TSTP Solution File: SEU595^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU595^1 : TPTP v8.2.0. Released v3.7.0.
% 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 : n022.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 03:49:50 EDT 2024
% Result : Theorem 2.68s 0.76s
% Output : Refutation 2.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SEU595^1 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.12 % 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
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun May 19 15:29:08 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 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
% 0.11/0.36 % (18371)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.11/0.36 % (18370)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.36 % (18372)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.11/0.36 % (18373)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.36 % (18374)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.36 % (18375)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.11/0.36 % (18376)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.36 % (18373)Instruction limit reached!
% 0.11/0.36 % (18373)------------------------------
% 0.11/0.36 % (18373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (18373)Termination reason: Unknown
% 0.11/0.36 % (18373)Termination phase: shuffling
% 0.11/0.36
% 0.11/0.36 % (18373)Memory used [KB]: 1151
% 0.11/0.36 % (18374)Instruction limit reached!
% 0.11/0.36 % (18374)------------------------------
% 0.11/0.36 % (18374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (18373)Time elapsed: 0.003 s
% 0.11/0.36 % (18373)Instructions burned: 3 (million)
% 0.11/0.36 % (18373)------------------------------
% 0.11/0.36 % (18373)------------------------------
% 0.11/0.36 % (18374)Termination reason: Unknown
% 0.11/0.36 % (18374)Termination phase: shuffling
% 0.11/0.36
% 0.11/0.36 % (18374)Memory used [KB]: 1151
% 0.11/0.36 % (18374)Time elapsed: 0.003 s
% 0.11/0.36 % (18374)Instructions burned: 3 (million)
% 0.11/0.36 % (18374)------------------------------
% 0.11/0.36 % (18374)------------------------------
% 0.11/0.36 % (18371)Instruction limit reached!
% 0.11/0.36 % (18371)------------------------------
% 0.11/0.36 % (18371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (18371)Termination reason: Unknown
% 0.11/0.36 % (18371)Termination phase: shuffling
% 0.11/0.36
% 0.11/0.36 % (18371)Memory used [KB]: 1279
% 0.11/0.36 % (18371)Time elapsed: 0.004 s
% 0.11/0.36 % (18371)Instructions burned: 5 (million)
% 0.11/0.36 % (18371)------------------------------
% 0.11/0.36 % (18371)------------------------------
% 0.11/0.36 % (18377)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.37 % (18376)Instruction limit reached!
% 0.11/0.37 % (18376)------------------------------
% 0.11/0.37 % (18376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (18376)Termination reason: Unknown
% 0.11/0.37 % (18376)Termination phase: Preprocessing 3
% 0.11/0.37
% 0.11/0.37 % (18376)Memory used [KB]: 1663
% 0.11/0.37 % (18376)Time elapsed: 0.011 s
% 0.11/0.37 % (18376)Instructions burned: 19 (million)
% 0.11/0.37 % (18376)------------------------------
% 0.11/0.37 % (18376)------------------------------
% 0.11/0.37 % (18377)Instruction limit reached!
% 0.11/0.37 % (18377)------------------------------
% 0.11/0.37 % (18377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (18377)Termination reason: Unknown
% 0.11/0.37 % (18377)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (18377)Memory used [KB]: 1151
% 0.11/0.37 % (18377)Time elapsed: 0.004 s
% 0.11/0.37 % (18377)Instructions burned: 4 (million)
% 0.11/0.37 % (18377)------------------------------
% 0.11/0.37 % (18377)------------------------------
% 0.11/0.37 % (18372)Instruction limit reached!
% 0.11/0.37 % (18372)------------------------------
% 0.11/0.37 % (18372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (18372)Termination reason: Unknown
% 0.11/0.37 % (18372)Termination phase: Property scanning
% 0.11/0.37
% 0.11/0.37 % (18372)Memory used [KB]: 1535
% 0.11/0.37 % (18372)Time elapsed: 0.014 s
% 0.11/0.37 % (18372)Instructions burned: 28 (million)
% 0.11/0.37 % (18372)------------------------------
% 0.11/0.37 % (18372)------------------------------
% 0.11/0.37 % (18379)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.11/0.37 % (18378)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.11/0.37 % (18380)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.37 % (18380)Instruction limit reached!
% 0.11/0.37 % (18380)------------------------------
% 0.11/0.37 % (18380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (18380)Termination reason: Unknown
% 0.11/0.37 % (18380)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (18380)Memory used [KB]: 1151
% 0.11/0.37 % (18380)Time elapsed: 0.003 s
% 0.11/0.37 % (18380)Instructions burned: 3 (million)
% 0.11/0.37 % (18380)------------------------------
% 0.11/0.37 % (18380)------------------------------
% 0.11/0.38 % (18379)Instruction limit reached!
% 0.11/0.38 % (18379)------------------------------
% 0.11/0.38 % (18379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (18379)Termination reason: Unknown
% 0.11/0.38 % (18379)Termination phase: Naming
% 0.11/0.38
% 0.11/0.38 % (18379)Memory used [KB]: 1535
% 0.11/0.38 % (18379)Time elapsed: 0.009 s
% 0.11/0.38 % (18379)Instructions burned: 15 (million)
% 0.11/0.38 % (18379)------------------------------
% 0.11/0.38 % (18379)------------------------------
% 0.11/0.38 % (18381)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.11/0.38 % (18383)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.11/0.38 % (18382)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.39 % (18382)Instruction limit reached!
% 0.11/0.39 % (18382)------------------------------
% 0.11/0.39 % (18382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (18382)Termination reason: Unknown
% 0.11/0.39 % (18382)Termination phase: shuffling
% 0.11/0.39
% 0.11/0.39 % (18382)Memory used [KB]: 1279
% 0.11/0.39 % (18382)Time elapsed: 0.005 s
% 0.11/0.39 % (18382)Instructions burned: 8 (million)
% 0.11/0.39 % (18382)------------------------------
% 0.11/0.39 % (18382)------------------------------
% 0.11/0.39 % (18378)Instruction limit reached!
% 0.11/0.39 % (18378)------------------------------
% 0.11/0.39 % (18378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (18378)Termination reason: Unknown
% 0.11/0.39 % (18378)Termination phase: Function definition elimination
% 0.11/0.39
% 0.11/0.39 % (18378)Memory used [KB]: 1535
% 0.11/0.39 % (18378)Time elapsed: 0.017 s
% 0.11/0.39 % (18378)Instructions burned: 38 (million)
% 0.11/0.39 % (18378)------------------------------
% 0.11/0.39 % (18378)------------------------------
% 0.11/0.39 % (18384)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.11/0.39 % (18383)Instruction limit reached!
% 0.11/0.39 % (18383)------------------------------
% 0.11/0.39 % (18383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (18383)Termination reason: Unknown
% 0.11/0.39 % (18383)Termination phase: Property scanning
% 0.11/0.39
% 0.11/0.39 % (18383)Memory used [KB]: 1535
% 0.11/0.39 % (18383)Time elapsed: 0.009 s
% 0.11/0.39 % (18383)Instructions burned: 17 (million)
% 0.11/0.39 % (18383)------------------------------
% 0.11/0.39 % (18383)------------------------------
% 0.11/0.39 % (18384)Instruction limit reached!
% 0.11/0.39 % (18384)------------------------------
% 0.11/0.39 % (18384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (18384)Termination reason: Unknown
% 0.11/0.39 % (18384)Termination phase: shuffling
% 0.11/0.39
% 0.11/0.39 % (18384)Memory used [KB]: 1151
% 0.11/0.39 % (18384)Time elapsed: 0.003 s
% 0.11/0.39 % (18384)Instructions burned: 3 (million)
% 0.11/0.39 % (18384)------------------------------
% 0.11/0.39 % (18384)------------------------------
% 0.17/0.40 % (18385)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)
% 0.17/0.40 % (18385)Instruction limit reached!
% 0.17/0.40 % (18385)------------------------------
% 0.17/0.40 % (18385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (18385)Termination reason: Unknown
% 0.17/0.40 % (18385)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (18385)Memory used [KB]: 1151
% 0.17/0.40 % (18385)Time elapsed: 0.003 s
% 0.17/0.40 % (18385)Instructions burned: 3 (million)
% 0.17/0.40 % (18385)------------------------------
% 0.17/0.40 % (18385)------------------------------
% 0.17/0.40 % (18387)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)
% 0.17/0.40 % (18387)Instruction limit reached!
