TSTP Solution File: NUM740^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM740^4 : 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 : n015.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 08:14:57 EDT 2024
% Result : Theorem 1.96s 0.66s
% Output : Refutation 1.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM740^4 : 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
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:48:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 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.HWLP26k1vI/Vampire---4.8_15394
% 0.14/0.40 % (15504)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)
% 0.14/0.40 % (15507)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)
% 0.14/0.40 % (15506)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.40 % (15505)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)
% 0.14/0.40 % (15508)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)
% 0.14/0.40 % (15509)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.40 % (15506)Instruction limit reached!
% 0.14/0.40 % (15506)------------------------------
% 0.14/0.40 % (15506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (15506)Termination reason: Unknown
% 0.14/0.40 % (15506)Termination phase: shuffling
% 0.14/0.40 % (15507)Instruction limit reached!
% 0.14/0.40 % (15507)------------------------------
% 0.14/0.40 % (15507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (15507)Termination reason: Unknown
% 0.14/0.40 % (15507)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (15507)Memory used [KB]: 1535
% 0.14/0.40 % (15507)Time elapsed: 0.004 s
% 0.14/0.40 % (15507)Instructions burned: 3 (million)
% 0.14/0.40 % (15507)------------------------------
% 0.14/0.40 % (15507)------------------------------
% 0.14/0.40
% 0.14/0.40 % (15506)Memory used [KB]: 1535
% 0.14/0.40 % (15506)Time elapsed: 0.004 s
% 0.14/0.40 % (15506)Instructions burned: 3 (million)
% 0.14/0.40 % (15506)------------------------------
% 0.14/0.40 % (15506)------------------------------
% 0.14/0.40 % (15504)Instruction limit reached!
% 0.14/0.40 % (15504)------------------------------
% 0.14/0.40 % (15504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (15504)Termination reason: Unknown
% 0.14/0.40 % (15504)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (15504)Memory used [KB]: 1535
% 0.14/0.40 % (15504)Time elapsed: 0.005 s
% 0.14/0.40 % (15504)Instructions burned: 5 (million)
% 0.14/0.40 % (15504)------------------------------
% 0.14/0.40 % (15504)------------------------------
% 0.14/0.40 % (15510)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)
% 0.14/0.40 % (15510)Instruction limit reached!
% 0.14/0.40 % (15510)------------------------------
% 0.14/0.40 % (15510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (15510)Termination reason: Unknown
% 0.14/0.40 % (15510)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (15510)Memory used [KB]: 1535
% 0.14/0.40 % (15510)Time elapsed: 0.004 s
% 0.14/0.40 % (15510)Instructions burned: 3 (million)
% 0.14/0.40 % (15510)------------------------------
% 0.14/0.40 % (15510)------------------------------
% 0.14/0.41 % (15509)Instruction limit reached!
% 0.14/0.41 % (15509)------------------------------
% 0.14/0.41 % (15509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (15509)Termination reason: Unknown
% 0.14/0.41 % (15509)Termination phase: shuffling
% 0.14/0.41
% 0.14/0.41 % (15509)Memory used [KB]: 1791
% 0.14/0.41 % (15509)Time elapsed: 0.012 s
% 0.14/0.41 % (15509)Instructions burned: 19 (million)
% 0.14/0.41 % (15509)------------------------------
% 0.14/0.41 % (15509)------------------------------
% 0.14/0.41 % (15503)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)
% 0.14/0.41 % (15512)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)
% 0.14/0.41 % (15505)Instruction limit reached!
% 0.14/0.41 % (15505)------------------------------
% 0.14/0.41 % (15505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (15505)Termination reason: Unknown
% 0.14/0.41 % (15505)Termination phase: shuffling
% 0.14/0.41
% 0.14/0.41 % (15505)Memory used [KB]: 1918
% 0.14/0.41 % (15505)Time elapsed: 0.017 s
% 0.14/0.41 % (15505)Instructions burned: 28 (million)
% 0.14/0.41 % (15505)------------------------------
% 0.14/0.41 % (15505)------------------------------
% 0.14/0.41 % (15511)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)
% 0.14/0.42 % (15513)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)
% 0.14/0.42 % (15513)Instruction limit reached!
% 0.14/0.42 % (15513)------------------------------
% 0.14/0.42 % (15513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (15513)Termination reason: Unknown
% 0.14/0.42 % (15513)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (15513)Memory used [KB]: 1535
% 0.14/0.42 % (15513)Time elapsed: 0.004 s
% 0.14/0.42 % (15513)Instructions burned: 3 (million)
% 0.14/0.42 % (15513)------------------------------
% 0.14/0.42 % (15513)------------------------------
% 0.14/0.42 % (15514)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)
% 0.14/0.42 % (15512)Instruction limit reached!
% 0.14/0.42 % (15512)------------------------------
% 0.14/0.42 % (15512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (15512)Termination reason: Unknown
% 0.14/0.42 % (15512)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (15512)Memory used [KB]: 1791
% 0.14/0.42 % (15512)Time elapsed: 0.008 s
% 0.14/0.42 % (15512)Instructions burned: 17 (million)
% 0.14/0.42 % (15512)------------------------------
% 0.14/0.42 % (15512)------------------------------
% 0.20/0.42 % (15515)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)
% 0.20/0.43 % (15515)Instruction limit reached!
% 0.20/0.43 % (15515)------------------------------
% 0.20/0.43 % (15515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (15515)Termination reason: Unknown
% 0.20/0.43 % (15515)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (15515)Memory used [KB]: 1663
% 0.20/0.43 % (15515)Time elapsed: 0.006 s
% 0.20/0.43 % (15515)Instructions burned: 7 (million)
% 0.20/0.43 % (15515)------------------------------
% 0.20/0.43 % (15515)------------------------------
% 0.20/0.43 % (15516)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)
% 0.20/0.43 % (15518)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)
% 0.20/0.43 % (15518)Instruction limit reached!
% 0.20/0.43 % (15518)------------------------------
% 0.20/0.43 % (15518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (15518)Termination reason: Unknown
% 0.20/0.43 % (15518)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (15518)Memory used [KB]: 1535
% 0.20/0.43 % (15518)Time elapsed: 0.003 s
% 0.20/0.43 % (15518)Instructions burned: 4 (million)
% 0.20/0.43 % (15518)------------------------------
% 0.20/0.43 % (15518)------------------------------
% 0.20/0.43 % (15517)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)
% 0.20/0.43 % (15511)Instruction limit reached!
% 0.20/0.43 % (15511)------------------------------
% 0.20/0.43 % (15511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (15511)Termination reason: Unknown
% 0.20/0.43 % (15511)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (15511)Memory used [KB]: 2174
% 0.20/0.43 % (15511)Time elapsed: 0.021 s
% 0.20/0.43 % (15511)Instructions burned: 37 (million)
% 0.20/0.43 % (15511)------------------------------
% 0.20/0.43 % (15511)------------------------------
% 0.20/0.43 % (15517)Instruction limit reached!
% 0.20/0.43 % (15517)------------------------------
% 0.20/0.43 % (15517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (15517)Termination reason: Unknown
% 0.20/0.43 % (15517)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (15517)Memory used [KB]: 1535
% 0.20/0.43 % (15517)Time elapsed: 0.003 s
% 0.20/0.43 % (15517)Instructions burned: 3 (million)
% 0.20/0.43 % (15517)------------------------------
% 0.20/0.43 % (15517)------------------------------
% 0.20/0.44 % (15516)Instruction limit reached!
% 0.20/0.44 % (15516)------------------------------
% 0.20/0.44 % (15516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (15516)Termination reason: Unknown
% 0.20/0.44 % (15516)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (15516)Memory used [KB]: 1791
% 0.20/0.44 % (15516)Time elapsed: 0.011 s
% 0.20/0.44 % (15516)Instructions burned: 17 (million)
% 0.20/0.44 % (15516)------------------------------
% 0.20/0.44 % (15516)------------------------------
% 0.20/0.44 % (15519)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)
% 0.20/0.44 % (15520)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)
% 0.20/0.45 % (15519)Instruction limit reached!
% 0.20/0.45 % (15519)------------------------------
% 0.20/0.45 % (15519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (15519)Termination reason: Unknown
% 0.20/0.45 % (15519)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (15519)Memory used [KB]: 1663
% 0.20/0.45 % (15519)Time elapsed: 0.006 s
% 0.20/0.45 % (15519)Instructions burned: 7 (million)
% 0.20/0.45 % (15519)------------------------------
% 0.20/0.45 % (15519)------------------------------
% 0.20/0.45 % (15520)Instruction limit reached!
