TSTP Solution File: SEU607^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU607^1 : 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 03:49:56 EDT 2024
% Result : Theorem 0.12s 0.89s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.49 % Problem : SEU607^1 : TPTP v8.2.0. Released v3.7.0.
% 0.05/0.50 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.75 % Computer : n022.cluster.edu
% 0.10/0.75 % Model : x86_64 x86_64
% 0.10/0.75 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.75 % Memory : 8042.1875MB
% 0.10/0.75 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.75 % CPULimit : 300
% 0.10/0.75 % WCLimit : 300
% 0.10/0.75 % DateTime : Sun May 19 15:53:08 EDT 2024
% 0.10/0.75 % CPUTime :
% 0.10/0.75 This is a TH0_THM_EQU_NAR problem
% 0.10/0.75 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
% 0.12/0.77 % (10364)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.78 % (10362)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)
% 0.12/0.78 % (10360)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)
% 0.12/0.78 % (10363)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)
% 0.12/0.78 % (10358)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.79 % (10360)Instruction limit reached!
% 0.12/0.79 % (10360)------------------------------
% 0.12/0.79 % (10360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.79 % (10359)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)
% 0.12/0.79 % (10365)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)
% 0.12/0.79 % (10359)Instruction limit reached!
% 0.12/0.79 % (10359)------------------------------
% 0.12/0.79 % (10359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.79 % (10364)Instruction limit reached!
% 0.12/0.79 % (10364)------------------------------
% 0.12/0.79 % (10364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.79 % (10364)Termination reason: Unknown
% 0.12/0.79 % (10364)Termination phase: Preprocessing 3
% 0.12/0.79
% 0.12/0.79 % (10364)Memory used [KB]: 1535
% 0.12/0.79 % (10364)Time elapsed: 0.008 s
% 0.12/0.79 % (10364)Instructions burned: 19 (million)
% 0.12/0.79 % (10364)------------------------------
% 0.12/0.79 % (10364)------------------------------
% 0.12/0.79 % (10360)Termination reason: Unknown
% 0.12/0.79 % (10360)Termination phase: Property scanning
% 0.12/0.79
% 0.12/0.79 % (10360)Memory used [KB]: 1535
% 0.12/0.79 % (10360)Time elapsed: 0.009 s
% 0.12/0.79 % (10360)Instructions burned: 27 (million)
% 0.12/0.79 % (10360)------------------------------
% 0.12/0.79 % (10360)------------------------------
% 0.12/0.79 % (10362)Instruction limit reached!
% 0.12/0.79 % (10362)------------------------------
% 0.12/0.79 % (10362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.79 % (10362)Termination reason: Unknown
% 0.12/0.79 % (10362)Termination phase: shuffling
% 0.12/0.79
% 0.12/0.79 % (10362)Memory used [KB]: 1151
% 0.12/0.79 % (10362)Time elapsed: 0.004 s
% 0.12/0.79 % (10362)Instructions burned: 4 (million)
% 0.12/0.79 % (10362)------------------------------
% 0.12/0.79 % (10362)------------------------------
% 0.12/0.80 % (10359)Termination reason: Unknown
% 0.12/0.80 % (10359)Termination phase: shuffling
% 0.12/0.80
% 0.12/0.80 % (10359)Memory used [KB]: 1279
% 0.12/0.80 % (10359)Time elapsed: 0.004 s
% 0.12/0.80 % (10359)Instructions burned: 5 (million)
% 0.12/0.80 % (10359)------------------------------
% 0.12/0.80 % (10359)------------------------------
% 0.12/0.80 % (10361)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.80 % (10361)Instruction limit reached!
% 0.12/0.80 % (10361)------------------------------
% 0.12/0.80 % (10361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.80 % (10361)Termination reason: Unknown
% 0.12/0.80 % (10361)Termination phase: shuffling
% 0.12/0.80
% 0.12/0.80 % (10361)Memory used [KB]: 1151
% 0.12/0.80 % (10361)Time elapsed: 0.003 s
% 0.12/0.80 % (10361)Instructions burned: 4 (million)
% 0.12/0.80 % (10361)------------------------------
% 0.12/0.80 % (10361)------------------------------
% 0.12/0.80 % (10365)Instruction limit reached!
% 0.12/0.80 % (10365)------------------------------
% 0.12/0.80 % (10365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.80 % (10365)Termination reason: Unknown
% 0.12/0.80 % (10365)Termination phase: shuffling
% 0.12/0.80
% 0.12/0.80 % (10365)Memory used [KB]: 1279
% 0.12/0.80 % (10365)Time elapsed: 0.003 s
% 0.12/0.80 % (10365)Instructions burned: 4 (million)
% 0.12/0.80 % (10365)------------------------------
% 0.12/0.80 % (10365)------------------------------
% 0.12/0.80 % (10382)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)
% 0.12/0.81 % (10382)Instruction limit reached!