% 0.17/0.40 % (18387)------------------------------
% 0.17/0.40 % (18387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (18387)Termination reason: Unknown
% 0.17/0.40 % (18387)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (18387)Memory used [KB]: 1151
% 0.17/0.40 % (18387)Time elapsed: 0.003 s
% 0.17/0.40 % (18387)Instructions burned: 3 (million)
% 0.17/0.40 % (18387)------------------------------
% 0.17/0.40 % (18387)------------------------------
% 0.17/0.40 % (18386)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)
% 0.17/0.40 % (18389)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)
% 0.17/0.40 % (18388)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.40 % (18386)Instruction limit reached!
% 0.17/0.40 % (18386)------------------------------
% 0.17/0.40 % (18386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.40 % (18386)Termination reason: Unknown
% 0.17/0.40 % (18386)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (18386)Memory used [KB]: 1279
% 0.17/0.40 % (18386)Time elapsed: 0.005 s
% 0.17/0.40 % (18386)Instructions burned: 8 (million)
% 0.17/0.40 % (18386)------------------------------
% 0.17/0.40 % (18386)------------------------------
% 0.17/0.41 % (18388)Instruction limit reached!
% 0.17/0.41 % (18388)------------------------------
% 0.17/0.41 % (18388)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (18388)Termination reason: Unknown
% 0.17/0.41 % (18388)Termination phase: shuffling
% 0.17/0.41
% 0.17/0.41 % (18388)Memory used [KB]: 1279
% 0.17/0.41 % (18388)Time elapsed: 0.004 s
% 0.17/0.41 % (18388)Instructions burned: 5 (million)
% 0.17/0.41 % (18388)------------------------------
% 0.17/0.41 % (18388)------------------------------
% 0.17/0.41 % (18389)Instruction limit reached!
% 0.17/0.41 % (18389)------------------------------
% 0.17/0.41 % (18389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (18389)Termination reason: Unknown
% 0.17/0.41 % (18389)Termination phase: Property scanning
% 0.17/0.41
% 0.17/0.41 % (18389)Memory used [KB]: 1535
% 0.17/0.41 % (18389)Time elapsed: 0.010 s
% 0.17/0.41 % (18389)Instructions burned: 19 (million)
% 0.17/0.41 % (18389)------------------------------
% 0.17/0.41 % (18389)------------------------------
% 0.17/0.41 % (18391)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.42 % (18391)Instruction limit reached!
% 0.17/0.42 % (18391)------------------------------
% 0.17/0.42 % (18391)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (18391)Termination reason: Unknown
% 0.17/0.42 % (18391)Termination phase: shuffling
% 0.17/0.42
% 0.17/0.42 % (18391)Memory used [KB]: 1279
% 0.17/0.42 % (18391)Time elapsed: 0.004 s
% 0.17/0.42 % (18391)Instructions burned: 6 (million)
% 0.17/0.42 % (18391)------------------------------
% 0.17/0.42 % (18391)------------------------------
% 0.17/0.42 % (18390)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.42 % (18393)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)
% 0.17/0.42 % (18392)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)
% 0.17/0.43 % (18394)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.43 % (18393)Instruction limit reached!
% 0.17/0.43 % (18393)------------------------------
% 0.17/0.43 % (18393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (18394)Instruction limit reached!
% 0.17/0.43 % (18394)------------------------------
% 0.17/0.43 % (18394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (18393)Termination reason: Unknown
% 0.17/0.43 % (18393)Termination phase: Property scanning
% 0.17/0.43
% 0.17/0.43 % (18393)Memory used [KB]: 1535
% 0.17/0.43 % (18393)Time elapsed: 0.011 s
% 0.17/0.43 % (18393)Instructions burned: 21 (million)
% 0.17/0.43 % (18393)------------------------------
% 0.17/0.43 % (18393)------------------------------
% 0.17/0.43 % (18394)Termination reason: Unknown
% 0.17/0.43 % (18394)Termination phase: shuffling
% 0.17/0.43
% 0.17/0.43 % (18394)Memory used [KB]: 1279
% 0.17/0.43 % (18394)Time elapsed: 0.004 s
% 0.17/0.43 % (18394)Instructions burned: 6 (million)
% 0.17/0.43 % (18394)------------------------------
% 0.17/0.43 % (18394)------------------------------
% 0.17/0.43 % (18395)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)
% 0.17/0.43 % (18395)Instruction limit reached!
% 0.17/0.43 % (18395)------------------------------
% 0.17/0.43 % (18395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.43 % (18395)Termination reason: Unknown
% 0.17/0.43 % (18395)Termination phase: shuffling
% 0.17/0.43
% 0.17/0.43 % (18395)Memory used [KB]: 1279
% 0.17/0.43 % (18395)Time elapsed: 0.005 s
% 0.17/0.43 % (18395)Instructions burned: 7 (million)
% 0.17/0.43 % (18395)------------------------------
% 0.17/0.43 % (18395)------------------------------
% 0.17/0.44 % (18370)Instruction limit reached!
% 0.17/0.44 % (18370)------------------------------
% 0.17/0.44 % (18370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.44 % (18370)Termination reason: Unknown
% 0.17/0.44 % (18370)Termination phase: Saturation
% 0.17/0.44
% 0.17/0.44 % (18370)Memory used [KB]: 7036
% 0.17/0.44 % (18370)Time elapsed: 0.087 s
% 0.17/0.44 % (18370)Instructions burned: 184 (million)
% 0.17/0.44 % (18370)------------------------------
% 0.17/0.44 % (18370)------------------------------
% 0.17/0.44 % (18397)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.17/0.44 % (18396)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.17/0.45 % (18398)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.17/0.46 % (18399)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.17/0.46 % (18398)Instruction limit reached!
% 0.17/0.46 % (18398)------------------------------
% 0.17/0.46 % (18398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.46 % (18398)Termination reason: Unknown
% 0.17/0.46 % (18398)Termination phase: Property scanning
% 0.17/0.46
% 0.17/0.46 % (18398)Memory used [KB]: 1535
% 0.17/0.46 % (18398)Time elapsed: 0.010 s
% 0.17/0.46 % (18398)Instructions burned: 19 (million)
% 0.17/0.46 % (18398)------------------------------
% 0.17/0.46 % (18398)------------------------------
% 0.17/0.47 % (18400)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.17/0.48 % (18400)Instruction limit reached!
% 0.17/0.48 % (18400)------------------------------
% 0.17/0.48 % (18400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.48 % (18400)Termination reason: Unknown
% 0.17/0.48 % (18400)Termination phase: Property scanning
% 0.17/0.48
% 0.17/0.48 % (18400)Memory used [KB]: 1535
% 0.17/0.48 % (18400)Time elapsed: 0.010 s
% 0.17/0.48 % (18400)Instructions burned: 18 (million)
% 0.17/0.48 % (18400)------------------------------
% 0.17/0.48 % (18400)------------------------------
% 0.17/0.49 % (18375)Instruction limit reached!
% 0.17/0.49 % (18375)------------------------------
% 0.17/0.49 % (18375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.49 % (18375)Termination reason: Unknown
% 0.17/0.49 % (18375)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (18375)Memory used [KB]: 7675
% 0.17/0.49 % (18375)Time elapsed: 0.137 s
% 0.17/0.49 % (18375)Instructions burned: 275 (million)
% 0.17/0.49 % (18375)------------------------------
% 0.17/0.49 % (18375)------------------------------
% 0.17/0.50 % (18401)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.17/0.50 % (18401)Instruction limit reached!
% 0.17/0.50 % (18401)------------------------------
% 0.17/0.50 % (18401)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.50 % (18401)Termination reason: Unknown
% 0.17/0.50 % (18401)Termination phase: shuffling
% 0.17/0.50
% 0.17/0.50 % (18401)Memory used [KB]: 1151
% 0.17/0.50 % (18401)Time elapsed: 0.003 s
% 0.17/0.50 % (18401)Instructions burned: 3 (million)
% 0.17/0.50 % (18401)------------------------------
% 0.17/0.50 % (18401)------------------------------
% 0.17/0.51 % (18402)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.42/0.51 % (18403)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)
% 1.42/0.52 % (18402)Instruction limit reached!
