TSTP Solution File: SEU558^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU558^2 : TPTP v8.2.0. Bugfixed v4.0.0.
% 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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:49:34 EDT 2024
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU558^2 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.04/0.13 % 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
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 17:28:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % (23246)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)
% 0.13/0.36 % (23247)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.36 % (23243)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)
% 0.13/0.36 % (23241)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.36 % (23242)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)
% 0.13/0.37 % (23244)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (23248)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)
% 0.13/0.37 % (23244)Instruction limit reached!
% 0.13/0.37 % (23244)------------------------------
% 0.13/0.37 % (23244)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (23244)Termination reason: Unknown
% 0.13/0.37 % (23244)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (23244)Memory used [KB]: 895
% 0.13/0.37 % (23244)Time elapsed: 0.003 s
% 0.13/0.37 % (23244)Instructions burned: 2 (million)
% 0.13/0.37 % (23244)------------------------------
% 0.13/0.37 % (23244)------------------------------
% 0.13/0.37 % (23242)Instruction limit reached!
% 0.13/0.37 % (23242)------------------------------
% 0.13/0.37 % (23242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (23242)Termination reason: Unknown
% 0.13/0.37 % (23242)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (23242)Memory used [KB]: 1023
% 0.13/0.37 % (23242)Time elapsed: 0.004 s
% 0.13/0.37 % (23242)Instructions burned: 4 (million)
% 0.13/0.37 % (23242)------------------------------
% 0.13/0.37 % (23242)------------------------------
% 0.13/0.37 % (23248)Instruction limit reached!
% 0.13/0.37 % (23248)------------------------------
% 0.13/0.37 % (23248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (23248)Termination reason: Unknown
% 0.13/0.37 % (23248)Termination phase: Property scanning
% 0.13/0.37
% 0.13/0.37 % (23248)Memory used [KB]: 1023
% 0.13/0.37 % (23248)Time elapsed: 0.004 s
% 0.13/0.37 % (23248)Instructions burned: 4 (million)
% 0.13/0.37 % (23248)------------------------------
% 0.13/0.37 % (23248)------------------------------
% 0.20/0.37 % (23245)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)
% 0.20/0.37 % (23245)Instruction limit reached!
% 0.20/0.37 % (23245)------------------------------
% 0.20/0.37 % (23245)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (23245)Termination reason: Unknown
% 0.20/0.37 % (23245)Termination phase: Property scanning
% 0.20/0.37
% 0.20/0.37 % (23245)Memory used [KB]: 1023
% 0.20/0.37 % (23247)Instruction limit reached!
% 0.20/0.37 % (23247)------------------------------
% 0.20/0.37 % (23247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37 % (23245)Time elapsed: 0.003 s
% 0.20/0.37 % (23245)Instructions burned: 3 (million)
% 0.20/0.37 % (23245)------------------------------
% 0.20/0.37 % (23245)------------------------------
% 0.20/0.37 % (23247)Termination reason: Unknown
% 0.20/0.37 % (23247)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (23247)Memory used [KB]: 5628
% 0.20/0.37 % (23247)Time elapsed: 0.012 s
% 0.20/0.37 % (23247)Instructions burned: 19 (million)
% 0.20/0.37 % (23247)------------------------------
% 0.20/0.37 % (23247)------------------------------
% 0.20/0.38 % (23249)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)
% 0.20/0.38 % (23251)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)
% 0.20/0.38 % (23243)Instruction limit reached!
% 0.20/0.38 % (23243)------------------------------
% 0.20/0.38 % (23243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (23243)Termination reason: Unknown
% 0.20/0.38 % (23243)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (23243)Memory used [KB]: 5628
% 0.20/0.38 % (23243)Time elapsed: 0.019 s
% 0.20/0.38 % (23243)Instructions burned: 27 (million)
% 0.20/0.38 % (23243)------------------------------
% 0.20/0.38 % (23243)------------------------------
% 0.20/0.38 % (23251)Instruction limit reached!
% 0.20/0.38 % (23251)------------------------------
% 0.20/0.38 % (23251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (23251)Termination reason: Unknown
% 0.20/0.38 % (23251)Termination phase: Preprocessing 3
% 0.20/0.38
% 0.20/0.38 % (23251)Memory used [KB]: 1023
% 0.20/0.38 % (23251)Time elapsed: 0.003 s
% 0.20/0.38 % (23251)Instructions burned: 3 (million)
% 0.20/0.38 % (23251)------------------------------
% 0.20/0.38 % (23251)------------------------------
% 0.20/0.38 % (23250)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)
% 0.20/0.39 % (23252)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)
% 0.20/0.39 % (23253)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.39 % (23253)Instruction limit reached!
% 0.20/0.39 % (23253)------------------------------
% 0.20/0.39 % (23253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (23253)Termination reason: Unknown
% 0.20/0.39 % (23253)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (23253)Memory used [KB]: 1023
% 0.20/0.39 % (23253)Time elapsed: 0.005 s
% 0.20/0.39 % (23253)Instructions burned: 7 (million)
% 0.20/0.39 % (23253)------------------------------
% 0.20/0.39 % (23253)------------------------------
% 0.20/0.39 % (23250)Instruction limit reached!
% 0.20/0.39 % (23250)------------------------------
% 0.20/0.39 % (23250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (23250)Termination reason: Unknown
% 0.20/0.39 % (23250)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (23250)Memory used [KB]: 5628
% 0.20/0.39 % (23250)Time elapsed: 0.012 s
% 0.20/0.39 % (23250)Instructions burned: 15 (million)
% 0.20/0.39 % (23250)------------------------------
% 0.20/0.39 % (23250)------------------------------
% 0.20/0.40 % (23254)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.40 % (23255)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)
% 0.20/0.40 % (23255)Instruction limit reached!
% 0.20/0.40 % (23255)------------------------------
% 0.20/0.40 % (23255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (23255)Termination reason: Unknown
% 0.20/0.40 % (23255)Termination phase: Function definition elimination
% 0.20/0.40
% 0.20/0.40 % (23255)Memory used [KB]: 1023
% 0.20/0.40 % (23255)Time elapsed: 0.004 s
% 0.20/0.40 % (23255)Instructions burned: 3 (million)
% 0.20/0.40 % (23255)------------------------------
% 0.20/0.40 % (23255)------------------------------
% 0.20/0.40 % (23249)Instruction limit reached!
% 0.20/0.40 % (23249)------------------------------
% 0.20/0.40 % (23249)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (23249)Termination reason: Unknown
% 0.20/0.40 % (23249)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (23249)Memory used [KB]: 5756
% 0.20/0.40 % (23249)Time elapsed: 0.025 s
% 0.20/0.40 % (23249)Instructions burned: 38 (million)
% 0.20/0.40 % (23249)------------------------------
% 0.20/0.40 % (23249)------------------------------
% 0.20/0.41 % (23254)Instruction limit reached!
