TSTP Solution File: NUM660^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM660^4 : 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 : n010.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 08:14:01 EDT 2024
% Result : Theorem 1.81s 0.60s
% Output : Refutation 1.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM660^4 : TPTP v8.1.2. Released v7.1.0.
% 0.12/0.14 % 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 : n010.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
% 0.15/0.35 % DateTime : Fri May 3 14:19:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413
% 0.15/0.39 % (16521)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)
% 0.15/0.39 % (16523)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)
% 0.15/0.39 % (16522)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)
% 0.15/0.39 % (16525)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)
% 0.15/0.39 % (16524)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.39 % (16526)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)
% 0.15/0.39 % (16527)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.39 % (16528)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)
% 0.15/0.39 % (16524)Instruction limit reached!
% 0.15/0.39 % (16524)------------------------------
% 0.15/0.39 % (16524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (16524)Termination reason: Unknown
% 0.15/0.39 % (16525)Instruction limit reached!
% 0.15/0.39 % (16525)------------------------------
% 0.15/0.39 % (16525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (16524)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (16524)Memory used [KB]: 1279
% 0.15/0.39 % (16524)Time elapsed: 0.004 s
% 0.15/0.39 % (16524)Instructions burned: 3 (million)
% 0.15/0.39 % (16524)------------------------------
% 0.15/0.39 % (16524)------------------------------
% 0.15/0.39 % (16525)Termination reason: Unknown
% 0.15/0.39 % (16525)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (16525)Memory used [KB]: 1279
% 0.15/0.39 % (16525)Time elapsed: 0.004 s
% 0.15/0.39 % (16525)Instructions burned: 3 (million)
% 0.15/0.39 % (16525)------------------------------
% 0.15/0.39 % (16525)------------------------------
% 0.15/0.39 % (16528)Instruction limit reached!
% 0.15/0.39 % (16528)------------------------------
% 0.15/0.39 % (16528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (16528)Termination reason: Unknown
% 0.15/0.39 % (16528)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (16528)Memory used [KB]: 1279
% 0.15/0.39 % (16528)Time elapsed: 0.004 s
% 0.15/0.39 % (16528)Instructions burned: 3 (million)
% 0.15/0.39 % (16528)------------------------------
% 0.15/0.39 % (16528)------------------------------
% 0.15/0.39 % (16522)Instruction limit reached!
% 0.15/0.39 % (16522)------------------------------
% 0.15/0.39 % (16522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (16522)Termination reason: Unknown
% 0.15/0.39 % (16522)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (16522)Memory used [KB]: 1279
% 0.15/0.39 % (16522)Time elapsed: 0.005 s
% 0.15/0.39 % (16522)Instructions burned: 5 (million)
% 0.15/0.39 % (16522)------------------------------
% 0.15/0.39 % (16522)------------------------------
% 0.15/0.40 % (16527)Instruction limit reached!
% 0.15/0.40 % (16527)------------------------------
% 0.15/0.40 % (16527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (16527)Termination reason: Unknown
% 0.15/0.40 % (16527)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (16527)Memory used [KB]: 1535
% 0.15/0.40 % (16527)Time elapsed: 0.013 s
% 0.15/0.40 % (16527)Instructions burned: 19 (million)
% 0.15/0.40 % (16527)------------------------------
% 0.15/0.40 % (16527)------------------------------
% 0.15/0.40 % (16523)Instruction limit reached!
% 0.15/0.40 % (16523)------------------------------
% 0.15/0.40 % (16523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (16523)Termination reason: Unknown
% 0.15/0.40 % (16523)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (16523)Memory used [KB]: 1535
% 0.15/0.40 % (16523)Time elapsed: 0.017 s
% 0.15/0.40 % (16523)Instructions burned: 27 (million)
% 0.15/0.40 % (16523)------------------------------
% 0.15/0.40 % (16523)------------------------------
% 0.15/0.40 % (16529)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)
% 0.15/0.40 % (16530)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)
% 0.15/0.40 % (16531)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.40 % (16532)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.15/0.40 % (16531)Instruction limit reached!
% 0.15/0.40 % (16531)------------------------------
% 0.15/0.40 % (16531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (16531)Termination reason: Unknown
% 0.15/0.40 % (16531)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.41 % (16531)Memory used [KB]: 1279
% 0.15/0.41 % (16531)Time elapsed: 0.004 s
% 0.15/0.41 % (16531)Instructions burned: 3 (million)
% 0.15/0.41 % (16531)------------------------------
% 0.15/0.41 % (16531)------------------------------
% 0.15/0.41 % (16526)Refutation not found, incomplete strategy
% 0.15/0.41 % (16526)------------------------------
% 0.15/0.41 % (16526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (16526)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.41
% 0.15/0.41
% 0.15/0.41 % (16526)Memory used [KB]: 6140
% 0.15/0.41 % (16526)Time elapsed: 0.023 s
% 0.15/0.41 % (16526)Instructions burned: 38 (million)
% 0.15/0.41 % (16526)------------------------------
% 0.15/0.41 % (16526)------------------------------
% 0.15/0.41 % (16530)Instruction limit reached!
% 0.15/0.41 % (16530)------------------------------
% 0.15/0.41 % (16530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (16530)Termination reason: Unknown
% 0.15/0.41 % (16530)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (16530)Memory used [KB]: 1535
% 0.15/0.41 % (16530)Time elapsed: 0.011 s
% 0.15/0.41 % (16530)Instructions burned: 16 (million)
% 0.15/0.41 % (16530)------------------------------
% 0.15/0.41 % (16530)------------------------------
% 0.15/0.41 % (16533)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.42 % (16534)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.15/0.42 % (16533)Instruction limit reached!