% 1.42/0.52 % (18402)------------------------------
% 1.42/0.52 % (18402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.42/0.52 % (18402)Termination reason: Unknown
% 1.42/0.52 % (18402)Termination phase: Property scanning
% 1.42/0.52
% 1.42/0.52 % (18402)Memory used [KB]: 1535
% 1.42/0.52 % (18402)Time elapsed: 0.015 s
% 1.42/0.52 % (18402)Instructions burned: 31 (million)
% 1.42/0.52 % (18402)------------------------------
% 1.42/0.52 % (18402)------------------------------
% 1.52/0.54 % (18404)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)
% 1.52/0.57 % (18403)Instruction limit reached!
% 1.52/0.57 % (18403)------------------------------
% 1.52/0.57 % (18403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.57 % (18403)Termination reason: Unknown
% 1.52/0.57 % (18403)Termination phase: Saturation
% 1.52/0.57
% 1.52/0.57 % (18403)Memory used [KB]: 6780
% 1.52/0.57 % (18403)Time elapsed: 0.082 s
% 1.52/0.57 % (18403)Instructions burned: 128 (million)
% 1.52/0.57 % (18403)------------------------------
% 1.52/0.57 % (18403)------------------------------
% 1.52/0.58 % (18404)Instruction limit reached!
% 1.52/0.58 % (18404)------------------------------
% 1.52/0.58 % (18404)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.58 % (18404)Termination reason: Unknown
% 1.52/0.58 % (18404)Termination phase: Saturation
% 1.52/0.58
% 1.52/0.58 % (18404)Memory used [KB]: 6268
% 1.52/0.58 % (18404)Time elapsed: 0.047 s
% 1.52/0.58 % (18404)Instructions burned: 100 (million)
% 1.52/0.58 % (18404)------------------------------
% 1.52/0.58 % (18404)------------------------------
% 1.52/0.58 % (18405)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 (2997ds/3Mi)
% 1.52/0.59 % (18405)Instruction limit reached!
% 1.52/0.59 % (18405)------------------------------
% 1.52/0.59 % (18405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.59 % (18405)Termination reason: Unknown
% 1.52/0.59 % (18405)Termination phase: shuffling
% 1.52/0.59
% 1.52/0.59 % (18405)Memory used [KB]: 1151
% 1.52/0.59 % (18405)Time elapsed: 0.003 s
% 1.52/0.59 % (18405)Instructions burned: 3 (million)
% 1.52/0.59 % (18405)------------------------------
% 1.52/0.59 % (18405)------------------------------
% 1.52/0.60 % (18407)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)
% 1.52/0.61 % (18406)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 (2997ds/20Mi)
% 2.20/0.62 % (18396)Instruction limit reached!
% 2.20/0.62 % (18396)------------------------------
% 2.20/0.62 % (18396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.62 % (18396)Termination reason: Unknown
% 2.20/0.62 % (18396)Termination phase: Saturation
% 2.20/0.62
% 2.20/0.62 % (18396)Memory used [KB]: 7291
% 2.20/0.62 % (18396)Time elapsed: 0.182 s
% 2.20/0.62 % (18396)Instructions burned: 378 (million)
% 2.20/0.62 % (18396)------------------------------
% 2.20/0.62 % (18396)------------------------------
% 2.20/0.62 % (18406)Instruction limit reached!
% 2.20/0.62 % (18406)------------------------------
% 2.20/0.62 % (18406)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.62 % (18406)Termination reason: Unknown
% 2.20/0.62 % (18406)Termination phase: Preprocessing 3
% 2.20/0.62
% 2.20/0.62 % (18406)Memory used [KB]: 1535
% 2.20/0.62 % (18406)Time elapsed: 0.009 s
% 2.20/0.62 % (18406)Instructions burned: 21 (million)
% 2.20/0.62 % (18406)------------------------------
% 2.20/0.62 % (18406)------------------------------
% 2.20/0.64 % (18407)Instruction limit reached!
% 2.20/0.64 % (18407)------------------------------
% 2.20/0.64 % (18407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.64 % (18407)Termination reason: Unknown
% 2.20/0.64 % (18407)Termination phase: Saturation
% 2.20/0.64
% 2.20/0.64 % (18407)Memory used [KB]: 6524
% 2.20/0.64 % (18407)Time elapsed: 0.039 s
% 2.20/0.64 % (18407)Instructions burned: 87 (million)
% 2.20/0.64 % (18407)------------------------------
% 2.20/0.64 % (18407)------------------------------
% 2.20/0.64 % (18409)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)
% 2.20/0.65 % (18408)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)
% 2.20/0.65 % (18409)Instruction limit reached!
% 2.20/0.65 % (18409)------------------------------
% 2.20/0.65 % (18409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.65 % (18409)Termination reason: Unknown
% 2.20/0.65 % (18409)Termination phase: Function definition elimination
% 2.20/0.65
% 2.20/0.65 % (18409)Memory used [KB]: 1663
% 2.20/0.65 % (18409)Time elapsed: 0.018 s
% 2.20/0.65 % (18409)Instructions burned: 39 (million)
% 2.20/0.65 % (18409)------------------------------
% 2.20/0.65 % (18409)------------------------------
% 2.20/0.67 % (18411)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 (2996ds/46Mi)
% 2.20/0.67 % (18410)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 (2996ds/448Mi)
% 2.20/0.69 % (18411)Instruction limit reached!
% 2.20/0.69 % (18411)------------------------------
% 2.20/0.69 % (18411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.69 % (18411)Termination reason: Unknown
% 2.20/0.69 % (18411)Termination phase: Twee Goal Transformation
% 2.20/0.69
% 2.20/0.69 % (18411)Memory used [KB]: 1535
% 2.20/0.69 % (18411)Time elapsed: 0.021 s
% 2.20/0.69 % (18411)Instructions burned: 46 (million)
% 2.20/0.69 % (18411)------------------------------
% 2.20/0.69 % (18411)------------------------------
% 2.68/0.69 % (18408)Instruction limit reached!
% 2.68/0.69 % (18408)------------------------------
% 2.68/0.69 % (18408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.69 % (18408)Termination reason: Unknown
% 2.68/0.69 % (18408)Termination phase: Saturation
% 2.68/0.69
% 2.68/0.70 % (18408)Memory used [KB]: 6652
% 2.68/0.70 % (18408)Time elapsed: 0.048 s
% 2.68/0.70 % (18408)Instructions burned: 107 (million)
% 2.68/0.70 % (18408)------------------------------
% 2.68/0.70 % (18408)------------------------------
% 2.68/0.70 % (18412)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 (2996ds/98Mi)
% 2.68/0.70 % (18397)Instruction limit reached!
% 2.68/0.70 % (18397)------------------------------
% 2.68/0.70 % (18397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.70 % (18397)Termination reason: Unknown
% 2.68/0.70 % (18397)Termination phase: Saturation
% 2.68/0.70
% 2.68/0.70 % (18397)Memory used [KB]: 6524
% 2.68/0.70 % (18397)Time elapsed: 0.265 s
% 2.68/0.70 % (18397)Instructions burned: 780 (million)
% 2.68/0.70 % (18397)------------------------------
% 2.68/0.70 % (18397)------------------------------
% 2.68/0.71 % (18381)Instruction limit reached!
% 2.68/0.71 % (18381)------------------------------
% 2.68/0.71 % (18381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.71 % (18381)Termination reason: Unknown
% 2.68/0.71 % (18381)Termination phase: Saturation
% 2.68/0.71
% 2.68/0.71 % (18381)Memory used [KB]: 8187
% 2.68/0.71 % (18381)Time elapsed: 0.318 s
% 2.68/0.71 % (18381)Instructions burned: 1044 (million)
% 2.68/0.71 % (18381)------------------------------
% 2.68/0.71 % (18381)------------------------------
% 2.68/0.71 % (18413)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 (2996ds/507Mi)
% 2.68/0.71 % (18414)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 (2996ds/149Mi)
% 2.68/0.73 % (18415)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.68/0.74 % (18412)Instruction limit reached!
