TSTP Solution File: SWV107^7 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV107^7 : TPTP v8.1.2. Released v5.5.0.
% 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 : n014.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 10:28:04 EDT 2024
% Result : Theorem 2.26s 0.71s
% Output : Refutation 2.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV107^7 : TPTP v8.1.2. Released v5.5.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:09:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 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.WRVHvVyYzE/Vampire---4.8_29776
% 0.23/0.41 % (30010)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)
% 0.23/0.41 % (30014)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)
% 0.23/0.41 % (30012)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)
% 0.23/0.41 % (30016)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.41 % (30013)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.23/0.41 % (30011)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)
% 0.23/0.41 % (30015)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)
% 0.23/0.41 % (30013)Instruction limit reached!
% 0.23/0.41 % (30013)------------------------------
% 0.23/0.41 % (30013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (30013)Termination reason: Unknown
% 0.23/0.41 % (30014)Instruction limit reached!
% 0.23/0.41 % (30014)------------------------------
% 0.23/0.41 % (30014)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (30014)Termination reason: Unknown
% 0.23/0.41 % (30014)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (30014)Memory used [KB]: 1407
% 0.23/0.41 % (30014)Time elapsed: 0.004 s
% 0.23/0.41 % (30014)Instructions burned: 3 (million)
% 0.23/0.41 % (30014)------------------------------
% 0.23/0.41 % (30014)------------------------------
% 0.23/0.41 % (30013)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (30013)Memory used [KB]: 1279
% 0.23/0.41 % (30013)Time elapsed: 0.003 s
% 0.23/0.41 % (30013)Instructions burned: 2 (million)
% 0.23/0.41 % (30013)------------------------------
% 0.23/0.41 % (30013)------------------------------
% 0.23/0.41 % (30017)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)
% 0.23/0.41 % (30011)Instruction limit reached!
% 0.23/0.41 % (30011)------------------------------
% 0.23/0.41 % (30011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (30011)Termination reason: Unknown
% 0.23/0.41 % (30011)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (30011)Memory used [KB]: 1407
% 0.23/0.41 % (30011)Time elapsed: 0.005 s
% 0.23/0.41 % (30011)Instructions burned: 5 (million)
% 0.23/0.41 % (30011)------------------------------
% 0.23/0.41 % (30011)------------------------------
% 0.23/0.41 % (30017)Instruction limit reached!
% 0.23/0.41 % (30017)------------------------------
% 0.23/0.41 % (30017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (30017)Termination reason: Unknown
% 0.23/0.41 % (30017)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (30017)Memory used [KB]: 1407
% 0.23/0.41 % (30017)Time elapsed: 0.003 s
% 0.23/0.41 % (30017)Instructions burned: 3 (million)
% 0.23/0.41 % (30017)------------------------------
% 0.23/0.41 % (30017)------------------------------
% 0.23/0.42 % (30016)Instruction limit reached!
% 0.23/0.42 % (30016)------------------------------
% 0.23/0.42 % (30016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (30016)Termination reason: Unknown
% 0.23/0.42 % (30016)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (30016)Memory used [KB]: 1535
% 0.23/0.42 % (30016)Time elapsed: 0.012 s
% 0.23/0.42 % (30016)Instructions burned: 19 (million)
% 0.23/0.42 % (30016)------------------------------
% 0.23/0.42 % (30016)------------------------------
% 0.23/0.42 % (30012)Instruction limit reached!
% 0.23/0.42 % (30012)------------------------------
% 0.23/0.42 % (30012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (30012)Termination reason: Unknown
% 0.23/0.42 % (30012)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (30012)Memory used [KB]: 1791
% 0.23/0.42 % (30012)Time elapsed: 0.016 s
% 0.23/0.42 % (30012)Instructions burned: 28 (million)
% 0.23/0.42 % (30012)------------------------------
% 0.23/0.42 % (30012)------------------------------
% 0.23/0.43 % (30021)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)
% 0.23/0.43 % (30024)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)
% 0.23/0.43 % (30023)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)
% 0.23/0.43 % (30023)Instruction limit reached!
% 0.23/0.43 % (30023)------------------------------
% 0.23/0.43 % (30023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (30023)Termination reason: Unknown
% 0.23/0.43 % (30023)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (30023)Memory used [KB]: 1407
% 0.23/0.43 % (30023)Time elapsed: 0.004 s
% 0.23/0.43 % (30023)Instructions burned: 3 (million)
% 0.23/0.43 % (30023)------------------------------
% 0.23/0.43 % (30023)------------------------------
% 0.23/0.43 % (30025)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)
% 0.23/0.44 % (30022)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)
% 0.23/0.44 % (30025)Instruction limit reached!
% 0.23/0.44 % (30025)------------------------------
% 0.23/0.44 % (30025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (30025)Termination reason: Unknown
% 0.23/0.44 % (30025)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (30025)Memory used [KB]: 1407
% 0.23/0.44 % (30025)Time elapsed: 0.006 s
% 0.23/0.44 % (30025)Instructions burned: 7 (million)
% 0.23/0.44 % (30025)------------------------------
% 0.23/0.44 % (30025)------------------------------
% 0.23/0.44 % (30021)Instruction limit reached!
% 0.23/0.44 % (30021)------------------------------
% 0.23/0.44 % (30021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (30021)Termination reason: Unknown
% 0.23/0.44 % (30021)Termination phase: Property scanning
% 0.23/0.44
% 0.23/0.44 % (30021)Memory used [KB]: 1918
% 0.23/0.44 % (30021)Time elapsed: 0.021 s
% 0.23/0.44 % (30021)Instructions burned: 37 (million)
% 0.23/0.44 % (30021)------------------------------
% 0.23/0.44 % (30021)------------------------------
% 0.23/0.44 % (30027)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)
% 0.23/0.45 % (30027)Instruction limit reached!
% 0.23/0.45 % (30027)------------------------------
% 0.23/0.45 % (30027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (30027)Termination reason: Unknown
% 0.23/0.45 % (30027)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (30027)Memory used [KB]: 1407
% 0.23/0.45 % (30027)Time elapsed: 0.004 s
% 0.23/0.45 % (30027)Instructions burned: 4 (million)
% 0.23/0.45 % (30027)------------------------------
% 0.23/0.45 % (30027)------------------------------
% 0.23/0.45 % (30026)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)
% 0.23/0.45 % (30022)Instruction limit reached!
% 0.23/0.45 % (30022)------------------------------
% 0.23/0.45 % (30022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (30022)Termination reason: Unknown
% 0.23/0.45 % (30022)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (30022)Memory used [KB]: 1535
% 0.23/0.45 % (30022)Time elapsed: 0.015 s
% 0.23/0.45 % (30022)Instructions burned: 16 (million)
% 0.23/0.45 % (30022)------------------------------
% 0.23/0.45 % (30022)------------------------------
% 0.23/0.45 % (30015)Refutation not found, incomplete strategy
% 0.23/0.45 % (30015)------------------------------
% 0.23/0.45 % (30015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (30028)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)
% 0.23/0.45 % (30015)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45
% 0.23/0.45
% 0.23/0.45 % (30015)Memory used [KB]: 6524
% 0.23/0.45 % (30015)Time elapsed: 0.044 s
% 0.23/0.45 % (30015)Instructions burned: 85 (million)
% 0.23/0.45 % (30015)------------------------------
% 0.23/0.45 % (30015)------------------------------
% 0.23/0.45 % (30028)Instruction limit reached!
