TSTP Solution File: SET045^7 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET045^7 : TPTP v8.2.0. 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 : n002.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 : Tue May 21 03:08:16 EDT 2024
% Result : Theorem 13.69s 2.21s
% Output : Refutation 13.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SET045^7 : TPTP v8.2.0. Released v5.5.0.
% 0.09/0.12 % 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
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 13:21:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TH0_THM_EQU_NAR problem
% 0.11/0.32 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/benchmark/theBenchmark.p
% 0.11/0.33 % (13395)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.11/0.33 % (13394)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.34 % (13393)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.34 % (13394)Instruction limit reached!
% 0.11/0.34 % (13394)------------------------------
% 0.11/0.34 % (13394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (13394)Termination reason: Unknown
% 0.11/0.34 % (13394)Termination phase: shuffling
% 0.11/0.34
% 0.11/0.34 % (13394)Memory used [KB]: 1023
% 0.11/0.34 % (13394)Time elapsed: 0.002 s
% 0.11/0.34 % (13394)Instructions burned: 4 (million)
% 0.11/0.34 % (13394)------------------------------
% 0.11/0.34 % (13394)------------------------------
% 0.11/0.34 % (13393)Instruction limit reached!
% 0.11/0.34 % (13393)------------------------------
% 0.11/0.34 % (13393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (13393)Termination reason: Unknown
% 0.11/0.34 % (13393)Termination phase: shuffling
% 0.11/0.34
% 0.11/0.34 % (13393)Memory used [KB]: 1023
% 0.11/0.34 % (13393)Time elapsed: 0.002 s
% 0.11/0.34 % (13393)Instructions burned: 4 (million)
% 0.11/0.34 % (13393)------------------------------
% 0.11/0.34 % (13393)------------------------------
% 0.11/0.34 % (13390)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.34 % (13392)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 theBenchmark for (2999ds/27Mi)
% 0.11/0.34 % (13395)Refutation not found, incomplete strategy
% 0.11/0.34 % (13395)------------------------------
% 0.11/0.34 % (13395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (13395)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34
% 0.11/0.34
% 0.11/0.34 % (13395)Memory used [KB]: 5628
% 0.11/0.34 % (13395)Time elapsed: 0.006 s
% 0.11/0.34 % (13395)Instructions burned: 19 (million)
% 0.11/0.34 % (13395)------------------------------
% 0.11/0.34 % (13395)------------------------------
% 0.11/0.34 % (13391)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 theBenchmark for (2999ds/4Mi)
% 0.11/0.34 % (13396)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.34 % (13397)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.34 % (13397)Instruction limit reached!
% 0.11/0.34 % (13397)------------------------------
% 0.11/0.34 % (13397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (13397)Termination reason: Unknown
% 0.11/0.34 % (13397)Termination phase: shuffling
% 0.11/0.34
% 0.11/0.34 % (13397)Memory used [KB]: 1023
% 0.11/0.34 % (13397)Time elapsed: 0.003 s
% 0.11/0.34 % (13397)Instructions burned: 3 (million)
% 0.11/0.34 % (13397)------------------------------
% 0.11/0.34 % (13397)------------------------------
% 0.11/0.34 % (13391)Instruction limit reached!
% 0.11/0.34 % (13391)------------------------------
% 0.11/0.34 % (13391)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.34 % (13391)Termination reason: Unknown
% 0.11/0.34 % (13391)Termination phase: Property scanning
% 0.11/0.34
% 0.11/0.34 % (13391)Memory used [KB]: 1023
% 0.11/0.34 % (13391)Time elapsed: 0.005 s
% 0.11/0.34 % (13391)Instructions burned: 5 (million)
% 0.11/0.34 % (13391)------------------------------
% 0.11/0.34 % (13391)------------------------------
% 0.11/0.34 % (13398)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 theBenchmark for (2999ds/37Mi)
% 0.11/0.35 % (13399)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 theBenchmark for (2999ds/15Mi)
% 0.11/0.35 % (13401)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.35 % (13392)Instruction limit reached!
% 0.11/0.35 % (13392)------------------------------
% 0.11/0.35 % (13392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (13392)Termination reason: Unknown
% 0.11/0.35 % (13392)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (13392)Memory used [KB]: 5628
% 0.11/0.35 % (13392)Time elapsed: 0.012 s
% 0.11/0.35 % (13392)Instructions burned: 28 (million)
% 0.11/0.35 % (13392)------------------------------
% 0.11/0.35 % (13392)------------------------------
% 0.11/0.35 % (13401)Instruction limit reached!
% 0.11/0.35 % (13401)------------------------------
% 0.11/0.35 % (13401)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (13401)Termination reason: Unknown
% 0.11/0.35 % (13401)Termination phase: Property scanning
% 0.11/0.35
% 0.11/0.35 % (13401)Memory used [KB]: 1023
% 0.11/0.35 % (13401)Time elapsed: 0.003 s
% 0.11/0.35 % (13401)Instructions burned: 5 (million)
% 0.11/0.35 % (13401)------------------------------
% 0.11/0.35 % (13401)------------------------------
% 0.11/0.35 % (13396)Instruction limit reached!
% 0.11/0.35 % (13396)------------------------------
% 0.11/0.35 % (13396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (13396)Termination reason: Unknown
% 0.11/0.35 % (13396)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (13396)Memory used [KB]: 5628
% 0.11/0.35 % (13396)Time elapsed: 0.011 s
% 0.11/0.35 % (13396)Instructions burned: 18 (million)
% 0.11/0.35 % (13396)------------------------------
% 0.11/0.35 % (13396)------------------------------
% 0.11/0.35 % (13399)Instruction limit reached!
% 0.11/0.35 % (13399)------------------------------
% 0.11/0.35 % (13399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (13399)Termination reason: Unknown
% 0.11/0.35 % (13399)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (13399)Memory used [KB]: 1151
% 0.11/0.35 % (13399)Time elapsed: 0.006 s
% 0.11/0.35 % (13399)Instructions burned: 15 (million)
% 0.11/0.35 % (13399)------------------------------
% 0.11/0.35 % (13399)------------------------------
% 0.11/0.35 % (13398)Instruction limit reached!
% 0.11/0.35 % (13398)------------------------------
% 0.11/0.35 % (13398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (13398)Termination reason: Unknown
% 0.11/0.35 % (13398)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (13398)Memory used [KB]: 5884
% 0.11/0.35 % (13398)Time elapsed: 0.012 s
% 0.11/0.35 % (13398)Instructions burned: 38 (million)
% 0.11/0.35 % (13398)------------------------------
% 0.11/0.35 % (13398)------------------------------
% 0.11/0.36 % (13410)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 theBenchmark for (2999ds/3Mi)
% 0.11/0.36 % (13403)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 theBenchmark for (2999ds/1041Mi)
% 0.11/0.36 % (13410)Instruction limit reached!
% 0.11/0.36 % (13410)------------------------------
% 0.11/0.36 % (13410)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (13410)Termination reason: Unknown
% 0.11/0.36 % (13410)Termination phase: Property scanning
% 0.11/0.36
% 0.11/0.36 % (13410)Memory used [KB]: 1023
% 0.11/0.36 % (13410)Time elapsed: 0.003 s
% 0.11/0.36 % (13410)Instructions burned: 5 (million)
% 0.11/0.36 % (13410)------------------------------
% 0.11/0.36 % (13410)------------------------------
% 0.11/0.36 % (13411)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 theBenchmark for (2999ds/3Mi)
% 0.11/0.36 % (13409)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.11/0.36 % (13411)Instruction limit reached!
% 0.11/0.36 % (13411)------------------------------
% 0.11/0.36 % (13411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (13411)Termination reason: Unknown
% 0.11/0.36 % (13411)Termination phase: shuffling
% 0.11/0.36
% 0.11/0.36 % (13411)Memory used [KB]: 1023
% 0.11/0.36 % (13411)Time elapsed: 0.003 s
% 0.11/0.36 % (13411)Instructions burned: 5 (million)
% 0.11/0.36 % (13411)------------------------------
% 0.11/0.36 % (13411)------------------------------
% 0.11/0.36 % (13405)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.36 % (13413)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.36 % (13413)Instruction limit reached!
% 0.11/0.36 % (13413)------------------------------
% 0.11/0.36 % (13413)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (13413)Termination reason: Unknown
% 0.11/0.36 % (13413)Termination phase: Property scanning
% 0.11/0.36
% 0.11/0.36 % (13413)Memory used [KB]: 1023
% 0.11/0.36 % (13413)Time elapsed: 0.003 s
% 0.11/0.36 % (13413)Instructions burned: 5 (million)
% 0.11/0.36 % (13413)------------------------------
% 0.11/0.36 % (13413)------------------------------
% 0.11/0.36 % (13412)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.36 % (13405)Instruction limit reached!
% 0.11/0.36 % (13405)------------------------------
% 0.11/0.36 % (13405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (13405)Termination reason: Unknown
% 0.11/0.36 % (13405)Termination phase: Unused predicate definition removal
% 0.11/0.36
% 0.11/0.36 % (13405)Memory used [KB]: 1023
% 0.11/0.36 % (13405)Time elapsed: 0.006 s
% 0.11/0.36 % (13405)Instructions burned: 7 (million)
% 0.11/0.36 % (13405)------------------------------
% 0.11/0.36 % (13405)------------------------------
% 0.11/0.37 % (13414)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.11/0.37 % (13409)Instruction limit reached!
% 0.11/0.37 % (13409)------------------------------
% 0.11/0.37 % (13409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (13409)Termination reason: Unknown
% 0.11/0.37 % (13409)Termination phase: Saturation
% 0.11/0.37
% 0.11/0.37 % (13409)Memory used [KB]: 5628
% 0.11/0.37 % (13409)Time elapsed: 0.008 s
% 0.11/0.37 % (13409)Instructions burned: 17 (million)
% 0.11/0.37 % (13409)------------------------------
% 0.11/0.37 % (13409)------------------------------
% 0.11/0.37 % (13414)Instruction limit reached!
% 0.11/0.37 % (13414)------------------------------
% 0.11/0.37 % (13414)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (13414)Termination reason: Unknown
% 0.11/0.37 % (13414)Termination phase: Property scanning
% 0.11/0.37
% 0.11/0.37 % (13414)Memory used [KB]: 1023
% 0.11/0.37 % (13414)Time elapsed: 0.003 s
% 0.11/0.37 % (13414)Instructions burned: 6 (million)
% 0.11/0.37 % (13414)------------------------------
% 0.11/0.37 % (13414)------------------------------
% 0.11/0.37 % (13412)Instruction limit reached!
% 0.11/0.37 % (13412)------------------------------
% 0.11/0.37 % (13412)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (13412)Termination reason: Unknown
% 0.11/0.37 % (13412)Termination phase: Property scanning
% 0.11/0.37
% 0.11/0.37 % (13412)Memory used [KB]: 1023
% 0.11/0.37 % (13412)Time elapsed: 0.006 s
% 0.11/0.37 % (13412)Instructions burned: 7 (million)
% 0.11/0.37 % (13412)------------------------------
% 0.11/0.37 % (13412)------------------------------
% 0.11/0.37 % (13415)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.37 % (13416)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.11/0.38 % (13419)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 theBenchmark for (2999ds/21Mi)
% 0.11/0.38 % (13415)Instruction limit reached!
% 0.11/0.38 % (13415)------------------------------
% 0.11/0.38 % (13415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (13415)Termination reason: Unknown
% 0.11/0.38 % (13415)Termination phase: Saturation
% 0.11/0.38
% 0.11/0.38 % (13415)Memory used [KB]: 5628
% 0.11/0.38 % (13415)Time elapsed: 0.009 s
% 0.11/0.38 % (13415)Instructions burned: 20 (million)
% 0.11/0.38 % (13415)------------------------------
% 0.11/0.38 % (13415)------------------------------
% 0.11/0.38 % (13418)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 theBenchmark for (2999ds/902Mi)
% 0.11/0.38 % (13417)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.11/0.38 % (13419)Instruction limit reached!
% 0.11/0.38 % (13419)------------------------------
% 0.11/0.38 % (13419)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (13419)Termination reason: Unknown
% 0.11/0.38 % (13419)Termination phase: Saturation
% 0.11/0.38
% 0.11/0.38 % (13419)Memory used [KB]: 5628
% 0.11/0.38 % (13419)Time elapsed: 0.007 s
% 0.11/0.38 % (13419)Instructions burned: 22 (million)
% 0.11/0.38 % (13419)------------------------------
% 0.11/0.38 % (13419)------------------------------
% 0.11/0.38 % (13417)Instruction limit reached!
% 0.11/0.38 % (13417)------------------------------
% 0.11/0.38 % (13417)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (13417)Termination reason: Unknown
% 0.11/0.38 % (13417)Termination phase: Property scanning
% 0.11/0.38
% 0.11/0.38 % (13417)Memory used [KB]: 1023
% 0.11/0.38 % (13417)Time elapsed: 0.005 s
% 0.11/0.38 % (13417)Instructions burned: 6 (million)
% 0.11/0.38 % (13417)------------------------------
% 0.11/0.38 % (13417)------------------------------
% 0.11/0.38 % (13420)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.11/0.38 % (13418)Refutation not found, incomplete strategy
% 0.11/0.38 % (13418)------------------------------
% 0.11/0.38 % (13418)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (13418)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.38
% 0.11/0.38
% 0.11/0.38 % (13418)Memory used [KB]: 5628
% 0.11/0.38 % (13418)Time elapsed: 0.006 s
% 0.11/0.38 % (13418)Instructions burned: 11 (million)
% 0.11/0.38 % (13418)------------------------------
% 0.11/0.38 % (13418)------------------------------
% 0.11/0.39 % (13421)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 theBenchmark for (2999ds/6Mi)
% 0.11/0.39 % (13420)Instruction limit reached!
% 0.11/0.39 % (13420)------------------------------
% 0.11/0.39 % (13420)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (13420)Termination reason: Unknown
% 0.11/0.39 % (13420)Termination phase: Property scanning
% 0.11/0.39
% 0.11/0.39 % (13420)Memory used [KB]: 1023
% 0.11/0.39 % (13420)Time elapsed: 0.005 s
% 0.11/0.39 % (13420)Instructions burned: 6 (million)
% 0.11/0.39 % (13420)------------------------------
% 0.11/0.39 % (13420)------------------------------
% 0.11/0.39 % (13421)Instruction limit reached!
% 0.11/0.39 % (13421)------------------------------
% 0.11/0.39 % (13421)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (13421)Termination reason: Unknown
% 0.11/0.39 % (13421)Termination phase: Property scanning
% 0.11/0.39
% 0.11/0.39 % (13421)Memory used [KB]: 1023
% 0.11/0.39 % (13421)Time elapsed: 0.004 s
% 0.11/0.39 % (13421)Instructions burned: 8 (million)
% 0.11/0.39 % (13421)------------------------------
% 0.11/0.39 % (13421)------------------------------
% 0.11/0.39 % (13422)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.11/0.40 % (13424)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 theBenchmark for (2999ds/19Mi)
% 0.11/0.40 % (13426)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.11/0.40 % (13423)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 theBenchmark for (2999ds/779Mi)
% 0.11/0.40 % (13425)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.16/0.40 % (13426)Instruction limit reached!
% 0.16/0.40 % (13426)------------------------------
% 0.16/0.40 % (13426)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (13426)Termination reason: Unknown
% 0.16/0.40 % (13426)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (13426)Memory used [KB]: 5628
% 0.16/0.40 % (13426)Time elapsed: 0.007 s
% 0.16/0.40 % (13426)Instructions burned: 19 (million)
% 0.16/0.40 % (13426)------------------------------
% 0.16/0.40 % (13426)------------------------------
% 0.16/0.40 % (13424)Instruction limit reached!
% 0.16/0.40 % (13424)------------------------------
% 0.16/0.40 % (13424)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (13424)Termination reason: Unknown
% 0.16/0.40 % (13424)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (13424)Memory used [KB]: 5628
% 0.16/0.40 % (13424)Time elapsed: 0.009 s
% 0.16/0.40 % (13424)Instructions burned: 21 (million)
% 0.16/0.40 % (13424)------------------------------
% 0.16/0.40 % (13424)------------------------------
% 0.16/0.41 % (13427)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.41 % (13427)Instruction limit reached!
% 0.16/0.41 % (13427)------------------------------
% 0.16/0.41 % (13427)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (13427)Termination reason: Unknown
% 0.16/0.41 % (13427)Termination phase: Property scanning
% 0.16/0.41
% 0.16/0.41 % (13427)Memory used [KB]: 1023
% 0.16/0.41 % (13427)Time elapsed: 0.003 s
% 0.16/0.41 % (13427)Instructions burned: 5 (million)
% 0.16/0.41 % (13427)------------------------------
% 0.16/0.41 % (13427)------------------------------
% 0.16/0.42 % (13428)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.16/0.42 % (13390)Instruction limit reached!
% 0.16/0.42 % (13390)------------------------------
% 0.16/0.42 % (13390)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (13390)Termination reason: Unknown
% 0.16/0.42 % (13390)Termination phase: Saturation
% 0.16/0.42
% 0.16/0.42 % (13390)Memory used [KB]: 6268
% 0.16/0.42 % (13390)Time elapsed: 0.082 s
% 0.16/0.42 % (13390)Instructions burned: 183 (million)
% 0.16/0.42 % (13390)------------------------------
% 0.16/0.42 % (13390)------------------------------
% 0.16/0.43 % (13429)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.16/0.43 % (13428)Instruction limit reached!
% 0.16/0.43 % (13428)------------------------------
% 0.16/0.43 % (13428)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (13428)Termination reason: Unknown
% 0.16/0.43 % (13428)Termination phase: Saturation
% 0.16/0.43
% 0.16/0.43 % (13428)Memory used [KB]: 5756
% 0.16/0.43 % (13428)Time elapsed: 0.017 s
% 0.16/0.43 % (13428)Instructions burned: 30 (million)
% 0.16/0.43 % (13428)------------------------------
% 0.16/0.43 % (13428)------------------------------
% 0.16/0.43 % (13430)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.45 % (13431)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 theBenchmark for (2999ds/3Mi)
% 0.16/0.45 % (13431)Instruction limit reached!
% 0.16/0.45 % (13431)------------------------------
% 0.16/0.45 % (13431)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (13431)Termination reason: Unknown
% 0.16/0.45 % (13431)Termination phase: Property scanning
% 0.16/0.45
% 0.16/0.45 % (13431)Memory used [KB]: 1023
% 0.16/0.45 % (13431)Time elapsed: 0.003 s
% 0.16/0.45 % (13431)Instructions burned: 5 (million)
% 0.16/0.45 % (13431)------------------------------
% 0.16/0.45 % (13431)------------------------------
% 0.16/0.46 % (13432)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 theBenchmark for (2998ds/20Mi)
% 0.16/0.46 % (13432)Instruction limit reached!