% 2.68/0.74 % (18412)------------------------------
% 2.68/0.74 % (18412)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.74 % (18412)Termination reason: Unknown
% 2.68/0.74 % (18412)Termination phase: Saturation
% 2.68/0.74
% 2.68/0.74 % (18412)Memory used [KB]: 1663
% 2.68/0.74 % (18412)Time elapsed: 0.041 s
% 2.68/0.74 % (18412)Instructions burned: 98 (million)
% 2.68/0.74 % (18412)------------------------------
% 2.68/0.74 % (18412)------------------------------
% 2.68/0.75 % (18415)Instruction limit reached!
% 2.68/0.75 % (18415)------------------------------
% 2.68/0.75 % (18415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.75 % (18415)Termination reason: Unknown
% 2.68/0.75 % (18415)Termination phase: Property scanning
% 2.68/0.75
% 2.68/0.75 % (18415)Memory used [KB]: 1535
% 2.68/0.75 % (18415)Time elapsed: 0.016 s
% 2.68/0.75 % (18415)Instructions burned: 41 (million)
% 2.68/0.75 % (18415)------------------------------
% 2.68/0.75 % (18415)------------------------------
% 2.68/0.75 % (18399)First to succeed.
% 2.68/0.76 % (18399)Refutation found. Thanks to Tanya!
% 2.68/0.76 % SZS status Theorem for theBenchmark
% 2.68/0.76 % SZS output start Proof for theBenchmark
% 2.68/0.76 thf(func_def_0, type, in: $i > $i > $o).
% 2.68/0.76 thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.68/0.76 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.68/0.76 thf(func_def_8, type, powerset: $i > $i).
% 2.68/0.76 thf(func_def_10, type, setunion: $i > $i).
% 2.68/0.76 thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.68/0.76 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.68/0.76 thf(func_def_26, type, prop2set: $o > $i).
% 2.68/0.76 thf(func_def_36, type, nonempty: $i > $o).
% 2.68/0.76 thf(func_def_69, type, set2prop: $i > $o).
% 2.68/0.76 thf(func_def_88, type, subset: $i > $i > $o).
% 2.68/0.76 thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.68/0.76 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.68/0.76 thf(func_def_114, type, binunion: $i > $i > $i).
% 2.68/0.76 thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.68/0.76 thf(func_def_150, type, sK4: $i > $i > $i).
% 2.68/0.76 thf(func_def_151, type, sK5: $i > $i > $i).
% 2.68/0.76 thf(func_def_152, type, sK6: $i > $i > $i).
% 2.68/0.76 thf(func_def_153, type, sK7: ($i > $o) > $i).
% 2.68/0.76 thf(func_def_154, type, sK8: $i > $i).
% 2.68/0.76 thf(func_def_155, type, sK9: ($i > $i > $o) > $i > $i).
% 2.68/0.76 thf(func_def_156, type, sK10: ($i > $i > $o) > $i > $i).
% 2.68/0.76 thf(func_def_157, type, sK11: $i > ($i > $i > $o) > $i > $i).
% 2.68/0.76 thf(func_def_158, type, sK12: ($i > $i > $o) > $i > $i).
% 2.68/0.76 thf(func_def_159, type, sK13: ($i > $i > $o) > $i > $i).
% 2.68/0.76 thf(func_def_160, type, sK14: ($i > $o) > $i).
% 2.68/0.76 thf(func_def_161, type, sK15: $i > $i).
% 2.68/0.76 thf(func_def_162, type, sK16: $i > $i > $i).
% 2.68/0.76 thf(func_def_163, type, sK17: $i > $i > $i).
% 2.68/0.76 thf(func_def_164, type, sK18: $i > $i).
% 2.68/0.76 thf(func_def_165, type, sK19: $i > $i > $i).
% 2.68/0.76 thf(func_def_166, type, sK20: $i > $i > $i).
% 2.68/0.76 thf(func_def_167, type, sK21: ($i > $o) > ($i > $o) > $i).
% 2.68/0.76 thf(func_def_168, type, sK22: ($i > $o) > ($i > $o) > $i).
% 2.68/0.76 thf(func_def_169, type, sK23: $i > $i > $i).
% 2.68/0.76 thf(func_def_170, type, sK24: $i > $i).
% 2.68/0.76 thf(func_def_171, type, sK25: ($i > $o) > $i > $i).
% 2.68/0.76 thf(func_def_172, type, sK26: $i > $i > $i).
% 2.68/0.76 thf(func_def_173, type, sK27: ($i > $o) > $i > $i).
% 2.68/0.76 thf(func_def_174, type, sK28: $i > $i).
% 2.68/0.76 thf(func_def_175, type, sK29: $i > $i > $i).
% 2.68/0.76 thf(func_def_176, type, sK30: $i > $i > $i).
% 2.68/0.76 thf(func_def_177, type, sK31: $i > $i > $i).
% 2.68/0.76 thf(func_def_178, type, sK32: $i > $i > $i).
% 2.68/0.76 thf(func_def_179, type, sK33: $i > $i > $i > $i).
% 2.68/0.76 thf(func_def_180, type, sK34: ($i > $o) > ($i > $o) > $i).
% 2.68/0.76 thf(func_def_181, type, sK35: ($i > $o) > ($i > $o) > $i).
% 2.68/0.76 thf(func_def_182, type, sK36: $o > $i > $i > $i).
% 2.68/0.76 thf(func_def_183, type, sK37: $i > ($i > $o) > $i).
% 2.68/0.76 thf(func_def_184, type, sK38: ($i > $o) > $i > ($i > $o) > $i > $i).
% 2.68/0.76 thf(func_def_185, type, sK39: $i > $i > ($i > $o) > ($i > $o) > $i).
% 2.68/0.76 thf(func_def_186, type, sK40: ($i > $o) > $i).
% 2.68/0.76 thf(func_def_187, type, sK41: ($i > $o) > $i).
% 2.68/0.76 thf(func_def_188, type, sK42: ($i > $o) > $i > $i).
% 2.68/0.76 thf(func_def_189, type, sK43: ($i > $o) > $i > $i).
% 2.68/0.76 thf(func_def_190, type, sK44: $i > ($i > $o) > $i).
% 2.68/0.76 thf(func_def_191, type, sK45: $i > ($i > $o) > $i).
% 2.68/0.76 thf(func_def_192, type, sK46: ($i > $o) > $i).
% 2.68/0.76 thf(func_def_193, type, sK47: $i > $i).
% 2.68/0.76 thf(func_def_194, type, sK48: $i > ($i > $o) > $i).
% 2.68/0.76 thf(func_def_195, type, sK49: $i > $i).
% 2.68/0.76 thf(func_def_196, type, ph50: !>[X0: $tType]:(X0)).
% 2.68/0.76 thf(f3775,plain,(
% 2.68/0.76 $false),
% 2.68/0.76 inference(avatar_sat_refutation,[],[f1774,f2858,f3774])).
% 2.68/0.76 thf(f3774,plain,(
% 2.68/0.76 ~spl3_1),
% 2.68/0.76 inference(avatar_contradiction_clause,[],[f3773])).
% 2.68/0.76 thf(f3773,plain,(
% 2.68/0.76 $false | ~spl3_1),
% 2.68/0.76 inference(trivial_inequality_removal,[],[f3772])).
% 2.68/0.76 thf(f3772,plain,(
% 2.68/0.76 ($false = $true) | ~spl3_1),
% 2.68/0.76 inference(forward_demodulation,[],[f3765,f2222])).
% 2.68/0.76 thf(f2222,plain,(
% 2.68/0.76 ($false = (in @ sK2 @ sK0)) | ~spl3_1),
% 2.68/0.76 inference(trivial_inequality_removal,[],[f2216])).
% 2.68/0.76 thf(f2216,plain,(
% 2.68/0.76 ($true != $true) | ($false = (in @ sK2 @ sK0)) | ~spl3_1),
% 2.68/0.76 inference(superposition,[],[f441,f1735])).
