TSTP Solution File: SWV097^7 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV097^7 : 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 : n018.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 05:53:57 EDT 2024
% Result : Theorem 2.53s 0.76s
% Output : Refutation 2.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV097^7 : TPTP v8.2.0. Released v5.5.0.
% 0.03/0.15 % 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
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 06:57:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.41 % (9269)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.41 % (9270)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)
% 0.23/0.41 % (9266)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.41 % (9267)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)
% 0.23/0.41 % (9270)Instruction limit reached!
% 0.23/0.41 % (9270)------------------------------
% 0.23/0.41 % (9270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (9270)Termination reason: Unknown
% 0.23/0.41 % (9270)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (9270)Memory used [KB]: 1407
% 0.23/0.41 % (9270)Time elapsed: 0.004 s
% 0.23/0.41 % (9270)Instructions burned: 5 (million)
% 0.23/0.41 % (9270)------------------------------
% 0.23/0.41 % (9270)------------------------------
% 0.23/0.41 % (9266)Instruction limit reached!
% 0.23/0.41 % (9266)------------------------------
% 0.23/0.41 % (9266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (9266)Termination reason: Unknown
% 0.23/0.41 % (9266)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (9266)Memory used [KB]: 1407
% 0.23/0.41 % (9266)Time elapsed: 0.003 s
% 0.23/0.41 % (9266)Instructions burned: 3 (million)
% 0.23/0.41 % (9266)------------------------------
% 0.23/0.41 % (9266)------------------------------
% 0.23/0.41 % (9267)Instruction limit reached!
% 0.23/0.41 % (9267)------------------------------
% 0.23/0.41 % (9267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.41 % (9267)Termination reason: Unknown
% 0.23/0.41 % (9267)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (9267)Memory used [KB]: 1407
% 0.23/0.41 % (9267)Time elapsed: 0.003 s
% 0.23/0.41 % (9267)Instructions burned: 3 (million)
% 0.23/0.41 % (9267)------------------------------
% 0.23/0.41 % (9267)------------------------------
% 0.23/0.42 % (9264)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)
% 0.23/0.42 % (9264)Instruction limit reached!
% 0.23/0.42 % (9264)------------------------------
% 0.23/0.42 % (9264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (9264)Termination reason: Unknown
% 0.23/0.42 % (9264)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (9264)Memory used [KB]: 1535
% 0.23/0.42 % (9264)Time elapsed: 0.004 s
% 0.23/0.42 % (9264)Instructions burned: 5 (million)
% 0.23/0.42 % (9264)------------------------------
% 0.23/0.42 % (9264)------------------------------
% 0.23/0.42 % (9269)Instruction limit reached!
% 0.23/0.42 % (9269)------------------------------
% 0.23/0.42 % (9269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (9269)Termination reason: Unknown
% 0.23/0.42 % (9269)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (9269)Memory used [KB]: 1535
% 0.23/0.42 % (9269)Time elapsed: 0.009 s
% 0.23/0.42 % (9269)Instructions burned: 19 (million)
% 0.23/0.42 % (9269)------------------------------
% 0.23/0.42 % (9269)------------------------------
% 0.23/0.42 % (9268)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)
% 0.23/0.42 % (9265)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)
% 0.23/0.43 % (9263)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.43 % (9272)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)
% 0.23/0.43 % (9273)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)
% 0.23/0.43 % (9274)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)
% 0.23/0.43 % (9273)Instruction limit reached!
% 0.23/0.43 % (9273)------------------------------
% 0.23/0.43 % (9273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (9273)Termination reason: Unknown
% 0.23/0.43 % (9273)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (9273)Memory used [KB]: 1407
% 0.23/0.43 % (9273)Time elapsed: 0.003 s
% 0.23/0.43 % (9273)Instructions burned: 3 (million)
% 0.23/0.43 % (9273)------------------------------
% 0.23/0.43 % (9273)------------------------------
% 0.23/0.43 % (9275)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.43 % (9272)Instruction limit reached!
% 0.23/0.43 % (9272)------------------------------
% 0.23/0.43 % (9272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (9272)Termination reason: Unknown
% 0.23/0.43 % (9272)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (9272)Memory used [KB]: 1535
% 0.23/0.43 % (9272)Time elapsed: 0.008 s
% 0.23/0.43 % (9272)Instructions burned: 16 (million)
% 0.23/0.43 % (9272)------------------------------
% 0.23/0.43 % (9272)------------------------------
% 0.23/0.43 % (9275)Instruction limit reached!
% 0.23/0.43 % (9275)------------------------------
% 0.23/0.43 % (9275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (9275)Termination reason: Unknown
% 0.23/0.43 % (9275)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (9275)Memory used [KB]: 1535
% 0.23/0.43 % (9275)Time elapsed: 0.005 s
% 0.23/0.43 % (9275)Instructions burned: 9 (million)
% 0.23/0.43 % (9275)------------------------------
% 0.23/0.43 % (9275)------------------------------
% 0.23/0.44 % (9265)Instruction limit reached!
% 0.23/0.44 % (9265)------------------------------
% 0.23/0.44 % (9265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (9265)Termination reason: Unknown
% 0.23/0.44 % (9265)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (9265)Memory used [KB]: 1535
% 0.23/0.44 % (9265)Time elapsed: 0.014 s
% 0.23/0.44 % (9265)Instructions burned: 27 (million)
% 0.23/0.44 % (9265)------------------------------
% 0.23/0.44 % (9265)------------------------------
% 0.23/0.44 % (9271)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)
% 0.23/0.44 % (9276)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.45 % (9278)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)
% 0.23/0.45 % (9277)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)
% 0.23/0.45 % (9278)Instruction limit reached!
% 0.23/0.45 % (9278)------------------------------
% 0.23/0.45 % (9278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (9278)Termination reason: Unknown
% 0.23/0.45 % (9278)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (9278)Memory used [KB]: 1407
% 0.23/0.45 % (9278)Time elapsed: 0.003 s
% 0.23/0.45 % (9278)Instructions burned: 5 (million)
% 0.23/0.45 % (9278)------------------------------
% 0.23/0.45 % (9278)------------------------------
% 0.23/0.45 % (9277)Instruction limit reached!
% 0.23/0.45 % (9277)------------------------------
% 0.23/0.45 % (9277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (9277)Termination reason: Unknown
% 0.23/0.45 % (9277)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (9277)Memory used [KB]: 1407
% 0.23/0.45 % (9277)Time elapsed: 0.004 s
% 0.23/0.45 % (9277)Instructions burned: 4 (million)
% 0.23/0.45 % (9277)------------------------------
% 0.23/0.45 % (9277)------------------------------
% 0.23/0.45 % (9279)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)
% 0.23/0.45 % (9276)Instruction limit reached!