% 0.20/0.45 % (15520)------------------------------
% 0.20/0.45 % (15520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (15520)Termination reason: Unknown
% 0.20/0.45 % (15520)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (15520)Memory used [KB]: 1535
% 0.20/0.45 % (15520)Time elapsed: 0.003 s
% 0.20/0.45 % (15520)Instructions burned: 4 (million)
% 0.20/0.45 % (15520)------------------------------
% 0.20/0.45 % (15520)------------------------------
% 0.20/0.45 % (15508)Refutation not found, incomplete strategy
% 0.20/0.45 % (15508)------------------------------
% 0.20/0.45 % (15508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (15508)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % (15508)Memory used [KB]: 6780
% 0.20/0.45 % (15508)Time elapsed: 0.050 s
% 0.20/0.45 % (15508)Instructions burned: 94 (million)
% 0.20/0.45 % (15508)------------------------------
% 0.20/0.45 % (15508)------------------------------
% 0.20/0.45 % (15521)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)
% 0.20/0.45 % (15522)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)
% 0.20/0.45 % (15521)Instruction limit reached!
% 0.20/0.45 % (15521)------------------------------
% 0.20/0.45 % (15521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (15521)Termination reason: Unknown
% 0.20/0.45 % (15521)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (15521)Memory used [KB]: 1535
% 0.20/0.45 % (15521)Time elapsed: 0.004 s
% 0.20/0.45 % (15521)Instructions burned: 4 (million)
% 0.20/0.45 % (15521)------------------------------
% 0.20/0.45 % (15521)------------------------------
% 0.20/0.45 % (15523)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)
% 0.20/0.46 % (15525)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)
% 0.20/0.46 % (15522)Instruction limit reached!
% 0.20/0.46 % (15522)------------------------------
% 0.20/0.46 % (15522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (15522)Termination reason: Unknown
% 0.20/0.46 % (15522)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (15522)Memory used [KB]: 1791
% 0.20/0.46 % (15522)Time elapsed: 0.012 s
% 0.20/0.46 % (15522)Instructions burned: 19 (million)
% 0.20/0.46 % (15522)------------------------------
% 0.20/0.46 % (15522)------------------------------
% 0.20/0.46 % (15524)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.20/0.46 % (15526)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)
% 0.20/0.46 % (15524)Instruction limit reached!
% 0.20/0.46 % (15524)------------------------------
% 0.20/0.46 % (15524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (15524)Termination reason: Unknown
% 0.20/0.46 % (15524)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (15524)Memory used [KB]: 1535
% 0.20/0.46 % (15524)Time elapsed: 0.005 s
% 0.20/0.46 % (15524)Instructions burned: 6 (million)
% 0.20/0.46 % (15524)------------------------------
% 0.20/0.46 % (15524)------------------------------
% 0.20/0.47 % (15527)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.20/0.47 % (15527)Instruction limit reached!
% 0.20/0.47 % (15527)------------------------------
% 0.20/0.47 % (15527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (15527)Termination reason: Unknown
% 0.20/0.47 % (15527)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (15527)Memory used [KB]: 1535
% 0.20/0.47 % (15527)Time elapsed: 0.005 s
% 0.20/0.47 % (15527)Instructions burned: 6 (million)
% 0.20/0.47 % (15527)------------------------------
% 0.20/0.47 % (15527)------------------------------
% 0.20/0.47 % (15526)Instruction limit reached!
% 0.20/0.47 % (15526)------------------------------
% 0.20/0.47 % (15526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (15526)Termination reason: Unknown
% 0.20/0.47 % (15526)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (15526)Memory used [KB]: 1791
% 0.20/0.47 % (15526)Time elapsed: 0.013 s
% 0.20/0.47 % (15526)Instructions burned: 21 (million)
% 0.20/0.47 % (15526)------------------------------
% 0.20/0.47 % (15526)------------------------------
% 0.20/0.47 % (15528)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 (2998ds/6Mi)
% 0.20/0.48 % (15529)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2998ds/377Mi)
% 0.20/0.48 % (15528)Instruction limit reached!
% 0.20/0.48 % (15528)------------------------------
% 0.20/0.48 % (15528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (15528)Termination reason: Unknown
% 0.20/0.48 % (15528)Termination phase: shuffling
% 0.20/0.48
% 0.20/0.48 % (15528)Memory used [KB]: 1535
% 0.20/0.48 % (15528)Time elapsed: 0.005 s
% 0.20/0.48 % (15528)Instructions burned: 6 (million)
% 0.20/0.48 % (15528)------------------------------
% 0.20/0.48 % (15528)------------------------------
% 0.20/0.48 % (15530)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 (2998ds/779Mi)
% 0.20/0.48 % (15503)Instruction limit reached!
% 0.20/0.48 % (15503)------------------------------
% 0.20/0.48 % (15503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (15503)Termination reason: Unknown
% 0.20/0.48 % (15503)Termination phase: Function definition elimination
% 0.20/0.48
% 0.20/0.48 % (15503)Memory used [KB]: 2430
% 0.20/0.48 % (15503)Time elapsed: 0.076 s
% 0.20/0.48 % (15503)Instructions burned: 184 (million)
% 0.20/0.48 % (15503)------------------------------
% 0.20/0.48 % (15503)------------------------------
% 0.20/0.49 % (15531)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)
% 0.20/0.49 % (15532)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)
% 0.20/0.50 % (15531)Instruction limit reached!
% 0.20/0.50 % (15531)------------------------------
% 0.20/0.50 % (15531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (15531)Termination reason: Unknown
% 0.20/0.50 % (15531)Termination phase: shuffling
% 0.20/0.50
% 0.20/0.50 % (15531)Memory used [KB]: 1791
% 0.20/0.50 % (15531)Time elapsed: 0.012 s
% 0.20/0.50 % (15531)Instructions burned: 19 (million)
% 0.20/0.50 % (15531)------------------------------
% 0.20/0.50 % (15531)------------------------------
% 0.20/0.50 % (15533)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.20/0.51 % (15533)Instruction limit reached!
% 0.20/0.51 % (15533)------------------------------
% 0.20/0.51 % (15533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (15533)Termination reason: Unknown
% 0.20/0.51 % (15533)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (15533)Memory used [KB]: 1791
% 0.20/0.51 % (15533)Time elapsed: 0.012 s
% 0.20/0.51 % (15533)Instructions burned: 18 (million)
% 0.20/0.51 % (15533)------------------------------
% 0.20/0.51 % (15533)------------------------------
% 0.20/0.51 % (15534)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)
% 0.20/0.51 % (15534)Instruction limit reached!
% 0.20/0.51 % (15534)------------------------------
% 0.20/0.51 % (15534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (15534)Termination reason: Unknown
% 0.20/0.51 % (15534)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (15534)Memory used [KB]: 1535
% 0.20/0.51 % (15534)Time elapsed: 0.004 s
% 0.20/0.51 % (15534)Instructions burned: 3 (million)
% 0.20/0.51 % (15534)------------------------------
% 0.20/0.51 % (15534)------------------------------
% 0.20/0.52 % (15525)Refutation not found, incomplete strategy
% 0.20/0.52 % (15525)------------------------------
% 0.20/0.52 % (15525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52 % (15525)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 % (15525)Memory used [KB]: 7164
% 0.20/0.52 % (15525)Time elapsed: 0.065 s
% 0.20/0.52 % (15525)Instructions burned: 159 (million)
% 0.20/0.52 % (15525)------------------------------
% 0.20/0.52 % (15525)------------------------------
% 0.20/0.52 % (15535)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)
% 0.20/0.53 % (15536)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)
% 0.20/0.53 % (15535)Instruction limit reached!
% 0.20/0.53 % (15535)------------------------------
% 0.20/0.53 % (15535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (15535)Termination reason: Unknown
% 0.20/0.53 % (15535)Termination phase: shuffling
% 0.20/0.53
% 0.20/0.53 % (15535)Memory used [KB]: 1918
% 0.20/0.53 % (15535)Time elapsed: 0.012 s
% 0.20/0.53 % (15535)Instructions burned: 30 (million)
% 0.20/0.53 % (15535)------------------------------
% 0.20/0.53 % (15535)------------------------------
% 0.20/0.53 % (15537)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)
% 0.20/0.54 % (15538)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)
% 0.20/0.54 % (15538)Instruction limit reached!