% 0.20/0.41 % (23254)------------------------------
% 0.20/0.41 % (23254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (23254)Termination reason: Unknown
% 0.20/0.41 % (23254)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (23254)Memory used [KB]: 5756
% 0.20/0.41 % (23254)Time elapsed: 0.013 s
% 0.20/0.41 % (23254)Instructions burned: 16 (million)
% 0.20/0.41 % (23254)------------------------------
% 0.20/0.41 % (23254)------------------------------
% 0.20/0.41 % (23257)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)
% 0.20/0.41 % (23256)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)
% 0.20/0.41 % (23256)Instruction limit reached!
% 0.20/0.41 % (23256)------------------------------
% 0.20/0.41 % (23256)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (23256)Termination reason: Unknown
% 0.20/0.41 % (23256)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (23256)Memory used [KB]: 1023
% 0.20/0.41 % (23256)Time elapsed: 0.003 s
% 0.20/0.41 % (23256)Instructions burned: 3 (million)
% 0.20/0.41 % (23256)------------------------------
% 0.20/0.41 % (23256)------------------------------
% 0.20/0.41 % (23257)Refutation not found, incomplete strategy
% 0.20/0.41 % (23257)------------------------------
% 0.20/0.41 % (23257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (23257)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 % (23257)Memory used [KB]: 5500
% 0.20/0.41 % (23257)Time elapsed: 0.005 s
% 0.20/0.41 % (23257)Instructions burned: 5 (million)
% 0.20/0.41 % (23257)------------------------------
% 0.20/0.41 % (23257)------------------------------
% 0.20/0.42 % (23258)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)
% 0.20/0.42 % (23259)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.42 % (23258)Instruction limit reached!
% 0.20/0.42 % (23258)------------------------------
% 0.20/0.42 % (23258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (23258)Termination reason: Unknown
% 0.20/0.42 % (23258)Termination phase: Function definition elimination
% 0.20/0.42
% 0.20/0.42 % (23258)Memory used [KB]: 1023
% 0.20/0.42 % (23258)Time elapsed: 0.005 s
% 0.20/0.42 % (23258)Instructions burned: 3 (million)
% 0.20/0.42 % (23258)------------------------------
% 0.20/0.42 % (23258)------------------------------
% 0.20/0.42 % (23259)Instruction limit reached!
% 0.20/0.42 % (23259)------------------------------
% 0.20/0.42 % (23259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (23259)Termination reason: Unknown
% 0.20/0.42 % (23259)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (23259)Memory used [KB]: 5500
% 0.20/0.42 % (23259)Time elapsed: 0.004 s
% 0.20/0.42 % (23259)Instructions burned: 4 (million)
% 0.20/0.42 % (23259)------------------------------
% 0.20/0.42 % (23259)------------------------------
% 0.20/0.42 % (23260)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)
% 0.20/0.43 % (23261)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.43 % (23260)Instruction limit reached!
% 0.20/0.43 % (23260)------------------------------
% 0.20/0.43 % (23260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (23260)Termination reason: Unknown
% 0.20/0.43 % (23260)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (23260)Memory used [KB]: 5628
% 0.20/0.43 % (23260)Time elapsed: 0.013 s
% 0.20/0.43 % (23260)Instructions burned: 18 (million)
% 0.20/0.43 % (23260)------------------------------
% 0.20/0.43 % (23260)------------------------------
% 0.20/0.43 % (23262)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44 % (23262)Instruction limit reached!
% 0.20/0.44 % (23262)------------------------------
% 0.20/0.44 % (23262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (23262)Termination reason: Unknown
% 0.20/0.44 % (23262)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (23262)Memory used [KB]: 5500
% 0.20/0.44 % (23262)Time elapsed: 0.005 s
% 0.20/0.44 % (23262)Instructions burned: 7 (million)
% 0.20/0.44 % (23262)------------------------------
% 0.20/0.44 % (23262)------------------------------
% 0.20/0.45 % (23263)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)
% 0.20/0.45 % (23265)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.45 % (23264)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)
% 0.20/0.45 % (23265)Instruction limit reached!
% 0.20/0.45 % (23265)------------------------------
% 0.20/0.45 % (23265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (23265)Termination reason: Unknown
% 0.20/0.45 % (23265)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (23265)Memory used [KB]: 5500
% 0.20/0.45 % (23265)Time elapsed: 0.005 s
% 0.20/0.45 % (23265)Instructions burned: 6 (million)
% 0.20/0.45 % (23265)------------------------------
% 0.20/0.45 % (23265)------------------------------
% 0.20/0.46 % (23266)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)
% 0.20/0.46 % (23264)Instruction limit reached!
% 0.20/0.46 % (23264)------------------------------
% 0.20/0.46 % (23264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (23264)Termination reason: Unknown
% 0.20/0.46 % (23264)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (23264)Memory used [KB]: 5628
% 0.20/0.46 % (23264)Time elapsed: 0.037 s
% 0.20/0.46 % (23264)Instructions burned: 21 (million)
% 0.20/0.46 % (23264)------------------------------
% 0.20/0.46 % (23264)------------------------------
% 0.20/0.46 % (23266)Instruction limit reached!
% 0.20/0.46 % (23266)------------------------------
% 0.20/0.46 % (23266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (23266)Termination reason: Unknown
% 0.20/0.46 % (23246)Instruction limit reached!
% 0.20/0.46 % (23246)------------------------------
% 0.20/0.46 % (23246)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (23246)Termination reason: Unknown
% 0.20/0.46 % (23246)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (23246)Memory used [KB]: 6268
% 0.20/0.46 % (23246)Time elapsed: 0.103 s
% 0.20/0.46 % (23246)Instructions burned: 276 (million)
% 0.20/0.46 % (23246)------------------------------
% 0.20/0.46 % (23246)------------------------------
% 0.20/0.47 % (23266)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (23266)Memory used [KB]: 5500
% 0.20/0.47 % (23266)Time elapsed: 0.005 s
% 0.20/0.47 % (23266)Instructions burned: 8 (million)
% 0.20/0.47 % (23266)------------------------------
% 0.20/0.47 % (23266)------------------------------
% 0.20/0.47 % (23267)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.47 % (23241)Instruction limit reached!
% 0.20/0.47 % (23241)------------------------------
% 0.20/0.47 % (23241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (23241)Termination reason: Unknown
% 0.20/0.47 % (23241)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (23241)Memory used [KB]: 6780
% 0.20/0.47 % (23241)Time elapsed: 0.104 s
% 0.20/0.47 % (23241)Instructions burned: 185 (million)
% 0.20/0.47 % (23241)------------------------------
% 0.20/0.47 % (23241)------------------------------
% 0.20/0.47 % (23268)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)
% 0.20/0.47 % (23269)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)
% 0.20/0.47 % (23271)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.48 % (23269)Instruction limit reached!