% 0.12/0.81 % (10382)------------------------------
% 0.12/0.81 % (10382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.81 % (10382)Termination reason: Unknown
% 0.12/0.81 % (10382)Termination phase: Preprocessing 2
% 0.12/0.81
% 0.12/0.81 % (10382)Memory used [KB]: 1407
% 0.12/0.81 % (10382)Time elapsed: 0.006 s
% 0.12/0.81 % (10382)Instructions burned: 16 (million)
% 0.12/0.81 % (10382)------------------------------
% 0.12/0.81 % (10382)------------------------------
% 0.12/0.81 % (10383)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)
% 0.12/0.81 % (10386)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.12/0.82 % (10386)Instruction limit reached!
% 0.12/0.82 % (10386)------------------------------
% 0.12/0.82 % (10386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.82 % (10386)Termination reason: Unknown
% 0.12/0.82 % (10386)Termination phase: shuffling
% 0.12/0.82
% 0.12/0.82 % (10386)Memory used [KB]: 1535
% 0.12/0.82 % (10386)Time elapsed: 0.007 s
% 0.12/0.82 % (10386)Instructions burned: 17 (million)
% 0.12/0.82 % (10386)------------------------------
% 0.12/0.82 % (10386)------------------------------
% 0.12/0.82 % (10381)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)
% 0.12/0.82 % (10387)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)
% 0.12/0.82 % (10384)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)
% 0.12/0.82 % (10385)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.82 % (10387)Instruction limit reached!
% 0.12/0.82 % (10387)------------------------------
% 0.12/0.82 % (10387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.82 % (10387)Termination reason: Unknown
% 0.12/0.82 % (10387)Termination phase: shuffling
% 0.12/0.82
% 0.12/0.82 % (10387)Memory used [KB]: 1151
% 0.12/0.82 % (10387)Time elapsed: 0.002 s
% 0.12/0.82 % (10387)Instructions burned: 3 (million)
% 0.12/0.82 % (10387)------------------------------
% 0.12/0.82 % (10387)------------------------------
% 0.12/0.82 % (10383)Instruction limit reached!
% 0.12/0.82 % (10383)------------------------------
% 0.12/0.82 % (10383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.82 % (10383)Termination reason: Unknown
% 0.12/0.82 % (10383)Termination phase: shuffling
% 0.12/0.82
% 0.12/0.82 % (10383)Memory used [KB]: 1151
% 0.12/0.82 % (10383)Time elapsed: 0.003 s
% 0.12/0.82 % (10383)Instructions burned: 3 (million)
% 0.12/0.82 % (10383)------------------------------
% 0.12/0.82 % (10383)------------------------------
% 0.12/0.83 % (10385)Instruction limit reached!
% 0.12/0.83 % (10385)------------------------------
% 0.12/0.83 % (10385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.83 % (10385)Termination reason: Unknown
% 0.12/0.83 % (10385)Termination phase: shuffling
% 0.12/0.83
% 0.12/0.83 % (10385)Memory used [KB]: 1279
% 0.12/0.83 % (10385)Time elapsed: 0.004 s
% 0.12/0.83 % (10385)Instructions burned: 8 (million)
% 0.12/0.83 % (10385)------------------------------
% 0.12/0.83 % (10385)------------------------------
% 0.12/0.83 % (10389)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)
% 0.12/0.83 % (10389)Instruction limit reached!
% 0.12/0.83 % (10389)------------------------------
% 0.12/0.83 % (10389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.83 % (10389)Termination reason: Unknown
% 0.12/0.83 % (10389)Termination phase: shuffling
% 0.12/0.83
% 0.12/0.83 % (10389)Memory used [KB]: 1279
% 0.12/0.83 % (10389)Time elapsed: 0.004 s
% 0.12/0.83 % (10389)Instructions burned: 7 (million)
% 0.12/0.83 % (10389)------------------------------
% 0.12/0.83 % (10389)------------------------------
% 0.12/0.84 % (10388)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)
% 0.12/0.84 % (10388)Instruction limit reached!
% 0.12/0.84 % (10388)------------------------------
% 0.12/0.84 % (10388)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.84 % (10388)Termination reason: Unknown
% 0.12/0.84 % (10388)Termination phase: shuffling
% 0.12/0.84
% 0.12/0.84 % (10388)Memory used [KB]: 1279
% 0.12/0.84 % (10388)Time elapsed: 0.003 s
% 0.12/0.84 % (10388)Instructions burned: 6 (million)
% 0.12/0.84 % (10388)------------------------------
% 0.12/0.84 % (10388)------------------------------
% 0.12/0.84 % (10392)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)
% 0.12/0.84 % (10392)Instruction limit reached!
% 0.12/0.84 % (10392)------------------------------
% 0.12/0.84 % (10392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.84 % (10392)Termination reason: Unknown
% 0.12/0.84 % (10392)Termination phase: Property scanning
% 0.12/0.84
% 0.12/0.84 % (10392)Memory used [KB]: 1535
% 0.12/0.84 % (10392)Time elapsed: 0.007 s
% 0.12/0.84 % (10392)Instructions burned: 19 (million)
% 0.12/0.84 % (10392)------------------------------
% 0.12/0.84 % (10392)------------------------------
% 0.12/0.85 % (10381)Instruction limit reached!
