TSTP Solution File: SET575^7 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET575^7 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 03:12:09 EDT 2024
% Result : Theorem 3.94s 0.84s
% Output : Refutation 3.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SET575^7 : TPTP v8.2.0. Released v5.5.0.
% 0.08/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30 % Computer : n021.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon May 20 11:12:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a TH0_THM_EQU_NAR problem
% 0.10/0.31 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/sandbox2/benchmark/theBenchmark.p
% 0.15/0.32 % (15266)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.32 % (15268)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)
% 0.15/0.32 % (15267)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)
% 0.15/0.32 % (15269)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.32 % (15270)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)
% 0.15/0.32 % (15272)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.32 % (15269)Instruction limit reached!
% 0.15/0.32 % (15269)------------------------------
% 0.15/0.32 % (15269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (15269)Termination reason: Unknown
% 0.15/0.32 % (15269)Termination phase: shuffling
% 0.15/0.32
% 0.15/0.32 % (15271)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)
% 0.15/0.32 % (15270)Instruction limit reached!
% 0.15/0.32 % (15270)------------------------------
% 0.15/0.32 % (15270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.32 % (15270)Termination reason: Unknown
% 0.15/0.32 % (15270)Termination phase: shuffling
% 0.15/0.32
% 0.15/0.32 % (15270)Memory used [KB]: 1023
% 0.15/0.32 % (15270)Time elapsed: 0.002 s
% 0.15/0.32 % (15270)Instructions burned: 2 (million)
% 0.15/0.32 % (15270)------------------------------
% 0.15/0.32 % (15270)------------------------------
% 0.15/0.32 % (15269)Memory used [KB]: 1023
% 0.15/0.32 % (15269)Time elapsed: 0.002 s
% 0.15/0.32 % (15269)Instructions burned: 2 (million)
% 0.15/0.32 % (15269)------------------------------
% 0.15/0.32 % (15269)------------------------------
% 0.15/0.33 % (15273)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)
% 0.15/0.33 % (15267)Instruction limit reached!
% 0.15/0.33 % (15267)------------------------------
% 0.15/0.33 % (15267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (15267)Termination reason: Unknown
% 0.15/0.33 % (15267)Termination phase: Property scanning
% 0.15/0.33
% 0.15/0.33 % (15267)Memory used [KB]: 1023
% 0.15/0.33 % (15267)Time elapsed: 0.004 s
% 0.15/0.33 % (15267)Instructions burned: 5 (million)
% 0.15/0.33 % (15267)------------------------------
% 0.15/0.33 % (15267)------------------------------
% 0.15/0.33 % (15273)Instruction limit reached!
% 0.15/0.33 % (15273)------------------------------
% 0.15/0.33 % (15273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (15273)Termination reason: Unknown
% 0.15/0.33 % (15273)Termination phase: shuffling
% 0.15/0.33
% 0.15/0.33 % (15273)Memory used [KB]: 1023
% 0.15/0.33 % (15273)Time elapsed: 0.004 s
% 0.15/0.33 % (15273)Instructions burned: 5 (million)
% 0.15/0.33 % (15273)------------------------------
% 0.15/0.33 % (15273)------------------------------
% 0.15/0.33 % (15271)Refutation not found, incomplete strategy
% 0.15/0.33 % (15271)------------------------------
% 0.15/0.33 % (15271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (15271)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.33
% 0.15/0.33
% 0.15/0.33 % (15271)Memory used [KB]: 5628
% 0.15/0.33 % (15271)Time elapsed: 0.007 s
% 0.15/0.33 % (15271)Instructions burned: 12 (million)
% 0.15/0.33 % (15271)------------------------------
% 0.15/0.33 % (15271)------------------------------
% 0.15/0.33 % (15272)Instruction limit reached!
% 0.15/0.33 % (15272)------------------------------
% 0.15/0.33 % (15272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (15272)Termination reason: Unknown
% 0.15/0.33 % (15272)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (15272)Memory used [KB]: 5628
% 0.15/0.33 % (15272)Time elapsed: 0.009 s
% 0.15/0.33 % (15272)Instructions burned: 19 (million)
% 0.15/0.33 % (15272)------------------------------
% 0.15/0.33 % (15272)------------------------------
% 0.15/0.33 % (15268)Instruction limit reached!
% 0.15/0.33 % (15268)------------------------------
% 0.15/0.33 % (15268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.33 % (15268)Termination reason: Unknown
% 0.15/0.33 % (15268)Termination phase: Saturation
% 0.15/0.33
% 0.15/0.33 % (15268)Memory used [KB]: 5628
% 0.15/0.33 % (15268)Time elapsed: 0.011 s
% 0.15/0.33 % (15268)Instructions burned: 27 (million)
% 0.15/0.33 % (15268)------------------------------
% 0.15/0.33 % (15268)------------------------------
% 0.15/0.34 % (15274)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)
% 0.15/0.34 % (15275)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)
% 0.15/0.34 % (15276)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)
% 0.15/0.34 % (15276)Instruction limit reached!
% 0.15/0.34 % (15276)------------------------------
% 0.15/0.34 % (15276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (15276)Termination reason: Unknown
% 0.15/0.34 % (15276)Termination phase: shuffling
% 0.15/0.34
% 0.15/0.34 % (15276)Memory used [KB]: 1023
% 0.15/0.34 % (15276)Time elapsed: 0.003 s
% 0.15/0.34 % (15276)Instructions burned: 4 (million)
% 0.15/0.34 % (15276)------------------------------
% 0.15/0.34 % (15276)------------------------------
% 0.15/0.34 % (15277)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)
% 0.15/0.34 % (15278)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.34 % (15275)Instruction limit reached!
% 0.15/0.34 % (15275)------------------------------
% 0.15/0.34 % (15275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.34 % (15275)Termination reason: Unknown
% 0.15/0.34 % (15275)Termination phase: Saturation
% 0.15/0.34
% 0.15/0.34 % (15275)Memory used [KB]: 1151
% 0.15/0.34 % (15275)Time elapsed: 0.008 s
% 0.15/0.34 % (15275)Instructions burned: 17 (million)
% 0.15/0.34 % (15275)------------------------------
% 0.15/0.34 % (15275)------------------------------
% 0.15/0.34 % (15279)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.15/0.34 % (15280)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)
% 0.15/0.35 % (15280)Instruction limit reached!
% 0.15/0.35 % (15280)------------------------------
% 0.15/0.35 % (15280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (15280)Termination reason: Unknown
% 0.15/0.35 % (15280)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (15280)Memory used [KB]: 1023
% 0.15/0.35 % (15280)Time elapsed: 0.003 s
% 0.15/0.35 % (15280)Instructions burned: 4 (million)
% 0.15/0.35 % (15280)------------------------------
% 0.15/0.35 % (15280)------------------------------
% 0.15/0.35 % (15278)Instruction limit reached!
% 0.15/0.35 % (15278)------------------------------
% 0.15/0.35 % (15278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (15278)Termination reason: Unknown
% 0.15/0.35 % (15278)Termination phase: Property scanning
% 0.15/0.35
% 0.15/0.35 % (15278)Memory used [KB]: 1023
% 0.15/0.35 % (15278)Time elapsed: 0.005 s
% 0.15/0.35 % (15278)Instructions burned: 8 (million)
% 0.15/0.35 % (15278)------------------------------
% 0.15/0.35 % (15278)------------------------------
% 0.15/0.35 % (15279)Instruction limit reached!
% 0.15/0.35 % (15279)------------------------------
% 0.15/0.35 % (15279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (15279)Termination reason: Unknown
% 0.15/0.35 % (15279)Termination phase: Saturation
% 0.15/0.35
% 0.15/0.35 % (15279)Memory used [KB]: 5628
% 0.15/0.35 % (15279)Time elapsed: 0.009 s
% 0.15/0.35 % (15279)Instructions burned: 17 (million)
% 0.15/0.35 % (15279)------------------------------
% 0.15/0.35 % (15279)------------------------------
% 0.15/0.35 % (15274)Instruction limit reached!
% 0.15/0.35 % (15274)------------------------------
% 0.15/0.35 % (15274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (15274)Termination reason: Unknown
% 0.15/0.35 % (15274)Termination phase: Saturation
% 0.15/0.35
% 0.15/0.35 % (15274)Memory used [KB]: 5756
% 0.15/0.35 % (15274)Time elapsed: 0.017 s
% 0.15/0.35 % (15274)Instructions burned: 38 (million)
% 0.15/0.35 % (15274)------------------------------
% 0.15/0.35 % (15274)------------------------------
% 0.15/0.35 % (15281)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)
% 0.15/0.35 % (15281)Instruction limit reached!
% 0.15/0.35 % (15281)------------------------------
% 0.15/0.35 % (15281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.35 % (15281)Termination reason: Unknown
% 0.15/0.35 % (15281)Termination phase: shuffling
% 0.15/0.35
% 0.15/0.35 % (15281)Memory used [KB]: 1023
% 0.15/0.35 % (15281)Time elapsed: 0.003 s
% 0.15/0.35 % (15281)Instructions burned: 3 (million)
% 0.15/0.35 % (15281)------------------------------
% 0.15/0.35 % (15281)------------------------------
% 0.15/0.36 % (15282)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)
% 0.15/0.36 % (15283)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)
% 0.15/0.36 % (15283)Instruction limit reached!
% 0.15/0.36 % (15283)------------------------------
% 0.15/0.36 % (15283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (15283)Termination reason: Unknown
% 0.15/0.36 % (15283)Termination phase: Property scanning
% 0.15/0.36
% 0.15/0.36 % (15283)Memory used [KB]: 1023
% 0.15/0.36 % (15283)Time elapsed: 0.003 s
% 0.15/0.36 % (15283)Instructions burned: 5 (million)
% 0.15/0.36 % (15283)------------------------------
% 0.15/0.36 % (15283)------------------------------
% 0.15/0.36 % (15282)Instruction limit reached!