% 0.15/0.42 % (16533)------------------------------
% 0.15/0.42 % (16533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (16533)Termination reason: Unknown
% 0.15/0.42 % (16533)Termination phase: shuffling
% 0.15/0.42
% 0.15/0.42 % (16533)Memory used [KB]: 1407
% 0.15/0.42 % (16533)Time elapsed: 0.006 s
% 0.15/0.42 % (16533)Instructions burned: 7 (million)
% 0.15/0.42 % (16533)------------------------------
% 0.15/0.42 % (16533)------------------------------
% 0.22/0.42 % (16535)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)
% 0.22/0.42 % (16529)Instruction limit reached!
% 0.22/0.42 % (16529)------------------------------
% 0.22/0.42 % (16529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (16535)Instruction limit reached!
% 0.22/0.42 % (16535)------------------------------
% 0.22/0.42 % (16535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (16535)Termination reason: Unknown
% 0.22/0.42 % (16535)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (16535)Memory used [KB]: 1279
% 0.22/0.42 % (16535)Time elapsed: 0.004 s
% 0.22/0.42 % (16535)Instructions burned: 3 (million)
% 0.22/0.42 % (16535)------------------------------
% 0.22/0.42 % (16535)------------------------------
% 0.22/0.42 % (16529)Termination reason: Unknown
% 0.22/0.42 % (16529)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (16529)Memory used [KB]: 1663
% 0.22/0.42 % (16529)Time elapsed: 0.021 s
% 0.22/0.42 % (16529)Instructions burned: 38 (million)
% 0.22/0.42 % (16529)------------------------------
% 0.22/0.42 % (16529)------------------------------
% 0.22/0.42 % (16536)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)
% 0.22/0.42 % (16534)Instruction limit reached!
% 0.22/0.42 % (16534)------------------------------
% 0.22/0.42 % (16534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (16534)Termination reason: Unknown
% 0.22/0.42 % (16534)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (16534)Memory used [KB]: 1535
% 0.22/0.42 % (16534)Time elapsed: 0.011 s
% 0.22/0.42 % (16534)Instructions burned: 16 (million)
% 0.22/0.42 % (16534)------------------------------
% 0.22/0.42 % (16534)------------------------------
% 0.22/0.42 % (16536)Instruction limit reached!
% 0.22/0.42 % (16536)------------------------------
% 0.22/0.42 % (16536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (16536)Termination reason: Unknown
% 0.22/0.42 % (16536)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (16536)Memory used [KB]: 1279
% 0.22/0.42 % (16536)Time elapsed: 0.004 s
% 0.22/0.42 % (16536)Instructions burned: 3 (million)
% 0.22/0.42 % (16536)------------------------------
% 0.22/0.42 % (16536)------------------------------
% 0.22/0.43 % (16537)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)
% 0.22/0.43 % (16537)Instruction limit reached!
% 0.22/0.43 % (16537)------------------------------
% 0.22/0.43 % (16537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (16537)Termination reason: Unknown
% 0.22/0.43 % (16537)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (16537)Memory used [KB]: 1407
% 0.22/0.43 % (16538)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)
% 0.22/0.43 % (16537)Time elapsed: 0.006 s
% 0.22/0.43 % (16537)Instructions burned: 7 (million)
% 0.22/0.43 % (16537)------------------------------
% 0.22/0.43 % (16537)------------------------------
% 0.22/0.43 % (16538)Instruction limit reached!
% 0.22/0.43 % (16538)------------------------------
% 0.22/0.43 % (16538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (16538)Termination reason: Unknown
% 0.22/0.43 % (16538)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (16538)Memory used [KB]: 1279
% 0.22/0.43 % (16538)Time elapsed: 0.004 s
% 0.22/0.43 % (16538)Instructions burned: 3 (million)
% 0.22/0.43 % (16538)------------------------------
% 0.22/0.43 % (16538)------------------------------
% 0.22/0.44 % (16539)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.44 % (16540)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.44 % (16539)Instruction limit reached!
% 0.22/0.44 % (16539)------------------------------
% 0.22/0.44 % (16539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (16539)Termination reason: Unknown
% 0.22/0.44 % (16539)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (16539)Memory used [KB]: 1279
% 0.22/0.44 % (16539)Time elapsed: 0.005 s
% 0.22/0.44 % (16539)Instructions burned: 5 (million)
% 0.22/0.44 % (16539)------------------------------
% 0.22/0.44 % (16539)------------------------------
% 0.22/0.44 % (16541)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)
% 0.22/0.44 % (16542)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.44 % (16542)Instruction limit reached!
% 0.22/0.44 % (16542)------------------------------
% 0.22/0.44 % (16542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (16542)Termination reason: Unknown
% 0.22/0.44 % (16542)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (16542)Memory used [KB]: 1407
% 0.22/0.44 % (16542)Time elapsed: 0.006 s
% 0.22/0.44 % (16542)Instructions burned: 7 (million)
% 0.22/0.44 % (16542)------------------------------
% 0.22/0.44 % (16542)------------------------------
% 0.22/0.45 % (16543)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)
% 0.22/0.45 % (16521)Instruction limit reached!