% 0.16/0.46 % (13432)------------------------------
% 0.16/0.46 % (13432)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.46 % (13432)Termination reason: Unknown
% 0.16/0.46 % (13432)Termination phase: Saturation
% 0.16/0.46
% 0.16/0.46 % (13432)Memory used [KB]: 5628
% 0.16/0.46 % (13432)Time elapsed: 0.007 s
% 0.16/0.46 % (13432)Instructions burned: 20 (million)
% 0.16/0.46 % (13432)------------------------------
% 0.16/0.46 % (13432)------------------------------
% 0.16/0.47 % (13433)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 theBenchmark for (2998ds/86Mi)
% 0.16/0.47 % (13430)Instruction limit reached!
% 0.16/0.47 % (13430)------------------------------
% 0.16/0.47 % (13430)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.47 % (13430)Termination reason: Unknown
% 0.16/0.47 % (13430)Termination phase: Saturation
% 0.16/0.47
% 0.16/0.47 % (13430)Memory used [KB]: 6012
% 0.16/0.47 % (13430)Time elapsed: 0.044 s
% 0.16/0.47 % (13430)Instructions burned: 101 (million)
% 0.16/0.47 % (13430)------------------------------
% 0.16/0.47 % (13430)------------------------------
% 0.16/0.48 % (13429)Instruction limit reached!
% 0.16/0.48 % (13429)------------------------------
% 0.16/0.48 % (13429)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.48 % (13429)Termination reason: Unknown
% 0.16/0.48 % (13429)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (13429)Memory used [KB]: 6012
% 0.16/0.48 % (13429)Time elapsed: 0.057 s
% 0.16/0.48 % (13429)Instructions burned: 129 (million)
% 0.16/0.48 % (13429)------------------------------
% 0.16/0.48 % (13429)------------------------------
% 0.16/0.48 % (13434)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 theBenchmark for (2998ds/107Mi)
% 0.16/0.49 % (13435)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 theBenchmark for (2998ds/39Mi)
% 0.16/0.50 % (13433)Instruction limit reached!
% 0.16/0.50 % (13433)------------------------------
% 0.16/0.50 % (13433)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.50 % (13433)Termination reason: Unknown
% 0.16/0.50 % (13433)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (13433)Memory used [KB]: 6012
% 0.16/0.50 % (13433)Time elapsed: 0.028 s
% 0.16/0.50 % (13433)Instructions burned: 87 (million)
% 0.16/0.50 % (13433)------------------------------
% 0.16/0.50 % (13433)------------------------------
% 0.16/0.50 % (13435)Instruction limit reached!
% 0.16/0.50 % (13435)------------------------------
% 0.16/0.50 % (13435)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.50 % (13435)Termination reason: Unknown
% 0.16/0.50 % (13435)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (13435)Memory used [KB]: 5884
% 0.16/0.50 % (13435)Time elapsed: 0.036 s
% 0.16/0.50 % (13435)Instructions burned: 40 (million)
% 0.16/0.50 % (13435)------------------------------
% 0.16/0.50 % (13435)------------------------------
% 0.16/0.51 % (13436)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 theBenchmark for (2998ds/448Mi)
% 0.16/0.51 % (13437)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 theBenchmark for (2998ds/46Mi)
% 0.16/0.52 % (13434)Instruction limit reached!
% 0.16/0.52 % (13434)------------------------------
% 0.16/0.52 % (13434)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.52 % (13434)Termination reason: Unknown
% 0.16/0.52 % (13434)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (13434)Memory used [KB]: 6140
% 0.16/0.52 % (13434)Time elapsed: 0.056 s
% 0.16/0.52 % (13434)Instructions burned: 107 (million)
% 0.16/0.52 % (13434)------------------------------
% 0.16/0.52 % (13434)------------------------------
% 0.16/0.52 % (13422)Instruction limit reached!
% 0.16/0.52 % (13422)------------------------------
% 0.16/0.52 % (13422)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.52 % (13422)Termination reason: Unknown
% 0.16/0.52 % (13422)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (13422)Memory used [KB]: 6524
% 0.16/0.52 % (13422)Time elapsed: 0.135 s
% 0.16/0.52 % (13422)Instructions burned: 380 (million)
% 0.16/0.52 % (13422)------------------------------
% 0.16/0.52 % (13422)------------------------------
% 0.16/0.53 % (13438)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 theBenchmark for (2998ds/98Mi)
% 0.16/0.53 % (13437)Instruction limit reached!
% 0.16/0.53 % (13437)------------------------------
% 0.16/0.53 % (13437)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.53 % (13437)Termination reason: Unknown
% 0.16/0.53 % (13437)Termination phase: Saturation
% 0.16/0.53
% 0.16/0.53 % (13437)Memory used [KB]: 5756
% 0.16/0.53 % (13437)Time elapsed: 0.041 s
% 0.16/0.53 % (13437)Instructions burned: 48 (million)
% 0.16/0.53 % (13437)------------------------------
% 0.16/0.53 % (13437)------------------------------
% 0.16/0.53 % (13439)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 theBenchmark for (2998ds/507Mi)
% 0.16/0.54 % (13439)Refutation not found, incomplete strategy
% 0.16/0.54 % (13439)------------------------------
% 0.16/0.54 % (13439)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.54 % (13439)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.54
% 0.16/0.54
% 0.16/0.54 % (13439)Memory used [KB]: 5756
% 0.16/0.54 % (13439)Time elapsed: 0.007 s
% 0.16/0.54 % (13439)Instructions burned: 22 (million)
% 0.16/0.54 % (13439)------------------------------
% 0.16/0.54 % (13439)------------------------------
% 0.16/0.54 % (13440)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 theBenchmark for (2998ds/149Mi)
% 0.16/0.55 % (13441)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.16/0.56 % (13438)Instruction limit reached!
% 0.16/0.56 % (13438)------------------------------
% 0.16/0.56 % (13438)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.56 % (13438)Termination reason: Unknown
% 0.16/0.56 % (13438)Termination phase: Saturation
% 0.16/0.56
% 0.16/0.56 % (13438)Memory used [KB]: 1407
% 0.16/0.56 % (13438)Time elapsed: 0.053 s
% 0.16/0.56 % (13438)Instructions burned: 99 (million)
% 0.16/0.56 % (13438)------------------------------
% 0.16/0.56 % (13438)------------------------------
% 0.16/0.56 % (13441)Instruction limit reached!
% 0.16/0.56 % (13441)------------------------------
% 0.16/0.56 % (13441)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.56 % (13441)Termination reason: Unknown
% 0.16/0.56 % (13441)Termination phase: Saturation
% 0.16/0.56
% 0.16/0.56 % (13441)Memory used [KB]: 5756
% 0.16/0.56 % (13441)Time elapsed: 0.012 s
% 0.16/0.56 % (13441)Instructions burned: 41 (million)
% 0.16/0.56 % (13441)------------------------------
% 0.16/0.56 % (13441)------------------------------
% 0.16/0.57 % (13442)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 theBenchmark for (2997ds/6Mi)
% 0.16/0.57 % (13443)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 theBenchmark for (2997ds/1087Mi)
% 0.16/0.57 % (13442)Instruction limit reached!
% 0.16/0.57 % (13442)------------------------------
% 0.16/0.57 % (13442)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.57 % (13442)Termination reason: Unknown
% 0.16/0.57 % (13442)Termination phase: Property scanning
% 0.16/0.57
% 0.16/0.57 % (13442)Memory used [KB]: 1023
% 0.16/0.57 % (13442)Time elapsed: 0.003 s
% 0.16/0.57 % (13442)Instructions burned: 7 (million)
% 0.16/0.57 % (13442)------------------------------
% 0.16/0.57 % (13442)------------------------------
% 0.16/0.58 % (13443)Refutation not found, incomplete strategy
% 0.16/0.58 % (13443)------------------------------
% 0.16/0.58 % (13443)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.58 % (13443)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.58
% 0.16/0.58
% 0.16/0.58 % (13443)Memory used [KB]: 5756
% 0.16/0.58 % (13443)Time elapsed: 0.033 s
% 0.16/0.58 % (13443)Instructions burned: 32 (million)
% 0.16/0.58 % (13443)------------------------------
% 0.16/0.58 % (13443)------------------------------
% 0.16/0.58 % (13444)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 0.16/0.58 % (13416)Instruction limit reached!
% 0.16/0.58 % (13416)------------------------------
% 0.16/0.58 % (13416)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.58 % (13416)Termination reason: Unknown
% 0.16/0.58 % (13416)Termination phase: Saturation
% 0.16/0.58
% 0.16/0.58 % (13416)Memory used [KB]: 7164
% 0.16/0.58 % (13416)Time elapsed: 0.209 s
% 0.16/0.58 % (13416)Instructions burned: 711 (million)
% 0.16/0.58 % (13416)------------------------------
% 0.16/0.58 % (13416)------------------------------
% 0.16/0.58 % (13445)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 theBenchmark for (2997ds/44Mi)
% 0.16/0.59 % (13446)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 theBenchmark for (2997ds/432Mi)
% 0.16/0.59 % (13440)Instruction limit reached!
% 0.16/0.59 % (13440)------------------------------
% 0.16/0.59 % (13440)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.59 % (13444)Instruction limit reached!
% 0.16/0.59 % (13444)------------------------------
% 0.16/0.59 % (13444)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.59 % (13440)Termination reason: Unknown
% 0.16/0.59 % (13440)Termination phase: Saturation
% 0.16/0.59
% 0.16/0.59 % (13440)Memory used [KB]: 6140
% 0.16/0.59 % (13440)Time elapsed: 0.075 s
% 0.16/0.59 % (13440)Instructions burned: 151 (million)
% 0.16/0.59 % (13440)------------------------------
% 0.16/0.59 % (13440)------------------------------
% 0.16/0.59 % (13444)Termination reason: Unknown
% 0.16/0.59 % (13444)Termination phase: Saturation
% 0.16/0.59
% 0.16/0.59 % (13444)Memory used [KB]: 5756
% 0.16/0.59 % (13444)Time elapsed: 0.013 s
% 0.16/0.59 % (13444)Instructions burned: 47 (million)
% 0.16/0.59 % (13444)------------------------------
% 0.16/0.59 % (13444)------------------------------
% 0.16/0.60 % (13447)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi)
% 0.16/0.60 % (13445)Instruction limit reached!
% 0.16/0.60 % (13445)------------------------------
% 0.16/0.60 % (13445)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.60 % (13445)Termination reason: Unknown
% 0.16/0.60 % (13445)Termination phase: Saturation
% 0.16/0.60
% 0.16/0.60 % (13445)Memory used [KB]: 1279
% 0.16/0.60 % (13445)Time elapsed: 0.013 s
% 0.16/0.60 % (13445)Instructions burned: 45 (million)
% 0.16/0.60 % (13445)------------------------------
% 0.16/0.60 % (13445)------------------------------
% 0.16/0.60 % (13448)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 theBenchmark for (2997ds/31Mi)
% 2.25/0.61 % (13448)Instruction limit reached!
% 2.25/0.61 % (13448)------------------------------
% 2.25/0.61 % (13448)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.25/0.61 % (13448)Termination reason: Unknown
% 2.25/0.61 % (13448)Termination phase: Saturation
% 2.25/0.61
% 2.25/0.61 % (13448)Memory used [KB]: 5628
% 2.25/0.61 % (13448)Time elapsed: 0.010 s
% 2.25/0.61 % (13448)Instructions burned: 34 (million)
% 2.25/0.61 % (13448)------------------------------
% 2.25/0.61 % (13448)------------------------------
% 2.25/0.61 % (13449)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.25/0.62 % (13447)Instruction limit reached!
% 2.25/0.62 % (13447)------------------------------
% 2.25/0.62 % (13447)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.25/0.62 % (13447)Termination reason: Unknown
% 2.25/0.62 % (13447)Termination phase: Saturation
% 2.25/0.62
% 2.25/0.62 % (13447)Memory used [KB]: 6012
% 2.25/0.62 % (13447)Time elapsed: 0.021 s
% 2.25/0.62 % (13447)Instructions burned: 62 (million)
% 2.25/0.62 % (13447)------------------------------
% 2.25/0.62 % (13447)------------------------------
% 2.25/0.62 % (13450)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2997ds/453Mi)
% 2.40/0.62 % (13451)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2997ds/71Mi)
% 2.44/0.64 % (13449)Instruction limit reached!
% 2.44/0.64 % (13449)------------------------------
% 2.44/0.64 % (13449)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.44/0.64 % (13449)Termination reason: Unknown
% 2.44/0.64 % (13449)Termination phase: Saturation
% 2.44/0.64
% 2.44/0.64 % (13449)Memory used [KB]: 5884
% 2.44/0.64 % (13449)Time elapsed: 0.032 s
% 2.44/0.64 % (13449)Instructions burned: 98 (million)
% 2.44/0.64 % (13449)------------------------------
% 2.44/0.64 % (13449)------------------------------
% 2.44/0.65 % (13452)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2996ds/83Mi)
% 2.44/0.65 % (13451)Instruction limit reached!
% 2.44/0.65 % (13451)------------------------------
% 2.44/0.65 % (13451)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.44/0.65 % (13451)Termination reason: Unknown
% 2.44/0.65 % (13451)Termination phase: Saturation
% 2.44/0.65
% 2.44/0.65 % (13451)Memory used [KB]: 6012
% 2.44/0.65 % (13451)Time elapsed: 0.026 s
% 2.44/0.65 % (13451)Instructions burned: 73 (million)
% 2.44/0.65 % (13451)------------------------------
% 2.44/0.65 % (13451)------------------------------
% 2.44/0.65 % (13436)Instruction limit reached!
% 2.44/0.65 % (13436)------------------------------
% 2.44/0.65 % (13436)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.44/0.65 % (13436)Termination reason: Unknown
% 2.44/0.65 % (13436)Termination phase: Saturation
% 2.44/0.65
% 2.44/0.65 % (13436)Memory used [KB]: 6652
% 2.44/0.65 % (13436)Time elapsed: 0.168 s
% 2.44/0.65 % (13436)Instructions burned: 450 (million)
% 2.44/0.65 % (13436)------------------------------
% 2.44/0.65 % (13436)------------------------------
% 2.44/0.66 % (13453)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2996ds/11Mi)
% 2.44/0.66 % (13454)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2996ds/41Mi)
% 2.44/0.66 % (13453)Instruction limit reached!
% 2.44/0.66 % (13453)------------------------------
% 2.44/0.66 % (13453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.44/0.66 % (13423)Instruction limit reached!
% 2.44/0.66 % (13423)------------------------------
% 2.44/0.66 % (13423)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.44/0.66 % (13423)Termination reason: Unknown
% 2.44/0.66 % (13423)Termination phase: Saturation
% 2.44/0.66
% 2.44/0.66 % (13423)Memory used [KB]: 6524
% 2.44/0.66 % (13423)Time elapsed: 0.263 s
% 2.44/0.66 % (13423)Instructions burned: 781 (million)
% 2.44/0.66 % (13423)------------------------------
% 2.44/0.66 % (13423)------------------------------
% 2.44/0.66 % (13453)Termination reason: Unknown
% 2.44/0.66 % (13453)Termination phase: Property scanning
% 2.44/0.66
% 2.44/0.66 % (13453)Memory used [KB]: 1151
% 2.44/0.66 % (13453)Time elapsed: 0.004 s
% 2.44/0.66 % (13453)Instructions burned: 11 (million)
% 2.44/0.66 % (13453)------------------------------
% 2.44/0.66 % (13453)------------------------------
% 2.44/0.67 % (13455)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.44/0.67 % (13456)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 2.44/0.67 % (13455)Instruction limit reached!
% 2.44/0.67 % (13455)------------------------------
% 2.44/0.67 % (13455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.44/0.67 % (13455)Termination reason: Unknown
% 2.44/0.67 % (13455)Termination phase: Property scanning
% 2.44/0.67
% 2.44/0.67 % (13455)Memory used [KB]: 1023
% 2.44/0.67 % (13455)Time elapsed: 0.003 s
% 2.44/0.67 % (13455)Instructions burned: 7 (million)
% 2.44/0.67 % (13455)------------------------------
% 2.44/0.67 % (13455)------------------------------
% 2.44/0.67 % (13454)Instruction limit reached!
% 2.44/0.67 % (13454)------------------------------
% 2.44/0.67 % (13454)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.44/0.67 % (13454)Termination reason: Unknown
% 2.44/0.67 % (13454)Termination phase: Saturation
% 2.44/0.67
% 2.44/0.67 % (13454)Memory used [KB]: 5884
% 2.44/0.67 % (13454)Time elapsed: 0.013 s
% 2.44/0.67 % (13454)Instructions burned: 41 (million)
% 2.44/0.67 % (13454)------------------------------
% 2.44/0.67 % (13454)------------------------------
% 2.44/0.67 % (13452)Instruction limit reached!
% 2.44/0.67 % (13452)------------------------------
% 2.44/0.67 % (13452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.44/0.67 % (13452)Termination reason: Unknown
% 2.44/0.67 % (13452)Termination phase: Saturation
% 2.44/0.67
% 2.44/0.67 % (13452)Memory used [KB]: 5756
% 2.44/0.67 % (13452)Time elapsed: 0.026 s
% 2.44/0.67 % (13452)Instructions burned: 86 (million)
% 2.44/0.67 % (13452)------------------------------
% 2.44/0.67 % (13452)------------------------------
% 2.44/0.68 % (13457)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2996ds/343Mi)
% 2.44/0.68 % (13458)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2996ds/109Mi)
% 2.44/0.68 % (13459)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2996ds/253Mi)
% 2.44/0.69 % (13425)Instruction limit reached!