% 0.15/0.36 % (15282)------------------------------
% 0.15/0.36 % (15282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (15282)Termination reason: Unknown
% 0.15/0.36 % (15282)Termination phase: Property scanning
% 0.15/0.36
% 0.15/0.36 % (15282)Memory used [KB]: 1023
% 0.15/0.36 % (15282)Time elapsed: 0.004 s
% 0.15/0.36 % (15282)Instructions burned: 7 (million)
% 0.15/0.36 % (15282)------------------------------
% 0.15/0.36 % (15282)------------------------------
% 0.15/0.36 % (15284)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.36 % (15284)Instruction limit reached!
% 0.15/0.36 % (15284)------------------------------
% 0.15/0.36 % (15284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (15284)Termination reason: Unknown
% 0.15/0.36 % (15284)Termination phase: Property scanning
% 0.15/0.36
% 0.15/0.36 % (15284)Memory used [KB]: 1023
% 0.15/0.36 % (15284)Time elapsed: 0.004 s
% 0.15/0.36 % (15284)Instructions burned: 5 (million)
% 0.15/0.36 % (15284)------------------------------
% 0.15/0.36 % (15284)------------------------------
% 0.15/0.36 % (15285)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)
% 0.15/0.37 % (15286)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.15/0.37 % (15287)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.37 % (15287)Instruction limit reached!
% 0.15/0.37 % (15287)------------------------------
% 0.15/0.37 % (15287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (15287)Termination reason: Unknown
% 0.15/0.37 % (15287)Termination phase: Property scanning
% 0.15/0.37
% 0.15/0.37 % (15287)Memory used [KB]: 1023
% 0.15/0.37 % (15287)Time elapsed: 0.004 s
% 0.15/0.37 % (15287)Instructions burned: 6 (million)
% 0.15/0.37 % (15287)------------------------------
% 0.15/0.37 % (15287)------------------------------
% 0.15/0.37 % (15288)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)
% 0.15/0.37 % (15289)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)
% 0.15/0.38 % (15288)Refutation not found, incomplete strategy
% 0.15/0.38 % (15288)------------------------------
% 0.15/0.38 % (15288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (15288)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (15288)Memory used [KB]: 5628
% 0.15/0.38 % (15288)Time elapsed: 0.006 s
% 0.15/0.38 % (15288)Instructions burned: 11 (million)
% 0.15/0.38 % (15288)------------------------------
% 0.15/0.38 % (15288)------------------------------
% 0.15/0.38 % (15290)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.15/0.38 % (15285)Instruction limit reached!
% 0.15/0.38 % (15285)------------------------------
% 0.15/0.38 % (15285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (15285)Termination reason: Unknown
% 0.15/0.38 % (15285)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (15285)Memory used [KB]: 5628
% 0.15/0.38 % (15285)Time elapsed: 0.013 s
% 0.15/0.38 % (15285)Instructions burned: 19 (million)
% 0.15/0.38 % (15285)------------------------------
% 0.15/0.38 % (15285)------------------------------
% 0.15/0.38 % (15290)Instruction limit reached!
% 0.15/0.38 % (15290)------------------------------
% 0.15/0.38 % (15290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (15290)Termination reason: Unknown
% 0.15/0.38 % (15290)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (15290)Memory used [KB]: 1023
% 0.15/0.38 % (15290)Time elapsed: 0.004 s
% 0.15/0.38 % (15290)Instructions burned: 5 (million)
% 0.15/0.38 % (15290)------------------------------
% 0.15/0.38 % (15290)------------------------------
% 0.15/0.38 % (15291)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)
% 0.15/0.38 % (15289)Instruction limit reached!
% 0.15/0.38 % (15289)------------------------------
% 0.15/0.38 % (15289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (15289)Termination reason: Unknown
% 0.15/0.38 % (15289)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (15289)Memory used [KB]: 5628
% 0.15/0.38 % (15289)Time elapsed: 0.011 s
% 0.15/0.38 % (15289)Instructions burned: 23 (million)
% 0.15/0.38 % (15289)------------------------------
% 0.15/0.38 % (15289)------------------------------
% 0.15/0.38 % (15291)Instruction limit reached!
% 0.15/0.38 % (15291)------------------------------
% 0.15/0.38 % (15291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (15291)Termination reason: Unknown
% 0.15/0.38 % (15291)Termination phase: Property scanning
% 0.15/0.38
% 0.15/0.38 % (15291)Memory used [KB]: 1023
% 0.15/0.38 % (15291)Time elapsed: 0.004 s
% 0.15/0.38 % (15291)Instructions burned: 6 (million)
% 0.15/0.38 % (15291)------------------------------
% 0.15/0.38 % (15291)------------------------------
% 0.15/0.39 % (15292)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.15/0.39 % (15293)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)
% 0.15/0.39 % (15294)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)
% 0.15/0.39 % (15295)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)
% 0.15/0.40 % (15296)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.15/0.40 % (15294)Instruction limit reached!
% 0.15/0.40 % (15294)------------------------------
% 0.15/0.40 % (15294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15294)Termination reason: Unknown
% 0.15/0.40 % (15294)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (15294)Memory used [KB]: 5628
% 0.15/0.40 % (15294)Time elapsed: 0.010 s
% 0.15/0.40 % (15294)Instructions burned: 20 (million)
% 0.15/0.40 % (15294)------------------------------
% 0.15/0.40 % (15294)------------------------------
% 0.15/0.40 % (15266)Instruction limit reached!
% 0.15/0.40 % (15266)------------------------------
% 0.15/0.40 % (15266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15266)Termination reason: Unknown
% 0.15/0.40 % (15266)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (15266)Memory used [KB]: 6396
% 0.15/0.40 % (15266)Time elapsed: 0.080 s
% 0.15/0.40 % (15266)Instructions burned: 184 (million)
% 0.15/0.40 % (15266)------------------------------
% 0.15/0.40 % (15266)------------------------------
% 0.15/0.40 % (15296)Instruction limit reached!
% 0.15/0.40 % (15296)------------------------------
% 0.15/0.40 % (15296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15296)Termination reason: Unknown
% 0.15/0.40 % (15296)Termination phase: Saturation
% 0.15/0.40
% 0.15/0.40 % (15296)Memory used [KB]: 5628
% 0.15/0.40 % (15296)Time elapsed: 0.009 s
% 0.15/0.40 % (15296)Instructions burned: 18 (million)
% 0.15/0.40 % (15296)------------------------------
% 0.15/0.40 % (15296)------------------------------
% 0.15/0.41 % (15297)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.41 % (15298)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.15/0.41 % (15297)Instruction limit reached!
% 0.15/0.41 % (15297)------------------------------
% 0.15/0.41 % (15297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (15297)Termination reason: Unknown
% 0.15/0.41 % (15297)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (15297)Memory used [KB]: 1023
% 0.15/0.41 % (15297)Time elapsed: 0.003 s
% 0.15/0.41 % (15297)Instructions burned: 3 (million)
% 0.15/0.41 % (15297)------------------------------
% 0.15/0.41 % (15297)------------------------------
% 0.15/0.42 % (15299)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)
% 0.15/0.43 % (15298)Instruction limit reached!
% 0.15/0.43 % (15298)------------------------------
% 0.15/0.43 % (15298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (15298)Termination reason: Unknown
% 0.15/0.43 % (15298)Termination phase: Saturation
% 0.15/0.43
% 0.15/0.43 % (15298)Memory used [KB]: 5756
% 0.15/0.43 % (15298)Time elapsed: 0.013 s
% 0.15/0.43 % (15298)Instructions burned: 31 (million)
% 0.15/0.43 % (15298)------------------------------
% 0.15/0.43 % (15298)------------------------------
% 0.15/0.43 % (15300)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)
% 0.15/0.44 % (15301)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 (2998ds/3Mi)
% 0.15/0.44 % (15301)Instruction limit reached!
% 0.15/0.44 % (15301)------------------------------
% 0.15/0.44 % (15301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.44 % (15301)Termination reason: Unknown
% 0.15/0.44 % (15301)Termination phase: shuffling
% 0.15/0.44
% 0.15/0.44 % (15301)Memory used [KB]: 1023
% 0.15/0.44 % (15301)Time elapsed: 0.003 s
% 0.15/0.44 % (15301)Instructions burned: 4 (million)
% 0.15/0.44 % (15301)------------------------------
% 0.15/0.44 % (15301)------------------------------
% 0.15/0.45 % (15302)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)
% 0.15/0.46 % (15302)Instruction limit reached!
% 0.15/0.46 % (15302)------------------------------
% 0.15/0.46 % (15302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.46 % (15302)Termination reason: Unknown
% 0.15/0.46 % (15302)Termination phase: Saturation
% 0.15/0.46
% 0.15/0.46 % (15302)Memory used [KB]: 5628
% 0.15/0.46 % (15302)Time elapsed: 0.010 s
% 0.15/0.46 % (15302)Instructions burned: 22 (million)
% 0.15/0.46 % (15302)------------------------------
% 0.15/0.46 % (15302)------------------------------
% 0.15/0.47 % (15300)Instruction limit reached!
% 0.15/0.47 % (15300)------------------------------
% 0.15/0.47 % (15300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.47 % (15300)Termination reason: Unknown
% 0.15/0.47 % (15300)Termination phase: Saturation
% 0.15/0.47
% 0.15/0.47 % (15300)Memory used [KB]: 5884
% 0.15/0.47 % (15300)Time elapsed: 0.044 s
% 0.15/0.47 % (15300)Instructions burned: 100 (million)
% 0.15/0.47 % (15300)------------------------------
% 0.15/0.47 % (15300)------------------------------
% 0.15/0.47 % (15303)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)
% 0.15/0.47 % (15299)Instruction limit reached!