% 0.22/0.45 % (16521)------------------------------
% 0.22/0.45 % (16521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (16521)Termination reason: Unknown
% 0.22/0.45 % (16521)Termination phase: Function definition elimination
% 0.22/0.45
% 0.22/0.45 % (16521)Memory used [KB]: 1918
% 0.22/0.45 % (16521)Time elapsed: 0.062 s
% 0.22/0.45 % (16521)Instructions burned: 184 (million)
% 0.22/0.45 % (16521)------------------------------
% 0.22/0.45 % (16521)------------------------------
% 0.22/0.45 % (16540)Instruction limit reached!
% 0.22/0.45 % (16540)------------------------------
% 0.22/0.45 % (16540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (16540)Termination reason: Unknown
% 0.22/0.45 % (16540)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (16540)Memory used [KB]: 1535
% 0.22/0.45 % (16540)Time elapsed: 0.012 s
% 0.22/0.45 % (16540)Instructions burned: 18 (million)
% 0.22/0.45 % (16540)------------------------------
% 0.22/0.45 % (16540)------------------------------
% 0.22/0.45 % (16544)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)
% 0.22/0.45 % (16546)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.46 % (16546)Instruction limit reached!
% 0.22/0.46 % (16546)------------------------------
% 0.22/0.46 % (16546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (16546)Termination reason: Unknown
% 0.22/0.46 % (16546)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (16546)Memory used [KB]: 1279
% 0.22/0.46 % (16546)Time elapsed: 0.005 s
% 0.22/0.46 % (16546)Instructions burned: 5 (million)
% 0.22/0.46 % (16546)------------------------------
% 0.22/0.46 % (16546)------------------------------
% 0.22/0.46 % (16547)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.46 % (16544)Instruction limit reached!
% 0.22/0.46 % (16544)------------------------------
% 0.22/0.46 % (16544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (16544)Termination reason: Unknown
% 0.22/0.46 % (16544)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (16544)Memory used [KB]: 1535
% 0.22/0.46 % (16544)Time elapsed: 0.014 s
% 0.22/0.46 % (16544)Instructions burned: 22 (million)
% 0.22/0.46 % (16544)------------------------------
% 0.22/0.46 % (16544)------------------------------
% 0.22/0.46 % (16548)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)
% 0.22/0.46 % (16547)Instruction limit reached!
% 0.22/0.46 % (16547)------------------------------
% 0.22/0.46 % (16547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (16547)Termination reason: Unknown
% 0.22/0.46 % (16547)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (16547)Memory used [KB]: 1279
% 0.22/0.46 % (16547)Time elapsed: 0.005 s
% 0.22/0.46 % (16547)Instructions burned: 6 (million)
% 0.22/0.46 % (16547)------------------------------
% 0.22/0.46 % (16547)------------------------------
% 0.22/0.46 % (16549)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.22/0.47 % (16550)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2999ds/19Mi)
% 0.22/0.47 % (16551)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.22/0.48 % (16552)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.22/0.48 % (16550)Instruction limit reached!
% 0.22/0.48 % (16550)------------------------------
% 0.22/0.48 % (16550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (16550)Termination reason: Unknown
% 0.22/0.48 % (16550)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (16550)Memory used [KB]: 1663
% 0.22/0.48 % (16550)Time elapsed: 0.010 s
% 0.22/0.48 % (16550)Instructions burned: 21 (million)
% 0.22/0.48 % (16550)------------------------------
% 0.22/0.48 % (16550)------------------------------
% 0.22/0.48 % (16543)Refutation not found, incomplete strategy
% 0.22/0.48 % (16543)------------------------------
% 0.22/0.48 % (16543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (16543)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % (16543)Memory used [KB]: 6268
% 0.22/0.48 % (16543)Time elapsed: 0.040 s
% 0.22/0.48 % (16543)Instructions burned: 71 (million)
% 0.22/0.48 % (16543)------------------------------
% 0.22/0.48 % (16543)------------------------------
% 0.22/0.49 % (16552)Instruction limit reached!
% 0.22/0.49 % (16552)------------------------------
% 0.22/0.49 % (16552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (16552)Termination reason: Unknown
% 0.22/0.49 % (16552)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (16552)Memory used [KB]: 1535
% 0.22/0.49 % (16552)Time elapsed: 0.011 s
% 0.22/0.49 % (16552)Instructions burned: 17 (million)
% 0.22/0.49 % (16552)------------------------------
% 0.22/0.49 % (16552)------------------------------
% 0.22/0.49 % (16553)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)
% 0.22/0.49 % (16553)Instruction limit reached!
% 0.22/0.49 % (16553)------------------------------
% 0.22/0.49 % (16553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (16553)Termination reason: Unknown
% 0.22/0.49 % (16553)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (16553)Memory used [KB]: 1279
% 0.22/0.49 % (16553)Time elapsed: 0.003 s
% 0.22/0.49 % (16553)Instructions burned: 5 (million)
% 0.22/0.49 % (16553)------------------------------
% 0.22/0.49 % (16553)------------------------------
% 0.22/0.50 % (16554)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)
% 0.22/0.50 % (16555)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)
% 0.22/0.50 % (16556)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)
% 0.22/0.51 % (16554)Instruction limit reached!
% 0.22/0.51 % (16554)------------------------------
% 0.22/0.51 % (16554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (16554)Termination reason: Unknown
% 0.22/0.51 % (16554)Termination phase: Preprocessing 1
% 0.22/0.51
% 0.22/0.51 % (16554)Memory used [KB]: 1535
% 0.22/0.51 % (16554)Time elapsed: 0.015 s
% 0.22/0.51 % (16554)Instructions burned: 33 (million)
% 0.22/0.51 % (16554)------------------------------
% 0.22/0.51 % (16554)------------------------------
% 0.22/0.52 % (16557)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)
% 0.22/0.52 % (16556)Instruction limit reached!