% 0.12/0.85 % (10381)------------------------------
% 0.12/0.85 % (10381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.85 % (10381)Termination reason: Unknown
% 0.12/0.85 % (10381)Termination phase: Property scanning
% 0.12/0.85
% 0.12/0.85 % (10381)Memory used [KB]: 1663
% 0.12/0.85 % (10381)Time elapsed: 0.012 s
% 0.12/0.85 % (10381)Instructions burned: 39 (million)
% 0.12/0.85 % (10381)------------------------------
% 0.12/0.85 % (10381)------------------------------
% 0.12/0.85 % (10391)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.12/0.85 % (10391)Instruction limit reached!
% 0.12/0.85 % (10391)------------------------------
% 0.12/0.85 % (10391)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.85 % (10391)Termination reason: Unknown
% 0.12/0.85 % (10391)Termination phase: shuffling
% 0.12/0.85
% 0.12/0.85 % (10391)Memory used [KB]: 1279
% 0.12/0.85 % (10391)Time elapsed: 0.004 s
% 0.12/0.85 % (10391)Instructions burned: 6 (million)
% 0.12/0.85 % (10391)------------------------------
% 0.12/0.85 % (10391)------------------------------
% 0.12/0.85 % (10390)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)
% 0.12/0.85 % (10390)Instruction limit reached!
% 0.12/0.85 % (10390)------------------------------
% 0.12/0.85 % (10390)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.85 % (10390)Termination reason: Unknown
% 0.12/0.85 % (10390)Termination phase: shuffling
% 0.12/0.85
% 0.12/0.85 % (10390)Memory used [KB]: 1279
% 0.12/0.85 % (10390)Time elapsed: 0.003 s
% 0.12/0.85 % (10390)Instructions burned: 5 (million)
% 0.12/0.85 % (10390)------------------------------
% 0.12/0.85 % (10390)------------------------------
% 0.12/0.85 % (10394)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.12/0.85 % (10393)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.12/0.85 % (10394)Instruction limit reached!
% 0.12/0.85 % (10394)------------------------------
% 0.12/0.85 % (10394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.85 % (10394)Termination reason: Unknown
% 0.12/0.85 % (10394)Termination phase: shuffling
% 0.12/0.85
% 0.12/0.85 % (10394)Memory used [KB]: 1279
% 0.12/0.85 % (10394)Time elapsed: 0.003 s
% 0.12/0.85 % (10394)Instructions burned: 6 (million)
% 0.12/0.85 % (10394)------------------------------
% 0.12/0.85 % (10394)------------------------------
% 0.12/0.86 % (10395)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)
% 0.12/0.86 % (10396)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)
% 0.12/0.87 % (10396)Instruction limit reached!
% 0.12/0.87 % (10396)------------------------------
% 0.12/0.87 % (10396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.87 % (10396)Termination reason: Unknown
% 0.12/0.87 % (10396)Termination phase: Property scanning
% 0.12/0.87
% 0.12/0.87 % (10396)Memory used [KB]: 1535
% 0.12/0.87 % (10396)Time elapsed: 0.008 s
% 0.12/0.87 % (10396)Instructions burned: 24 (million)
% 0.12/0.87 % (10396)------------------------------
% 0.12/0.87 % (10396)------------------------------
% 0.12/0.88 % (10397)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.12/0.88 % (10397)Instruction limit reached!
% 0.12/0.88 % (10397)------------------------------
% 0.12/0.88 % (10397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.88 % (10397)Termination reason: Unknown
% 0.12/0.88 % (10397)Termination phase: shuffling
% 0.12/0.88
% 0.12/0.88 % (10397)Memory used [KB]: 1279
% 0.12/0.88 % (10397)Time elapsed: 0.003 s
% 0.12/0.88 % (10397)Instructions burned: 7 (million)
% 0.12/0.88 % (10397)------------------------------
% 0.12/0.88 % (10397)------------------------------
% 0.12/0.88 % (10398)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)
% 0.12/0.88 % (10398)Instruction limit reached!
% 0.12/0.88 % (10398)------------------------------
% 0.12/0.88 % (10398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.88 % (10398)Termination reason: Unknown
% 0.12/0.88 % (10398)Termination phase: shuffling
% 0.12/0.88
% 0.12/0.88 % (10398)Memory used [KB]: 1279
% 0.12/0.88 % (10398)Time elapsed: 0.003 s
% 0.12/0.88 % (10398)Instructions burned: 6 (million)
% 0.12/0.88 % (10398)------------------------------
% 0.12/0.88 % (10398)------------------------------
% 0.12/0.89 % (10358)Instruction limit reached!
% 0.12/0.89 % (10358)------------------------------
% 0.12/0.89 % (10358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.89 % (10358)Termination reason: Unknown
% 0.12/0.89 % (10358)Termination phase: Saturation
% 0.12/0.89
% 0.12/0.89 % (10358)Memory used [KB]: 7036
% 0.12/0.89 % (10358)Time elapsed: 0.119 s
% 0.12/0.89 % (10358)Instructions burned: 183 (million)
% 0.12/0.89 % (10358)------------------------------
% 0.12/0.89 % (10358)------------------------------
% 0.12/0.89 % (10395)First to succeed.