% 0.15/0.47 % (15299)------------------------------
% 0.15/0.47 % (15299)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.47 % (15299)Termination reason: Unknown
% 0.15/0.47 % (15299)Termination phase: Saturation
% 0.15/0.47
% 0.15/0.47 % (15299)Memory used [KB]: 6140
% 0.15/0.47 % (15299)Time elapsed: 0.059 s
% 0.15/0.47 % (15299)Instructions burned: 129 (million)
% 0.15/0.47 % (15299)------------------------------
% 0.15/0.47 % (15299)------------------------------
% 0.15/0.48 % (15304)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)
% 0.15/0.49 % (15305)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)
% 0.15/0.50 % (15305)Instruction limit reached!
% 0.15/0.50 % (15305)------------------------------
% 0.15/0.50 % (15305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.50 % (15305)Termination reason: Unknown
% 0.15/0.50 % (15305)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (15305)Memory used [KB]: 5884
% 0.15/0.50 % (15305)Time elapsed: 0.019 s
% 0.15/0.50 % (15305)Instructions burned: 39 (million)
% 0.15/0.50 % (15305)------------------------------
% 0.15/0.50 % (15305)------------------------------
% 0.15/0.51 % (15303)Instruction limit reached!
% 0.15/0.51 % (15303)------------------------------
% 0.15/0.51 % (15303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.51 % (15303)Termination reason: Unknown
% 0.15/0.51 % (15303)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (15303)Memory used [KB]: 6012
% 0.15/0.51 % (15303)Time elapsed: 0.037 s
% 0.15/0.51 % (15303)Instructions burned: 88 (million)
% 0.15/0.51 % (15303)------------------------------
% 0.15/0.51 % (15303)------------------------------
% 0.15/0.52 % (15306)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)
% 0.15/0.52 % (15307)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)
% 1.86/0.54 % (15307)Instruction limit reached!
% 1.86/0.54 % (15307)------------------------------
% 1.86/0.54 % (15307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.54 % (15307)Termination reason: Unknown
% 1.86/0.54 % (15307)Termination phase: Saturation
% 1.86/0.54
% 1.86/0.54 % (15307)Memory used [KB]: 5756
% 1.86/0.54 % (15307)Time elapsed: 0.025 s
% 1.86/0.54 % (15307)Instructions burned: 48 (million)
% 1.86/0.54 % (15307)------------------------------
% 1.86/0.54 % (15307)------------------------------
% 1.86/0.54 % (15292)Instruction limit reached!
% 1.86/0.54 % (15292)------------------------------
% 1.86/0.54 % (15292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.54 % (15292)Termination reason: Unknown
% 1.86/0.54 % (15292)Termination phase: Saturation
% 1.86/0.54
% 1.86/0.54 % (15292)Memory used [KB]: 6524
% 1.86/0.54 % (15292)Time elapsed: 0.157 s
% 1.86/0.54 % (15292)Instructions burned: 377 (million)
% 1.86/0.54 % (15292)------------------------------
% 1.86/0.54 % (15292)------------------------------
% 1.86/0.55 % (15304)Instruction limit reached!
% 1.86/0.55 % (15304)------------------------------
% 1.86/0.55 % (15304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.55 % (15304)Termination reason: Unknown
% 1.86/0.55 % (15304)Termination phase: Saturation
% 1.86/0.55
% 1.86/0.55 % (15304)Memory used [KB]: 6140
% 1.86/0.55 % (15304)Time elapsed: 0.078 s
% 1.86/0.55 % (15304)Instructions burned: 107 (million)
% 1.86/0.55 % (15304)------------------------------
% 1.86/0.55 % (15304)------------------------------
% 1.86/0.55 % (15308)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 (2997ds/98Mi)
% 1.86/0.56 % (15309)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 (2997ds/507Mi)
% 1.86/0.56 % (15310)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 (2997ds/149Mi)
% 1.86/0.57 % (15309)Refutation not found, incomplete strategy
% 1.86/0.57 % (15309)------------------------------
% 1.86/0.57 % (15309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.57 % (15309)Termination reason: Refutation not found, incomplete strategy
% 1.86/0.57
% 1.86/0.57
% 1.86/0.57 % (15309)Memory used [KB]: 5756
% 1.86/0.57 % (15309)Time elapsed: 0.011 s
% 1.86/0.57 % (15309)Instructions burned: 26 (million)
% 1.86/0.57 % (15309)------------------------------
% 1.86/0.57 % (15309)------------------------------
% 1.86/0.58 % (15311)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.86/0.59 % (15311)Instruction limit reached!
% 1.86/0.59 % (15311)------------------------------
% 1.86/0.59 % (15311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.59 % (15311)Termination reason: Unknown
% 1.86/0.59 % (15311)Termination phase: Saturation
% 1.86/0.59
% 1.86/0.59 % (15311)Memory used [KB]: 5756
% 1.86/0.59 % (15311)Time elapsed: 0.016 s
% 1.86/0.59 % (15311)Instructions burned: 39 (million)
% 1.86/0.59 % (15311)------------------------------
% 1.86/0.59 % (15311)------------------------------
% 1.86/0.60 % (15308)Instruction limit reached!
% 1.86/0.60 % (15308)------------------------------
% 1.86/0.60 % (15308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.60 % (15308)Termination reason: Unknown
% 1.86/0.60 % (15308)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (15308)Memory used [KB]: 1535
% 1.86/0.60 % (15308)Time elapsed: 0.043 s
% 1.86/0.60 % (15308)Instructions burned: 99 (million)
% 1.86/0.60 % (15308)------------------------------
% 1.86/0.60 % (15308)------------------------------
% 1.86/0.61 % (15312)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)
% 1.86/0.61 % (15312)Instruction limit reached!
% 1.86/0.61 % (15312)------------------------------
% 1.86/0.61 % (15312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.61 % (15312)Termination reason: Unknown
% 1.86/0.61 % (15312)Termination phase: Property scanning
% 1.86/0.61
% 1.86/0.61 % (15312)Memory used [KB]: 1023
% 1.86/0.61 % (15312)Time elapsed: 0.004 s
% 1.86/0.61 % (15312)Instructions burned: 6 (million)
% 1.86/0.61 % (15312)------------------------------
% 1.86/0.61 % (15312)------------------------------
% 1.86/0.61 % (15313)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)
% 1.86/0.62 % (15314)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.86/0.62 % (15313)Refutation not found, incomplete strategy
% 1.86/0.62 % (15313)------------------------------
% 1.86/0.62 % (15313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.62 % (15313)Termination reason: Refutation not found, incomplete strategy
% 1.86/0.62
% 1.86/0.62
% 1.86/0.62 % (15313)Memory used [KB]: 5756
% 1.86/0.62 % (15313)Time elapsed: 0.018 s
% 1.86/0.62 % (15313)Instructions burned: 42 (million)
% 1.86/0.62 % (15313)------------------------------
% 1.86/0.62 % (15313)------------------------------
% 1.86/0.63 % (15310)Instruction limit reached!
% 1.86/0.63 % (15310)------------------------------
% 1.86/0.63 % (15310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.63 % (15310)Termination reason: Unknown
% 1.86/0.63 % (15310)Termination phase: Saturation
% 1.86/0.63
% 1.86/0.63 % (15310)Memory used [KB]: 6140
% 1.86/0.63 % (15310)Time elapsed: 0.092 s
% 1.86/0.63 % (15310)Instructions burned: 150 (million)
% 1.86/0.63 % (15310)------------------------------
% 1.86/0.63 % (15310)------------------------------
% 2.60/0.64 % (15315)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 (2996ds/44Mi)
% 2.60/0.64 % (15314)Instruction limit reached!
% 2.60/0.64 % (15314)------------------------------
% 2.60/0.64 % (15314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.64 % (15314)Termination reason: Unknown
% 2.60/0.64 % (15314)Termination phase: Saturation
% 2.60/0.64
% 2.60/0.64 % (15314)Memory used [KB]: 5756
% 2.60/0.64 % (15314)Time elapsed: 0.021 s
% 2.60/0.64 % (15314)Instructions burned: 48 (million)
% 2.60/0.64 % (15314)------------------------------
% 2.60/0.64 % (15314)------------------------------
% 2.60/0.64 % (15316)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 (2996ds/432Mi)
% 2.60/0.65 % (15317)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.60/0.65 % (15315)Instruction limit reached!
% 2.60/0.65 % (15315)------------------------------
% 2.60/0.65 % (15315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.65 % (15315)Termination reason: Unknown
% 2.60/0.65 % (15315)Termination phase: Saturation
% 2.60/0.65
% 2.60/0.65 % (15315)Memory used [KB]: 1279
% 2.60/0.65 % (15315)Time elapsed: 0.019 s
% 2.60/0.65 % (15315)Instructions burned: 46 (million)
% 2.60/0.65 % (15315)------------------------------
% 2.60/0.65 % (15315)------------------------------
% 2.60/0.67 % (15318)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 (2996ds/31Mi)
% 2.60/0.67 % (15286)Instruction limit reached!
% 2.60/0.67 % (15286)------------------------------
% 2.60/0.67 % (15286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.67 % (15286)Termination reason: Unknown
% 2.60/0.67 % (15286)Termination phase: Saturation
% 2.60/0.67
% 2.60/0.67 % (15286)Memory used [KB]: 6780
% 2.60/0.67 % (15286)Time elapsed: 0.305 s
% 2.60/0.67 % (15286)Instructions burned: 710 (million)
% 2.60/0.67 % (15286)------------------------------
% 2.60/0.67 % (15286)------------------------------
% 2.60/0.68 % (15295)Instruction limit reached!