% 0.23/0.45 % (30028)------------------------------
% 0.23/0.45 % (30028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (30028)Termination reason: Unknown
% 0.23/0.45 % (30028)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (30028)Memory used [KB]: 1407
% 0.23/0.45 % (30028)Time elapsed: 0.004 s
% 0.23/0.45 % (30028)Instructions burned: 4 (million)
% 0.23/0.45 % (30028)------------------------------
% 0.23/0.45 % (30028)------------------------------
% 0.23/0.45 % (30026)Instruction limit reached!
% 0.23/0.45 % (30026)------------------------------
% 0.23/0.45 % (30026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (30026)Termination reason: Unknown
% 0.23/0.45 % (30026)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (30026)Memory used [KB]: 1535
% 0.23/0.45 % (30026)Time elapsed: 0.010 s
% 0.23/0.45 % (30026)Instructions burned: 16 (million)
% 0.23/0.45 % (30026)------------------------------
% 0.23/0.45 % (30026)------------------------------
% 0.23/0.46 % (30029)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)
% 0.23/0.46 % (30030)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)
% 0.23/0.46 % (30029)Instruction limit reached!
% 0.23/0.46 % (30029)------------------------------
% 0.23/0.46 % (30029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (30029)Termination reason: Unknown
% 0.23/0.46 % (30029)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (30029)Memory used [KB]: 1407
% 0.23/0.46 % (30029)Time elapsed: 0.006 s
% 0.23/0.46 % (30029)Instructions burned: 8 (million)
% 0.23/0.46 % (30029)------------------------------
% 0.23/0.46 % (30029)------------------------------
% 0.23/0.46 % (30030)Instruction limit reached!
% 0.23/0.46 % (30030)------------------------------
% 0.23/0.46 % (30030)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (30030)Termination reason: Unknown
% 0.23/0.46 % (30030)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (30030)Memory used [KB]: 1407
% 0.23/0.46 % (30030)Time elapsed: 0.004 s
% 0.23/0.46 % (30030)Instructions burned: 3 (million)
% 0.23/0.46 % (30030)------------------------------
% 0.23/0.46 % (30030)------------------------------
% 0.23/0.47 % (30032)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)
% 0.23/0.47 % (30034)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.23/0.47 % (30033)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)
% 0.23/0.47 % (30034)Instruction limit reached!
% 0.23/0.47 % (30034)------------------------------
% 0.23/0.47 % (30034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (30034)Termination reason: Unknown
% 0.23/0.47 % (30034)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (30034)Memory used [KB]: 1407
% 0.23/0.47 % (30034)Time elapsed: 0.005 s
% 0.23/0.47 % (30034)Instructions burned: 6 (million)
% 0.23/0.47 % (30034)------------------------------
% 0.23/0.47 % (30034)------------------------------
% 0.23/0.47 % (30031)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)
% 0.23/0.48 % (30032)Instruction limit reached!
% 0.23/0.48 % (30032)------------------------------
% 0.23/0.48 % (30032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (30032)Termination reason: Unknown
% 0.23/0.48 % (30032)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (30032)Memory used [KB]: 1535
% 0.23/0.48 % (30032)Time elapsed: 0.011 s
% 0.23/0.48 % (30032)Instructions burned: 18 (million)
% 0.23/0.48 % (30032)------------------------------
% 0.23/0.48 % (30032)------------------------------
% 0.23/0.48 % (30031)Instruction limit reached!
% 0.23/0.48 % (30031)------------------------------
% 0.23/0.48 % (30031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (30031)Termination reason: Unknown
% 0.23/0.48 % (30031)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (30035)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)
% 0.23/0.48 % (30031)Memory used [KB]: 1407
% 0.23/0.48 % (30031)Time elapsed: 0.006 s
% 0.23/0.48 % (30031)Instructions burned: 4 (million)
% 0.23/0.48 % (30031)------------------------------
% 0.23/0.48 % (30031)------------------------------
% 0.23/0.48 % (30036)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)
% 0.23/0.49 % (30037)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.23/0.49 % (30036)Instruction limit reached!
% 0.23/0.49 % (30036)------------------------------
% 0.23/0.49 % (30036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (30036)Termination reason: Unknown
% 0.23/0.49 % (30036)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (30036)Memory used [KB]: 1663
% 0.23/0.49 % (30036)Time elapsed: 0.012 s
% 0.23/0.49 % (30036)Instructions burned: 21 (million)
% 0.23/0.49 % (30010)Instruction limit reached!
% 0.23/0.49 % (30010)------------------------------
% 0.23/0.49 % (30010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (30010)Termination reason: Unknown
% 0.23/0.49 % (30010)Termination phase: Property scanning
% 0.23/0.49
% 0.23/0.49 % (30010)Memory used [KB]: 2430
% 0.23/0.49 % (30010)Time elapsed: 0.082 s
% 0.23/0.49 % (30010)Instructions burned: 183 (million)
% 0.23/0.49 % (30010)------------------------------
% 0.23/0.49 % (30010)------------------------------
% 0.23/0.49 % (30036)------------------------------
% 0.23/0.49 % (30036)------------------------------
% 0.23/0.49 % (30037)Instruction limit reached!
% 0.23/0.49 % (30037)------------------------------
% 0.23/0.49 % (30037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (30037)Termination reason: Unknown
% 0.23/0.49 % (30037)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (30037)Memory used [KB]: 1407
% 0.23/0.49 % (30037)Time elapsed: 0.005 s
% 0.23/0.49 % (30037)Instructions burned: 6 (million)
% 0.23/0.49 % (30037)------------------------------
% 0.23/0.49 % (30037)------------------------------
% 0.23/0.49 % (30038)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)
% 0.23/0.49 % (30038)Instruction limit reached!
% 0.23/0.49 % (30038)------------------------------
% 0.23/0.49 % (30038)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (30038)Termination reason: Unknown
% 0.23/0.49 % (30038)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (30038)Memory used [KB]: 1407
% 0.23/0.49 % (30038)Time elapsed: 0.005 s
% 0.23/0.49 % (30038)Instructions burned: 6 (million)
% 0.23/0.49 % (30038)------------------------------
% 0.23/0.49 % (30038)------------------------------
% 0.23/0.50 % (30039)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)
% 0.23/0.50 % (30041)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)
% 0.23/0.51 % (30042)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)
% 0.23/0.51 % (30043)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.23/0.51 % (30041)Instruction limit reached!
% 0.23/0.51 % (30041)------------------------------
% 0.23/0.51 % (30041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (30041)Termination reason: Unknown
% 0.23/0.51 % (30041)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (30041)Memory used [KB]: 1791
% 0.23/0.51 % (30041)Time elapsed: 0.012 s
% 0.23/0.51 % (30041)Instructions burned: 20 (million)
% 0.23/0.51 % (30041)------------------------------
% 0.23/0.51 % (30041)------------------------------
% 0.23/0.52 % (30040)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)
% 0.23/0.52 % (30043)Instruction limit reached!