% 0.22/0.52 % (16556)------------------------------
% 0.22/0.52 % (16556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (16556)Termination reason: Unknown
% 0.22/0.52 % (16556)Termination phase: Function definition elimination
% 0.22/0.52
% 0.22/0.52 % (16556)Memory used [KB]: 1918
% 0.22/0.52 % (16556)Time elapsed: 0.024 s
% 0.22/0.52 % (16556)Instructions burned: 102 (million)
% 0.22/0.52 % (16556)------------------------------
% 0.22/0.52 % (16556)------------------------------
% 0.22/0.52 % (16557)Instruction limit reached!
% 0.22/0.52 % (16557)------------------------------
% 0.22/0.52 % (16557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (16557)Termination reason: Unknown
% 0.22/0.52 % (16557)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (16557)Memory used [KB]: 1279
% 0.22/0.52 % (16557)Time elapsed: 0.003 s
% 0.22/0.52 % (16557)Instructions burned: 6 (million)
% 0.22/0.52 % (16557)------------------------------
% 0.22/0.52 % (16557)------------------------------
% 0.22/0.53 % (16555)Instruction limit reached!
% 0.22/0.53 % (16555)------------------------------
% 0.22/0.53 % (16555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (16555)Termination reason: Unknown
% 0.22/0.53 % (16555)Termination phase: Function definition elimination
% 0.22/0.53
% 0.22/0.53 % (16555)Memory used [KB]: 1791
% 0.22/0.53 % (16555)Time elapsed: 0.031 s
% 0.22/0.53 % (16555)Instructions burned: 132 (million)
% 0.22/0.53 % (16555)------------------------------
% 0.22/0.53 % (16555)------------------------------
% 0.22/0.53 % (16558)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)
% 0.22/0.53 % (16559)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)
% 0.22/0.54 % (16560)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)
% 0.22/0.54 % (16558)Instruction limit reached!
% 0.22/0.54 % (16558)------------------------------
% 0.22/0.54 % (16558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (16558)Termination reason: Unknown
% 0.22/0.54 % (16558)Termination phase: Property scanning
% 0.22/0.54
% 0.22/0.54 % (16558)Memory used [KB]: 1535
% 0.22/0.54 % (16558)Time elapsed: 0.008 s
% 0.22/0.54 % (16558)Instructions burned: 22 (million)
% 0.22/0.54 % (16558)------------------------------
% 0.22/0.54 % (16558)------------------------------
% 0.22/0.55 % (16561)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)
% 0.22/0.55 % (16559)Instruction limit reached!
% 0.22/0.55 % (16559)------------------------------
% 0.22/0.55 % (16559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (16559)Termination reason: Unknown
% 0.22/0.55 % (16559)Termination phase: Function definition elimination
% 0.22/0.55
% 0.22/0.55 % (16559)Memory used [KB]: 1791
% 0.22/0.55 % (16559)Time elapsed: 0.021 s
% 0.22/0.55 % (16559)Instructions burned: 88 (million)
% 0.22/0.55 % (16559)------------------------------
% 0.22/0.55 % (16559)------------------------------
% 0.22/0.55 % (16548)Instruction limit reached!
% 0.22/0.55 % (16548)------------------------------
% 0.22/0.55 % (16548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (16548)Termination reason: Unknown
% 0.22/0.55 % (16548)Termination phase: Property scanning
% 0.22/0.55
% 0.22/0.55 % (16548)Memory used [KB]: 1918
% 0.22/0.55 % (16548)Time elapsed: 0.094 s
% 0.22/0.55 % (16548)Instructions burned: 380 (million)
% 0.22/0.55 % (16548)------------------------------
% 0.22/0.55 % (16548)------------------------------
% 0.22/0.56 % (16561)Instruction limit reached!
% 0.22/0.56 % (16561)------------------------------
% 0.22/0.56 % (16561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.56 % (16561)Termination reason: Unknown
% 0.22/0.56 % (16561)Termination phase: Property scanning
% 0.22/0.56
% 0.22/0.56 % (16561)Memory used [KB]: 1663
% 0.22/0.56 % (16561)Time elapsed: 0.013 s
% 0.22/0.56 % (16561)Instructions burned: 42 (million)
% 0.22/0.56 % (16561)------------------------------
% 0.22/0.56 % (16561)------------------------------
% 0.22/0.56 % (16563)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)
% 0.22/0.57 % (16564)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)
% 1.69/0.57 % (16560)Instruction limit reached!
% 1.69/0.57 % (16560)------------------------------
% 1.69/0.57 % (16560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.57 % (16560)Termination reason: Unknown
% 1.69/0.57 % (16560)Termination phase: Saturation
% 1.69/0.57
% 1.69/0.57 % (16560)Memory used [KB]: 6524
% 1.69/0.57 % (16560)Time elapsed: 0.032 s
% 1.69/0.57 % (16560)Instructions burned: 109 (million)
% 1.69/0.57 % (16560)------------------------------
% 1.69/0.57 % (16560)------------------------------
% 1.69/0.57 % (16562)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)
% 1.69/0.57 % (16563)Instruction limit reached!