% 2.44/0.69 % (13425)------------------------------
% 2.44/0.69 % (13425)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.44/0.69 % (13425)Termination reason: Unknown
% 2.44/0.69 % (13425)Termination phase: Saturation
% 2.44/0.69
% 2.44/0.69 % (13425)Memory used [KB]: 7164
% 2.44/0.69 % (13425)Time elapsed: 0.289 s
% 2.44/0.69 % (13425)Instructions burned: 879 (million)
% 2.44/0.69 % (13425)------------------------------
% 2.44/0.69 % (13425)------------------------------
% 2.44/0.69 % (13459)Refutation not found, incomplete strategy
% 2.44/0.69 % (13459)------------------------------
% 2.44/0.69 % (13459)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.44/0.69 % (13459)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.69
% 2.44/0.69
% 2.44/0.69 % (13459)Memory used [KB]: 5628
% 2.44/0.69 % (13459)Time elapsed: 0.006 s
% 2.44/0.69 % (13459)Instructions burned: 18 (million)
% 2.44/0.69 % (13459)------------------------------
% 2.44/0.69 % (13459)------------------------------
% 2.44/0.70 % (13460)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2996ds/140Mi)
% 2.44/0.70 % (13461)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2996ds/614Mi)
% 2.88/0.70 % (13460)Refutation not found, incomplete strategy
% 2.88/0.70 % (13460)------------------------------
% 2.88/0.70 % (13460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.88/0.70 % (13460)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.70
% 2.88/0.70
% 2.88/0.70 % (13460)Memory used [KB]: 5756
% 2.88/0.70 % (13460)Time elapsed: 0.007 s
% 2.88/0.70 % (13460)Instructions burned: 21 (million)
% 2.88/0.70 % (13460)------------------------------
% 2.88/0.70 % (13460)------------------------------
% 2.88/0.71 % (13456)Refutation not found, incomplete strategy
% 2.88/0.71 % (13456)------------------------------
% 2.88/0.71 % (13456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.88/0.71 % (13456)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.71
% 2.88/0.71
% 2.88/0.71 % (13456)Memory used [KB]: 6140
% 2.88/0.71 % (13456)Time elapsed: 0.041 s
% 2.88/0.71 % (13456)Instructions burned: 130 (million)
% 2.88/0.71 % (13456)------------------------------
% 2.88/0.71 % (13456)------------------------------
% 2.88/0.71 % (13403)Instruction limit reached!
% 2.88/0.71 % (13403)------------------------------
% 2.88/0.71 % (13403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.88/0.71 % (13403)Termination reason: Unknown
% 2.88/0.71 % (13403)Termination phase: Saturation
% 2.88/0.71
% 2.88/0.71 % (13403)Memory used [KB]: 7547
% 2.88/0.71 % (13403)Time elapsed: 0.355 s
% 2.88/0.71 % (13403)Instructions burned: 1043 (million)
% 2.88/0.71 % (13403)------------------------------
% 2.88/0.71 % (13403)------------------------------
% 2.88/0.71 % (13462)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2996ds/202Mi)
% 2.88/0.71 % (13462)Refutation not found, incomplete strategy
% 2.88/0.71 % (13462)------------------------------
% 2.88/0.71 % (13462)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.88/0.71 % (13462)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.71
% 2.88/0.71
% 2.88/0.71 % (13462)Memory used [KB]: 5628
% 2.88/0.71 % (13462)Time elapsed: 0.004 s
% 2.88/0.71 % (13462)Instructions burned: 9 (million)
% 2.88/0.71 % (13462)------------------------------
% 2.88/0.71 % (13462)------------------------------
% 2.88/0.72 % (13458)Instruction limit reached!
% 2.88/0.72 % (13458)------------------------------
% 2.88/0.72 % (13458)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.88/0.72 % (13458)Termination reason: Unknown
% 2.88/0.72 % (13458)Termination phase: Saturation
% 2.88/0.72
% 2.88/0.72 % (13458)Memory used [KB]: 6012
% 2.88/0.72 % (13458)Time elapsed: 0.037 s
% 2.88/0.72 % (13458)Instructions burned: 111 (million)
% 2.88/0.72 % (13458)------------------------------
% 2.88/0.72 % (13458)------------------------------
% 2.88/0.72 % (13446)Instruction limit reached!
% 2.88/0.72 % (13446)------------------------------
% 2.88/0.72 % (13446)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.88/0.72 % (13446)Termination reason: Unknown
% 2.88/0.72 % (13446)Termination phase: Saturation
% 2.88/0.72
% 2.88/0.72 % (13446)Memory used [KB]: 2430
% 2.88/0.72 % (13446)Time elapsed: 0.130 s
% 2.88/0.72 % (13446)Instructions burned: 433 (million)
% 2.88/0.72 % (13446)------------------------------
% 2.88/0.72 % (13446)------------------------------
% 2.88/0.72 % (13463)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2996ds/339Mi)
% 2.88/0.72 % (13464)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2996ds/283Mi)
% 2.88/0.72 % (13465)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2996ds/134Mi)
% 2.88/0.72 % (13466)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2996ds/298Mi)
% 2.88/0.72 % (13467)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2996ds/192Mi)
% 2.88/0.73 % (13467)Refutation not found, incomplete strategy
% 2.88/0.73 % (13467)------------------------------
% 2.88/0.73 % (13467)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.88/0.73 % (13467)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.73
% 2.88/0.73
% 2.88/0.73 % (13467)Memory used [KB]: 5756
% 2.88/0.73 % (13467)Time elapsed: 0.011 s
% 2.88/0.73 % (13467)Instructions burned: 32 (million)
% 2.88/0.73 % (13467)------------------------------
% 2.88/0.73 % (13467)------------------------------
% 2.88/0.74 % (13468)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2996ds/258Mi)
% 2.88/0.76 % (13450)Instruction limit reached!
% 2.88/0.76 % (13450)------------------------------
% 2.88/0.76 % (13450)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.88/0.76 % (13450)Termination reason: Unknown
% 2.88/0.76 % (13450)Termination phase: Saturation
% 2.88/0.76
% 2.88/0.76 % (13450)Memory used [KB]: 6652
% 2.88/0.76 % (13450)Time elapsed: 0.140 s
% 2.88/0.76 % (13450)Instructions burned: 453 (million)
% 2.88/0.76 % (13450)------------------------------
% 2.88/0.76 % (13450)------------------------------
% 2.88/0.76 % (13468)Refutation not found, incomplete strategy
% 2.88/0.76 % (13468)------------------------------
% 2.88/0.76 % (13468)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.88/0.76 % (13468)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.76
% 2.88/0.76
% 2.88/0.76 % (13468)Memory used [KB]: 5756
% 2.88/0.76 % (13468)Time elapsed: 0.019 s
% 2.88/0.76 % (13468)Instructions burned: 55 (million)
% 2.88/0.76 % (13468)------------------------------
% 2.88/0.76 % (13468)------------------------------
% 2.88/0.76 % (13469)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 2.88/0.77 % (13465)Instruction limit reached!
% 2.88/0.77 % (13465)------------------------------
% 2.88/0.77 % (13465)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.88/0.77 % (13465)Termination reason: Unknown
% 2.88/0.77 % (13465)Termination phase: Saturation
% 2.88/0.77
% 2.88/0.77 % (13465)Memory used [KB]: 6012
% 2.88/0.77 % (13465)Time elapsed: 0.044 s
% 2.88/0.77 % (13465)Instructions burned: 135 (million)
% 2.88/0.77 % (13465)------------------------------
% 2.88/0.77 % (13465)------------------------------
% 2.88/0.77 % (13470)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2995ds/231Mi)
% 3.29/0.77 % (13471)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2995ds/458Mi)
% 3.29/0.78 % (13457)Instruction limit reached!
% 3.29/0.78 % (13457)------------------------------
% 3.29/0.78 % (13457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.29/0.78 % (13457)Termination reason: Unknown
% 3.29/0.78 % (13457)Termination phase: Saturation
% 3.29/0.78
% 3.29/0.78 % (13457)Memory used [KB]: 6652
% 3.29/0.78 % (13457)Time elapsed: 0.106 s
% 3.29/0.78 % (13457)Instructions burned: 346 (million)
% 3.29/0.78 % (13457)------------------------------
% 3.29/0.78 % (13457)------------------------------
% 3.29/0.79 % (13469)Instruction limit reached!
% 3.29/0.79 % (13469)------------------------------
% 3.29/0.79 % (13469)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.29/0.79 % (13469)Termination reason: Unknown
% 3.29/0.79 % (13469)Termination phase: Saturation
% 3.29/0.79
% 3.29/0.79 % (13469)Memory used [KB]: 6012
% 3.29/0.79 % (13469)Time elapsed: 0.030 s
% 3.29/0.79 % (13469)Instructions burned: 90 (million)
% 3.29/0.79 % (13469)------------------------------
% 3.29/0.79 % (13469)------------------------------
% 3.29/0.79 % (13472)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 theBenchmark for (2995ds/31Mi)
% 3.29/0.80 % (13472)Instruction limit reached!
% 3.29/0.80 % (13472)------------------------------
% 3.29/0.80 % (13472)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.29/0.80 % (13472)Termination reason: Unknown
% 3.29/0.80 % (13472)Termination phase: Saturation
% 3.29/0.80
% 3.29/0.80 % (13472)Memory used [KB]: 5628
% 3.29/0.80 % (13472)Time elapsed: 0.009 s
% 3.29/0.80 % (13472)Instructions burned: 31 (million)
% 3.29/0.80 % (13472)------------------------------
% 3.29/0.80 % (13472)------------------------------
% 3.29/0.80 % (13478)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2995ds/297Mi)
% 3.29/0.80 % (13464)Instruction limit reached!
% 3.29/0.80 % (13464)------------------------------
% 3.29/0.80 % (13464)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.29/0.80 % (13464)Termination reason: Unknown
% 3.29/0.80 % (13464)Termination phase: Saturation
% 3.29/0.80
% 3.29/0.80 % (13464)Memory used [KB]: 6524
% 3.29/0.80 % (13464)Time elapsed: 0.086 s
% 3.29/0.80 % (13464)Instructions burned: 284 (million)
% 3.29/0.80 % (13464)------------------------------
% 3.29/0.80 % (13464)------------------------------
% 3.29/0.81 % (13480)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2995ds/987Mi)
% 3.29/0.81 % (13481)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2995ds/182Mi)
% 3.29/0.82 % (13463)Instruction limit reached!
% 3.29/0.82 % (13463)------------------------------
% 3.29/0.82 % (13463)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.29/0.82 % (13463)Termination reason: Unknown
% 3.29/0.82 % (13463)Termination phase: Saturation
% 3.29/0.82
% 3.29/0.82 % (13463)Memory used [KB]: 6396
% 3.29/0.82 % (13463)Time elapsed: 0.100 s
% 3.29/0.82 % (13463)Instructions burned: 342 (million)
% 3.29/0.82 % (13463)------------------------------
% 3.29/0.82 % (13463)------------------------------
% 3.29/0.82 % (13466)Instruction limit reached!
% 3.29/0.82 % (13466)------------------------------
% 3.29/0.82 % (13466)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.29/0.82 % (13466)Termination reason: Unknown
% 3.29/0.82 % (13466)Termination phase: Saturation
% 3.29/0.82
% 3.29/0.82 % (13466)Memory used [KB]: 6140
% 3.29/0.82 % (13466)Time elapsed: 0.094 s
% 3.29/0.82 % (13466)Instructions burned: 298 (million)
% 3.29/0.82 % (13466)------------------------------
% 3.29/0.82 % (13466)------------------------------
% 3.29/0.83 % (13485)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2995ds/182Mi)
% 3.29/0.83 % (13486)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2995ds/154Mi)
% 3.29/0.83 % (13470)Instruction limit reached!
% 3.29/0.83 % (13470)------------------------------
% 3.29/0.83 % (13470)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.29/0.83 % (13470)Termination reason: Unknown
% 3.29/0.83 % (13470)Termination phase: Saturation
% 3.29/0.83
% 3.29/0.83 % (13470)Memory used [KB]: 6012
% 3.29/0.83 % (13470)Time elapsed: 0.063 s
% 3.29/0.83 % (13470)Instructions burned: 231 (million)
% 3.29/0.83 % (13470)------------------------------
% 3.29/0.83 % (13470)------------------------------
% 3.29/0.84 % (13493)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2995ds/79Mi)
% 3.29/0.86 % (13493)Instruction limit reached!
% 3.29/0.86 % (13493)------------------------------
% 3.29/0.86 % (13493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.29/0.86 % (13493)Termination reason: Unknown
% 3.29/0.86 % (13493)Termination phase: Saturation
% 3.29/0.86
% 3.29/0.86 % (13493)Memory used [KB]: 5884
% 3.29/0.86 % (13493)Time elapsed: 0.045 s
% 3.29/0.86 % (13493)Instructions burned: 79 (million)
% 3.29/0.86 % (13493)------------------------------
% 3.29/0.86 % (13493)------------------------------
% 3.87/0.87 % (13481)Instruction limit reached!
% 3.87/0.87 % (13481)------------------------------
% 3.87/0.87 % (13481)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.87/0.87 % (13481)Termination reason: Unknown
% 3.87/0.87 % (13481)Termination phase: Saturation
% 3.87/0.87
% 3.87/0.87 % (13481)Memory used [KB]: 6012
% 3.87/0.87 % (13481)Time elapsed: 0.056 s
% 3.87/0.87 % (13481)Instructions burned: 185 (million)
% 3.87/0.87 % (13481)------------------------------
% 3.87/0.87 % (13481)------------------------------
% 3.87/0.87 % (13513)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2994ds/216Mi)
% 3.87/0.87 % (13486)Instruction limit reached!
% 3.87/0.87 % (13486)------------------------------
% 3.87/0.87 % (13486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.87/0.87 % (13486)Termination reason: Unknown
% 3.87/0.87 % (13486)Termination phase: Saturation
% 3.87/0.87
% 3.87/0.87 % (13486)Memory used [KB]: 6268
% 3.87/0.87 % (13486)Time elapsed: 0.069 s
% 3.87/0.87 % (13486)Instructions burned: 154 (million)
% 3.87/0.87 % (13486)------------------------------
% 3.87/0.87 % (13486)------------------------------
% 3.87/0.88 % (13517)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2994ds/114Mi)
% 3.87/0.88 % (13521)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2994ds/922Mi)
% 3.87/0.88 % (13478)Instruction limit reached!
% 3.87/0.88 % (13478)------------------------------
% 3.87/0.88 % (13478)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.87/0.88 % (13478)Termination reason: Unknown
% 3.87/0.88 % (13478)Termination phase: Saturation
% 3.87/0.88
% 3.87/0.88 % (13478)Memory used [KB]: 5884
% 3.87/0.88 % (13478)Time elapsed: 0.081 s
% 3.87/0.88 % (13478)Instructions burned: 297 (million)
% 3.87/0.88 % (13478)------------------------------
% 3.87/0.88 % (13478)------------------------------
% 3.87/0.88 % (13461)Instruction limit reached!
% 3.87/0.88 % (13461)------------------------------
% 3.87/0.88 % (13461)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.87/0.88 % (13461)Termination reason: Unknown
% 3.87/0.88 % (13461)Termination phase: Saturation
% 3.87/0.88
% 3.87/0.88 % (13461)Memory used [KB]: 6652
% 3.87/0.88 % (13461)Time elapsed: 0.187 s
% 3.87/0.88 % (13461)Instructions burned: 615 (million)
% 3.87/0.88 % (13461)------------------------------
% 3.87/0.88 % (13461)------------------------------
% 3.87/0.88 % (13485)Instruction limit reached!
% 3.87/0.88 % (13485)------------------------------
% 3.87/0.88 % (13485)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.87/0.88 % (13485)Termination reason: Unknown
% 3.87/0.88 % (13485)Termination phase: Saturation
% 3.87/0.88
% 3.87/0.88 % (13485)Memory used [KB]: 6140
% 3.87/0.88 % (13485)Time elapsed: 0.081 s
% 3.87/0.88 % (13485)Instructions burned: 182 (million)
% 3.87/0.88 % (13485)------------------------------
% 3.87/0.88 % (13485)------------------------------
% 4.34/0.89 % (13526)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi)
% 4.34/0.89 % (13527)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2994ds/164Mi)
% 4.34/0.89 % (13528)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2994ds/50Mi)
% 4.34/0.90 % (13527)Refutation not found, incomplete strategy
% 4.34/0.90 % (13527)------------------------------
% 4.34/0.90 % (13527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.34/0.90 % (13527)Termination reason: Refutation not found, incomplete strategy
% 4.34/0.90
% 4.34/0.90
% 4.34/0.90 % (13527)Memory used [KB]: 1151
% 4.34/0.90 % (13527)Time elapsed: 0.007 s
% 4.34/0.90 % (13527)Instructions burned: 23 (million)
% 4.34/0.90 % (13527)------------------------------
% 4.34/0.90 % (13527)------------------------------
% 4.34/0.90 % (13471)Instruction limit reached!
% 4.34/0.90 % (13471)------------------------------
% 4.34/0.90 % (13471)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.34/0.90 % (13471)Termination reason: Unknown
% 4.34/0.90 % (13471)Termination phase: Saturation
% 4.34/0.90
% 4.34/0.90 % (13471)Memory used [KB]: 6652
% 4.34/0.90 % (13471)Time elapsed: 0.129 s
% 4.34/0.90 % (13471)Instructions burned: 458 (million)
% 4.34/0.90 % (13471)------------------------------
% 4.34/0.90 % (13471)------------------------------
% 4.34/0.90 % (13532)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2994ds/368Mi)
% 4.34/0.91 % (13528)Instruction limit reached!
% 4.34/0.91 % (13528)------------------------------
% 4.34/0.91 % (13528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.34/0.91 % (13528)Termination reason: Unknown
% 4.34/0.91 % (13528)Termination phase: Saturation
% 4.34/0.91
% 4.34/0.91 % (13528)Memory used [KB]: 10362
% 4.34/0.91 % (13528)Time elapsed: 0.016 s
% 4.34/0.91 % (13528)Instructions burned: 51 (million)
% 4.34/0.91 % (13528)------------------------------
% 4.34/0.91 % (13528)------------------------------
% 4.34/0.91 % (13517)Instruction limit reached!
% 4.34/0.91 % (13517)------------------------------
% 4.34/0.91 % (13517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.34/0.91 % (13517)Termination reason: Unknown
% 4.34/0.91 % (13517)Termination phase: Saturation
% 4.34/0.91
% 4.34/0.91 % (13517)Memory used [KB]: 6012
% 4.34/0.91 % (13517)Time elapsed: 0.057 s
% 4.34/0.91 % (13517)Instructions burned: 117 (million)
% 4.34/0.91 % (13517)------------------------------
% 4.34/0.91 % (13517)------------------------------
% 4.34/0.91 % (13537)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2994ds/1021Mi)
% 4.34/0.91 % (13540)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2994ds/267Mi)
% 4.34/0.92 % (13542)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2994ds/204Mi)
% 4.55/0.93 % (13513)Instruction limit reached!
% 4.55/0.93 % (13513)------------------------------
% 4.55/0.93 % (13513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.55/0.93 % (13513)Termination reason: Unknown
% 4.55/0.93 % (13513)Termination phase: Saturation
% 4.55/0.93
% 4.55/0.93 % (13513)Memory used [KB]: 6140
% 4.55/0.93 % (13513)Time elapsed: 0.082 s
% 4.55/0.93 % (13513)Instructions burned: 216 (million)
% 4.55/0.93 % (13513)------------------------------
% 4.55/0.93 % (13513)------------------------------
% 4.55/0.94 % (13543)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2993ds/26Mi)
% 4.55/0.94 % (13526)Instruction limit reached!