% 0.23/0.52 % (30043)------------------------------
% 0.23/0.52 % (30043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (30043)Termination reason: Unknown
% 0.23/0.52 % (30043)Termination phase: shuffling
% 0.23/0.52
% 0.23/0.52 % (30043)Memory used [KB]: 1535
% 0.23/0.52 % (30043)Time elapsed: 0.011 s
% 0.23/0.52 % (30043)Instructions burned: 18 (million)
% 0.23/0.52 % (30043)------------------------------
% 0.23/0.52 % (30043)------------------------------
% 1.18/0.53 % (30044)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)
% 1.18/0.53 % (30044)Instruction limit reached!
% 1.18/0.53 % (30044)------------------------------
% 1.18/0.53 % (30044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.18/0.53 % (30044)Termination reason: Unknown
% 1.18/0.53 % (30044)Termination phase: shuffling
% 1.18/0.53
% 1.18/0.53 % (30044)Memory used [KB]: 1407
% 1.18/0.53 % (30044)Time elapsed: 0.004 s
% 1.18/0.53 % (30044)Instructions burned: 4 (million)
% 1.18/0.53 % (30044)------------------------------
% 1.18/0.53 % (30044)------------------------------
% 1.18/0.53 % (30045)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)
% 1.18/0.54 % (30045)Instruction limit reached!
% 1.18/0.54 % (30045)------------------------------
% 1.18/0.54 % (30045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.18/0.54 % (30045)Termination reason: Unknown
% 1.18/0.54 % (30045)Termination phase: shuffling
% 1.18/0.54
% 1.18/0.54 % (30045)Memory used [KB]: 1791
% 1.18/0.54 % (30045)Time elapsed: 0.012 s
% 1.18/0.54 % (30045)Instructions burned: 30 (million)
% 1.18/0.54 % (30045)------------------------------
% 1.18/0.54 % (30045)------------------------------
% 1.18/0.54 % (30035)Refutation not found, incomplete strategy
% 1.18/0.54 % (30035)------------------------------
% 1.18/0.54 % (30035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.18/0.54 % (30035)Termination reason: Refutation not found, incomplete strategy
% 1.18/0.54
% 1.18/0.54
% 1.18/0.54 % (30035)Memory used [KB]: 6652
% 1.18/0.54 % (30035)Time elapsed: 0.086 s
% 1.18/0.54 % (30035)Instructions burned: 111 (million)
% 1.18/0.54 % (30035)------------------------------
% 1.18/0.54 % (30035)------------------------------
% 1.18/0.54 % (30046)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)
% 1.36/0.55 % (30047)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)
% 1.36/0.56 % (30048)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 1.36/0.56 % (30048)Instruction limit reached!
% 1.36/0.56 % (30048)------------------------------
% 1.36/0.56 % (30048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.56 % (30048)Termination reason: Unknown
% 1.36/0.56 % (30048)Termination phase: shuffling
% 1.36/0.56
% 1.36/0.56 % (30048)Memory used [KB]: 1407
% 1.36/0.56 % (30048)Time elapsed: 0.004 s
% 1.36/0.56 % (30048)Instructions burned: 4 (million)
% 1.36/0.56 % (30048)------------------------------
% 1.36/0.56 % (30048)------------------------------
% 1.36/0.57 % (30049)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 1.36/0.58 % (30047)Instruction limit reached!
% 1.36/0.58 % (30047)------------------------------
% 1.36/0.58 % (30047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.58 % (30047)Termination reason: Unknown
% 1.36/0.58 % (30047)Termination phase: Property scanning
% 1.36/0.58
% 1.36/0.58 % (30047)Memory used [KB]: 2430
% 1.36/0.58 % (30047)Time elapsed: 0.027 s
% 1.36/0.58 % (30047)Instructions burned: 101 (million)
% 1.36/0.58 % (30047)------------------------------
% 1.36/0.58 % (30047)------------------------------
% 1.36/0.58 % (30046)Instruction limit reached!
% 1.36/0.58 % (30046)------------------------------
% 1.36/0.58 % (30046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.58 % (30046)Termination reason: Unknown
% 1.36/0.58 % (30046)Termination phase: Property scanning
% 1.36/0.58
% 1.36/0.58 % (30046)Memory used [KB]: 2430
% 1.36/0.58 % (30046)Time elapsed: 0.035 s
% 1.36/0.58 % (30046)Instructions burned: 128 (million)
% 1.36/0.58 % (30046)------------------------------
% 1.36/0.58 % (30046)------------------------------
% 1.36/0.58 % (30049)Instruction limit reached!
% 1.36/0.58 % (30049)------------------------------
% 1.36/0.58 % (30049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.58 % (30049)Termination reason: Unknown
% 1.36/0.58 % (30049)Termination phase: shuffling
% 1.36/0.58
% 1.36/0.58 % (30049)Memory used [KB]: 1535
% 1.36/0.58 % (30049)Time elapsed: 0.007 s
% 1.36/0.58 % (30049)Instructions burned: 20 (million)
% 1.36/0.58 % (30049)------------------------------
% 1.36/0.58 % (30049)------------------------------
% 1.36/0.58 % (30050)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 1.36/0.58 % (30051)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2998ds/107Mi)
% 1.36/0.59 % (30052)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)
% 1.36/0.59 % (30042)Refutation not found, incomplete strategy
% 1.36/0.59 % (30042)------------------------------
% 1.36/0.59 % (30042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.59 % (30042)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.59
% 1.36/0.59
% 1.36/0.59 % (30042)Memory used [KB]: 7036
% 1.36/0.59 % (30042)Time elapsed: 0.084 s
% 1.36/0.59 % (30042)Instructions burned: 235 (million)
% 1.36/0.59 % (30042)------------------------------
% 1.36/0.59 % (30042)------------------------------
% 1.36/0.60 % (30053)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)
% 1.36/0.60 % (30052)Instruction limit reached!
% 1.36/0.60 % (30052)------------------------------
% 1.36/0.60 % (30052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.60 % (30052)Termination reason: Unknown
% 1.36/0.60 % (30052)Termination phase: Property scanning
% 1.36/0.60
% 1.36/0.60 % (30052)Memory used [KB]: 1918
% 1.36/0.60 % (30052)Time elapsed: 0.013 s
% 1.36/0.60 % (30052)Instructions burned: 43 (million)
% 1.36/0.60 % (30052)------------------------------
% 1.36/0.60 % (30052)------------------------------
% 1.36/0.60 % (30039)Instruction limit reached!
% 1.36/0.60 % (30039)------------------------------
% 1.36/0.60 % (30039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.60 % (30039)Termination reason: Unknown
% 1.36/0.60 % (30039)Termination phase: Saturation
% 1.36/0.60
% 1.36/0.60 % (30039)Memory used [KB]: 7036
% 1.36/0.60 % (30039)Time elapsed: 0.105 s
% 1.36/0.60 % (30039)Instructions burned: 377 (million)
% 1.36/0.60 % (30039)------------------------------
% 1.36/0.60 % (30039)------------------------------
% 1.36/0.61 % (30050)Instruction limit reached!