% 1.69/0.57 % (16563)------------------------------
% 1.69/0.57 % (16563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.57 % (16563)Termination reason: Unknown
% 1.69/0.57 % (16563)Termination phase: Property scanning
% 1.69/0.57
% 1.69/0.57 % (16563)Memory used [KB]: 1663
% 1.69/0.57 % (16563)Time elapsed: 0.015 s
% 1.69/0.57 % (16563)Instructions burned: 47 (million)
% 1.69/0.57 % (16563)------------------------------
% 1.69/0.57 % (16563)------------------------------
% 1.69/0.58 % (16565)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)
% 1.69/0.58 % (16566)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)
% 1.81/0.59 % (16564)Instruction limit reached!
% 1.81/0.59 % (16564)------------------------------
% 1.81/0.59 % (16564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.81/0.59 % (16564)Termination reason: Unknown
% 1.81/0.59 % (16564)Termination phase: Function definition elimination
% 1.81/0.59
% 1.81/0.59 % (16564)Memory used [KB]: 1918
% 1.81/0.59 % (16564)Time elapsed: 0.023 s
% 1.81/0.59 % (16564)Instructions burned: 101 (million)
% 1.81/0.59 % (16564)------------------------------
% 1.81/0.59 % (16564)------------------------------
% 1.81/0.60 % (16562)First to succeed.
% 1.81/0.60 % (16567)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 1.81/0.60 % (16562)Refutation found. Thanks to Tanya!
% 1.81/0.60 % SZS status Theorem for Vampire---4
% 1.81/0.60 % SZS output start Proof for Vampire---4
% 1.81/0.60 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 1.81/0.60 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 1.81/0.60 thf(func_def_3, type, eps: ($i > $o) > $i).
% 1.81/0.60 thf(func_def_4, type, in: $i > $i > $o).
% 1.81/0.60 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 1.81/0.60 thf(func_def_7, type, union: $i > $i).
% 1.81/0.60 thf(func_def_8, type, power: $i > $i).
% 1.81/0.60 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 1.81/0.60 thf(func_def_10, type, d_Union_closed: $i > $o).
% 1.81/0.60 thf(func_def_11, type, d_Power_closed: $i > $o).
% 1.81/0.60 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 1.81/0.60 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 1.81/0.60 thf(func_def_14, type, univof: $i > $i).
% 1.81/0.60 thf(func_def_15, type, if: $o > $i > $i > $i).
% 1.81/0.60 thf(func_def_16, type, nIn: $i > $i > $o).
% 1.81/0.60 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 1.81/0.60 thf(func_def_18, type, d_Sing: $i > $i).
% 1.81/0.60 thf(func_def_19, type, binunion: $i > $i > $i).
% 1.81/0.60 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 1.81/0.60 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 1.81/0.60 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 1.81/0.60 thf(func_def_23, type, setminus: $i > $i > $i).
% 1.81/0.60 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 1.81/0.60 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 1.81/0.60 thf(func_def_26, type, ordsucc: $i > $i).
% 1.81/0.60 thf(func_def_27, type, nat_p: $i > $o).
% 1.81/0.60 thf(func_def_29, type, d_Inj1: $i > $i).
% 1.81/0.60 thf(func_def_30, type, d_Inj0: $i > $i).
% 1.81/0.60 thf(func_def_31, type, d_Unj: $i > $i).
% 1.81/0.60 thf(func_def_32, type, pair: $i > $i > $i).
% 1.81/0.60 thf(func_def_33, type, proj0: $i > $i).
% 1.81/0.60 thf(func_def_34, type, proj1: $i > $i).
% 1.81/0.60 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 1.81/0.60 thf(func_def_36, type, setprod: $i > $i > $i).
% 1.81/0.60 thf(func_def_37, type, ap: $i > $i > $i).
% 1.81/0.60 thf(func_def_38, type, pair_p: $i > $o).
% 1.81/0.60 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 1.81/0.60 thf(func_def_40, type, imp: $o > $o > $o).
% 1.81/0.60 thf(func_def_41, type, d_not: $o > $o).
% 1.81/0.60 thf(func_def_42, type, wel: $o > $o).
% 1.81/0.60 thf(func_def_44, type, l_ec: $o > $o > $o).
% 1.81/0.60 thf(func_def_45, type, d_and: $o > $o > $o).
% 1.81/0.60 thf(func_def_46, type, l_or: $o > $o > $o).
% 1.81/0.60 thf(func_def_47, type, orec: $o > $o > $o).
% 1.81/0.60 thf(func_def_48, type, l_iff: $o > $o > $o).
% 1.81/0.60 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 1.81/0.60 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 1.81/0.60 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 1.81/0.60 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 1.81/0.60 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 1.81/0.60 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 1.81/0.60 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 1.81/0.60 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 1.81/0.60 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 1.81/0.60 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 1.81/0.60 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 1.81/0.60 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 1.81/0.60 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_72, type, first: $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_73, type, second: $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_80, type, r_ec: $o > $o > $o).
% 1.81/0.60 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_82, type, empty: $i > $i > $o).
% 1.81/0.60 thf(func_def_83, type, nonempty: $i > $i > $o).
% 1.81/0.60 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 1.81/0.60 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 1.81/0.60 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 1.81/0.60 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 1.81/0.60 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 1.81/0.60 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 1.81/0.60 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 1.81/0.60 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 1.81/0.60 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 1.81/0.60 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 1.81/0.60 thf(func_def_103, type, n_is: $i > $i > $o).
% 1.81/0.60 thf(func_def_104, type, nis: $i > $i > $o).
% 1.81/0.60 thf(func_def_105, type, n_in: $i > $i > $o).
