TSTP Solution File: NUM694^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM694^4 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:14:29 EDT 2024
% Result : Theorem 1.43s 0.59s
% Output : Refutation 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM694^4 : TPTP v8.1.2. Released v7.1.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 15:06:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.If6Wmxngxk/Vampire---4.8_11925
% 0.22/0.40 % (12172)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.40 % (12166)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)
% 0.22/0.40 % (12167)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)
% 0.22/0.40 % (12168)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)
% 0.22/0.40 % (12169)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.40 % (12170)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)
% 0.22/0.40 % (12171)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.22/0.40 % (12173)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)
% 0.22/0.40 % (12169)Instruction limit reached!
% 0.22/0.40 % (12169)------------------------------
% 0.22/0.40 % (12169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12169)Termination reason: Unknown
% 0.22/0.40 % (12169)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (12169)Memory used [KB]: 1407
% 0.22/0.40 % (12169)Time elapsed: 0.004 s
% 0.22/0.40 % (12169)Instructions burned: 3 (million)
% 0.22/0.40 % (12169)------------------------------
% 0.22/0.40 % (12169)------------------------------
% 0.22/0.40 % (12170)Instruction limit reached!
% 0.22/0.40 % (12170)------------------------------
% 0.22/0.40 % (12170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12170)Termination reason: Unknown
% 0.22/0.40 % (12170)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (12170)Memory used [KB]: 1407
% 0.22/0.40 % (12170)Time elapsed: 0.004 s
% 0.22/0.40 % (12170)Instructions burned: 3 (million)
% 0.22/0.40 % (12170)------------------------------
% 0.22/0.40 % (12170)------------------------------
% 0.22/0.40 % (12173)Instruction limit reached!
% 0.22/0.40 % (12173)------------------------------
% 0.22/0.40 % (12173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12173)Termination reason: Unknown
% 0.22/0.40 % (12173)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (12173)Memory used [KB]: 1407
% 0.22/0.40 % (12173)Time elapsed: 0.004 s
% 0.22/0.40 % (12173)Instructions burned: 3 (million)
% 0.22/0.40 % (12173)------------------------------
% 0.22/0.40 % (12173)------------------------------
% 0.22/0.40 % (12167)Instruction limit reached!
% 0.22/0.40 % (12167)------------------------------
% 0.22/0.40 % (12167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12167)Termination reason: Unknown
% 0.22/0.40 % (12167)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (12167)Memory used [KB]: 1407
% 0.22/0.40 % (12167)Time elapsed: 0.005 s
% 0.22/0.40 % (12167)Instructions burned: 5 (million)
% 0.22/0.40 % (12167)------------------------------
% 0.22/0.40 % (12167)------------------------------
% 0.22/0.40 % (12172)Instruction limit reached!
% 0.22/0.40 % (12172)------------------------------
% 0.22/0.40 % (12172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (12172)Termination reason: Unknown
% 0.22/0.40 % (12172)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (12172)Memory used [KB]: 1663
% 0.22/0.40 % (12172)Time elapsed: 0.011 s
% 0.22/0.40 % (12172)Instructions burned: 18 (million)
% 0.22/0.40 % (12172)------------------------------
% 0.22/0.40 % (12172)------------------------------
% 0.22/0.41 % (12168)Instruction limit reached!
% 0.22/0.41 % (12168)------------------------------
% 0.22/0.41 % (12168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (12168)Termination reason: Unknown
% 0.22/0.41 % (12168)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (12168)Memory used [KB]: 1663
% 0.22/0.41 % (12168)Time elapsed: 0.017 s
% 0.22/0.41 % (12168)Instructions burned: 28 (million)
% 0.22/0.41 % (12168)------------------------------
% 0.22/0.41 % (12168)------------------------------
% 0.22/0.41 % (12174)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.22/0.41 % (12175)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.22/0.41 % (12176)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.41 % (12177)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.22/0.41 % (12176)Instruction limit reached!
% 0.22/0.41 % (12176)------------------------------
% 0.22/0.41 % (12176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (12176)Termination reason: Unknown
% 0.22/0.41 % (12176)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (12176)Memory used [KB]: 1407
% 0.22/0.41 % (12176)Time elapsed: 0.004 s
% 0.22/0.41 % (12176)Instructions burned: 4 (million)
% 0.22/0.41 % (12176)------------------------------
% 0.22/0.41 % (12176)------------------------------
% 0.22/0.42 % (12178)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.42 % (12175)Instruction limit reached!
% 0.22/0.42 % (12175)------------------------------
% 0.22/0.42 % (12175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (12175)Termination reason: Unknown
% 0.22/0.42 % (12175)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (12175)Memory used [KB]: 1535
% 0.22/0.42 % (12175)Time elapsed: 0.010 s
% 0.22/0.42 % (12175)Instructions burned: 15 (million)
% 0.22/0.42 % (12175)------------------------------
% 0.22/0.42 % (12175)------------------------------
% 0.22/0.42 % (12178)Instruction limit reached!
% 0.22/0.42 % (12178)------------------------------
% 0.22/0.42 % (12178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (12178)Termination reason: Unknown
% 0.22/0.42 % (12178)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (12178)Memory used [KB]: 1407
% 0.22/0.42 % (12178)Time elapsed: 0.006 s
% 0.22/0.42 % (12178)Instructions burned: 7 (million)
% 0.22/0.42 % (12178)------------------------------
% 0.22/0.42 % (12178)------------------------------
% 0.22/0.43 % (12179)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.22/0.43 % (12174)Instruction limit reached!