% 1.36/0.61 % (30050)------------------------------
% 1.36/0.61 % (30050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.61 % (30050)Termination reason: Unknown
% 1.36/0.61 % (30050)Termination phase: Function definition elimination
% 1.36/0.61
% 1.36/0.61 % (30050)Memory used [KB]: 2046
% 1.36/0.61 % (30050)Time elapsed: 0.024 s
% 1.36/0.61 % (30050)Instructions burned: 87 (million)
% 1.36/0.61 % (30050)------------------------------
% 1.36/0.61 % (30050)------------------------------
% 1.36/0.61 % (30054)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)
% 1.36/0.61 % (30055)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)
% 1.36/0.61 % (30051)Instruction limit reached!
% 1.36/0.61 % (30051)------------------------------
% 1.36/0.61 % (30051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.61 % (30051)Termination reason: Unknown
% 1.36/0.61 % (30051)Termination phase: Property scanning
% 1.36/0.61
% 1.36/0.61 % (30051)Memory used [KB]: 2046
% 1.36/0.61 % (30051)Time elapsed: 0.029 s
% 1.36/0.61 % (30051)Instructions burned: 107 (million)
% 1.36/0.61 % (30051)------------------------------
% 1.36/0.61 % (30051)------------------------------
% 1.36/0.62 % (30056)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)
% 1.36/0.62 % (30054)Instruction limit reached!
% 1.36/0.62 % (30054)------------------------------
% 1.36/0.62 % (30054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.62 % (30054)Termination reason: Unknown
% 1.36/0.62 % (30054)Termination phase: Property scanning
% 1.36/0.62
% 1.36/0.62 % (30054)Memory used [KB]: 1918
% 1.36/0.62 % (30054)Time elapsed: 0.014 s
% 1.36/0.62 % (30054)Instructions burned: 46 (million)
% 1.36/0.62 % (30054)------------------------------
% 1.36/0.62 % (30054)------------------------------
% 1.36/0.62 % (30057)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)
% 1.36/0.63 % (30058)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 1.36/0.64 % (30055)Instruction limit reached!
% 1.36/0.64 % (30055)------------------------------
% 1.36/0.64 % (30055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.36/0.64 % (30055)Termination reason: Unknown
% 1.36/0.64 % (30055)Termination phase: Property scanning
% 1.36/0.64
% 1.36/0.64 % (30055)Memory used [KB]: 2430
% 1.36/0.64 % (30055)Time elapsed: 0.027 s
% 1.36/0.64 % (30055)Instructions burned: 102 (million)
% 1.36/0.64 % (30055)------------------------------
% 1.36/0.64 % (30055)------------------------------
% 1.99/0.64 % (30058)Instruction limit reached!
% 1.99/0.64 % (30058)------------------------------
% 1.99/0.64 % (30058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.99/0.64 % (30058)Termination reason: Unknown
% 1.99/0.64 % (30058)Termination phase: shuffling
% 1.99/0.64
% 1.99/0.64 % (30058)Memory used [KB]: 1918
% 1.99/0.64 % (30058)Time elapsed: 0.013 s
% 1.99/0.64 % (30058)Instructions burned: 42 (million)
% 1.99/0.64 % (30058)------------------------------
% 1.99/0.64 % (30058)------------------------------
% 1.99/0.64 % (30059)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)
% 1.99/0.65 % (30059)Instruction limit reached!
% 1.99/0.65 % (30059)------------------------------
% 1.99/0.65 % (30059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.99/0.65 % (30059)Termination reason: Unknown
% 1.99/0.65 % (30059)Termination phase: shuffling
% 1.99/0.65
% 1.99/0.65 % (30059)Memory used [KB]: 1535
% 1.99/0.65 % (30059)Time elapsed: 0.003 s
% 1.99/0.65 % (30059)Instructions burned: 7 (million)
% 1.99/0.65 % (30059)------------------------------
% 1.99/0.65 % (30059)------------------------------
% 1.99/0.65 % (30060)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)
% 1.99/0.65 % (30061)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2997ds/47Mi)
% 1.99/0.66 % (30057)Instruction limit reached!
% 1.99/0.66 % (30057)------------------------------
% 1.99/0.66 % (30057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.99/0.66 % (30057)Termination reason: Unknown
% 1.99/0.66 % (30057)Termination phase: Property scanning
% 1.99/0.66
% 1.99/0.66 % (30057)Memory used [KB]: 2430
% 1.99/0.66 % (30057)Time elapsed: 0.039 s
% 1.99/0.66 % (30057)Instructions burned: 150 (million)
% 1.99/0.66 % (30057)------------------------------
% 1.99/0.66 % (30057)------------------------------
% 1.99/0.67 % (30062)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)
% 1.99/0.67 % (30061)Instruction limit reached!
% 1.99/0.67 % (30061)------------------------------
% 1.99/0.67 % (30061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.99/0.67 % (30061)Termination reason: Unknown
% 1.99/0.67 % (30061)Termination phase: Property scanning
% 1.99/0.67
% 1.99/0.67 % (30061)Memory used [KB]: 1918
% 1.99/0.67 % (30061)Time elapsed: 0.015 s
% 1.99/0.67 % (30061)Instructions burned: 50 (million)
% 1.99/0.67 % (30061)------------------------------
% 1.99/0.67 % (30061)------------------------------
% 1.99/0.68 % (30063)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)
% 1.99/0.68 % (30062)Instruction limit reached!
% 1.99/0.68 % (30062)------------------------------
% 1.99/0.68 % (30062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.99/0.68 % (30062)Termination reason: Unknown
% 1.99/0.68 % (30062)Termination phase: Property scanning
% 1.99/0.68
% 1.99/0.68 % (30062)Memory used [KB]: 1918
% 1.99/0.68 % (30062)Time elapsed: 0.014 s
% 1.99/0.68 % (30062)Instructions burned: 47 (million)
% 1.99/0.68 % (30062)------------------------------
% 1.99/0.68 % (30062)------------------------------
% 2.26/0.69 % (30064)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)
% 2.26/0.69 % (30060)Refutation not found, incomplete strategy
% 2.26/0.69 % (30060)------------------------------
% 2.26/0.69 % (30060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.26/0.69 % (30060)Termination reason: Refutation not found, incomplete strategy
% 2.26/0.69
% 2.26/0.69
% 2.26/0.69 % (30060)Memory used [KB]: 6652
% 2.26/0.69 % (30060)Time elapsed: 0.041 s
% 2.26/0.69 % (30060)Instructions burned: 137 (million)
% 2.26/0.69 % (30060)------------------------------
% 2.26/0.69 % (30060)------------------------------
% 2.26/0.70 % (30040)First to succeed.
% 2.26/0.70 % (30065)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on Vampire---4 for (2996ds/31Mi)
% 2.26/0.71 % (30064)Instruction limit reached!
% 2.26/0.71 % (30064)------------------------------
% 2.26/0.71 % (30064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.26/0.71 % (30064)Termination reason: Unknown
% 2.26/0.71 % (30064)Termination phase: Property scanning
% 2.26/0.71
% 2.26/0.71 % (30064)Memory used [KB]: 2046
% 2.26/0.71 % (30064)Time elapsed: 0.018 s
% 2.26/0.71 % (30064)Instructions burned: 62 (million)
% 2.26/0.71 % (30064)------------------------------
% 2.26/0.71 % (30064)------------------------------
% 2.26/0.71 % (30040)Refutation found. Thanks to Tanya!
% 2.26/0.71 % SZS status Theorem for Vampire---4
% 2.26/0.71 % SZS output start Proof for Vampire---4
% 2.26/0.71 thf(type_def_5, type, mu: $tType).