% 1.81/0.60 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 1.81/0.60 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 1.81/0.60 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 1.81/0.60 thf(func_def_110, type, cond1: $i > $o).
% 1.81/0.60 thf(func_def_111, type, cond2: $i > $o).
% 1.81/0.60 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 1.81/0.60 thf(func_def_113, type, d_22_prop1: $i > $o).
% 1.81/0.60 thf(func_def_114, type, d_23_prop1: $i > $o).
% 1.81/0.60 thf(func_def_115, type, d_24_prop1: $i > $o).
% 1.81/0.60 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 1.81/0.60 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_118, type, prop4: $i > $o).
% 1.81/0.60 thf(func_def_119, type, d_24_g: $i > $i).
% 1.81/0.60 thf(func_def_120, type, plus: $i > $i).
% 1.81/0.60 thf(func_def_121, type, n_pl: $i > $i > $i).
% 1.81/0.60 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 1.81/0.60 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 1.81/0.60 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 1.81/0.60 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 1.81/0.60 thf(func_def_128, type, iii: $i > $i > $o).
% 1.81/0.60 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 1.81/0.60 thf(func_def_130, type, moreis: $i > $i > $o).
% 1.81/0.60 thf(func_def_131, type, lessis: $i > $i > $o).
% 1.81/0.60 thf(func_def_154, type, sK3: ($i > $o) > $i).
% 1.81/0.60 thf(func_def_155, type, sK4: $i > ($i > $i) > ($i > $i) > $i).
% 1.81/0.60 thf(func_def_156, type, ph5: !>[X0: $tType]:(X0)).
% 1.81/0.60 thf(f1040,plain,(
% 1.81/0.60 $false),
% 1.81/0.60 inference(avatar_sat_refutation,[],[f761,f1036,f1039])).
% 1.81/0.60 thf(f1039,plain,(
% 1.81/0.60 ~spl0_2),
% 1.81/0.60 inference(avatar_contradiction_clause,[],[f1038])).
% 1.81/0.60 thf(f1038,plain,(
% 1.81/0.60 $false | ~spl0_2),
% 1.81/0.60 inference(trivial_inequality_removal,[],[f1037])).
% 1.81/0.60 thf(f1037,plain,(
% 1.81/0.60 ($true = $false) | ~spl0_2),
% 1.81/0.60 inference(forward_demodulation,[],[f749,f760])).
% 1.81/0.60 thf(f760,plain,(
% 1.81/0.60 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0)))))) | ~spl0_2),
% 1.81/0.60 inference(avatar_component_clause,[],[f758])).
% 1.81/0.60 thf(f758,plain,(
% 1.81/0.60 spl0_2 <=> ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0))))))),
% 1.81/0.60 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 1.81/0.60 thf(f749,plain,(
% 1.81/0.60 ($true = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0))))))),
% 1.81/0.60 inference(binary_proxy_clausification,[],[f746])).
% 1.81/0.60 thf(f746,plain,(
% 1.81/0.60 ($false = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0))))) => (sK2 = sK1)))),
% 1.81/0.60 inference(binary_proxy_clausification,[],[f744])).
% 1.81/0.60 thf(f744,plain,(
% 1.81/0.60 ($false = (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0))))) => (sK1 = sK2)) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0))))) => (sK2 = sK1))))),
% 1.81/0.60 inference(binary_proxy_clausification,[],[f743])).
% 1.81/0.60 thf(f743,plain,(
% 1.81/0.60 ($false = ((in @ sK2 @ nat) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0))))) => (sK1 = sK2)) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0))))) => (sK2 = sK1)))))),
% 1.81/0.60 inference(beta_eta_normalization,[],[f742])).
% 1.81/0.60 thf(f742,plain,(
% 1.81/0.60 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK1 = (n_pl @ Y0 @ Y1))))) => (sK1 = Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK1 = (n_pl @ Y0 @ Y1))))) => (Y0 = sK1))))) @ sK2) = $false)),
% 1.81/0.60 inference(sigma_clausification,[],[f740])).
% 1.81/0.60 thf(f740,plain,(
% 1.81/0.60 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK1 = (n_pl @ Y0 @ Y1))))) => (sK1 = Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK1 = (n_pl @ Y0 @ Y1))))) => (Y0 = sK1)))))) = $false)),
% 1.81/0.60 inference(binary_proxy_clausification,[],[f739])).
% 1.81/0.60 thf(f739,plain,(
% 1.81/0.60 (((in @ sK1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK1 = (n_pl @ Y0 @ Y1))))) => (sK1 = Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK1 = (n_pl @ Y0 @ Y1))))) => (Y0 = sK1))))))) = $false)),
% 1.81/0.60 inference(beta_eta_normalization,[],[f738])).
% 1.81/0.60 thf(f738,plain,(
% 1.81/0.60 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y1 = Y0)))))))) @ sK1) = $false)),
% 1.81/0.60 inference(sigma_clausification,[],[f737])).
% 1.81/0.60 thf(f737,plain,(
% 1.81/0.60 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y1 = Y0))))))))))),
% 1.81/0.60 inference(not_proxy_clausification,[],[f698])).
% 1.81/0.60 thf(f698,plain,(
% 1.81/0.60 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y0 = Y1)) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => (Y1 = Y0)))))))))))),
% 1.81/0.60 inference(beta_eta_normalization,[],[f659])).
% 1.81/0.60 thf(f659,plain,(
% 1.81/0.60 ($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 : $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]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ 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]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y1 @ Y0))))))))),
% 1.81/0.60 inference(definition_unfolding,[],[f613,f616,f616,f622,f626])).