% 4.55/0.94 % (13526)------------------------------
% 4.55/0.94 % (13526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.55/0.94 % (13526)Termination reason: Unknown
% 4.55/0.94 % (13526)Termination phase: Saturation
% 4.55/0.94
% 4.55/0.94 % (13526)Memory used [KB]: 5884
% 4.55/0.94 % (13526)Time elapsed: 0.056 s
% 4.55/0.94 % (13526)Instructions burned: 185 (million)
% 4.55/0.94 % (13526)------------------------------
% 4.55/0.94 % (13526)------------------------------
% 4.55/0.95 % (13543)Instruction limit reached!
% 4.55/0.95 % (13543)------------------------------
% 4.55/0.95 % (13543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.55/0.95 % (13543)Termination reason: Unknown
% 4.55/0.95 % (13543)Termination phase: Saturation
% 4.55/0.95
% 4.55/0.95 % (13543)Memory used [KB]: 5756
% 4.55/0.95 % (13543)Time elapsed: 0.010 s
% 4.55/0.95 % (13543)Instructions burned: 26 (million)
% 4.55/0.95 % (13543)------------------------------
% 4.55/0.95 % (13543)------------------------------
% 4.55/0.95 % (13544)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2993ds/53Mi)
% 4.55/0.95 % (13545)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2993ds/4436Mi)
% 4.55/0.96 % (13545)Refutation not found, incomplete strategy
% 4.55/0.96 % (13545)------------------------------
% 4.55/0.96 % (13545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.55/0.96 % (13545)Termination reason: Refutation not found, incomplete strategy
% 4.55/0.96
% 4.55/0.96
% 4.55/0.96 % (13545)Memory used [KB]: 5756
% 4.55/0.96 % (13545)Time elapsed: 0.010 s
% 4.55/0.96 % (13545)Instructions burned: 33 (million)
% 4.55/0.96 % (13545)------------------------------
% 4.55/0.96 % (13545)------------------------------
% 4.55/0.97 % (13544)Instruction limit reached!
% 4.55/0.97 % (13544)------------------------------
% 4.55/0.97 % (13544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.55/0.97 % (13544)Termination reason: Unknown
% 4.55/0.97 % (13544)Termination phase: Saturation
% 4.55/0.97
% 4.55/0.97 % (13544)Memory used [KB]: 5884
% 4.55/0.97 % (13544)Time elapsed: 0.016 s
% 4.55/0.97 % (13544)Instructions burned: 56 (million)
% 4.55/0.97 % (13544)------------------------------
% 4.55/0.97 % (13544)------------------------------
% 4.55/0.97 % (13546)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2993ds/1539Mi)
% 4.55/0.97 % (13547)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2993ds/408Mi)
% 4.55/0.98 % (13542)Instruction limit reached!
% 4.55/0.98 % (13542)------------------------------
% 4.55/0.98 % (13542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.55/0.98 % (13542)Termination reason: Unknown
% 4.55/0.98 % (13542)Termination phase: Saturation
% 4.55/0.98
% 4.55/0.98 % (13542)Memory used [KB]: 6396
% 4.55/0.98 % (13542)Time elapsed: 0.062 s
% 4.55/0.98 % (13542)Instructions burned: 205 (million)
% 4.55/0.98 % (13542)------------------------------
% 4.55/0.98 % (13542)------------------------------
% 4.55/0.98 % (13548)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2993ds/5205Mi)
% 4.55/0.99 % (13540)Instruction limit reached!
% 4.55/0.99 % (13540)------------------------------
% 4.55/0.99 % (13540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.55/0.99 % (13540)Termination reason: Unknown
% 4.55/0.99 % (13540)Termination phase: Saturation
% 4.55/0.99
% 4.55/0.99 % (13540)Memory used [KB]: 6524
% 4.55/0.99 % (13540)Time elapsed: 0.076 s
% 4.55/0.99 % (13540)Instructions burned: 269 (million)
% 4.55/0.99 % (13540)------------------------------
% 4.55/0.99 % (13540)------------------------------
% 4.55/1.00 % (13549)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2993ds/1913Mi)
% 4.89/1.01 % (13532)Instruction limit reached!
% 4.89/1.01 % (13532)------------------------------
% 4.89/1.01 % (13532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.89/1.01 % (13532)Termination reason: Unknown
% 4.89/1.01 % (13532)Termination phase: Saturation
% 4.89/1.01
% 4.89/1.01 % (13532)Memory used [KB]: 6396
% 4.89/1.01 % (13532)Time elapsed: 0.111 s
% 4.89/1.01 % (13532)Instructions burned: 369 (million)
% 4.89/1.01 % (13532)------------------------------
% 4.89/1.01 % (13532)------------------------------
% 4.89/1.02 % (13550)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2993ds/4350Mi)
% 4.89/1.03 % (13550)Refutation not found, incomplete strategy
% 4.89/1.03 % (13550)------------------------------
% 4.89/1.03 % (13550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.89/1.03 % (13550)Termination reason: Refutation not found, incomplete strategy
% 4.89/1.03
% 4.89/1.03
% 4.89/1.03 % (13550)Memory used [KB]: 5756
% 4.89/1.03 % (13550)Time elapsed: 0.012 s
% 4.89/1.03 % (13550)Instructions burned: 36 (million)
% 4.89/1.03 % (13550)------------------------------
% 4.89/1.03 % (13550)------------------------------
% 4.89/1.04 % (13551)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2992ds/68Mi)
% 4.89/1.06 % (13551)Instruction limit reached!
% 4.89/1.06 % (13551)------------------------------
% 4.89/1.06 % (13551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.89/1.06 % (13551)Termination reason: Unknown
% 4.89/1.06 % (13551)Termination phase: Saturation
% 4.89/1.06
% 4.89/1.06 % (13551)Memory used [KB]: 6012
% 4.89/1.06 % (13551)Time elapsed: 0.021 s
% 4.89/1.06 % (13551)Instructions burned: 69 (million)
% 4.89/1.06 % (13551)------------------------------
% 4.89/1.06 % (13551)------------------------------
% 4.89/1.07 % (13552)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2992ds/358Mi)
% 5.04/1.08 % (13480)Instruction limit reached!
% 5.04/1.08 % (13480)------------------------------
% 5.04/1.08 % (13480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.04/1.08 % (13480)Termination reason: Unknown
% 5.04/1.08 % (13480)Termination phase: Saturation
% 5.04/1.08
% 5.04/1.08 % (13480)Memory used [KB]: 7291
% 5.04/1.08 % (13480)Time elapsed: 0.274 s
% 5.04/1.08 % (13480)Instructions burned: 988 (million)
% 5.04/1.08 % (13480)------------------------------
% 5.04/1.08 % (13480)------------------------------
% 5.04/1.09 % (13553)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 theBenchmark for (2992ds/31Mi)
% 5.04/1.10 % (13547)Instruction limit reached!
% 5.04/1.10 % (13547)------------------------------
% 5.04/1.10 % (13547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.04/1.10 % (13547)Termination reason: Unknown
% 5.04/1.10 % (13547)Termination phase: Saturation
% 5.04/1.10
% 5.04/1.10 % (13547)Memory used [KB]: 6780
% 5.04/1.10 % (13547)Time elapsed: 0.124 s
% 5.04/1.10 % (13547)Instructions burned: 409 (million)
% 5.04/1.10 % (13547)------------------------------
% 5.04/1.10 % (13547)------------------------------
% 5.04/1.10 % (13553)Instruction limit reached!
% 5.04/1.10 % (13553)------------------------------
% 5.04/1.10 % (13553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.04/1.10 % (13553)Termination reason: Unknown
% 5.04/1.10 % (13553)Termination phase: Saturation
% 5.04/1.10
% 5.04/1.10 % (13553)Memory used [KB]: 5628
% 5.04/1.10 % (13553)Time elapsed: 0.009 s
% 5.04/1.10 % (13553)Instructions burned: 33 (million)
% 5.04/1.10 % (13553)------------------------------
% 5.04/1.10 % (13553)------------------------------
% 5.04/1.10 % (13554)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2992ds/279Mi)
% 5.04/1.11 % (13555)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2992ds/258Mi)
% 5.04/1.11 % (13554)Refutation not found, incomplete strategy
% 5.04/1.11 % (13554)------------------------------
% 5.04/1.11 % (13554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.04/1.11 % (13554)Termination reason: Refutation not found, incomplete strategy
% 5.04/1.11
% 5.04/1.11
% 5.04/1.11 % (13554)Memory used [KB]: 5756
% 5.04/1.11 % (13554)Time elapsed: 0.009 s
% 5.04/1.11 % (13554)Instructions burned: 29 (million)
% 5.04/1.11 % (13554)------------------------------
% 5.04/1.11 % (13554)------------------------------
% 5.04/1.12 % (13556)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2992ds/26Mi)
% 5.04/1.13 % (13556)Instruction limit reached!
% 5.04/1.13 % (13556)------------------------------
% 5.04/1.13 % (13556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.04/1.13 % (13556)Termination reason: Unknown
% 5.04/1.13 % (13556)Termination phase: Saturation
% 5.04/1.13
% 5.04/1.13 % (13556)Memory used [KB]: 5756
% 5.04/1.13 % (13556)Time elapsed: 0.010 s
% 5.04/1.13 % (13556)Instructions burned: 26 (million)
% 5.04/1.13 % (13556)------------------------------
% 5.04/1.13 % (13556)------------------------------
% 5.04/1.14 % (13521)Instruction limit reached!
% 5.04/1.14 % (13521)------------------------------
% 5.04/1.14 % (13521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.04/1.14 % (13521)Termination reason: Unknown
% 5.04/1.14 % (13521)Termination phase: Saturation
% 5.04/1.14
% 5.04/1.14 % (13521)Memory used [KB]: 6780
% 5.04/1.14 % (13521)Time elapsed: 0.257 s
% 5.04/1.14 % (13521)Instructions burned: 923 (million)
% 5.04/1.14 % (13521)------------------------------
% 5.04/1.14 % (13521)------------------------------
% 5.04/1.14 % (13557)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2992ds/995Mi)
% 5.04/1.14 % (13558)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2991ds/373Mi)
% 6.83/1.18 % (13552)Instruction limit reached!
% 6.83/1.18 % (13552)------------------------------
% 6.83/1.18 % (13552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.83/1.18 % (13552)Termination reason: Unknown
% 6.83/1.18 % (13552)Termination phase: Saturation
% 6.83/1.18
% 6.83/1.18 % (13552)Memory used [KB]: 6268
% 6.83/1.18 % (13552)Time elapsed: 0.110 s
% 6.83/1.18 % (13552)Instructions burned: 360 (million)
% 6.83/1.18 % (13552)------------------------------
% 6.83/1.18 % (13552)------------------------------
% 6.83/1.19 % (13555)Refutation not found, non-redundant clauses discarded% (13555)------------------------------
% 6.83/1.19 % (13555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.83/1.19 % (13555)Termination reason: Refutation not found, non-redundant clauses discarded
% 6.83/1.19
% 6.83/1.19 % (13555)Memory used [KB]: 6524
% 6.83/1.19 % (13555)Time elapsed: 0.079 s
% 6.83/1.19 % (13555)Instructions burned: 231 (million)
% 6.83/1.19 % (13555)------------------------------
% 6.83/1.19 % (13555)------------------------------
% 6.83/1.19 % (13559)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2991ds/253Mi)
% 6.83/1.20 % (13560)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2991ds/832Mi)
% 6.83/1.20 % (13560)Refutation not found, incomplete strategy
% 6.83/1.20 % (13560)------------------------------
% 6.83/1.20 % (13560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.83/1.20 % (13560)Termination reason: Refutation not found, incomplete strategy
% 6.83/1.20
% 6.83/1.20
% 6.83/1.20 % (13560)Memory used [KB]: 5628
% 6.83/1.20 % (13560)Time elapsed: 0.004 s
% 6.83/1.20 % (13560)Instructions burned: 10 (million)
% 6.83/1.20 % (13560)------------------------------
% 6.83/1.20 % (13560)------------------------------
% 7.04/1.21 % (13561)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2991ds/668Mi)
% 7.04/1.21 % (13537)Instruction limit reached!
% 7.04/1.21 % (13537)------------------------------
% 7.04/1.21 % (13537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.04/1.21 % (13537)Termination reason: Unknown
% 7.04/1.21 % (13537)Termination phase: Saturation
% 7.04/1.21
% 7.04/1.21 % (13537)Memory used [KB]: 7036
% 7.04/1.21 % (13537)Time elapsed: 0.304 s
% 7.04/1.21 % (13537)Instructions burned: 1022 (million)
% 7.04/1.21 % (13537)------------------------------
% 7.04/1.21 % (13537)------------------------------
% 7.04/1.22 % (13562)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on theBenchmark for (2991ds/40Mi)
% 7.22/1.23 % (13562)Instruction limit reached!
% 7.22/1.23 % (13562)------------------------------
% 7.22/1.23 % (13562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.22/1.23 % (13562)Termination reason: Unknown
% 7.22/1.23 % (13562)Termination phase: Saturation
% 7.22/1.23
% 7.22/1.23 % (13562)Memory used [KB]: 5884
% 7.22/1.23 % (13562)Time elapsed: 0.013 s
% 7.22/1.23 % (13562)Instructions burned: 40 (million)
% 7.22/1.23 % (13562)------------------------------
% 7.22/1.23 % (13562)------------------------------
% 7.22/1.24 % (13563)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2991ds/294Mi)
% 7.22/1.25 % (13559)Instruction limit reached!
% 7.22/1.25 % (13559)------------------------------
% 7.22/1.25 % (13559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.22/1.25 % (13559)Termination reason: Unknown
% 7.22/1.25 % (13559)Termination phase: Saturation
% 7.22/1.25
% 7.22/1.25 % (13559)Memory used [KB]: 6012
% 7.22/1.25 % (13559)Time elapsed: 0.066 s
% 7.22/1.25 % (13559)Instructions burned: 254 (million)
% 7.22/1.25 % (13559)------------------------------
% 7.22/1.25 % (13559)------------------------------
% 7.22/1.26 % (13558)Instruction limit reached!
% 7.22/1.26 % (13558)------------------------------
% 7.22/1.26 % (13558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.22/1.26 % (13558)Termination reason: Unknown
% 7.22/1.26 % (13558)Termination phase: Saturation
% 7.22/1.26
% 7.22/1.26 % (13558)Memory used [KB]: 6140
% 7.22/1.26 % (13558)Time elapsed: 0.114 s
% 7.22/1.26 % (13558)Instructions burned: 374 (million)
% 7.22/1.26 % (13558)------------------------------
% 7.22/1.26 % (13558)------------------------------
% 7.22/1.26 % (13564)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2990ds/187Mi)
% 7.22/1.27 % (13565)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2990ds/371Mi)
% 7.22/1.31 % (13564)Instruction limit reached!
% 7.22/1.31 % (13564)------------------------------
% 7.22/1.31 % (13564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.22/1.32 % (13564)Termination reason: Unknown
% 7.22/1.32 % (13564)Termination phase: Saturation
% 7.22/1.32
% 7.22/1.32 % (13564)Memory used [KB]: 6140
% 7.22/1.32 % (13564)Time elapsed: 0.056 s
% 7.22/1.32 % (13564)Instructions burned: 190 (million)
% 7.22/1.32 % (13564)------------------------------
% 7.22/1.32 % (13564)------------------------------
% 7.22/1.32 % (13566)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2990ds/1827Mi)
% 7.22/1.32 % (13563)Instruction limit reached!
% 7.22/1.32 % (13563)------------------------------
% 7.22/1.32 % (13563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.22/1.32 % (13563)Termination reason: Unknown
% 7.22/1.32 % (13563)Termination phase: Saturation
% 7.22/1.32
% 7.22/1.32 % (13563)Memory used [KB]: 6140
% 7.22/1.32 % (13563)Time elapsed: 0.084 s
% 7.22/1.32 % (13563)Instructions burned: 295 (million)
% 7.22/1.32 % (13563)------------------------------
% 7.22/1.32 % (13563)------------------------------
% 7.86/1.33 % (13567)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2990ds/70Mi)
% 7.86/1.35 % (13567)Instruction limit reached!
% 7.86/1.35 % (13567)------------------------------
% 7.86/1.35 % (13567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.86/1.35 % (13567)Termination reason: Unknown
% 7.86/1.35 % (13567)Termination phase: Saturation
% 7.86/1.35
% 7.86/1.35 % (13567)Memory used [KB]: 1535
% 7.86/1.35 % (13567)Time elapsed: 0.022 s
% 7.86/1.35 % (13567)Instructions burned: 74 (million)
% 7.86/1.35 % (13567)------------------------------
% 7.86/1.35 % (13567)------------------------------
% 7.86/1.36 % (13568)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on theBenchmark for (2989ds/316Mi)
% 7.86/1.37 % (13568)Refutation not found, incomplete strategy
% 7.86/1.37 % (13568)------------------------------
% 7.86/1.37 % (13568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.86/1.37 % (13568)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.37
% 7.86/1.37
% 7.86/1.37 % (13568)Memory used [KB]: 5756
% 7.86/1.37 % (13568)Time elapsed: 0.012 s
% 7.86/1.37 % (13568)Instructions burned: 37 (million)
% 7.86/1.37 % (13568)------------------------------
% 7.86/1.37 % (13568)------------------------------
% 7.86/1.38 % (13565)Instruction limit reached!
% 7.86/1.38 % (13565)------------------------------
% 7.86/1.38 % (13565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.86/1.38 % (13565)Termination reason: Unknown
% 7.86/1.38 % (13565)Termination phase: Saturation
% 7.86/1.38
% 7.86/1.38 % (13565)Memory used [KB]: 6780
% 7.86/1.38 % (13565)Time elapsed: 0.112 s
% 7.86/1.38 % (13565)Instructions burned: 371 (million)
% 7.86/1.38 % (13565)------------------------------
% 7.86/1.38 % (13565)------------------------------
% 7.86/1.38 % (13569)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2989ds/932Mi)
% 7.86/1.38 % (13570)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2989ds/4714Mi)
% 8.29/1.39 % (13570)Refutation not found, incomplete strategy
% 8.29/1.39 % (13570)------------------------------
% 8.29/1.39 % (13570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.39 % (13570)Termination reason: Refutation not found, incomplete strategy
% 8.29/1.39
% 8.29/1.39
% 8.29/1.39 % (13570)Memory used [KB]: 5756
% 8.29/1.39 % (13570)Time elapsed: 0.031 s
% 8.29/1.39 % (13570)Instructions burned: 27 (million)
% 8.29/1.39 % (13570)------------------------------
% 8.29/1.39 % (13570)------------------------------
% 8.29/1.40 % (13571)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2989ds/8250Mi)
% 8.29/1.40 % (13561)Instruction limit reached!
