23, type, setminus: $i > $i > $i).
% 7.33/1.30 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 7.33/1.30 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 7.33/1.30 thf(func_def_26, type, ordsucc: $i > $i).
% 7.33/1.30 thf(func_def_27, type, nat_p: $i > $o).
% 7.33/1.30 thf(func_def_29, type, d_Inj1: $i > $i).
% 7.33/1.30 thf(func_def_30, type, d_Inj0: $i > $i).
% 7.33/1.30 thf(func_def_31, type, d_Unj: $i > $i).
% 7.33/1.30 thf(func_def_32, type, pair: $i > $i > $i).
% 7.33/1.30 thf(func_def_33, type, proj0: $i > $i).
% 7.33/1.30 thf(func_def_34, type, proj1: $i > $i).
% 7.33/1.30 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 7.33/1.30 thf(func_def_36, type, setprod: $i > $i > $i).
% 7.33/1.30 thf(func_def_37, type, ap: $i > $i > $i).
% 7.33/1.30 thf(func_def_38, type, pair_p: $i > $o).
% 7.33/1.30 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 7.33/1.30 thf(func_def_40, type, imp: $o > $o > $o).
% 7.33/1.30 thf(func_def_41, type, d_not: $o > $o).
% 7.33/1.30 thf(func_def_42, type, wel: $o > $o).
% 7.33/1.30 thf(func_def_44, type, l_ec: $o > $o > $o).
% 7.33/1.30 thf(func_def_45, type, d_and: $o > $o > $o).
% 7.33/1.30 thf(func_def_46, type, l_or: $o > $o > $o).
% 7.33/1.30 thf(func_def_47, type, orec: $o > $o > $o).
% 7.33/1.30 thf(func_def_48, type, l_iff: $o > $o > $o).
% 7.33/1.30 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 7.33/1.30 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 7.33/1.30 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 7.33/1.30 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 7.33/1.30 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 7.33/1.30 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 7.33/1.30 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 7.33/1.30 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 7.33/1.30 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 7.33/1.30 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 7.33/1.30 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 7.33/1.30 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 7.33/1.30 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_72, type, first: $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_73, type, second: $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_80, type, r_ec: $o > $o > $o).
% 7.33/1.30 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_82, type, empty: $i > $i > $o).
% 7.33/1.30 thf(func_def_83, type, nonempty: $i > $i > $o).
% 7.33/1.30 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 7.33/1.30 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 7.33/1.30 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 7.33/1.30 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 7.33/1.30 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 7.33/1.30 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 7.33/1.30 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 7.33/1.30 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 7.33/1.30 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 7.33/1.30 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 7.33/1.30 thf(func_def_103, type, n_is: $i > $i > $o).
% 7.33/1.30 thf(func_def_104, type, nis: $i > $i > $o).
% 7.33/1.30 thf(func_def_105, type, n_in: $i > $i > $o).
% 7.33/1.30 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 7.33/1.30 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 7.33/1.30 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 7.33/1.30 thf(func_def_110, type, cond1: $i > $o).
% 7.33/1.30 thf(func_def_111, type, cond2: $i > $o).
% 7.33/1.30 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 7.33/1.30 thf(func_def_113, type, d_22_prop1: $i > $o).
% 7.33/1.30 thf(func_def_114, type, d_23_prop1: $i > $o).
% 7.33/1.30 thf(func_def_115, type, d_24_prop1: $i > $o).
% 7.33/1.30 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 7.33/1.30 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_118, type, prop4: $i > $o).
% 7.33/1.30 thf(func_def_119, type, d_24_g: $i > $i).
% 7.33/1.30 thf(func_def_120, type, plus: $i > $i).
% 7.33/1.30 thf(func_def_121, type, n_pl: $i > $i > $i).
% 7.33/1.30 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 7.33/1.30 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 7.33/1.30 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 7.33/1.30 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 7.33/1.30 thf(func_def_128, type, iii: $i > $i > $o).
% 7.33/1.30 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 7.33/1.30 thf(func_def_130, type, moreis: $i > $i > $o).
% 7.33/1.30 thf(func_def_131, type, lessis: $i > $i > $o).
% 7.33/1.30 thf(func_def_150, type, sK0: ($i > $o) > $i).
% 7.33/1.30 thf(func_def_154, type, ph4: !>[X0: $tType]:(X0)).
% 7.33/1.30 thf(f1869,plain,(
% 7.33/1.30 $false),
% 7.33/1.30 inference(avatar_sat_refutation,[],[f1189,f1194,f1327,f1333,f1334,f1385,f1652,f1668,f1681,f1781,f1799,f1868])).
% 7.33/1.30 thf(f1868,plain,(
% 7.33/1.30 spl1_29 | ~spl1_20 | ~spl1_26),
% 7.33/1.30 inference(avatar_split_clause,[],[f1867,f1324,f1191,f1673])).
% 7.33/1.30 thf(f1673,plain,(
% 7.33/1.30 spl1_29 <=> ((d_not @ $false) = $false)),
% 7.33/1.30 introduced(avatar_definition,[new_symbols(naming,[spl1_29])])).
% 7.33/1.30 thf(f1191,plain,(
% 7.33/1.30 spl1_20 <=> ((d_not @ $true) = $false)),
% 7.33/1.30 introduced(avatar_definition,[new_symbols(naming,[spl1_20])])).
% 7.33/1.30 thf(f1324,plain,(
% 7.33/1.30 spl1_26 <=> ((n_is @ sK2 @ sK3) = $false)),
% 7.33/1.30 introduced(avatar_definition,[new_symbols(naming,[spl1_26])])).
% 7.33/1.30 thf(f1867,plain,(
% 7.33/1.30 ((d_not @ $false) = $false) | (~spl1_20 | ~spl1_26)),
% 7.33/1.30 inference(boolean_simplification,[],[f1866])).
% 7.33/1.30 thf(f1866,plain,(
% 7.33/1.30 ((d_not @ (~ $true)) = $false) | (~spl1_20 | ~spl1_26)),
% 7.33/1.30 inference(backward_demodulation,[],[f1785,f1865])).
% 7.33/1.30 thf(f1865,plain,(
% 7.33/1.30 ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))) | ~spl1_20),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1864])).
% 7.33/1.30 thf(f1864,plain,(
% 7.33/1.30 ($false = $true) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))) | ~spl1_20),
% 7.33/1.30 inference(forward_demodulation,[],[f1863,f843])).
% 7.33/1.30 thf(f843,plain,(
% 7.33/1.30 ($true = (in @ sK3 @ nat))),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f841])).
% 7.33/1.30 thf(f841,plain,(
% 7.33/1.30 (((in @ sK3 @ nat) => ((l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0))))) => (n_is @ sK2 @ sK3))))) = $false)),
% 7.33/1.30 inference(beta_eta_normalization,[],[f840])).
% 7.33/1.30 thf(f840,plain,(
% 7.33/1.30 (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (n_is @ sK2 @ (n_pl @ Y0 @ Y1)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ sK2 @ Y1))))) => (n_is @ sK2 @ Y0)))))) @ sK3) = $false)),
% 7.33/1.30 inference(sigma_clausification,[],[f838])).
% 7.33/1.30 thf(f838,plain,(
% 7.33/1.30 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (n_is @ sK2 @ (n_pl @ Y0 @ Y1)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ sK2 @ Y1))))) => (n_is @ sK2 @ Y0))))))) = $false)),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f837])).
% 7.33/1.30 thf(f837,plain,(
% 7.33/1.30 ($false = ((in @ sK2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (n_is @ sK2 @ (n_pl @ Y0 @ Y1)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ sK2 @ Y1))))) => (n_is @ sK2 @ Y0)))))))))),
% 7.33/1.30 inference(beta_eta_normalization,[],[f836])).