% 2.68/0.76 thf(f1735,plain,(
% 2.68/0.76 ( ! [X4 : $o] : (($true = X4) | ($false = X4)) ) | ~spl3_1),
% 2.68/0.76 inference(avatar_component_clause,[],[f1734])).
% 2.68/0.76 thf(f1734,plain,(
% 2.68/0.76 spl3_1 <=> ! [X4 : $o] : (($true = X4) | ($false = X4))),
% 2.68/0.76 introduced(avatar_definition,[new_symbols(naming,[spl3_1])])).
% 2.68/0.76 thf(f441,plain,(
% 2.68/0.76 ($true != (in @ sK2 @ sK0))),
% 2.68/0.76 inference(cnf_transformation,[],[f345])).
% 2.68/0.76 thf(f345,plain,(
% 2.68/0.76 (setadjoinSub = $true) & (binintersectSubset5 = $true) & (descr__Cong = $true) & (powersetsubset = $true) & (subsetI1 = $true) & (omega__Cong = $true) & (setunionAx = $true) & (binunionIL = $true) & (powersetI = $true) & (quantDeMorgan2 = $true) & (powersetE1 = $true) & (setadjoinIR = $true) & (quantDeMorgan3 = $true) & (setadjoinOr = $true) & (binunionLsub = $true) & (binintersectEL = $true) & (exuI3 = $true) & (exuE3u = $true) & (setunionE = $true) & (setunionI = $true) & (singletonsswitch = $true) & (in__Cong = $true) & (emptyinPowerset = $true) & (binunionIR = $true) & (emptysetsubset = $true) & (setadjoinIL = $true) & (inCongP = $true) & (prop2setE = $true) & (sepSubset = $true) & (upairsetIL = $true) & (binunionEcases = $true) & (dsetconstrEL = $true) & (subsetTrans = $true) & (noeltsimpempty = $true) & (subsetemptysetimpeq = $true) & (vacuousDall = $true) & (eqinunit = $true) & (powersetI1 = $true) & (subsetI2 = $true) & (replAx = $true) & (nonemptyE1 = $true) & (setadjoinSub2 = $true) & (powersetAx = $true) & (eqimpsubset1 = $true) & (foundationAx = $true) & (uniqinunit = $true) & (setadjoinAx = $true) & (sepInPowerset = $true) & (upairsetE = $true) & (binunionRsub = $true) & (exuE3e = $true) & (setoftrueEq = $true) & (omegaSAx = $true) & (descrp = $true) & (subset2powerset = $true) & (nonemptyImpWitness = $true) & (setext = $true) & (emptysetimpfalse = $true) & (setbeta = $true) & (binintersectSubset3 = $true) & (notdallE = $true) & (prop2setI = $true) & (notinsingleton = $true) & (subPowSU = $true) & (binintersectI = $true) & (emptysetE = $true) & (emptyinunitempty = $true) & (setextAx = $true) & (omegaIndAx = $true) & (binintersectLsub = $true) & (($true = (in @ sK2 @ (binintersect @ sK1 @ sK0))) & ($true != (in @ sK2 @ sK0))) & (upairsetIR = $true) & (emptysetAx = $true) & (exuE2 = $true) & (exu__Cong = $true) & (binunionE = $true) & (binintersectSubset2 = $true) & (powerset__Cong = $true) & (quantDeMorgan1 = $true) & (dsetconstrER = $true) & (inPowerset = $true) & (notequalI2 = $true) & (setadjoin__Cong = $true) & (nonemptyI1 = $true) & (emptyset__Cong = $true) & (notdexE = $true) & (setextsub = $true) & (setadjoinE = $true) & (eqimpsubset2 = $true) & (notsubsetI = $true) & (exuI1 = $true) & (dsetconstrI = $true) & (exuI2 = $true) & (prop2set2propI = $true) & (emptyInPowerset = $true) & (notinemptyset = $true) & (subsetRefl = $true) & (wellorderingAx = $true) & (upairset2IR = $true) & (powersetE = $true) & (quantDeMorgan4 = $true) & (omega0Ax = $true) & (notequalI1 = $true) & (subsetE = $true) & (exuE1 = $true) & (emptyI = $true) & (dsetconstr__Cong = $true) & (nonemptyI = $true) & (emptyE1 = $true) & (setunion__Cong = $true) & (exuEu = $true) & (subsetE2 = $true)),
% 2.68/0.76 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f343,f344])).
% 2.68/0.76 thf(f344,plain,(
% 2.68/0.76 ? [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) & ((in @ X2 @ X0) != $true)) => (($true = (in @ sK2 @ (binintersect @ sK1 @ sK0))) & ($true != (in @ sK2 @ sK0)))),
% 2.68/0.76 introduced(choice_axiom,[])).
% 2.68/0.76 thf(f343,plain,(
% 2.68/0.76 (setadjoinSub = $true) & (binintersectSubset5 = $true) & (descr__Cong = $true) & (powersetsubset = $true) & (subsetI1 = $true) & (omega__Cong = $true) & (setunionAx = $true) & (binunionIL = $true) & (powersetI = $true) & (quantDeMorgan2 = $true) & (powersetE1 = $true) & (setadjoinIR = $true) & (quantDeMorgan3 = $true) & (setadjoinOr = $true) & (binunionLsub = $true) & (binintersectEL = $true) & (exuI3 = $true) & (exuE3u = $true) & (setunionE = $true) & (setunionI = $true) & (singletonsswitch = $true) & (in__Cong = $true) & (emptyinPowerset = $true) & (binunionIR = $true) & (emptysetsubset = $true) & (setadjoinIL = $true) & (inCongP = $true) & (prop2setE = $true) & (sepSubset = $true) & (upairsetIL = $true) & (binunionEcases = $true) & (dsetconstrEL = $true) & (subsetTrans = $true) & (noeltsimpempty = $true) & (subsetemptysetimpeq = $true) & (vacuousDall = $true) & (eqinunit = $true) & (powersetI1 = $true) & (subsetI2 = $true) & (replAx = $true) & (nonemptyE1 = $true) & (setadjoinSub2 = $true) & (powersetAx = $true) & (eqimpsubset1 = $true) & (foundationAx = $true) & (uniqinunit = $true) & (setadjoinAx = $true) & (sepInPowerset = $true) & (upairsetE = $true) & (binunionRsub = $true) & (exuE3e = $true) & (setoftrueEq = $true) & (omegaSAx = $true) & (descrp = $true) & (subset2powerset = $true) & (nonemptyImpWitness = $true) & (setext = $true) & (emptysetimpfalse = $true) & (setbeta = $true) & (binintersectSubset3 = $true) & (notdallE = $true) & (prop2setI = $true) & (notinsingleton = $true) & (subPowSU = $true) & (binintersectI = $true) & (emptysetE = $true) & (emptyinunitempty = $true) & (setextAx = $true) & (omegaIndAx = $true) & (binintersectLsub = $true) & ? [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) & ((in @ X2 @ X0) != $true)) & (upairsetIR = $true) & (emptysetAx = $true) & (exuE2 = $true) & (exu__Cong = $true) & (binunionE = $true) & (binintersectSubset2 = $true) & (powerset__Cong = $true) & (quantDeMorgan1 = $true) & (dsetconstrER = $true) & (inPowerset = $true) & (notequalI2 = $true) & (setadjoin__Cong = $true) & (nonemptyI1 = $true) & (emptyset__Cong = $true) & (notdexE = $true) & (setextsub = $true) & (setadjoinE = $true) & (eqimpsubset2 = $true) & (notsubsetI = $true) & (exuI1 = $true) & (dsetconstrI = $true) & (exuI2 = $true) & (prop2set2propI = $true) & (emptyInPowerset = $true) & (notinemptyset = $true) & (subsetRefl = $true) & (wellorderingAx = $true) & (upairset2IR = $true) & (powersetE = $true) & (quantDeMorgan4 = $true) & (omega0Ax = $true) & (notequalI1 = $true) & (subsetE = $true) & (exuE1 = $true) & (emptyI = $true) & (dsetconstr__Cong = $true) & (nonemptyI = $true) & (emptyE1 = $true) & (setunion__Cong = $true) & (exuEu = $true) & (subsetE2 = $true)),
% 2.68/0.76 inference(flattening,[],[f342])).