% 0.23/0.45 % (9276)------------------------------
% 0.23/0.45 % (9276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (9276)Termination reason: Unknown
% 0.23/0.45 % (9276)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (9276)Memory used [KB]: 1535
% 0.23/0.45 % (9276)Time elapsed: 0.009 s
% 0.23/0.45 % (9276)Instructions burned: 18 (million)
% 0.23/0.45 % (9276)------------------------------
% 0.23/0.45 % (9276)------------------------------
% 0.23/0.45 % (9279)Instruction limit reached!
% 0.23/0.45 % (9279)------------------------------
% 0.23/0.45 % (9279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (9279)Termination reason: Unknown
% 0.23/0.45 % (9279)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (9279)Memory used [KB]: 1535
% 0.23/0.45 % (9279)Time elapsed: 0.006 s
% 0.23/0.45 % (9279)Instructions burned: 9 (million)
% 0.23/0.45 % (9279)------------------------------
% 0.23/0.45 % (9279)------------------------------
% 0.23/0.46 % (9271)Instruction limit reached!
% 0.23/0.46 % (9271)------------------------------
% 0.23/0.46 % (9271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (9271)Termination reason: Unknown
% 0.23/0.46 % (9271)Termination phase: Property scanning
% 0.23/0.46
% 0.23/0.46 % (9271)Memory used [KB]: 2046
% 0.23/0.46 % (9271)Time elapsed: 0.018 s
% 0.23/0.46 % (9271)Instructions burned: 38 (million)
% 0.23/0.46 % (9271)------------------------------
% 0.23/0.46 % (9271)------------------------------
% 0.23/0.46 % (9280)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)
% 0.23/0.46 % (9280)Instruction limit reached!
% 0.23/0.46 % (9280)------------------------------
% 0.23/0.46 % (9280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (9280)Termination reason: Unknown
% 0.23/0.46 % (9280)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (9280)Memory used [KB]: 1407
% 0.23/0.46 % (9280)Time elapsed: 0.004 s
% 0.23/0.46 % (9280)Instructions burned: 5 (million)
% 0.23/0.46 % (9280)------------------------------
% 0.23/0.46 % (9280)------------------------------
% 0.23/0.46 % (9281)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.46 % (9282)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)
% 0.23/0.47 % (9281)Instruction limit reached!
% 0.23/0.47 % (9281)------------------------------
% 0.23/0.47 % (9281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (9281)Termination reason: Unknown
% 0.23/0.47 % (9281)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (9281)Memory used [KB]: 1407
% 0.23/0.47 % (9281)Time elapsed: 0.004 s
% 0.23/0.47 % (9281)Instructions burned: 4 (million)
% 0.23/0.47 % (9281)------------------------------
% 0.23/0.47 % (9281)------------------------------
% 0.23/0.47 % (9283)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.47 % (9282)Instruction limit reached!
% 0.23/0.47 % (9282)------------------------------
% 0.23/0.47 % (9282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (9282)Termination reason: Unknown
% 0.23/0.47 % (9282)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (9282)Memory used [KB]: 1535
% 0.23/0.47 % (9282)Time elapsed: 0.009 s
% 0.23/0.47 % (9282)Instructions burned: 18 (million)
% 0.23/0.47 % (9282)------------------------------
% 0.23/0.47 % (9282)------------------------------
% 0.23/0.48 % (9284)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.48 % (9284)Instruction limit reached!
% 0.23/0.48 % (9284)------------------------------
% 0.23/0.48 % (9284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (9284)Termination reason: Unknown
% 0.23/0.48 % (9284)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (9284)Memory used [KB]: 1407
% 0.23/0.48 % (9284)Time elapsed: 0.004 s
% 0.23/0.48 % (9284)Instructions burned: 6 (million)
% 0.23/0.48 % (9284)------------------------------
% 0.23/0.48 % (9284)------------------------------
% 0.23/0.48 % (9285)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)
% 0.23/0.48 % (9287)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.49 % (9287)Instruction limit reached!
% 0.23/0.49 % (9287)------------------------------
% 0.23/0.49 % (9287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (9287)Termination reason: Unknown
% 0.23/0.49 % (9287)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (9287)Memory used [KB]: 1407
% 0.23/0.49 % (9287)Time elapsed: 0.003 s
% 0.23/0.49 % (9287)Instructions burned: 5 (million)
% 0.23/0.49 % (9287)------------------------------
% 0.23/0.49 % (9287)------------------------------
% 0.23/0.49 % (9286)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)
% 0.23/0.49 % (9268)Refutation not found, incomplete strategy
% 0.23/0.49 % (9268)------------------------------
% 0.23/0.49 % (9268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (9268)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.49
% 0.23/0.49
% 0.23/0.49 % (9268)Memory used [KB]: 6652
% 0.23/0.49 % (9268)Time elapsed: 0.084 s
% 0.23/0.49 % (9268)Instructions burned: 109 (million)
% 0.23/0.49 % (9268)------------------------------
% 0.23/0.49 % (9268)------------------------------
% 0.23/0.50 % (9286)Instruction limit reached!
% 0.23/0.50 % (9286)------------------------------
% 0.23/0.50 % (9286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (9286)Termination reason: Unknown
% 0.23/0.50 % (9286)Termination phase: shuffling
% 0.23/0.50
% 0.23/0.50 % (9286)Memory used [KB]: 1791
% 0.23/0.50 % (9286)Time elapsed: 0.011 s
% 0.23/0.50 % (9286)Instructions burned: 22 (million)
% 0.23/0.50 % (9286)------------------------------
% 0.23/0.50 % (9286)------------------------------
% 0.23/0.50 % (9288)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)
% 0.23/0.50 % (9288)Instruction limit reached!
% 0.23/0.50 % (9288)------------------------------
% 0.23/0.50 % (9288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (9288)Termination reason: Unknown
% 0.23/0.50 % (9288)Termination phase: shuffling
% 0.23/0.50
% 0.23/0.50 % (9288)Memory used [KB]: 1535
% 0.23/0.50 % (9288)Time elapsed: 0.004 s
% 0.23/0.50 % (9288)Instructions burned: 6 (million)
% 0.23/0.50 % (9288)------------------------------
% 0.23/0.50 % (9288)------------------------------
% 0.23/0.50 % (9290)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 (2998ds/779Mi)
% 0.23/0.51 % (9289)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.23/0.51 % (9263)Instruction limit reached!
% 0.23/0.51 % (9263)------------------------------
% 0.23/0.51 % (9263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (9263)Termination reason: Unknown
% 0.23/0.51 % (9263)Termination phase: Property scanning
% 0.23/0.51
% 0.23/0.51 % (9263)Memory used [KB]: 2430
% 0.23/0.51 % (9263)Time elapsed: 0.073 s
% 0.23/0.51 % (9263)Instructions burned: 183 (million)
% 0.23/0.51 % (9263)------------------------------
% 0.23/0.51 % (9263)------------------------------
% 0.23/0.51 % (9291)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 (2998ds/19Mi)
% 0.23/0.52 % (9292)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.23/0.52 % (9291)Instruction limit reached!