% 7.33/1.30 thf(f836,plain,(
% 7.33/1.30 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y1 @ (n_pl @ Y0 @ Y2))))) => (n_is @ Y0 @ Y1))))))))) @ sK2))),
% 7.33/1.30 inference(sigma_clausification,[],[f835])).
% 7.33/1.30 thf(f835,plain,(
% 7.33/1.30 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y1 @ (n_pl @ Y0 @ Y2))))) => (n_is @ Y0 @ Y1)))))))))) != $true)),
% 7.33/1.30 inference(beta_eta_normalization,[],[f649])).
% 7.33/1.30 thf(f649,plain,(
% 7.33/1.30 (((^[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]: (((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (n_is @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y0 @ Y1) => (d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (n_is @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1))))))) != $true)),
% 7.33/1.30 inference(definition_unfolding,[],[f605,f612,f612,f613,f617])).
% 7.33/1.30 thf(f617,plain,(
% 7.33/1.30 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ (d_not @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (n_is @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 7.33/1.30 inference(definition_unfolding,[],[f579,f615,f614])).
% 7.33/1.30 thf(f614,plain,(
% 7.33/1.30 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (n_is @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y1 @ Y0))))))),
% 7.33/1.30 inference(definition_unfolding,[],[f604,f590,f594])).
% 7.33/1.30 thf(f594,plain,(
% 7.33/1.30 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 7.33/1.30 inference(cnf_transformation,[],[f381])).
% 7.33/1.30 thf(f381,plain,(
% 7.33/1.30 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 7.33/1.30 inference(fool_elimination,[],[f203])).
% 7.33/1.30 thf(f203,axiom,(
% 7.33/1.30 ((^[X0 : $i, X1 : $i, X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))) = diffprop)),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_diffprop)).
% 7.33/1.30 thf(f590,plain,(
% 7.33/1.30 (n_some = (l_some @ nat))),
% 7.33/1.30 inference(cnf_transformation,[],[f160])).
% 7.33/1.30 thf(f160,axiom,(
% 7.33/1.30 (n_some = (l_some @ nat))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_n_some)).
% 7.33/1.30 thf(f604,plain,(
% 7.33/1.30 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 7.33/1.30 inference(cnf_transformation,[],[f492])).
% 7.33/1.30 thf(f492,plain,(
% 7.33/1.30 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 7.33/1.30 inference(fool_elimination,[],[f206])).
% 7.33/1.30 thf(f206,axiom,(
% 7.33/1.30 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X1 @ X0))) = iii)),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_iii)).
% 7.33/1.30 thf(f615,plain,(
% 7.33/1.30 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ (d_not @ Y0))))),
% 7.33/1.30 inference(definition_unfolding,[],[f596,f586])).
% 7.33/1.30 thf(f586,plain,(
% 7.33/1.30 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 7.33/1.30 inference(cnf_transformation,[],[f523])).
% 7.33/1.30 thf(f523,plain,(
% 7.33/1.30 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 7.33/1.30 inference(fool_elimination,[],[f522])).
% 7.33/1.30 thf(f522,plain,(
% 7.33/1.30 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)),
% 7.33/1.30 inference(rectify,[],[f74])).
% 7.33/1.30 thf(f74,axiom,(
% 7.33/1.30 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_imp)).
% 7.33/1.30 thf(f596,plain,(
% 7.33/1.30 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 7.33/1.30 inference(cnf_transformation,[],[f395])).
% 7.33/1.30 thf(f395,plain,(
% 7.33/1.30 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 7.33/1.30 inference(fool_elimination,[],[f81])).
% 7.33/1.30 thf(f81,axiom,(
% 7.33/1.30 (l_or = (^[X0 : $o] : (imp @ (d_not @ X0))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_l_or)).
% 7.33/1.30 thf(f579,plain,(
% 7.33/1.30 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 7.33/1.30 inference(cnf_transformation,[],[f424])).
% 7.33/1.30 thf(f424,plain,(
% 7.33/1.30 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 7.33/1.30 inference(fool_elimination,[],[f217])).
% 7.33/1.30 thf(f217,axiom,(
% 7.33/1.30 (lessis = (^[X0 : $i, X1 : $i] : (l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_lessis)).
% 7.33/1.30 thf(f613,plain,(
% 7.33/1.30 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (n_is @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y0 @ Y1))))))),
% 7.33/1.30 inference(definition_unfolding,[],[f583,f590,f594])).
% 7.33/1.30 thf(f583,plain,(
% 7.33/1.30 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 7.33/1.30 inference(cnf_transformation,[],[f388])).
% 7.33/1.30 thf(f388,plain,(
% 7.33/1.30 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 7.33/1.30 inference(fool_elimination,[],[f205])).
% 7.33/1.30 thf(f205,axiom,(
% 7.33/1.30 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))) = d_29_ii)),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_d_29_ii)).
% 7.33/1.30 thf(f612,plain,(
% 7.33/1.30 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 7.33/1.30 inference(definition_unfolding,[],[f575,f564])).
% 7.33/1.30 thf(f564,plain,(
% 7.33/1.30 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 7.33/1.30 inference(cnf_transformation,[],[f528])).
% 7.33/1.30 thf(f528,plain,(
% 7.33/1.30 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 7.33/1.30 inference(fool_elimination,[],[f1])).
% 7.33/1.30 thf(f1,axiom,(
% 7.33/1.30 ((^[X0 : $i, X1 : $i > $o] : (X1 @ X0)) = is_of)),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_is_of)).
% 7.33/1.30 thf(f575,plain,(
% 7.33/1.30 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 7.33/1.30 inference(cnf_transformation,[],[f323])).
% 7.33/1.30 thf(f323,plain,(
% 7.33/1.30 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 7.33/1.30 inference(fool_elimination,[],[f322])).
% 7.33/1.30 thf(f322,plain,(
% 7.33/1.30 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 7.33/1.30 inference(rectify,[],[f2])).
% 7.33/1.30 thf(f2,axiom,(
% 7.33/1.30 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_all_of)).
% 7.33/1.30 thf(f605,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_not @ (lessis @ Y0 @ Y1))))))) != $true)),
% 7.33/1.30 inference(cnf_transformation,[],[f552])).
% 7.33/1.30 thf(f552,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_not @ (lessis @ Y0 @ Y1))))))) != $true)),
% 7.33/1.30 inference(flattening,[],[f467])).
% 7.33/1.30 thf(f467,plain,(
% 7.33/1.30 ~((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_not @ (lessis @ Y0 @ Y1))))))) = $true)),
% 7.33/1.30 inference(fool_elimination,[],[f466])).
% 7.33/1.30 thf(f466,plain,(
% 7.33/1.30 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_29_ii @ X1 @ X3) => (d_not @ (lessis @ X1 @ X3)))))))),
% 7.33/1.30 inference(rectify,[],[f225])).
% 7.33/1.30 thf(f225,negated_conjecture,(
% 7.33/1.30 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_29_ii @ X0 @ X1) => (d_not @ (lessis @ X0 @ X1)))))))),
% 7.33/1.30 inference(negated_conjecture,[],[f224])).
% 7.33/1.30 thf(f224,conjecture,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_29_ii @ X0 @ X1) => (d_not @ (lessis @ X0 @ X1)))))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',satz10g)).
% 7.33/1.30 thf(f1863,plain,(
% 7.33/1.30 ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))) | ($false = (in @ sK3 @ nat)) | ~spl1_20),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1862])).
% 7.33/1.30 thf(f1862,plain,(
% 7.33/1.30 ($false = $true) | ($false = (in @ sK3 @ nat)) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))) | ~spl1_20),
% 7.33/1.30 inference(forward_demodulation,[],[f1861,f839])).
% 7.33/1.30 thf(f839,plain,(
% 7.33/1.30 ((in @ sK2 @ nat) = $true)),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f837])).