% 0.20/0.54 % (15538)------------------------------
% 0.20/0.54 % (15538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (15538)Termination reason: Unknown
% 0.20/0.54 % (15538)Termination phase: shuffling
% 0.20/0.54
% 0.20/0.54 % (15538)Memory used [KB]: 1535
% 0.20/0.54 % (15538)Time elapsed: 0.002 s
% 0.20/0.54 % (15538)Instructions burned: 3 (million)
% 0.20/0.54 % (15538)------------------------------
% 0.20/0.54 % (15538)------------------------------
% 0.20/0.54 % (15532)Refutation not found, incomplete strategy
% 0.20/0.54 % (15532)------------------------------
% 0.20/0.54 % (15532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54 % (15532)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54
% 0.20/0.54 % (15532)Memory used [KB]: 6908
% 0.20/0.54 % (15532)Time elapsed: 0.054 s
% 0.20/0.54 % (15532)Instructions burned: 123 (million)
% 0.20/0.54 % (15532)------------------------------
% 0.20/0.54 % (15532)------------------------------
% 0.20/0.55 % (15529)Instruction limit reached!
% 0.20/0.55 % (15529)------------------------------
% 0.20/0.55 % (15529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.55 % (15529)Termination reason: Unknown
% 0.20/0.55 % (15529)Termination phase: Function definition elimination
% 0.20/0.55
% 0.20/0.55 % (15529)Memory used [KB]: 2430
% 0.20/0.55 % (15529)Time elapsed: 0.070 s
% 0.20/0.55 % (15529)Instructions burned: 377 (million)
% 0.20/0.55 % (15529)------------------------------
% 0.20/0.55 % (15529)------------------------------
% 0.20/0.55 % (15539)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)
% 0.20/0.55 % (15541)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)
% 0.20/0.56 % (15540)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)
% 0.20/0.56 % (15537)Instruction limit reached!
% 0.20/0.56 % (15537)------------------------------
% 0.20/0.56 % (15537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56 % (15537)Termination reason: Unknown
% 0.20/0.56 % (15537)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (15537)Memory used [KB]: 2302
% 0.20/0.56 % (15537)Time elapsed: 0.029 s
% 0.20/0.56 % (15537)Instructions burned: 101 (million)
% 0.20/0.56 % (15537)------------------------------
% 0.20/0.56 % (15537)------------------------------
% 0.20/0.56 % (15536)Instruction limit reached!
% 0.20/0.56 % (15536)------------------------------
% 0.20/0.56 % (15536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56 % (15536)Termination reason: Unknown
% 0.20/0.56 % (15536)Termination phase: Function definition elimination
% 0.20/0.56
% 0.20/0.56 % (15536)Memory used [KB]: 2430
% 0.20/0.56 % (15536)Time elapsed: 0.037 s
% 0.20/0.56 % (15536)Instructions burned: 131 (million)
% 0.20/0.56 % (15536)------------------------------
% 0.20/0.56 % (15536)------------------------------
% 1.57/0.57 % (15539)Instruction limit reached!
% 1.57/0.57 % (15539)------------------------------
% 1.57/0.57 % (15539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.57 % (15539)Termination reason: Unknown
% 1.57/0.57 % (15539)Termination phase: shuffling
% 1.57/0.57
% 1.57/0.57 % (15539)Memory used [KB]: 1791
% 1.57/0.57 % (15539)Time elapsed: 0.008 s
% 1.57/0.57 % (15539)Instructions burned: 20 (million)
% 1.57/0.57 % (15539)------------------------------
% 1.57/0.57 % (15539)------------------------------
% 1.57/0.57 % (15542)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 (2997ds/39Mi)
% 1.57/0.57 % (15543)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 (2997ds/448Mi)
% 1.57/0.58 % (15544)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 (2997ds/46Mi)
% 1.57/0.58 % (15542)Instruction limit reached!
% 1.57/0.58 % (15542)------------------------------
% 1.57/0.58 % (15542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.57/0.58 % (15542)Termination reason: Unknown
% 1.57/0.58 % (15542)Termination phase: shuffling
% 1.57/0.58
% 1.57/0.58 % (15542)Memory used [KB]: 2174
% 1.57/0.58 % (15542)Time elapsed: 0.012 s
% 1.57/0.58 % (15542)Instructions burned: 39 (million)
% 1.57/0.58 % (15542)------------------------------
% 1.57/0.58 % (15542)------------------------------
% 1.69/0.58 % (15541)Instruction limit reached!
% 1.69/0.58 % (15541)------------------------------
% 1.69/0.58 % (15541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.58 % (15541)Termination reason: Unknown
% 1.69/0.58 % (15541)Termination phase: Function definition elimination
% 1.69/0.58
% 1.69/0.58 % (15541)Memory used [KB]: 2302
% 1.69/0.58 % (15541)Time elapsed: 0.032 s
% 1.69/0.58 % (15541)Instructions burned: 110 (million)
% 1.69/0.58 % (15541)------------------------------
% 1.69/0.58 % (15541)------------------------------
% 1.69/0.59 % (15545)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)
% 1.69/0.59 % (15544)Instruction limit reached!
% 1.69/0.59 % (15544)------------------------------
% 1.69/0.59 % (15544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.59 % (15544)Termination reason: Unknown
% 1.69/0.59 % (15544)Termination phase: shuffling
% 1.69/0.59
% 1.69/0.59 % (15544)Memory used [KB]: 2174
% 1.69/0.59 % (15544)Time elapsed: 0.016 s
% 1.69/0.59 % (15544)Instructions burned: 47 (million)
% 1.69/0.59 % (15544)------------------------------
% 1.69/0.59 % (15544)------------------------------
% 1.69/0.59 % (15546)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)
% 1.69/0.59 % (15540)Instruction limit reached!
% 1.69/0.59 % (15540)------------------------------
% 1.69/0.59 % (15540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.59 % (15540)Termination reason: Unknown
% 1.69/0.59 % (15540)Termination phase: Property scanning
% 1.69/0.59
% 1.69/0.59 % (15540)Memory used [KB]: 2302
% 1.69/0.59 % (15540)Time elapsed: 0.039 s
% 1.69/0.59 % (15540)Instructions burned: 88 (million)
% 1.69/0.59 % (15540)------------------------------
% 1.69/0.59 % (15540)------------------------------
% 1.69/0.60 % (15547)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)
% 1.69/0.61 % (15548)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 1.69/0.61 % (15545)Instruction limit reached!
% 1.69/0.61 % (15545)------------------------------
% 1.69/0.61 % (15545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.61 % (15545)Termination reason: Unknown
% 1.69/0.61 % (15545)Termination phase: Property scanning
% 1.69/0.61
% 1.69/0.61 % (15545)Memory used [KB]: 2302
% 1.69/0.61 % (15545)Time elapsed: 0.026 s
% 1.69/0.61 % (15545)Instructions burned: 98 (million)
% 1.69/0.61 % (15545)------------------------------
% 1.69/0.61 % (15545)------------------------------
% 1.69/0.62 % (15514)Instruction limit reached!
% 1.69/0.62 % (15514)------------------------------
% 1.69/0.62 % (15514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.69/0.62 % (15514)Termination reason: Unknown
% 1.69/0.62 % (15514)Termination phase: Function definition elimination
% 1.69/0.62
% 1.69/0.62 % (15514)Memory used [KB]: 2430
% 1.69/0.62 % (15514)Time elapsed: 0.199 s
% 1.69/0.62 % (15514)Instructions burned: 1041 (million)
% 1.69/0.62 % (15514)------------------------------
% 1.69/0.62 % (15514)------------------------------
% 1.69/0.62 % (15549)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2997ds/6Mi)
% 1.90/0.62 % (15549)Instruction limit reached!
% 1.90/0.62 % (15549)------------------------------
% 1.90/0.62 % (15549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.62 % (15549)Termination reason: Unknown
% 1.90/0.62 % (15549)Termination phase: shuffling
% 1.90/0.62
% 1.90/0.62 % (15549)Memory used [KB]: 1535
% 1.90/0.62 % (15549)Time elapsed: 0.003 s
% 1.90/0.62 % (15549)Instructions burned: 6 (million)
% 1.90/0.62 % (15549)------------------------------
% 1.90/0.62 % (15549)------------------------------
% 1.90/0.62 % (15550)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on Vampire---4 for (2997ds/1087Mi)
% 1.90/0.63 % (15548)Instruction limit reached!
% 1.90/0.63 % (15548)------------------------------
% 1.90/0.63 % (15548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.63 % (15548)Termination reason: Unknown
% 1.90/0.63 % (15548)Termination phase: shuffling
% 1.90/0.63
% 1.90/0.63 % (15548)Memory used [KB]: 2174
% 1.90/0.63 % (15548)Time elapsed: 0.019 s
% 1.90/0.63 % (15548)Instructions burned: 40 (million)
% 1.90/0.63 % (15548)------------------------------
% 1.90/0.63 % (15548)------------------------------
% 1.90/0.63 % (15551)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2997ds/47Mi)
% 1.96/0.64 % (15547)Instruction limit reached!