% 0.23/0.52 % (9291)------------------------------
% 0.23/0.52 % (9291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (9291)Termination reason: Unknown
% 0.23/0.52 % (9291)Termination phase: shuffling
% 0.23/0.52
% 0.23/0.52 % (9291)Memory used [KB]: 1791
% 0.23/0.52 % (9291)Time elapsed: 0.010 s
% 0.23/0.52 % (9291)Instructions burned: 19 (million)
% 0.23/0.52 % (9291)------------------------------
% 0.23/0.52 % (9291)------------------------------
% 1.03/0.53 % (9293)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.03/0.53 % (9293)Instruction limit reached!
% 1.03/0.53 % (9293)------------------------------
% 1.03/0.53 % (9293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.03/0.53 % (9293)Termination reason: Unknown
% 1.03/0.53 % (9293)Termination phase: shuffling
% 1.03/0.53
% 1.03/0.53 % (9293)Memory used [KB]: 1535
% 1.03/0.53 % (9293)Time elapsed: 0.009 s
% 1.03/0.53 % (9293)Instructions burned: 18 (million)
% 1.03/0.53 % (9293)------------------------------
% 1.03/0.53 % (9293)------------------------------
% 1.03/0.54 % (9285)Refutation not found, incomplete strategy
% 1.03/0.54 % (9285)------------------------------
% 1.03/0.54 % (9285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.03/0.54 % (9294)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.03/0.54 % (9285)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.54
% 1.03/0.54
% 1.03/0.54 % (9285)Memory used [KB]: 6652
% 1.03/0.54 % (9285)Time elapsed: 0.058 s
% 1.03/0.54 % (9285)Instructions burned: 135 (million)
% 1.03/0.54 % (9285)------------------------------
% 1.03/0.54 % (9285)------------------------------
% 1.03/0.54 % (9294)Instruction limit reached!
% 1.03/0.54 % (9294)------------------------------
% 1.03/0.54 % (9294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.03/0.54 % (9294)Termination reason: Unknown
% 1.03/0.54 % (9294)Termination phase: shuffling
% 1.03/0.54
% 1.03/0.54 % (9294)Memory used [KB]: 1407
% 1.03/0.54 % (9294)Time elapsed: 0.003 s
% 1.03/0.54 % (9294)Instructions burned: 3 (million)
% 1.03/0.54 % (9294)------------------------------
% 1.03/0.54 % (9294)------------------------------
% 1.21/0.55 % (9295)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.21/0.55 % (9297)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 (2998ds/100Mi)
% 1.21/0.56 % (9296)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 (2998ds/127Mi)
% 1.21/0.57 % (9295)Instruction limit reached!
% 1.21/0.57 % (9295)------------------------------
% 1.21/0.57 % (9295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.57 % (9295)Termination reason: Unknown
% 1.21/0.57 % (9295)Termination phase: shuffling
% 1.21/0.57
% 1.21/0.57 % (9295)Memory used [KB]: 1791
% 1.21/0.57 % (9295)Time elapsed: 0.014 s
% 1.21/0.57 % (9295)Instructions burned: 30 (million)
% 1.21/0.57 % (9295)------------------------------
% 1.21/0.57 % (9295)------------------------------
% 1.21/0.58 % (9298)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)
% 1.21/0.58 % (9298)Instruction limit reached!
% 1.21/0.58 % (9298)------------------------------
% 1.21/0.58 % (9298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.58 % (9298)Termination reason: Unknown
% 1.21/0.58 % (9298)Termination phase: shuffling
% 1.21/0.58
% 1.21/0.58 % (9298)Memory used [KB]: 1407
% 1.21/0.58 % (9298)Time elapsed: 0.004 s
% 1.21/0.58 % (9298)Instructions burned: 5 (million)
% 1.21/0.58 % (9298)------------------------------
% 1.21/0.58 % (9298)------------------------------
% 1.21/0.59 % (9299)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)
% 1.21/0.59 % (9297)Instruction limit reached!
% 1.21/0.59 % (9297)------------------------------
% 1.21/0.59 % (9297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.59 % (9297)Termination reason: Unknown
% 1.21/0.59 % (9297)Termination phase: Function definition elimination
% 1.21/0.59
% 1.21/0.59 % (9297)Memory used [KB]: 2046
% 1.21/0.59 % (9297)Time elapsed: 0.041 s
% 1.21/0.59 % (9297)Instructions burned: 100 (million)
% 1.21/0.59 % (9297)------------------------------
% 1.21/0.59 % (9297)------------------------------
% 1.21/0.60 % (9299)Instruction limit reached!
% 1.21/0.60 % (9299)------------------------------
% 1.21/0.60 % (9299)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.60 % (9299)Termination reason: Unknown
% 1.21/0.60 % (9299)Termination phase: shuffling
% 1.21/0.60
% 1.21/0.60 % (9299)Memory used [KB]: 1791
% 1.21/0.60 % (9299)Time elapsed: 0.007 s
% 1.21/0.60 % (9299)Instructions burned: 21 (million)
% 1.21/0.60 % (9299)------------------------------
% 1.21/0.60 % (9299)------------------------------
% 1.21/0.60 % (9300)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 (2997ds/86Mi)
% 1.21/0.61 % (9296)Instruction limit reached!
% 1.21/0.61 % (9296)------------------------------
% 1.21/0.61 % (9296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.61 % (9296)Termination reason: Unknown
% 1.21/0.61 % (9296)Termination phase: Function definition elimination
% 1.21/0.61
% 1.21/0.61 % (9296)Memory used [KB]: 2430
% 1.21/0.61 % (9296)Time elapsed: 0.052 s
% 1.21/0.61 % (9296)Instructions burned: 128 (million)
% 1.21/0.61 % (9296)------------------------------
% 1.21/0.61 % (9296)------------------------------
% 1.21/0.61 % (9292)Refutation not found, incomplete strategy
% 1.21/0.61 % (9292)------------------------------
% 1.21/0.61 % (9292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.61 % (9292)Termination reason: Refutation not found, incomplete strategy
% 1.21/0.61
% 1.21/0.61
% 1.21/0.61 % (9292)Memory used [KB]: 7547
% 1.21/0.61 % (9292)Time elapsed: 0.120 s
% 1.21/0.61 % (9292)Instructions burned: 312 (million)
% 1.21/0.61 % (9292)------------------------------
% 1.21/0.61 % (9292)------------------------------
% 1.21/0.61 % (9289)Instruction limit reached!