% 2.68/0.76 thf(f342,plain,(
% 2.68/0.76 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) & ((in @ X2 @ X0) != $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 2.68/0.76 inference(ennf_transformation,[],[f167])).
% 2.68/0.76 thf(f167,plain,(
% 2.68/0.76 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ! [X0,X1,X2] : (((in @ X2 @ (binintersect @ X1 @ X0)) = $true) => ((in @ X2 @ X0) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.68/0.76 inference(fool_elimination,[],[f166])).
% 2.68/0.76 thf(f166,plain,(
% 2.68/0.76 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => ! [X0,X1,X2] : ((in @ X2 @ (binintersect @ X1 @ X0)) => (in @ X2 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.68/0.76 inference(rectify,[],[f116])).
% 2.68/0.76 thf(f116,negated_conjecture,(
% 2.68/0.76 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => ! [X4,X3,X1] : ((in @ X1 @ (binintersect @ X3 @ X4)) => (in @ X1 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.68/0.76 inference(negated_conjecture,[],[f115])).
% 2.68/0.76 thf(f115,conjecture,(
% 2.68/0.76 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => ! [X4,X3,X1] : ((in @ X1 @ (binintersect @ X3 @ X4)) => (in @ X1 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.68/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectER)).
% 2.68/0.76 thf(f3765,plain,(
% 2.68/0.76 ($true = (in @ sK2 @ sK0))),
% 2.68/0.76 inference(beta_eta_normalization,[],[f3764])).
% 2.68/0.76 thf(f3764,plain,(
% 2.68/0.76 (((^[Y0 : $i]: (in @ Y0 @ sK0)) @ sK2) = $true)),
% 2.68/0.76 inference(trivial_inequality_removal,[],[f3758])).
% 2.68/0.76 thf(f3758,plain,(
% 2.68/0.76 (((^[Y0 : $i]: (in @ Y0 @ sK0)) @ sK2) = $true) | ($false = $true)),
% 2.68/0.76 inference(superposition,[],[f1299,f811])).
% 2.68/0.76 thf(f811,plain,(
% 2.68/0.76 ($true = (in @ sK2 @ (dsetconstr @ sK1 @ (^[Y0 : $i]: (in @ Y0 @ sK0)))))),
% 2.68/0.76 inference(beta_eta_normalization,[],[f604])).
% 2.68/0.76 thf(f604,plain,(
% 2.68/0.76 ($true = (in @ sK2 @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))) @ sK1 @ sK0)))),
% 2.68/0.76 inference(definition_unfolding,[],[f442,f519])).
% 2.68/0.76 thf(f519,plain,(
% 2.68/0.76 (binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))))),
% 2.68/0.76 inference(cnf_transformation,[],[f304])).
% 2.68/0.76 thf(f304,plain,(
% 2.68/0.76 (binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ Y0 @ (^[Y2 : $i]: (in @ Y2 @ Y1)))))))),
% 2.68/0.76 inference(fool_elimination,[],[f303])).
% 2.68/0.76 thf(f303,plain,(
% 2.68/0.76 (binintersect = (^[X0 : $i, X1 : $i] : (dsetconstr @ X0 @ (^[X2 : $i] : (in @ X2 @ X1)))))),
% 2.68/0.76 inference(rectify,[],[f108])).
% 2.68/0.76 thf(f108,axiom,(
% 2.68/0.76 (binintersect = (^[X3 : $i, X4 : $i] : (dsetconstr @ X3 @ (^[X1 : $i] : (in @ X1 @ X4)))))),
% 2.68/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersect)).
% 2.68/0.76 thf(f442,plain,(
% 2.68/0.76 ($true = (in @ sK2 @ (binintersect @ sK1 @ sK0)))),
% 2.68/0.76 inference(cnf_transformation,[],[f345])).
% 2.68/0.76 thf(f1299,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($false = (in @ X3 @ (dsetconstr @ X2 @ X1))) | ($true = (X1 @ X3))) )),
% 2.68/0.76 inference(binary_proxy_clausification,[],[f1298])).
% 2.68/0.76 thf(f1298,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((in @ X3 @ (dsetconstr @ X2 @ X1)) => (X1 @ X3)))) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f1297])).
% 2.68/0.76 thf(f1297,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ X2 @ X1)) => (X1 @ Y0))) @ X3))) )),
% 2.68/0.76 inference(pi_clausification,[],[f1296])).
% 2.68/0.76 thf(f1296,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (dsetconstr @ X2 @ X1)) => (X1 @ Y0)))))) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f1295])).
% 2.68/0.76 thf(f1295,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (dsetconstr @ Y0 @ X1)) => (X1 @ Y1))))) @ X2) = $true)) )),
% 2.68/0.76 inference(pi_clausification,[],[f1294])).
% 2.68/0.76 thf(f1294,plain,(
% 2.68/0.76 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (dsetconstr @ Y0 @ X1)) => (X1 @ Y1)))))) = $true)) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f1293])).
% 2.68/0.76 thf(f1293,plain,(
% 2.68/0.76 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ Y0)) => (Y0 @ Y2))))))) @ X1))) )),
% 2.68/0.76 inference(pi_clausification,[],[f1292])).
% 2.68/0.76 thf(f1292,plain,(
% 2.68/0.76 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ Y0)) => (Y0 @ Y2)))))))) = $true)),
% 2.68/0.76 inference(beta_eta_normalization,[],[f609])).
% 2.68/0.76 thf(f609,plain,(
% 2.68/0.76 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (Y0 @ Y2)))))))) = $true)),
% 2.68/0.76 inference(definition_unfolding,[],[f432,f399])).
% 2.68/0.76 thf(f399,plain,(
% 2.68/0.76 (dsetconstrER = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (Y0 @ Y2)))))))))),
% 2.68/0.76 inference(cnf_transformation,[],[f127])).
% 2.68/0.76 thf(f127,plain,(
% 2.68/0.76 (dsetconstrER = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y0 @ Y3)))) => (Y0 @ Y2)))))))))),
% 2.68/0.76 inference(fool_elimination,[],[f126])).
% 2.68/0.76 thf(f126,plain,(
% 2.68/0.76 (dsetconstrER = ! [X0,X1,X2 : $i > $o] : ((in @ X0 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X2 @ X3)))) => (X2 @ X0)))),
% 2.68/0.76 inference(rectify,[],[f16])).
% 2.68/0.76 thf(f16,axiom,(
% 2.68/0.76 (dsetconstrER = ! [X1,X3,X0 : $i > $o] : ((in @ X1 @ (dsetconstr @ X3 @ (^[X2 : $i] : (X0 @ X2)))) => (X0 @ X1)))),
% 2.68/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrER)).
% 2.68/0.76 thf(f432,plain,(
% 2.68/0.76 (dsetconstrER = $true)),
% 2.68/0.76 inference(cnf_transformation,[],[f345])).
% 2.68/0.76 thf(f2858,plain,(
% 2.68/0.76 ~spl3_11),
% 2.68/0.76 inference(avatar_contradiction_clause,[],[f2857])).
% 2.68/0.76 thf(f2857,plain,(
% 2.68/0.76 $false | ~spl3_11),
% 2.68/0.76 inference(trivial_inequality_removal,[],[f2856])).
% 2.68/0.76 thf(f2856,plain,(
% 2.68/0.76 ($false = $true) | ~spl3_11),
% 2.68/0.76 inference(forward_demodulation,[],[f2660,f2594])).
% 2.68/0.76 thf(f2594,plain,(
% 2.68/0.76 ( ! [X2 : $i,X0 : $i] : (((in @ X2 @ X0) = $false)) ) | ~spl3_11),
% 2.68/0.76 inference(trivial_inequality_removal,[],[f2538])).
% 2.68/0.76 thf(f2538,plain,(
% 2.68/0.76 ( ! [X2 : $i,X0 : $i] : (((in @ X2 @ X0) = $false) | ($false = $true)) ) | ~spl3_11),
% 2.68/0.76 inference(superposition,[],[f1779,f910])).
% 2.68/0.76 thf(f910,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ (setadjoin @ X2 @ X1)) = $true)) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f909])).