% 1.96/0.64 % (15547)------------------------------
% 1.96/0.64 % (15547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.96/0.64 % (15547)Termination reason: Unknown
% 1.96/0.64 % (15547)Termination phase: Function definition elimination
% 1.96/0.64
% 1.96/0.64 % (15547)Memory used [KB]: 2430
% 1.96/0.64 % (15547)Time elapsed: 0.039 s
% 1.96/0.64 % (15547)Instructions burned: 155 (million)
% 1.96/0.64 % (15547)------------------------------
% 1.96/0.64 % (15547)------------------------------
% 1.96/0.64 % (15552)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (2997ds/44Mi)
% 1.96/0.64 % (15551)Instruction limit reached!
% 1.96/0.64 % (15551)------------------------------
% 1.96/0.64 % (15551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.96/0.64 % (15551)Termination reason: Unknown
% 1.96/0.64 % (15551)Termination phase: Property scanning
% 1.96/0.64
% 1.96/0.64 % (15551)Memory used [KB]: 2174
% 1.96/0.64 % (15551)Time elapsed: 0.015 s
% 1.96/0.64 % (15551)Instructions burned: 49 (million)
% 1.96/0.64 % (15551)------------------------------
% 1.96/0.64 % (15551)------------------------------
% 1.96/0.65 % (15553)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on Vampire---4 for (2997ds/432Mi)
% 1.96/0.65 % (15554)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2997ds/62Mi)
% 1.96/0.65 % (15530)First to succeed.
% 1.96/0.66 % (15552)Instruction limit reached!
% 1.96/0.66 % (15552)------------------------------
% 1.96/0.66 % (15552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.96/0.66 % (15552)Termination reason: Unknown
% 1.96/0.66 % (15530)Refutation found. Thanks to Tanya!
% 1.96/0.66 % SZS status Theorem for Vampire---4
% 1.96/0.66 % SZS output start Proof for Vampire---4
% 1.96/0.66 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 1.96/0.66 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 1.96/0.66 thf(func_def_3, type, eps: ($i > $o) > $i).
% 1.96/0.66 thf(func_def_4, type, in: $i > $i > $o).
% 1.96/0.66 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 1.96/0.66 thf(func_def_7, type, union: $i > $i).
% 1.96/0.66 thf(func_def_8, type, power: $i > $i).
% 1.96/0.66 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 1.96/0.66 thf(func_def_10, type, d_Union_closed: $i > $o).
% 1.96/0.66 thf(func_def_11, type, d_Power_closed: $i > $o).
% 1.96/0.66 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 1.96/0.66 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 1.96/0.66 thf(func_def_14, type, univof: $i > $i).
% 1.96/0.66 thf(func_def_15, type, if: $o > $i > $i > $i).
% 1.96/0.66 thf(func_def_16, type, nIn: $i > $i > $o).
% 1.96/0.66 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 1.96/0.66 thf(func_def_18, type, d_Sing: $i > $i).
% 1.96/0.66 thf(func_def_19, type, binunion: $i > $i > $i).
% 1.96/0.66 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 1.96/0.66 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 1.96/0.66 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 1.96/0.66 thf(func_def_23, type, setminus: $i > $i > $i).
% 1.96/0.66 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 1.96/0.66 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 1.96/0.66 thf(func_def_26, type, ordsucc: $i > $i).
% 1.96/0.66 thf(func_def_27, type, nat_p: $i > $o).
% 1.96/0.66 thf(func_def_29, type, d_Inj1: $i > $i).
% 1.96/0.66 thf(func_def_30, type, d_Inj0: $i > $i).
% 1.96/0.66 thf(func_def_31, type, d_Unj: $i > $i).
% 1.96/0.66 thf(func_def_32, type, pair: $i > $i > $i).
% 1.96/0.66 thf(func_def_33, type, proj0: $i > $i).
% 1.96/0.66 thf(func_def_34, type, proj1: $i > $i).
% 1.96/0.66 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 1.96/0.66 thf(func_def_36, type, setprod: $i > $i > $i).
% 1.96/0.66 thf(func_def_37, type, ap: $i > $i > $i).
% 1.96/0.66 thf(func_def_38, type, pair_p: $i > $o).
% 1.96/0.66 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 1.96/0.66 thf(func_def_40, type, imp: $o > $o > $o).
% 1.96/0.66 thf(func_def_41, type, d_not: $o > $o).
% 1.96/0.66 thf(func_def_42, type, wel: $o > $o).
% 1.96/0.66 thf(func_def_44, type, l_ec: $o > $o > $o).
% 1.96/0.66 thf(func_def_45, type, d_and: $o > $o > $o).
% 1.96/0.66 thf(func_def_46, type, l_or: $o > $o > $o).
% 1.96/0.66 thf(func_def_47, type, orec: $o > $o > $o).
% 1.96/0.66 thf(func_def_48, type, l_iff: $o > $o > $o).
% 1.96/0.66 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 1.96/0.66 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 1.96/0.66 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 1.96/0.66 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 1.96/0.66 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 1.96/0.66 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 1.96/0.66 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 1.96/0.66 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 1.96/0.66 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 1.96/0.66 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 1.96/0.66 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 1.96/0.66 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 1.96/0.66 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_72, type, first: $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_73, type, second: $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_80, type, r_ec: $o > $o > $o).
% 1.96/0.66 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_82, type, empty: $i > $i > $o).
% 1.96/0.66 thf(func_def_83, type, nonempty: $i > $i > $o).
% 1.96/0.66 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 1.96/0.66 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 1.96/0.66 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 1.96/0.66 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 1.96/0.66 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 1.96/0.66 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 1.96/0.66 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 1.96/0.66 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 1.96/0.66 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 1.96/0.66 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_103, type, n_is: $i > $i > $o).
% 1.96/0.66 thf(func_def_104, type, nis: $i > $i > $o).
% 1.96/0.66 thf(func_def_105, type, n_in: $i > $i > $o).
% 1.96/0.66 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 1.96/0.66 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 1.96/0.66 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 1.96/0.66 thf(func_def_110, type, cond1: $i > $o).
% 1.96/0.66 thf(func_def_111, type, cond2: $i > $o).
% 1.96/0.66 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 1.96/0.66 thf(func_def_113, type, d_22_prop1: $i > $o).
% 1.96/0.66 thf(func_def_114, type, d_23_prop1: $i > $o).
% 1.96/0.66 thf(func_def_115, type, d_24_prop1: $i > $o).
% 1.96/0.66 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 1.96/0.66 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_118, type, prop4: $i > $o).
% 1.96/0.66 thf(func_def_119, type, d_24_g: $i > $i).
% 1.96/0.66 thf(func_def_120, type, plus: $i > $i).
% 1.96/0.66 thf(func_def_121, type, n_pl: $i > $i > $i).
% 1.96/0.66 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 1.96/0.66 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 1.96/0.66 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 1.96/0.66 thf(func_def_128, type, iii: $i > $i > $o).
% 1.96/0.66 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 1.96/0.66 thf(func_def_130, type, moreis: $i > $i > $o).
% 1.96/0.66 thf(func_def_131, type, lessis: $i > $i > $o).
% 1.96/0.66 thf(func_def_132, type, lbprop: ($i > $o) > $i > $i > $o).
% 1.96/0.66 thf(func_def_133, type, n_lb: ($i > $o) > $i > $o).
% 1.96/0.66 thf(func_def_134, type, min: ($i > $o) > $i > $o).
% 1.96/0.66 thf(func_def_135, type, d_428_prop1: $i > $i > $o).
% 1.96/0.66 thf(func_def_136, type, d_428_prop2: $i > $i > $o).
% 1.96/0.66 thf(func_def_137, type, d_428_prop4: $i > $o).
% 1.96/0.66 thf(func_def_139, type, d_428_g: $i > $i).
% 1.96/0.66 thf(func_def_140, type, times: $i > $i).
% 1.96/0.66 thf(func_def_141, type, n_ts: $i > $i > $i).
% 1.96/0.66 thf(func_def_142, type, d_429_prop1: $i > $i > $o).
% 1.96/0.66 thf(func_def_143, type, d_430_prop1: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_144, type, d_431_prop1: $i > $i > $i > $o).
% 1.96/0.66 thf(func_def_145, type, n_mn: $i > $i > $i).
% 1.96/0.66 thf(func_def_146, type, d_1to: $i > $i).
% 1.96/0.66 thf(func_def_147, type, outn: $i > $i > $i).
% 1.96/0.66 thf(func_def_148, type, inn: $i > $i > $i).