% 2.60/0.68 % (15295)------------------------------
% 2.60/0.68 % (15295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.68 % (15295)Termination reason: Unknown
% 2.60/0.68 % (15295)Termination phase: Saturation
% 2.60/0.68
% 2.60/0.68 % (15295)Memory used [KB]: 6780
% 2.60/0.68 % (15295)Time elapsed: 0.285 s
% 2.60/0.68 % (15295)Instructions burned: 882 (million)
% 2.60/0.68 % (15295)------------------------------
% 2.60/0.68 % (15295)------------------------------
% 2.60/0.68 % (15317)Instruction limit reached!
% 2.60/0.68 % (15317)------------------------------
% 2.60/0.68 % (15317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.68 % (15317)Termination reason: Unknown
% 2.60/0.68 % (15317)Termination phase: Saturation
% 2.60/0.68
% 2.60/0.68 % (15317)Memory used [KB]: 6012
% 2.60/0.68 % (15318)Instruction limit reached!
% 2.60/0.68 % (15318)------------------------------
% 2.60/0.68 % (15318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.68 % (15318)Termination reason: Unknown
% 2.60/0.68 % (15318)Termination phase: Saturation
% 2.60/0.68
% 2.60/0.68 % (15318)Memory used [KB]: 5756
% 2.60/0.68 % (15318)Time elapsed: 0.013 s
% 2.60/0.68 % (15318)Instructions burned: 31 (million)
% 2.60/0.68 % (15318)------------------------------
% 2.60/0.68 % (15318)------------------------------
% 2.60/0.68 % (15317)Time elapsed: 0.028 s
% 2.60/0.68 % (15317)Instructions burned: 63 (million)
% 2.60/0.68 % (15317)------------------------------
% 2.60/0.68 % (15317)------------------------------
% 2.60/0.68 % (15319)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.97/0.69 % (15322)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)
% 2.97/0.69 % (15321)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 (2996ds/71Mi)
% 2.97/0.69 % (15320)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 (2996ds/453Mi)
% 2.97/0.72 % (15306)Instruction limit reached!
% 2.97/0.72 % (15306)------------------------------
% 2.97/0.72 % (15306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.72 % (15321)Instruction limit reached!
% 2.97/0.72 % (15321)------------------------------
% 2.97/0.72 % (15321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.72 % (15321)Termination reason: Unknown
% 2.97/0.72 % (15321)Termination phase: Saturation
% 2.97/0.72
% 2.97/0.72 % (15321)Memory used [KB]: 6140
% 2.97/0.72 % (15321)Time elapsed: 0.032 s
% 2.97/0.72 % (15321)Instructions burned: 71 (million)
% 2.97/0.72 % (15321)------------------------------
% 2.97/0.72 % (15321)------------------------------
% 2.97/0.72 % (15306)Termination reason: Unknown
% 2.97/0.72 % (15306)Termination phase: Saturation
% 2.97/0.72
% 2.97/0.72 % (15306)Memory used [KB]: 6780
% 2.97/0.72 % (15306)Time elapsed: 0.205 s
% 2.97/0.72 % (15306)Instructions burned: 448 (million)
% 2.97/0.72 % (15306)------------------------------
% 2.97/0.72 % (15306)------------------------------
% 2.97/0.72 % (15322)Instruction limit reached!
% 2.97/0.72 % (15322)------------------------------
% 2.97/0.72 % (15322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.72 % (15322)Termination reason: Unknown
% 2.97/0.72 % (15322)Termination phase: Saturation
% 2.97/0.72
% 2.97/0.72 % (15322)Memory used [KB]: 5756
% 2.97/0.72 % (15322)Time elapsed: 0.033 s
% 2.97/0.72 % (15322)Instructions burned: 83 (million)
% 2.97/0.72 % (15322)------------------------------
% 2.97/0.72 % (15322)------------------------------
% 2.97/0.72 % (15293)Instruction limit reached!
% 2.97/0.72 % (15293)------------------------------
% 2.97/0.72 % (15293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.72 % (15293)Termination reason: Unknown
% 2.97/0.72 % (15293)Termination phase: Saturation
% 2.97/0.72
% 2.97/0.72 % (15293)Memory used [KB]: 6652
% 2.97/0.72 % (15293)Time elapsed: 0.336 s
% 2.97/0.72 % (15293)Instructions burned: 779 (million)
% 2.97/0.72 % (15293)------------------------------
% 2.97/0.72 % (15293)------------------------------
% 2.97/0.73 % (15319)Instruction limit reached!
% 2.97/0.73 % (15319)------------------------------
% 2.97/0.73 % (15319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.73 % (15319)Termination reason: Unknown
% 2.97/0.73 % (15319)Termination phase: Saturation
% 2.97/0.73
% 2.97/0.73 % (15319)Memory used [KB]: 6012
% 2.97/0.73 % (15319)Time elapsed: 0.045 s
% 2.97/0.73 % (15319)Instructions burned: 96 (million)
% 2.97/0.73 % (15319)------------------------------
% 2.97/0.73 % (15319)------------------------------
% 2.97/0.73 % (15323)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 2.97/0.73 % (15324)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 (2995ds/41Mi)
% 2.97/0.73 % (15325)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 2.97/0.74 % (15325)Instruction limit reached!
% 2.97/0.74 % (15325)------------------------------
% 2.97/0.74 % (15325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.74 % (15325)Termination reason: Unknown
% 2.97/0.74 % (15325)Termination phase: shuffling
% 2.97/0.74
% 2.97/0.74 % (15325)Memory used [KB]: 1023
% 2.97/0.74 % (15325)Time elapsed: 0.004 s
% 2.97/0.74 % (15325)Instructions burned: 7 (million)
% 2.97/0.74 % (15325)------------------------------
% 2.97/0.74 % (15325)------------------------------
% 2.97/0.74 % (15326)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 2.97/0.74 % (15323)Instruction limit reached!
% 2.97/0.74 % (15323)------------------------------
% 2.97/0.74 % (15323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.74 % (15323)Termination reason: Unknown
% 2.97/0.74 % (15323)Termination phase: Property scanning
% 2.97/0.74
% 2.97/0.74 % (15323)Memory used [KB]: 1151
% 2.97/0.74 % (15323)Time elapsed: 0.006 s
% 2.97/0.74 % (15323)Instructions burned: 12 (million)
% 2.97/0.74 % (15323)------------------------------
% 2.97/0.74 % (15323)------------------------------
% 2.97/0.74 % (15327)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 (2995ds/343Mi)
% 2.97/0.75 % (15328)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 (2995ds/109Mi)
% 2.97/0.75 % (15329)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 (2995ds/253Mi)
% 2.97/0.75 % (15324)Instruction limit reached!
% 2.97/0.75 % (15324)------------------------------
% 2.97/0.75 % (15324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.97/0.75 % (15324)Termination reason: Unknown
% 2.97/0.75 % (15324)Termination phase: Saturation
% 2.97/0.75
% 2.97/0.75 % (15324)Memory used [KB]: 5756
% 2.97/0.75 % (15324)Time elapsed: 0.018 s
% 2.97/0.75 % (15324)Instructions burned: 41 (million)
% 2.97/0.75 % (15324)------------------------------
% 2.97/0.75 % (15324)------------------------------
% 3.34/0.76 % (15329)Refutation not found, incomplete strategy
% 3.34/0.76 % (15329)------------------------------
% 3.34/0.76 % (15329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.34/0.76 % (15329)Termination reason: Refutation not found, incomplete strategy
% 3.34/0.76
% 3.34/0.76
% 3.34/0.76 % (15329)Memory used [KB]: 5628
% 3.34/0.76 % (15329)Time elapsed: 0.010 s
% 3.34/0.76 % (15329)Instructions burned: 23 (million)
% 3.34/0.76 % (15329)------------------------------
% 3.34/0.76 % (15329)------------------------------
% 3.37/0.76 % (15330)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 3.37/0.77 % (15331)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 (2995ds/614Mi)
% 3.37/0.77 % (15330)Refutation not found, incomplete strategy
% 3.37/0.77 % (15330)------------------------------
% 3.37/0.77 % (15330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.77 % (15330)Termination reason: Refutation not found, incomplete strategy
% 3.37/0.77
% 3.37/0.77
% 3.37/0.77 % (15330)Memory used [KB]: 5628
% 3.37/0.77 % (15330)Time elapsed: 0.010 s
% 3.37/0.77 % (15330)Instructions burned: 20 (million)
% 3.37/0.77 % (15330)------------------------------
% 3.37/0.77 % (15330)------------------------------
% 3.37/0.79 % (15332)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 (2995ds/202Mi)
% 3.37/0.79 % (15332)Refutation not found, incomplete strategy
% 3.37/0.79 % (15332)------------------------------
% 3.37/0.79 % (15332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.79 % (15332)Termination reason: Refutation not found, incomplete strategy
% 3.37/0.79
% 3.37/0.79
% 3.37/0.79 % (15332)Memory used [KB]: 5628
% 3.37/0.79 % (15332)Time elapsed: 0.007 s
% 3.37/0.79 % (15332)Instructions burned: 10 (million)
% 3.37/0.79 % (15332)------------------------------
% 3.37/0.79 % (15332)------------------------------
% 3.37/0.80 % (15328)Instruction limit reached!
% 3.37/0.80 % (15328)------------------------------
% 3.37/0.80 % (15328)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.80 % (15328)Termination reason: Unknown
% 3.37/0.80 % (15328)Termination phase: Saturation
% 3.37/0.80
% 3.37/0.80 % (15328)Memory used [KB]: 6140
% 3.37/0.80 % (15328)Time elapsed: 0.048 s
% 3.37/0.80 % (15328)Instructions burned: 109 (million)
% 3.37/0.80 % (15328)------------------------------
% 3.37/0.80 % (15328)------------------------------
% 3.37/0.80 % (15277)Instruction limit reached!