% 2.26/0.71 thf(func_def_0, type, mu: $tType).
% 2.26/0.71 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 2.26/0.71 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_8, type, mtrue: $i > $o).
% 2.26/0.71 thf(func_def_9, type, mfalse: $i > $o).
% 2.26/0.71 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 2.26/0.71 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 2.26/0.71 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 2.26/0.71 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 2.26/0.71 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 2.26/0.71 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 2.26/0.71 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 2.26/0.71 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 2.26/0.71 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 2.26/0.71 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 2.26/0.71 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 2.26/0.71 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 2.26/0.71 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 2.26/0.71 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 2.26/0.71 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 2.26/0.71 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 2.26/0.71 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 2.26/0.71 thf(func_def_37, type, true: $i > $o).
% 2.26/0.71 thf(func_def_38, type, lt: mu > mu > $i > $o).
% 2.26/0.71 thf(func_def_39, type, geq: mu > mu > $i > $o).
% 2.26/0.71 thf(func_def_40, type, gt: mu > mu > $i > $o).
% 2.26/0.71 thf(func_def_41, type, leq: mu > mu > $i > $o).
% 2.26/0.71 thf(func_def_42, type, uniform_int_rnd: mu > mu > mu).
% 2.26/0.71 thf(func_def_43, type, tptp_const_array1: mu > mu > mu).
% 2.26/0.71 thf(func_def_44, type, dim: mu > mu > mu).
% 2.26/0.71 thf(func_def_45, type, tptp_const_array2: mu > mu > mu > mu).
% 2.26/0.71 thf(func_def_46, type, inv: mu > mu).
% 2.26/0.71 thf(func_def_47, type, tptp_msub: mu > mu > mu).
% 2.26/0.71 thf(func_def_48, type, trans: mu > mu).
% 2.26/0.71 thf(func_def_49, type, tptp_mmul: mu > mu > mu).
% 2.26/0.71 thf(func_def_50, type, tptp_madd: mu > mu > mu).
% 2.26/0.71 thf(func_def_51, type, sum: mu > mu > mu > mu).
% 2.26/0.71 thf(func_def_52, type, tptp_float_0_0: mu).
% 2.26/0.71 thf(func_def_53, type, plus: mu > mu > mu).
% 2.26/0.71 thf(func_def_54, type, pred: mu > mu).
% 2.26/0.71 thf(func_def_55, type, tptp_update3: mu > mu > mu > mu > mu).
% 2.26/0.71 thf(func_def_56, type, a_select3: mu > mu > mu > mu).
% 2.26/0.71 thf(func_def_57, type, tptp_update2: mu > mu > mu > mu).
% 2.26/0.71 thf(func_def_58, type, a_select2: mu > mu > mu).
% 2.26/0.71 thf(func_def_59, type, use: mu).
% 2.26/0.71 thf(func_def_60, type, def: mu).
% 2.26/0.71 thf(func_def_61, type, minus: mu > mu > mu).
% 2.26/0.71 thf(func_def_62, type, tptp_minus_1: mu).
% 2.26/0.71 thf(func_def_63, type, n999: mu).
% 2.26/0.71 thf(func_def_64, type, n4: mu).
% 2.26/0.71 thf(func_def_65, type, n5: mu).
% 2.26/0.71 thf(func_def_66, type, n6: mu).
% 2.26/0.71 thf(func_def_67, type, n1: mu).
% 2.26/0.71 thf(func_def_68, type, n2: mu).
% 2.26/0.71 thf(func_def_69, type, n3: mu).
% 2.26/0.71 thf(func_def_70, type, n0: mu).
% 2.26/0.71 thf(func_def_71, type, succ: mu > mu).
% 2.26/0.71 thf(func_def_93, type, sK1: mu > $i > mu > $i).
% 2.26/0.71 thf(func_def_94, type, sK2: mu > mu > $i > $i).
% 2.26/0.71 thf(func_def_95, type, sK3: mu > $i > $i).
% 2.26/0.71 thf(func_def_96, type, sK4: mu > mu > $i > $i).
% 2.26/0.71 thf(func_def_97, type, sK5: mu > mu > $i > $i).
% 2.26/0.71 thf(func_def_98, type, sK6: mu > mu > $i > $i).
% 2.26/0.71 thf(func_def_99, type, sK7: $i > mu).
% 2.26/0.71 thf(f3399,plain,(
% 2.26/0.71 $false),
% 2.26/0.71 inference(trivial_inequality_removal,[],[f3397])).
% 2.26/0.71 thf(f3397,plain,(
% 2.26/0.71 ($false = $true)),
% 2.26/0.71 inference(superposition,[],[f3392,f2581])).
% 2.26/0.71 thf(f2581,plain,(
% 2.26/0.71 ($false = (true @ sK16))),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2580])).
% 2.26/0.71 thf(f2580,plain,(
% 2.26/0.71 ($false = ((~ (rel_s4 @ sK15 @ sK16)) | (true @ sK16)))),
% 2.26/0.71 inference(beta_eta_normalization,[],[f2579])).
% 2.26/0.71 thf(f2579,plain,(
% 2.26/0.71 (((^[Y0 : $i]: ((~ (rel_s4 @ sK15 @ Y0)) | (true @ Y0))) @ sK16) = $false)),
% 2.26/0.71 inference(sigma_clausification,[],[f2566])).
% 2.26/0.71 thf(f2566,plain,(
% 2.26/0.71 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK15 @ Y0)) | (true @ Y0)))) = $false)),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2563])).
% 2.26/0.71 thf(f2563,plain,(
% 2.26/0.71 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK15 @ Y0)) | (true @ Y0)))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK15 @ Y0)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK15 @ Y0)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y0))))))))),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2562])).
% 2.26/0.71 thf(f2562,plain,(
% 2.26/0.71 ($false = ((~ (rel_s4 @ sK14 @ sK15)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK15 @ Y0)) | (true @ Y0)))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK15 @ Y0)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK15 @ Y0)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y0)))))))))),
% 2.26/0.71 inference(beta_eta_normalization,[],[f2561])).
% 2.26/0.71 thf(f2561,plain,(
% 2.26/0.71 (((^[Y0 : $i]: ((~ (rel_s4 @ sK14 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (true @ Y1)))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y1))))))))) @ sK15) = $false)),
% 2.26/0.71 inference(sigma_clausification,[],[f2555])).
% 2.26/0.71 thf(f2555,plain,(
% 2.26/0.71 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK14 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (true @ Y1)))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y1)))))))))))),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2552])).
% 2.26/0.71 thf(f2552,plain,(
% 2.26/0.71 (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK14 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (true @ Y1)))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y1)))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK14 @ Y0)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y0)))))) = $false)),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2551])).
% 2.26/0.71 thf(f2551,plain,(
% 2.26/0.71 ($false = ((~ (rel_s4 @ sK13 @ sK14)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK14 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (true @ Y1)))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y1)))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK14 @ Y0)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y0))))))))),
% 2.26/0.71 inference(beta_eta_normalization,[],[f2550])).
% 2.26/0.71 thf(f2550,plain,(
% 2.26/0.71 ($false = ((^[Y0 : $i]: ((~ (rel_s4 @ sK13 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (true @ Y2)))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1)))))))) @ sK14))),
% 2.26/0.71 inference(sigma_clausification,[],[f2549])).