% 7.33/1.30 thf(f1861,plain,(
% 7.33/1.30 ((in @ sK2 @ nat) = $false) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))) | ($false = (in @ sK3 @ nat)) | ~spl1_20),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1860])).
% 7.33/1.30 thf(f1860,plain,(
% 7.33/1.30 ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))) | ((in @ sK2 @ nat) = $false) | ($false = (in @ sK3 @ nat)) | ($false = $true) | ~spl1_20),
% 7.33/1.30 inference(forward_demodulation,[],[f1855,f1193])).
% 7.33/1.30 thf(f1193,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | ~spl1_20),
% 7.33/1.30 inference(avatar_component_clause,[],[f1191])).
% 7.33/1.30 thf(f1855,plain,(
% 7.33/1.30 ((d_not @ $true) = $true) | ((in @ sK2 @ nat) = $false) | ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))) | ($false = (in @ sK3 @ nat))),
% 7.33/1.30 inference(superposition,[],[f789,f845])).
% 7.33/1.30 thf(f845,plain,(
% 7.33/1.30 ((l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0)))) = $true)),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f842])).
% 7.33/1.30 thf(f842,plain,(
% 7.33/1.30 (((l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0))))) => (n_is @ sK2 @ sK3)))) = $false)),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f841])).
% 7.33/1.30 thf(f789,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))) = $true) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) = $true) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f787])).
% 7.33/1.30 thf(f787,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ($false = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) => (n_is @ X1 @ X2))) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))) = $true)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f786])).
% 7.33/1.30 thf(f786,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (($true = (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) => (n_is @ X1 @ X2)) => (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))))) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f785])).
% 7.33/1.30 thf(f785,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) => (n_is @ X1 @ X2)) => (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))))))) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f784])).
% 7.33/1.30 thf(f784,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1))))) => (n_is @ X1 @ Y0)) => (d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1)))))))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(pi_clausification,[],[f783])).
% 7.33/1.30 thf(f783,plain,(
% 7.33/1.30 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1))))) => (n_is @ X1 @ Y0)) => (d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1))))))))) = $true)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f782])).
% 7.33/1.30 thf(f782,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1))))) => (n_is @ X1 @ Y0)) => (d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1)))))))))) = $true)) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f781])).
% 7.33/1.30 thf(f781,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))) => (n_is @ Y0 @ Y1)) => (d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y1 @ (n_pl @ Y0 @ Y2))))))))))) @ X1) = $true)) )),
% 7.33/1.30 inference(pi_clausification,[],[f780])).
% 7.33/1.30 thf(f780,plain,(
% 7.33/1.30 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))) => (n_is @ Y0 @ Y1)) => (d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y1 @ (n_pl @ Y0 @ Y2)))))))))))))),
% 7.33/1.30 inference(beta_eta_normalization,[],[f619])).
% 7.33/1.30 thf(f619,plain,(
% 7.33/1.30 (((^[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]: (((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (n_is @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1) => (d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (n_is @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1))))))) = $true)),
% 7.33/1.30 inference(definition_unfolding,[],[f559,f612,f612,f616,f614])).
% 7.33/1.30 thf(f616,plain,(
% 7.33/1.30 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ (d_not @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (n_is @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 7.33/1.30 inference(definition_unfolding,[],[f588,f615,f613])).
% 7.33/1.30 thf(f588,plain,(
% 7.33/1.30 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 7.33/1.30 inference(cnf_transformation,[],[f313])).
% 7.33/1.30 thf(f313,plain,(
% 7.33/1.30 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 7.33/1.30 inference(fool_elimination,[],[f216])).
% 7.33/1.30 thf(f216,axiom,(
% 7.33/1.30 (moreis = (^[X0 : $i, X1 : $i] : (l_or @ (d_29_ii @ X0 @ X1) @ (n_is @ X0 @ X1))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_moreis)).
% 7.33/1.30 thf(f559,plain,(
% 7.33/1.30 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (d_not @ (iii @ Y0 @ Y1))))))))),
% 7.33/1.30 inference(cnf_transformation,[],[f258])).
% 7.33/1.30 thf(f258,plain,(
% 7.33/1.30 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (d_not @ (iii @ Y0 @ Y1))))))))),
% 7.33/1.30 inference(fool_elimination,[],[f257])).
% 7.33/1.30 thf(f257,plain,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((moreis @ X1 @ X3) => (d_not @ (iii @ X1 @ X3)))))))),
% 7.33/1.30 inference(rectify,[],[f220])).
% 7.33/1.30 thf(f220,axiom,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((moreis @ X0 @ X1) => (d_not @ (iii @ X0 @ X1)))))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',satz10c)).
% 7.33/1.30 thf(f1785,plain,(
% 7.33/1.30 ($false = (d_not @ (~ (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))))) | ~spl1_26),
% 7.33/1.30 inference(boolean_simplification,[],[f1782])).
% 7.33/1.30 thf(f1782,plain,(
% 7.33/1.30 ((d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0))))) => $false)) = $false) | ~spl1_26),
% 7.33/1.30 inference(backward_demodulation,[],[f844,f1326])).
% 7.33/1.30 thf(f1326,plain,(
% 7.33/1.30 ((n_is @ sK2 @ sK3) = $false) | ~spl1_26),
% 7.33/1.30 inference(avatar_component_clause,[],[f1324])).
% 7.33/1.30 thf(f844,plain,(
% 7.33/1.30 ((d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0))))) => (n_is @ sK2 @ sK3))) = $false)),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f842])).
% 7.33/1.30 thf(f1799,plain,(
% 7.33/1.30 spl1_11 | ~spl1_29),
% 7.33/1.30 inference(avatar_split_clause,[],[f1798,f1673,f1036])).
% 7.33/1.30 thf(f1036,plain,(
% 7.33/1.30 spl1_11 <=> ! [X0] : (($false = (in @ (ordsucc @ X0) @ nat)) | ((in @ X0 @ nat) = $false) | ((n_is @ (ordsucc @ X0) @ X0) = $true))),
% 7.33/1.30 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])).
% 7.33/1.30 thf(f1798,plain,(
% 7.33/1.30 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ((n_is @ (ordsucc @ X0) @ X0) = $true) | ($false = (in @ (ordsucc @ X0) @ nat))) ) | ~spl1_29),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1797])).
% 7.33/1.30 thf(f1797,plain,(
% 7.33/1.30 ( ! [X0 : $i] : (((n_is @ (ordsucc @ X0) @ X0) = $true) | ($false = $true) | ((in @ X0 @ nat) = $false) | ($false = (in @ (ordsucc @ X0) @ nat))) ) | ~spl1_29),
% 7.33/1.30 inference(forward_demodulation,[],[f1450,f1675])).
% 7.33/1.30 thf(f1675,plain,(
% 7.33/1.30 ((d_not @ $false) = $false) | ~spl1_29),
% 7.33/1.30 inference(avatar_component_clause,[],[f1673])).
% 7.33/1.30 thf(f1450,plain,(
% 7.33/1.30 ( ! [X0 : $i] : (((d_not @ $false) = $true) | ((in @ X0 @ nat) = $false) | ($false = (in @ (ordsucc @ X0) @ nat)) | ((n_is @ (ordsucc @ X0) @ X0) = $true)) )),
% 7.33/1.30 inference(duplicate_literal_removal,[],[f1443])).
% 7.33/1.30 thf(f1443,plain,(
% 7.33/1.30 ( ! [X0 : $i] : (($false = (in @ (ordsucc @ X0) @ nat)) | ($false = (in @ (ordsucc @ X0) @ nat)) | ((in @ X0 @ nat) = $false) | ((n_is @ (ordsucc @ X0) @ X0) = $true) | ((d_not @ $false) = $true)) )),
% 7.33/1.30 inference(superposition,[],[f893,f854])).