% 3.37/0.80 % (15277)------------------------------
% 3.37/0.80 % (15277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.80 % (15277)Termination reason: Unknown
% 3.37/0.80 % (15277)Termination phase: Saturation
% 3.37/0.80
% 3.37/0.80 % (15277)Memory used [KB]: 7675
% 3.37/0.80 % (15277)Time elapsed: 0.458 s
% 3.37/0.80 % (15277)Instructions burned: 1042 (million)
% 3.37/0.80 % (15277)------------------------------
% 3.37/0.80 % (15277)------------------------------
% 3.37/0.80 % (15326)Instruction limit reached!
% 3.37/0.80 % (15326)------------------------------
% 3.37/0.80 % (15326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.37/0.80 % (15326)Termination reason: Unknown
% 3.37/0.80 % (15326)Termination phase: Saturation
% 3.37/0.80
% 3.37/0.80 % (15326)Memory used [KB]: 6012
% 3.37/0.80 % (15326)Time elapsed: 0.064 s
% 3.37/0.80 % (15326)Instructions burned: 150 (million)
% 3.37/0.80 % (15326)------------------------------
% 3.37/0.80 % (15326)------------------------------
% 3.58/0.80 % (15333)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 (2995ds/339Mi)
% 3.58/0.81 % (15334)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 (2995ds/283Mi)
% 3.58/0.81 % (15335)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 (2995ds/134Mi)
% 3.58/0.81 % (15336)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2995ds/298Mi)
% 3.58/0.83 % (15320)First to succeed.
% 3.58/0.83 % (15316)Instruction limit reached!
% 3.58/0.83 % (15316)------------------------------
% 3.58/0.83 % (15316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.58/0.83 % (15316)Termination reason: Unknown
% 3.58/0.83 % (15316)Termination phase: Saturation
% 3.58/0.83
% 3.58/0.83 % (15316)Memory used [KB]: 2686
% 3.58/0.83 % (15316)Time elapsed: 0.192 s
% 3.58/0.83 % (15316)Instructions burned: 433 (million)
% 3.58/0.83 % (15316)------------------------------
% 3.58/0.83 % (15316)------------------------------
% 3.94/0.84 % (15320)Refutation found. Thanks to Tanya!
% 3.94/0.84 % SZS status Theorem for theBenchmark
% 3.94/0.84 % SZS output start Proof for theBenchmark
% 3.94/0.84 thf(type_def_5, type, mu: $tType).
% 3.94/0.84 thf(func_def_0, type, mu: $tType).
% 3.94/0.84 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 3.94/0.84 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_8, type, mtrue: $i > $o).
% 3.94/0.84 thf(func_def_9, type, mfalse: $i > $o).
% 3.94/0.84 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 3.94/0.84 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 3.94/0.84 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 3.94/0.84 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 3.94/0.84 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 3.94/0.84 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 3.94/0.84 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 3.94/0.84 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 3.94/0.84 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 3.94/0.84 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 3.94/0.84 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 3.94/0.84 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 3.94/0.84 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 3.94/0.84 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 3.94/0.84 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 3.94/0.84 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 3.94/0.84 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 3.94/0.84 thf(func_def_37, type, member: mu > mu > $i > $o).
% 3.94/0.84 thf(func_def_38, type, intersect: mu > mu > $i > $o).
% 3.94/0.84 thf(func_def_58, type, ph1: !>[X0: $tType]:(X0)).
% 3.94/0.84 thf(func_def_60, type, sK3: $i > mu).
% 3.94/0.84 thf(func_def_62, type, sK5: mu).
% 3.94/0.84 thf(func_def_64, type, sK7: mu).
% 3.94/0.84 thf(func_def_66, type, sK9: mu > $i).
% 3.94/0.84 thf(func_def_67, type, sK10: mu > $i).
% 3.94/0.84 thf(func_def_68, type, sK11: mu > mu > $i > $i).
% 3.94/0.84 thf(func_def_69, type, sK12: mu > mu > $i > $i).
% 3.94/0.84 thf(f752,plain,(
% 3.94/0.84 $false),
% 3.94/0.84 inference(avatar_sat_refutation,[],[f337,f709,f748,f751])).
% 3.94/0.84 thf(f751,plain,(
% 3.94/0.84 ~spl0_11),
% 3.94/0.84 inference(avatar_contradiction_clause,[],[f750])).
% 3.94/0.84 thf(f750,plain,(
% 3.94/0.84 $false | ~spl0_11),
% 3.94/0.84 inference(trivial_inequality_removal,[],[f749])).
% 3.94/0.84 thf(f749,plain,(
% 3.94/0.84 ($true = $false) | ~spl0_11),
% 3.94/0.84 inference(backward_demodulation,[],[f217,f705])).
% 3.94/0.84 thf(f705,plain,(
% 3.94/0.84 ((exists_in_world @ sK7 @ sK6) = $false) | ~spl0_11),
% 3.94/0.84 inference(avatar_component_clause,[],[f703])).
% 3.94/0.84 thf(f703,plain,(
% 3.94/0.84 spl0_11 <=> ((exists_in_world @ sK7 @ sK6) = $false)),
% 3.94/0.84 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 3.94/0.84 thf(f217,plain,(
% 3.94/0.84 ($true = (exists_in_world @ sK7 @ sK6))),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f215])).
% 3.94/0.84 thf(f215,plain,(
% 3.94/0.84 (((exists_in_world @ sK7 @ sK6) => (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK6 @ Y0)) | ((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ sK7 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ sK5 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (intersect @ sK5 @ sK7 @ Y1)))))))))) = $false)),
% 3.94/0.84 inference(beta_eta_normalization,[],[f214])).
% 3.94/0.84 thf(f214,plain,(
% 3.94/0.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK6) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK6 @ Y1)) | ((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ sK5 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ sK5 @ Y0 @ Y2))))))))))) @ sK7) = $false)),
% 3.94/0.84 inference(sigma_clausification,[],[f209])).
% 3.94/0.84 thf(f209,plain,(
% 3.94/0.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK6) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK6 @ Y1)) | ((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ sK5 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ sK5 @ Y0 @ Y2)))))))))))) = $false)),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f208])).
% 3.94/0.84 thf(f208,plain,(
% 3.94/0.84 ($false = ((~ (rel_s4 @ sK4 @ sK6)) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK6) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK6 @ Y1)) | ((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ sK5 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ sK5 @ Y0 @ Y2))))))))))))))),
% 3.94/0.84 inference(beta_eta_normalization,[],[f207])).
% 3.94/0.84 thf(f207,plain,(
% 3.94/0.84 (((^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ Y1 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ sK5 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (intersect @ sK5 @ Y1 @ Y3)))))))))))))) @ sK6) = $false)),
% 3.94/0.84 inference(sigma_clausification,[],[f200])).
% 3.94/0.84 thf(f200,plain,(
% 3.94/0.84 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ Y1 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ sK5 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (intersect @ sK5 @ Y1 @ Y3))))))))))))))))),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f199])).
% 3.94/0.84 thf(f199,plain,(
% 3.94/0.84 ($false = ((exists_in_world @ sK5 @ sK4) => (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK4 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ Y1 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ sK5 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (intersect @ sK5 @ Y1 @ Y3)))))))))))))))))),
% 3.94/0.84 inference(beta_eta_normalization,[],[f198])).
% 3.94/0.84 thf(f198,plain,(
% 3.94/0.84 (((^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4))))))))))))))))) @ sK5) = $false)),
% 3.94/0.84 inference(sigma_clausification,[],[f191])).
% 3.94/0.84 thf(f191,plain,(
% 3.94/0.84 ((!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4)))))))))))))))))) = $false)),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f190])).
% 3.94/0.84 thf(f190,plain,(
% 3.94/0.84 (((~ (rel_s4 @ sK2 @ sK4)) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ sK4) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ sK4 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4))))))))))))))))))) = $false)),
% 3.94/0.84 inference(beta_eta_normalization,[],[f189])).
% 3.94/0.84 thf(f189,plain,(
% 3.94/0.84 (((^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y3 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y1 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (intersect @ Y1 @ Y3 @ Y5)))))))))))))))))))) @ sK4) = $false)),
% 3.94/0.84 inference(sigma_clausification,[],[f182])).
% 3.94/0.84 thf(f182,plain,(
% 3.94/0.84 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK2 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y3 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y1 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (intersect @ Y1 @ Y3 @ Y5))))))))))))))))))))) = $false)),
% 3.94/0.84 inference(beta_eta_normalization,[],[f181])).
% 3.94/0.84 thf(f181,plain,(
% 3.94/0.84 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6)))))))))))))))))))))) @ sK2) = $false)),
% 3.94/0.84 inference(sigma_clausification,[],[f180])).
% 3.94/0.84 thf(f180,plain,(
% 3.94/0.84 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6))))))))))))))))))))))) = $false)),
% 3.94/0.84 inference(not_proxy_clausification,[],[f173])).
% 3.94/0.84 thf(f173,plain,(
% 3.94/0.84 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6)))))))))))))))))))))))) = $true)),
% 3.94/0.84 inference(boolean_simplification,[],[f172])).
% 3.94/0.84 thf(f172,plain,(
% 3.94/0.84 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6)))))))))))))))))))))))))),
% 3.94/0.84 inference(beta_eta_normalization,[],[f171])).
% 3.94/0.84 thf(f171,plain,(
% 3.94/0.84 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ 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]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ (intersect @ Y0 @ Y1)) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : mu > $i > $o]: ((^[Y4 : $i]: (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))) @ (^[Y3 : mu]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ (Y2 @ 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]: ((~ (rel_s4 @ Y4 @ Y5)) | (Y3 @ Y5))))))) @ (member @ Y2 @ Y0)) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (Y3 @ Y5))))))) @ (member @ Y2 @ Y1))))))))))))))) = $true)),
% 3.94/0.84 inference(definition_unfolding,[],[f154,f156,f132,f151,f132,f151,f132,f159,f132,f164,f158,f132,f132])).