% 1.21/0.61 % (9289)------------------------------
% 1.21/0.61 % (9289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.61 % (9289)Termination reason: Unknown
% 1.21/0.61 % (9289)Termination phase: Saturation
% 1.21/0.61
% 1.21/0.61 % (9289)Memory used [KB]: 7164
% 1.21/0.61 % (9289)Time elapsed: 0.097 s
% 1.21/0.61 % (9289)Instructions burned: 379 (million)
% 1.21/0.61 % (9289)------------------------------
% 1.21/0.61 % (9289)------------------------------
% 1.21/0.62 % (9302)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 (2997ds/39Mi)
% 1.21/0.62 % (9301)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 (2997ds/107Mi)
% 1.21/0.62 % (9303)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 (2997ds/448Mi)
% 1.77/0.64 % (9302)Instruction limit reached!
% 1.77/0.64 % (9302)------------------------------
% 1.77/0.64 % (9302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.77/0.64 % (9302)Termination reason: Unknown
% 1.77/0.64 % (9302)Termination phase: Property scanning
% 1.77/0.64
% 1.77/0.64 % (9302)Memory used [KB]: 2046
% 1.77/0.64 % (9302)Time elapsed: 0.019 s
% 1.77/0.64 % (9302)Instructions burned: 41 (million)
% 1.77/0.64 % (9302)------------------------------
% 1.77/0.64 % (9302)------------------------------
% 1.77/0.64 % (9304)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 (2997ds/46Mi)
% 1.77/0.64 % (9300)Instruction limit reached!
% 1.77/0.64 % (9300)------------------------------
% 1.77/0.64 % (9300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.77/0.64 % (9300)Termination reason: Unknown
% 1.77/0.64 % (9300)Termination phase: Property scanning
% 1.77/0.64
% 1.77/0.64 % (9300)Memory used [KB]: 2046
% 1.77/0.64 % (9300)Time elapsed: 0.032 s
% 1.77/0.64 % (9300)Instructions burned: 87 (million)
% 1.77/0.64 % (9300)------------------------------
% 1.77/0.64 % (9300)------------------------------
% 1.77/0.65 % (9301)Instruction limit reached!
% 1.77/0.65 % (9301)------------------------------
% 1.77/0.65 % (9301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.77/0.65 % (9301)Termination reason: Unknown
% 1.77/0.65 % (9301)Termination phase: Property scanning
% 1.77/0.65
% 1.77/0.65 % (9301)Memory used [KB]: 2046
% 1.77/0.65 % (9301)Time elapsed: 0.027 s
% 1.77/0.65 % (9301)Instructions burned: 107 (million)
% 1.77/0.65 % (9301)------------------------------
% 1.77/0.65 % (9301)------------------------------
% 1.77/0.65 % (9304)Instruction limit reached!
% 1.77/0.65 % (9304)------------------------------
% 1.77/0.65 % (9304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.77/0.65 % (9304)Termination reason: Unknown
% 1.77/0.65 % (9304)Termination phase: shuffling
% 1.77/0.65
% 1.77/0.65 % (9304)Memory used [KB]: 1918
% 1.77/0.65 % (9304)Time elapsed: 0.014 s
% 1.77/0.65 % (9304)Instructions burned: 47 (million)
% 1.77/0.65 % (9304)------------------------------
% 1.77/0.65 % (9304)------------------------------
% 1.77/0.65 % (9306)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)
% 1.77/0.66 % (9305)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)
% 1.77/0.66 % (9308)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.77/0.67 % (9307)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)
% 1.77/0.68 % (9308)Instruction limit reached!
% 1.77/0.68 % (9308)------------------------------
% 1.77/0.68 % (9308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.77/0.68 % (9308)Termination reason: Unknown
% 1.77/0.68 % (9308)Termination phase: shuffling
% 1.77/0.68
% 1.77/0.68 % (9308)Memory used [KB]: 1791
% 1.77/0.68 % (9308)Time elapsed: 0.019 s
% 1.77/0.68 % (9308)Instructions burned: 39 (million)
% 1.77/0.68 % (9308)------------------------------
% 1.77/0.68 % (9308)------------------------------
% 2.06/0.69 % (9309)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 (2996ds/6Mi)
% 2.06/0.69 % (9305)Instruction limit reached!
% 2.06/0.69 % (9305)------------------------------
% 2.06/0.69 % (9305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.69 % (9305)Termination reason: Unknown
% 2.06/0.69 % (9305)Termination phase: Function definition elimination
% 2.06/0.69
% 2.06/0.69 % (9305)Memory used [KB]: 2430
% 2.06/0.69 % (9305)Time elapsed: 0.041 s
% 2.06/0.69 % (9305)Instructions burned: 100 (million)
% 2.06/0.69 % (9305)------------------------------
% 2.06/0.69 % (9305)------------------------------
% 2.06/0.70 % (9309)Instruction limit reached!
% 2.06/0.70 % (9309)------------------------------
% 2.06/0.70 % (9309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.70 % (9309)Termination reason: Unknown
% 2.06/0.70 % (9309)Termination phase: shuffling
% 2.06/0.70
% 2.06/0.70 % (9309)Memory used [KB]: 1535
% 2.06/0.70 % (9309)Time elapsed: 0.005 s
% 2.06/0.70 % (9309)Instructions burned: 7 (million)
% 2.06/0.70 % (9309)------------------------------
% 2.06/0.70 % (9309)------------------------------
% 2.06/0.71 % (9307)Instruction limit reached!
% 2.06/0.71 % (9307)------------------------------
% 2.06/0.71 % (9307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.71 % (9307)Termination reason: Unknown
% 2.06/0.71 % (9307)Termination phase: Property scanning
% 2.06/0.71
% 2.06/0.71 % (9307)Memory used [KB]: 2558
% 2.06/0.71 % (9307)Time elapsed: 0.037 s
% 2.06/0.71 % (9307)Instructions burned: 152 (million)
% 2.06/0.71 % (9307)------------------------------
% 2.06/0.71 % (9307)------------------------------
% 2.06/0.71 % (9310)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 (2996ds/1087Mi)
% 2.06/0.71 % (9311)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.06/0.71 % (9312)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)
% 2.06/0.72 % (9311)Instruction limit reached!
% 2.06/0.72 % (9311)------------------------------
% 2.06/0.72 % (9311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.72 % (9311)Termination reason: Unknown
% 2.06/0.72 % (9311)Termination phase: shuffling
% 2.06/0.72
% 2.06/0.72 % (9311)Memory used [KB]: 1918
% 2.06/0.72 % (9311)Time elapsed: 0.016 s
% 2.06/0.72 % (9311)Instructions burned: 49 (million)
% 2.06/0.72 % (9311)------------------------------
% 2.06/0.72 % (9311)------------------------------
% 2.06/0.73 % (9312)Instruction limit reached!