% 1.96/0.66 thf(func_def_150, type, singlet_u0: $i > $i).
% 1.96/0.66 thf(func_def_154, type, pair_u0: $i > $i).
% 1.96/0.66 thf(func_def_155, type, pair1type: $i > $i).
% 1.96/0.66 thf(func_def_156, type, pair1: $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_157, type, first1: $i > $i > $i).
% 1.96/0.66 thf(func_def_158, type, second1: $i > $i > $i).
% 1.96/0.66 thf(func_def_159, type, pair_q0: $i > $i > $i).
% 1.96/0.66 thf(func_def_160, type, d_1out: $i > $i).
% 1.96/0.66 thf(func_def_161, type, xout: $i > $i).
% 1.96/0.66 thf(func_def_162, type, left1to: $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_163, type, right1to: $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_164, type, left: $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_165, type, right: $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_166, type, left_f1: $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_167, type, left_f2: $i > $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_169, type, n_fr: $i > $i > $i).
% 1.96/0.66 thf(func_def_170, type, num: $i > $i).
% 1.96/0.66 thf(func_def_171, type, den: $i > $i).
% 1.96/0.66 thf(func_def_172, type, n_eq: $i > $i > $o).
% 1.96/0.66 thf(func_def_173, type, moref: $i > $i > $o).
% 1.96/0.66 thf(func_def_174, type, lessf: $i > $i > $o).
% 1.96/0.66 thf(func_def_175, type, moreq: $i > $i > $o).
% 1.96/0.66 thf(func_def_176, type, lesseq: $i > $i > $o).
% 1.96/0.66 thf(func_def_197, type, sK1: $i > $i > $i > $i).
% 1.96/0.66 thf(func_def_200, type, sK4: ($i > $i) > ($i > $i) > $i > $i).
% 1.96/0.66 thf(func_def_201, type, sK5: ($i > $o) > $i).
% 1.96/0.66 thf(func_def_202, type, sK6: ($i > $i) > $i > ($i > $i) > $i).
% 1.96/0.66 thf(func_def_203, type, ph7: !>[X0: $tType]:(X0)).
% 1.96/0.66 thf(f3612,plain,(
% 1.96/0.66 $false),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3610])).
% 1.96/0.66 thf(f3610,plain,(
% 1.96/0.66 ($true = $false)),
% 1.96/0.66 inference(backward_demodulation,[],[f3531,f3609])).
% 1.96/0.66 thf(f3609,plain,(
% 1.96/0.66 ((d_not @ $false) = $false)),
% 1.96/0.66 inference(forward_demodulation,[],[f3510,f3586])).
% 1.96/0.66 thf(f3586,plain,(
% 1.96/0.66 ((moref @ sK2 @ sK3) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3585])).
% 1.96/0.66 thf(f3585,plain,(
% 1.96/0.66 ((moref @ sK2 @ sK3) = $false) | ($true = $false)),
% 1.96/0.66 inference(forward_demodulation,[],[f3584,f2631])).
% 1.96/0.66 thf(f2631,plain,(
% 1.96/0.66 ((in @ sK3 @ frac) = $true)),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2629])).
% 1.96/0.66 thf(f2629,plain,(
% 1.96/0.66 (((in @ sK3 @ frac) => (((d_not @ (moref @ sK2 @ sK3)) => (n_eq @ sK2 @ sK3)) => ((d_not @ (lessf @ sK3 @ sK2)) => (n_eq @ sK3 @ sK2)))) = $false)),
% 1.96/0.66 inference(beta_eta_normalization,[],[f2628])).
% 1.96/0.66 thf(f2628,plain,(
% 1.96/0.66 (((^[Y0 : $i]: ((in @ Y0 @ frac) => (((d_not @ (moref @ sK2 @ Y0)) => (n_eq @ sK2 @ Y0)) => ((d_not @ (lessf @ Y0 @ sK2)) => (n_eq @ Y0 @ sK2))))) @ sK3) = $false)),
% 1.96/0.66 inference(sigma_clausification,[],[f2626])).
% 1.96/0.66 thf(f2626,plain,(
% 1.96/0.66 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (((d_not @ (moref @ sK2 @ Y0)) => (n_eq @ sK2 @ Y0)) => ((d_not @ (lessf @ Y0 @ sK2)) => (n_eq @ Y0 @ sK2)))))) = $false)),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2625])).
% 1.96/0.66 thf(f2625,plain,(
% 1.96/0.66 ($false = ((in @ sK2 @ frac) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (((d_not @ (moref @ sK2 @ Y0)) => (n_eq @ sK2 @ Y0)) => ((d_not @ (lessf @ Y0 @ sK2)) => (n_eq @ Y0 @ sK2))))))))),
% 1.96/0.66 inference(beta_eta_normalization,[],[f2624])).
% 1.96/0.66 thf(f2624,plain,(
% 1.96/0.66 (((^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => (((d_not @ (moref @ Y0 @ Y1)) => (n_eq @ Y0 @ Y1)) => ((d_not @ (lessf @ Y1 @ Y0)) => (n_eq @ Y1 @ Y0)))))))) @ sK2) = $false)),
% 1.96/0.66 inference(sigma_clausification,[],[f2623])).
% 1.96/0.66 thf(f2623,plain,(
% 1.96/0.66 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => (((d_not @ (moref @ Y0 @ Y1)) => (n_eq @ Y0 @ Y1)) => ((d_not @ (lessf @ Y1 @ Y0)) => (n_eq @ Y1 @ Y0))))))))) = $false)),
% 1.96/0.66 inference(not_proxy_clausification,[],[f1435])).
% 1.96/0.66 thf(f1435,plain,(
% 1.96/0.66 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => (((d_not @ (moref @ Y0 @ Y1)) => (n_eq @ Y0 @ Y1)) => ((d_not @ (lessf @ Y1 @ Y0)) => (n_eq @ Y1 @ Y0)))))))))) = $true)),
% 1.96/0.66 inference(beta_eta_normalization,[],[f1364])).
% 1.96/0.66 thf(f1364,plain,(
% 1.96/0.66 ((~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[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 @ frac)) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ (moref @ Y2 @ Y3) @ (n_eq @ Y2 @ Y3))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ (lessf @ Y2 @ Y3) @ (n_eq @ Y2 @ Y3))))) @ Y1 @ Y0))))))) = $true)),
% 1.96/0.66 inference(definition_unfolding,[],[f1182,f1211,f1211,f1225,f1230])).
% 1.96/0.66 thf(f1230,plain,(
% 1.96/0.66 (lesseq = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ (d_not @ Y2))) @ (lessf @ Y0 @ Y1) @ (n_eq @ Y0 @ Y1))))))),
% 1.96/0.66 inference(definition_unfolding,[],[f1068,f1220])).
% 1.96/0.66 thf(f1220,plain,(
% 1.96/0.66 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ (d_not @ Y0))))),
% 1.96/0.66 inference(definition_unfolding,[],[f1056,f1162])).
% 1.96/0.66 thf(f1162,plain,(
% 1.96/0.66 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 1.96/0.66 inference(cnf_transformation,[],[f992])).
% 1.96/0.66 thf(f992,plain,(
% 1.96/0.66 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 1.96/0.66 inference(fool_elimination,[],[f991])).
% 1.96/0.66 thf(f991,plain,(
% 1.96/0.66 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))),
% 1.96/0.66 inference(rectify,[],[f74])).
% 1.96/0.66 thf(f74,axiom,(
% 1.96/0.66 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))),
% 1.96/0.66 file('/export/starexec/sandbox/tmp/tmp.HWLP26k1vI/Vampire---4.8_15394',def_imp)).
% 1.96/0.66 thf(f1056,plain,(
% 1.96/0.66 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 1.96/0.66 inference(cnf_transformation,[],[f459])).
% 1.96/0.66 thf(f459,plain,(
% 1.96/0.66 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 1.96/0.66 inference(fool_elimination,[],[f81])).
% 1.96/0.66 thf(f81,axiom,(
% 1.96/0.66 ((^[X0 : $o] : (imp @ (d_not @ X0))) = l_or)),
% 1.96/0.66 file('/export/starexec/sandbox/tmp/tmp.HWLP26k1vI/Vampire---4.8_15394',def_l_or)).
% 1.96/0.66 thf(f1068,plain,(
% 1.96/0.66 (lesseq = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (lessf @ Y0 @ Y1) @ (n_eq @ Y0 @ Y1))))))),
% 1.96/0.66 inference(cnf_transformation,[],[f539])).