% 0.12/0.89 % (10399)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.12/0.89 % (10401)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)
% 0.12/0.89 % (10395)Refutation found. Thanks to Tanya!
% 0.12/0.89 % SZS status Theorem for theBenchmark
% 0.12/0.89 % SZS output start Proof for theBenchmark
% 0.12/0.89 thf(func_def_0, type, in: $i > $i > $o).
% 0.12/0.89 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.12/0.89 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.12/0.89 thf(func_def_8, type, powerset: $i > $i).
% 0.12/0.89 thf(func_def_10, type, setunion: $i > $i).
% 0.12/0.89 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.12/0.89 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_26, type, prop2set: $o > $i).
% 0.12/0.89 thf(func_def_36, type, nonempty: $i > $o).
% 0.12/0.89 thf(func_def_69, type, set2prop: $i > $o).
% 0.12/0.89 thf(func_def_88, type, subset: $i > $i > $o).
% 0.12/0.89 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.12/0.89 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.12/0.89 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.12/0.89 thf(func_def_122, type, binintersect: $i > $i > $i).
% 0.12/0.89 thf(func_def_135, type, regular: $i > $o).
% 0.12/0.89 thf(func_def_136, type, setminus: $i > $i > $i).
% 0.12/0.89 thf(func_def_156, type, sP1: $i > $i > $o).
% 0.12/0.89 thf(func_def_157, type, sP2: $i > $o).
% 0.12/0.89 thf(func_def_158, type, sP3: $i > $i > $o).
% 0.12/0.89 thf(func_def_159, type, sP4: $i > $i > $o).
% 0.12/0.89 thf(func_def_160, type, sK5: $i > $i).
% 0.12/0.89 thf(func_def_170, type, sK15: $i > $o).
% 0.12/0.89 thf(func_def_172, type, sK17: $i > $o).
% 0.12/0.89 thf(func_def_174, type, sK19: ($i > $o) > $i > $i).
% 0.12/0.89 thf(func_def_178, type, sK23: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.12/0.89 thf(func_def_179, type, sK24: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.12/0.89 thf(func_def_182, type, sK27: $i > $o).
% 0.12/0.89 thf(func_def_183, type, sK28: $i > $o).
% 0.12/0.89 thf(func_def_197, type, sK42: $i > $i > $i).
% 0.12/0.89 thf(func_def_200, type, sK45: $i > $i > $i).
% 0.12/0.89 thf(func_def_204, type, sK49: $i > $i > $i).
% 0.12/0.89 thf(func_def_209, type, sK54: $i > $i).
% 0.12/0.89 thf(func_def_211, type, sK56: $i > $i > $i).
% 0.12/0.89 thf(func_def_215, type, sK60: $i > $o).
% 0.12/0.89 thf(func_def_216, type, sK61: $i > $i).
% 0.12/0.89 thf(func_def_217, type, sK62: ($i > $o) > $i).
% 0.12/0.89 thf(func_def_218, type, sK63: $i > $i > $i).
% 0.12/0.89 thf(func_def_219, type, sK64: $i > $i > $i).
% 0.12/0.89 thf(func_def_222, type, sK67: $i > $i > $i).
% 0.12/0.89 thf(func_def_233, type, sK78: $i > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_234, type, sK79: $i > $o).
% 0.12/0.89 thf(func_def_241, type, sK86: $o > $i > $i > $i).
% 0.12/0.89 thf(func_def_249, type, sK94: $i > $o).
% 0.12/0.89 thf(func_def_255, type, sK100: $i > $o).
% 0.12/0.89 thf(func_def_257, type, sK102: $i > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_258, type, sK103: $i > $o).
% 0.12/0.89 thf(func_def_262, type, sK107: $i > $o).
% 0.12/0.89 thf(func_def_264, type, sK109: $i > $i > $o).
% 0.12/0.89 thf(func_def_266, type, sK111: $i > $i).
% 0.12/0.89 thf(func_def_267, type, sK112: $i > $i).
% 0.12/0.89 thf(func_def_268, type, sK113: $i > ($i > $i > $o) > $i).
% 0.12/0.89 thf(func_def_269, type, sK114: $i > $i > ($i > $i > $o) > $i).
% 0.12/0.89 thf(func_def_270, type, sK115: $i > ($i > $i > $o) > $i).
% 0.12/0.89 thf(func_def_279, type, sK124: $i > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_280, type, sK125: $i > $o).
% 0.12/0.89 thf(func_def_291, type, sK136: $i > $o).
% 0.12/0.89 thf(func_def_295, type, sK140: ($i > $o) > $i > $i).
% 0.12/0.89 thf(func_def_297, type, sK142: $i > $o).
% 0.12/0.89 thf(func_def_299, type, sK144: $i > $i).
% 0.12/0.89 thf(func_def_301, type, sK146: $i > $o).
% 0.12/0.89 thf(func_def_311, type, sK156: $i > $o).