% 2.06/0.73 % (9312)------------------------------
% 2.06/0.73 % (9312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.73 % (9312)Termination reason: Unknown
% 2.06/0.73 % (9312)Termination phase: Property scanning
% 2.06/0.73
% 2.06/0.73 % (9312)Memory used [KB]: 2046
% 2.06/0.73 % (9312)Time elapsed: 0.020 s
% 2.06/0.73 % (9312)Instructions burned: 44 (million)
% 2.06/0.73 % (9312)------------------------------
% 2.06/0.73 % (9312)------------------------------
% 2.06/0.73 % (9313)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)
% 2.06/0.74 % (9303)Instruction limit reached!
% 2.06/0.74 % (9303)------------------------------
% 2.06/0.74 % (9303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.74 % (9303)Termination reason: Unknown
% 2.06/0.74 % (9303)Termination phase: Saturation
% 2.06/0.74
% 2.06/0.74 % (9303)Memory used [KB]: 8187
% 2.06/0.74 % (9303)Time elapsed: 0.114 s
% 2.06/0.74 % (9303)Instructions burned: 453 (million)
% 2.06/0.74 % (9303)------------------------------
% 2.06/0.74 % (9303)------------------------------
% 2.06/0.74 % (9290)First to succeed.
% 2.53/0.75 % (9314)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)
% 2.53/0.75 % (9283)Instruction limit reached!
% 2.53/0.75 % (9283)------------------------------
% 2.53/0.75 % (9283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.75 % (9283)Termination reason: Unknown
% 2.53/0.75 % (9283)Termination phase: Saturation
% 2.53/0.75
% 2.53/0.75 % (9283)Memory used [KB]: 6908
% 2.53/0.75 % (9283)Time elapsed: 0.273 s
% 2.53/0.75 % (9283)Instructions burned: 711 (million)
% 2.53/0.75 % (9283)------------------------------
% 2.53/0.75 % (9283)------------------------------
% 2.53/0.75 % (9315)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)
% 2.53/0.76 % (9274)Also succeeded, but the first one will report.
% 2.53/0.76 % (9290)Refutation found. Thanks to Tanya!
% 2.53/0.76 % SZS status Theorem for theBenchmark
% 2.53/0.76 % SZS output start Proof for theBenchmark
% 2.53/0.76 thf(type_def_5, type, mu: $tType).
% 2.53/0.76 thf(func_def_0, type, mu: $tType).
% 2.53/0.76 thf(func_def_1, type, qmltpeq: mu > mu > $i > $o).
% 2.53/0.76 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_6, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_7, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_8, type, mtrue: $i > $o).
% 2.53/0.76 thf(func_def_9, type, mfalse: $i > $o).
% 2.53/0.76 thf(func_def_10, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_11, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_12, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_13, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_14, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_15, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_16, type, exists_in_world: mu > $i > $o).
% 2.53/0.76 thf(func_def_17, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_18, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_19, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_20, type, mreflexive: ($i > $i > $o) > $o).
% 2.53/0.76 thf(func_def_21, type, msymmetric: ($i > $i > $o) > $o).
% 2.53/0.76 thf(func_def_22, type, mserial: ($i > $i > $o) > $o).
% 2.53/0.76 thf(func_def_23, type, mtransitive: ($i > $i > $o) > $o).
% 2.53/0.76 thf(func_def_24, type, meuclidean: ($i > $i > $o) > $o).
% 2.53/0.76 thf(func_def_25, type, mpartially_functional: ($i > $i > $o) > $o).
% 2.53/0.76 thf(func_def_26, type, mfunctional: ($i > $i > $o) > $o).
% 2.53/0.76 thf(func_def_27, type, mweakly_dense: ($i > $i > $o) > $o).
% 2.53/0.76 thf(func_def_28, type, mweakly_connected: ($i > $i > $o) > $o).
% 2.53/0.76 thf(func_def_29, type, mweakly_directed: ($i > $i > $o) > $o).
% 2.53/0.76 thf(func_def_30, type, mvalid: ($i > $o) > $o).
% 2.53/0.76 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 2.53/0.76 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 2.53/0.76 thf(func_def_33, type, minvalid: ($i > $o) > $o).
% 2.53/0.76 thf(func_def_34, type, rel_s4: $i > $i > $o).
% 2.53/0.76 thf(func_def_35, type, mbox_s4: ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_36, type, mdia_s4: ($i > $o) > $i > $o).
% 2.53/0.76 thf(func_def_37, type, true: $i > $o).
% 2.53/0.76 thf(func_def_38, type, lt: mu > mu > $i > $o).
% 2.53/0.76 thf(func_def_39, type, geq: mu > mu > $i > $o).
% 2.53/0.76 thf(func_def_40, type, gt: mu > mu > $i > $o).
% 2.53/0.76 thf(func_def_41, type, leq: mu > mu > $i > $o).
% 2.53/0.76 thf(func_def_42, type, uniform_int_rnd: mu > mu > mu).
% 2.53/0.76 thf(func_def_43, type, tptp_const_array1: mu > mu > mu).
% 2.53/0.76 thf(func_def_44, type, dim: mu > mu > mu).
% 2.53/0.76 thf(func_def_45, type, tptp_const_array2: mu > mu > mu > mu).
% 2.53/0.76 thf(func_def_46, type, inv: mu > mu).
% 2.53/0.76 thf(func_def_47, type, tptp_msub: mu > mu > mu).
% 2.53/0.76 thf(func_def_48, type, trans: mu > mu).
% 2.53/0.76 thf(func_def_49, type, tptp_mmul: mu > mu > mu).
% 2.53/0.76 thf(func_def_50, type, tptp_madd: mu > mu > mu).
% 2.53/0.76 thf(func_def_51, type, sum: mu > mu > mu > mu).
% 2.53/0.76 thf(func_def_52, type, tptp_float_0_0: mu).
% 2.53/0.76 thf(func_def_53, type, plus: mu > mu > mu).
% 2.53/0.76 thf(func_def_54, type, pred: mu > mu).
% 2.53/0.76 thf(func_def_55, type, tptp_update3: mu > mu > mu > mu > mu).
% 2.53/0.76 thf(func_def_56, type, tptp_update2: mu > mu > mu > mu).
% 2.53/0.76 thf(func_def_57, type, def: mu).
% 2.53/0.76 thf(func_def_58, type, z_defuse: mu).
% 2.53/0.76 thf(func_def_59, type, minus: mu > mu > mu).
% 2.53/0.76 thf(func_def_60, type, pv5: mu).
% 2.53/0.76 thf(func_def_61, type, xinit_noise_defuse: mu).
% 2.53/0.76 thf(func_def_62, type, xinit_mean_defuse: mu).
% 2.53/0.76 thf(func_def_63, type, xinit_defuse: mu).