% 1.96/0.66 thf(f539,plain,(
% 1.96/0.66 (lesseq = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (lessf @ Y0 @ Y1) @ (n_eq @ Y0 @ Y1))))))),
% 1.96/0.66 inference(fool_elimination,[],[f375])).
% 1.96/0.66 thf(f375,axiom,(
% 1.96/0.66 ((^[X0 : $i, X1 : $i] : (l_or @ (lessf @ X0 @ X1) @ (n_eq @ X0 @ X1))) = lesseq)),
% 1.96/0.66 file('/export/starexec/sandbox/tmp/tmp.HWLP26k1vI/Vampire---4.8_15394',def_lesseq)).
% 1.96/0.66 thf(f1225,plain,(
% 1.96/0.66 (moreq = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ (d_not @ Y2))) @ (moref @ Y0 @ Y1) @ (n_eq @ Y0 @ Y1))))))),
% 1.96/0.66 inference(definition_unfolding,[],[f1164,f1220])).
% 1.96/0.66 thf(f1164,plain,(
% 1.96/0.66 (moreq = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (moref @ Y0 @ Y1) @ (n_eq @ Y0 @ Y1))))))),
% 1.96/0.66 inference(cnf_transformation,[],[f509])).
% 1.96/0.66 thf(f509,plain,(
% 1.96/0.66 (moreq = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (moref @ Y0 @ Y1) @ (n_eq @ Y0 @ Y1))))))),
% 1.96/0.66 inference(fool_elimination,[],[f374])).
% 1.96/0.66 thf(f374,axiom,(
% 1.96/0.66 (moreq = (^[X0 : $i, X1 : $i] : (l_or @ (moref @ X0 @ X1) @ (n_eq @ X0 @ X1))))),
% 1.96/0.66 file('/export/starexec/sandbox/tmp/tmp.HWLP26k1vI/Vampire---4.8_15394',def_moreq)).
% 1.96/0.66 thf(f1211,plain,(
% 1.96/0.66 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.96/0.66 inference(definition_unfolding,[],[f1140,f1173])).
% 1.96/0.66 thf(f1173,plain,(
% 1.96/0.66 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.96/0.66 inference(cnf_transformation,[],[f633])).
% 1.96/0.66 thf(f633,plain,(
% 1.96/0.66 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 1.96/0.66 inference(fool_elimination,[],[f1])).
% 1.96/0.66 thf(f1,axiom,(
% 1.96/0.66 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 1.96/0.66 file('/export/starexec/sandbox/tmp/tmp.HWLP26k1vI/Vampire---4.8_15394',def_is_of)).
% 1.96/0.66 thf(f1140,plain,(
% 1.96/0.66 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.96/0.66 inference(cnf_transformation,[],[f498])).
% 1.96/0.66 thf(f498,plain,(
% 1.96/0.66 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.96/0.66 inference(fool_elimination,[],[f497])).
% 1.96/0.66 thf(f497,plain,(
% 1.96/0.66 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 1.96/0.66 inference(rectify,[],[f2])).
% 1.96/0.66 thf(f2,axiom,(
% 1.96/0.66 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 1.96/0.66 file('/export/starexec/sandbox/tmp/tmp.HWLP26k1vI/Vampire---4.8_15394',def_all_of)).
% 1.96/0.66 thf(f1182,plain,(
% 1.96/0.66 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moreq @ Y0 @ Y1) => (lesseq @ Y1 @ Y0))))))) = $true)),
% 1.96/0.66 inference(cnf_transformation,[],[f426])).
% 1.96/0.66 thf(f426,plain,(
% 1.96/0.66 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moreq @ Y0 @ Y1) => (lesseq @ Y1 @ Y0))))))) = $true)),
% 1.96/0.66 inference(fool_elimination,[],[f425])).
% 1.96/0.66 thf(f425,plain,(
% 1.96/0.66 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ frac)) @ (^[X3 : $i] : ((moreq @ X1 @ X3) => (lesseq @ X3 @ X1))))))),
% 1.96/0.66 inference(rectify,[],[f387])).
% 1.96/0.66 thf(f387,negated_conjecture,(
% 1.96/0.66 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((moreq @ X0 @ X1) => (lesseq @ X1 @ X0))))))),
% 1.96/0.66 inference(negated_conjecture,[],[f386])).
% 1.96/0.66 thf(f386,conjecture,(
% 1.96/0.66 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((moreq @ X0 @ X1) => (lesseq @ X1 @ X0))))))),
% 1.96/0.66 file('/export/starexec/sandbox/tmp/tmp.HWLP26k1vI/Vampire---4.8_15394',satz48)).
% 1.96/0.66 thf(f3584,plain,(
% 1.96/0.66 ((moref @ sK2 @ sK3) = $false) | ((in @ sK3 @ frac) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3583])).
% 1.96/0.66 thf(f3583,plain,(
% 1.96/0.66 ((in @ sK3 @ frac) = $false) | ((moref @ sK2 @ sK3) = $false) | ($true = $false)),
% 1.96/0.66 inference(forward_demodulation,[],[f3581,f2627])).
% 1.96/0.66 thf(f2627,plain,(
% 1.96/0.66 ((in @ sK2 @ frac) = $true)),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2625])).
% 1.96/0.66 thf(f3581,plain,(
% 1.96/0.66 ((in @ sK2 @ frac) = $false) | ((moref @ sK2 @ sK3) = $false) | ((in @ sK3 @ frac) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3579])).
% 1.96/0.66 thf(f3579,plain,(
% 1.96/0.66 ((in @ sK3 @ frac) = $false) | ($true = $false) | ((moref @ sK2 @ sK3) = $false) | ((in @ sK2 @ frac) = $false)),
% 1.96/0.66 inference(superposition,[],[f3283,f3573])).
% 1.96/0.66 thf(f3573,plain,(
% 1.96/0.66 ((lessf @ sK3 @ sK2) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3570])).
% 1.96/0.66 thf(f3570,plain,(
% 1.96/0.66 ($true = $false) | ((lessf @ sK3 @ sK2) = $false)),
% 1.96/0.66 inference(backward_demodulation,[],[f3309,f3569])).
% 1.96/0.66 thf(f3569,plain,(
% 1.96/0.66 ((d_not @ $true) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3561])).
% 1.96/0.66 thf(f3561,plain,(
% 1.96/0.66 ((d_not @ $true) = $false) | ($true = $false)),
% 1.96/0.66 inference(backward_demodulation,[],[f3509,f3531])).
% 1.96/0.66 thf(f3509,plain,(
% 1.96/0.66 ((d_not @ $true) = $false) | ((d_not @ $false) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3503])).
% 1.96/0.66 thf(f3503,plain,(
% 1.96/0.66 ((d_not @ $true) = $false) | ((d_not @ $false) = $false) | ($true = $false)),
% 1.96/0.66 inference(backward_demodulation,[],[f3423,f3496])).
% 1.96/0.66 thf(f3496,plain,(
% 1.96/0.66 ((n_eq @ sK2 @ sK3) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3495])).
% 1.96/0.66 thf(f3495,plain,(
% 1.96/0.66 ($true = $false) | ((n_eq @ sK2 @ sK3) = $false)),
% 1.96/0.66 inference(forward_demodulation,[],[f3494,f2627])).
% 1.96/0.66 thf(f3494,plain,(
% 1.96/0.66 ((n_eq @ sK2 @ sK3) = $false) | ((in @ sK2 @ frac) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3493])).
% 1.96/0.66 thf(f3493,plain,(
% 1.96/0.66 ((in @ sK2 @ frac) = $false) | ($true = $false) | ((n_eq @ sK2 @ sK3) = $false)),
% 1.96/0.66 inference(forward_demodulation,[],[f3492,f2631])).
% 1.96/0.66 thf(f3492,plain,(
% 1.96/0.66 ((in @ sK3 @ frac) = $false) | ((n_eq @ sK2 @ sK3) = $false) | ((in @ sK2 @ frac) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3483])).
% 1.96/0.66 thf(f3483,plain,(
% 1.96/0.66 ((in @ sK3 @ frac) = $false) | ((in @ sK2 @ frac) = $false) | ((n_eq @ sK2 @ sK3) = $false) | ($true = $false)),
% 1.96/0.66 inference(superposition,[],[f2635,f2169])).
% 1.96/0.66 thf(f2169,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : (((n_eq @ X2 @ X1) = $true) | ((in @ X1 @ frac) = $false) | ((n_eq @ X1 @ X2) = $false) | ((in @ X2 @ frac) = $false)) )),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2168])).
% 1.96/0.66 thf(f2168,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ frac) = $false) | ((in @ X1 @ frac) = $false) | (((n_eq @ X1 @ X2) => (n_eq @ X2 @ X1)) = $true)) )),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2167])).