% 0.22/0.43 % (12174)------------------------------
% 0.22/0.43 % (12174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (12174)Termination reason: Unknown
% 0.22/0.43 % (12174)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (12174)Memory used [KB]: 1918
% 0.22/0.43 % (12174)Time elapsed: 0.022 s
% 0.22/0.43 % (12174)Instructions burned: 38 (million)
% 0.22/0.43 % (12174)------------------------------
% 0.22/0.43 % (12174)------------------------------
% 0.22/0.43 % (12180)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.43 % (12180)Instruction limit reached!
% 0.22/0.43 % (12180)------------------------------
% 0.22/0.43 % (12180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (12180)Termination reason: Unknown
% 0.22/0.43 % (12180)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (12180)Memory used [KB]: 1407
% 0.22/0.43 % (12180)Time elapsed: 0.004 s
% 0.22/0.43 % (12180)Instructions burned: 3 (million)
% 0.22/0.43 % (12180)------------------------------
% 0.22/0.43 % (12180)------------------------------
% 0.22/0.43 % (12171)Refutation not found, incomplete strategy
% 0.22/0.43 % (12171)------------------------------
% 0.22/0.43 % (12171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (12171)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (12171)Memory used [KB]: 6268
% 0.22/0.43 % (12171)Time elapsed: 0.041 s
% 0.22/0.43 % (12171)Instructions burned: 78 (million)
% 0.22/0.43 % (12171)------------------------------
% 0.22/0.43 % (12171)------------------------------
% 0.22/0.44 % (12179)Instruction limit reached!
% 0.22/0.44 % (12179)------------------------------
% 0.22/0.44 % (12179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (12179)Termination reason: Unknown
% 0.22/0.44 % (12179)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (12179)Memory used [KB]: 1535
% 0.22/0.44 % (12179)Time elapsed: 0.011 s
% 0.22/0.44 % (12179)Instructions burned: 16 (million)
% 0.22/0.44 % (12179)------------------------------
% 0.22/0.44 % (12179)------------------------------
% 0.22/0.44 % (12181)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.44 % (12183)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.44 % (12181)Instruction limit reached!
% 0.22/0.44 % (12181)------------------------------
% 0.22/0.44 % (12181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (12181)Termination reason: Unknown
% 0.22/0.44 % (12181)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (12181)Memory used [KB]: 1407
% 0.22/0.44 % (12181)Time elapsed: 0.004 s
% 0.22/0.44 % (12181)Instructions burned: 3 (million)
% 0.22/0.44 % (12181)------------------------------
% 0.22/0.44 % (12181)------------------------------
% 0.22/0.44 % (12183)Instruction limit reached!
% 0.22/0.44 % (12183)------------------------------
% 0.22/0.44 % (12183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (12183)Termination reason: Unknown
% 0.22/0.44 % (12183)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (12183)Memory used [KB]: 1407
% 0.22/0.44 % (12183)Time elapsed: 0.006 s
% 0.22/0.44 % (12183)Instructions burned: 8 (million)
% 0.22/0.44 % (12183)------------------------------
% 0.22/0.44 % (12183)------------------------------
% 0.22/0.45 % (12188)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.45 % (12188)Instruction limit reached!
% 0.22/0.45 % (12188)------------------------------
% 0.22/0.45 % (12188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (12188)Termination reason: Unknown
% 0.22/0.45 % (12188)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (12188)Memory used [KB]: 1407
% 0.22/0.45 % (12188)Time elapsed: 0.004 s
% 0.22/0.45 % (12188)Instructions burned: 4 (million)
% 0.22/0.45 % (12188)------------------------------
% 0.22/0.45 % (12188)------------------------------
% 0.22/0.45 % (12191)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.22/0.45 % (12190)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.45 % (12192)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.45 % (12189)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.45 % (12194)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.22/0.46 % (12192)Instruction limit reached!
% 0.22/0.46 % (12192)------------------------------
% 0.22/0.46 % (12192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (12192)Termination reason: Unknown
% 0.22/0.46 % (12192)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (12192)Memory used [KB]: 1407
% 0.22/0.46 % (12192)Time elapsed: 0.005 s
% 0.22/0.46 % (12192)Instructions burned: 6 (million)
% 0.22/0.46 % (12192)------------------------------
% 0.22/0.46 % (12192)------------------------------
% 0.22/0.46 % (12189)Instruction limit reached!
% 0.22/0.46 % (12189)------------------------------
% 0.22/0.46 % (12189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (12189)Termination reason: Unknown
% 0.22/0.46 % (12189)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (12189)Memory used [KB]: 1407
% 0.22/0.46 % (12189)Time elapsed: 0.004 s
% 0.22/0.46 % (12189)Instructions burned: 5 (million)
% 0.22/0.46 % (12189)------------------------------
% 0.22/0.46 % (12189)------------------------------
% 0.22/0.46 % (12190)Instruction limit reached!
% 0.22/0.46 % (12190)------------------------------
% 0.22/0.46 % (12190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (12190)Termination reason: Unknown
% 0.22/0.46 % (12190)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (12190)Memory used [KB]: 1663
% 0.22/0.46 % (12190)Time elapsed: 0.013 s
% 0.22/0.46 % (12190)Instructions burned: 19 (million)
% 0.22/0.46 % (12190)------------------------------
% 0.22/0.46 % (12190)------------------------------
% 0.22/0.46 % (12166)Instruction limit reached!