% 0.20/0.48 % (23269)------------------------------
% 0.20/0.48 % (23269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (23269)Termination reason: Unknown
% 0.20/0.48 % (23269)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (23269)Memory used [KB]: 5628
% 0.20/0.48 % (23269)Time elapsed: 0.007 s
% 0.20/0.48 % (23269)Instructions burned: 19 (million)
% 0.20/0.48 % (23269)------------------------------
% 0.20/0.48 % (23269)------------------------------
% 0.20/0.48 % (23271)Instruction limit reached!
% 0.20/0.48 % (23271)------------------------------
% 0.20/0.48 % (23271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (23271)Termination reason: Unknown
% 0.20/0.48 % (23271)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (23271)Memory used [KB]: 5628
% 0.20/0.48 % (23271)Time elapsed: 0.007 s
% 0.20/0.48 % (23271)Instructions burned: 17 (million)
% 0.20/0.48 % (23271)------------------------------
% 0.20/0.48 % (23271)------------------------------
% 0.20/0.49 % (23272)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.49 % (23272)Instruction limit reached!
% 0.20/0.49 % (23272)------------------------------
% 0.20/0.49 % (23272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (23272)Termination reason: Unknown
% 0.20/0.49 % (23272)Termination phase: Property scanning
% 0.20/0.49
% 0.20/0.49 % (23272)Memory used [KB]: 1023
% 0.20/0.49 % (23272)Time elapsed: 0.002 s
% 0.20/0.49 % (23272)Instructions burned: 3 (million)
% 0.20/0.49 % (23272)------------------------------
% 0.20/0.49 % (23272)------------------------------
% 0.20/0.49 % (23273)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.49 % (23273)Refutation not found, incomplete strategy
% 0.20/0.49 % (23273)------------------------------
% 0.20/0.49 % (23273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (23273)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 % (23273)Memory used [KB]: 5500
% 0.20/0.49 % (23273)Time elapsed: 0.003 s
% 0.20/0.49 % (23273)Instructions burned: 6 (million)
% 0.20/0.49 % (23273)------------------------------
% 0.20/0.49 % (23273)------------------------------
% 0.20/0.49 % (23270)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)
% 0.20/0.49 % (23274)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)
% 0.20/0.50 % (23275)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)
% 0.20/0.52 % (23252)First to succeed.
% 0.20/0.53 % (23252)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% 0.20/0.53 thf(func_def_0, type, in: $i > $i > $o).
% 0.20/0.53 thf(func_def_1, type, dsetconstr: $i > ($i > $o) > $i).
% 0.20/0.53 thf(func_def_21, type, ph1: !>[X0: $tType]:(X0)).
% 0.20/0.53 thf(func_def_24, type, sK4: $i > $o).
% 0.20/0.53 thf(func_def_25, type, sK5: $i > $o).
% 0.20/0.53 thf(f1351,plain,(
% 0.20/0.53 $false),
% 0.20/0.53 inference(avatar_sat_refutation,[],[f160,f821,f1350])).
% 0.20/0.53 thf(f1350,plain,(
% 0.20/0.53 ~spl0_1),
% 0.20/0.53 inference(avatar_contradiction_clause,[],[f1349])).
% 0.20/0.53 thf(f1349,plain,(
% 0.20/0.53 $false | ~spl0_1),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f1348])).
% 0.20/0.53 thf(f1348,plain,(
% 0.20/0.53 ($true = $false) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f1347])).
% 0.20/0.53 thf(f1347,plain,(
% 0.20/0.53 ((~ $true) = $true) | ~spl0_1),
% 0.20/0.53 inference(forward_demodulation,[],[f1340,f881])).
% 0.20/0.53 thf(f881,plain,(
% 0.20/0.53 ($true = (in @ sK7 @ sK2)) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f869])).
% 0.20/0.53 thf(f869,plain,(
% 0.20/0.53 ($true = ($true => (in @ sK7 @ sK2))) | ~spl0_1),
% 0.20/0.53 inference(superposition,[],[f58,f835])).
% 0.20/0.53 thf(f835,plain,(
% 0.20/0.53 ($true = (in @ sK7 @ (dsetconstr @ sK2 @ sK4))) | ~spl0_1),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f830])).
% 0.20/0.53 thf(f830,plain,(
% 0.20/0.53 (((in @ sK7 @ (dsetconstr @ sK2 @ sK4)) => (in @ sK7 @ (dsetconstr @ sK2 @ sK5))) = $false) | ~spl0_1),
% 0.20/0.53 inference(beta_eta_normalization,[],[f827])).
% 0.20/0.53 thf(f827,plain,(
% 0.20/0.53 (((^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK4)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK5)))) @ sK7) = $false) | ~spl0_1),
% 0.20/0.53 inference(sigma_clausification,[],[f824])).
% 0.20/0.53 thf(f824,plain,(
% 0.20/0.53 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK4)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK5))))) = $false) | ~spl0_1),
% 0.20/0.53 inference(not_proxy_clausification,[],[f156])).
% 0.20/0.53 thf(f156,plain,(
% 0.20/0.53 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK4)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK5))))))) | ~spl0_1),
% 0.20/0.53 inference(avatar_component_clause,[],[f155])).
% 0.20/0.53 thf(f155,plain,(
% 0.20/0.53 spl0_1 <=> ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK4)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK5)))))))),
% 0.20/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.20/0.53 thf(f58,plain,(
% 0.20/0.53 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((in @ X2 @ (dsetconstr @ X3 @ X1)) => (in @ X2 @ X3)))) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f57])).
% 0.20/0.53 thf(f57,plain,(
% 0.20/0.53 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((in @ X2 @ (dsetconstr @ Y0 @ X1)) => (in @ X2 @ Y0))) @ X3))) )),
% 0.20/0.53 inference(pi_clausification,[],[f52])).
% 0.20/0.53 thf(f52,plain,(
% 0.20/0.53 ( ! [X2 : $i,X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ X2 @ (dsetconstr @ Y0 @ X1)) => (in @ X2 @ Y0)))))) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f51])).
% 0.20/0.53 thf(f51,plain,(
% 0.20/0.53 ( ! [X2 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (dsetconstr @ Y1 @ X1)) => (in @ Y0 @ Y1))))) @ X2))) )),
% 0.20/0.53 inference(pi_clausification,[],[f46])).
% 0.20/0.53 thf(f46,plain,(
% 0.20/0.53 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (dsetconstr @ Y1 @ X1)) => (in @ Y0 @ Y1)))))) = $true)) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f45])).