% 7.33/1.30 thf(f854,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((n_is @ (ordsucc @ X1) @ (ordsucc @ X2)) = $false) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((n_is @ X1 @ X2) = $true)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f853])).
% 7.33/1.30 thf(f853,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($true = ((n_is @ (ordsucc @ X1) @ (ordsucc @ X2)) => (n_is @ X1 @ X2)))) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f852])).
% 7.33/1.30 thf(f852,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((in @ X2 @ nat) => ((n_is @ (ordsucc @ X1) @ (ordsucc @ X2)) => (n_is @ X1 @ X2))) = $true)) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f851])).
% 7.33/1.30 thf(f851,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_is @ (ordsucc @ X1) @ (ordsucc @ Y0)) => (n_is @ X1 @ Y0)))) @ X2) = $true)) )),
% 7.33/1.30 inference(pi_clausification,[],[f850])).
% 7.33/1.30 thf(f850,plain,(
% 7.33/1.30 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_is @ (ordsucc @ X1) @ (ordsucc @ Y0)) => (n_is @ X1 @ Y0)))))) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f849])).
% 7.33/1.30 thf(f849,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_is @ (ordsucc @ X1) @ (ordsucc @ Y0)) => (n_is @ X1 @ Y0)))))) = $true)) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f848])).
% 7.33/1.30 thf(f848,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1))))))) @ X1) = $true)) )),
% 7.33/1.30 inference(pi_clausification,[],[f847])).
% 7.33/1.30 thf(f847,plain,(
% 7.33/1.30 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1)))))))) = $true)),
% 7.33/1.30 inference(beta_eta_normalization,[],[f626])).
% 7.33/1.30 thf(f626,plain,(
% 7.33/1.30 ($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]: ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1)))))))),
% 7.33/1.30 inference(definition_unfolding,[],[f570,f612,f612])).
% 7.33/1.30 thf(f570,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1)))))) = $true)),
% 7.33/1.30 inference(cnf_transformation,[],[f533])).
% 7.33/1.30 thf(f533,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1)))))) = $true)),
% 7.33/1.30 inference(fool_elimination,[],[f532])).
% 7.33/1.30 thf(f532,plain,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((n_is @ (ordsucc @ X1) @ (ordsucc @ X3)) => (n_is @ X1 @ X3))))))),
% 7.33/1.30 inference(rectify,[],[f167])).
% 7.33/1.30 thf(f167,axiom,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((n_is @ (ordsucc @ X0) @ (ordsucc @ X1)) => (n_is @ X0 @ X1))))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',n_ax4)).
% 7.33/1.30 thf(f893,plain,(
% 7.33/1.30 ( ! [X1 : $i] : (((d_not @ (n_is @ (ordsucc @ X1) @ X1)) = $true) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f892])).
% 7.33/1.30 thf(f892,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (d_not @ (n_is @ (ordsucc @ X1) @ X1))) = $true)) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f891])).
% 7.33/1.30 thf(f891,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (d_not @ (n_is @ (ordsucc @ Y0) @ Y0)))) @ X1) = $true)) )),
% 7.33/1.30 inference(pi_clausification,[],[f890])).
% 7.33/1.30 thf(f890,plain,(
% 7.33/1.30 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (d_not @ (n_is @ (ordsucc @ Y0) @ Y0))))) = $true)),
% 7.33/1.30 inference(beta_eta_normalization,[],[f634])).
% 7.33/1.30 thf(f634,plain,(
% 7.33/1.30 (((^[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]: (d_not @ (n_is @ Y1 @ Y2))))) @ (ordsucc @ Y0) @ Y0))) = $true)),
% 7.33/1.30 inference(definition_unfolding,[],[f581,f612,f568])).
% 7.33/1.30 thf(f568,plain,(
% 7.33/1.30 (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (n_is @ Y0 @ Y1))))))),
% 7.33/1.30 inference(cnf_transformation,[],[f499])).
% 7.33/1.30 thf(f499,plain,(
% 7.33/1.30 (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (n_is @ Y0 @ Y1))))))),
% 7.33/1.30 inference(fool_elimination,[],[f158])).
% 7.33/1.30 thf(f158,axiom,(
% 7.33/1.30 (nis = (^[X0 : $i, X1 : $i] : (d_not @ (n_is @ X0 @ X1))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_nis)).
% 7.33/1.30 thf(f581,plain,(
% 7.33/1.30 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (nis @ (ordsucc @ Y0) @ Y0))))),
% 7.33/1.30 inference(cnf_transformation,[],[f417])).
% 7.33/1.30 thf(f417,plain,(
% 7.33/1.30 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (nis @ (ordsucc @ Y0) @ Y0))))),
% 7.33/1.30 inference(fool_elimination,[],[f416])).
% 7.33/1.30 thf(f416,plain,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (nis @ (ordsucc @ X1) @ X1)))),
% 7.33/1.30 inference(rectify,[],[f174])).
% 7.33/1.30 thf(f174,axiom,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (nis @ (ordsucc @ X0) @ X0)))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',satz2)).
% 7.33/1.30 thf(f1781,plain,(
% 7.33/1.30 spl1_25 | ~spl1_8 | spl1_27),
% 7.33/1.30 inference(avatar_split_clause,[],[f1780,f1345,f1019,f1310])).
% 7.33/1.30 thf(f1310,plain,(
% 7.33/1.30 spl1_25 <=> ((n_is @ sK2 @ sK3) = $true)),
% 7.33/1.30 introduced(avatar_definition,[new_symbols(naming,[spl1_25])])).
% 7.33/1.30 thf(f1019,plain,(
% 7.33/1.30 spl1_8 <=> ((d_not @ $true) = $true)),
% 7.33/1.30 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 7.33/1.30 thf(f1345,plain,(
% 7.33/1.30 spl1_27 <=> ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0))))))),
% 7.33/1.30 introduced(avatar_definition,[new_symbols(naming,[spl1_27])])).
% 7.33/1.30 thf(f1780,plain,(
% 7.33/1.30 ((n_is @ sK2 @ sK3) = $true) | (~spl1_8 | spl1_27)),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1779])).
% 7.33/1.30 thf(f1779,plain,(
% 7.33/1.30 ((n_is @ sK2 @ sK3) = $true) | ($false = $true) | (~spl1_8 | spl1_27)),
% 7.33/1.30 inference(forward_demodulation,[],[f1778,f843])).
% 7.33/1.30 thf(f1778,plain,(
% 7.33/1.30 ((n_is @ sK2 @ sK3) = $true) | ($false = (in @ sK3 @ nat)) | (~spl1_8 | spl1_27)),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1777])).
% 7.33/1.30 thf(f1777,plain,(
% 7.33/1.30 ((n_is @ sK2 @ sK3) = $true) | ($false = (in @ sK3 @ nat)) | ($false = $true) | (~spl1_8 | spl1_27)),
% 7.33/1.30 inference(forward_demodulation,[],[f1776,f1021])).
% 7.33/1.30 thf(f1021,plain,(
% 7.33/1.30 ((d_not @ $true) = $true) | ~spl1_8),
% 7.33/1.30 inference(avatar_component_clause,[],[f1019])).
% 7.33/1.30 thf(f1776,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | ((n_is @ sK2 @ sK3) = $true) | ($false = (in @ sK3 @ nat)) | spl1_27),
% 7.33/1.30 inference(forward_demodulation,[],[f1775,f845])).
% 7.33/1.30 thf(f1775,plain,(
% 7.33/1.30 ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ($false = (in @ sK3 @ nat)) | ((n_is @ sK2 @ sK3) = $true) | spl1_27),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1774])).
% 7.33/1.30 thf(f1774,plain,(
% 7.33/1.30 ((n_is @ sK2 @ sK3) = $true) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ($false = (in @ sK3 @ nat)) | ($false = $true) | spl1_27),
% 7.33/1.30 inference(forward_demodulation,[],[f1771,f839])).