% 8.29/1.40 % (13561)------------------------------
% 8.29/1.40 % (13561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.40 % (13561)Termination reason: Unknown
% 8.29/1.40 % (13561)Termination phase: Saturation
% 8.29/1.40
% 8.29/1.40 % (13561)Memory used [KB]: 11385
% 8.29/1.40 % (13561)Time elapsed: 0.195 s
% 8.29/1.40 % (13561)Instructions burned: 668 (million)
% 8.29/1.40 % (13561)------------------------------
% 8.29/1.40 % (13561)------------------------------
% 8.29/1.41 % (13572)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on theBenchmark for (2989ds/770Mi)
% 8.29/1.42 % (13546)Instruction limit reached!
% 8.29/1.42 % (13546)------------------------------
% 8.29/1.42 % (13546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.42 % (13546)Termination reason: Unknown
% 8.29/1.42 % (13546)Termination phase: Saturation
% 8.29/1.42
% 8.29/1.42 % (13546)Memory used [KB]: 7803
% 8.29/1.42 % (13546)Time elapsed: 0.446 s
% 8.29/1.42 % (13546)Instructions burned: 1540 (million)
% 8.29/1.42 % (13546)------------------------------
% 8.29/1.42 % (13546)------------------------------
% 8.29/1.42 % (13572)Refutation not found, incomplete strategy
% 8.29/1.42 % (13572)------------------------------
% 8.29/1.42 % (13572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.42 % (13572)Termination reason: Refutation not found, incomplete strategy
% 8.29/1.42
% 8.29/1.42
% 8.29/1.42 % (13572)Memory used [KB]: 5628
% 8.29/1.42 % (13572)Time elapsed: 0.009 s
% 8.29/1.42 % (13572)Instructions burned: 27 (million)
% 8.29/1.42 % (13572)------------------------------
% 8.29/1.42 % (13572)------------------------------
% 8.29/1.42 % (13557)Instruction limit reached!
% 8.29/1.42 % (13557)------------------------------
% 8.29/1.42 % (13557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.29/1.42 % (13557)Termination reason: Unknown
% 8.29/1.42 % (13557)Termination phase: Saturation
% 8.29/1.42
% 8.29/1.42 % (13557)Memory used [KB]: 7036
% 8.29/1.42 % (13557)Time elapsed: 0.285 s
% 8.29/1.42 % (13557)Instructions burned: 995 (million)
% 8.29/1.42 % (13557)------------------------------
% 8.29/1.42 % (13557)------------------------------
% 8.29/1.42 % (13573)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2989ds/794Mi)
% 8.29/1.42 % (13574)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2989ds/464Mi)
% 8.29/1.43 % (13575)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on theBenchmark for (2989ds/1376Mi)
% 8.74/1.50 % (13549)Instruction limit reached!
% 8.74/1.50 % (13549)------------------------------
% 8.74/1.50 % (13549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.74/1.50 % (13549)Termination reason: Unknown
% 8.74/1.50 % (13549)Termination phase: Saturation
% 8.74/1.50
% 8.74/1.50 % (13549)Memory used [KB]: 2430
% 8.74/1.50 % (13549)Time elapsed: 0.502 s
% 8.74/1.50 % (13549)Instructions burned: 1914 (million)
% 8.74/1.50 % (13549)------------------------------
% 8.74/1.50 % (13549)------------------------------
% 8.82/1.51 % (13576)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2988ds/906Mi)
% 8.86/1.56 % (13574)Instruction limit reached!
% 8.86/1.56 % (13574)------------------------------
% 8.86/1.56 % (13574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.86/1.56 % (13574)Termination reason: Unknown
% 8.86/1.56 % (13574)Termination phase: Saturation
% 8.86/1.56
% 8.86/1.56 % (13574)Memory used [KB]: 6908
% 8.86/1.56 % (13574)Time elapsed: 0.132 s
% 8.86/1.56 % (13574)Instructions burned: 467 (million)
% 8.86/1.56 % (13574)------------------------------
% 8.86/1.56 % (13574)------------------------------
% 8.86/1.56 % (13577)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2987ds/434Mi)
% 8.86/1.57 % (13577)Refutation not found, incomplete strategy
% 8.86/1.57 % (13577)------------------------------
% 8.86/1.57 % (13577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.86/1.57 % (13577)Termination reason: Refutation not found, incomplete strategy
% 8.86/1.57
% 8.86/1.57
% 8.86/1.57 % (13577)Memory used [KB]: 5628
% 8.86/1.57 % (13577)Time elapsed: 0.009 s
% 8.86/1.57 % (13577)Instructions burned: 25 (million)
% 8.86/1.57 % (13577)------------------------------
% 8.86/1.57 % (13577)------------------------------
% 8.86/1.58 % (13578)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on theBenchmark for (2987ds/865Mi)
% 8.86/1.62 % (13569)Instruction limit reached!
% 8.86/1.62 % (13569)------------------------------
% 8.86/1.62 % (13569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.86/1.62 % (13569)Termination reason: Unknown
% 8.86/1.62 % (13569)Termination phase: Saturation
% 8.86/1.62
% 8.86/1.62 % (13569)Memory used [KB]: 6908
% 8.86/1.62 % (13569)Time elapsed: 0.266 s
% 8.86/1.62 % (13569)Instructions burned: 932 (million)
% 8.86/1.62 % (13569)------------------------------
% 8.86/1.62 % (13569)------------------------------
% 9.36/1.63 % (13579)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on theBenchmark for (2987ds/593Mi)
% 9.36/1.64 % (13573)Instruction limit reached!
% 9.36/1.64 % (13573)------------------------------
% 9.36/1.64 % (13573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.36/1.64 % (13573)Termination reason: Unknown
% 9.36/1.64 % (13573)Termination phase: Saturation
% 9.36/1.64
% 9.36/1.64 % (13573)Memory used [KB]: 1918
% 9.36/1.64 % (13573)Time elapsed: 0.213 s
% 9.36/1.64 % (13573)Instructions burned: 796 (million)
% 9.36/1.64 % (13573)------------------------------
% 9.36/1.64 % (13573)------------------------------
% 9.36/1.64 % (13580)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2986ds/443Mi)
% 9.64/1.77 % (13576)Instruction limit reached!
% 9.64/1.77 % (13576)------------------------------
% 9.64/1.77 % (13576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.64/1.77 % (13576)Termination reason: Unknown
% 9.64/1.77 % (13576)Termination phase: Saturation
% 9.64/1.77
% 9.64/1.77 % (13576)Memory used [KB]: 6780
% 9.64/1.77 % (13576)Time elapsed: 0.265 s
% 9.64/1.77 % (13576)Instructions burned: 906 (million)
% 9.64/1.77 % (13576)------------------------------
% 9.64/1.77 % (13576)------------------------------
% 11.64/1.78 % (13580)Instruction limit reached!
% 11.64/1.78 % (13580)------------------------------
% 11.64/1.78 % (13580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.64/1.78 % (13580)Termination reason: Unknown
% 11.64/1.78 % (13580)Termination phase: Saturation
% 11.64/1.78
% 11.64/1.78 % (13580)Memory used [KB]: 6268
% 11.64/1.78 % (13580)Time elapsed: 0.134 s
% 11.64/1.78 % (13580)Instructions burned: 444 (million)
% 11.64/1.78 % (13580)------------------------------
% 11.64/1.78 % (13580)------------------------------
% 11.64/1.78 % (13581)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2985ds/594Mi)
% 11.64/1.78 % (13582)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on theBenchmark for (2985ds/327Mi)
% 11.64/1.80 % (13579)Instruction limit reached!
% 11.64/1.80 % (13579)------------------------------
% 11.64/1.80 % (13579)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.64/1.80 % (13579)Termination reason: Unknown
% 11.64/1.80 % (13579)Termination phase: Saturation
% 11.64/1.80
% 11.64/1.80 % (13579)Memory used [KB]: 6524
% 11.64/1.80 % (13579)Time elapsed: 0.171 s
% 11.64/1.80 % (13579)Instructions burned: 595 (million)
% 11.64/1.80 % (13579)------------------------------
% 11.64/1.80 % (13579)------------------------------
% 11.64/1.81 % (13575)Instruction limit reached!
% 11.64/1.81 % (13575)------------------------------
% 11.64/1.81 % (13575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.64/1.81 % (13575)Termination reason: Unknown
% 11.64/1.81 % (13575)Termination phase: Saturation
% 11.64/1.81
% 11.64/1.81 % (13575)Memory used [KB]: 8443
% 11.64/1.81 % (13575)Time elapsed: 0.378 s
% 11.64/1.81 % (13575)Instructions burned: 1376 (million)
% 11.64/1.81 % (13575)------------------------------
% 11.64/1.81 % (13575)------------------------------
% 11.64/1.81 % (13583)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2985ds/5411Mi)
% 11.86/1.81 % (13584)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2985ds/1762Mi)
% 11.86/1.81 % (13583)Refutation not found, incomplete strategy
% 11.86/1.81 % (13583)------------------------------
% 11.86/1.81 % (13583)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.86/1.81 % (13583)Termination reason: Refutation not found, incomplete strategy
% 11.86/1.81
% 11.86/1.81
% 11.86/1.81 % (13583)Memory used [KB]: 5628
% 11.86/1.81 % (13583)Time elapsed: 0.006 s
% 11.86/1.81 % (13583)Instructions burned: 18 (million)
% 11.86/1.81 % (13583)------------------------------
% 11.86/1.81 % (13583)------------------------------
% 11.86/1.82 % (13578)Instruction limit reached!
% 11.86/1.82 % (13578)------------------------------
% 11.86/1.82 % (13578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.86/1.82 % (13578)Termination reason: Unknown
% 11.86/1.82 % (13578)Termination phase: Saturation
% 11.86/1.82
% 11.86/1.82 % (13578)Memory used [KB]: 6396
% 11.86/1.82 % (13578)Time elapsed: 0.241 s
% 11.86/1.82 % (13578)Instructions burned: 868 (million)
% 11.86/1.82 % (13578)------------------------------
% 11.86/1.82 % (13578)------------------------------
% 11.86/1.82 % (13585)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2985ds/96Mi)
% 11.86/1.83 % (13586)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2985ds/503Mi)
% 11.94/1.83 % (13586)Refutation not found, incomplete strategy
% 11.94/1.83 % (13586)------------------------------
% 11.94/1.83 % (13586)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.94/1.83 % (13586)Termination reason: Refutation not found, incomplete strategy
% 11.94/1.83
% 11.94/1.83
% 11.94/1.83 % (13586)Memory used [KB]: 5628
% 11.94/1.83 % (13586)Time elapsed: 0.006 s
% 11.94/1.83 % (13586)Instructions burned: 18 (million)
% 11.94/1.83 % (13586)------------------------------
% 11.94/1.83 % (13586)------------------------------
% 11.94/1.84 % (13587)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2984ds/90Mi)
% 11.94/1.85 % (13585)Instruction limit reached!
% 11.94/1.85 % (13585)------------------------------
% 11.94/1.85 % (13585)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.94/1.85 % (13585)Termination reason: Unknown
% 11.94/1.85 % (13585)Termination phase: Saturation
% 11.94/1.85
% 11.94/1.85 % (13585)Memory used [KB]: 6140
% 11.94/1.85 % (13585)Time elapsed: 0.029 s
% 11.94/1.85 % (13585)Instructions burned: 96 (million)
% 11.94/1.85 % (13585)------------------------------
% 11.94/1.85 % (13585)------------------------------
% 11.94/1.86 % (13588)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2984ds/593Mi)
% 11.94/1.87 % (13587)Instruction limit reached!
% 11.94/1.87 % (13587)------------------------------
% 11.94/1.87 % (13587)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.94/1.87 % (13587)Termination reason: Unknown
% 11.94/1.87 % (13587)Termination phase: Saturation
% 11.94/1.87
% 11.94/1.87 % (13587)Memory used [KB]: 6140
% 11.94/1.87 % (13587)Time elapsed: 0.028 s
% 11.94/1.87 % (13587)Instructions burned: 90 (million)
% 11.94/1.87 % (13587)------------------------------
% 11.94/1.87 % (13587)------------------------------
% 11.94/1.87 % (13566)Instruction limit reached!
% 11.94/1.87 % (13566)------------------------------
% 11.94/1.87 % (13566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.94/1.87 % (13566)Termination reason: Unknown
% 11.94/1.87 % (13566)Termination phase: Saturation
% 11.94/1.87
% 11.94/1.87 % (13566)Memory used [KB]: 8955
% 11.94/1.87 % (13566)Time elapsed: 0.568 s
% 11.94/1.87 % (13566)Instructions burned: 1827 (million)
% 11.94/1.87 % (13566)------------------------------
% 11.94/1.87 % (13566)------------------------------
% 11.94/1.88 % (13589)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on theBenchmark for (2984ds/1512Mi)
% 11.94/1.88 % (13582)Instruction limit reached!
% 11.94/1.88 % (13582)------------------------------
% 11.94/1.88 % (13582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.94/1.88 % (13582)Termination reason: Unknown
% 11.94/1.88 % (13582)Termination phase: Saturation
% 11.94/1.88
% 11.94/1.88 % (13582)Memory used [KB]: 7164
% 11.94/1.88 % (13582)Time elapsed: 0.095 s
% 11.94/1.88 % (13582)Instructions burned: 327 (million)
% 11.94/1.88 % (13582)------------------------------
% 11.94/1.88 % (13582)------------------------------
% 11.94/1.88 % (13589)Refutation not found, incomplete strategy
% 11.94/1.88 % (13589)------------------------------
% 11.94/1.88 % (13589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.94/1.88 % (13589)Termination reason: Refutation not found, incomplete strategy
% 11.94/1.88
% 11.94/1.88
% 11.94/1.88 % (13589)Memory used [KB]: 5628
% 11.94/1.88 % (13589)Time elapsed: 0.005 s
% 11.94/1.88 % (13589)Instructions burned: 13 (million)
% 11.94/1.88 % (13589)------------------------------
% 11.94/1.88 % (13589)------------------------------
% 11.94/1.88 % (13590)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2984ds/569Mi)
% 11.94/1.89 % (13591)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2984ds/501Mi)
% 11.94/1.89 % (13592)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2984ds/562Mi)
% 11.94/1.89 % (13591)Refutation not found, incomplete strategy
% 11.94/1.89 % (13591)------------------------------
% 11.94/1.89 % (13591)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.94/1.89 % (13591)Termination reason: Refutation not found, incomplete strategy
% 11.94/1.89
% 11.94/1.89
% 11.94/1.89 % (13591)Memory used [KB]: 5628
% 11.94/1.89 % (13591)Time elapsed: 0.007 s
% 11.94/1.89 % (13591)Instructions burned: 19 (million)
% 11.94/1.89 % (13591)------------------------------
% 11.94/1.89 % (13591)------------------------------
% 11.94/1.90 % (13593)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2984ds/406Mi)
% 12.37/1.95 % (13581)Instruction limit reached!
% 12.37/1.95 % (13581)------------------------------
% 12.37/1.95 % (13581)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.37/1.95 % (13581)Termination reason: Unknown
% 12.37/1.95 % (13581)Termination phase: Saturation
% 12.37/1.95
% 12.37/1.95 % (13581)Memory used [KB]: 6396
% 12.37/1.95 % (13581)Time elapsed: 0.174 s
% 12.37/1.95 % (13581)Instructions burned: 597 (million)
% 12.37/1.95 % (13581)------------------------------
% 12.37/1.95 % (13581)------------------------------
% 12.37/1.96 % (13594)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2983ds/582Mi)
% 12.69/2.03 % (13588)Instruction limit reached!
% 12.69/2.03 % (13588)------------------------------
% 12.69/2.03 % (13588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.69/2.03 % (13588)Termination reason: Unknown
% 12.69/2.03 % (13588)Termination phase: Saturation
% 12.69/2.03
% 12.69/2.03 % (13588)Memory used [KB]: 6140
% 12.69/2.03 % (13588)Time elapsed: 0.173 s
% 12.69/2.03 % (13588)Instructions burned: 593 (million)
% 12.69/2.03 % (13588)------------------------------
% 12.69/2.03 % (13588)------------------------------
% 12.69/2.03 % (13593)Instruction limit reached!
% 12.69/2.03 % (13593)------------------------------
% 12.69/2.03 % (13593)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.69/2.03 % (13593)Termination reason: Unknown
% 12.69/2.03 % (13593)Termination phase: Saturation
% 12.69/2.03
% 12.69/2.03 % (13593)Memory used [KB]: 6908
% 12.69/2.03 % (13593)Time elapsed: 0.133 s
% 12.69/2.03 % (13593)Instructions burned: 407 (million)
% 12.69/2.03 % (13593)------------------------------
% 12.69/2.03 % (13593)------------------------------
% 12.69/2.04 % (13595)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on theBenchmark for (2983ds/456Mi)
% 12.69/2.04 % (13596)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2983ds/393Mi)
% 12.69/2.04 % (13590)Instruction limit reached!
% 12.69/2.04 % (13590)------------------------------
% 12.69/2.04 % (13590)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.69/2.04 % (13590)Termination reason: Unknown
% 12.69/2.04 % (13590)Termination phase: Saturation
% 12.69/2.04
% 12.69/2.04 % (13590)Memory used [KB]: 6652
% 12.69/2.04 % (13590)Time elapsed: 0.160 s
% 12.69/2.04 % (13590)Instructions burned: 569 (million)
% 12.69/2.04 % (13590)------------------------------
% 12.69/2.04 % (13590)------------------------------
% 12.69/2.04 % (13592)Instruction limit reached!
% 12.69/2.04 % (13592)------------------------------
% 12.69/2.04 % (13592)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.69/2.04 % (13592)Termination reason: Unknown
% 12.69/2.04 % (13592)Termination phase: Saturation
% 12.69/2.04
% 12.69/2.04 % (13592)Memory used [KB]: 6652
% 12.69/2.04 % (13592)Time elapsed: 0.153 s
% 12.69/2.04 % (13592)Instructions burned: 565 (million)
% 12.69/2.04 % (13592)------------------------------
% 12.69/2.04 % (13592)------------------------------
% 12.69/2.05 % (13597)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on theBenchmark for (2982ds/1335Mi)
% 12.69/2.05 % (13598)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on theBenchmark for (2982ds/3373Mi)
% 13.52/2.08 % (13595)Refutation not found, incomplete strategy
% 13.52/2.08 % (13595)------------------------------
% 13.52/2.08 % (13595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.52/2.08 % (13595)Termination reason: Refutation not found, incomplete strategy
% 13.52/2.08
% 13.52/2.08
% 13.52/2.08 % (13595)Memory used [KB]: 6012
% 13.52/2.08 % (13595)Time elapsed: 0.044 s
% 13.52/2.08 % (13595)Instructions burned: 142 (million)
% 13.52/2.08 % (13595)------------------------------
% 13.52/2.08 % (13595)------------------------------
% 13.52/2.09 % (13599)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2982ds/474Mi)
% 13.69/2.13 % (13594)Instruction limit reached!
