TSTP Solution File: SEU797^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU797^1 : 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 : n011.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 03:51:37 EDT 2024
% Result : Theorem 2.42s 0.64s
% Output : Refutation 2.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU797^1 : TPTP v8.2.0. Released v3.7.0.
% 0.00/0.09 % 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
% 0.09/0.29 % Computer : n011.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun May 19 16:12:38 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 This is a TH0_THM_EQU_NAR problem
% 0.09/0.29 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
% 0.14/0.32 % (5769)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.33 % (5771)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)
% 0.14/0.33 % (5775)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.33 % (5774)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)
% 0.14/0.33 % (5772)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.33 % (5772)Instruction limit reached!
% 0.14/0.33 % (5772)------------------------------
% 0.14/0.33 % (5772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33 % (5772)Termination reason: Unknown
% 0.14/0.33 % (5772)Termination phase: shuffling
% 0.14/0.33
% 0.14/0.33 % (5772)Memory used [KB]: 1535
% 0.14/0.33 % (5772)Time elapsed: 0.003 s
% 0.14/0.33 % (5772)Instructions burned: 2 (million)
% 0.14/0.33 % (5772)------------------------------
% 0.14/0.33 % (5772)------------------------------
% 0.14/0.33 % (5776)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)
% 0.14/0.33 % (5776)Instruction limit reached!
% 0.14/0.33 % (5776)------------------------------
% 0.14/0.33 % (5776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.33 % (5776)Termination reason: Unknown
% 0.14/0.33 % (5776)Termination phase: shuffling
% 0.14/0.33
% 0.14/0.33 % (5776)Memory used [KB]: 1663
% 0.14/0.33 % (5776)Time elapsed: 0.003 s
% 0.14/0.33 % (5776)Instructions burned: 4 (million)
% 0.14/0.33 % (5776)------------------------------
% 0.14/0.33 % (5776)------------------------------
% 0.14/0.33 % (5770)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)
% 0.14/0.34 % (5773)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)
% 0.14/0.34 % (5770)Instruction limit reached!
% 0.14/0.34 % (5770)------------------------------
% 0.14/0.34 % (5770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (5770)Termination reason: Unknown
% 0.14/0.34 % (5770)Termination phase: shuffling
% 0.14/0.34
% 0.14/0.34 % (5770)Memory used [KB]: 1663
% 0.14/0.34 % (5771)Instruction limit reached!
% 0.14/0.34 % (5771)------------------------------
% 0.14/0.34 % (5771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (5771)Termination reason: Unknown
% 0.14/0.34 % (5771)Termination phase: shuffling
% 0.14/0.34
% 0.14/0.34 % (5771)Memory used [KB]: 2046
% 0.14/0.34 % (5771)Time elapsed: 0.009 s
% 0.14/0.34 % (5771)Instructions burned: 27 (million)
% 0.14/0.34 % (5771)------------------------------
% 0.14/0.34 % (5771)------------------------------
% 0.14/0.34 % (5770)Time elapsed: 0.005 s
% 0.14/0.34 % (5770)Instructions burned: 6 (million)
% 0.14/0.34 % (5770)------------------------------
% 0.14/0.34 % (5770)------------------------------
% 0.14/0.34 % (5773)Instruction limit reached!
% 0.14/0.34 % (5773)------------------------------
% 0.14/0.34 % (5773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (5773)Termination reason: Unknown
% 0.14/0.34 % (5773)Termination phase: shuffling
% 0.14/0.34
% 0.14/0.34 % (5773)Memory used [KB]: 1663
% 0.14/0.34 % (5773)Time elapsed: 0.002 s
% 0.14/0.34 % (5773)Instructions burned: 4 (million)
% 0.14/0.34 % (5773)------------------------------
% 0.14/0.34 % (5773)------------------------------
% 0.14/0.34 % (5775)Instruction limit reached!