% 2.26/0.71 thf(f2549,plain,(
% 2.26/0.71 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK13 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (true @ Y2)))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))))),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2545])).
% 2.26/0.71 thf(f2545,plain,(
% 2.26/0.71 (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK13 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (true @ Y2)))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK13 @ Y0)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y0)))))) = $false)),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2544])).
% 2.26/0.71 thf(f2544,plain,(
% 2.26/0.71 ($false = ((~ (rel_s4 @ sK12 @ sK13)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK13 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (true @ Y2)))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK13 @ Y0)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y0))))))))),
% 2.26/0.71 inference(beta_eta_normalization,[],[f2543])).
% 2.26/0.71 thf(f2543,plain,(
% 2.26/0.71 (((^[Y0 : $i]: ((~ (rel_s4 @ sK12 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (true @ Y3)))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1)))))))) @ sK13) = $false)),
% 2.26/0.71 inference(sigma_clausification,[],[f2542])).
% 2.26/0.71 thf(f2542,plain,(
% 2.26/0.71 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK12 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (true @ Y3)))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))))),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2538])).
% 2.26/0.71 thf(f2538,plain,(
% 2.26/0.71 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK12 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (true @ Y3)))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK12 @ Y0)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y0)))))))),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2537])).
% 2.26/0.71 thf(f2537,plain,(
% 2.26/0.71 (((~ (rel_s4 @ sK11 @ sK12)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK12 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (true @ Y3)))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK12 @ Y0)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y0))))))) = $false)),
% 2.26/0.71 inference(beta_eta_normalization,[],[f2536])).
% 2.26/0.71 thf(f2536,plain,(
% 2.26/0.71 ($false = ((^[Y0 : $i]: ((~ (rel_s4 @ sK11 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (true @ Y4)))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1)))))))) @ sK12))),
% 2.26/0.71 inference(sigma_clausification,[],[f2523])).
% 2.26/0.71 thf(f2523,plain,(
% 2.26/0.71 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK11 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (true @ Y4)))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))))),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2520])).
% 2.26/0.71 thf(f2520,plain,(
% 2.26/0.71 ($false = ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK11 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (true @ Y4)))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK11 @ Y0)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK11 @ Y0)) | (geq @ n2 @ n0 @ Y0))))))))),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2519])).
% 2.26/0.71 thf(f2519,plain,(
% 2.26/0.71 ($false = ((~ (rel_s4 @ sK10 @ sK11)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK11 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (true @ Y4)))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK11 @ Y0)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK11 @ Y0)) | (geq @ n2 @ n0 @ Y0)))))))))),
% 2.26/0.71 inference(beta_eta_normalization,[],[f2518])).
% 2.26/0.71 thf(f2518,plain,(
% 2.26/0.71 ($false = ((^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (true @ Y5)))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ n2 @ n0 @ Y1))))))))) @ sK11))),
% 2.26/0.71 inference(sigma_clausification,[],[f2512])).
% 2.26/0.71 thf(f2512,plain,(
% 2.26/0.71 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (true @ Y5)))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ n2 @ n0 @ Y1)))))))))))),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2508])).
% 2.26/0.71 thf(f2508,plain,(
% 2.26/0.71 (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (true @ Y5)))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ n2 @ n0 @ Y1)))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y0)))))) = $false)),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2507])).
% 2.26/0.71 thf(f2507,plain,(
% 2.26/0.71 ($false = ((~ (rel_s4 @ sK9 @ sK10)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (true @ Y5)))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ n2 @ n0 @ Y1)))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK10 @ Y0)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y0))))))))),
% 2.26/0.71 inference(beta_eta_normalization,[],[f2506])).
% 2.26/0.71 thf(f2506,plain,(
% 2.26/0.71 ($false = ((^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (true @ Y6)))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ n2 @ n0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1)))))))) @ sK10))),
% 2.26/0.71 inference(sigma_clausification,[],[f2500])).
% 2.26/0.71 thf(f2500,plain,(
% 2.26/0.71 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (true @ Y6)))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ n2 @ n0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))))),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2497])).
% 2.26/0.71 thf(f2497,plain,(
% 2.26/0.71 (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (true @ Y6)))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ n2 @ n0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y0)))))) = $false)),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f2496])).
% 2.26/0.71 thf(f2496,plain,(
% 2.26/0.71 ($false = ((~ (rel_s4 @ sK8 @ sK9)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (true @ Y6)))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y4))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ n2 @ n0 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y1))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK9 @ Y0)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y0))))))))),
% 2.26/0.71 inference(beta_eta_normalization,[],[f2495])).
% 2.26/0.71 thf(f2495,plain,(
% 2.26/0.71 ($false = ((^[Y0 : $i]: ((~ (rel_s4 @ sK8 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | ((!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (true @ Y7)))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ n2 @ n0 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y1)))))))) @ sK9))),
% 2.26/0.71 inference(sigma_clausification,[],[f2494])).
% 2.26/0.71 thf(f2494,plain,(
% 2.26/0.71 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK8 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | ((!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (true @ Y7)))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y4))))))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ n2 @ n0 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y2))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y1))))))))) = $false)),
% 2.26/0.71 inference(beta_eta_normalization,[],[f2493])).
% 2.26/0.71 thf(f2493,plain,(
% 2.26/0.71 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | ((!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | ((!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (true @ Y8)))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ n2 @ n0 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y2)))))))))) @ sK8))),
% 2.26/0.71 inference(sigma_clausification,[],[f2492])).
% 2.26/0.71 thf(f2492,plain,(
% 2.26/0.71 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | ((!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | ((!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (true @ Y8)))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ n2 @ n0 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y2))))))))))) = $false)),
% 2.26/0.71 inference(not_proxy_clausification,[],[f927])).
% 2.26/0.71 thf(f927,plain,(
% 2.26/0.71 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | ((!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | ((!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (true @ Y8)))) | ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y8)))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ n2 @ n0 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y2)))))))))))) = $true)),
% 2.26/0.71 inference(boolean_simplification,[],[f926])).
% 2.26/0.71 thf(f926,plain,(
% 2.26/0.71 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | ((!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | ((!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (true @ Y8)))) | (~ (~ ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y8)))))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ n2 @ n0 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y2)))))))))))))),
% 2.26/0.71 inference(boolean_simplification,[],[f925])).
% 2.26/0.71 thf(f925,plain,(
% 2.26/0.71 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | ((!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | ((!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (true @ Y8)))) | (~ (~ ((~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y8))))) | (~ (!! @ $i @ (^[Y8 : $i]: ((~ (rel_s4 @ Y7 @ Y8)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y8)))))))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y7))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y6))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y5))))))))) | (~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ (minus @ n999 @ n1) @ n0 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (geq @ n2 @ n0 @ Y4)))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (geq @ (minus @ n6 @ n1) @ n0 @ Y3))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (geq @ (minus @ n3 @ n1) @ n0 @ Y2)))))))))))) = $true)),
% 2.26/0.71 inference(beta_eta_normalization,[],[f819])).