% 1.96/0.66 thf(f2167,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ frac) => ((n_eq @ X1 @ X2) => (n_eq @ X2 @ X1))) = $true) | ((in @ X1 @ frac) = $false)) )),
% 1.96/0.66 inference(beta_eta_normalization,[],[f2166])).
% 1.96/0.66 thf(f2166,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ frac) => ((n_eq @ X1 @ Y0) => (n_eq @ Y0 @ X1)))) @ X2) = $true) | ((in @ X1 @ frac) = $false)) )),
% 1.96/0.66 inference(pi_clausification,[],[f2165])).
% 1.96/0.66 thf(f2165,plain,(
% 1.96/0.66 ( ! [X1 : $i] : (((in @ X1 @ frac) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => ((n_eq @ X1 @ Y0) => (n_eq @ Y0 @ X1))))) = $true)) )),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2164])).
% 1.96/0.66 thf(f2164,plain,(
% 1.96/0.66 ( ! [X1 : $i] : ((((in @ X1 @ frac) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => ((n_eq @ X1 @ Y0) => (n_eq @ Y0 @ X1)))))) = $true)) )),
% 1.96/0.66 inference(beta_eta_normalization,[],[f2163])).
% 1.96/0.66 thf(f2163,plain,(
% 1.96/0.66 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((n_eq @ Y0 @ Y1) => (n_eq @ Y1 @ Y0))))))) @ X1) = $true)) )),
% 1.96/0.66 inference(pi_clausification,[],[f1479])).
% 1.96/0.66 thf(f1479,plain,(
% 1.96/0.66 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((n_eq @ Y0 @ Y1) => (n_eq @ Y1 @ Y0)))))))) = $true)),
% 1.96/0.66 inference(beta_eta_normalization,[],[f1321])).
% 1.96/0.66 thf(f1321,plain,(
% 1.96/0.66 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[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 @ frac)) @ (^[Y1 : $i]: ((n_eq @ Y0 @ Y1) => (n_eq @ Y1 @ Y0)))))) = $true)),
% 1.96/0.66 inference(definition_unfolding,[],[f1124,f1211,f1211])).
% 1.96/0.66 thf(f1124,plain,(
% 1.96/0.66 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((n_eq @ Y0 @ Y1) => (n_eq @ Y1 @ Y0)))))) = $true)),
% 1.96/0.66 inference(cnf_transformation,[],[f938])).
% 1.96/0.66 thf(f938,plain,(
% 1.96/0.66 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((n_eq @ Y0 @ Y1) => (n_eq @ Y1 @ Y0)))))) = $true)),
% 1.96/0.66 inference(fool_elimination,[],[f937])).
% 1.96/0.66 thf(f937,plain,(
% 1.96/0.66 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ frac)) @ (^[X3 : $i] : ((n_eq @ X1 @ X3) => (n_eq @ X3 @ X1))))))),
% 1.96/0.66 inference(rectify,[],[f359])).
% 1.96/0.66 thf(f359,axiom,(
% 1.96/0.66 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((n_eq @ X0 @ X1) => (n_eq @ X1 @ X0))))))),
% 1.96/0.66 file('/export/starexec/sandbox/tmp/tmp.HWLP26k1vI/Vampire---4.8_15394',satz38)).
% 1.96/0.66 thf(f2635,plain,(
% 1.96/0.66 ((n_eq @ sK3 @ sK2) = $false)),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2632])).
% 1.96/0.66 thf(f2632,plain,(
% 1.96/0.66 (((d_not @ (lessf @ sK3 @ sK2)) => (n_eq @ sK3 @ sK2)) = $false)),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2630])).
% 1.96/0.66 thf(f2630,plain,(
% 1.96/0.66 ((((d_not @ (moref @ sK2 @ sK3)) => (n_eq @ sK2 @ sK3)) => ((d_not @ (lessf @ sK3 @ sK2)) => (n_eq @ sK3 @ sK2))) = $false)),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2629])).
% 1.96/0.66 thf(f3423,plain,(
% 1.96/0.66 ((n_eq @ sK2 @ sK3) = $true) | ((d_not @ $false) = $false) | ((d_not @ $true) = $false)),
% 1.96/0.66 inference(duplicate_literal_removal,[],[f3422])).
% 1.96/0.66 thf(f3422,plain,(
% 1.96/0.66 ((d_not @ $false) = $false) | ((n_eq @ sK2 @ sK3) = $true) | ((d_not @ $true) = $false) | ((n_eq @ sK2 @ sK3) = $true)),
% 1.96/0.66 inference(superposition,[],[f2634,f3383])).
% 1.96/0.66 thf(f3383,plain,(
% 1.96/0.66 ((moref @ sK2 @ sK3) = $false) | ((d_not @ $true) = $false) | ((n_eq @ sK2 @ sK3) = $true)),
% 1.96/0.66 inference(fool_paramodulation,[],[f2634])).
% 1.96/0.66 thf(f2634,plain,(
% 1.96/0.66 ((d_not @ (moref @ sK2 @ sK3)) = $false) | ((n_eq @ sK2 @ sK3) = $true)),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2633])).
% 1.96/0.66 thf(f2633,plain,(
% 1.96/0.66 ($true = ((d_not @ (moref @ sK2 @ sK3)) => (n_eq @ sK2 @ sK3)))),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2630])).
% 1.96/0.66 thf(f3309,plain,(
% 1.96/0.66 ((lessf @ sK3 @ sK2) = $false) | ((d_not @ $true) = $true)),
% 1.96/0.66 inference(fool_paramodulation,[],[f2636])).
% 1.96/0.66 thf(f2636,plain,(
% 1.96/0.66 ((d_not @ (lessf @ sK3 @ sK2)) = $true)),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f2632])).
% 1.96/0.66 thf(f3283,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : (((lessf @ X2 @ X1) = $true) | ((moref @ X1 @ X2) = $false) | ((in @ X1 @ frac) = $false) | ((in @ X2 @ frac) = $false)) )),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f3282])).
% 1.96/0.66 thf(f3282,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ frac) = $false) | (((moref @ X1 @ X2) => (lessf @ X2 @ X1)) = $true) | ((in @ X1 @ frac) = $false)) )),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f3281])).
% 1.96/0.66 thf(f3281,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ frac) => ((moref @ X1 @ X2) => (lessf @ X2 @ X1))) = $true) | ((in @ X1 @ frac) = $false)) )),
% 1.96/0.66 inference(beta_eta_normalization,[],[f3280])).
% 1.96/0.66 thf(f3280,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ frac) => ((moref @ X1 @ Y0) => (lessf @ Y0 @ X1)))) @ X2) = $true) | ((in @ X1 @ frac) = $false)) )),
% 1.96/0.66 inference(pi_clausification,[],[f3279])).
% 1.96/0.66 thf(f3279,plain,(
% 1.96/0.66 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => ((moref @ X1 @ Y0) => (lessf @ Y0 @ X1)))))) | ((in @ X1 @ frac) = $false)) )),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f3278])).
% 1.96/0.66 thf(f3278,plain,(
% 1.96/0.66 ( ! [X1 : $i] : ((((in @ X1 @ frac) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => ((moref @ X1 @ Y0) => (lessf @ Y0 @ X1)))))) = $true)) )),
% 1.96/0.66 inference(beta_eta_normalization,[],[f3277])).
% 1.96/0.66 thf(f3277,plain,(
% 1.96/0.66 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((moref @ Y0 @ Y1) => (lessf @ Y1 @ Y0))))))) @ X1))) )),
% 1.96/0.66 inference(pi_clausification,[],[f1389])).
% 1.96/0.66 thf(f1389,plain,(
% 1.96/0.66 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((moref @ Y0 @ Y1) => (lessf @ Y1 @ Y0)))))))) = $true)),
% 1.96/0.66 inference(beta_eta_normalization,[],[f1272])).
% 1.96/0.66 thf(f1272,plain,(
% 1.96/0.66 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[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 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (lessf @ Y1 @ Y0)))))) = $true)),
% 1.96/0.66 inference(definition_unfolding,[],[f1058,f1211,f1211])).
% 1.96/0.66 thf(f1058,plain,(
% 1.96/0.66 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (lessf @ Y1 @ Y0)))))) = $true)),
% 1.96/0.66 inference(cnf_transformation,[],[f589])).
% 1.96/0.66 thf(f589,plain,(
% 1.96/0.66 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (lessf @ Y1 @ Y0)))))) = $true)),
% 1.96/0.66 inference(fool_elimination,[],[f588])).