% 13.69/2.13 % (13594)------------------------------
% 13.69/2.13 % (13594)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.69/2.13 % (13594)Termination reason: Unknown
% 13.69/2.13 % (13594)Termination phase: Saturation
% 13.69/2.13
% 13.69/2.13 % (13594)Memory used [KB]: 6524
% 13.69/2.13 % (13594)Time elapsed: 0.179 s
% 13.69/2.13 % (13594)Instructions burned: 582 (million)
% 13.69/2.13 % (13594)------------------------------
% 13.69/2.13 % (13594)------------------------------
% 13.69/2.14 % (13600)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2982ds/157Mi)
% 13.69/2.16 % (13596)Instruction limit reached!
% 13.69/2.16 % (13596)------------------------------
% 13.69/2.16 % (13596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.69/2.16 % (13596)Termination reason: Unknown
% 13.69/2.16 % (13596)Termination phase: Saturation
% 13.69/2.16
% 13.69/2.16 % (13596)Memory used [KB]: 6652
% 13.69/2.16 % (13596)Time elapsed: 0.121 s
% 13.69/2.16 % (13596)Instructions burned: 393 (million)
% 13.69/2.16 % (13596)------------------------------
% 13.69/2.16 % (13596)------------------------------
% 13.69/2.17 % (13601)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2981ds/590Mi)
% 13.69/2.18 % (13600)Instruction limit reached!
% 13.69/2.18 % (13600)------------------------------
% 13.69/2.18 % (13600)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.69/2.18 % (13600)Termination reason: Unknown
% 13.69/2.18 % (13600)Termination phase: Saturation
% 13.69/2.18
% 13.69/2.18 % (13600)Memory used [KB]: 6012
% 13.69/2.18 % (13600)Time elapsed: 0.042 s
% 13.69/2.18 % (13600)Instructions burned: 163 (million)
% 13.69/2.18 % (13600)------------------------------
% 13.69/2.18 % (13600)------------------------------
% 13.69/2.19 % (13602)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2981ds/104Mi)
% 13.69/2.20 % (13599)First to succeed.
% 13.69/2.21 % (13599)Refutation found. Thanks to Tanya!
% 13.69/2.21 % SZS status Theorem for theBenchmark
% 13.69/2.21 % SZS output start Proof for theBenchmark
% 13.69/2.21 thf(type_def_5, type, mu: $tType).
% 13.69/2.21 thf(func_def_0, type, mu: $tType).
% 13.69/2.21 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 13.69/2.21 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_8, type, mtrue: $i > $o).
% 13.69/2.21 thf(func_def_9, type, mfalse: $i > $o).
% 13.69/2.21 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 13.69/2.21 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 13.69/2.21 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 13.69/2.21 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 13.69/2.21 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 13.69/2.21 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 13.69/2.21 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 13.69/2.21 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 13.69/2.21 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 13.69/2.21 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 13.69/2.21 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 13.69/2.21 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 13.69/2.21 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 13.69/2.21 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 13.69/2.21 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 13.69/2.21 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 13.69/2.21 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 13.69/2.21 thf(func_def_37, type, element: mu > mu > $i > $o).
% 13.69/2.21 thf(func_def_56, type, ph1: !>[X0: $tType]:(X0)).
% 13.69/2.21 thf(func_def_57, type, sK2: $i > mu).
% 13.69/2.21 thf(func_def_60, type, sK5: mu).
% 13.69/2.21 thf(func_def_61, type, sK6: mu).
% 13.69/2.21 thf(f2048,plain,(
% 13.69/2.21 $false),
% 13.69/2.21 inference(avatar_sat_refutation,[],[f429,f519,f603,f2047])).
% 13.69/2.21 thf(f2047,plain,(
% 13.69/2.21 ~spl0_2 | ~spl0_4),
% 13.69/2.21 inference(avatar_contradiction_clause,[],[f2046])).
% 13.69/2.21 thf(f2046,plain,(
% 13.69/2.21 $false | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(trivial_inequality_removal,[],[f2045])).
% 13.69/2.21 thf(f2045,plain,(
% 13.69/2.21 ($true = $false) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(boolean_simplification,[],[f2044])).
% 13.69/2.21 thf(f2044,plain,(
% 13.69/2.21 ($true = (~ $true)) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(forward_demodulation,[],[f2027,f1428])).
% 13.69/2.21 thf(f1428,plain,(
% 13.69/2.21 ($true = (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0)))))) | ~spl0_4),
% 13.69/2.21 inference(not_proxy_clausification,[],[f1034])).
% 13.69/2.21 thf(f1034,plain,(
% 13.69/2.21 ((~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0)))))) = $false) | ~spl0_4),
% 13.69/2.21 inference(boolean_simplification,[],[f1023])).
% 13.69/2.21 thf(f1023,plain,(
% 13.69/2.21 (((~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0)))))) | $false) = $false) | ~spl0_4),
% 13.69/2.21 inference(backward_demodulation,[],[f1012,f1021])).
% 13.69/2.21 thf(f1021,plain,(
% 13.69/2.21 ((~ (rel_s4 @ sK4 @ sK8)) = $false) | ~spl0_4),
% 13.69/2.21 inference(binary_proxy_clausification,[],[f1012])).
% 13.69/2.21 thf(f1012,plain,(
% 13.69/2.21 (((~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ (rel_s4 @ sK4 @ sK8))) = $false) | ~spl0_4),
% 13.69/2.21 inference(beta_eta_normalization,[],[f1005])).
% 13.69/2.21 thf(f1005,plain,(
% 13.69/2.21 (((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ sK8) = $false) | ~spl0_4),
% 13.69/2.21 inference(sigma_clausification,[],[f607])).
% 13.69/2.21 thf(f607,plain,(
% 13.69/2.21 ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))) = $false) | ~spl0_4),
% 13.69/2.21 inference(not_proxy_clausification,[],[f518])).
% 13.69/2.21 thf(f518,plain,(
% 13.69/2.21 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true) | ~spl0_4),
% 13.69/2.21 inference(avatar_component_clause,[],[f517])).
% 13.69/2.21 thf(f517,plain,(
% 13.69/2.21 spl0_4 <=> ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true)),
% 13.69/2.21 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 13.69/2.21 thf(f2027,plain,(
% 13.69/2.21 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0))))))) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(boolean_simplification,[],[f2026])).
% 13.69/2.21 thf(f2026,plain,(
% 13.69/2.21 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0)))))) | $false)) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(boolean_simplification,[],[f2019])).
% 13.69/2.21 thf(f2019,plain,(
% 13.69/2.21 (((~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ $true)) = $true) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(superposition,[],[f2009,f174])).
% 13.69/2.21 thf(f174,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (($true = (rel_s4 @ X1 @ X1))) )),
% 13.69/2.21 inference(beta_eta_normalization,[],[f173])).
% 13.69/2.21 thf(f173,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (rel_s4 @ Y0 @ Y0)) @ X1))) )),
% 13.69/2.21 inference(pi_clausification,[],[f172])).
% 13.69/2.21 thf(f172,plain,(
% 13.69/2.21 ($true = (!! @ $i @ (^[Y0 : $i]: (rel_s4 @ Y0 @ Y0))))),
% 13.69/2.21 inference(beta_eta_normalization,[],[f165])).
% 13.69/2.21 thf(f165,plain,(
% 13.69/2.21 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))) @ rel_s4))),
% 13.69/2.21 inference(definition_unfolding,[],[f139,f149])).
% 13.69/2.21 thf(f149,plain,(
% 13.69/2.21 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 13.69/2.21 inference(cnf_transformation,[],[f77])).
% 13.69/2.21 thf(f77,plain,(
% 13.69/2.21 (mreflexive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1 @ Y1)))))),
% 13.69/2.21 inference(fool_elimination,[],[f76])).
% 13.69/2.21 thf(f76,plain,(
% 13.69/2.21 ((^[X0 : $i > $i > $o] : (! [X1] : (X0 @ X1 @ X1))) = mreflexive)),
% 13.69/2.21 inference(rectify,[],[f18])).
% 13.69/2.21 thf(f18,axiom,(
% 13.69/2.21 ((^[X5 : $i > $i > $o] : (! [X8] : (X5 @ X8 @ X8))) = mreflexive)),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive)).
% 13.69/2.21 thf(f139,plain,(
% 13.69/2.21 ((mreflexive @ rel_s4) = $true)),
% 13.69/2.21 inference(cnf_transformation,[],[f100])).
% 13.69/2.21 thf(f100,plain,(
% 13.69/2.21 ((mreflexive @ rel_s4) = $true)),
% 13.69/2.21 inference(fool_elimination,[],[f99])).
% 13.69/2.21 thf(f99,plain,(
% 13.69/2.21 (mreflexive @ rel_s4)),
% 13.69/2.21 inference(rectify,[],[f34])).
% 13.69/2.21 thf(f34,axiom,(
% 13.69/2.21 (mreflexive @ rel_s4)),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1)).
% 13.69/2.21 thf(f2009,plain,(
% 13.69/2.21 ( ! [X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ X1 @ Y0)))))) | (~ (rel_s4 @ sK8 @ X1))) = $true)) ) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(beta_eta_normalization,[],[f2003])).
% 13.69/2.21 thf(f2003,plain,(
% 13.69/2.21 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0)))) @ X1) = $true)) ) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(pi_clausification,[],[f1903])).
% 13.69/2.21 thf(f1903,plain,(
% 13.69/2.21 ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0))))) = $true) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(boolean_simplification,[],[f1902])).
% 13.69/2.21 thf(f1902,plain,(
% 13.69/2.21 (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0))))) | $false) = $true) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(boolean_simplification,[],[f1901])).
% 13.69/2.21 thf(f1901,plain,(
% 13.69/2.21 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0))))) | (~ $true))) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(forward_demodulation,[],[f1900,f1024])).
% 13.69/2.21 thf(f1024,plain,(
% 13.69/2.21 ((rel_s4 @ sK4 @ sK8) = $true) | ~spl0_4),
% 13.69/2.21 inference(not_proxy_clausification,[],[f1021])).
% 13.69/2.21 thf(f1900,plain,(
% 13.69/2.21 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0))))) | (~ (rel_s4 @ sK4 @ sK8)))) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(boolean_simplification,[],[f1899])).
% 13.69/2.21 thf(f1899,plain,(
% 13.69/2.21 ($true = (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0))))) | $false) | (~ (rel_s4 @ sK4 @ sK8)))) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(boolean_simplification,[],[f1898])).
% 13.69/2.21 thf(f1898,plain,(
% 13.69/2.21 ($true = (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0))))) | (~ $true)) | (~ (rel_s4 @ sK4 @ sK8)))) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(forward_demodulation,[],[f1897,f1428])).
% 13.69/2.21 thf(f1897,plain,(
% 13.69/2.21 ($true = (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0))))))) | (~ (rel_s4 @ sK4 @ sK8)))) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(boolean_simplification,[],[f1896])).
% 13.69/2.21 thf(f1896,plain,(
% 13.69/2.21 ((((~ (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0))))))) | (~ (rel_s4 @ sK4 @ sK8))) = $true) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(boolean_simplification,[],[f1895])).
% 13.69/2.21 thf(f1895,plain,(
% 13.69/2.21 ($true = (((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | $false)) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0))))))) | (~ (rel_s4 @ sK4 @ sK8)))) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(boolean_simplification,[],[f1889])).
% 13.69/2.21 thf(f1889,plain,(
% 13.69/2.21 ((((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK8 @ Y0)))))) | (~ $true))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK8 @ Y0))))))) | (~ (rel_s4 @ sK4 @ sK8))) = $true) | (~spl0_2 | ~spl0_4)),
% 13.69/2.21 inference(superposition,[],[f537,f1860])).
% 13.69/2.21 thf(f1860,plain,(
% 13.69/2.21 ((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK8 @ Y0))))) = $true) | ~spl0_4),
% 13.69/2.21 inference(boolean_simplification,[],[f1850])).
% 13.69/2.21 thf(f1850,plain,(
% 13.69/2.21 (($true => (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK8 @ Y0)))))) = $true) | ~spl0_4),
% 13.69/2.21 inference(superposition,[],[f1846,f1076])).
% 13.69/2.21 thf(f1076,plain,(
% 13.69/2.21 ((exists_in_world @ sK6 @ sK8) = $true) | ~spl0_4),
% 13.69/2.21 inference(boolean_simplification,[],[f1050])).
% 13.69/2.21 thf(f1050,plain,(
% 13.69/2.21 ($true = ($true => (exists_in_world @ sK6 @ sK8))) | ~spl0_4),
% 13.69/2.21 inference(superposition,[],[f408,f1024])).
% 13.69/2.21 thf(f408,plain,(
% 13.69/2.21 ( ! [X0 : $i] : (($true = ((rel_s4 @ sK4 @ X0) => (exists_in_world @ sK6 @ X0)))) )),
% 13.69/2.21 inference(boolean_simplification,[],[f403])).
% 13.69/2.21 thf(f403,plain,(
% 13.69/2.21 ( ! [X0 : $i] : (((((rel_s4 @ sK4 @ X0) & $true) => (exists_in_world @ sK6 @ X0)) = $true)) )),
% 13.69/2.21 inference(superposition,[],[f184,f389])).
% 13.69/2.21 thf(f389,plain,(
% 13.69/2.21 ((exists_in_world @ sK6 @ sK4) = $true)),
% 13.69/2.21 inference(binary_proxy_clausification,[],[f387])).
% 13.69/2.21 thf(f387,plain,(
% 13.69/2.21 (((exists_in_world @ sK6 @ sK4) => (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) = $false)),
% 13.69/2.21 inference(beta_eta_normalization,[],[f382])).
% 13.69/2.21 thf(f382,plain,(
% 13.69/2.21 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ Y0 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y2 @ Y2 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ sK5 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y2 @ Y2 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ sK5 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ Y0 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ sK4 @ Y1)))))))) @ sK6))),
% 13.69/2.21 inference(sigma_clausification,[],[f378])).
% 13.69/2.21 thf(f378,plain,(
% 13.69/2.21 ($false = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ Y0 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y2 @ Y2 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ sK5 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y2 @ Y2 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ sK5 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ Y0 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))),
% 13.69/2.21 inference(not_proxy_clausification,[],[f375])).
% 13.69/2.21 thf(f375,plain,(
% 13.69/2.21 ((~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ Y0 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y2 @ Y2 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ sK5 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y2 @ Y2 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ sK5 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ Y0 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ sK4 @ Y1)))))))))) = $true)),
% 13.69/2.21 inference(boolean_simplification,[],[f372])).
% 13.69/2.21 thf(f372,plain,(
% 13.69/2.21 ($true = ($true => (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ Y0 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y2 @ Y2 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ sK5 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y2 @ Y2 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ sK5 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ Y0 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))))),
% 13.69/2.21 inference(superposition,[],[f367,f274])).
% 13.69/2.21 thf(f274,plain,(
% 13.69/2.21 ($true = (exists_in_world @ sK5 @ sK4))),
% 13.69/2.21 inference(binary_proxy_clausification,[],[f272])).
% 13.69/2.21 thf(f272,plain,(
% 13.69/2.21 (((exists_in_world @ sK5 @ sK4) => (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((element @ Y1 @ sK5 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) = $false)),
% 13.69/2.21 inference(beta_eta_normalization,[],[f271])).
% 13.69/2.21 thf(f271,plain,(
% 13.69/2.21 ($false = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((element @ Y2 @ Y0 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ sK4 @ Y1)))))))) @ sK5))),
% 13.69/2.21 inference(sigma_clausification,[],[f224])).
% 13.69/2.21 thf(f224,plain,(
% 13.69/2.21 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((element @ Y2 @ Y0 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))) = $false)),
% 13.69/2.21 inference(boolean_simplification,[],[f222])).
% 13.69/2.21 thf(f222,plain,(
% 13.69/2.21 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((element @ Y2 @ Y0 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))) | $false) = $false)),
% 13.69/2.21 inference(backward_demodulation,[],[f219,f220])).
% 13.69/2.21 thf(f220,plain,(
% 13.69/2.21 ((~ (rel_s4 @ sK3 @ sK4)) = $false)),
% 13.69/2.21 inference(binary_proxy_clausification,[],[f219])).
% 13.69/2.21 thf(f219,plain,(
% 13.69/2.21 ($false = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((element @ Y2 @ Y0 @ Y3) | (~ (rel_s4 @ Y1 @ Y3)))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))) | (~ (rel_s4 @ sK3 @ sK4))))),
% 13.69/2.21 inference(beta_eta_normalization,[],[f218])).
% 13.69/2.21 thf(f218,plain,(
% 13.69/2.21 (((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((element @ Y3 @ Y1 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (~ (rel_s4 @ sK3 @ Y0)))) @ sK4) = $false)),
% 13.69/2.21 inference(sigma_clausification,[],[f216])).
% 13.69/2.21 thf(f216,plain,(
% 13.69/2.21 ($false = (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((element @ Y3 @ Y1 @ Y4) | (~ (rel_s4 @ Y2 @ Y4)))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))) | (~ (rel_s4 @ sK3 @ Y0))))))),
% 13.69/2.21 inference(beta_eta_normalization,[],[f215])).
% 13.69/2.21 thf(f215,plain,(
% 13.69/2.21 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((element @ Y4 @ Y2 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) @ sK3) = $false)),
% 13.69/2.21 inference(sigma_clausification,[],[f213])).
% 13.69/2.21 thf(f213,plain,(
% 13.69/2.21 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((element @ Y4 @ Y2 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) = $false)),
% 13.69/2.21 inference(not_proxy_clausification,[],[f168])).
% 13.69/2.21 thf(f168,plain,(
% 13.69/2.21 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((element @ Y4 @ Y2 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))))),
% 13.69/2.21 inference(boolean_simplification,[],[f167])).
% 13.69/2.21 thf(f167,plain,(
% 13.69/2.21 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((element @ Y4 @ Y2 @ Y5) | (~ (rel_s4 @ Y3 @ Y5)))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))))))),
% 13.69/2.21 inference(beta_eta_normalization,[],[f164])).
% 13.69/2.21 thf(f164,plain,(
% 13.69/2.21 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) @ (element @ Y1 @ Y0))))))))))) = $true)),
% 13.69/2.21 inference(definition_unfolding,[],[f128,f120,f116,f126,f160,f116,f130,f116])).
% 13.69/2.21 thf(f130,plain,(
% 13.69/2.21 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 13.69/2.21 inference(cnf_transformation,[],[f63])).
% 13.69/2.21 thf(f63,plain,(
% 13.69/2.21 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 13.69/2.21 inference(fool_elimination,[],[f62])).
% 13.69/2.21 thf(f62,plain,(
% 13.69/2.21 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : ((exists_in_world @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_ind)),
% 13.69/2.21 inference(rectify,[],[f15])).