% 0.12/0.89 thf(func_def_322, type, sK167: $i > $i > $i).
% 0.12/0.89 thf(func_def_323, type, sK168: $i > $i > $i).
% 0.12/0.89 thf(func_def_324, type, sK169: $i > $i > $i).
% 0.12/0.89 thf(func_def_325, type, sK170: $i > $i > $i).
% 0.12/0.89 thf(func_def_326, type, sK171: $i > $i > $i).
% 0.12/0.89 thf(func_def_327, type, sK172: $i > $i > $i > $i).
% 0.12/0.89 thf(func_def_328, type, sK173: $i > $i).
% 0.12/0.89 thf(func_def_329, type, sK174: $i > $i).
% 0.12/0.89 thf(func_def_330, type, sK175: $i > $i).
% 0.12/0.89 thf(func_def_331, type, sK176: $i > $i).
% 0.12/0.89 thf(func_def_332, type, sK177: $i > $i > $i > $i).
% 0.12/0.89 thf(func_def_333, type, sK178: $i > $i > $i > $i).
% 0.12/0.89 thf(func_def_334, type, sK179: $i > $i > $i).
% 0.12/0.89 thf(func_def_335, type, sK180: $i > $i > $i).
% 0.12/0.89 thf(func_def_336, type, sK181: $i > $i > $i).
% 0.12/0.89 thf(func_def_337, type, sK182: $i > $i).
% 0.12/0.89 thf(func_def_339, type, sK184: $i > $i).
% 0.12/0.89 thf(func_def_340, type, sK185: $i > $i).
% 0.12/0.89 thf(func_def_346, type, sK191: $i > $i).
% 0.12/0.89 thf(func_def_361, type, sK206: ($i > $o) > $i).
% 0.12/0.89 thf(func_def_362, type, sK207: $i > $o).
% 0.12/0.89 thf(func_def_367, type, sK212: ($i > $o) > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_368, type, sK213: ($i > $o) > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_369, type, sK214: $i > $o).
% 0.12/0.89 thf(func_def_370, type, sK215: $i > $o).
% 0.12/0.89 thf(func_def_372, type, sK217: $i > $o).
% 0.12/0.89 thf(func_def_374, type, sK219: $i > $o).
% 0.12/0.89 thf(func_def_376, type, sK221: ($i > $o) > $i).
% 0.12/0.89 thf(func_def_377, type, sK222: ($i > $o) > $i).
% 0.12/0.89 thf(func_def_378, type, sK223: $i > $i > $i).
% 0.12/0.89 thf(func_def_393, type, sK238: $i > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_394, type, sK239: $i > $o).
% 0.12/0.89 thf(func_def_400, type, sK245: $i > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_401, type, sK246: $i > $o).
% 0.12/0.89 thf(func_def_405, type, sK250: $i > $o).
% 0.12/0.89 thf(func_def_413, type, sK258: $i > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_414, type, sK259: $i > $o).
% 0.12/0.89 thf(func_def_425, type, sK270: $i > $i > $i).
% 0.12/0.89 thf(func_def_426, type, sK271: ($i > $o) > $i).
% 0.12/0.89 thf(func_def_427, type, sK272: $i > $o).
% 0.12/0.89 thf(func_def_428, type, sK273: $i > $i).
% 0.12/0.89 thf(func_def_432, type, sK277: ($i > $o) > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_433, type, sK278: ($i > $o) > ($i > $o) > $i).
% 0.12/0.89 thf(func_def_434, type, sK279: $i > $o).
% 0.12/0.89 thf(func_def_435, type, sK280: $i > $o).
% 0.12/0.89 thf(func_def_438, type, sK283: $i > $o).
% 0.12/0.89 thf(func_def_450, type, sK295: $i > $i).
% 0.12/0.89 thf(func_def_459, type, sK304: $i > $o).
% 0.12/0.89 thf(func_def_474, type, sK319: $i > $o).
% 0.12/0.89 thf(func_def_490, type, sK335: $i > $i).
% 0.12/0.89 thf(func_def_492, type, sK337: $i > $i).
% 0.12/0.89 thf(func_def_495, type, ph340: !>[X0: $tType]:(X0)).
% 0.12/0.89 thf(f1852,plain,(
% 0.12/0.89 $false),
% 0.12/0.89 inference(trivial_inequality_removal,[],[f1850])).
% 0.12/0.89 thf(f1850,plain,(
% 0.12/0.89 ($true != $true)),
% 0.12/0.89 inference(superposition,[],[f1276,f1834])).
% 0.12/0.89 thf(f1834,plain,(
% 0.12/0.89 ($true = (in @ sK37 @ sK38))),
% 0.12/0.89 inference(trivial_inequality_removal,[],[f1833])).
% 0.12/0.89 thf(f1833,plain,(
% 0.12/0.89 ($true = (in @ sK37 @ sK38)) | ($true != $true)),
% 0.12/0.89 inference(forward_demodulation,[],[f1832,f1208])).
% 0.12/0.89 thf(f1208,plain,(
% 0.12/0.89 (setminusEL = $true)),
% 0.12/0.89 inference(cnf_transformation,[],[f597])).