% 1.96/0.66 thf(f588,plain,(
% 1.96/0.66 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ frac)) @ (^[X3 : $i] : ((moref @ X1 @ X3) => (lessf @ X3 @ X1))))))),
% 1.96/0.66 inference(rectify,[],[f370])).
% 1.96/0.66 thf(f370,axiom,(
% 1.96/0.66 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((moref @ X0 @ X1) => (lessf @ X1 @ X0))))))),
% 1.96/0.66 file('/export/starexec/sandbox/tmp/tmp.HWLP26k1vI/Vampire---4.8_15394',satz42)).
% 1.96/0.66 thf(f3510,plain,(
% 1.96/0.66 ((d_not @ (moref @ sK2 @ sK3)) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3505])).
% 1.96/0.66 thf(f3505,plain,(
% 1.96/0.66 ($true = $false) | ((d_not @ (moref @ sK2 @ sK3)) = $false)),
% 1.96/0.66 inference(backward_demodulation,[],[f2634,f3496])).
% 1.96/0.66 thf(f3531,plain,(
% 1.96/0.66 ((d_not @ $false) = $true)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3530])).
% 1.96/0.66 thf(f3530,plain,(
% 1.96/0.66 ((d_not @ $false) = $true) | ($true = $false)),
% 1.96/0.66 inference(duplicate_literal_removal,[],[f3528])).
% 1.96/0.66 thf(f3528,plain,(
% 1.96/0.66 ((d_not @ $false) = $true) | ((d_not @ $false) = $true) | ($true = $false)),
% 1.96/0.66 inference(superposition,[],[f3512,f3362])).
% 1.96/0.66 thf(f3362,plain,(
% 1.96/0.66 ((d_not @ $true) = $true) | ((d_not @ $false) = $true)),
% 1.96/0.66 inference(superposition,[],[f2636,f3309])).
% 1.96/0.66 thf(f3512,plain,(
% 1.96/0.66 ((d_not @ $true) = $false) | ((d_not @ $false) = $true)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3501])).
% 1.96/0.66 thf(f3501,plain,(
% 1.96/0.66 ($true = $false) | ((d_not @ $false) = $true) | ((d_not @ $true) = $false)),
% 1.96/0.66 inference(backward_demodulation,[],[f3471,f3496])).
% 1.96/0.66 thf(f3471,plain,(
% 1.96/0.66 ((n_eq @ sK2 @ sK3) = $true) | ((d_not @ $false) = $true) | ((d_not @ $true) = $false)),
% 1.96/0.66 inference(superposition,[],[f2636,f3469])).
% 1.96/0.66 thf(f3469,plain,(
% 1.96/0.66 ((lessf @ sK3 @ sK2) = $false) | ((d_not @ $true) = $false) | ((n_eq @ sK2 @ sK3) = $true)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3468])).
% 1.96/0.66 thf(f3468,plain,(
% 1.96/0.66 ($true = $false) | ((lessf @ sK3 @ sK2) = $false) | ((n_eq @ sK2 @ sK3) = $true) | ((d_not @ $true) = $false)),
% 1.96/0.66 inference(forward_demodulation,[],[f3467,f2627])).
% 1.96/0.66 thf(f3467,plain,(
% 1.96/0.66 ((n_eq @ sK2 @ sK3) = $true) | ((d_not @ $true) = $false) | ((in @ sK2 @ frac) = $false) | ((lessf @ sK3 @ sK2) = $false)),
% 1.96/0.66 inference(trivial_inequality_removal,[],[f3466])).
% 1.96/0.66 thf(f3466,plain,(
% 1.96/0.66 ((in @ sK2 @ frac) = $false) | ($true = $false) | ((n_eq @ sK2 @ sK3) = $true) | ((lessf @ sK3 @ sK2) = $false) | ((d_not @ $true) = $false)),
% 1.96/0.66 inference(forward_demodulation,[],[f3450,f2631])).
% 1.96/0.66 thf(f3450,plain,(
% 1.96/0.66 ((d_not @ $true) = $false) | ((n_eq @ sK2 @ sK3) = $true) | ((in @ sK3 @ frac) = $false) | ((in @ sK2 @ frac) = $false) | ((lessf @ sK3 @ sK2) = $false)),
% 1.96/0.66 inference(superposition,[],[f2634,f1970])).
% 1.96/0.66 thf(f1970,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : (($true = (moref @ X2 @ X1)) | ((in @ X2 @ frac) = $false) | ((in @ X1 @ frac) = $false) | ((lessf @ X1 @ X2) = $false)) )),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f1969])).
% 1.96/0.66 thf(f1969,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : ((((lessf @ X1 @ X2) => (moref @ X2 @ X1)) = $true) | ((in @ X2 @ frac) = $false) | ((in @ X1 @ frac) = $false)) )),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f1968])).
% 1.96/0.66 thf(f1968,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ frac) = $false) | (((in @ X2 @ frac) => ((lessf @ X1 @ X2) => (moref @ X2 @ X1))) = $true)) )),
% 1.96/0.66 inference(beta_eta_normalization,[],[f1967])).
% 1.96/0.66 thf(f1967,plain,(
% 1.96/0.66 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ frac) => ((lessf @ X1 @ Y0) => (moref @ Y0 @ X1)))) @ X2) = $true) | ((in @ X1 @ frac) = $false)) )),
% 1.96/0.66 inference(pi_clausification,[],[f1966])).
% 1.96/0.66 thf(f1966,plain,(
% 1.96/0.66 ( ! [X1 : $i] : (((in @ X1 @ frac) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => ((lessf @ X1 @ Y0) => (moref @ Y0 @ X1))))) = $true)) )),
% 1.96/0.66 inference(binary_proxy_clausification,[],[f1965])).
% 1.96/0.66 thf(f1965,plain,(
% 1.96/0.66 ( ! [X1 : $i] : (($true = ((in @ X1 @ frac) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => ((lessf @ X1 @ Y0) => (moref @ Y0 @ X1)))))))) )),
% 1.96/0.66 inference(beta_eta_normalization,[],[f1964])).
% 1.96/0.66 thf(f1964,plain,(
% 1.96/0.66 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((lessf @ Y0 @ Y1) => (moref @ Y1 @ Y0))))))) @ X1) = $true)) )),
% 1.96/0.66 inference(pi_clausification,[],[f1504])).
% 1.96/0.66 thf(f1504,plain,(
% 1.96/0.66 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((lessf @ Y0 @ Y1) => (moref @ Y1 @ Y0)))))))) = $true)),
% 1.96/0.66 inference(beta_eta_normalization,[],[f1383])).
% 1.96/0.66 thf(f1383,plain,(
% 1.96/0.66 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[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 @ frac)) @ (^[Y1 : $i]: ((lessf @ Y0 @ Y1) => (moref @ Y1 @ Y0)))))) = $true)),
% 1.96/0.66 inference(definition_unfolding,[],[f1206,f1211,f1211])).
% 1.96/0.66 thf(f1206,plain,(
% 1.96/0.66 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((lessf @ Y0 @ Y1) => (moref @ Y1 @ Y0)))))) = $true)),
% 1.96/0.66 inference(cnf_transformation,[],[f424])).
% 1.96/0.66 thf(f424,plain,(
% 1.96/0.66 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((lessf @ Y0 @ Y1) => (moref @ Y1 @ Y0)))))) = $true)),
% 1.96/0.66 inference(fool_elimination,[],[f423])).
% 1.96/0.66 thf(f423,plain,(
% 1.96/0.66 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ frac)) @ (^[X3 : $i] : ((lessf @ X1 @ X3) => (moref @ X3 @ X1))))))),
% 1.96/0.66 inference(rectify,[],[f371])).
% 1.96/0.66 thf(f371,axiom,(
% 1.96/0.66 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((lessf @ X0 @ X1) => (moref @ X1 @ X0))))))),
% 1.96/0.66 file('/export/starexec/sandbox/tmp/tmp.HWLP26k1vI/Vampire---4.8_15394',satz43)).
% 1.96/0.66 % SZS output end Proof for Vampire---4
% 1.96/0.66 % (15530)------------------------------
% 1.96/0.66 % (15530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.96/0.66 % (15530)Termination reason: Refutation
% 1.96/0.66
% 1.96/0.66 % (15530)Memory used [KB]: 8955
% 1.96/0.66 % (15530)Time elapsed: 0.176 s
% 1.96/0.66 % (15530)Instructions burned: 541 (million)
% 1.96/0.66 % (15530)------------------------------
% 1.96/0.66 % (15530)------------------------------
% 1.96/0.66 % (15502)Success in time 0.292 s
% 1.96/0.66 % Vampire---4.8 exiting
%------------------------------------------------------------------------------