% 2.68/0.76 thf(f909,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (in @ Y0 @ (setadjoin @ Y0 @ X1))) @ X2) = $true)) )),
% 2.68/0.76 inference(pi_clausification,[],[f908])).
% 2.68/0.76 thf(f908,plain,(
% 2.68/0.76 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (in @ Y0 @ (setadjoin @ Y0 @ X1)))))) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f907])).
% 2.68/0.76 thf(f907,plain,(
% 2.68/0.76 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y1 @ (setadjoin @ Y1 @ Y0))))) @ X1))) )),
% 2.68/0.76 inference(pi_clausification,[],[f647])).
% 2.68/0.76 thf(f647,plain,(
% 2.68/0.76 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y1 @ (setadjoin @ Y1 @ Y0)))))))),
% 2.68/0.76 inference(definition_unfolding,[],[f534,f487])).
% 2.68/0.76 thf(f487,plain,(
% 2.68/0.76 (setadjoinIL = $true)),
% 2.68/0.76 inference(cnf_transformation,[],[f345])).
% 2.68/0.76 thf(f534,plain,(
% 2.68/0.76 (setadjoinIL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y1 @ (setadjoin @ Y1 @ Y0)))))))),
% 2.68/0.76 inference(cnf_transformation,[],[f165])).
% 2.68/0.76 thf(f165,plain,(
% 2.68/0.76 (setadjoinIL = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (in @ Y1 @ (setadjoin @ Y1 @ Y0)))))))),
% 2.68/0.76 inference(fool_elimination,[],[f164])).
% 2.68/0.76 thf(f164,plain,(
% 2.68/0.76 (setadjoinIL = ! [X0,X1] : (in @ X0 @ (setadjoin @ X0 @ X1)))),
% 2.68/0.76 inference(rectify,[],[f31])).
% 2.68/0.76 thf(f31,axiom,(
% 2.68/0.76 (setadjoinIL = ! [X1,X2] : (in @ X1 @ (setadjoin @ X1 @ X2)))),
% 2.68/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinIL)).
% 2.68/0.76 thf(f1779,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ X1) = $false) | ((in @ X2 @ X3) = $false)) ) | ~spl3_11),
% 2.68/0.76 inference(trivial_inequality_removal,[],[f1778])).
% 2.68/0.76 thf(f1778,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = $true) | ((in @ X3 @ X1) = $false) | ((in @ X2 @ X3) = $false)) ) | ~spl3_11),
% 2.68/0.76 inference(backward_demodulation,[],[f1099,f1773])).
% 2.68/0.76 thf(f1773,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (($false = (in @ X2 @ (setunion @ X1)))) ) | ~spl3_11),
% 2.68/0.76 inference(avatar_component_clause,[],[f1772])).
% 2.68/0.76 thf(f1772,plain,(
% 2.68/0.76 spl3_11 <=> ! [X2,X1] : ($false = (in @ X2 @ (setunion @ X1)))),
% 2.68/0.76 introduced(avatar_definition,[new_symbols(naming,[spl3_11])])).
% 2.68/0.76 thf(f1099,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ X1) = $false) | ((in @ X2 @ X3) = $false) | ($true = (in @ X2 @ (setunion @ X1)))) )),
% 2.68/0.76 inference(binary_proxy_clausification,[],[f1098])).
% 2.68/0.76 thf(f1098,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ X3) = $false) | ($true = ((in @ X3 @ X1) => (in @ X2 @ (setunion @ X1))))) )),
% 2.68/0.76 inference(binary_proxy_clausification,[],[f1097])).
% 2.68/0.76 thf(f1097,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ X2 @ X3) => ((in @ X3 @ X1) => (in @ X2 @ (setunion @ X1)))))) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f1096])).
% 2.68/0.76 thf(f1096,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ X2 @ Y0) => ((in @ Y0 @ X1) => (in @ X2 @ (setunion @ X1))))) @ X3))) )),
% 2.68/0.76 inference(pi_clausification,[],[f1095])).
% 2.68/0.76 thf(f1095,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ X2 @ Y0) => ((in @ Y0 @ X1) => (in @ X2 @ (setunion @ X1)))))))) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f1094])).
% 2.68/0.76 thf(f1094,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) => ((in @ Y1 @ X1) => (in @ Y0 @ (setunion @ X1))))))) @ X2) = $true)) )),
% 2.68/0.76 inference(pi_clausification,[],[f1093])).
% 2.68/0.76 thf(f1093,plain,(
% 2.68/0.76 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ Y1) => ((in @ Y1 @ X1) => (in @ Y0 @ (setunion @ X1)))))))))) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f1092])).
% 2.68/0.76 thf(f1092,plain,(
% 2.68/0.76 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y2) => ((in @ Y2 @ Y0) => (in @ Y1 @ (setunion @ Y0))))))))) @ X1))) )),
% 2.68/0.76 inference(pi_clausification,[],[f582])).
% 2.68/0.76 thf(f582,plain,(
% 2.68/0.76 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y2) => ((in @ Y2 @ Y0) => (in @ Y1 @ (setunion @ Y0)))))))))))),
% 2.68/0.76 inference(definition_unfolding,[],[f493,f375])).
% 2.68/0.76 thf(f375,plain,(
% 2.68/0.76 (setunionI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y2) => ((in @ Y2 @ Y0) => (in @ Y1 @ (setunion @ Y0)))))))))))),
% 2.68/0.76 inference(cnf_transformation,[],[f265])).
% 2.68/0.76 thf(f265,plain,(
% 2.68/0.76 (setunionI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y2) => ((in @ Y2 @ Y0) => (in @ Y1 @ (setunion @ Y0)))))))))))),
% 2.68/0.76 inference(fool_elimination,[],[f264])).
% 2.68/0.76 thf(f264,plain,(
% 2.68/0.76 (setunionI = ! [X0,X1,X2] : ((in @ X1 @ X0) => ((in @ X0 @ X2) => (in @ X1 @ (setunion @ X2)))))),
% 2.68/0.76 inference(rectify,[],[f41])).
% 2.68/0.76 thf(f41,axiom,(
% 2.68/0.76 (setunionI = ! [X4,X1,X3] : ((in @ X1 @ X4) => ((in @ X4 @ X3) => (in @ X1 @ (setunion @ X3)))))),
% 2.68/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionI)).
% 2.68/0.76 thf(f493,plain,(
% 2.68/0.76 (setunionI = $true)),
% 2.68/0.76 inference(cnf_transformation,[],[f345])).
% 2.68/0.76 thf(f2660,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ (powerset @ X1)) = $true)) ) | ~spl3_11),
% 2.68/0.76 inference(trivial_inequality_removal,[],[f2622])).
% 2.68/0.76 thf(f2622,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (($false = $true) | ((in @ X2 @ (powerset @ X1)) = $true)) ) | ~spl3_11),
% 2.68/0.76 inference(backward_demodulation,[],[f946,f2594])).
% 2.68/0.76 thf(f946,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (($true = (in @ (sK16 @ X1 @ X2) @ X2)) | ((in @ X2 @ (powerset @ X1)) = $true)) )),
% 2.68/0.76 inference(binary_proxy_clausification,[],[f944])).
% 2.68/0.76 thf(f944,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ (powerset @ X1)) = $true) | ($false = ((in @ (sK16 @ X1 @ X2) @ X2) => (in @ (sK16 @ X1 @ X2) @ X1)))) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f943])).
% 2.68/0.76 thf(f943,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ (powerset @ X1)) = $true) | ($false = ((^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1))) @ (sK16 @ X1 @ X2)))) )),
% 2.68/0.76 inference(sigma_clausification,[],[f942])).
% 2.68/0.76 thf(f942,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1))))) | ((in @ X2 @ (powerset @ X1)) = $true)) )),
% 2.68/0.76 inference(binary_proxy_clausification,[],[f941])).
% 2.68/0.76 thf(f941,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))) => (in @ X2 @ (powerset @ X1))) = $true)) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f940])).
% 2.68/0.76 thf(f940,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) => (in @ Y0 @ (powerset @ X1)))) @ X2))) )),
% 2.68/0.76 inference(pi_clausification,[],[f939])).