% 0.12/0.89 thf(f597,plain,(
% 0.12/0.89 (prop2set2propI = $true) & (dsetconstr__Cong = $true) & (binintersectEL = $true) & (($true = (in @ sK37 @ (setminus @ sK38 @ sK39))) & ($true != (in @ sK37 @ sK38))) & (notdallE = $true) & (notsubsetI = $true) & (upairsetIL = $true) & (nonemptyI = $true) & (setunion__Cong = $true) & (exuI3 = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (upairsetE = $true) & (subsetE = $true) & (exuI1 = $true) & (subsetI1 = $true) & (setextAx = $true) & (setunionAx = $true) & (emptyE1 = $true) & (exuI2 = $true) & (emptysetAx = $true) & (emptyI = $true) & (setunionE = $true) & (singletonsswitch = $true) & (setminusERneg = $true) & (subPowSU = $true) & (setadjoin__Cong = $true) & (exuE1 = $true) & (binintersectLsub = $true) & (setminusSubset2 = $true) & (binintersectRsub = $true) & (dsetconstrI = $true) & (binintersectSubset3 = $true) & (omegaSAx = $true) & (prop2setE = $true) & (binunionE = $true) & (powersetE1 = $true) & (notinemptyset = $true) & (descrp = $true) & (exuE2 = $true) & (binintersectSubset5 = $true) & (subsetRefl = $true) & (sepSubset = $true) & (setoftrueEq = $true) & (powersetsubset = $true) & (powerset__Cong = $true) & (dsetconstrER = $true) & (foundationAx = $true) & (emptysetE = $true) & (exuE3e = $true) & (omegaIndAx = $true) & (setbeta = $true) & (eqinunit = $true) & (setadjoinIL = $true) & (binintersectSubset2 = $true) & (setunionI = $true) & (notequalI2 = $true) & (setadjoinSub = $true) & (upairset2IR = $true) & (prop2setI = $true) & (replAx = $true) & (subset2powerset = $true) & (dsetconstrEL = $true) & (noeltsimpempty = $true) & (exu__Cong = $true) & (setext = $true) & (bs114d = $true) & (subsetI2 = $true) & (binunionLsub = $true) & (setadjoinSub2 = $true) & (upairsetIR = $true) & (setminusEL = $true) & (quantDeMorgan1 = $true) & (emptyset__Cong = $true) & (emptysetimpfalse = $true) & (setadjoinIR = $true) & (quantDeMorgan4 = $true) & (subsetE2 = $true) & (in__Cong = $true) & (emptyinunitempty = $true) & (nonemptyImpWitness = $true) & (notdexE = $true) & (sepInPowerset = $true) & (powersetI = $true) & (omega__Cong = $true) & (setminusI = $true) & (inPowerset = $true) & (wellorderingAx = $true) & (binunionIR = $true) & (exuE3u = $true) & (emptyinPowerset = $true) & (quantDeMorgan3 = $true) & (vacuousDall = $true) & (nonemptyI1 = $true) & (descr__Cong = $true) & (eqimpsubset1 = $true) & (inCongP = $true) & (setextsub = $true) & (emptysetsubset = $true) & (powersetAx = $true) & (subsetTrans = $true) & (notequalI1 = $true) & (binintersectSubset1 = $true) & (binunionIL = $true) & (setminusELneg = $true) & (binintersectER = $true) & (nonemptyE1 = $true) & (quantDeMorgan2 = $true) & (setadjoinOr = $true) & (setminusER = $true) & (exuEu = $true) & (emptyInPowerset = $true) & (binintersectI = $true) & (powersetI1 = $true) & (setadjoinE = $true) & (subsetemptysetimpeq = $true) & (omega0Ax = $true) & (setadjoinAx = $true) & (binunionEcases = $true) & (eqimpsubset2 = $true) & (powersetE = $true) & (disjointsetsI1 = $true) & (binunionRsub = $true) & (binintersectSubset4 = $true)),
% 0.12/0.89 inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38,sK39])],[f433,f596])).
% 0.12/0.89 thf(f596,plain,(
% 0.12/0.89 ? [X0,X1,X2] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) & ($true != (in @ X0 @ X1))) => (($true = (in @ sK37 @ (setminus @ sK38 @ sK39))) & ($true != (in @ sK37 @ sK38)))),
% 0.12/0.89 introduced(choice_axiom,[])).