% 2.26/0.71 thf(f819,plain,(
% 2.26/0.71 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ (geq @ (minus @ n3 @ n1) @ n0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ (geq @ (minus @ n6 @ n1) @ n0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ (geq @ n2 @ n0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ (geq @ (minus @ n999 @ n1) @ n0))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ (geq @ (minus @ n6 @ n1) @ n0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ (geq @ (minus @ n6 @ n1) @ n0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ (geq @ (minus @ n6 @ n1) @ n0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ (geq @ (minus @ n3 @ n1) @ n0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ (geq @ (minus @ n999 @ n1) @ n0))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ true))))))))))))))))) = $true)),
% 2.26/0.71 inference(definition_unfolding,[],[f699,f713,f653,f780,f653,f653,f780,f653,f653,f780,f779,f653,f653,f653,f780,f653,f653,f780,f653,f653,f780,f653,f653,f780,f779,f653,f653,f653])).
% 2.26/0.71 thf(f779,plain,(
% 2.26/0.71 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 2.26/0.71 inference(definition_unfolding,[],[f773,f705,f741,f705,f705])).
% 2.26/0.71 thf(f741,plain,(
% 2.26/0.71 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 2.26/0.71 inference(cnf_transformation,[],[f579])).
% 2.26/0.71 thf(f579,plain,(
% 2.26/0.71 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 2.26/0.71 inference(fool_elimination,[],[f578])).
% 2.26/0.71 thf(f578,plain,(
% 2.26/0.71 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 2.26/0.71 inference(rectify,[],[f3])).
% 2.26/0.71 thf(f3,axiom,(
% 2.26/0.71 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))) = mor)),
% 2.26/0.71 file('/export/starexec/sandbox/tmp/tmp.WRVHvVyYzE/Vampire---4.8_29776',mor)).
% 2.26/0.71 thf(f705,plain,(
% 2.26/0.71 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.26/0.71 inference(cnf_transformation,[],[f477])).
% 2.26/0.71 thf(f477,plain,(
% 2.26/0.71 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.26/0.71 inference(fool_elimination,[],[f476])).
% 2.26/0.71 thf(f476,plain,(
% 2.26/0.71 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 2.26/0.71 inference(rectify,[],[f2])).
% 2.26/0.71 thf(f2,axiom,(
% 2.26/0.71 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 2.26/0.71 file('/export/starexec/sandbox/tmp/tmp.WRVHvVyYzE/Vampire---4.8_29776',mnot)).
% 2.26/0.71 thf(f773,plain,(
% 2.26/0.71 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 2.26/0.71 inference(cnf_transformation,[],[f513])).
% 2.26/0.71 thf(f513,plain,(
% 2.26/0.71 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 2.26/0.71 inference(fool_elimination,[],[f512])).
% 2.26/0.71 thf(f512,plain,(
% 2.26/0.71 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 2.26/0.71 inference(rectify,[],[f8])).
% 2.26/0.71 thf(f8,axiom,(
% 2.26/0.71 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 2.26/0.71 file('/export/starexec/sandbox/tmp/tmp.WRVHvVyYzE/Vampire---4.8_29776',mand)).
% 2.26/0.71 thf(f780,plain,(
% 2.26/0.71 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 2.26/0.71 inference(definition_unfolding,[],[f655,f741,f705])).
% 2.26/0.71 thf(f655,plain,(
% 2.26/0.71 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.26/0.71 inference(cnf_transformation,[],[f227])).
% 2.26/0.71 thf(f227,plain,(
% 2.26/0.71 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.26/0.71 inference(fool_elimination,[],[f226])).
% 2.26/0.71 thf(f226,plain,(
% 2.26/0.71 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 2.26/0.71 inference(rectify,[],[f9])).
% 2.26/0.71 thf(f9,axiom,(
% 2.26/0.71 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 2.26/0.71 file('/export/starexec/sandbox/tmp/tmp.WRVHvVyYzE/Vampire---4.8_29776',mimplies)).
% 2.26/0.71 thf(f653,plain,(
% 2.26/0.71 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 2.26/0.71 inference(cnf_transformation,[],[f415])).
% 2.26/0.71 thf(f415,plain,(
% 2.26/0.71 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 2.26/0.71 inference(fool_elimination,[],[f414])).
% 2.26/0.71 thf(f414,plain,(
% 2.26/0.71 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s4 @ X1 @ X2)))) = mbox_s4)),
% 2.26/0.71 inference(rectify,[],[f32])).
% 2.26/0.71 thf(f32,axiom,(
% 2.26/0.71 ((^[X3 : $i > $o, X2 : $i] : (! [X6] : ((X3 @ X6) | ~(rel_s4 @ X2 @ X6)))) = mbox_s4)),
% 2.26/0.71 file('/export/starexec/sandbox/tmp/tmp.WRVHvVyYzE/Vampire---4.8_29776',mbox_s4)).
% 2.26/0.71 thf(f713,plain,(
% 2.26/0.71 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.26/0.71 inference(cnf_transformation,[],[f313])).
% 2.26/0.71 thf(f313,plain,(
% 2.26/0.71 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.26/0.71 inference(fool_elimination,[],[f312])).
% 2.26/0.71 thf(f312,plain,(
% 2.26/0.71 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 2.26/0.71 inference(rectify,[],[f28])).
% 2.26/0.71 thf(f28,axiom,(
% 2.26/0.71 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 2.26/0.71 file('/export/starexec/sandbox/tmp/tmp.WRVHvVyYzE/Vampire---4.8_29776',mvalid)).
% 2.26/0.71 thf(f699,plain,(
% 2.26/0.71 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n3 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (geq @ n2 @ n0)) @ (mbox_s4 @ (geq @ (minus @ n999 @ n1) @ n0))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (geq @ (minus @ n3 @ n1) @ n0)) @ (mbox_s4 @ (geq @ (minus @ n999 @ n1) @ n0))) @ (mbox_s4 @ true))))))))))))))))) = $true)),
% 2.26/0.71 inference(cnf_transformation,[],[f489])).
% 2.26/0.71 thf(f489,plain,(
% 2.26/0.71 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n3 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (geq @ n2 @ n0)) @ (mbox_s4 @ (geq @ (minus @ n999 @ n1) @ n0))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (geq @ (minus @ n3 @ n1) @ n0)) @ (mbox_s4 @ (geq @ (minus @ n999 @ n1) @ n0))) @ (mbox_s4 @ true))))))))))))))))) = $true)),
% 2.26/0.71 inference(fool_elimination,[],[f488])).
% 2.26/0.71 thf(f488,plain,(
% 2.26/0.71 ~(mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n3 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (geq @ n2 @ n0)) @ (mbox_s4 @ (geq @ (minus @ n999 @ n1) @ n0))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (geq @ (minus @ n3 @ n1) @ n0)) @ (mbox_s4 @ (geq @ (minus @ n999 @ n1) @ n0))) @ (mbox_s4 @ true))))))))))))))))),
% 2.26/0.71 inference(rectify,[],[f218])).
% 2.26/0.71 thf(f218,negated_conjecture,(
% 2.26/0.71 ~(mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n3 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (geq @ n2 @ n0)) @ (mbox_s4 @ (geq @ (minus @ n999 @ n1) @ n0))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (geq @ (minus @ n3 @ n1) @ n0)) @ (mbox_s4 @ (geq @ (minus @ n999 @ n1) @ n0))) @ (mbox_s4 @ true))))))))))))))))),
% 2.26/0.71 inference(negated_conjecture,[],[f217])).