% 0.22/0.46 % (12166)------------------------------
% 0.22/0.46 % (12166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (12166)Termination reason: Unknown
% 0.22/0.46 % (12166)Termination phase: Function definition elimination
% 0.22/0.46
% 0.22/0.46 % (12166)Memory used [KB]: 2046
% 0.22/0.46 % (12166)Time elapsed: 0.070 s
% 0.22/0.46 % (12166)Instructions burned: 184 (million)
% 0.22/0.46 % (12166)------------------------------
% 0.22/0.46 % (12166)------------------------------
% 0.22/0.46 % (12196)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.22/0.47 % (12200)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.47 % (12199)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.47 % (12200)Instruction limit reached!
% 0.22/0.47 % (12200)------------------------------
% 0.22/0.47 % (12200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (12200)Termination reason: Unknown
% 0.22/0.47 % (12200)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (12200)Memory used [KB]: 1407
% 0.22/0.47 % (12200)Time elapsed: 0.004 s
% 0.22/0.47 % (12200)Instructions burned: 6 (million)
% 0.22/0.47 % (12200)------------------------------
% 0.22/0.47 % (12200)------------------------------
% 0.22/0.47 % (12199)Instruction limit reached!
% 0.22/0.47 % (12199)------------------------------
% 0.22/0.47 % (12199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (12199)Termination reason: Unknown
% 0.22/0.47 % (12199)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (12199)Memory used [KB]: 1407
% 0.22/0.47 % (12199)Time elapsed: 0.006 s
% 0.22/0.47 % (12199)Instructions burned: 6 (million)
% 0.22/0.47 % (12199)------------------------------
% 0.22/0.47 % (12199)------------------------------
% 0.22/0.48 % (12196)Instruction limit reached!
% 0.22/0.48 % (12196)------------------------------
% 0.22/0.48 % (12196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (12196)Termination reason: Unknown
% 0.22/0.48 % (12196)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (12196)Memory used [KB]: 1663
% 0.22/0.48 % (12196)Time elapsed: 0.015 s
% 0.22/0.48 % (12196)Instructions burned: 22 (million)
% 0.22/0.48 % (12196)------------------------------
% 0.22/0.48 % (12196)------------------------------
% 0.22/0.48 % (12203)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.22/0.48 % (12210)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 (2998ds/19Mi)
% 0.22/0.48 % (12205)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.22/0.49 % (12210)Instruction limit reached!
% 0.22/0.49 % (12210)------------------------------
% 0.22/0.49 % (12210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (12210)Termination reason: Unknown
% 0.22/0.49 % (12210)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (12210)Memory used [KB]: 1663
% 0.22/0.49 % (12210)Time elapsed: 0.008 s
% 0.22/0.49 % (12210)Instructions burned: 21 (million)
% 0.22/0.49 % (12210)------------------------------
% 0.22/0.49 % (12210)------------------------------
% 0.22/0.49 % (12214)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 (2998ds/879Mi)
% 0.22/0.49 % (12218)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.22/0.50 % (12223)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.22/0.50 % (12223)Instruction limit reached!
% 0.22/0.50 % (12223)------------------------------
% 0.22/0.50 % (12223)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (12223)Termination reason: Unknown
% 0.22/0.50 % (12223)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (12223)Memory used [KB]: 1407
% 0.22/0.50 % (12223)Time elapsed: 0.003 s
% 0.22/0.50 % (12223)Instructions burned: 5 (million)
% 0.22/0.50 % (12223)------------------------------
% 0.22/0.50 % (12223)------------------------------
% 0.22/0.50 % (12218)Instruction limit reached!
% 0.22/0.50 % (12218)------------------------------
% 0.22/0.50 % (12218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (12218)Termination reason: Unknown
% 0.22/0.50 % (12218)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (12218)Memory used [KB]: 1535
% 0.22/0.50 % (12218)Time elapsed: 0.012 s
% 0.22/0.50 % (12218)Instructions burned: 17 (million)
% 0.22/0.50 % (12218)------------------------------
% 0.22/0.50 % (12218)------------------------------
% 0.22/0.50 % (12194)Refutation not found, incomplete strategy
% 0.22/0.50 % (12194)------------------------------
% 0.22/0.50 % (12194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (12194)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (12194)Memory used [KB]: 6652
% 0.22/0.50 % (12194)Time elapsed: 0.050 s
% 0.22/0.50 % (12194)Instructions burned: 105 (million)
% 0.22/0.50 % (12194)------------------------------
% 0.22/0.50 % (12194)------------------------------
% 0.22/0.51 % (12231)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.22/0.51 % (12233)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.22/0.51 % (12237)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 (2998ds/100Mi)
% 0.22/0.52 % (12231)Instruction limit reached!