% 2.53/0.76 thf(func_def_64, type, u_defuse: mu).
% 2.53/0.76 thf(func_def_65, type, a_select3: mu > mu > mu > mu).
% 2.53/0.76 thf(func_def_66, type, sigma_defuse: mu).
% 2.53/0.76 thf(func_def_67, type, use: mu).
% 2.53/0.76 thf(func_def_68, type, rho_defuse: mu).
% 2.53/0.76 thf(func_def_69, type, a_select2: mu > mu > mu).
% 2.53/0.76 thf(func_def_70, type, tptp_minus_1: mu).
% 2.53/0.76 thf(func_def_71, type, n999: mu).
% 2.53/0.76 thf(func_def_72, type, n4: mu).
% 2.53/0.76 thf(func_def_73, type, n5: mu).
% 2.53/0.76 thf(func_def_74, type, n1: mu).
% 2.53/0.76 thf(func_def_75, type, n2: mu).
% 2.53/0.76 thf(func_def_76, type, n3: mu).
% 2.53/0.76 thf(func_def_77, type, n0: mu).
% 2.53/0.76 thf(func_def_78, type, succ: mu > mu).
% 2.53/0.76 thf(func_def_103, type, sK1: $i > mu).
% 2.53/0.76 thf(func_def_104, type, sK2: mu > $i > mu > $i).
% 2.53/0.76 thf(func_def_105, type, sK3: mu > $i > mu > $i).
% 2.53/0.76 thf(func_def_106, type, sK4: mu > mu > $i > $i).
% 2.53/0.76 thf(func_def_107, type, sK5: mu > mu > $i > $i).
% 2.53/0.76 thf(func_def_108, type, sK6: $i > mu > mu > mu > $i).
% 2.53/0.76 thf(func_def_109, type, sK7: mu > mu > $i > mu > mu).
% 2.53/0.76 thf(func_def_110, type, sK8: $i > mu > mu > mu > $i).
% 2.53/0.76 thf(f1991,plain,(
% 2.53/0.76 $false),
% 2.53/0.76 inference(trivial_inequality_removal,[],[f1990])).
% 2.53/0.76 thf(f1990,plain,(
% 2.53/0.76 ($true = $false)),
% 2.53/0.76 inference(beta_eta_normalization,[],[f1989])).
% 2.53/0.76 thf(f1989,plain,(
% 2.53/0.76 (((^[Y0 : $i]: ($true)) @ sK10) = $false)),
% 2.53/0.76 inference(sigma_clausification,[],[f1988])).
% 2.53/0.76 thf(f1988,plain,(
% 2.53/0.76 ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false)),
% 2.53/0.76 inference(beta_eta_normalization,[],[f1987])).
% 2.53/0.76 thf(f1987,plain,(
% 2.53/0.76 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK9))),
% 2.53/0.76 inference(sigma_clausification,[],[f1986])).
% 2.53/0.76 thf(f1986,plain,(
% 2.53/0.76 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))) = $false)),
% 2.53/0.76 inference(not_proxy_clausification,[],[f961])).
% 2.53/0.76 thf(f961,plain,(
% 2.53/0.76 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))))))),
% 2.53/0.76 inference(boolean_simplification,[],[f960])).
% 2.53/0.76 thf(f960,plain,(
% 2.53/0.76 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | $true)))))))),
% 2.53/0.76 inference(boolean_simplification,[],[f959])).
% 2.53/0.76 thf(f959,plain,(
% 2.53/0.76 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ (rel_s4 @ Y0 @ Y1)) | ((~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (leq @ n0 @ pv5 @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (leq @ pv5 @ (minus @ n999 @ n1) @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ 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)) | ((~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (leq @ n0 @ Y3 @ Y7))))) | (~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (leq @ n0 @ Y5 @ Y7))))) | (~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (leq @ Y3 @ n2 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (leq @ Y5 @ pv5 @ Y7)))))))))))))) | (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ (a_select3 @ u_defuse @ Y3 @ Y5) @ use @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ (a_select3 @ z_defuse @ Y3 @ Y5) @ use @ Y7)))))))))))))))))))))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ 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)) | ((~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (leq @ n0 @ Y3 @ Y7))))) | (~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (leq @ n0 @ Y5 @ Y7))))) | (~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (leq @ Y3 @ n2 @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (leq @ Y5 @ (minus @ pv5 @ n1) @ Y7)))))))))))))) | (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ (a_select3 @ u_defuse @ Y3 @ Y5) @ use @ Y7))))) | (~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (qmltpeq @ (a_select3 @ z_defuse @ Y3 @ Y5) @ use @ Y7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (leq @ n0 @ pv5 @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (leq @ pv5 @ (minus @ n999 @ n1) @ Y2))))) | (~ (~ ((~ (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ 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)) | ((~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (leq @ n0 @ Y3 @ Y7))))) | (~ (~ ((~ (!! @ $i @ (^[Y7 : $i]: ((~ (rel_s4 @ Y6 @ Y7)) | (leq @ n0 @ Y5 @ Y7))))) | (~ (~ ((~ (!! 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% 2.53/0.76 inference(beta_eta_normalization,[],[f818])).
% 2.53/0.76 thf(f818,plain,(
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@ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ (leq @ pv5 @ (minus @ n999 @ n1))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))) @ ((^[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]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ 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))))))) @ (leq @ n0 @ Y0)) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ 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))))))) @ (leq @ n0 @ Y1)) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ 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))))))) @ (leq @ Y0 @ n2)) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ (leq @ Y1 @ pv5))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ 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))))))) @ (qmltpeq @ (a_select3 @ u_defuse @ Y0 @ Y1) @ use)) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ (qmltpeq @ (a_select3 @ z_defuse @ Y0 @ Y1) @ use))))))))))) @ ((^[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]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ 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))))))) @ (leq @ n0 @ Y0)) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ 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))))))) @ (leq @ n0 @ Y1)) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ 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))))))) @ (leq @ Y0 @ n2)) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ (leq @ Y1 @ (minus @ pv5 @ n1)))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ 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))))))) @ (qmltpeq @ (a_select3 @ u_defuse @ Y0 @ Y1) @ use)) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (rel_s4 @ Y3 @ Y4)) | (Y2 @ Y4))))))) @ (qmltpeq @ (a_select3 @ z_defuse @ Y0 @ Y1) @ use))))))))))))))))))))))))))))))))))))))))))))))),
% 2.53/0.76 inference(definition_unfolding,[],[f693,f732,f707,f781,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f686,f707,f686,f707,f781,f780,f707,f780,f707,f780,f707,f707,f780,f707,f707,f707,f686,f707,f686,f707,f781,f780,f707,f780,f707,f780,f707,f707,f780,f707,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f780,f707,f686,f707,f686,f707,f781,f780,f707,f780,f707,f780,f707,f707,f780,f707,f707,f707,f686,f707,f686,f707,f781,f780,f707,f780,f707,f780,f707,f707,f780,f707,f707])).