% 3.94/0.84 thf(f158,plain,(
% 3.94/0.84 (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)))))))),
% 3.94/0.84 inference(definition_unfolding,[],[f145,f155,f148,f155,f155])).
% 3.94/0.84 thf(f148,plain,(
% 3.94/0.84 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 3.94/0.84 inference(cnf_transformation,[],[f115])).
% 3.94/0.84 thf(f115,plain,(
% 3.94/0.84 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 3.94/0.84 inference(fool_elimination,[],[f114])).
% 3.94/0.84 thf(f114,plain,(
% 3.94/0.84 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 3.94/0.84 inference(rectify,[],[f3])).
% 3.94/0.84 thf(f3,axiom,(
% 3.94/0.84 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 3.94/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 3.94/0.84 thf(f155,plain,(
% 3.94/0.84 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 3.94/0.84 inference(cnf_transformation,[],[f105])).
% 3.94/0.84 thf(f105,plain,(
% 3.94/0.84 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 3.94/0.84 inference(fool_elimination,[],[f104])).
% 3.94/0.84 thf(f104,plain,(
% 3.94/0.84 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 3.94/0.84 inference(rectify,[],[f2])).
% 3.94/0.84 thf(f2,axiom,(
% 3.94/0.84 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 3.94/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 3.94/0.84 thf(f145,plain,(
% 3.94/0.84 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 3.94/0.84 inference(cnf_transformation,[],[f101])).
% 3.94/0.84 thf(f101,plain,(
% 3.94/0.84 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 3.94/0.84 inference(fool_elimination,[],[f100])).
% 3.94/0.84 thf(f100,plain,(
% 3.94/0.84 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))),
% 3.94/0.84 inference(rectify,[],[f8])).
% 3.94/0.84 thf(f8,axiom,(
% 3.94/0.84 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))),
% 3.94/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
% 3.94/0.84 thf(f164,plain,(
% 3.94/0.84 (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)))))))),
% 3.94/0.84 inference(definition_unfolding,[],[f152,f155,f151,f155])).
% 3.94/0.84 thf(f152,plain,(
% 3.94/0.84 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 3.94/0.84 inference(cnf_transformation,[],[f61])).
% 3.94/0.84 thf(f61,plain,(
% 3.94/0.84 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 3.94/0.84 inference(fool_elimination,[],[f60])).
% 3.94/0.84 thf(f60,plain,(
% 3.94/0.84 ((^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))) = mexists_ind)),
% 3.94/0.84 inference(rectify,[],[f16])).
% 3.94/0.84 thf(f16,axiom,(
% 3.94/0.84 ((^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))) = mexists_ind)),
% 3.94/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind)).
% 3.94/0.84 thf(f159,plain,(
% 3.94/0.84 (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)))))),
% 3.94/0.84 inference(definition_unfolding,[],[f131,f148,f155])).
% 3.94/0.84 thf(f131,plain,(
% 3.94/0.84 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 3.94/0.84 inference(cnf_transformation,[],[f65])).
% 3.94/0.84 thf(f65,plain,(
% 3.94/0.84 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 3.94/0.84 inference(fool_elimination,[],[f64])).
% 3.94/0.84 thf(f64,plain,(
% 3.94/0.84 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 3.94/0.84 inference(rectify,[],[f9])).
% 3.94/0.84 thf(f9,axiom,(
% 3.94/0.84 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 3.94/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 3.94/0.84 thf(f151,plain,(
% 3.94/0.84 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 3.94/0.84 inference(cnf_transformation,[],[f113])).
% 3.94/0.84 thf(f113,plain,(
% 3.94/0.84 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 3.94/0.84 inference(fool_elimination,[],[f112])).
% 3.94/0.84 thf(f112,plain,(
% 3.94/0.84 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : ((exists_in_world @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_ind)),
% 3.94/0.84 inference(rectify,[],[f15])).
% 3.94/0.84 thf(f15,axiom,(
% 3.94/0.84 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : ((exists_in_world @ X0 @ X2) => (X3 @ X0 @ X2)))) = mforall_ind)),
% 3.94/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)).
% 3.94/0.84 thf(f132,plain,(
% 3.94/0.84 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 3.94/0.84 inference(cnf_transformation,[],[f88])).
% 3.94/0.84 thf(f88,plain,(
% 3.94/0.84 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 3.94/0.84 inference(fool_elimination,[],[f87])).
% 3.94/0.84 thf(f87,plain,(
% 3.94/0.84 (mbox_s4 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s4 @ X1 @ X2)))))),
% 3.94/0.84 inference(rectify,[],[f32])).
% 3.94/0.84 thf(f32,axiom,(
% 3.94/0.84 (mbox_s4 = (^[X3 : $i > $o, X2 : $i] : (! [X6] : ((X3 @ X6) | ~(rel_s4 @ X2 @ X6)))))),
% 3.94/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s4)).
% 3.94/0.84 thf(f156,plain,(
% 3.94/0.84 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 3.94/0.84 inference(cnf_transformation,[],[f86])).
% 3.94/0.84 thf(f86,plain,(
% 3.94/0.84 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 3.94/0.84 inference(fool_elimination,[],[f85])).
% 3.94/0.84 thf(f85,plain,(
% 3.94/0.84 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 3.94/0.84 inference(rectify,[],[f28])).
% 3.94/0.84 thf(f28,axiom,(
% 3.94/0.84 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 3.94/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 3.94/0.84 thf(f154,plain,(
% 3.94/0.84 ($true = (~ (mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mbox_s4 @ (intersect @ Y0 @ Y1)) @ (mexists_ind @ (^[Y2 : mu]: (mand @ (mbox_s4 @ (member @ Y2 @ Y0)) @ (mbox_s4 @ (member @ Y2 @ Y1))))))))))))))))),
% 3.94/0.84 inference(cnf_transformation,[],[f45])).
% 3.94/0.84 thf(f45,plain,(
% 3.94/0.84 ($true = (~ (mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mbox_s4 @ (intersect @ Y0 @ Y1)) @ (mexists_ind @ (^[Y2 : mu]: (mand @ (mbox_s4 @ (member @ Y2 @ Y0)) @ (mbox_s4 @ (member @ Y2 @ Y1))))))))))))))))),
% 3.94/0.84 inference(fool_elimination,[],[f44])).
% 3.94/0.84 thf(f44,plain,(
% 3.94/0.84 ~(mvalid @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (mimplies @ (mbox_s4 @ (intersect @ X0 @ X1)) @ (mexists_ind @ (^[X2 : mu] : (mand @ (mbox_s4 @ (member @ X2 @ X0)) @ (mbox_s4 @ (member @ X2 @ X1))))))))))))))),
% 3.94/0.84 inference(rectify,[],[f40])).
% 3.94/0.84 thf(f40,negated_conjecture,(
% 3.94/0.84 ~(mvalid @ (mbox_s4 @ (mforall_ind @ (^[X11 : mu] : (mbox_s4 @ (mforall_ind @ (^[X12 : mu] : (mbox_s4 @ (mimplies @ (mbox_s4 @ (intersect @ X11 @ X12)) @ (mexists_ind @ (^[X13 : mu] : (mand @ (mbox_s4 @ (member @ X13 @ X11)) @ (mbox_s4 @ (member @ X13 @ X12))))))))))))))),
% 3.94/0.84 inference(negated_conjecture,[],[f39])).
% 3.94/0.84 thf(f39,conjecture,(
% 3.94/0.84 (mvalid @ (mbox_s4 @ (mforall_ind @ (^[X11 : mu] : (mbox_s4 @ (mforall_ind @ (^[X12 : mu] : (mbox_s4 @ (mimplies @ (mbox_s4 @ (intersect @ X11 @ X12)) @ (mexists_ind @ (^[X13 : mu] : (mand @ (mbox_s4 @ (member @ X13 @ X11)) @ (mbox_s4 @ (member @ X13 @ X12))))))))))))))),
% 3.94/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th15)).
% 3.94/0.84 thf(f748,plain,(
% 3.94/0.84 spl0_3 | ~spl0_12),
% 3.94/0.84 inference(avatar_contradiction_clause,[],[f747])).
% 3.94/0.84 thf(f747,plain,(
% 3.94/0.84 $false | (spl0_3 | ~spl0_12)),
% 3.94/0.84 inference(trivial_inequality_removal,[],[f746])).
% 3.94/0.84 thf(f746,plain,(
% 3.94/0.84 ($true = $false) | (spl0_3 | ~spl0_12)),
% 3.94/0.84 inference(backward_demodulation,[],[f201,f745])).
% 3.94/0.84 thf(f745,plain,(
% 3.94/0.84 ($false = (exists_in_world @ sK5 @ sK4)) | (spl0_3 | ~spl0_12)),
% 3.94/0.84 inference(subsumption_resolution,[],[f733,f329])).
% 3.94/0.84 thf(f329,plain,(
% 3.94/0.84 ((rel_s4 @ sK4 @ sK6) != $false) | spl0_3),
% 3.94/0.84 inference(avatar_component_clause,[],[f328])).
% 3.94/0.84 thf(f328,plain,(
% 3.94/0.84 spl0_3 <=> ((rel_s4 @ sK4 @ sK6) = $false)),
% 3.94/0.84 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 3.94/0.84 thf(f733,plain,(
% 3.94/0.84 ($false = (exists_in_world @ sK5 @ sK4)) | ((rel_s4 @ sK4 @ sK6) = $false) | ~spl0_12),
% 3.94/0.84 inference(trivial_inequality_removal,[],[f714])).