% 0.20/0.53 thf(f45,plain,(
% 0.20/0.53 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (in @ Y1 @ Y2))))))) @ X1))) )),
% 0.20/0.53 inference(pi_clausification,[],[f42])).
% 0.20/0.53 thf(f42,plain,(
% 0.20/0.53 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (in @ Y1 @ Y2)))))))))),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f28])).
% 0.20/0.53 thf(f28,plain,(
% 0.20/0.53 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (in @ Y1 @ Y2)))))))) => ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ Y0)) => (Y0 @ Y2)))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y2) = (dsetconstr @ Y0 @ Y3))))))))))))))) = $false)),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f25])).
% 0.20/0.53 thf(f25,plain,(
% 0.20/0.53 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ Y2)))))))))) => ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (in @ Y1 @ Y2)))))))) => ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ Y0)) => (Y0 @ Y2)))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y2) = (dsetconstr @ Y0 @ Y3)))))))))))))))) = $false)),
% 0.20/0.53 inference(not_proxy_clausification,[],[f24])).
% 0.20/0.53 thf(f24,plain,(
% 0.20/0.53 ((~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ Y2)))))))))) => ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ Y0)) => (in @ Y1 @ Y2)))))))) => ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ Y0)) => (Y0 @ Y2)))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y2) = (dsetconstr @ Y0 @ Y3))))))))))))))))) = $true)),
% 0.20/0.53 inference(beta_eta_normalization,[],[f23])).
% 0.20/0.53 thf(f23,plain,(
% 0.20/0.53 ($true = (~ ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y2 @ Y3)))))))))))) => ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (in @ Y1 @ Y2)))))))) => ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (Y0 @ Y2)))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ (^[Y4 : $i]: (Y2 @ Y4))) = (dsetconstr @ Y0 @ (^[Y4 : $i]: (Y3 @ Y4))))))))))))))))))))),
% 0.20/0.53 inference(definition_unfolding,[],[f18,f21,f20,f19,f22])).
% 0.20/0.53 thf(f22,plain,(
% 0.20/0.53 (setext = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))))),
% 0.20/0.53 inference(cnf_transformation,[],[f17])).
% 0.20/0.53 thf(f17,plain,(
% 0.20/0.53 (setext = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))))),
% 0.20/0.53 inference(fool_elimination,[],[f16])).
% 0.20/0.53 thf(f16,plain,(
% 0.20/0.53 (! [X0,X1] : (! [X2] : ((in @ X2 @ X1) => (in @ X2 @ X0)) => (! [X3] : ((in @ X3 @ X0) => (in @ X3 @ X1)) => (X0 = X1))) = setext)),
% 0.20/0.53 inference(rectify,[],[f4])).
% 0.20/0.53 thf(f4,axiom,(
% 0.20/0.53 (! [X4,X0] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X4)) => (! [X2] : ((in @ X2 @ X4) => (in @ X2 @ X0)) => (X0 = X4))) = setext)),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setext)).
% 0.20/0.53 thf(f19,plain,(
% 0.20/0.53 (dsetconstrER = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (Y0 @ Y2)))))))))),
% 0.20/0.53 inference(cnf_transformation,[],[f9])).
% 0.20/0.53 thf(f9,plain,(
% 0.20/0.53 (dsetconstrER = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (Y0 @ Y2)))))))))),
% 0.20/0.53 inference(fool_elimination,[],[f8])).
% 0.20/0.53 thf(f8,plain,(
% 0.20/0.53 (dsetconstrER = ! [X0,X1,X2 : $i > $o] : ((in @ X0 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X2 @ X3)))) => (X2 @ X0)))),
% 0.20/0.53 inference(rectify,[],[f3])).
% 0.20/0.53 thf(f3,axiom,(
% 0.20/0.53 (dsetconstrER = ! [X2,X0,X1 : $i > $o] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))) => (X1 @ X2)))),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrER)).
% 0.20/0.53 thf(f20,plain,(
% 0.20/0.53 (dsetconstrEL = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (in @ Y1 @ Y2)))))))))),
% 0.20/0.53 inference(cnf_transformation,[],[f13])).
% 0.20/0.53 thf(f13,plain,(
% 0.20/0.53 (dsetconstrEL = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ (dsetconstr @ Y2 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (in @ Y1 @ Y2)))))))))),
% 0.20/0.53 inference(fool_elimination,[],[f12])).
% 0.20/0.53 thf(f12,plain,(
% 0.20/0.53 (! [X0,X1,X2 : $i > $o] : ((in @ X1 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X2 @ X3)))) => (in @ X1 @ X0)) = dsetconstrEL)),
% 0.20/0.53 inference(rectify,[],[f2])).
% 0.20/0.53 thf(f2,axiom,(
% 0.20/0.53 (! [X0,X2,X1 : $i > $o] : ((in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))) => (in @ X2 @ X0)) = dsetconstrEL)),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrEL)).
% 0.20/0.53 thf(f21,plain,(
% 0.20/0.53 (dsetconstrI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y2 @ Y3)))))))))))))),
% 0.20/0.53 inference(cnf_transformation,[],[f15])).
% 0.20/0.53 thf(f15,plain,(
% 0.20/0.53 (dsetconstrI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y2 @ Y3)))))))))))))),
% 0.20/0.53 inference(fool_elimination,[],[f14])).
% 0.20/0.53 thf(f14,plain,(
% 0.20/0.53 (dsetconstrI = ! [X0 : $i > $o,X1,X2] : ((in @ X2 @ X1) => ((X0 @ X2) => (in @ X2 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X0 @ X3)))))))),
% 0.20/0.53 inference(rectify,[],[f1])).
% 0.20/0.53 thf(f1,axiom,(
% 0.20/0.53 (dsetconstrI = ! [X1 : $i > $o,X0,X2] : ((in @ X2 @ X0) => ((X1 @ X2) => (in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))))))),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrI)).
% 0.20/0.53 thf(f18,plain,(
% 0.20/0.53 ($true = (~ (dsetconstrI => (dsetconstrEL => (dsetconstrER => (setext => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ (^[Y4 : $i]: (Y2 @ Y4))) = (dsetconstr @ Y0 @ (^[Y4 : $i]: (Y3 @ Y4))))))))))))))))))))),
% 0.20/0.53 inference(cnf_transformation,[],[f11])).
% 0.20/0.53 thf(f11,plain,(
% 0.20/0.53 ($true = (~ (dsetconstrI => (dsetconstrEL => (dsetconstrER => (setext => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ (^[Y4 : $i]: (Y2 @ Y4))) = (dsetconstr @ Y0 @ (^[Y4 : $i]: (Y3 @ Y4))))))))))))))))))))),
% 0.20/0.53 inference(fool_elimination,[],[f10])).