% 7.33/1.30 thf(f1771,plain,(
% 7.33/1.30 ((in @ sK2 @ nat) = $false) | ((n_is @ sK2 @ sK3) = $true) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ($false = (in @ sK3 @ nat)) | spl1_27),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1770])).
% 7.33/1.30 thf(f1770,plain,(
% 7.33/1.30 ((n_is @ sK2 @ sK3) = $true) | ($false = (in @ sK3 @ nat)) | ($false != $false) | ((in @ sK2 @ nat) = $false) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | spl1_27),
% 7.33/1.30 inference(superposition,[],[f1346,f889])).
% 7.33/1.30 thf(f889,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))) = $false) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) = $false) | ((n_is @ X1 @ X2) = $true)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f888])).
% 7.33/1.30 thf(f888,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))) = $false) | ($true = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) => (n_is @ X1 @ X2)))) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f887])).
% 7.33/1.30 thf(f887,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ($true = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) => (n_is @ X1 @ X2)))) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f886])).
% 7.33/1.30 thf(f886,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) => (n_is @ X1 @ X2)))))) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f885])).
% 7.33/1.30 thf(f885,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1))))) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1))))) => (n_is @ X1 @ Y0))))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(pi_clausification,[],[f884])).
% 7.33/1.30 thf(f884,plain,(
% 7.33/1.30 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1))))) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1))))) => (n_is @ X1 @ Y0)))))) = $true)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f883])).
% 7.33/1.30 thf(f883,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1))))) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1))))) => (n_is @ X1 @ Y0))))))) = $true)) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f882])).
% 7.33/1.30 thf(f882,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y1 @ (n_pl @ Y0 @ Y2))))) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))) => (n_is @ Y0 @ Y1)))))))) @ X1) = $true)) )),
% 7.33/1.30 inference(pi_clausification,[],[f881])).
% 7.33/1.30 thf(f881,plain,(
% 7.33/1.30 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y1 @ (n_pl @ Y0 @ Y2))))) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))) => (n_is @ Y0 @ Y1))))))))))),
% 7.33/1.30 inference(beta_eta_normalization,[],[f627])).
% 7.33/1.30 thf(f627,plain,(
% 7.33/1.30 (((^[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_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (n_is @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (n_is @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1)))))) = $true)),
% 7.33/1.30 inference(definition_unfolding,[],[f571,f612,f612,f614,f616])).
% 7.33/1.30 thf(f571,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (iii @ Y0 @ Y1)) => (moreis @ Y0 @ Y1)))))) = $true)),
% 7.33/1.30 inference(cnf_transformation,[],[f394])).
% 7.33/1.30 thf(f394,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (iii @ Y0 @ Y1)) => (moreis @ Y0 @ Y1)))))) = $true)),
% 7.33/1.30 inference(fool_elimination,[],[f393])).
% 7.33/1.30 thf(f393,plain,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (iii @ X1 @ X3)) => (moreis @ X1 @ X3))))))),
% 7.33/1.30 inference(rectify,[],[f223])).
% 7.33/1.30 thf(f223,axiom,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (iii @ X0 @ X1)) => (moreis @ X0 @ X1))))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',satz10f)).
% 7.33/1.30 thf(f1346,plain,(
% 7.33/1.30 ($false != (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))) | spl1_27),
% 7.33/1.30 inference(avatar_component_clause,[],[f1345])).
% 7.33/1.30 thf(f1681,plain,(
% 7.33/1.30 spl1_20 | ~spl1_27),
% 7.33/1.30 inference(avatar_split_clause,[],[f1680,f1345,f1191])).
% 7.33/1.30 thf(f1680,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | ~spl1_27),
% 7.33/1.30 inference(boolean_simplification,[],[f1679])).
% 7.33/1.30 thf(f1679,plain,(
% 7.33/1.30 ((d_not @ ($false => (n_is @ sK2 @ sK3))) = $false) | ~spl1_27),
% 7.33/1.30 inference(forward_demodulation,[],[f844,f1347])).
% 7.33/1.30 thf(f1347,plain,(
% 7.33/1.30 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))) | ~spl1_27),
% 7.33/1.30 inference(avatar_component_clause,[],[f1345])).
% 7.33/1.30 thf(f1668,plain,(
% 7.33/1.30 ~spl1_8 | ~spl1_20),
% 7.33/1.30 inference(avatar_contradiction_clause,[],[f1667])).
% 7.33/1.30 thf(f1667,plain,(
% 7.33/1.30 $false | (~spl1_8 | ~spl1_20)),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1666])).
% 7.33/1.30 thf(f1666,plain,(
% 7.33/1.30 ($false = $true) | (~spl1_8 | ~spl1_20)),
% 7.33/1.30 inference(backward_demodulation,[],[f1021,f1193])).
% 7.33/1.30 thf(f1652,plain,(
% 7.33/1.30 spl1_20 | ~spl1_26),
% 7.33/1.30 inference(avatar_split_clause,[],[f1651,f1324,f1191])).
% 7.33/1.30 thf(f1651,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | ~spl1_26),
% 7.33/1.30 inference(duplicate_literal_removal,[],[f1650])).
% 7.33/1.30 thf(f1650,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | ((d_not @ $true) = $false) | ~spl1_26),
% 7.33/1.30 inference(forward_demodulation,[],[f1649,f845])).
% 7.33/1.30 thf(f1649,plain,(
% 7.33/1.30 ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ((d_not @ $true) = $false) | ~spl1_26),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1648])).
% 7.33/1.30 thf(f1648,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ($false = $true) | ~spl1_26),
% 7.33/1.30 inference(forward_demodulation,[],[f1647,f1326])).
% 7.33/1.30 thf(f1647,plain,(
% 7.33/1.30 ((n_is @ sK2 @ sK3) = $true) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ((d_not @ $true) = $false) | ~spl1_26),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1646])).
% 7.33/1.30 thf(f1646,plain,(
% 7.33/1.30 ((n_is @ sK2 @ sK3) = $true) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ((d_not @ $true) = $false) | ($false = $true) | ~spl1_26),
% 7.33/1.30 inference(forward_demodulation,[],[f1645,f843])).
% 7.33/1.30 thf(f1645,plain,(
% 7.33/1.30 ($false = (in @ sK3 @ nat)) | ((n_is @ sK2 @ sK3) = $true) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ((d_not @ $true) = $false) | ~spl1_26),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1644])).
% 7.33/1.30 thf(f1644,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | ($false = (in @ sK3 @ nat)) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ($false = $true) | ((n_is @ sK2 @ sK3) = $true) | ~spl1_26),
% 7.33/1.30 inference(forward_demodulation,[],[f1643,f839])).
% 7.33/1.30 thf(f1643,plain,(
% 7.33/1.30 ((in @ sK2 @ nat) = $false) | ((n_is @ sK2 @ sK3) = $true) | ((d_not @ $true) = $false) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ($false = (in @ sK3 @ nat)) | ~spl1_26),
% 7.33/1.30 inference(boolean_simplification,[],[f1638])).
% 7.33/1.30 thf(f1638,plain,(
% 7.33/1.30 ($false = (in @ sK3 @ nat)) | ((in @ sK2 @ nat) = $false) | ((n_is @ sK2 @ sK3) = $true) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK2 @ (n_pl @ sK3 @ Y0))))) = $false) | ((d_not @ (~ $false)) = $false) | ~spl1_26),
% 7.33/1.30 inference(superposition,[],[f1355,f889])).
% 7.33/1.30 thf(f1355,plain,(
% 7.33/1.30 ($false = (d_not @ (~ (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))))))) | ~spl1_26),
% 7.33/1.30 inference(boolean_simplification,[],[f1354])).
% 7.33/1.30 thf(f1354,plain,(
% 7.33/1.30 ((d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0))))) => $false)) = $false) | ~spl1_26),
% 7.33/1.30 inference(forward_demodulation,[],[f844,f1326])).