% 2.53/0.76 thf(f686,plain,(
% 2.53/0.76 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 2.53/0.76 inference(cnf_transformation,[],[f507])).
% 2.53/0.76 thf(f507,plain,(
% 2.53/0.76 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: ((exists_in_world @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
% 2.53/0.76 inference(fool_elimination,[],[f506])).
% 2.53/0.76 thf(f506,plain,(
% 2.53/0.76 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : ((exists_in_world @ X2 @ X1) => (X0 @ X2 @ X1)))) = mforall_ind)),
% 2.53/0.76 inference(rectify,[],[f15])).
% 2.53/0.76 thf(f15,axiom,(
% 2.53/0.76 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : ((exists_in_world @ X0 @ X2) => (X3 @ X0 @ X2)))) = mforall_ind)),
% 2.53/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind)).
% 2.53/0.76 thf(f780,plain,(
% 2.53/0.76 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 2.53/0.76 inference(definition_unfolding,[],[f682,f748,f721,f748,f748])).
% 2.53/0.76 thf(f721,plain,(
% 2.53/0.76 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 2.53/0.76 inference(cnf_transformation,[],[f602])).
% 2.53/0.76 thf(f602,plain,(
% 2.53/0.76 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 2.53/0.76 inference(fool_elimination,[],[f601])).
% 2.53/0.76 thf(f601,plain,(
% 2.53/0.76 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 2.53/0.76 inference(rectify,[],[f3])).
% 2.53/0.76 thf(f3,axiom,(
% 2.53/0.76 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 2.53/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 2.53/0.76 thf(f748,plain,(
% 2.53/0.76 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.53/0.76 inference(cnf_transformation,[],[f322])).
% 2.53/0.76 thf(f322,plain,(
% 2.53/0.76 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.53/0.76 inference(fool_elimination,[],[f321])).
% 2.53/0.76 thf(f321,plain,(
% 2.53/0.76 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 2.53/0.76 inference(rectify,[],[f2])).
% 2.53/0.76 thf(f2,axiom,(
% 2.53/0.76 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 2.53/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 2.53/0.76 thf(f682,plain,(
% 2.53/0.76 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 2.53/0.76 inference(cnf_transformation,[],[f420])).
% 2.53/0.76 thf(f420,plain,(
% 2.53/0.76 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 2.53/0.76 inference(fool_elimination,[],[f419])).
% 2.53/0.76 thf(f419,plain,(
% 2.53/0.76 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 2.53/0.76 inference(rectify,[],[f8])).
% 2.53/0.76 thf(f8,axiom,(
% 2.53/0.76 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 2.53/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
% 2.53/0.76 thf(f781,plain,(
% 2.53/0.76 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 2.53/0.76 inference(definition_unfolding,[],[f747,f721,f748])).
% 2.53/0.76 thf(f747,plain,(
% 2.53/0.76 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.53/0.76 inference(cnf_transformation,[],[f326])).
% 2.53/0.76 thf(f326,plain,(
% 2.53/0.76 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.53/0.76 inference(fool_elimination,[],[f325])).
% 2.53/0.76 thf(f325,plain,(
% 2.53/0.76 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 2.53/0.76 inference(rectify,[],[f9])).
% 2.53/0.76 thf(f9,axiom,(
% 2.53/0.76 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 2.53/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 2.53/0.76 thf(f707,plain,(
% 2.53/0.76 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 2.53/0.76 inference(cnf_transformation,[],[f290])).
% 2.53/0.76 thf(f290,plain,(
% 2.53/0.76 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((~ (rel_s4 @ Y1 @ Y2)) | (Y0 @ Y2))))))))),
% 2.53/0.76 inference(fool_elimination,[],[f289])).
% 2.53/0.76 thf(f289,plain,(
% 2.53/0.76 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((X0 @ X2) | ~(rel_s4 @ X1 @ X2)))) = mbox_s4)),
% 2.53/0.76 inference(rectify,[],[f32])).
% 2.53/0.76 thf(f32,axiom,(
% 2.53/0.76 ((^[X3 : $i > $o, X2 : $i] : (! [X6] : ((X3 @ X6) | ~(rel_s4 @ X2 @ X6)))) = mbox_s4)),
% 2.53/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s4)).
% 2.53/0.76 thf(f732,plain,(
% 2.53/0.76 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.53/0.76 inference(cnf_transformation,[],[f590])).
% 2.53/0.76 thf(f590,plain,(
% 2.53/0.76 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.53/0.76 inference(fool_elimination,[],[f589])).
% 2.53/0.76 thf(f589,plain,(
% 2.53/0.76 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 2.53/0.76 inference(rectify,[],[f28])).
% 2.53/0.76 thf(f28,axiom,(
% 2.53/0.76 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 2.53/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 2.53/0.76 thf(f693,plain,(
% 2.53/0.76 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ Y0)) @ (mand @ (mbox_s4 @ (leq @ n0 @ Y1)) @ (mand @ (mbox_s4 @ (leq @ Y0 @ n2)) @ (mbox_s4 @ (leq @ Y1 @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ Y0 @ Y1) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ Y0 @ Y1) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ Y0)) @ (mand @ (mbox_s4 @ (leq @ n0 @ Y1)) @ (mand @ (mbox_s4 @ (leq @ Y0 @ n2)) @ (mbox_s4 @ (leq @ Y1 @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ Y0 @ Y1) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ Y0 @ Y1) @ use))))))))))))))))))))))))))))))))))))))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ Y0)) @ (mand @ (mbox_s4 @ (leq @ n0 @ Y1)) @ (mand @ (mbox_s4 @ (leq @ Y0 @ n2)) @ (mbox_s4 @ (leq @ Y1 @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ Y0 @ Y1) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ Y0 @ Y1) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ Y0)) @ (mand @ (mbox_s4 @ (leq @ n0 @ Y1)) @ (mand @ (mbox_s4 @ (leq @ Y0 @ n2)) @ (mbox_s4 @ (leq @ Y1 @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ Y0 @ Y1) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ Y0 @ Y1) @ use))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 2.53/0.76 inference(cnf_transformation,[],[f443])).