% 1.81/0.60 thf(f626,plain,(
% 1.81/0.60 (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]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ Y0 @ Y1))))))),
% 1.81/0.60 inference(definition_unfolding,[],[f574,f621,f620,f617])).
% 1.81/0.60 thf(f617,plain,(
% 1.81/0.60 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 1.81/0.60 inference(definition_unfolding,[],[f570,f615])).
% 1.81/0.60 thf(f615,plain,(
% 1.81/0.60 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 1.81/0.60 inference(cnf_transformation,[],[f385])).
% 1.81/0.60 thf(f385,plain,(
% 1.81/0.60 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 1.81/0.60 inference(fool_elimination,[],[f384])).
% 1.81/0.60 thf(f384,plain,(
% 1.81/0.60 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))),
% 1.81/0.60 inference(rectify,[],[f91])).
% 1.81/0.60 thf(f91,axiom,(
% 1.81/0.60 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_e_is)).
% 1.81/0.60 thf(f570,plain,(
% 1.81/0.60 (n_is = (e_is @ nat))),
% 1.81/0.60 inference(cnf_transformation,[],[f480])).
% 1.81/0.60 thf(f480,plain,(
% 1.81/0.60 (n_is = (e_is @ nat))),
% 1.81/0.60 inference(fool_elimination,[],[f157])).
% 1.81/0.60 thf(f157,axiom,(
% 1.81/0.60 (n_is = (e_is @ nat))),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_n_is)).
% 1.81/0.60 thf(f620,plain,(
% 1.81/0.60 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y1 @ Y0))))))),
% 1.81/0.60 inference(definition_unfolding,[],[f558,f576,f618])).
% 1.81/0.60 thf(f618,plain,(
% 1.81/0.60 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 1.81/0.60 inference(definition_unfolding,[],[f579,f617])).
% 1.81/0.60 thf(f579,plain,(
% 1.81/0.60 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 1.81/0.60 inference(cnf_transformation,[],[f298])).
% 1.81/0.60 thf(f298,plain,(
% 1.81/0.60 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 1.81/0.60 inference(fool_elimination,[],[f203])).
% 1.81/0.60 thf(f203,axiom,(
% 1.81/0.60 (diffprop = (^[X0 : $i, X1 : $i, X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))))),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_diffprop)).
% 1.81/0.60 thf(f576,plain,(
% 1.81/0.60 (n_some = (l_some @ nat))),
% 1.81/0.60 inference(cnf_transformation,[],[f327])).
% 1.81/0.60 thf(f327,plain,(
% 1.81/0.60 (n_some = (l_some @ nat))),
% 1.81/0.60 inference(fool_elimination,[],[f160])).
% 1.81/0.60 thf(f160,axiom,(
% 1.81/0.60 (n_some = (l_some @ nat))),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_n_some)).
% 1.81/0.60 thf(f558,plain,(
% 1.81/0.60 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 1.81/0.60 inference(cnf_transformation,[],[f458])).
% 1.81/0.60 thf(f458,plain,(
% 1.81/0.60 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 1.81/0.60 inference(fool_elimination,[],[f206])).
% 1.81/0.60 thf(f206,axiom,(
% 1.81/0.60 (iii = (^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X1 @ X0))))),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_iii)).
% 1.81/0.60 thf(f621,plain,(
% 1.81/0.60 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ (d_not @ Y0))))),
% 1.81/0.60 inference(definition_unfolding,[],[f600,f609])).
% 1.81/0.60 thf(f609,plain,(
% 1.81/0.60 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 1.81/0.60 inference(cnf_transformation,[],[f434])).
% 1.81/0.60 thf(f434,plain,(
% 1.81/0.60 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 1.81/0.60 inference(fool_elimination,[],[f433])).
% 1.81/0.60 thf(f433,plain,(
% 1.81/0.60 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)),
% 1.81/0.60 inference(rectify,[],[f74])).
% 1.81/0.60 thf(f74,axiom,(
% 1.81/0.60 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_imp)).
% 1.81/0.60 thf(f600,plain,(
% 1.81/0.60 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 1.81/0.60 inference(cnf_transformation,[],[f357])).
% 1.81/0.60 thf(f357,plain,(
% 1.81/0.60 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 1.81/0.60 inference(fool_elimination,[],[f81])).
% 1.81/0.60 thf(f81,axiom,(
% 1.81/0.60 ((^[X0 : $o] : (imp @ (d_not @ X0))) = l_or)),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_l_or)).
% 1.81/0.60 thf(f574,plain,(
% 1.81/0.60 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.81/0.60 inference(cnf_transformation,[],[f549])).
% 1.81/0.60 thf(f549,plain,(
% 1.81/0.60 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.81/0.60 inference(fool_elimination,[],[f217])).
% 1.81/0.60 thf(f217,axiom,(
% 1.81/0.60 (lessis = (^[X0 : $i, X1 : $i] : (l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))))),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_lessis)).
% 1.81/0.60 thf(f622,plain,(
% 1.81/0.60 (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]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ Y0 @ Y1))))))),
% 1.81/0.60 inference(definition_unfolding,[],[f556,f621,f619,f617])).
% 1.81/0.60 thf(f619,plain,(
% 1.81/0.60 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y0 @ Y1))))))),
% 1.81/0.60 inference(definition_unfolding,[],[f561,f576,f618])).
% 1.81/0.60 thf(f561,plain,(
% 1.81/0.60 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 1.81/0.60 inference(cnf_transformation,[],[f225])).