% 7.33/1.30 thf(f1385,plain,(
% 7.33/1.30 ~spl1_10),
% 7.33/1.30 inference(avatar_contradiction_clause,[],[f1384])).
% 7.33/1.30 thf(f1384,plain,(
% 7.33/1.30 $false | ~spl1_10),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1383])).
% 7.33/1.30 thf(f1383,plain,(
% 7.33/1.30 ($false = $true) | ~spl1_10),
% 7.33/1.30 inference(backward_demodulation,[],[f846,f1029])).
% 7.33/1.30 thf(f1029,plain,(
% 7.33/1.30 ((in @ (ordsucc @ emptyset) @ nat) = $false) | ~spl1_10),
% 7.33/1.30 inference(avatar_component_clause,[],[f1027])).
% 7.33/1.30 thf(f1027,plain,(
% 7.33/1.30 spl1_10 <=> ((in @ (ordsucc @ emptyset) @ nat) = $false)),
% 7.33/1.30 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
% 7.33/1.30 thf(f846,plain,(
% 7.33/1.30 ((in @ (ordsucc @ emptyset) @ nat) = $true)),
% 7.33/1.30 inference(beta_eta_normalization,[],[f640])).
% 7.33/1.30 thf(f640,plain,(
% 7.33/1.30 ($true = ((^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))) @ (ordsucc @ emptyset) @ (^[Y0 : $i]: (in @ Y0 @ nat))))),
% 7.33/1.30 inference(definition_unfolding,[],[f591,f564,f593])).
% 7.33/1.30 thf(f593,plain,(
% 7.33/1.30 ((ordsucc @ emptyset) = n_1)),
% 7.33/1.30 inference(cnf_transformation,[],[f163])).
% 7.33/1.30 thf(f163,axiom,(
% 7.33/1.30 ((ordsucc @ emptyset) = n_1)),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_n_1)).
% 7.33/1.30 thf(f591,plain,(
% 7.33/1.30 ((is_of @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $true)),
% 7.33/1.30 inference(cnf_transformation,[],[f228])).
% 7.33/1.30 thf(f228,plain,(
% 7.33/1.30 ((is_of @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $true)),
% 7.33/1.30 inference(fool_elimination,[],[f227])).
% 7.33/1.30 thf(f227,plain,(
% 7.33/1.30 (is_of @ n_1 @ (^[X0 : $i] : (in @ X0 @ nat)))),
% 7.33/1.30 inference(rectify,[],[f164])).
% 7.33/1.30 thf(f164,axiom,(
% 7.33/1.30 (is_of @ n_1 @ (^[X0 : $i] : (in @ X0 @ nat)))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',n_1_p)).
% 7.33/1.30 thf(f1334,plain,(
% 7.33/1.30 spl1_20 | ~spl1_15 | ~spl1_25),
% 7.33/1.30 inference(avatar_split_clause,[],[f1332,f1310,f1169,f1191])).
% 7.33/1.30 thf(f1169,plain,(
% 7.33/1.30 spl1_15 <=> ((l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))) = $true)),
% 7.33/1.30 introduced(avatar_definition,[new_symbols(naming,[spl1_15])])).
% 7.33/1.30 thf(f1332,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | (~spl1_15 | ~spl1_25)),
% 7.33/1.30 inference(boolean_simplification,[],[f1331])).
% 7.33/1.30 thf(f1331,plain,(
% 7.33/1.30 ((d_not @ ((d_not @ $true) => $true)) = $false) | (~spl1_15 | ~spl1_25)),
% 7.33/1.30 inference(backward_demodulation,[],[f1203,f1312])).
% 7.33/1.30 thf(f1312,plain,(
% 7.33/1.30 ((n_is @ sK2 @ sK3) = $true) | ~spl1_25),
% 7.33/1.30 inference(avatar_component_clause,[],[f1310])).
% 7.33/1.30 thf(f1203,plain,(
% 7.33/1.30 ((d_not @ ((d_not @ $true) => (n_is @ sK2 @ sK3))) = $false) | ~spl1_15),
% 7.33/1.30 inference(backward_demodulation,[],[f844,f1171])).
% 7.33/1.30 thf(f1171,plain,(
% 7.33/1.30 ((l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))) = $true) | ~spl1_15),
% 7.33/1.30 inference(avatar_component_clause,[],[f1169])).
% 7.33/1.30 thf(f1333,plain,(
% 7.33/1.30 spl1_20 | ~spl1_16 | ~spl1_25),
% 7.33/1.30 inference(avatar_split_clause,[],[f1329,f1310,f1173,f1191])).
% 7.33/1.30 thf(f1173,plain,(
% 7.33/1.30 spl1_16 <=> ($false = (d_not @ (n_is @ sK2 @ sK3)))),
% 7.33/1.30 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
% 7.33/1.30 thf(f1329,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | (~spl1_16 | ~spl1_25)),
% 7.33/1.30 inference(backward_demodulation,[],[f1175,f1312])).
% 7.33/1.30 thf(f1175,plain,(
% 7.33/1.30 ($false = (d_not @ (n_is @ sK2 @ sK3))) | ~spl1_16),
% 7.33/1.30 inference(avatar_component_clause,[],[f1173])).
% 7.33/1.30 thf(f1327,plain,(
% 7.33/1.30 spl1_8 | spl1_26),
% 7.33/1.30 inference(avatar_split_clause,[],[f1322,f1324,f1019])).
% 7.33/1.30 thf(f1322,plain,(
% 7.33/1.30 ((d_not @ $true) = $true) | ((n_is @ sK2 @ sK3) = $false)),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1321])).
% 7.33/1.30 thf(f1321,plain,(
% 7.33/1.30 ($false = $true) | ((n_is @ sK2 @ sK3) = $false) | ((d_not @ $true) = $true)),
% 7.33/1.30 inference(forward_demodulation,[],[f1320,f843])).
% 7.33/1.30 thf(f1320,plain,(
% 7.33/1.30 ($false = (in @ sK3 @ nat)) | ((n_is @ sK2 @ sK3) = $false) | ((d_not @ $true) = $true)),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1319])).
% 7.33/1.30 thf(f1319,plain,(
% 7.33/1.30 ((d_not @ $true) = $true) | ($false = (in @ sK3 @ nat)) | ($false = $true) | ((n_is @ sK2 @ sK3) = $false)),
% 7.33/1.30 inference(forward_demodulation,[],[f1254,f839])).
% 7.33/1.30 thf(f1254,plain,(
% 7.33/1.30 ((d_not @ $true) = $true) | ((in @ sK2 @ nat) = $false) | ((n_is @ sK2 @ sK3) = $false) | ($false = (in @ sK3 @ nat))),
% 7.33/1.30 inference(superposition,[],[f705,f845])).
% 7.33/1.30 thf(f705,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) = $true) | ((in @ X1 @ nat) = $false) | ((n_is @ X1 @ X2) = $false) | ((in @ X2 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f704])).
% 7.33/1.30 thf(f704,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))) => (n_is @ X1 @ X2)) = $false) | ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f703])).
% 7.33/1.30 thf(f703,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))) => (n_is @ X1 @ X2)) => (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0)))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f702])).
% 7.33/1.30 thf(f702,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ nat) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))) => (n_is @ X1 @ X2)) => (d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f701])).
% 7.33/1.30 thf(f701,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1))))) => (n_is @ X1 @ Y0)) => (d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1)))))))) @ X2))) )),
% 7.33/1.30 inference(pi_clausification,[],[f700])).
% 7.33/1.30 thf(f700,plain,(
% 7.33/1.30 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1))))) => (n_is @ X1 @ Y0)) => (d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1)))))))))) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f699])).
% 7.33/1.30 thf(f699,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1))))) => (n_is @ X1 @ Y0)) => (d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1)))))))))) = $true)) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f698])).