% 0.12/0.89 thf(f433,plain,(
% 0.12/0.89 (prop2set2propI = $true) & (dsetconstr__Cong = $true) & (binintersectEL = $true) & ? [X0,X1,X2] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) & ($true != (in @ X0 @ X1))) & (notdallE = $true) & (notsubsetI = $true) & (upairsetIL = $true) & (nonemptyI = $true) & (setunion__Cong = $true) & (exuI3 = $true) & (notinsingleton = $true) & (uniqinunit = $true) & (upairsetE = $true) & (subsetE = $true) & (exuI1 = $true) & (subsetI1 = $true) & (setextAx = $true) & (setunionAx = $true) & (emptyE1 = $true) & (exuI2 = $true) & (emptysetAx = $true) & (emptyI = $true) & (setunionE = $true) & (singletonsswitch = $true) & (setminusERneg = $true) & (subPowSU = $true) & (setadjoin__Cong = $true) & (exuE1 = $true) & (binintersectLsub = $true) & (setminusSubset2 = $true) & (binintersectRsub = $true) & (dsetconstrI = $true) & (binintersectSubset3 = $true) & (omegaSAx = $true) & (prop2setE = $true) & (binunionE = $true) & (powersetE1 = $true) & (notinemptyset = $true) & (descrp = $true) & (exuE2 = $true) & (binintersectSubset5 = $true) & (subsetRefl = $true) & (sepSubset = $true) & (setoftrueEq = $true) & (powersetsubset = $true) & (powerset__Cong = $true) & (dsetconstrER = $true) & (foundationAx = $true) & (emptysetE = $true) & (exuE3e = $true) & (omegaIndAx = $true) & (setbeta = $true) & (eqinunit = $true) & (setadjoinIL = $true) & (binintersectSubset2 = $true) & (setunionI = $true) & (notequalI2 = $true) & (setadjoinSub = $true) & (upairset2IR = $true) & (prop2setI = $true) & (replAx = $true) & (subset2powerset = $true) & (dsetconstrEL = $true) & (noeltsimpempty = $true) & (exu__Cong = $true) & (setext = $true) & (bs114d = $true) & (subsetI2 = $true) & (binunionLsub = $true) & (setadjoinSub2 = $true) & (upairsetIR = $true) & (setminusEL = $true) & (quantDeMorgan1 = $true) & (emptyset__Cong = $true) & (emptysetimpfalse = $true) & (setadjoinIR = $true) & (quantDeMorgan4 = $true) & (subsetE2 = $true) & (in__Cong = $true) & (emptyinunitempty = $true) & (nonemptyImpWitness = $true) & (notdexE = $true) & (sepInPowerset = $true) & (powersetI = $true) & (omega__Cong = $true) & (setminusI = $true) & (inPowerset = $true) & (wellorderingAx = $true) & (binunionIR = $true) & (exuE3u = $true) & (emptyinPowerset = $true) & (quantDeMorgan3 = $true) & (vacuousDall = $true) & (nonemptyI1 = $true) & (descr__Cong = $true) & (eqimpsubset1 = $true) & (inCongP = $true) & (setextsub = $true) & (emptysetsubset = $true) & (powersetAx = $true) & (subsetTrans = $true) & (notequalI1 = $true) & (binintersectSubset1 = $true) & (binunionIL = $true) & (setminusELneg = $true) & (binintersectER = $true) & (nonemptyE1 = $true) & (quantDeMorgan2 = $true) & (setadjoinOr = $true) & (setminusER = $true) & (exuEu = $true) & (emptyInPowerset = $true) & (binintersectI = $true) & (powersetI1 = $true) & (setadjoinE = $true) & (subsetemptysetimpeq = $true) & (omega0Ax = $true) & (setadjoinAx = $true) & (binunionEcases = $true) & (eqimpsubset2 = $true) & (powersetE = $true) & (disjointsetsI1 = $true) & (binunionRsub = $true) & (binintersectSubset4 = $true)),
% 0.12/0.89 inference(flattening,[],[f432])).
% 0.12/0.89 thf(f432,plain,(
% 0.12/0.89 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (($true = (in @ X0 @ (setminus @ X1 @ X2))) & ($true != (in @ X0 @ X1))) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $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)),
% 0.12/0.89 inference(ennf_transformation,[],[f392])).
% 0.12/0.89 thf(f392,plain,(
% 0.12/0.89 ~((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) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ! [X0,X1,X2] : (($true != (in @ X0 @ X1)) => ($true != (in @ X0 @ (setminus @ X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.12/0.89 inference(flattening,[],[f239])).
% 0.12/0.89 thf(f239,plain,(
% 0.12/0.89 ~((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) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ! [X0,X1,X2] : (~($true = (in @ X0 @ X1)) => ~($true = (in @ X0 @ (setminus @ X1 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.12/0.89 inference(fool_elimination,[],[f238])).
% 0.12/0.89 thf(f238,plain,(
% 0.12/0.89 ~(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 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => ! [X0,X1,X2] : (~(in @ X0 @ X1) => ~(in @ X0 @ (setminus @ X1 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.12/0.89 inference(rectify,[],[f127])).
% 0.12/0.89 thf(f127,negated_conjecture,(
% 0.12/0.89 ~(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 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => ! [X1,X3,X4] : (~(in @ X1 @ X3) => ~(in @ X1 @ (setminus @ X3 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.12/0.89 inference(negated_conjecture,[],[f126])).
% 0.12/0.89 thf(f126,conjecture,(
% 0.12/0.89 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 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => ! [X1,X3,X4] : (~(in @ X1 @ X3) => ~(in @ X1 @ (setminus @ X3 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.12/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusILneg)).