% 3.94/0.84 thf(f714,plain,(
% 3.94/0.84 ($true = $false) | ((rel_s4 @ sK4 @ sK6) = $false) | ($false = (exists_in_world @ sK5 @ sK4)) | ~spl0_12),
% 3.94/0.84 inference(superposition,[],[f708,f193])).
% 3.94/0.84 thf(f193,plain,(
% 3.94/0.84 ($true = (rel_s4 @ sK2 @ sK4))),
% 3.94/0.84 inference(not_proxy_clausification,[],[f192])).
% 3.94/0.84 thf(f192,plain,(
% 3.94/0.84 ($false = (~ (rel_s4 @ sK2 @ sK4)))),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f190])).
% 3.94/0.84 thf(f708,plain,(
% 3.94/0.84 ( ! [X0 : $i,X1 : $i] : (($false = (rel_s4 @ X1 @ X0)) | ((rel_s4 @ X0 @ sK6) = $false) | ((exists_in_world @ sK5 @ X0) = $false)) ) | ~spl0_12),
% 3.94/0.84 inference(avatar_component_clause,[],[f707])).
% 3.94/0.84 thf(f707,plain,(
% 3.94/0.84 spl0_12 <=> ! [X0,X1] : (((rel_s4 @ X0 @ sK6) = $false) | ($false = (rel_s4 @ X1 @ X0)) | ((exists_in_world @ sK5 @ X0) = $false))),
% 3.94/0.84 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 3.94/0.84 thf(f201,plain,(
% 3.94/0.84 ($true = (exists_in_world @ sK5 @ sK4))),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f199])).
% 3.94/0.84 thf(f709,plain,(
% 3.94/0.84 spl0_11 | spl0_12),
% 3.94/0.84 inference(avatar_split_clause,[],[f696,f707,f703])).
% 3.94/0.84 thf(f696,plain,(
% 3.94/0.84 ( ! [X0 : $i,X1 : $i] : (((rel_s4 @ X0 @ sK6) = $false) | ((exists_in_world @ sK5 @ X0) = $false) | ((exists_in_world @ sK7 @ sK6) = $false) | ($false = (rel_s4 @ X1 @ X0))) )),
% 3.94/0.84 inference(trivial_inequality_removal,[],[f693])).
% 3.94/0.84 thf(f693,plain,(
% 3.94/0.84 ( ! [X0 : $i,X1 : $i] : (((exists_in_world @ sK5 @ X0) = $false) | ($true = $false) | ($false = (rel_s4 @ X1 @ X0)) | ((rel_s4 @ X0 @ sK6) = $false) | ((exists_in_world @ sK7 @ sK6) = $false)) )),
% 3.94/0.84 inference(superposition,[],[f216,f455])).
% 3.94/0.84 thf(f455,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i,X5 : mu] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X4 @ Y0)) | ((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X5 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X3 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (intersect @ X3 @ X5 @ Y1)))))))))) | ((rel_s4 @ X2 @ X4) = $false) | ((exists_in_world @ X5 @ X4) = $false) | ($false = (exists_in_world @ X3 @ X2)) | ((rel_s4 @ X1 @ X2) = $false)) )),
% 3.94/0.84 inference(not_proxy_clausification,[],[f452])).
% 3.94/0.84 thf(f452,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i,X5 : mu] : (((rel_s4 @ X2 @ X4) = $false) | ($false = (exists_in_world @ X3 @ X2)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X4 @ Y0)) | ((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X5 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X3 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (intersect @ X3 @ X5 @ Y1)))))))))) = $false) | ((rel_s4 @ X1 @ X2) = $false) | ((exists_in_world @ X5 @ X4) = $false)) )),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f451])).
% 3.94/0.84 thf(f451,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i,X5 : mu] : (((rel_s4 @ X2 @ X4) = $false) | ((rel_s4 @ X1 @ X2) = $false) | ((exists_in_world @ X5 @ X4) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X4 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (intersect @ X3 @ X5 @ Y1)))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X5 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X3 @ Y2)))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X4 @ Y0)) | ((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X5 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X3 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (intersect @ X3 @ X5 @ Y1))))))))))) = $false) | ($false = (exists_in_world @ X3 @ X2))) )),
% 3.94/0.84 inference(not_proxy_clausification,[],[f450])).
% 3.94/0.84 thf(f450,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i,X5 : mu] : (((rel_s4 @ X1 @ X2) = $false) | ($true = (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X4 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (intersect @ X3 @ X5 @ Y1)))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X5 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X3 @ Y2)))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X4 @ Y0)) | ((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X5 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X3 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (intersect @ X3 @ X5 @ Y1))))))))))))) | ($false = (exists_in_world @ X3 @ X2)) | ((exists_in_world @ X5 @ X4) = $false) | ((rel_s4 @ X2 @ X4) = $false)) )),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f449])).
% 3.94/0.84 thf(f449,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i,X5 : mu] : (($true = ((exists_in_world @ X5 @ X4) => (~ ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X4 @ Y0)) | ((!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (intersect @ X3 @ X5 @ Y1)))) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X5 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X3 @ Y2)))))))))))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X4 @ Y0)) | ((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X5 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ X3 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (intersect @ X3 @ X5 @ Y1)))))))))))))) | ((rel_s4 @ X2 @ X4) = $false) | ((rel_s4 @ X1 @ X2) = $false) | ($false = (exists_in_world @ X3 @ X2))) )),
% 3.94/0.84 inference(beta_eta_normalization,[],[f448])).
% 3.94/0.84 thf(f448,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i,X5 : mu] : (((rel_s4 @ X1 @ X2) = $false) | ($false = (exists_in_world @ X3 @ X2)) | ($true = ((^[Y0 : mu]: ((exists_in_world @ Y0 @ X4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X4 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ X3 @ Y0 @ Y2)))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ X3 @ Y3)))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X4 @ Y1)) | ((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ X3 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ X3 @ Y0 @ Y2)))))))))))))) @ X5)) | ((rel_s4 @ X2 @ X4) = $false)) )),
% 3.94/0.84 inference(pi_clausification,[],[f429])).
% 3.94/0.84 thf(f429,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X4 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ X3 @ Y0 @ Y2)))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ X3 @ Y3)))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X4 @ Y1)) | ((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ X3 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ X3 @ Y0 @ Y2)))))))))))))))) | ($false = (exists_in_world @ X3 @ X2)) | ((rel_s4 @ X2 @ X4) = $false) | ((rel_s4 @ X1 @ X2) = $false)) )),
% 3.94/0.84 inference(not_proxy_clausification,[],[f428])).
% 3.94/0.84 thf(f428,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (((rel_s4 @ X1 @ X2) = $false) | ($false = (exists_in_world @ X3 @ X2)) | ($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X4 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ X3 @ Y0 @ Y2)))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ X3 @ Y3)))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X4 @ Y1)) | ((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ X3 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ X3 @ Y0 @ Y2)))))))))))))))) | ($true = (~ (rel_s4 @ X2 @ X4)))) )),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f427])).
% 3.94/0.84 thf(f427,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (($true = ((~ (rel_s4 @ X2 @ X4)) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X4) => (~ ((~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X4 @ Y1)) | ((!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ X3 @ Y0 @ Y2)))) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ X3 @ Y3)))))))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X4 @ Y1)) | ((~ (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ Y0 @ Y3))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (member @ Y2 @ X3 @ Y3)))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (intersect @ X3 @ Y0 @ Y2))))))))))))))))) | ($false = (exists_in_world @ X3 @ X2)) | ((rel_s4 @ X1 @ X2) = $false)) )),
% 3.94/0.84 inference(beta_eta_normalization,[],[f426])).
% 3.94/0.84 thf(f426,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: ((~ (rel_s4 @ X2 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (intersect @ X3 @ Y1 @ Y3)))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ Y1 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ X3 @ Y4)))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ Y1 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ X3 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (intersect @ X3 @ Y1 @ Y3))))))))))))))))) @ X4)) | ($false = (exists_in_world @ X3 @ X2)) | ((rel_s4 @ X1 @ X2) = $false)) )),
% 3.94/0.84 inference(pi_clausification,[],[f375])).
% 3.94/0.84 thf(f375,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X2 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (intersect @ X3 @ Y1 @ Y3)))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ Y1 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ X3 @ Y4)))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ Y1 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ X3 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (intersect @ X3 @ Y1 @ Y3)))))))))))))))))) = $true) | ((rel_s4 @ X1 @ X2) = $false) | ($false = (exists_in_world @ X3 @ X2))) )),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f374])).
% 3.94/0.84 thf(f374,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i] : (($true = ((exists_in_world @ X3 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X2 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (intersect @ X3 @ Y1 @ Y3)))) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ Y1 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ X3 @ Y4)))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | ((~ (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ Y1 @ Y4))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | (member @ Y3 @ X3 @ Y4)))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (intersect @ X3 @ Y1 @ Y3)))))))))))))))))))) | ((rel_s4 @ X1 @ X2) = $false)) )),
% 3.94/0.84 inference(beta_eta_normalization,[],[f373])).
% 3.94/0.84 thf(f373,plain,(
% 3.94/0.84 ( ! [X2 : $i,X3 : mu,X1 : $i] : (((rel_s4 @ X1 @ X2) = $false) | (((^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X2 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4)))) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4)))))))))))))))))))) @ X3) = $true)) )),
% 3.94/0.84 inference(pi_clausification,[],[f346])).
% 3.94/0.84 thf(f346,plain,(
% 3.94/0.84 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X2 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4)))) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4)))))))))))))))))))))) | ((rel_s4 @ X1 @ X2) = $false)) )),
% 3.94/0.84 inference(not_proxy_clausification,[],[f345])).
% 3.94/0.84 thf(f345,plain,(
% 3.94/0.84 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X2 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4)))) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4)))))))))))))))))))))) | ((~ (rel_s4 @ X1 @ X2)) = $true)) )),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f344])).