% 7.33/1.30 thf(f698,plain,(
% 7.33/1.30 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y1 @ (n_pl @ Y0 @ Y2))))) => (n_is @ Y0 @ Y1)) => (d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))))) @ X1))) )),
% 7.33/1.30 inference(pi_clausification,[],[f697])).
% 7.33/1.30 thf(f697,plain,(
% 7.33/1.30 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y1 @ (n_pl @ Y0 @ Y2))))) => (n_is @ Y0 @ Y1)) => (d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2)))))))))))) = $true)),
% 7.33/1.30 inference(beta_eta_normalization,[],[f637])).
% 7.33/1.30 thf(f637,plain,(
% 7.33/1.30 (((^[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]: (((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (n_is @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1) => (d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (n_is @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y0 @ Y1))))))) = $true)),
% 7.33/1.30 inference(definition_unfolding,[],[f585,f612,f612,f617,f613])).
% 7.33/1.30 thf(f585,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((lessis @ Y0 @ Y1) => (d_not @ (d_29_ii @ Y0 @ Y1))))))) = $true)),
% 7.33/1.30 inference(cnf_transformation,[],[f386])).
% 7.33/1.30 thf(f386,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((lessis @ Y0 @ Y1) => (d_not @ (d_29_ii @ Y0 @ Y1))))))) = $true)),
% 7.33/1.30 inference(fool_elimination,[],[f385])).
% 7.33/1.30 thf(f385,plain,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((lessis @ X1 @ X3) => (d_not @ (d_29_ii @ X1 @ X3)))))))),
% 7.33/1.30 inference(rectify,[],[f221])).
% 7.33/1.30 thf(f221,axiom,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((lessis @ X0 @ X1) => (d_not @ (d_29_ii @ X0 @ X1)))))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',satz10d)).
% 7.33/1.30 thf(f1194,plain,(
% 7.33/1.30 spl1_15 | spl1_20 | spl1_16),
% 7.33/1.30 inference(avatar_split_clause,[],[f1165,f1173,f1191,f1169])).
% 7.33/1.30 thf(f1165,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | ((l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))) = $true) | ($false = (d_not @ (n_is @ sK2 @ sK3)))),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1164])).
% 7.33/1.30 thf(f1164,plain,(
% 7.33/1.30 ((d_not @ $true) = $false) | ((l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))) = $true) | ($false = (d_not @ (n_is @ sK2 @ sK3))) | ($false = $true)),
% 7.33/1.30 inference(forward_demodulation,[],[f1163,f839])).
% 7.33/1.30 thf(f1163,plain,(
% 7.33/1.30 ((l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))) = $true) | ((in @ sK2 @ nat) = $false) | ((d_not @ $true) = $false) | ($false = (d_not @ (n_is @ sK2 @ sK3)))),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1162])).
% 7.33/1.30 thf(f1162,plain,(
% 7.33/1.30 ((l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))) = $true) | ((d_not @ $true) = $false) | ($false = (d_not @ (n_is @ sK2 @ sK3))) | ($false = $true) | ((in @ sK2 @ nat) = $false)),
% 7.33/1.30 inference(forward_demodulation,[],[f1159,f843])).
% 7.33/1.30 thf(f1159,plain,(
% 7.33/1.30 ($false = (in @ sK3 @ nat)) | ((d_not @ $true) = $false) | ((l_some @ nat @ (^[Y0 : $i]: (n_is @ sK3 @ (n_pl @ sK2 @ Y0)))) = $true) | ($false = (d_not @ (n_is @ sK2 @ sK3))) | ((in @ sK2 @ nat) = $false)),
% 7.33/1.30 inference(superposition,[],[f779,f845])).
% 7.33/1.30 thf(f779,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) = $false) | ((l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0)))) = $true) | ((in @ X1 @ nat) = $false) | ((d_not @ (n_is @ X1 @ X2)) = $false) | ((in @ X2 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f778])).
% 7.33/1.30 thf(f778,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : ((((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) => (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0))))) = $true) | ((in @ X1 @ nat) = $false) | ((d_not @ (n_is @ X1 @ X2)) = $false) | ((in @ X2 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f777])).
% 7.33/1.30 thf(f777,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ($true = ((d_not @ (n_is @ X1 @ X2)) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) => (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0)))))))) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f776])).
% 7.33/1.30 thf(f776,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => ((d_not @ (n_is @ X1 @ X2)) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (n_is @ X1 @ (n_pl @ X2 @ Y0))))) => (l_some @ nat @ (^[Y0 : $i]: (n_is @ X2 @ (n_pl @ X1 @ Y0)))))))) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f775])).
% 7.33/1.30 thf(f775,plain,(
% 7.33/1.30 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (n_is @ X1 @ Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1))))) => (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1)))))))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(pi_clausification,[],[f774])).
% 7.33/1.30 thf(f774,plain,(
% 7.33/1.30 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (n_is @ X1 @ Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1))))) => (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1))))))))))) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f773])).
% 7.33/1.30 thf(f773,plain,(
% 7.33/1.30 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (n_is @ X1 @ Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (n_is @ X1 @ (n_pl @ Y0 @ Y1))))) => (l_some @ nat @ (^[Y1 : $i]: (n_is @ Y0 @ (n_pl @ X1 @ Y1)))))))))))) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f772])).
% 7.33/1.30 thf(f772,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ (n_is @ Y0 @ Y1)) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))) => (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y1 @ (n_pl @ Y0 @ Y2))))))))))) @ X1) = $true)) )),
% 7.33/1.30 inference(pi_clausification,[],[f771])).
% 7.33/1.30 thf(f771,plain,(
% 7.33/1.30 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ (n_is @ Y0 @ Y1)) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))) => (l_some @ nat @ (^[Y2 : $i]: (n_is @ Y1 @ (n_pl @ Y0 @ Y2)))))))))))) = $true)),
% 7.33/1.30 inference(beta_eta_normalization,[],[f635])).
% 7.33/1.30 thf(f635,plain,(
% 7.33/1.30 ($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]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ Y2 @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ Y3 @ Y4))))))) @ (n_is @ Y0 @ Y1) @ (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (n_is @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y0 @ Y1)) @ (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (n_is @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y1 @ Y0))))))))),
% 7.33/1.30 inference(definition_unfolding,[],[f582,f612,f612,f618,f590,f594,f590,f594])).
% 7.33/1.30 thf(f618,plain,(
% 7.33/1.30 (or3 = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ (d_not @ Y3))) @ Y0 @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ (d_not @ Y3))) @ Y1 @ Y2))))))))),
% 7.33/1.30 inference(definition_unfolding,[],[f562,f615,f615])).
% 7.33/1.30 thf(f562,plain,(
% 7.33/1.30 (or3 = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (l_or @ Y0 @ (l_or @ Y1 @ Y2))))))))),
% 7.33/1.30 inference(cnf_transformation,[],[f378])).
% 7.33/1.30 thf(f378,plain,(
% 7.33/1.30 (or3 = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (l_or @ Y0 @ (l_or @ Y1 @ Y2))))))))),
% 7.33/1.30 inference(fool_elimination,[],[f87])).
% 7.33/1.30 thf(f87,axiom,(
% 7.33/1.30 ((^[X0 : $o, X1 : $o, X2 : $o] : (l_or @ X0 @ (l_or @ X1 @ X2))) = or3)),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',def_or3)).
% 7.33/1.30 thf(f582,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (or3 @ (n_is @ Y0 @ Y1) @ (n_some @ (diffprop @ Y0 @ Y1)) @ (n_some @ (diffprop @ Y1 @ Y0))))))) = $true)),
% 7.33/1.30 inference(cnf_transformation,[],[f475])).
% 7.33/1.30 thf(f475,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (or3 @ (n_is @ Y0 @ Y1) @ (n_some @ (diffprop @ Y0 @ Y1)) @ (n_some @ (diffprop @ Y1 @ Y0))))))) = $true)),
% 7.33/1.30 inference(fool_elimination,[],[f474])).