% 0.12/0.89 thf(f1832,plain,(
% 0.12/0.89 (setminusEL != $true) | ($true = (in @ sK37 @ sK38))),
% 0.12/0.89 inference(trivial_inequality_removal,[],[f1828])).
% 0.12/0.89 thf(f1828,plain,(
% 0.12/0.89 ($true != $true) | ($true = (in @ sK37 @ sK38)) | (setminusEL != $true)),
% 0.12/0.89 inference(superposition,[],[f1662,f1277])).
% 0.12/0.89 thf(f1277,plain,(
% 0.12/0.89 ($true = (in @ sK37 @ (setminus @ sK38 @ sK39)))),
% 0.12/0.89 inference(cnf_transformation,[],[f597])).
% 0.12/0.89 thf(f1662,plain,(
% 0.12/0.89 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ (setminus @ X4 @ X3))) | (setminusEL != $true) | ((in @ X5 @ X4) = $true)) )),
% 0.12/0.89 inference(cnf_transformation,[],[f1052])).
% 0.12/0.89 thf(f1052,plain,(
% 0.12/0.89 ((setminusEL = $true) | (($true != (in @ sK299 @ sK298)) & ($true = (in @ sK299 @ (setminus @ sK298 @ sK297))))) & (! [X3,X4,X5] : (((in @ X5 @ X4) = $true) | ($true != (in @ X5 @ (setminus @ X4 @ X3)))) | (setminusEL != $true))),
% 0.12/0.89 inference(skolemisation,[status(esa),new_symbols(skolem,[sK297,sK298,sK299])],[f1050,f1051])).
% 0.12/0.89 thf(f1051,plain,(
% 0.12/0.89 ? [X0,X1,X2] : (($true != (in @ X2 @ X1)) & ($true = (in @ X2 @ (setminus @ X1 @ X0)))) => (($true != (in @ sK299 @ sK298)) & ($true = (in @ sK299 @ (setminus @ sK298 @ sK297))))),
% 0.12/0.89 introduced(choice_axiom,[])).
% 0.12/0.89 thf(f1050,plain,(
% 0.12/0.89 ((setminusEL = $true) | ? [X0,X1,X2] : (($true != (in @ X2 @ X1)) & ($true = (in @ X2 @ (setminus @ X1 @ X0))))) & (! [X3,X4,X5] : (((in @ X5 @ X4) = $true) | ($true != (in @ X5 @ (setminus @ X4 @ X3)))) | (setminusEL != $true))),
% 0.12/0.89 inference(rectify,[],[f1049])).
% 0.12/0.89 thf(f1049,plain,(
% 0.12/0.89 ((setminusEL = $true) | ? [X0,X1,X2] : (($true != (in @ X2 @ X1)) & ($true = (in @ X2 @ (setminus @ X1 @ X0))))) & (! [X0,X1,X2] : (($true = (in @ X2 @ X1)) | ($true != (in @ X2 @ (setminus @ X1 @ X0)))) | (setminusEL != $true))),
% 0.12/0.89 inference(nnf_transformation,[],[f494])).
% 0.12/0.89 thf(f494,plain,(
% 0.12/0.89 (setminusEL = $true) <=> ! [X0,X1,X2] : (($true = (in @ X2 @ X1)) | ($true != (in @ X2 @ (setminus @ X1 @ X0))))),
% 0.12/0.89 inference(ennf_transformation,[],[f330])).
% 0.12/0.89 thf(f330,plain,(
% 0.12/0.89 ! [X0,X1,X2] : (($true = (in @ X2 @ (setminus @ X1 @ X0))) => ($true = (in @ X2 @ X1))) <=> (setminusEL = $true)),
% 0.12/0.89 inference(fool_elimination,[],[f329])).
% 0.12/0.89 thf(f329,plain,(
% 0.12/0.89 (! [X0,X1,X2] : ((in @ X2 @ (setminus @ X1 @ X0)) => (in @ X2 @ X1)) = setminusEL)),
% 0.12/0.89 inference(rectify,[],[f121])).
% 0.12/0.89 thf(f121,axiom,(
% 0.12/0.89 (! [X4,X3,X1] : ((in @ X1 @ (setminus @ X3 @ X4)) => (in @ X1 @ X3)) = setminusEL)),
% 0.12/0.89 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusEL)).
% 0.12/0.89 thf(f1276,plain,(
% 0.12/0.89 ($true != (in @ sK37 @ sK38))),
% 0.12/0.89 inference(cnf_transformation,[],[f597])).
% 0.12/0.89 % SZS output end Proof for theBenchmark
% 0.12/0.89 % (10395)------------------------------
% 0.12/0.89 % (10395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.89 % (10395)Termination reason: Refutation
% 0.12/0.89
% 0.12/0.89 % (10395)Memory used [KB]: 7419
% 0.12/0.89 % (10395)Time elapsed: 0.038 s
% 0.12/0.89 % (10395)Instructions burned: 114 (million)
% 0.12/0.89 % (10395)------------------------------
% 0.12/0.89 % (10395)------------------------------
% 0.12/0.89 % (10349)Success in time 0.13 s
% 0.12/0.89 % Vampire---4.8 exiting
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