% 13.69/2.21 thf(f15,axiom,(
% 13.69/2.21 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : ((exists_in_world @ X0 @ X2) => (X3 @ X0 @ X2)))) = mforall_ind)),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 13.69/2.21 thf(f160,plain,(
% 13.69/2.21 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))),
% 13.69/2.21 inference(definition_unfolding,[],[f119,f126,f130,f126])).
% 13.69/2.21 thf(f119,plain,(
% 13.69/2.21 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 13.69/2.21 inference(cnf_transformation,[],[f104])).
% 13.69/2.21 thf(f104,plain,(
% 13.69/2.21 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 13.69/2.21 inference(fool_elimination,[],[f103])).
% 13.69/2.21 thf(f103,plain,(
% 13.69/2.21 (mexists_ind = (^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))))),
% 13.69/2.21 inference(rectify,[],[f16])).
% 13.69/2.21 thf(f16,axiom,(
% 13.69/2.21 (mexists_ind = (^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))))),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
% 13.69/2.21 thf(f126,plain,(
% 13.69/2.21 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 13.69/2.21 inference(cnf_transformation,[],[f61])).
% 13.69/2.21 thf(f61,plain,(
% 13.69/2.21 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 13.69/2.21 inference(fool_elimination,[],[f60])).
% 13.69/2.21 thf(f60,plain,(
% 13.69/2.21 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 13.69/2.21 inference(rectify,[],[f2])).
% 13.69/2.21 thf(f2,axiom,(
% 13.69/2.21 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 13.69/2.21 thf(f116,plain,(
% 13.69/2.21 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 13.69/2.21 inference(cnf_transformation,[],[f96])).
% 13.69/2.21 thf(f96,plain,(
% 13.69/2.21 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))))),
% 13.69/2.21 inference(fool_elimination,[],[f95])).
% 13.69/2.21 thf(f95,plain,(
% 13.69/2.21 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s4 @ X1 @ X2) | (X0 @ X2)))) = mbox_s4)),
% 13.69/2.21 inference(rectify,[],[f32])).
% 13.69/2.21 thf(f32,axiom,(
% 13.69/2.21 ((^[X3 : $i > $o, X2 : $i] : (! [X6] : (~(rel_s4 @ X2 @ X6) | (X3 @ X6)))) = mbox_s4)),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 13.69/2.21 thf(f120,plain,(
% 13.69/2.21 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 13.69/2.21 inference(cnf_transformation,[],[f42])).
% 13.69/2.21 thf(f42,plain,(
% 13.69/2.21 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 13.69/2.21 inference(fool_elimination,[],[f41])).
% 13.69/2.21 thf(f41,plain,(
% 13.69/2.21 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 13.69/2.21 inference(rectify,[],[f28])).
% 13.69/2.21 thf(f28,axiom,(
% 13.69/2.21 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 13.69/2.21 thf(f128,plain,(
% 13.69/2.21 ((~ (mvalid @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (element @ Y1 @ Y0))))))))))) = $true)),
% 13.69/2.21 inference(cnf_transformation,[],[f67])).
% 13.69/2.21 thf(f67,plain,(
% 13.69/2.21 ((~ (mvalid @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (element @ Y1 @ Y0))))))))))) = $true)),
% 13.69/2.21 inference(fool_elimination,[],[f66])).
% 13.69/2.21 thf(f66,plain,(
% 13.69/2.21 ~(mvalid @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X0 : mu] : (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (element @ X1 @ X0))))))))))),
% 13.69/2.21 inference(rectify,[],[f39])).
% 13.69/2.21 thf(f39,negated_conjecture,(
% 13.69/2.21 ~(mvalid @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X11 : mu] : (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mbox_s4 @ (element @ X0 @ X11))))))))))),
% 13.69/2.21 inference(negated_conjecture,[],[f38])).
% 13.69/2.21 thf(f38,conjecture,(
% 13.69/2.21 (mvalid @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X11 : mu] : (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mbox_s4 @ (element @ X0 @ X11))))))))))),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel41)).
% 13.69/2.21 thf(f367,plain,(
% 13.69/2.21 ( ! [X0 : $i,X1 : mu] : ((((exists_in_world @ X1 @ X0) => (~ (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X0) => (~ (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: (((!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ Y0 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))) | ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y2 @ Y2 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ X1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) | (~ (rel_s4 @ Y1 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: (((~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y2 @ Y2 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ X1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y2 @ Y0 @ Y4) | (~ (rel_s4 @ Y3 @ Y4))))))) | (~ (rel_s4 @ Y1 @ Y3))))))))))) | (~ (rel_s4 @ X0 @ Y1))))))))))) = $true)) )),
% 13.69/2.21 inference(beta_eta_normalization,[],[f366])).
% 13.69/2.21 thf(f366,plain,(
% 13.69/2.21 ( ! [X0 : $i,X1 : mu] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ X0) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ X0) => (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y1 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y3 @ Y3 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y3 @ Y3 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y1 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ X0 @ Y2)))))))))))) @ X1))) )),
% 13.69/2.21 inference(pi_clausification,[],[f364])).
% 13.69/2.21 thf(f364,plain,(
% 13.69/2.21 ( ! [X0 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X0) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ X0) => (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y1 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y3 @ Y3 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y3 @ Y3 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y1 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ X0 @ Y2))))))))))))) = $true)) )),
% 13.69/2.21 inference(boolean_simplification,[],[f363])).
% 13.69/2.21 thf(f363,plain,(
% 13.69/2.21 ( ! [X0 : $i] : (($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X0) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ X0) => (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y1 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y3 @ Y3 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y3 @ Y3 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y1 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ X0 @ Y2))))))))))))) | $false))) )),
% 13.69/2.21 inference(boolean_simplification,[],[f359])).
% 13.69/2.21 thf(f359,plain,(
% 13.69/2.21 ( ! [X0 : $i] : ((((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X0) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ X0) => (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y1 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y3 @ Y3 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y3 @ Y3 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y1 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ X0 @ Y2))))))))))))) | (~ $true)) = $true)) )),
% 13.69/2.21 inference(superposition,[],[f357,f174])).
% 13.69/2.21 thf(f357,plain,(
% 13.69/2.21 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ X2) => (~ (!! @ $i @ (^[Y2 : $i]: ((!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: (((!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y1 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))) | ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y3 @ Y3 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) | (~ (rel_s4 @ Y2 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: (((~ ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y3 @ Y3 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (rel_s4 @ Y4 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y0 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((element @ Y3 @ Y1 @ Y5) | (~ (rel_s4 @ Y4 @ Y5))))))) | (~ (rel_s4 @ Y2 @ Y4))))))))))) | (~ (rel_s4 @ X2 @ Y2))))))))))))) | (~ (rel_s4 @ X1 @ X2))))) )),
% 13.69/2.21 inference(beta_eta_normalization,[],[f356])).
% 13.69/2.21 thf(f356,plain,(
% 13.69/2.21 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (~ ((~ (!! @ $i @ (^[Y5 : $i]: (((!! @ $i @ (^[Y6 : $i]: ((element @ Y4 @ Y2 @ Y6) | (~ (rel_s4 @ Y5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y4 @ Y4 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y4 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: (((~ ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y4 @ Y4 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y4 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y4 @ Y2 @ Y6) | (~ (rel_s4 @ Y5 @ Y6))))))) | (~ (rel_s4 @ Y3 @ Y5))))))))))) | (~ (rel_s4 @ Y0 @ Y3))))))))))))) | (~ (rel_s4 @ X1 @ Y0)))) @ X2) = $true)) )),
% 13.69/2.21 inference(pi_clausification,[],[f355])).
% 13.69/2.21 thf(f355,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y0) => (~ (!! @ $i @ (^[Y3 : $i]: ((!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (~ ((~ (!! @ $i @ (^[Y5 : $i]: (((!! @ $i @ (^[Y6 : $i]: ((element @ Y4 @ Y2 @ Y6) | (~ (rel_s4 @ Y5 @ Y6))))) | ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y4 @ Y4 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y4 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))))) | (~ (rel_s4 @ Y3 @ Y5)))))) | (~ (!! @ $i @ (^[Y5 : $i]: (((~ ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y4 @ Y4 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (rel_s4 @ Y5 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y4 @ Y1 @ Y6) | (~ (rel_s4 @ Y5 @ Y6)))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((element @ Y4 @ Y2 @ Y6) | (~ (rel_s4 @ Y5 @ Y6))))))) | (~ (rel_s4 @ Y3 @ Y5))))))))))) | (~ (rel_s4 @ Y0 @ Y3))))))))))))) | (~ (rel_s4 @ X1 @ Y0))))))) )),
% 13.69/2.21 inference(beta_eta_normalization,[],[f354])).
% 13.69/2.21 thf(f354,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (~ ((~ (!! @ $i @ (^[Y6 : $i]: (((!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y3 @ Y7) | (~ (rel_s4 @ Y6 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((element @ Y5 @ Y5 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: (((~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((element @ Y5 @ Y5 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y3 @ Y7) | (~ (rel_s4 @ Y6 @ Y7))))))) | (~ (rel_s4 @ Y4 @ Y6))))))))))) | (~ (rel_s4 @ Y1 @ Y4))))))))))))) | (~ (rel_s4 @ Y0 @ Y1)))))) @ X1))) )),
% 13.69/2.21 inference(pi_clausification,[],[f171])).
% 13.69/2.21 thf(f171,plain,(
% 13.69/2.21 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (~ ((~ (!! @ $i @ (^[Y6 : $i]: (((!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y3 @ Y7) | (~ (rel_s4 @ Y6 @ Y7))))) | ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((element @ Y5 @ Y5 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))))) | (~ (rel_s4 @ Y4 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: (((~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((element @ Y5 @ Y5 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y3 @ Y7) | (~ (rel_s4 @ Y6 @ Y7))))))) | (~ (rel_s4 @ Y4 @ Y6))))))))))) | (~ (rel_s4 @ Y1 @ Y4))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))))),
% 13.69/2.21 inference(boolean_simplification,[],[f170])).
% 13.69/2.21 thf(f170,plain,(
% 13.69/2.21 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y1) => (~ (!! @ $i @ (^[Y4 : $i]: ((!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (~ ((~ (!! @ $i @ (^[Y6 : $i]: (((!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y3 @ Y7) | (~ (rel_s4 @ Y6 @ Y7))))) | (~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((element @ Y5 @ Y5 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))))))) | (~ (rel_s4 @ Y4 @ Y6)))))) | (~ (!! @ $i @ (^[Y6 : $i]: (((~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (!! @ $i @ (^[Y8 : $i]: ((element @ Y5 @ Y5 @ Y8) | (~ (rel_s4 @ Y7 @ Y8)))))) | (~ (rel_s4 @ Y6 @ Y7)))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y2 @ Y7) | (~ (rel_s4 @ Y6 @ Y7)))))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((element @ Y5 @ Y3 @ Y7) | (~ (rel_s4 @ Y6 @ Y7))))))) | (~ (rel_s4 @ Y4 @ Y6))))))))))) | (~ (rel_s4 @ Y1 @ Y4))))))))))))) | (~ (rel_s4 @ Y0 @ Y1))))))) = $true)),
% 13.69/2.21 inference(beta_eta_normalization,[],[f163])).
% 13.69/2.21 thf(f163,plain,(
% 13.69/2.21 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i]: (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : mu]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ (Y1 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y2 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))))) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i]: (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : mu]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: ((Y6 @ Y7) | (Y5 @ Y7))))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y3) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y4)))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: ((Y6 @ Y7) | (Y5 @ Y7))))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y3) @ Y4)))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) @ (element @ Y2 @ Y1)) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: ((Y6 @ Y7) | (Y5 @ Y7))))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y3) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y4)))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) @ (element @ Y2 @ Y0)) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) @ (element @ Y2 @ Y2))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: ((Y6 @ Y7) | (Y5 @ Y7))))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y3) @ Y4)))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i > $o]: ((^[Y7 : $i]: ((Y6 @ Y7) | (Y5 @ Y7))))))) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y3) @ ((^[Y5 : $i > $o]: ((^[Y6 : $i]: (~ (Y5 @ Y6))))) @ Y4)))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) @ (element @ Y2 @ Y0)) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) @ (element @ Y2 @ Y2))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (rel_s4 @ Y4 @ Y5)))))))) @ (element @ Y2 @ Y1)))))))))))))))),
% 13.69/2.21 inference(definition_unfolding,[],[f122,f120,f116,f130,f160,f116,f130,f154,f116,f155,f116,f154,f116,f116,f126,f116,f116,f155,f154,f116,f116,f126,f116,f116])).
% 13.69/2.21 thf(f155,plain,(
% 13.69/2.21 (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)))))),
% 13.69/2.21 inference(definition_unfolding,[],[f117,f135,f126])).
% 13.69/2.21 thf(f135,plain,(
% 13.69/2.21 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 13.69/2.21 inference(cnf_transformation,[],[f92])).
% 13.69/2.21 thf(f92,plain,(
% 13.69/2.21 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 13.69/2.21 inference(fool_elimination,[],[f91])).
% 13.69/2.21 thf(f91,plain,(
% 13.69/2.21 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 13.69/2.21 inference(rectify,[],[f3])).
% 13.69/2.21 thf(f3,axiom,(
% 13.69/2.21 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 13.69/2.21 thf(f117,plain,(
% 13.69/2.21 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 13.69/2.21 inference(cnf_transformation,[],[f94])).
% 13.69/2.21 thf(f94,plain,(
% 13.69/2.21 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 13.69/2.21 inference(fool_elimination,[],[f93])).
% 13.69/2.21 thf(f93,plain,(
% 13.69/2.21 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 13.69/2.21 inference(rectify,[],[f9])).
% 13.69/2.21 thf(f9,axiom,(
% 13.69/2.21 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 13.69/2.21 thf(f154,plain,(
% 13.69/2.21 (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)))))))),
% 13.69/2.21 inference(definition_unfolding,[],[f115,f126,f135,f126,f126])).
% 13.69/2.21 thf(f115,plain,(
% 13.69/2.21 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 13.69/2.21 inference(cnf_transformation,[],[f81])).
% 13.69/2.21 thf(f81,plain,(
% 13.69/2.21 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 13.69/2.21 inference(fool_elimination,[],[f80])).
% 13.69/2.21 thf(f80,plain,(
% 13.69/2.21 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 13.69/2.21 inference(rectify,[],[f8])).
% 13.69/2.21 thf(f8,axiom,(
% 13.69/2.21 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 13.69/2.21 thf(f122,plain,(
% 13.69/2.21 ($true = (mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y2 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (element @ Y2 @ Y1)) @ (mand @ (mbox_s4 @ (element @ Y2 @ Y0)) @ (mbox_s4 @ (mnot @ (mbox_s4 @ (element @ Y2 @ Y2))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (element @ Y2 @ Y0)) @ (mbox_s4 @ (mnot @ (mbox_s4 @ (element @ Y2 @ Y2))))) @ (mbox_s4 @ (element @ Y2 @ Y1)))))))))))))))),
% 13.69/2.21 inference(cnf_transformation,[],[f85])).
% 13.69/2.21 thf(f85,plain,(
% 13.69/2.21 ($true = (mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y2 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (element @ Y2 @ Y1)) @ (mand @ (mbox_s4 @ (element @ Y2 @ Y0)) @ (mbox_s4 @ (mnot @ (mbox_s4 @ (element @ Y2 @ Y2))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (element @ Y2 @ Y0)) @ (mbox_s4 @ (mnot @ (mbox_s4 @ (element @ Y2 @ Y2))))) @ (mbox_s4 @ (element @ Y2 @ Y1)))))))))))))))),
% 13.69/2.21 inference(fool_elimination,[],[f84])).
% 13.69/2.21 thf(f84,plain,(
% 13.69/2.21 (mvalid @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (mbox_s4 @ (mforall_ind @ (^[X2 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (element @ X2 @ X1)) @ (mand @ (mbox_s4 @ (element @ X2 @ X0)) @ (mbox_s4 @ (mnot @ (mbox_s4 @ (element @ X2 @ X2))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (element @ X2 @ X0)) @ (mbox_s4 @ (mnot @ (mbox_s4 @ (element @ X2 @ X2))))) @ (mbox_s4 @ (element @ X2 @ X1))))))))))))))),
% 13.69/2.21 inference(rectify,[],[f37])).
% 13.69/2.21 thf(f37,axiom,(
% 13.69/2.21 (mvalid @ (mbox_s4 @ (mforall_ind @ (^[X11 : mu] : (mexists_ind @ (^[X1 : mu] : (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (element @ X0 @ X1)) @ (mand @ (mbox_s4 @ (element @ X0 @ X11)) @ (mbox_s4 @ (mnot @ (mbox_s4 @ (element @ X0 @ X0))))))) @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (element @ X0 @ X11)) @ (mbox_s4 @ (mnot @ (mbox_s4 @ (element @ X0 @ X0))))) @ (mbox_s4 @ (element @ X0 @ X1))))))))))))))),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel41_1)).
% 13.69/2.21 thf(f184,plain,(
% 13.69/2.21 ( ! [X2 : $i,X3 : mu,X1 : $i] : (((((rel_s4 @ X2 @ X1) & (exists_in_world @ X3 @ X2)) => (exists_in_world @ X3 @ X1)) = $true)) )),
% 13.69/2.21 inference(beta_eta_normalization,[],[f183])).
% 13.69/2.21 thf(f183,plain,(
% 13.69/2.21 ( ! [X2 : $i,X3 : mu,X1 : $i] : ((((^[Y0 : mu]: (((rel_s4 @ X2 @ X1) & (exists_in_world @ Y0 @ X2)) => (exists_in_world @ Y0 @ X1))) @ X3) = $true)) )),
% 13.69/2.21 inference(pi_clausification,[],[f182])).
% 13.69/2.21 thf(f182,plain,(
% 13.69/2.21 ( ! [X2 : $i,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (((rel_s4 @ X2 @ X1) & (exists_in_world @ Y0 @ X2)) => (exists_in_world @ Y0 @ X1)))) = $true)) )),
% 13.69/2.21 inference(beta_eta_normalization,[],[f181])).
% 13.69/2.21 thf(f181,plain,(
% 13.69/2.21 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (((rel_s4 @ Y0 @ X1) & (exists_in_world @ Y1 @ Y0)) => (exists_in_world @ Y1 @ X1))))) @ X2))) )),
% 13.69/2.21 inference(pi_clausification,[],[f180])).
% 13.69/2.21 thf(f180,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (((rel_s4 @ Y0 @ X1) & (exists_in_world @ Y1 @ Y0)) => (exists_in_world @ Y1 @ X1)))))))) )),
% 13.69/2.21 inference(beta_eta_normalization,[],[f179])).
% 13.69/2.21 thf(f179,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (((rel_s4 @ Y1 @ Y0) & (exists_in_world @ Y2 @ Y1)) => (exists_in_world @ Y2 @ Y0))))))) @ X1))) )),
% 13.69/2.21 inference(pi_clausification,[],[f146])).