% 7.33/1.30 thf(f474,plain,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (or3 @ (n_is @ X1 @ X3) @ (n_some @ (diffprop @ X1 @ X3)) @ (n_some @ (diffprop @ X3 @ X1)))))))),
% 7.33/1.30 inference(rectify,[],[f209])).
% 7.33/1.30 thf(f209,axiom,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (or3 @ (n_is @ X0 @ X1) @ (n_some @ (diffprop @ X0 @ X1)) @ (n_some @ (diffprop @ X1 @ X0)))))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',satz9a)).
% 7.33/1.30 thf(f1189,plain,(
% 7.33/1.30 spl1_8 | spl1_10 | ~spl1_11),
% 7.33/1.30 inference(avatar_split_clause,[],[f1084,f1036,f1027,f1019])).
% 7.33/1.30 thf(f1084,plain,(
% 7.33/1.30 ((in @ (ordsucc @ emptyset) @ nat) = $false) | ((d_not @ $true) = $true) | ~spl1_11),
% 7.33/1.30 inference(duplicate_literal_removal,[],[f1077])).
% 7.33/1.30 thf(f1077,plain,(
% 7.33/1.30 ((in @ (ordsucc @ emptyset) @ nat) = $false) | ((in @ (ordsucc @ emptyset) @ nat) = $false) | ((d_not @ $true) = $true) | ~spl1_11),
% 7.33/1.30 inference(superposition,[],[f880,f1073])).
% 7.33/1.30 thf(f1073,plain,(
% 7.33/1.30 ( ! [X0 : $i] : (((n_is @ (ordsucc @ X0) @ X0) = $true) | ((in @ X0 @ nat) = $false)) ) | ~spl1_11),
% 7.33/1.30 inference(trivial_inequality_removal,[],[f1072])).
% 7.33/1.30 thf(f1072,plain,(
% 7.33/1.30 ( ! [X0 : $i] : (((n_is @ (ordsucc @ X0) @ X0) = $true) | ($false = $true) | ((in @ X0 @ nat) = $false)) ) | ~spl1_11),
% 7.33/1.30 inference(duplicate_literal_removal,[],[f1065])).
% 7.33/1.30 thf(f1065,plain,(
% 7.33/1.30 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false = $true) | ((in @ X0 @ nat) = $false) | ((n_is @ (ordsucc @ X0) @ X0) = $true)) ) | ~spl1_11),
% 7.33/1.30 inference(superposition,[],[f1037,f673])).
% 7.33/1.30 thf(f673,plain,(
% 7.33/1.30 ( ! [X1 : $i] : (($true = (in @ (ordsucc @ X1) @ nat)) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f672])).
% 7.33/1.30 thf(f672,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (in @ (ordsucc @ X1) @ nat)) = $true)) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f671])).
% 7.33/1.30 thf(f671,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (in @ (ordsucc @ Y0) @ nat))) @ X1) = $true)) )),
% 7.33/1.30 inference(pi_clausification,[],[f670])).
% 7.33/1.30 thf(f670,plain,(
% 7.33/1.30 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (in @ (ordsucc @ Y0) @ nat)))) = $true)),
% 7.33/1.30 inference(beta_eta_normalization,[],[f636])).
% 7.33/1.30 thf(f636,plain,(
% 7.33/1.30 (((^[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 > $o]: (Y2 @ Y1)))) @ (ordsucc @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ nat))))) = $true)),
% 7.33/1.30 inference(definition_unfolding,[],[f584,f612,f564])).
% 7.33/1.30 thf(f584,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (is_of @ (ordsucc @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ nat))))) = $true)),
% 7.33/1.30 inference(cnf_transformation,[],[f483])).
% 7.33/1.30 thf(f483,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (is_of @ (ordsucc @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ nat))))) = $true)),
% 7.33/1.30 inference(fool_elimination,[],[f482])).
% 7.33/1.30 thf(f482,plain,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (is_of @ (ordsucc @ X1) @ (^[X2 : $i] : (in @ X2 @ nat)))))),
% 7.33/1.30 inference(rectify,[],[f165])).
% 7.33/1.30 thf(f165,axiom,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (is_of @ (ordsucc @ X0) @ (^[X1 : $i] : (in @ X1 @ nat)))))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',suc_p)).
% 7.33/1.30 thf(f1037,plain,(
% 7.33/1.30 ( ! [X0 : $i] : (($false = (in @ (ordsucc @ X0) @ nat)) | ((n_is @ (ordsucc @ X0) @ X0) = $true) | ((in @ X0 @ nat) = $false)) ) | ~spl1_11),
% 7.33/1.30 inference(avatar_component_clause,[],[f1036])).
% 7.33/1.30 thf(f880,plain,(
% 7.33/1.30 ( ! [X1 : $i] : (($true = (d_not @ (n_is @ (ordsucc @ X1) @ (ordsucc @ emptyset)))) | ((in @ X1 @ nat) = $false)) )),
% 7.33/1.30 inference(binary_proxy_clausification,[],[f879])).
% 7.33/1.30 thf(f879,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (d_not @ (n_is @ (ordsucc @ X1) @ (ordsucc @ emptyset)))) = $true)) )),
% 7.33/1.30 inference(beta_eta_normalization,[],[f878])).
% 7.33/1.30 thf(f878,plain,(
% 7.33/1.30 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (d_not @ (n_is @ (ordsucc @ Y0) @ (ordsucc @ emptyset))))) @ X1) = $true)) )),
% 7.33/1.30 inference(pi_clausification,[],[f877])).
% 7.33/1.30 thf(f877,plain,(
% 7.33/1.30 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (d_not @ (n_is @ (ordsucc @ Y0) @ (ordsucc @ emptyset)))))) = $true)),
% 7.33/1.30 inference(beta_eta_normalization,[],[f629])).
% 7.33/1.30 thf(f629,plain,(
% 7.33/1.30 (((^[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]: (d_not @ (n_is @ Y1 @ Y2))))) @ (ordsucc @ Y0) @ (ordsucc @ emptyset)))) = $true)),
% 7.33/1.30 inference(definition_unfolding,[],[f574,f612,f568,f593])).
% 7.33/1.30 thf(f574,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (nis @ (ordsucc @ Y0) @ n_1))) = $true)),
% 7.33/1.30 inference(cnf_transformation,[],[f530])).
% 7.33/1.30 thf(f530,plain,(
% 7.33/1.30 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (nis @ (ordsucc @ Y0) @ n_1))) = $true)),
% 7.33/1.30 inference(fool_elimination,[],[f529])).
% 7.33/1.30 thf(f529,plain,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (nis @ (ordsucc @ X1) @ n_1)))),
% 7.33/1.30 inference(rectify,[],[f166])).
% 7.33/1.30 thf(f166,axiom,(
% 7.33/1.30 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (nis @ (ordsucc @ X0) @ n_1)))),
% 7.33/1.30 file('/export/starexec/sandbox2/tmp/tmp.ODRhIBJfbE/Vampire---4.8_10332',n_ax3)).
% 7.33/1.30 % SZS output end Proof for Vampire---4
% 7.33/1.30 % (10679)------------------------------
% 7.33/1.30 % (10679)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.33/1.30 % (10679)Termination reason: Refutation
% 7.33/1.30
% 7.33/1.30 % (10679)Memory used [KB]: 7036
% 7.33/1.30 % (10679)Time elapsed: 0.110 s
% 7.33/1.30 % (10679)Instructions burned: 324 (million)
% 7.33/1.30 % (10679)------------------------------
% 7.33/1.30 % (10679)------------------------------
% 7.33/1.30 % (10540)Success in time 1.016 s
% 7.33/1.30 % Vampire---4.8 exiting
%------------------------------------------------------------------------------