% 1.81/0.60 thf(f225,plain,(
% 1.81/0.60 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 1.81/0.60 inference(fool_elimination,[],[f205])).
% 1.81/0.60 thf(f205,axiom,(
% 1.81/0.60 (d_29_ii = (^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))))),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_d_29_ii)).
% 1.81/0.60 thf(f556,plain,(
% 1.81/0.60 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.81/0.60 inference(cnf_transformation,[],[f307])).
% 1.81/0.60 thf(f307,plain,(
% 1.81/0.60 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 1.81/0.60 inference(fool_elimination,[],[f216])).
% 1.81/0.60 thf(f216,axiom,(
% 1.81/0.60 ((^[X0 : $i, X1 : $i] : (l_or @ (d_29_ii @ X0 @ X1) @ (n_is @ X0 @ X1))) = moreis)),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_moreis)).
% 1.81/0.60 thf(f616,plain,(
% 1.81/0.60 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.81/0.60 inference(definition_unfolding,[],[f557,f559])).
% 1.81/0.60 thf(f559,plain,(
% 1.81/0.60 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.81/0.60 inference(cnf_transformation,[],[f345])).
% 1.81/0.60 thf(f345,plain,(
% 1.81/0.60 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.81/0.60 inference(fool_elimination,[],[f1])).
% 1.81/0.60 thf(f1,axiom,(
% 1.81/0.60 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_is_of)).
% 1.81/0.60 thf(f557,plain,(
% 1.81/0.60 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.81/0.60 inference(cnf_transformation,[],[f415])).
% 1.81/0.60 thf(f415,plain,(
% 1.81/0.60 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.81/0.60 inference(fool_elimination,[],[f414])).
% 1.81/0.60 thf(f414,plain,(
% 1.81/0.60 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.81/0.60 inference(rectify,[],[f2])).
% 1.81/0.60 thf(f2,axiom,(
% 1.81/0.60 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',def_all_of)).
% 1.81/0.60 thf(f613,plain,(
% 1.81/0.60 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0))))))))),
% 1.81/0.60 inference(cnf_transformation,[],[f482])).
% 1.81/0.60 thf(f482,plain,(
% 1.81/0.60 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((moreis @ Y0 @ Y1) => (lessis @ Y1 @ Y0))))))))),
% 1.81/0.60 inference(fool_elimination,[],[f481])).
% 1.81/0.60 thf(f481,plain,(
% 1.81/0.60 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((moreis @ X1 @ X3) => (lessis @ X3 @ X1))))))),
% 1.81/0.60 inference(rectify,[],[f219])).
% 1.81/0.60 thf(f219,negated_conjecture,(
% 1.81/0.60 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((moreis @ X0 @ X1) => (lessis @ X1 @ X0))))))),
% 1.81/0.60 inference(negated_conjecture,[],[f218])).
% 1.81/0.60 thf(f218,conjecture,(
% 1.81/0.60 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((moreis @ X0 @ X1) => (lessis @ X1 @ X0))))))),
% 1.81/0.60 file('/export/starexec/sandbox/tmp/tmp.JJt4Gunmj9/Vampire---4.8_16413',satz13)).
% 1.81/0.60 thf(f1036,plain,(
% 1.81/0.60 ~spl0_1),
% 1.81/0.60 inference(avatar_split_clause,[],[f750,f754])).
% 1.81/0.60 thf(f754,plain,(
% 1.81/0.60 spl0_1 <=> (sK1 = sK2)),
% 1.81/0.60 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 1.81/0.60 thf(f750,plain,(
% 1.81/0.60 (sK1 != sK2)),
% 1.81/0.60 inference(equality_proxy_clausification,[],[f748])).
% 1.81/0.60 thf(f748,plain,(
% 1.81/0.60 ((sK2 = sK1) = $false)),
% 1.81/0.60 inference(binary_proxy_clausification,[],[f746])).
% 1.81/0.60 thf(f761,plain,(
% 1.81/0.60 spl0_1 | spl0_2),
% 1.81/0.60 inference(avatar_split_clause,[],[f752,f758,f754])).
% 1.81/0.60 thf(f752,plain,(
% 1.81/0.60 (sK1 = sK2) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0))))))),
% 1.81/0.60 inference(equality_proxy_clausification,[],[f751])).
% 1.81/0.60 thf(f751,plain,(
% 1.81/0.60 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0)))))) | ($true = (sK1 = sK2))),
% 1.81/0.60 inference(binary_proxy_clausification,[],[f747])).
% 1.81/0.60 thf(f747,plain,(
% 1.81/0.60 ($true = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK1 = (n_pl @ sK2 @ Y0))))) => (sK1 = sK2)))),
% 1.81/0.60 inference(binary_proxy_clausification,[],[f744])).
% 1.81/0.60 % SZS output end Proof for Vampire---4
% 1.81/0.60 % (16562)------------------------------
% 1.81/0.60 % (16562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.81/0.60 % (16562)Termination reason: Refutation
% 1.81/0.60
% 1.81/0.60 % (16562)Memory used [KB]: 6524
% 1.81/0.60 % (16562)Time elapsed: 0.032 s
% 1.81/0.60 % (16562)Instructions burned: 97 (million)
% 1.81/0.60 % (16562)------------------------------
% 1.81/0.60 % (16562)------------------------------
% 1.81/0.60 % (16520)Success in time 0.228 s
% 1.81/0.60 % Vampire---4.8 exiting
%------------------------------------------------------------------------------