% 13.69/2.21 thf(f146,plain,(
% 13.69/2.21 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (((rel_s4 @ Y1 @ Y0) & (exists_in_world @ Y2 @ Y1)) => (exists_in_world @ Y2 @ Y0)))))))))),
% 13.69/2.21 inference(cnf_transformation,[],[f83])).
% 13.69/2.21 thf(f83,plain,(
% 13.69/2.21 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (((rel_s4 @ Y1 @ Y0) & (exists_in_world @ Y2 @ Y1)) => (exists_in_world @ Y2 @ Y0)))))))))),
% 13.69/2.21 inference(fool_elimination,[],[f82])).
% 13.69/2.21 thf(f82,plain,(
% 13.69/2.21 ! [X0 : mu,X1,X2] : (((exists_in_world @ X0 @ X1) & (rel_s4 @ X1 @ X2)) => (exists_in_world @ X0 @ X2))),
% 13.69/2.21 inference(rectify,[],[f36])).
% 13.69/2.21 thf(f36,axiom,(
% 13.69/2.21 ! [X0 : mu,X6,X2] : (((exists_in_world @ X0 @ X6) & (rel_s4 @ X6 @ X2)) => (exists_in_world @ X0 @ X2))),
% 13.69/2.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cumulative_ax)).
% 13.69/2.21 thf(f1846,plain,(
% 13.69/2.21 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK8) => (!! @ $i @ (^[Y0 : $i]: ((element @ X1 @ sK5 @ Y0) | (~ (rel_s4 @ sK8 @ Y0)))))) = $true)) ) | ~spl0_4),
% 13.69/2.21 inference(beta_eta_normalization,[],[f1844])).
% 13.69/2.21 thf(f1844,plain,(
% 13.69/2.21 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK8) => (!! @ $i @ (^[Y1 : $i]: ((element @ Y0 @ sK5 @ Y1) | (~ (rel_s4 @ sK8 @ Y1))))))) @ X1))) ) | ~spl0_4),
% 13.69/2.21 inference(pi_clausification,[],[f1039])).
% 13.69/2.21 thf(f1039,plain,(
% 13.69/2.21 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK8) => (!! @ $i @ (^[Y1 : $i]: ((element @ Y0 @ sK5 @ Y1) | (~ (rel_s4 @ sK8 @ Y1)))))))) = $true) | ~spl0_4),
% 13.69/2.21 inference(boolean_simplification,[],[f1025])).
% 13.69/2.21 thf(f1025,plain,(
% 13.69/2.21 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK8) => (!! @ $i @ (^[Y1 : $i]: ((element @ Y0 @ sK5 @ Y1) | (~ (rel_s4 @ sK8 @ Y1)))))))) | $false) = $true) | ~spl0_4),
% 13.69/2.21 inference(superposition,[],[f291,f1021])).
% 13.69/2.21 thf(f291,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((element @ Y0 @ sK5 @ Y1) | (~ (rel_s4 @ X1 @ Y1)))))))) | (~ (rel_s4 @ sK4 @ X1))))) )),
% 13.69/2.21 inference(beta_eta_normalization,[],[f290])).
% 13.69/2.21 thf(f290,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((element @ Y1 @ sK5 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ X1))) )),
% 13.69/2.21 inference(pi_clausification,[],[f288])).
% 13.69/2.21 thf(f288,plain,(
% 13.69/2.21 ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((element @ Y1 @ sK5 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK4 @ Y0))))) = $true)),
% 13.69/2.21 inference(not_proxy_clausification,[],[f280])).
% 13.69/2.21 thf(f280,plain,(
% 13.69/2.21 ((~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((element @ Y1 @ sK5 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $false)),
% 13.69/2.21 inference(boolean_simplification,[],[f275])).
% 13.69/2.21 thf(f275,plain,(
% 13.69/2.21 (($true => (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((element @ Y1 @ sK5 @ Y2) | (~ (rel_s4 @ Y0 @ Y2)))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) = $false)),
% 13.69/2.21 inference(backward_demodulation,[],[f272,f274])).
% 13.69/2.21 thf(f537,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (($true = (((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ X1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ X1 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ X1 @ Y0))))))) | (~ (rel_s4 @ sK4 @ X1))))) ) | ~spl0_2),
% 13.69/2.21 inference(beta_eta_normalization,[],[f535])).
% 13.69/2.21 thf(f535,plain,(
% 13.69/2.21 ( ! [X1 : $i] : ((((^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ X1) = $true)) ) | ~spl0_2),
% 13.69/2.21 inference(pi_clausification,[],[f488])).
% 13.69/2.21 thf(f488,plain,(
% 13.69/2.21 ((!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))) = $true) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f487])).
% 13.69/2.21 thf(f487,plain,(
% 13.69/2.21 (($true => (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true) | ~spl0_2),
% 13.69/2.21 inference(forward_demodulation,[],[f486,f389])).
% 13.69/2.21 thf(f486,plain,(
% 13.69/2.21 ($true = ((exists_in_world @ sK6 @ sK4) => (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f485])).
% 13.69/2.21 thf(f485,plain,(
% 13.69/2.21 ($true = ((exists_in_world @ sK6 @ sK4) => (~ (~ (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f483])).
% 13.69/2.21 thf(f483,plain,(
% 13.69/2.21 ($true = ((exists_in_world @ sK6 @ sK4) => (~ ($false | (~ (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))))) | ~spl0_2),
% 13.69/2.21 inference(superposition,[],[f441,f476])).
% 13.69/2.21 thf(f476,plain,(
% 13.69/2.21 ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $false) | ~spl0_2),
% 13.69/2.21 inference(binary_proxy_clausification,[],[f454])).
% 13.69/2.21 thf(f454,plain,(
% 13.69/2.21 (((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) = $false) | ~spl0_2),
% 13.69/2.21 inference(not_proxy_clausification,[],[f451])).
% 13.69/2.21 thf(f451,plain,(
% 13.69/2.21 ($true = (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f447])).
% 13.69/2.21 thf(f447,plain,(
% 13.69/2.21 (($true => (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))))) = $true) | ~spl0_2),
% 13.69/2.21 inference(superposition,[],[f441,f389])).
% 13.69/2.21 thf(f441,plain,(
% 13.69/2.21 ( ! [X1 : mu] : (($true = ((exists_in_world @ X1 @ sK4) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((element @ X1 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ X1 @ X1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ X1 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ X1 @ X1 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ X1 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ X1 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))))) | (~ (rel_s4 @ sK4 @ Y0))))))))))) ) | ~spl0_2),
% 13.69/2.21 inference(beta_eta_normalization,[],[f439])).
% 13.69/2.21 thf(f439,plain,(
% 13.69/2.21 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y0 @ Y0 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK5 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y0 @ Y0 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK5 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1)))))))))) @ X1))) ) | ~spl0_2),
% 13.69/2.21 inference(pi_clausification,[],[f438])).
% 13.69/2.21 thf(f438,plain,(
% 13.69/2.21 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y0 @ Y0 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK5 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y0 @ Y0 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK5 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))) = $true) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f437])).
% 13.69/2.21 thf(f437,plain,(
% 13.69/2.21 (((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y0 @ Y0 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK5 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y0 @ Y0 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK5 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))) | $false) = $true) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f436])).
% 13.69/2.21 thf(f436,plain,(
% 13.69/2.21 ($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y0 @ Y0 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK5 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (rel_s4 @ sK4 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y0 @ Y0 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK5 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ sK4 @ Y1))))))))))) | (~ $true))) | ~spl0_2),
% 13.69/2.21 inference(superposition,[],[f433,f174])).
% 13.69/2.21 thf(f433,plain,(
% 13.69/2.21 ( ! [X1 : $i] : ((((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X1) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))) | ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y0 @ Y0 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK5 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (rel_s4 @ X1 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y0 @ Y0 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK5 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((element @ Y0 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2))))))) | (~ (rel_s4 @ X1 @ Y1))))))))))) | (~ (rel_s4 @ sK4 @ X1))) = $true)) ) | ~spl0_2),
% 13.69/2.21 inference(beta_eta_normalization,[],[f432])).
% 13.69/2.21 thf(f432,plain,(
% 13.69/2.21 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ X1) = $true)) ) | ~spl0_2),
% 13.69/2.21 inference(pi_clausification,[],[f430])).
% 13.69/2.21 thf(f430,plain,(
% 13.69/2.21 ((!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))) = $true) | ~spl0_2),
% 13.69/2.21 inference(not_proxy_clausification,[],[f397])).
% 13.69/2.21 thf(f397,plain,(
% 13.69/2.21 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | ~spl0_2),
% 13.69/2.21 inference(avatar_component_clause,[],[f396])).
% 13.69/2.21 thf(f396,plain,(
% 13.69/2.21 spl0_2 <=> ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))),
% 13.69/2.21 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 13.69/2.21 thf(f603,plain,(
% 13.69/2.21 ~spl0_2 | ~spl0_3),
% 13.69/2.21 inference(avatar_contradiction_clause,[],[f602])).
% 13.69/2.21 thf(f602,plain,(
% 13.69/2.21 $false | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(trivial_inequality_removal,[],[f601])).
% 13.69/2.21 thf(f601,plain,(
% 13.69/2.21 ($true = $false) | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(boolean_simplification,[],[f600])).
% 13.69/2.21 thf(f600,plain,(
% 13.69/2.21 ($true = (~ $true)) | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(forward_demodulation,[],[f593,f174])).
% 13.69/2.21 thf(f593,plain,(
% 13.69/2.21 ($true = (~ (rel_s4 @ sK4 @ sK4))) | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(boolean_simplification,[],[f592])).
% 13.69/2.21 thf(f592,plain,(
% 13.69/2.21 ($true = ($false | (~ (rel_s4 @ sK4 @ sK4)))) | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(boolean_simplification,[],[f591])).
% 13.69/2.21 thf(f591,plain,(
% 13.69/2.21 ($true = ((~ $true) | (~ (rel_s4 @ sK4 @ sK4)))) | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(superposition,[],[f577,f515])).
% 13.69/2.21 thf(f515,plain,(
% 13.69/2.21 ((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))) = $true) | ~spl0_3),
% 13.69/2.21 inference(avatar_component_clause,[],[f514])).
% 13.69/2.21 thf(f514,plain,(
% 13.69/2.21 spl0_3 <=> ((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))) = $true)),
% 13.69/2.21 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 13.69/2.21 thf(f577,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ X1 @ Y0)))))) | (~ (rel_s4 @ sK4 @ X1))))) ) | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(beta_eta_normalization,[],[f574])).
% 13.69/2.21 thf(f574,plain,(
% 13.69/2.21 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ X1) = $true)) ) | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(pi_clausification,[],[f560])).
% 13.69/2.21 thf(f560,plain,(
% 13.69/2.21 ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))) = $true) | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(boolean_simplification,[],[f559])).
% 13.69/2.21 thf(f559,plain,(
% 13.69/2.21 (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))) | $false) = $true) | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(boolean_simplification,[],[f558])).
% 13.69/2.21 thf(f558,plain,(
% 13.69/2.21 (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))) | (~ $true)) = $true) | (~spl0_2 | ~spl0_3)),
% 13.69/2.21 inference(forward_demodulation,[],[f557,f515])).
% 13.69/2.21 thf(f557,plain,(
% 13.69/2.21 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0)))))))) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f556])).
% 13.69/2.21 thf(f556,plain,(
% 13.69/2.21 (((~ (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))))) = $true) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f555])).
% 13.69/2.21 thf(f555,plain,(
% 13.69/2.21 ($true = ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | $false)) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0)))))))) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f554])).
% 13.69/2.21 thf(f554,plain,(
% 13.69/2.21 ($true = ((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ $true))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0)))))))) | ~spl0_2),
% 13.69/2.21 inference(forward_demodulation,[],[f553,f407])).
% 13.69/2.21 thf(f407,plain,(
% 13.69/2.21 ($true = (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))))),
% 13.69/2.21 inference(boolean_simplification,[],[f400])).
% 13.69/2.21 thf(f400,plain,(
% 13.69/2.21 (($true => (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true)),
% 13.69/2.21 inference(superposition,[],[f299,f389])).
% 13.69/2.21 thf(f299,plain,(
% 13.69/2.21 ( ! [X1 : mu] : ((((exists_in_world @ X1 @ sK4) => (!! @ $i @ (^[Y0 : $i]: ((element @ X1 @ sK5 @ Y0) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true)) )),
% 13.69/2.21 inference(beta_eta_normalization,[],[f297])).
% 13.69/2.21 thf(f297,plain,(
% 13.69/2.21 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (!! @ $i @ (^[Y1 : $i]: ((element @ Y0 @ sK5 @ Y1) | (~ (rel_s4 @ sK4 @ Y1))))))) @ X1))) )),
% 13.69/2.21 inference(pi_clausification,[],[f296])).
% 13.69/2.21 thf(f296,plain,(
% 13.69/2.21 ($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (!! @ $i @ (^[Y1 : $i]: ((element @ Y0 @ sK5 @ Y1) | (~ (rel_s4 @ sK4 @ Y1)))))))))),
% 13.69/2.21 inference(boolean_simplification,[],[f295])).
% 13.69/2.21 thf(f295,plain,(
% 13.69/2.21 ($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (!! @ $i @ (^[Y1 : $i]: ((element @ Y0 @ sK5 @ Y1) | (~ (rel_s4 @ sK4 @ Y1)))))))) | $false))),
% 13.69/2.21 inference(boolean_simplification,[],[f294])).
% 13.69/2.21 thf(f294,plain,(
% 13.69/2.21 ($true = ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (!! @ $i @ (^[Y1 : $i]: ((element @ Y0 @ sK5 @ Y1) | (~ (rel_s4 @ sK4 @ Y1)))))))) | (~ $true)))),
% 13.69/2.21 inference(superposition,[],[f291,f174])).
% 13.69/2.21 thf(f553,plain,(
% 13.69/2.21 (((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK4 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))))) = $true) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f552])).
% 13.69/2.21 thf(f552,plain,(
% 13.69/2.21 ((((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK4 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))))) | $false) = $true) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f544])).
% 13.69/2.21 thf(f544,plain,(
% 13.69/2.21 ($true = (((~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK4 @ Y0)))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))))) | (~ $true))) | ~spl0_2),
% 13.69/2.21 inference(superposition,[],[f537,f174])).
% 13.69/2.21 thf(f519,plain,(
% 13.69/2.21 spl0_3 | spl0_4 | ~spl0_2),
% 13.69/2.21 inference(avatar_split_clause,[],[f512,f396,f517,f514])).
% 13.69/2.21 thf(f512,plain,(
% 13.69/2.21 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))) = $true) | ~spl0_2),
% 13.69/2.21 inference(binary_proxy_clausification,[],[f508])).
% 13.69/2.21 thf(f508,plain,(
% 13.69/2.21 ($true = ((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))))) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f507])).
% 13.69/2.21 thf(f507,plain,(
% 13.69/2.21 ($true = ((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | $false))) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f506])).
% 13.69/2.21 thf(f506,plain,(
% 13.69/2.21 ($true = ((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ $true)))) | ~spl0_2),
% 13.69/2.21 inference(forward_demodulation,[],[f505,f407])).
% 13.69/2.21 thf(f505,plain,(
% 13.69/2.21 ($true = ((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))))))) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f504])).
% 13.69/2.21 thf(f504,plain,(
% 13.69/2.21 ($true = (((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK4 @ Y0)))))))) | $false)) | ~spl0_2),
% 13.69/2.21 inference(boolean_simplification,[],[f500])).
% 13.69/2.21 thf(f500,plain,(
% 13.69/2.21 ($true = (((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ sK4 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ sK4 @ Y0)))))))) | (~ $true))) | ~spl0_2),
% 13.69/2.21 inference(superposition,[],[f495,f174])).
% 13.69/2.21 thf(f495,plain,(
% 13.69/2.21 ( ! [X1 : $i] : (((((!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK6 @ Y0) | (~ (rel_s4 @ X1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (rel_s4 @ X1 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((element @ sK6 @ sK5 @ Y0) | (~ (rel_s4 @ X1 @ Y0)))))))) | (~ (rel_s4 @ sK4 @ X1))) = $true)) ) | ~spl0_2),
% 13.69/2.21 inference(beta_eta_normalization,[],[f490])).
% 13.69/2.21 thf(f490,plain,(
% 13.69/2.21 ( ! [X1 : $i] : ((((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK4 @ Y0)))) @ X1) = $true)) ) | ~spl0_2),
% 13.69/2.21 inference(pi_clausification,[],[f482])).
% 13.69/2.21 thf(f482,plain,(
% 13.69/2.21 ($true = (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK6 @ Y1) | (~ (rel_s4 @ Y0 @ Y1))))) | ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (!! @ $i @ (^[Y2 : $i]: ((element @ sK6 @ sK6 @ Y2) | (~ (rel_s4 @ Y1 @ Y2)))))) | (~ (rel_s4 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((element @ sK6 @ sK5 @ Y1) | (~ (rel_s4 @ Y0 @ Y1)))))))) | (~ (rel_s4 @ sK4 @ Y0)))))) | ~spl0_2),
% 13.69/2.21 inference(not_proxy_clausification,[],[f476])).
% 13.69/2.21 thf(f429,plain,(
% 13.69/2.21 spl0_2),
% 13.69/2.21 inference(avatar_split_clause,[],[f388,f396])).
% 13.69/2.21 thf(f388,plain,(
% 13.69/2.21 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))) | ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (rel_s4 @ Y0 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (!! @ $i @ (^[Y4 : $i]: ((element @ Y1 @ Y1 @ Y4) | (~ (rel_s4 @ Y3 @ Y4)))))) | (~ (rel_s4 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK5 @ Y3) | (~ (rel_s4 @ Y2 @ Y3)))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((element @ Y1 @ sK6 @ Y3) | (~ (rel_s4 @ Y2 @ Y3))))))) | (~ (rel_s4 @ Y0 @ Y2))))))))))) | (~ (rel_s4 @ sK4 @ Y0)))))))),
% 13.69/2.21 inference(binary_proxy_clausification,[],[f387])).
% 13.69/2.21 % SZS output end Proof for theBenchmark
% 13.69/2.21 % (13599)------------------------------
% 13.69/2.21 % (13599)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.69/2.21 % (13599)Termination reason: Refutation
% 13.69/2.21
% 13.69/2.21 % (13599)Memory used [KB]: 7164
% 13.69/2.21 % (13599)Time elapsed: 0.123 s
% 13.69/2.21 % (13599)Instructions burned: 374 (million)
% 13.69/2.21 % (13599)------------------------------
% 13.69/2.21 % (13599)------------------------------
% 13.69/2.21 % (13389)Success in time 1.873 s
% 13.69/2.21 % Vampire---4.8 exiting
%------------------------------------------------------------------------------