% 0.20/0.53 thf(f10,plain,(
% 0.20/0.53 ~(dsetconstrI => (dsetconstrEL => (dsetconstrER => (setext => ! [X0,X1] : ((X0 = X1) => ! [X2 : $i > $o,X3 : $i > $o] : (! [X4] : ((in @ X4 @ X0) => ! [X5] : ((in @ X5 @ X1) => ((X4 = X5) => ((X3 @ X4) <=> (X2 @ X5))))) => ((dsetconstr @ X0 @ (^[X6 : $i] : (X3 @ X6))) = (dsetconstr @ X1 @ (^[X7 : $i] : (X2 @ X7))))))))))),
% 0.20/0.53 inference(rectify,[],[f6])).
% 0.20/0.53 thf(f6,negated_conjecture,(
% 0.20/0.53 ~(dsetconstrI => (dsetconstrEL => (dsetconstrER => (setext => ! [X0,X4] : ((X0 = X4) => ! [X5 : $i > $o,X1 : $i > $o] : (! [X2] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X4) => ((X2 = X3) => ((X1 @ X2) <=> (X5 @ X3))))) => ((dsetconstr @ X0 @ (^[X2 : $i] : (X1 @ X2))) = (dsetconstr @ X4 @ (^[X2 : $i] : (X5 @ X2))))))))))),
% 0.20/0.53 inference(negated_conjecture,[],[f5])).
% 0.20/0.53 thf(f5,conjecture,(
% 0.20/0.53 dsetconstrI => (dsetconstrEL => (dsetconstrER => (setext => ! [X0,X4] : ((X0 = X4) => ! [X5 : $i > $o,X1 : $i > $o] : (! [X2] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X4) => ((X2 = X3) => ((X1 @ X2) <=> (X5 @ X3))))) => ((dsetconstr @ X0 @ (^[X2 : $i] : (X1 @ X2))) = (dsetconstr @ X4 @ (^[X2 : $i] : (X5 @ X2)))))))))),
% 0.20/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstr__Cong)).
% 0.20/0.53 thf(f1340,plain,(
% 0.20/0.53 ((~ (in @ sK7 @ sK2)) = $true) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f1339])).
% 0.20/0.53 thf(f1339,plain,(
% 0.20/0.53 ($true = ((in @ sK7 @ sK2) => $false)) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f1338])).
% 0.20/0.53 thf(f1338,plain,(
% 0.20/0.53 ($true = ((in @ sK7 @ sK2) => (~ $true))) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f1337])).
% 0.20/0.53 thf(f1337,plain,(
% 0.20/0.53 ($true = ((in @ sK7 @ sK2) => (~ (sK7 = sK7)))) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f1335])).
% 0.20/0.53 thf(f1335,plain,(
% 0.20/0.53 (((in @ sK7 @ sK2) => ((sK7 = sK7) => $false)) = $true) | ~spl0_1),
% 0.20/0.53 inference(superposition,[],[f1333,f887])).
% 0.20/0.53 thf(f887,plain,(
% 0.20/0.53 ((sK5 @ sK7) = $false) | ~spl0_1),
% 0.20/0.53 inference(not_proxy_clausification,[],[f886])).
% 0.20/0.53 thf(f886,plain,(
% 0.20/0.53 ($true = (~ (sK5 @ sK7))) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f885])).
% 0.20/0.53 thf(f885,plain,(
% 0.20/0.53 ($true = ($true => (~ (sK5 @ sK7)))) | ~spl0_1),
% 0.20/0.53 inference(backward_demodulation,[],[f863,f881])).
% 0.20/0.53 thf(f863,plain,(
% 0.20/0.53 ($true = ((in @ sK7 @ sK2) => (~ (sK5 @ sK7)))) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f853])).
% 0.20/0.53 thf(f853,plain,(
% 0.20/0.53 (((in @ sK7 @ sK2) => ((sK5 @ sK7) => $false)) = $true) | ~spl0_1),
% 0.20/0.53 inference(superposition,[],[f39,f834])).
% 0.20/0.53 thf(f834,plain,(
% 0.20/0.53 ((in @ sK7 @ (dsetconstr @ sK2 @ sK5)) = $false) | ~spl0_1),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f830])).
% 0.20/0.53 thf(f39,plain,(
% 0.20/0.53 ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : (($true = ((in @ X1 @ X2) => ((X3 @ X1) => (in @ X1 @ (dsetconstr @ X2 @ X3)))))) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f38])).
% 0.20/0.53 thf(f38,plain,(
% 0.20/0.53 ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: ((in @ X1 @ X2) => ((Y0 @ X1) => (in @ X1 @ (dsetconstr @ X2 @ Y0))))) @ X3) = $true)) )),
% 0.20/0.53 inference(pi_clausification,[],[f37])).
% 0.20/0.53 thf(f37,plain,(
% 0.20/0.53 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((in @ X1 @ X2) => ((Y0 @ X1) => (in @ X1 @ (dsetconstr @ X2 @ Y0)))))))) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f36])).
% 0.20/0.53 thf(f36,plain,(
% 0.20/0.53 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((in @ X1 @ Y0) => ((Y1 @ X1) => (in @ X1 @ (dsetconstr @ Y0 @ Y1))))))) @ X2) = $true)) )),
% 0.20/0.53 inference(pi_clausification,[],[f35])).
% 0.20/0.53 thf(f35,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((in @ X1 @ Y0) => ((Y1 @ X1) => (in @ X1 @ (dsetconstr @ Y0 @ Y1)))))))))) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f34])).
% 0.20/0.53 thf(f34,plain,(
% 0.20/0.53 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ Y2))))))))) @ X1) = $true)) )),
% 0.20/0.53 inference(pi_clausification,[],[f29])).
% 0.20/0.53 thf(f29,plain,(
% 0.20/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ Y2)))))))))))),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f25])).
% 0.20/0.53 thf(f1333,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (($true = ((in @ X1 @ sK2) => ((sK7 = X1) => (sK5 @ X1))))) ) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f1332])).
% 0.20/0.53 thf(f1332,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (($true = ((in @ X1 @ sK2) => ((sK7 = X1) => ($true = (sK5 @ X1)))))) ) | ~spl0_1),
% 0.20/0.53 inference(forward_demodulation,[],[f1331,f840])).
% 0.20/0.53 thf(f840,plain,(
% 0.20/0.53 ($true = (sK4 @ sK7)) | ~spl0_1),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f839])).
% 0.20/0.53 thf(f839,plain,(
% 0.20/0.53 ($true = $false) | ($true = (sK4 @ sK7)) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f837])).
% 0.20/0.53 thf(f837,plain,(
% 0.20/0.53 (($false => (in @ sK7 @ (dsetconstr @ sK2 @ sK5))) = $false) | ($true = (sK4 @ sK7)) | ~spl0_1),
% 0.20/0.53 inference(superposition,[],[f830,f94])).