% 0.22/0.52 % (12231)------------------------------
% 0.22/0.52 % (12231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (12231)Termination reason: Unknown
% 0.22/0.52 % (12231)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (12231)Memory used [KB]: 1791
% 0.22/0.52 % (12231)Time elapsed: 0.011 s
% 0.22/0.52 % (12231)Instructions burned: 31 (million)
% 0.22/0.52 % (12231)------------------------------
% 0.22/0.52 % (12231)------------------------------
% 0.22/0.52 % (12214)Refutation not found, incomplete strategy
% 0.22/0.52 % (12214)------------------------------
% 0.22/0.52 % (12214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (12214)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.52
% 0.22/0.52
% 0.22/0.52 % (12214)Memory used [KB]: 6524
% 0.22/0.52 % (12214)Time elapsed: 0.033 s
% 0.22/0.52 % (12214)Instructions burned: 88 (million)
% 0.22/0.52 % (12214)------------------------------
% 0.22/0.52 % (12214)------------------------------
% 1.32/0.53 % (12253)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 (2998ds/20Mi)
% 1.32/0.53 % (12252)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 (2998ds/3Mi)
% 1.32/0.53 % (12252)Instruction limit reached!
% 1.32/0.53 % (12252)------------------------------
% 1.32/0.53 % (12252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.53 % (12252)Termination reason: Unknown
% 1.32/0.53 % (12252)Termination phase: shuffling
% 1.32/0.53
% 1.32/0.53 % (12252)Memory used [KB]: 1407
% 1.32/0.53 % (12252)Time elapsed: 0.003 s
% 1.32/0.53 % (12252)Instructions burned: 5 (million)
% 1.32/0.53 % (12252)------------------------------
% 1.32/0.53 % (12252)------------------------------
% 1.32/0.54 % (12253)Instruction limit reached!
% 1.32/0.54 % (12253)------------------------------
% 1.32/0.54 % (12253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.54 % (12253)Termination reason: Unknown
% 1.32/0.54 % (12253)Termination phase: shuffling
% 1.32/0.54
% 1.32/0.54 % (12253)Memory used [KB]: 1663
% 1.32/0.54 % (12253)Time elapsed: 0.008 s
% 1.32/0.54 % (12253)Instructions burned: 21 (million)
% 1.32/0.54 % (12253)------------------------------
% 1.32/0.54 % (12253)------------------------------
% 1.32/0.54 % (12267)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)
% 1.32/0.54 % (12233)Instruction limit reached!
% 1.32/0.54 % (12233)------------------------------
% 1.32/0.54 % (12233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.54 % (12233)Termination reason: Unknown
% 1.32/0.54 % (12233)Termination phase: Function definition elimination
% 1.32/0.54
% 1.32/0.54 % (12233)Memory used [KB]: 2046
% 1.32/0.54 % (12233)Time elapsed: 0.032 s
% 1.32/0.54 % (12233)Instructions burned: 130 (million)
% 1.32/0.54 % (12233)------------------------------
% 1.32/0.54 % (12233)------------------------------
% 1.32/0.54 % (12271)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)
% 1.43/0.55 % (12237)Instruction limit reached!
% 1.43/0.55 % (12237)------------------------------
% 1.43/0.55 % (12237)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/0.55 % (12237)Termination reason: Unknown
% 1.43/0.55 % (12237)Termination phase: Function definition elimination
% 1.43/0.55
% 1.43/0.55 % (12237)Memory used [KB]: 2046
% 1.43/0.55 % (12237)Time elapsed: 0.028 s
% 1.43/0.55 % (12237)Instructions burned: 105 (million)
% 1.43/0.55 % (12237)------------------------------
% 1.43/0.55 % (12237)------------------------------
% 1.43/0.55 % (12274)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)
% 1.43/0.55 % (12203)Instruction limit reached!
% 1.43/0.55 % (12203)------------------------------
% 1.43/0.55 % (12203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/0.55 % (12203)Termination reason: Unknown
% 1.43/0.55 % (12203)Termination phase: Function definition elimination
% 1.43/0.55
% 1.43/0.55 % (12203)Memory used [KB]: 2174
% 1.43/0.55 % (12203)Time elapsed: 0.077 s
% 1.43/0.55 % (12203)Instructions burned: 383 (million)
% 1.43/0.55 % (12203)------------------------------
% 1.43/0.55 % (12203)------------------------------
% 1.43/0.56 % (12276)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)
% 1.43/0.56 % (12279)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)
% 1.43/0.56 % (12274)Instruction limit reached!
% 1.43/0.56 % (12274)------------------------------
% 1.43/0.56 % (12274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/0.56 % (12274)Termination reason: Unknown
% 1.43/0.56 % (12274)Termination phase: Property scanning
% 1.43/0.56
% 1.43/0.56 % (12274)Memory used [KB]: 1918
% 1.43/0.56 % (12274)Time elapsed: 0.013 s
% 1.43/0.56 % (12274)Instructions burned: 40 (million)
% 1.43/0.56 % (12274)------------------------------
% 1.43/0.56 % (12274)------------------------------
% 1.43/0.57 % (12267)Instruction limit reached!
% 1.43/0.57 % (12267)------------------------------
% 1.43/0.57 % (12267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/0.57 % (12267)Termination reason: Unknown
% 1.43/0.57 % (12267)Termination phase: Function definition elimination
% 1.43/0.57
% 1.43/0.57 % (12267)Memory used [KB]: 2046
% 1.43/0.57 % (12267)Time elapsed: 0.025 s
% 1.43/0.57 % (12267)Instructions burned: 90 (million)
% 1.43/0.57 % (12267)------------------------------
% 1.43/0.57 % (12267)------------------------------
% 1.43/0.57 % (12280)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 (2997ds/98Mi)
% 1.43/0.57 % (12281)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 (2997ds/507Mi)
% 1.43/0.58 % (12279)Instruction limit reached!