% 2.26/0.71 thf(f217,conjecture,(
% 2.26/0.71 (mvalid @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n3 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (geq @ n2 @ n0)) @ (mbox_s4 @ (geq @ (minus @ n999 @ n1) @ n0))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (geq @ (minus @ n6 @ n1) @ n0)) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (geq @ (minus @ n3 @ n1) @ n0)) @ (mbox_s4 @ (geq @ (minus @ n999 @ n1) @ n0))) @ (mbox_s4 @ true))))))))))))))))),
% 2.26/0.71 file('/export/starexec/sandbox/tmp/tmp.WRVHvVyYzE/Vampire---4.8_29776',quaternion_ds1_inuse_0019)).
% 2.26/0.71 thf(f3392,plain,(
% 2.26/0.71 ( ! [X0 : $i] : (((true @ X0) = $true)) )),
% 2.26/0.71 inference(trivial_inequality_removal,[],[f3389])).
% 2.26/0.71 thf(f3389,plain,(
% 2.26/0.71 ( ! [X0 : $i] : (($false = $true) | ((true @ X0) = $true)) )),
% 2.26/0.71 inference(superposition,[],[f2611,f1200])).
% 2.26/0.71 thf(f1200,plain,(
% 2.26/0.71 ( ! [X2 : $i,X1 : $i] : (($false = (rel_s4 @ X1 @ X2)) | ((true @ X2) = $true)) )),
% 2.26/0.71 inference(not_proxy_clausification,[],[f1199])).
% 2.26/0.71 thf(f1199,plain,(
% 2.26/0.71 ( ! [X2 : $i,X1 : $i] : (((true @ X2) = $true) | ((~ (rel_s4 @ X1 @ X2)) = $true)) )),
% 2.26/0.71 inference(binary_proxy_clausification,[],[f1198])).
% 2.26/0.71 thf(f1198,plain,(
% 2.26/0.71 ( ! [X2 : $i,X1 : $i] : ((((~ (rel_s4 @ X1 @ X2)) | (true @ X2)) = $true)) )),
% 2.26/0.71 inference(beta_eta_normalization,[],[f1197])).
% 2.26/0.71 thf(f1197,plain,(
% 2.26/0.71 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (true @ Y0))) @ X2) = $true)) )),
% 2.26/0.71 inference(pi_clausification,[],[f1196])).
% 2.26/0.71 thf(f1196,plain,(
% 2.26/0.71 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (true @ Y0)))) = $true)) )),
% 2.26/0.71 inference(beta_eta_normalization,[],[f1195])).
% 2.26/0.71 thf(f1195,plain,(
% 2.26/0.71 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (true @ Y1))))) @ X1) = $true)) )),
% 2.26/0.71 inference(pi_clausification,[],[f995])).
% 2.26/0.71 thf(f995,plain,(
% 2.26/0.71 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (true @ Y1)))))) = $true)),
% 2.26/0.71 inference(beta_eta_normalization,[],[f824])).
% 2.26/0.71 thf(f824,plain,(
% 2.26/0.71 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ true)) = $true)),
% 2.26/0.71 inference(definition_unfolding,[],[f706,f713,f653])).
% 2.26/0.71 thf(f706,plain,(
% 2.26/0.71 ((mvalid @ (mbox_s4 @ true)) = $true)),
% 2.26/0.71 inference(cnf_transformation,[],[f225])).
% 2.26/0.71 thf(f225,plain,(
% 2.26/0.71 ((mvalid @ (mbox_s4 @ true)) = $true)),
% 2.26/0.71 inference(fool_elimination,[],[f224])).
% 2.26/0.71 thf(f224,plain,(
% 2.26/0.71 (mvalid @ (mbox_s4 @ true))),
% 2.26/0.71 inference(rectify,[],[f166])).
% 2.26/0.71 thf(f166,axiom,(
% 2.26/0.71 (mvalid @ (mbox_s4 @ true))),
% 2.26/0.71 file('/export/starexec/sandbox/tmp/tmp.WRVHvVyYzE/Vampire---4.8_29776',ttrue)).
% 2.26/0.71 thf(f2611,plain,(
% 2.26/0.71 ( ! [X1 : $i] : (((rel_s4 @ X1 @ X1) = $true)) )),
% 2.26/0.71 inference(beta_eta_normalization,[],[f2610])).
% 2.26/0.71 thf(f2610,plain,(
% 2.26/0.71 ( ! [X1 : $i] : ((((^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)) @ X1) = $true)) )),
% 2.26/0.71 inference(pi_clausification,[],[f922])).
% 2.26/0.71 thf(f922,plain,(
% 2.26/0.71 ((!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0))) = $true)),
% 2.26/0.71 inference(beta_eta_normalization,[],[f877])).
% 2.26/0.71 thf(f877,plain,(
% 2.26/0.71 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ rel_s4) = $true)),
% 2.26/0.71 inference(definition_unfolding,[],[f775,f746])).
% 2.26/0.71 thf(f746,plain,(
% 2.26/0.71 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 2.26/0.71 inference(cnf_transformation,[],[f233])).
% 2.26/0.71 thf(f233,plain,(
% 2.26/0.71 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 2.26/0.71 inference(fool_elimination,[],[f232])).
% 2.26/0.71 thf(f232,plain,(
% 2.26/0.71 (mreflexive = (^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))))),
% 2.26/0.71 inference(rectify,[],[f18])).
% 2.26/0.71 thf(f18,axiom,(
% 2.26/0.71 (mreflexive = (^[X5 : $i > $i > $o] : (! [X8] : (X5 @ X8 @ X8))))),
% 2.26/0.71 file('/export/starexec/sandbox/tmp/tmp.WRVHvVyYzE/Vampire---4.8_29776',mreflexive)).
% 2.26/0.71 thf(f775,plain,(
% 2.26/0.71 ((mreflexive @ rel_s4) = $true)),
% 2.26/0.71 inference(cnf_transformation,[],[f305])).
% 2.26/0.71 thf(f305,plain,(
% 2.26/0.71 ((mreflexive @ rel_s4) = $true)),
% 2.26/0.71 inference(fool_elimination,[],[f304])).
% 2.26/0.71 thf(f304,plain,(
% 2.26/0.71 (mreflexive @ rel_s4)),
% 2.26/0.71 inference(rectify,[],[f34])).
% 2.26/0.71 thf(f34,axiom,(
% 2.26/0.71 (mreflexive @ rel_s4)),
% 2.26/0.71 file('/export/starexec/sandbox/tmp/tmp.WRVHvVyYzE/Vampire---4.8_29776',a1)).
% 2.26/0.71 % SZS output end Proof for Vampire---4
% 2.26/0.71 % (30040)------------------------------
% 2.26/0.71 % (30040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.26/0.71 % (30040)Termination reason: Refutation
% 2.26/0.71
% 2.26/0.71 % (30040)Memory used [KB]: 9083
% 2.26/0.71 % (30040)Time elapsed: 0.184 s
% 2.26/0.71 % (30040)Instructions burned: 588 (million)
% 2.26/0.71 % (30040)------------------------------
% 2.26/0.71 % (30040)------------------------------
% 2.26/0.71 % (30009)Success in time 0.321 s
% 2.26/0.71 % Vampire---4.8 exiting
%------------------------------------------------------------------------------