% 0.20/0.53 thf(f94,plain,(
% 0.20/0.53 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($false = (in @ X3 @ (dsetconstr @ X2 @ X1))) | ((X1 @ X3) = $true)) )),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f93])).
% 0.20/0.53 thf(f93,plain,(
% 0.20/0.53 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((in @ X3 @ (dsetconstr @ X2 @ X1)) => (X1 @ X3)))) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f92])).
% 0.20/0.53 thf(f92,plain,(
% 0.20/0.53 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ X2 @ X1)) => (X1 @ Y0))) @ X3))) )),
% 0.20/0.53 inference(pi_clausification,[],[f91])).
% 0.20/0.53 thf(f91,plain,(
% 0.20/0.53 ( ! [X2 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ X2 @ X1)) => (X1 @ Y0)))) = $true)) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f90])).
% 0.20/0.53 thf(f90,plain,(
% 0.20/0.53 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (dsetconstr @ Y0 @ X1)) => (X1 @ Y1))))) @ X2) = $true)) )),
% 0.20/0.53 inference(pi_clausification,[],[f65])).
% 0.20/0.53 thf(f65,plain,(
% 0.20/0.53 ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (dsetconstr @ Y0 @ X1)) => (X1 @ Y1)))))))) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f64])).
% 0.20/0.53 thf(f64,plain,(
% 0.20/0.53 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ Y0)) => (Y0 @ Y2))))))) @ X1))) )),
% 0.20/0.53 inference(pi_clausification,[],[f48])).
% 0.20/0.53 thf(f48,plain,(
% 0.20/0.53 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ Y0)) => (Y0 @ Y2)))))))))),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f44])).
% 0.20/0.53 thf(f44,plain,(
% 0.20/0.53 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ Y0)) => (Y0 @ Y2)))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y2) = (dsetconstr @ Y0 @ Y3)))))))))))))) = $false)),
% 0.20/0.53 inference(boolean_simplification,[],[f43])).
% 0.20/0.53 thf(f43,plain,(
% 0.20/0.53 (($true => ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ Y0)) => (Y0 @ Y2)))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y2) = (dsetconstr @ Y0 @ Y3))))))))))))))) = $false)),
% 0.20/0.53 inference(backward_demodulation,[],[f28,f42])).
% 0.20/0.53 thf(f1331,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (($true = ((in @ X1 @ sK2) => ((sK7 = X1) => ((sK4 @ sK7) = (sK5 @ X1)))))) ) | ~spl0_1),
% 0.20/0.53 inference(beta_eta_normalization,[],[f1328])).
% 0.20/0.53 thf(f1328,plain,(
% 0.20/0.53 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ sK2) => ((sK7 = Y0) => ((sK4 @ sK7) = (sK5 @ Y0))))) @ X1) = $true)) ) | ~spl0_1),
% 0.20/0.53 inference(pi_clausification,[],[f901])).
% 0.20/0.53 thf(f901,plain,(
% 0.20/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK2) => ((sK7 = Y0) => ((sK4 @ sK7) = (sK5 @ Y0))))))) | ~spl0_1),
% 0.20/0.53 inference(boolean_simplification,[],[f895])).
% 0.20/0.53 thf(f895,plain,(
% 0.20/0.53 ($true = ($true => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK2) => ((sK7 = Y0) => ((sK4 @ sK7) = (sK5 @ Y0)))))))) | ~spl0_1),
% 0.20/0.53 inference(superposition,[],[f98,f881])).
% 0.20/0.53 thf(f98,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (($true = ((in @ X1 @ sK2) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK2) => ((X1 = Y0) => ((sK4 @ X1) = (sK5 @ Y0))))))))) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f97])).
% 0.20/0.53 thf(f97,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ sK2) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK2) => ((Y0 = Y1) => ((sK4 @ Y0) = (sK5 @ Y1)))))))) @ X1))) )),
% 0.20/0.53 inference(pi_clausification,[],[f83])).
% 0.20/0.53 thf(f83,plain,(
% 0.20/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK2) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK2) => ((Y0 = Y1) => ((sK4 @ Y0) = (sK5 @ Y1))))))))))),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f80])).
% 0.20/0.53 thf(f80,plain,(
% 0.20/0.53 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK2) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK2) => ((Y0 = Y1) => ((sK4 @ Y0) = (sK5 @ Y1))))))))) => ((dsetconstr @ sK2 @ sK4) = (dsetconstr @ sK2 @ sK5))) = $false)),
% 0.20/0.53 inference(forward_demodulation,[],[f79,f70])).
% 0.20/0.53 thf(f70,plain,(
% 0.20/0.53 (sK2 = sK3)),
% 0.20/0.53 inference(equality_proxy_clausification,[],[f67])).
% 0.20/0.53 thf(f67,plain,(
% 0.20/0.53 ((sK3 = sK2) = $true)),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f63])).
% 0.20/0.53 thf(f63,plain,(
% 0.20/0.53 (((sK3 = sK2) => (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK3) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ sK2) => ((Y2 = Y3) => ((Y0 @ Y2) = (Y1 @ Y3))))))))) => ((dsetconstr @ sK3 @ Y0) = (dsetconstr @ sK2 @ Y1)))))))) = $false)),
% 0.20/0.53 inference(beta_eta_normalization,[],[f62])).
% 0.20/0.53 thf(f62,plain,(
% 0.20/0.53 (((^[Y0 : $i]: ((Y0 = sK2) => (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ sK2) => ((Y3 = Y4) => ((Y1 @ Y3) = (Y2 @ Y4))))))))) => ((dsetconstr @ Y0 @ Y1) = (dsetconstr @ sK2 @ Y2))))))))) @ sK3) = $false)),
% 0.20/0.53 inference(sigma_clausification,[],[f60])).
% 0.20/0.53 thf(f60,plain,(
% 0.20/0.53 ((!! @ $i @ (^[Y0 : $i]: ((Y0 = sK2) => (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) => (!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ sK2) => ((Y3 = Y4) => ((Y1 @ Y3) = (Y2 @ Y4))))))))) => ((dsetconstr @ Y0 @ Y1) = (dsetconstr @ sK2 @ Y2)))))))))) = $false)),
% 0.20/0.53 inference(beta_eta_normalization,[],[f59])).
% 0.20/0.53 thf(f59,plain,(
% 0.20/0.53 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y2) = (dsetconstr @ Y0 @ Y3))))))))))) @ sK2) = $false)),
% 0.20/0.53 inference(sigma_clausification,[],[f56])).
% 0.20/0.53 thf(f56,plain,(
% 0.20/0.53 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y2) = (dsetconstr @ Y0 @ Y3)))))))))))) = $false)),
% 0.20/0.53 inference(boolean_simplification,[],[f55])).