% 1.43/0.58 % (12279)------------------------------
% 1.43/0.58 % (12279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/0.58 % (12279)Termination reason: Unknown
% 1.43/0.58 % (12279)Termination phase: Property scanning
% 1.43/0.58
% 1.43/0.58 % (12279)Memory used [KB]: 1791
% 1.43/0.58 % (12279)Time elapsed: 0.015 s
% 1.43/0.58 % (12279)Instructions burned: 48 (million)
% 1.43/0.58 % (12279)------------------------------
% 1.43/0.58 % (12279)------------------------------
% 1.43/0.58 % (12282)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 (2997ds/149Mi)
% 1.43/0.59 % (12205)First to succeed.
% 1.43/0.59 % (12205)Refutation found. Thanks to Tanya!
% 1.43/0.59 % SZS status Theorem for Vampire---4
% 1.43/0.59 % SZS output start Proof for Vampire---4
% 1.43/0.59 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 1.43/0.59 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 1.43/0.59 thf(func_def_3, type, eps: ($i > $o) > $i).
% 1.43/0.59 thf(func_def_4, type, in: $i > $i > $o).
% 1.43/0.59 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 1.43/0.59 thf(func_def_7, type, union: $i > $i).
% 1.43/0.59 thf(func_def_8, type, power: $i > $i).
% 1.43/0.59 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 1.43/0.59 thf(func_def_10, type, d_Union_closed: $i > $o).
% 1.43/0.59 thf(func_def_11, type, d_Power_closed: $i > $o).
% 1.43/0.59 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 1.43/0.59 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 1.43/0.59 thf(func_def_14, type, univof: $i > $i).
% 1.43/0.59 thf(func_def_15, type, if: $o > $i > $i > $i).
% 1.43/0.59 thf(func_def_16, type, nIn: $i > $i > $o).
% 1.43/0.59 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 1.43/0.59 thf(func_def_18, type, d_Sing: $i > $i).
% 1.43/0.59 thf(func_def_19, type, binunion: $i > $i > $i).
% 1.43/0.59 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 1.43/0.59 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 1.43/0.59 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 1.43/0.59 thf(func_def_23, type, setminus: $i > $i > $i).
% 1.43/0.59 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 1.43/0.59 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 1.43/0.59 thf(func_def_26, type, ordsucc: $i > $i).
% 1.43/0.59 thf(func_def_27, type, nat_p: $i > $o).
% 1.43/0.59 thf(func_def_29, type, d_Inj1: $i > $i).
% 1.43/0.59 thf(func_def_30, type, d_Inj0: $i > $i).
% 1.43/0.59 thf(func_def_31, type, d_Unj: $i > $i).
% 1.43/0.59 thf(func_def_32, type, pair: $i > $i > $i).
% 1.43/0.59 thf(func_def_33, type, proj0: $i > $i).
% 1.43/0.59 thf(func_def_34, type, proj1: $i > $i).
% 1.43/0.59 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 1.43/0.59 thf(func_def_36, type, setprod: $i > $i > $i).
% 1.43/0.59 thf(func_def_37, type, ap: $i > $i > $i).
% 1.43/0.59 thf(func_def_38, type, pair_p: $i > $o).
% 1.43/0.59 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 1.43/0.59 thf(func_def_40, type, imp: $o > $o > $o).
% 1.43/0.59 thf(func_def_41, type, d_not: $o > $o).
% 1.43/0.59 thf(func_def_42, type, wel: $o > $o).
% 1.43/0.59 thf(func_def_44, type, l_ec: $o > $o > $o).
% 1.43/0.59 thf(func_def_45, type, d_and: $o > $o > $o).
% 1.43/0.59 thf(func_def_46, type, l_or: $o > $o > $o).
% 1.43/0.59 thf(func_def_47, type, orec: $o > $o > $o).
% 1.43/0.59 thf(func_def_48, type, l_iff: $o > $o > $o).
% 1.43/0.59 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 1.43/0.59 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 1.43/0.59 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 1.43/0.59 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 1.43/0.59 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 1.43/0.59 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 1.43/0.59 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 1.43/0.59 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 1.43/0.59 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 1.43/0.59 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 1.43/0.59 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 1.43/0.59 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 1.43/0.59 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_72, type, first: $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_73, type, second: $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_80, type, r_ec: $o > $o > $o).
% 1.43/0.59 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_82, type, empty: $i > $i > $o).
% 1.43/0.59 thf(func_def_83, type, nonempty: $i > $i > $o).
% 1.43/0.59 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 1.43/0.59 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 1.43/0.59 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 1.43/0.59 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 1.43/0.59 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 1.43/0.59 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 1.43/0.59 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 1.43/0.59 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 1.43/0.59 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 1.43/0.59 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 1.43/0.59 thf(func_def_103, type, n_is: $i > $i > $o).
% 1.43/0.59 thf(func_def_104, type, nis: $i > $i > $o).
% 1.43/0.59 thf(func_def_105, type, n_in: $i > $i > $o).
% 1.43/0.59 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 1.43/0.59 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 1.43/0.59 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 1.43/0.59 thf(func_def_110, type, cond1: $i > $o).
% 1.43/0.59 thf(func_def_111, type, cond2: $i > $o).
% 1.43/0.59 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 1.43/0.59 thf(func_def_113, type, d_22_prop1: $i > $o).
% 1.43/0.59 thf(func_def_114, type, d_23_prop1: $i > $o).