% 2.53/0.76 thf(f443,plain,(
% 2.53/0.76 ((~ (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ Y0)) @ (mand @ (mbox_s4 @ (leq @ n0 @ Y1)) @ (mand @ (mbox_s4 @ (leq @ Y0 @ n2)) @ (mbox_s4 @ (leq @ Y1 @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ Y0 @ Y1) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ Y0 @ Y1) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ Y0)) @ (mand @ (mbox_s4 @ (leq @ n0 @ Y1)) @ (mand @ (mbox_s4 @ (leq @ Y0 @ n2)) @ (mbox_s4 @ (leq @ Y1 @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ Y0 @ Y1) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ Y0 @ Y1) @ use))))))))))))))))))))))))))))))))))))))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ Y0)) @ (mand @ (mbox_s4 @ (leq @ n0 @ Y1)) @ (mand @ (mbox_s4 @ (leq @ Y0 @ n2)) @ (mbox_s4 @ (leq @ Y1 @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ Y0 @ Y1) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ Y0 @ Y1) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^[Y0 : mu]: (mbox_s4 @ (mforall_ind @ (^[Y1 : mu]: (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ Y0)) @ (mand @ (mbox_s4 @ (leq @ n0 @ Y1)) @ (mand @ (mbox_s4 @ (leq @ Y0 @ n2)) @ (mbox_s4 @ (leq @ Y1 @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ Y0 @ Y1) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ Y0 @ Y1) @ use))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 2.53/0.76 inference(fool_elimination,[],[f442])).
% 2.53/0.76 thf(f442,plain,(
% 2.53/0.76 ~(mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^[X0 : mu] : (mbox_s4 @ (mforall_ind @ (^[X1 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X0)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X1)) @ (mand @ (mbox_s4 @ (leq @ X0 @ n2)) @ (mbox_s4 @ (leq @ X1 @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X0 @ X1) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X0 @ X1) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^[X2 : mu] : (mbox_s4 @ (mforall_ind @ (^[X3 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X2)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X3)) @ (mand @ (mbox_s4 @ (leq @ X2 @ n2)) @ (mbox_s4 @ (leq @ X3 @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X2 @ X3) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X2 @ X3) @ use))))))))))))))))))))))))))))))))))))))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^[X4 : mu] : (mbox_s4 @ (mforall_ind @ (^[X5 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X4)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X5)) @ (mand @ (mbox_s4 @ (leq @ X4 @ n2)) @ (mbox_s4 @ (leq @ X5 @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X4 @ X5) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X4 @ X5) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^[X6 : mu] : (mbox_s4 @ (mforall_ind @ (^[X7 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X6)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X7)) @ (mand @ (mbox_s4 @ (leq @ X6 @ n2)) @ (mbox_s4 @ (leq @ X7 @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X6 @ X7) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X6 @ X7) @ use))))))))))))))))))))))))))))))))))))))))))))),
% 2.53/0.76 inference(rectify,[],[f215])).
% 2.53/0.76 thf(f215,negated_conjecture,(
% 2.53/0.76 ~(mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^[X16 : mu] : (mbox_s4 @ (mforall_ind @ (^[X17 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X16)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X17)) @ (mand @ (mbox_s4 @ (leq @ X16 @ n2)) @ (mbox_s4 @ (leq @ X17 @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X16 @ X17) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X16 @ X17) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^[X18 : mu] : (mbox_s4 @ (mforall_ind @ (^[X19 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X18)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X19)) @ (mand @ (mbox_s4 @ (leq @ X18 @ n2)) @ (mbox_s4 @ (leq @ X19 @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X18 @ X19) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X18 @ X19) @ use))))))))))))))))))))))))))))))))))))))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^[X20 : mu] : (mbox_s4 @ (mforall_ind @ (^[X33 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X20)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X33)) @ (mand @ (mbox_s4 @ (leq @ X20 @ n2)) @ (mbox_s4 @ (leq @ X33 @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X20 @ X33) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X20 @ X33) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^[X38 : mu] : (mbox_s4 @ (mforall_ind @ (^[X39 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X38)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X39)) @ (mand @ (mbox_s4 @ (leq @ X38 @ n2)) @ (mbox_s4 @ (leq @ X39 @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X38 @ X39) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X38 @ X39) @ use))))))))))))))))))))))))))))))))))))))))))))),
% 2.53/0.76 inference(negated_conjecture,[],[f214])).
% 2.53/0.76 thf(f214,conjecture,(
% 2.53/0.76 (mvalid @ (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^[X16 : mu] : (mbox_s4 @ (mforall_ind @ (^[X17 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X16)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X17)) @ (mand @ (mbox_s4 @ (leq @ X16 @ n2)) @ (mbox_s4 @ (leq @ X17 @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X16 @ X17) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X16 @ X17) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^[X18 : mu] : (mbox_s4 @ (mforall_ind @ (^[X19 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X18)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X19)) @ (mand @ (mbox_s4 @ (leq @ X18 @ n2)) @ (mbox_s4 @ (leq @ X19 @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X18 @ X19) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X18 @ X19) @ use))))))))))))))))))))))))))))))))))))))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ rho_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ sigma_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n0 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n1 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ n2 @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_mean_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n0) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n1) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n2) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n3) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n4) @ use)) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select2 @ xinit_noise_defuse @ n5) @ use)) @ (mand @ (mbox_s4 @ (leq @ n0 @ pv5)) @ (mand @ (mbox_s4 @ (leq @ pv5 @ (minus @ n999 @ n1))) @ (mand @ (mbox_s4 @ (mforall_ind @ (^[X20 : mu] : (mbox_s4 @ (mforall_ind @ (^[X33 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X20)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X33)) @ (mand @ (mbox_s4 @ (leq @ X20 @ n2)) @ (mbox_s4 @ (leq @ X33 @ pv5))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X20 @ X33) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X20 @ X33) @ use))))))))))) @ (mbox_s4 @ (mforall_ind @ (^[X38 : mu] : (mbox_s4 @ (mforall_ind @ (^[X39 : mu] : (mbox_s4 @ (mimplies @ (mand @ (mbox_s4 @ (leq @ n0 @ X38)) @ (mand @ (mbox_s4 @ (leq @ n0 @ X39)) @ (mand @ (mbox_s4 @ (leq @ X38 @ n2)) @ (mbox_s4 @ (leq @ X39 @ (minus @ pv5 @ n1)))))) @ (mand @ (mbox_s4 @ (qmltpeq @ (a_select3 @ u_defuse @ X38 @ X39) @ use)) @ (mbox_s4 @ (qmltpeq @ (a_select3 @ z_defuse @ X38 @ X39) @ use))))))))))))))))))))))))))))))))))))))))))))),
% 2.53/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009)).
% 2.53/0.76 % SZS output end Proof for theBenchmark
% 2.53/0.76 % (9290)------------------------------
% 2.53/0.76 % (9290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.76 % (9290)Termination reason: Refutation
% 2.53/0.76
% 2.53/0.76 % (9290)Memory used [KB]: 11897
% 2.53/0.76 % (9290)Time elapsed: 0.253 s
% 2.53/0.76 % (9290)Instructions burned: 646 (million)
% 2.53/0.76 % (9290)------------------------------
% 2.53/0.76 % (9290)------------------------------
% 2.53/0.76 % (9262)Success in time 0.383 s
% 2.53/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------