% 0.20/0.53 thf(f55,plain,(
% 0.20/0.53 (($true => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y2) = (dsetconstr @ Y0 @ Y3))))))))))))) = $false)),
% 0.20/0.53 inference(backward_demodulation,[],[f50,f54])).
% 0.20/0.53 thf(f54,plain,(
% 0.20/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))))),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f50])).
% 0.20/0.53 thf(f50,plain,(
% 0.20/0.53 ($false = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y2) = (dsetconstr @ Y0 @ Y3))))))))))))))),
% 0.20/0.53 inference(boolean_simplification,[],[f49])).
% 0.20/0.53 thf(f49,plain,(
% 0.20/0.53 (($true => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0))))))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((Y1 = Y0) => (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) => (!! @ $i @ (^[Y5 : $i]: ((in @ Y5 @ Y0) => ((Y4 = Y5) => ((Y2 @ Y4) = (Y3 @ Y5))))))))) => ((dsetconstr @ Y1 @ Y2) = (dsetconstr @ Y0 @ Y3)))))))))))))) = $false)),
% 0.20/0.53 inference(backward_demodulation,[],[f44,f48])).
% 0.20/0.53 thf(f79,plain,(
% 0.20/0.53 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK3) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK2) => ((Y0 = Y1) => ((sK4 @ Y0) = (sK5 @ Y1))))))))) => ((dsetconstr @ sK3 @ sK4) = (dsetconstr @ sK2 @ sK5))) = $false)),
% 0.20/0.53 inference(beta_eta_normalization,[],[f78])).
% 0.20/0.53 thf(f78,plain,(
% 0.20/0.53 (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK3) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK2) => ((Y1 = Y2) => ((sK4 @ Y1) = (Y0 @ Y2))))))))) => ((dsetconstr @ sK3 @ sK4) = (dsetconstr @ sK2 @ Y0)))) @ sK5) = $false)),
% 0.20/0.53 inference(sigma_clausification,[],[f77])).
% 0.20/0.53 thf(f77,plain,(
% 0.20/0.53 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK3) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK2) => ((Y1 = Y2) => ((sK4 @ Y1) = (Y0 @ Y2))))))))) => ((dsetconstr @ sK3 @ sK4) = (dsetconstr @ sK2 @ Y0))))))),
% 0.20/0.53 inference(beta_eta_normalization,[],[f76])).
% 0.20/0.53 thf(f76,plain,(
% 0.20/0.53 ($false = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK3) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ sK2) => ((Y2 = Y3) => ((Y0 @ Y2) = (Y1 @ Y3))))))))) => ((dsetconstr @ sK3 @ Y0) = (dsetconstr @ sK2 @ Y1)))))) @ sK4))),
% 0.20/0.53 inference(sigma_clausification,[],[f69])).
% 0.20/0.53 thf(f69,plain,(
% 0.20/0.53 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK3) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ sK2) => ((Y2 = Y3) => ((Y0 @ Y2) = (Y1 @ Y3))))))))) => ((dsetconstr @ sK3 @ Y0) = (dsetconstr @ sK2 @ Y1))))))) = $false)),
% 0.20/0.53 inference(boolean_simplification,[],[f68])).
% 0.20/0.53 thf(f68,plain,(
% 0.20/0.53 ($false = ($true => (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK3) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ sK2) => ((Y2 = Y3) => ((Y0 @ Y2) = (Y1 @ Y3))))))))) => ((dsetconstr @ sK3 @ Y0) = (dsetconstr @ sK2 @ Y1)))))))))),
% 0.20/0.53 inference(backward_demodulation,[],[f63,f67])).
% 0.20/0.53 thf(f821,plain,(
% 0.20/0.53 ~spl0_2),
% 0.20/0.53 inference(avatar_contradiction_clause,[],[f820])).
% 0.20/0.53 thf(f820,plain,(
% 0.20/0.53 $false | ~spl0_2),
% 0.20/0.53 inference(trivial_inequality_removal,[],[f819])).
% 0.20/0.53 thf(f819,plain,(
% 0.20/0.53 ($true = $false) | ~spl0_2),
% 0.20/0.53 inference(boolean_simplification,[],[f818])).
% 0.20/0.53 thf(f818,plain,(
% 0.20/0.53 ((~ $true) = $true) | ~spl0_2),
% 0.20/0.53 inference(forward_demodulation,[],[f808,f205])).
% 0.20/0.53 thf(f205,plain,(
% 0.20/0.53 ((sK5 @ sK6) = $true) | ~spl0_2),
% 0.20/0.53 inference(boolean_simplification,[],[f191])).
% 0.20/0.53 thf(f191,plain,(
% 0.20/0.53 ($true = ($true => (sK5 @ sK6))) | ~spl0_2),
% 0.20/0.53 inference(superposition,[],[f93,f171])).
% 0.20/0.53 thf(f171,plain,(
% 0.20/0.53 ($true = (in @ sK6 @ (dsetconstr @ sK2 @ sK5))) | ~spl0_2),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f169])).
% 0.20/0.53 thf(f169,plain,(
% 0.20/0.53 ($false = ((in @ sK6 @ (dsetconstr @ sK2 @ sK5)) => (in @ sK6 @ (dsetconstr @ sK2 @ sK4)))) | ~spl0_2),
% 0.20/0.53 inference(beta_eta_normalization,[],[f163])).
% 0.20/0.53 thf(f163,plain,(
% 0.20/0.53 ($false = ((^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK5)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK4)))) @ sK6)) | ~spl0_2),
% 0.20/0.53 inference(sigma_clausification,[],[f159])).
% 0.20/0.53 thf(f159,plain,(
% 0.20/0.53 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK5)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK4))))) = $false) | ~spl0_2),
% 0.20/0.53 inference(avatar_component_clause,[],[f158])).
% 0.20/0.53 thf(f158,plain,(
% 0.20/0.53 spl0_2 <=> ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK5)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK4))))) = $false)),
% 0.20/0.53 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.20/0.53 thf(f808,plain,(
% 0.20/0.53 ($true = (~ (sK5 @ sK6))) | ~spl0_2),
% 0.20/0.53 inference(boolean_simplification,[],[f807])).
% 0.20/0.53 thf(f807,plain,(
% 0.20/0.53 ($true = ($true => (~ (sK5 @ sK6)))) | ~spl0_2),
% 0.20/0.53 inference(boolean_simplification,[],[f806])).
% 0.20/0.53 thf(f806,plain,(
% 0.20/0.53 ($true = ((sK6 = sK6) => (~ (sK5 @ sK6)))) | ~spl0_2),
% 0.20/0.53 inference(boolean_simplification,[],[f805])).