% 1.43/0.59 thf(func_def_115, type, d_24_prop1: $i > $o).
% 1.43/0.59 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 1.43/0.59 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_118, type, prop4: $i > $o).
% 1.43/0.59 thf(func_def_119, type, d_24_g: $i > $i).
% 1.43/0.59 thf(func_def_120, type, plus: $i > $i).
% 1.43/0.59 thf(func_def_121, type, n_pl: $i > $i > $i).
% 1.43/0.59 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 1.43/0.59 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 1.43/0.59 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 1.43/0.59 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 1.43/0.59 thf(func_def_128, type, iii: $i > $i > $o).
% 1.43/0.59 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 1.43/0.59 thf(func_def_130, type, moreis: $i > $i > $o).
% 1.43/0.59 thf(func_def_131, type, lessis: $i > $i > $o).
% 1.43/0.59 thf(func_def_152, type, sK1: ($i > $i) > ($i > $i) > $i > $i).
% 1.43/0.59 thf(func_def_153, type, sK2: ($i > $o) > $i).
% 1.43/0.59 thf(func_def_155, type, ph4: !>[X0: $tType]:(X0)).
% 1.43/0.59 thf(f2093,plain,(
% 1.43/0.59 $false),
% 1.43/0.59 inference(trivial_inequality_removal,[],[f2088])).
% 1.43/0.59 thf(f2088,plain,(
% 1.43/0.59 ($true = $false)),
% 1.43/0.59 inference(backward_demodulation,[],[f936,f2085])).
% 1.43/0.59 thf(f2085,plain,(
% 1.43/0.59 ((in @ (ordsucc @ emptyset) @ nat) = $false)),
% 1.43/0.59 inference(trivial_inequality_removal,[],[f2084])).
% 1.43/0.59 thf(f2084,plain,(
% 1.43/0.59 ($true = $false) | ((in @ (ordsucc @ emptyset) @ nat) = $false)),
% 1.43/0.59 inference(forward_demodulation,[],[f2083,f1707])).
% 1.43/0.59 thf(f1707,plain,(
% 1.43/0.59 ($true = (in @ sK3 @ nat))),
% 1.43/0.59 inference(binary_proxy_clausification,[],[f1705])).
% 1.43/0.59 thf(f1705,plain,(
% 1.43/0.59 ($false = ((in @ sK3 @ nat) => (lessis @ (ordsucc @ emptyset) @ sK3)))),
% 1.43/0.59 inference(beta_eta_normalization,[],[f1704])).
% 1.43/0.59 thf(f1704,plain,(
% 1.43/0.59 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (lessis @ (ordsucc @ emptyset) @ Y0))) @ sK3) = $false)),
% 1.43/0.59 inference(sigma_clausification,[],[f1703])).
% 1.43/0.59 thf(f1703,plain,(
% 1.43/0.59 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (lessis @ (ordsucc @ emptyset) @ Y0)))) = $false)),
% 1.43/0.59 inference(not_proxy_clausification,[],[f880])).
% 1.43/0.59 thf(f880,plain,(
% 1.43/0.59 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (lessis @ (ordsucc @ emptyset) @ Y0))))))),
% 1.43/0.59 inference(beta_eta_normalization,[],[f809])).
% 1.43/0.59 thf(f809,plain,(
% 1.43/0.59 ($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)) @ (lessis @ (ordsucc @ emptyset)))))),
% 1.43/0.59 inference(definition_unfolding,[],[f708,f797,f744])).
% 1.43/0.59 thf(f744,plain,(
% 1.43/0.59 ((ordsucc @ emptyset) = n_1)),
% 1.43/0.59 inference(cnf_transformation,[],[f620])).
% 1.43/0.59 thf(f620,plain,(
% 1.43/0.59 ((ordsucc @ emptyset) = n_1)),
% 1.43/0.59 inference(fool_elimination,[],[f163])).
% 1.43/0.59 thf(f163,axiom,(
% 1.43/0.59 ((ordsucc @ emptyset) = n_1)),
% 1.43/0.59 file('/export/starexec/sandbox/tmp/tmp.If6Wmxngxk/Vampire---4.8_11925',def_n_1)).
% 1.43/0.59 thf(f797,plain,(
% 1.43/0.59 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.43/0.59 inference(definition_unfolding,[],[f729,f722])).
% 1.43/0.59 thf(f722,plain,(
% 1.43/0.59 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.43/0.59 inference(cnf_transformation,[],[f645])).
% 1.43/0.59 thf(f645,plain,(
% 1.43/0.59 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.43/0.59 inference(fool_elimination,[],[f1])).
% 1.43/0.59 thf(f1,axiom,(
% 1.43/0.59 ((^[X0 : $i, X1 : $i > $o] : (X1 @ X0)) = is_of)),
% 1.43/0.59 file('/export/starexec/sandbox/tmp/tmp.If6Wmxngxk/Vampire---4.8_11925',def_is_of)).
% 1.43/0.59 thf(f729,plain,(
% 1.43/0.59 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.43/0.59 inference(cnf_transformation,[],[f520])).
% 1.43/0.59 thf(f520,plain,(
% 1.43/0.59 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.43/0.59 inference(fool_elimination,[],[f519])).
% 1.43/0.59 thf(f519,plain,(
% 1.43/0.59 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.43/0.59 inference(rectify,[],[f2])).