% 0.14/0.34 % (5775)------------------------------
% 0.14/0.34 % (5775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.34 % (5775)Termination reason: Unknown
% 0.14/0.34 % (5775)Termination phase: shuffling
% 0.14/0.34
% 0.14/0.34 % (5775)Memory used [KB]: 1918
% 0.14/0.34 % (5775)Time elapsed: 0.011 s
% 0.14/0.34 % (5775)Instructions burned: 18 (million)
% 0.14/0.34 % (5775)------------------------------
% 0.14/0.34 % (5775)------------------------------
% 0.14/0.34 % (5777)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)
% 0.14/0.34 % (5778)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)
% 0.14/0.35 % (5779)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)
% 0.14/0.35 % (5779)Instruction limit reached!
% 0.14/0.35 % (5779)------------------------------
% 0.14/0.35 % (5779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (5779)Termination reason: Unknown
% 0.14/0.35 % (5779)Termination phase: shuffling
% 0.14/0.35
% 0.14/0.35 % (5779)Memory used [KB]: 1663
% 0.14/0.35 % (5779)Time elapsed: 0.003 s
% 0.14/0.35 % (5779)Instructions burned: 4 (million)
% 0.14/0.35 % (5779)------------------------------
% 0.14/0.35 % (5779)------------------------------
% 0.14/0.35 % (5782)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.35 % (5778)Instruction limit reached!
% 0.14/0.35 % (5778)------------------------------
% 0.14/0.35 % (5778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (5778)Termination reason: Unknown
% 0.14/0.35 % (5778)Termination phase: shuffling
% 0.14/0.35
% 0.14/0.35 % (5778)Memory used [KB]: 1918
% 0.14/0.35 % (5778)Time elapsed: 0.008 s
% 0.14/0.35 % (5778)Instructions burned: 16 (million)
% 0.14/0.35 % (5778)------------------------------
% 0.14/0.35 % (5778)------------------------------
% 0.14/0.35 % (5780)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)
% 0.14/0.35 % (5782)Instruction limit reached!
% 0.14/0.35 % (5782)------------------------------
% 0.14/0.35 % (5782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.35 % (5782)Termination reason: Unknown
% 0.14/0.35 % (5782)Termination phase: shuffling
% 0.14/0.35
% 0.14/0.35 % (5782)Memory used [KB]: 1918
% 0.14/0.35 % (5782)Time elapsed: 0.006 s
% 0.14/0.35 % (5782)Instructions burned: 17 (million)
% 0.14/0.35 % (5782)------------------------------
% 0.14/0.35 % (5782)------------------------------
% 0.14/0.35 % (5781)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.36 % (5781)Instruction limit reached!
% 0.14/0.36 % (5781)------------------------------
% 0.14/0.36 % (5781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (5781)Termination reason: Unknown
% 0.14/0.36 % (5781)Termination phase: shuffling
% 0.14/0.36
% 0.14/0.36 % (5781)Memory used [KB]: 1663
% 0.14/0.36 % (5781)Time elapsed: 0.005 s
% 0.14/0.36 % (5781)Instructions burned: 7 (million)
% 0.14/0.36 % (5781)------------------------------
% 0.14/0.36 % (5781)------------------------------
% 0.14/0.36 % (5777)Instruction limit reached!
% 0.14/0.36 % (5777)------------------------------
% 0.14/0.36 % (5777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (5777)Termination reason: Unknown
% 0.14/0.36 % (5777)Termination phase: shuffling
% 0.14/0.36
% 0.14/0.36 % (5777)Memory used [KB]: 2302
% 0.14/0.36 % (5777)Time elapsed: 0.018 s
% 0.14/0.36 % (5777)Instructions burned: 38 (million)
% 0.14/0.36 % (5777)------------------------------
% 0.14/0.36 % (5777)------------------------------
% 0.14/0.36 % (5784)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)
% 0.14/0.36 % (5784)Instruction limit reached!