% 3.94/0.84 thf(f344,plain,(
% 3.94/0.84 ( ! [X2 : $i,X1 : $i] : (($true = ((~ (rel_s4 @ X1 @ X2)) | (!! @ mu @ (^[Y0 : mu]: ((exists_in_world @ Y0 @ X2) => (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ X2 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (~ ((~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4)))) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | ((~ (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y2 @ Y5))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | (member @ Y4 @ Y0 @ Y5)))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (intersect @ Y0 @ Y2 @ Y4)))))))))))))))))))))))) )),
% 3.94/0.84 inference(beta_eta_normalization,[],[f343])).
% 3.94/0.84 thf(f343,plain,(
% 3.94/0.84 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (intersect @ Y1 @ Y3 @ Y5)))) | (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y3 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y1 @ Y6)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y3 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y1 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (intersect @ Y1 @ Y3 @ Y5))))))))))))))))))))))) @ X2) = $true)) )),
% 3.94/0.84 inference(pi_clausification,[],[f326])).
% 3.94/0.84 thf(f326,plain,(
% 3.94/0.84 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ X1 @ Y0)) | (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (!! @ mu @ (^[Y3 : mu]: ((exists_in_world @ Y3 @ Y2) => (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (intersect @ Y1 @ Y3 @ Y5)))) | (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y3 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y1 @ Y6)))))))))))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y2 @ Y4)) | ((~ (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => ((~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y3 @ Y6))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y4 @ Y6)) | (member @ Y5 @ Y1 @ Y6)))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (intersect @ Y1 @ Y3 @ Y5)))))))))))))))))))))))) = $true)) )),
% 3.94/0.84 inference(beta_eta_normalization,[],[f325])).
% 3.94/0.84 thf(f325,plain,(
% 3.94/0.84 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (~ ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6)))) | (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6))))))))))))))))))))))))) @ X1))) )),
% 3.94/0.84 inference(pi_clausification,[],[f176])).
% 3.94/0.84 thf(f176,plain,(
% 3.94/0.84 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (~ ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6)))) | (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6)))))))))))))))))))))))))) = $true)),
% 3.94/0.84 inference(boolean_simplification,[],[f175])).
% 3.94/0.84 thf(f175,plain,(
% 3.94/0.84 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (~ ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6)))) | (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6)))))))))))))))))))))))))))),
% 3.94/0.84 inference(boolean_simplification,[],[f174])).
% 3.94/0.84 thf(f174,plain,(
% 3.94/0.84 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y1 @ Y3)) | (!! @ mu @ (^[Y4 : mu]: ((exists_in_world @ Y4 @ Y3) => (~ ((~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6)))) | (~ (~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))))))))))) | (~ (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y3 @ Y5)) | ((~ (!! @ mu @ (^[Y6 : mu]: ((exists_in_world @ Y6 @ Y5) => (~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y4 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y5 @ Y7)) | (member @ Y6 @ Y2 @ Y7)))))))))))) | (~ (!! @ $i @ (^[Y6 : $i]: ((~ (rel_s4 @ Y5 @ Y6)) | (intersect @ Y2 @ Y4 @ Y6)))))))))))))))))))))))))) = $true)),
% 3.94/0.84 inference(beta_eta_normalization,[],[f170])).
% 3.94/0.84 thf(f170,plain,(
% 3.94/0.84 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (rel_s4 @ Y2 @ Y3)) | (Y1 @ 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 > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ (intersect @ Y0 @ Y1)) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : mu > $i > $o]: ((^[Y4 : $i]: (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))) @ (^[Y3 : mu]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ (Y2 @ 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]: ((~ (rel_s4 @ Y4 @ Y5)) | (Y3 @ Y5))))))) @ (member @ Y2 @ Y0)) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (Y3 @ Y5))))))) @ (member @ Y2 @ Y1))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : mu > $i > $o]: ((^[Y4 : $i]: (!! @ mu @ (^[Y5 : mu]: ((exists_in_world @ Y5 @ Y4) => (Y3 @ Y5 @ Y4))))))) @ (^[Y3 : mu]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ (Y2 @ 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]: ((~ (rel_s4 @ Y4 @ Y5)) | (Y3 @ Y5))))))) @ (member @ Y2 @ Y0)) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (rel_s4 @ Y4 @ Y5)) | (Y3 @ Y5))))))) @ (member @ Y2 @ Y1))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ (intersect @ Y0 @ Y1)))))))))))) = $true)),
% 3.94/0.84 inference(definition_unfolding,[],[f146,f156,f132,f151,f132,f151,f158,f132,f159,f132,f164,f158,f132,f132,f132,f159,f164,f158,f132,f132,f132])).
% 3.94/0.84 thf(f146,plain,(
% 3.94/0.84 ($true = (mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (intersect @ Y0 @ Y1)) @ (mexists_ind @ (^[Y2 : mu]: (mand @ (mbox_s4 @ (member @ Y2 @ Y0)) @ (mbox_s4 @ (member @ Y2 @ Y1))))))) @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y2 : mu]: (mand @ (mbox_s4 @ (member @ Y2 @ Y0)) @ (mbox_s4 @ (member @ Y2 @ Y1))))) @ (mbox_s4 @ (intersect @ Y0 @ Y1)))))))))))))),
% 3.94/0.84 inference(cnf_transformation,[],[f76])).
% 3.94/0.84 thf(f76,plain,(
% 3.94/0.84 ($true = (mvalid @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (intersect @ Y0 @ Y1)) @ (mexists_ind @ (^[Y2 : mu]: (mand @ (mbox_s4 @ (member @ Y2 @ Y0)) @ (mbox_s4 @ (member @ Y2 @ Y1))))))) @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[Y2 : mu]: (mand @ (mbox_s4 @ (member @ Y2 @ Y0)) @ (mbox_s4 @ (member @ Y2 @ Y1))))) @ (mbox_s4 @ (intersect @ Y0 @ Y1)))))))))))))),
% 3.94/0.84 inference(fool_elimination,[],[f75])).
% 3.94/0.84 thf(f75,plain,(
% 3.94/0.84 (mvalid @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (intersect @ X0 @ X1)) @ (mexists_ind @ (^[X2 : mu] : (mand @ (mbox_s4 @ (member @ X2 @ X0)) @ (mbox_s4 @ (member @ X2 @ X1))))))) @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X3 : mu] : (mand @ (mbox_s4 @ (member @ X3 @ X0)) @ (mbox_s4 @ (member @ X3 @ X1))))) @ (mbox_s4 @ (intersect @ X0 @ X1))))))))))))),
% 3.94/0.84 inference(rectify,[],[f37])).
% 3.94/0.84 thf(f37,axiom,(
% 3.94/0.84 (mvalid @ (mbox_s4 @ (mforall_ind @ (^[X11 : mu] : (mbox_s4 @ (mforall_ind @ (^[X12 : mu] : (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (intersect @ X11 @ X12)) @ (mexists_ind @ (^[X13 : mu] : (mand @ (mbox_s4 @ (member @ X13 @ X11)) @ (mbox_s4 @ (member @ X13 @ X12))))))) @ (mbox_s4 @ (mimplies @ (mexists_ind @ (^[X13 : mu] : (mand @ (mbox_s4 @ (member @ X13 @ X11)) @ (mbox_s4 @ (member @ X13 @ X12))))) @ (mbox_s4 @ (intersect @ X11 @ X12))))))))))))),
% 3.94/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn)).
% 3.94/0.84 thf(f216,plain,(
% 3.94/0.84 ((!! @ $i @ (^[Y0 : $i]: ((~ (rel_s4 @ sK6 @ Y0)) | ((~ (!! @ mu @ (^[Y1 : mu]: ((exists_in_world @ Y1 @ Y0) => ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ sK7 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y0 @ Y2)) | (member @ Y1 @ sK5 @ Y2)))))))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | (intersect @ sK5 @ sK7 @ Y1))))))))) = $false)),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f215])).
% 3.94/0.84 thf(f337,plain,(
% 3.94/0.84 ~spl0_3),
% 3.94/0.84 inference(avatar_contradiction_clause,[],[f336])).
% 3.94/0.84 thf(f336,plain,(
% 3.94/0.84 $false | ~spl0_3),
% 3.94/0.84 inference(trivial_inequality_removal,[],[f335])).
% 3.94/0.84 thf(f335,plain,(
% 3.94/0.84 ($true = $false) | ~spl0_3),
% 3.94/0.84 inference(backward_demodulation,[],[f211,f330])).
% 3.94/0.84 thf(f330,plain,(
% 3.94/0.84 ((rel_s4 @ sK4 @ sK6) = $false) | ~spl0_3),
% 3.94/0.84 inference(avatar_component_clause,[],[f328])).
% 3.94/0.84 thf(f211,plain,(
% 3.94/0.84 ($true = (rel_s4 @ sK4 @ sK6))),
% 3.94/0.84 inference(not_proxy_clausification,[],[f210])).
% 3.94/0.84 thf(f210,plain,(
% 3.94/0.84 ((~ (rel_s4 @ sK4 @ sK6)) = $false)),
% 3.94/0.84 inference(binary_proxy_clausification,[],[f208])).
% 3.94/0.84 % SZS output end Proof for theBenchmark
% 3.94/0.84 % (15320)------------------------------
% 3.94/0.84 % (15320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.94/0.84 % (15320)Termination reason: Refutation
% 3.94/0.84
% 3.94/0.84 % (15320)Memory used [KB]: 6908
% 3.94/0.84 % (15320)Time elapsed: 0.148 s
% 3.94/0.84 % (15320)Instructions burned: 296 (million)
% 3.94/0.84 % (15320)------------------------------
% 3.94/0.84 % (15320)------------------------------
% 3.94/0.84 % (15265)Success in time 0.519 s
% 3.94/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------