% 1.43/0.59 thf(f2,axiom,(
% 1.43/0.59 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.43/0.59 file('/export/starexec/sandbox/tmp/tmp.If6Wmxngxk/Vampire---4.8_11925',def_all_of)).
% 1.43/0.59 thf(f708,plain,(
% 1.43/0.59 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (lessis @ n_1))) = $true)),
% 1.43/0.59 inference(cnf_transformation,[],[f632])).
% 1.43/0.59 thf(f632,plain,(
% 1.43/0.59 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (lessis @ n_1))) = $true)),
% 1.43/0.59 inference(fool_elimination,[],[f631])).
% 1.43/0.59 thf(f631,plain,(
% 1.43/0.59 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (lessis @ n_1))),
% 1.43/0.59 inference(rectify,[],[f268])).
% 1.43/0.59 thf(f268,negated_conjecture,(
% 1.43/0.59 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (lessis @ n_1))),
% 1.43/0.59 inference(negated_conjecture,[],[f267])).
% 1.43/0.59 thf(f267,conjecture,(
% 1.43/0.59 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (lessis @ n_1))),
% 1.43/0.59 file('/export/starexec/sandbox/tmp/tmp.If6Wmxngxk/Vampire---4.8_11925',satz24a)).
% 1.43/0.59 thf(f2083,plain,(
% 1.43/0.59 ((in @ (ordsucc @ emptyset) @ nat) = $false) | ((in @ sK3 @ nat) = $false)),
% 1.43/0.59 inference(trivial_inequality_removal,[],[f2079])).
% 1.43/0.59 thf(f2079,plain,(
% 1.43/0.59 ((in @ sK3 @ nat) = $false) | ($true = $false) | ((in @ (ordsucc @ emptyset) @ nat) = $false)),
% 1.43/0.59 inference(superposition,[],[f2075,f1555])).
% 1.43/0.59 thf(f1555,plain,(
% 1.43/0.59 ( ! [X1 : $i] : (($true = (moreis @ X1 @ (ordsucc @ emptyset))) | ((in @ X1 @ nat) = $false)) )),
% 1.43/0.59 inference(binary_proxy_clausification,[],[f1554])).
% 1.43/0.59 thf(f1554,plain,(
% 1.43/0.59 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (moreis @ X1 @ (ordsucc @ emptyset))) = $true)) )),
% 1.43/0.59 inference(beta_eta_normalization,[],[f1553])).
% 1.43/0.59 thf(f1553,plain,(
% 1.43/0.59 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (moreis @ Y0 @ (ordsucc @ emptyset)))) @ X1) = $true)) )),
% 1.43/0.59 inference(pi_clausification,[],[f895])).
% 1.43/0.59 thf(f895,plain,(
% 1.43/0.59 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (moreis @ Y0 @ (ordsucc @ emptyset))))))),
% 1.43/0.59 inference(beta_eta_normalization,[],[f872])).
% 1.43/0.59 thf(f872,plain,(
% 1.43/0.59 (((^[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]: (moreis @ Y0 @ (ordsucc @ emptyset)))) = $true)),
% 1.43/0.59 inference(definition_unfolding,[],[f792,f797,f744])).
% 1.43/0.59 thf(f792,plain,(
% 1.43/0.59 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (moreis @ Y0 @ n_1))))),
% 1.43/0.59 inference(cnf_transformation,[],[f406])).
% 1.43/0.59 thf(f406,plain,(
% 1.43/0.59 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (moreis @ Y0 @ n_1))))),
% 1.43/0.59 inference(fool_elimination,[],[f405])).
% 1.43/0.59 thf(f405,plain,(
% 1.43/0.59 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (moreis @ X1 @ n_1)))),
% 1.43/0.59 inference(rectify,[],[f266])).
% 1.43/0.59 thf(f266,axiom,(
% 1.43/0.59 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (moreis @ X0 @ n_1)))),
% 1.43/0.59 file('/export/starexec/sandbox/tmp/tmp.If6Wmxngxk/Vampire---4.8_11925',satz24)).
% 1.43/0.59 thf(f2075,plain,(
% 1.43/0.59 ((moreis @ sK3 @ (ordsucc @ emptyset)) = $false) | ((in @ (ordsucc @ emptyset) @ nat) = $false)),
% 1.43/0.59 inference(trivial_inequality_removal,[],[f2074])).
% 1.43/0.59 thf(f2074,plain,(
% 1.43/0.59 ((moreis @ sK3 @ (ordsucc @ emptyset)) = $false) | ($true = $false) | ((in @ (ordsucc @ emptyset) @ nat) = $false)),
% 1.43/0.59 inference(forward_demodulation,[],[f2069,f1707])).
% 1.43/0.59 thf(f2069,plain,(
% 1.43/0.59 ((in @ sK3 @ nat) = $false) | ((moreis @ sK3 @ (ordsucc @ emptyset)) = $false) | ((in @ (ordsucc @ emptyset) @ nat) = $false)),
% 1.43/0.59 inference(trivial_inequality_removal,[],[f2061])).
% 1.43/0.59 thf(f2061,plain,(
% 1.43/0.59 ((moreis @ sK3 @ (ordsucc @ emptyset)) = $false) | ((in @ (ordsucc @ emptyset) @ nat) = $false) | ((in @ sK3 @ nat) = $false) | ($true = $false)),
% 1.43/0.59 inference(superposition,[],[f1706,f1587])).