% 2.68/0.76 thf(f939,plain,(
% 2.68/0.76 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) => (in @ Y0 @ (powerset @ X1))))) = $true)) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f938])).
% 2.68/0.76 thf(f938,plain,(
% 2.68/0.76 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (in @ Y1 @ (powerset @ Y0)))))) @ X1) = $true)) )),
% 2.68/0.76 inference(pi_clausification,[],[f576])).
% 2.68/0.76 thf(f576,plain,(
% 2.68/0.76 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (in @ Y1 @ (powerset @ Y0))))))))),
% 2.68/0.76 inference(definition_unfolding,[],[f504,f371])).
% 2.68/0.76 thf(f371,plain,(
% 2.68/0.76 (powersetI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (in @ Y1 @ (powerset @ Y0))))))))),
% 2.68/0.76 inference(cnf_transformation,[],[f161])).
% 2.68/0.76 thf(f161,plain,(
% 2.68/0.76 (powersetI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (in @ Y1 @ (powerset @ Y0))))))))),
% 2.68/0.76 inference(fool_elimination,[],[f160])).
% 2.68/0.76 thf(f160,plain,(
% 2.68/0.76 (powersetI = ! [X0,X1] : (! [X2] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (in @ X0 @ (powerset @ X1))))),
% 2.68/0.76 inference(rectify,[],[f37])).
% 2.68/0.76 thf(f37,axiom,(
% 2.68/0.76 (powersetI = ! [X4,X3] : (! [X1] : ((in @ X1 @ X4) => (in @ X1 @ X3)) => (in @ X4 @ (powerset @ X3))))),
% 2.68/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetI)).
% 2.68/0.76 thf(f504,plain,(
% 2.68/0.76 (powersetI = $true)),
% 2.68/0.76 inference(cnf_transformation,[],[f345])).
% 2.68/0.76 thf(f1774,plain,(
% 2.68/0.76 spl3_1 | spl3_11),
% 2.68/0.76 inference(avatar_split_clause,[],[f1349,f1772,f1734])).
% 2.68/0.76 thf(f1349,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = (in @ X2 @ (setunion @ X1))) | ($false = X3) | ($true = X3)) )),
% 2.68/0.76 inference(binary_proxy_clausification,[],[f1347])).
% 2.68/0.76 thf(f1347,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = (in @ X2 @ (setunion @ X1))) | ($true = X3) | (((in @ (sK36 @ X3 @ X1 @ X2) @ X1) => X3) = $false)) )),
% 2.68/0.76 inference(binary_proxy_clausification,[],[f1346])).
% 2.68/0.76 thf(f1346,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = ((in @ X2 @ (sK36 @ X3 @ X1 @ X2)) => ((in @ (sK36 @ X3 @ X1 @ X2) @ X1) => X3))) | ($true = X3) | ($false = (in @ X2 @ (setunion @ X1)))) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f1345])).
% 2.68/0.76 thf(f1345,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($true = X3) | ($false = ((^[Y0 : $i]: ((in @ X2 @ Y0) => ((in @ Y0 @ X1) => X3))) @ (sK36 @ X3 @ X1 @ X2))) | ($false = (in @ X2 @ (setunion @ X1)))) )),
% 2.68/0.76 inference(sigma_clausification,[],[f1344])).
% 2.68/0.76 thf(f1344,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($true = X3) | ($false = (in @ X2 @ (setunion @ X1))) | ((!! @ $i @ (^[Y0 : $i]: ((in @ X2 @ Y0) => ((in @ Y0 @ X1) => X3)))) = $false)) )),
% 2.68/0.76 inference(binary_proxy_clausification,[],[f1343])).
% 2.68/0.76 thf(f1343,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = (in @ X2 @ (setunion @ X1))) | (((!! @ $i @ (^[Y0 : $i]: ((in @ X2 @ Y0) => ((in @ Y0 @ X1) => X3)))) => X3) = $true)) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f1342])).
% 2.68/0.76 thf(f1342,plain,(
% 2.68/0.76 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($true = ((^[Y0 : $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ X2 @ Y1) => ((in @ Y1 @ X1) => Y0)))) => Y0)) @ X3)) | ($false = (in @ X2 @ (setunion @ X1)))) )),
% 2.68/0.76 inference(pi_clausification,[],[f1341])).
% 2.68/0.76 thf(f1341,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (((!! @ $o @ (^[Y0 : $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ X2 @ Y1) => ((in @ Y1 @ X1) => Y0)))) => Y0))) = $true) | ($false = (in @ X2 @ (setunion @ X1)))) )),
% 2.68/0.76 inference(binary_proxy_clausification,[],[f1340])).
% 2.68/0.76 thf(f1340,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ (setunion @ X1)) => (!! @ $o @ (^[Y0 : $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ X2 @ Y1) => ((in @ Y1 @ X1) => Y0)))) => Y0)))) = $true)) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f1339])).
% 2.68/0.76 thf(f1339,plain,(
% 2.68/0.76 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ (setunion @ X1)) => (!! @ $o @ (^[Y1 : $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y2) => ((in @ Y2 @ X1) => Y1)))) => Y1))))) @ X2))) )),
% 2.68/0.76 inference(pi_clausification,[],[f1338])).
% 2.68/0.76 thf(f1338,plain,(
% 2.68/0.76 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setunion @ X1)) => (!! @ $o @ (^[Y1 : $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y2) => ((in @ Y2 @ X1) => Y1)))) => Y1)))))))) )),
% 2.68/0.76 inference(beta_eta_normalization,[],[f1337])).
% 2.68/0.76 thf(f1337,plain,(
% 2.68/0.76 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setunion @ Y0)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y3) => ((in @ Y3 @ Y0) => Y2)))) => Y2))))))) @ X1) = $true)) )),
% 2.68/0.76 inference(pi_clausification,[],[f652])).
% 2.68/0.76 thf(f652,plain,(
% 2.68/0.76 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setunion @ Y0)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y3) => ((in @ Y3 @ Y0) => Y2)))) => Y2)))))))) = $true)),
% 2.68/0.76 inference(definition_unfolding,[],[f539,f494])).
% 2.68/0.76 thf(f494,plain,(
% 2.68/0.76 (setunionE = $true)),
% 2.68/0.76 inference(cnf_transformation,[],[f345])).
% 2.68/0.76 thf(f539,plain,(
% 2.68/0.76 (setunionE = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setunion @ Y0)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y3) => ((in @ Y3 @ Y0) => Y2)))) => Y2)))))))))),
% 2.68/0.76 inference(cnf_transformation,[],[f217])).
% 2.68/0.76 thf(f217,plain,(
% 2.68/0.76 (setunionE = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setunion @ Y0)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y3) => ((in @ Y3 @ Y0) => Y2)))) => Y2)))))))))),
% 2.68/0.76 inference(fool_elimination,[],[f216])).
% 2.68/0.76 thf(f216,plain,(
% 2.68/0.76 (! [X0,X1] : ((in @ X0 @ (setunion @ X1)) => ! [X2 : $o] : (! [X3] : ((in @ X0 @ X3) => ((in @ X3 @ X1) => X2)) => X2)) = setunionE)),
% 2.68/0.76 inference(rectify,[],[f42])).
% 2.68/0.76 thf(f42,axiom,(
% 2.68/0.76 (! [X1,X3] : ((in @ X1 @ (setunion @ X3)) => ! [X0 : $o] : (! [X4] : ((in @ X1 @ X4) => ((in @ X4 @ X3) => X0)) => X0)) = setunionE)),
% 2.68/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE)).
% 2.68/0.76 % SZS output end Proof for theBenchmark
% 2.68/0.76 % (18399)------------------------------
% 2.68/0.76 % (18399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.68/0.76 % (18399)Termination reason: Refutation
% 2.68/0.76
% 2.68/0.76 % (18399)Memory used [KB]: 7419
% 2.68/0.76 % (18399)Time elapsed: 0.321 s
% 2.68/0.76 % (18399)Instructions burned: 601 (million)
% 2.68/0.76 % (18399)------------------------------
% 2.68/0.76 % (18399)------------------------------
% 2.68/0.76 % (18369)Success in time 0.426 s
% 2.68/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------