% 0.20/0.53 thf(f805,plain,(
% 0.20/0.53 (($true => ((sK6 = sK6) => (~ (sK5 @ sK6)))) = $true) | ~spl0_2),
% 0.20/0.53 inference(superposition,[],[f802,f201])).
% 0.20/0.53 thf(f201,plain,(
% 0.20/0.53 ($true = (in @ sK6 @ sK2)) | ~spl0_2),
% 0.20/0.53 inference(boolean_simplification,[],[f192])).
% 0.20/0.53 thf(f192,plain,(
% 0.20/0.53 (($true => (in @ sK6 @ sK2)) = $true) | ~spl0_2),
% 0.20/0.53 inference(superposition,[],[f58,f171])).
% 0.20/0.53 thf(f802,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (($true = ((in @ X1 @ sK2) => ((sK6 = X1) => (~ (sK5 @ X1)))))) ) | ~spl0_2),
% 0.20/0.53 inference(boolean_simplification,[],[f801])).
% 0.20/0.53 thf(f801,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (($true = ((in @ X1 @ sK2) => ((sK6 = X1) => ($false = (sK5 @ X1)))))) ) | ~spl0_2),
% 0.20/0.53 inference(forward_demodulation,[],[f799,f230])).
% 0.20/0.53 thf(f230,plain,(
% 0.20/0.53 ((sK4 @ sK6) = $false) | ~spl0_2),
% 0.20/0.53 inference(not_proxy_clausification,[],[f207])).
% 0.20/0.53 thf(f207,plain,(
% 0.20/0.53 ($true = (~ (sK4 @ sK6))) | ~spl0_2),
% 0.20/0.53 inference(boolean_simplification,[],[f206])).
% 0.20/0.53 thf(f206,plain,(
% 0.20/0.53 ($true = ($true => (~ (sK4 @ sK6)))) | ~spl0_2),
% 0.20/0.53 inference(backward_demodulation,[],[f184,f201])).
% 0.20/0.53 thf(f184,plain,(
% 0.20/0.53 (((in @ sK6 @ sK2) => (~ (sK4 @ sK6))) = $true) | ~spl0_2),
% 0.20/0.53 inference(boolean_simplification,[],[f178])).
% 0.20/0.53 thf(f178,plain,(
% 0.20/0.53 (((in @ sK6 @ sK2) => ((sK4 @ sK6) => $false)) = $true) | ~spl0_2),
% 0.20/0.53 inference(superposition,[],[f39,f170])).
% 0.20/0.53 thf(f170,plain,(
% 0.20/0.53 ((in @ sK6 @ (dsetconstr @ sK2 @ sK4)) = $false) | ~spl0_2),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f169])).
% 0.20/0.53 thf(f799,plain,(
% 0.20/0.53 ( ! [X1 : $i] : ((((in @ X1 @ sK2) => ((sK6 = X1) => ((sK4 @ sK6) = (sK5 @ X1)))) = $true)) ) | ~spl0_2),
% 0.20/0.53 inference(beta_eta_normalization,[],[f797])).
% 0.20/0.53 thf(f797,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ sK2) => ((sK6 = Y0) => ((sK4 @ sK6) = (sK5 @ Y0))))) @ X1))) ) | ~spl0_2),
% 0.20/0.53 inference(pi_clausification,[],[f247])).
% 0.20/0.53 thf(f247,plain,(
% 0.20/0.53 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK2) => ((sK6 = Y0) => ((sK4 @ sK6) = (sK5 @ Y0))))))) | ~spl0_2),
% 0.20/0.53 inference(boolean_simplification,[],[f238])).
% 0.20/0.53 thf(f238,plain,(
% 0.20/0.53 ($true = ($true => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK2) => ((sK6 = Y0) => ((sK4 @ sK6) = (sK5 @ Y0)))))))) | ~spl0_2),
% 0.20/0.53 inference(superposition,[],[f98,f201])).
% 0.20/0.53 thf(f160,plain,(
% 0.20/0.53 spl0_1 | spl0_2),
% 0.20/0.53 inference(avatar_split_clause,[],[f153,f158,f155])).
% 0.20/0.53 thf(f153,plain,(
% 0.20/0.53 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK4)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK5))))))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK5)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK4))))) = $false)),
% 0.20/0.53 inference(binary_proxy_clausification,[],[f149])).
% 0.20/0.53 thf(f149,plain,(
% 0.20/0.53 (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK5)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK4))))) => (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK4)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK5))))))) = $true)),
% 0.20/0.53 inference(boolean_simplification,[],[f148])).
% 0.20/0.53 thf(f148,plain,(
% 0.20/0.53 ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK5)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK4))))) => ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ sK2 @ sK4)) => (in @ Y0 @ (dsetconstr @ sK2 @ sK5))))) => $false)))),
% 0.20/0.53 inference(superposition,[],[f129,f85])).
% 0.20/0.53 thf(f85,plain,(
% 0.20/0.53 (((dsetconstr @ sK2 @ sK4) = (dsetconstr @ sK2 @ sK5)) = $false)),
% 0.20/0.53 inference(boolean_simplification,[],[f84])).
% 0.20/0.53 thf(f84,plain,(
% 0.20/0.53 (($true => ((dsetconstr @ sK2 @ sK4) = (dsetconstr @ sK2 @ sK5))) = $false)),
% 0.20/0.53 inference(backward_demodulation,[],[f80,f83])).
% 0.20/0.53 thf(f129,plain,(
% 0.20/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => (in @ Y0 @ X2)))) => ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))) => (X2 = X1))))) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f128])).
% 0.20/0.53 thf(f128,plain,(
% 0.20/0.53 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => (in @ Y1 @ Y0)))) => ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) => (Y0 = X1)))) @ X2))) )),
% 0.20/0.53 inference(pi_clausification,[],[f122])).
% 0.20/0.53 thf(f122,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => (in @ Y1 @ Y0)))) => ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) => (Y0 = X1))))) = $true)) )),
% 0.20/0.53 inference(beta_eta_normalization,[],[f121])).
% 0.20/0.53 thf(f121,plain,(
% 0.20/0.53 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ Y2 @ Y1)))) => ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (Y1 = Y0)))))) @ X1))) )),
% 0.20/0.53 inference(pi_clausification,[],[f54])).
% 0.20/0.53 % SZS output end Proof for theBenchmark
% 0.20/0.53 % (23252)------------------------------
% 0.20/0.53 % (23252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (23252)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (23252)Memory used [KB]: 6652
% 0.20/0.53 % (23252)Time elapsed: 0.135 s
% 0.20/0.53 % (23252)Instructions burned: 240 (million)
% 0.20/0.53 % (23252)------------------------------
% 0.20/0.53 % (23252)------------------------------
% 0.20/0.53 % (23240)Success in time 0.161 s
% 0.20/0.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------