% 1.43/0.59 thf(f1587,plain,(
% 1.43/0.59 ( ! [X2 : $i,X1 : $i] : (((lessis @ X2 @ X1) = $true) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((moreis @ X1 @ X2) = $false)) )),
% 1.43/0.59 inference(binary_proxy_clausification,[],[f1586])).
% 1.43/0.59 thf(f1586,plain,(
% 1.43/0.59 ( ! [X2 : $i,X1 : $i] : ((((moreis @ X1 @ X2) => (lessis @ X2 @ X1)) = $true) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 1.43/0.59 inference(binary_proxy_clausification,[],[f1585])).
% 1.43/0.59 thf(f1585,plain,(
% 1.43/0.59 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => ((moreis @ X1 @ X2) => (lessis @ X2 @ X1))))) )),
% 1.43/0.59 inference(beta_eta_normalization,[],[f1584])).
% 1.43/0.59 thf(f1584,plain,(
% 1.43/0.59 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => ((moreis @ X1 @ Y0) => (lessis @ Y0 @ X1)))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 1.43/0.59 inference(pi_clausification,[],[f1583])).
% 1.43/0.59 thf(f1583,plain,(
% 1.43/0.59 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((moreis @ X1 @ Y0) => (lessis @ Y0 @ X1))))) = $true)) )),
% 1.43/0.59 inference(binary_proxy_clausification,[],[f1582])).
% 1.43/0.59 thf(f1582,plain,(
% 1.43/0.59 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((moreis @ X1 @ Y0) => (lessis @ Y0 @ X1)))))) = $true)) )),
% 1.43/0.59 inference(beta_eta_normalization,[],[f1581])).
% 1.43/0.59 thf(f1581,plain,(
% 1.43/0.59 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0))))))) @ X1) = $true)) )),
% 1.43/0.59 inference(pi_clausification,[],[f892])).
% 1.43/0.59 thf(f892,plain,(
% 1.43/0.59 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0)))))))) = $true)),
% 1.43/0.59 inference(beta_eta_normalization,[],[f846])).
% 1.43/0.59 thf(f846,plain,(
% 1.43/0.59 ($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]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0)))))))),
% 1.43/0.59 inference(definition_unfolding,[],[f761,f797,f797])).
% 1.43/0.59 thf(f761,plain,(
% 1.43/0.59 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0)))))) = $true)),
% 1.43/0.59 inference(cnf_transformation,[],[f599])).
% 1.43/0.59 thf(f599,plain,(
% 1.43/0.59 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0)))))) = $true)),
% 1.43/0.59 inference(fool_elimination,[],[f598])).
% 1.43/0.59 thf(f598,plain,(
% 1.43/0.59 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((moreis @ X1 @ X3) => (lessis @ X3 @ X1))))))),
% 1.43/0.59 inference(rectify,[],[f218])).
% 1.43/0.59 thf(f218,axiom,(
% 1.43/0.59 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((moreis @ X0 @ X1) => (lessis @ X1 @ X0))))))),
% 1.43/0.59 file('/export/starexec/sandbox/tmp/tmp.If6Wmxngxk/Vampire---4.8_11925',satz13)).
% 1.43/0.59 thf(f1706,plain,(
% 1.43/0.59 ((lessis @ (ordsucc @ emptyset) @ sK3) = $false)),
% 1.43/0.59 inference(binary_proxy_clausification,[],[f1705])).
% 1.43/0.59 thf(f936,plain,(
% 1.43/0.59 ((in @ (ordsucc @ emptyset) @ nat) = $true)),
% 1.43/0.59 inference(beta_eta_normalization,[],[f849])).
% 1.43/0.59 thf(f849,plain,(
% 1.43/0.59 ($true = ((^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))) @ (ordsucc @ emptyset) @ (^[Y0 : $i]: (in @ Y0 @ nat))))),
% 1.43/0.59 inference(definition_unfolding,[],[f765,f722,f744])).
% 1.43/0.59 thf(f765,plain,(
% 1.43/0.59 ((is_of @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $true)),
% 1.43/0.59 inference(cnf_transformation,[],[f628])).
% 1.43/0.59 thf(f628,plain,(
% 1.43/0.59 ((is_of @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $true)),
% 1.43/0.59 inference(fool_elimination,[],[f627])).
% 1.43/0.59 thf(f627,plain,(
% 1.43/0.59 (is_of @ n_1 @ (^[X0 : $i] : (in @ X0 @ nat)))),
% 1.43/0.59 inference(rectify,[],[f164])).
% 1.43/0.59 thf(f164,axiom,(
% 1.43/0.59 (is_of @ n_1 @ (^[X0 : $i] : (in @ X0 @ nat)))),
% 1.43/0.59 file('/export/starexec/sandbox/tmp/tmp.If6Wmxngxk/Vampire---4.8_11925',n_1_p)).
% 1.43/0.59 % SZS output end Proof for Vampire---4
% 1.43/0.59 % (12205)------------------------------
% 1.43/0.59 % (12205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/0.59 % (12205)Termination reason: Refutation
% 1.43/0.59
% 1.43/0.59 % (12205)Memory used [KB]: 7419
% 1.43/0.59 % (12205)Time elapsed: 0.105 s
% 1.43/0.59 % (12205)Instructions burned: 277 (million)
% 1.43/0.59 % (12205)------------------------------
% 1.43/0.59 % (12205)------------------------------
% 1.43/0.59 % (12165)Success in time 0.233 s
% 1.43/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------