% 0.14/0.36 % (5784)------------------------------
% 0.14/0.36 % (5784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36 % (5784)Termination reason: Unknown
% 0.14/0.36 % (5784)Termination phase: shuffling
% 0.14/0.36
% 0.14/0.36 % (5784)Memory used [KB]: 1663
% 0.14/0.36 % (5784)Time elapsed: 0.003 s
% 0.14/0.36 % (5784)Instructions burned: 4 (million)
% 0.14/0.36 % (5784)------------------------------
% 0.14/0.36 % (5784)------------------------------
% 0.14/0.37 % (5785)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)
% 0.14/0.37 % (5785)Instruction limit reached!
% 0.14/0.37 % (5785)------------------------------
% 0.14/0.37 % (5785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (5785)Termination reason: Unknown
% 0.14/0.37 % (5785)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (5785)Memory used [KB]: 1663
% 0.14/0.37 % (5785)Time elapsed: 0.005 s
% 0.14/0.37 % (5785)Instructions burned: 7 (million)
% 0.14/0.37 % (5785)------------------------------
% 0.14/0.37 % (5785)------------------------------
% 0.14/0.37 % (5783)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)
% 0.14/0.37 % (5783)Instruction limit reached!
% 0.14/0.37 % (5783)------------------------------
% 0.14/0.37 % (5783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (5783)Termination reason: Unknown
% 0.14/0.37 % (5783)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (5783)Memory used [KB]: 1663
% 0.14/0.37 % (5783)Time elapsed: 0.003 s
% 0.14/0.37 % (5783)Instructions burned: 4 (million)
% 0.14/0.37 % (5783)------------------------------
% 0.14/0.37 % (5783)------------------------------
% 0.14/0.37 % (5786)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)
% 0.14/0.37 % (5788)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)
% 0.14/0.37 % (5786)Instruction limit reached!
% 0.14/0.37 % (5786)------------------------------
% 0.14/0.37 % (5786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (5786)Termination reason: Unknown
% 0.14/0.37 % (5786)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (5786)Memory used [KB]: 1663
% 0.14/0.37 % (5786)Time elapsed: 0.003 s
% 0.14/0.37 % (5786)Instructions burned: 4 (million)
% 0.14/0.37 % (5786)------------------------------
% 0.14/0.37 % (5786)------------------------------
% 0.14/0.38 % (5787)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.38 % (5787)Instruction limit reached!
% 0.14/0.38 % (5787)------------------------------
% 0.14/0.38 % (5787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5787)Termination reason: Unknown
% 0.14/0.38 % (5787)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (5787)Memory used [KB]: 1663
% 0.14/0.38 % (5787)Time elapsed: 0.003 s
% 0.14/0.38 % (5787)Instructions burned: 7 (million)
% 0.14/0.38 % (5787)------------------------------
% 0.14/0.38 % (5787)------------------------------
% 0.14/0.38 % (5790)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.38 % (5788)Instruction limit reached!
% 0.14/0.38 % (5788)------------------------------
% 0.14/0.38 % (5788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5788)Termination reason: Unknown
% 0.14/0.38 % (5788)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (5788)Memory used [KB]: 2046
% 0.14/0.38 % (5788)Time elapsed: 0.010 s
% 0.14/0.38 % (5788)Instructions burned: 19 (million)
% 0.14/0.38 % (5788)------------------------------
% 0.14/0.38 % (5788)------------------------------
% 0.14/0.38 % (5790)Instruction limit reached!
% 0.14/0.38 % (5790)------------------------------
% 0.14/0.38 % (5790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (5790)Termination reason: Unknown
% 0.14/0.38 % (5790)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (5790)Memory used [KB]: 1663
% 0.14/0.38 % (5790)Time elapsed: 0.004 s
% 0.14/0.38 % (5790)Instructions burned: 9 (million)
% 0.14/0.38 % (5790)------------------------------
% 0.14/0.38 % (5790)------------------------------
% 0.14/0.39 % (5789)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.14/0.39 % (5792)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)
% 0.14/0.39 % (5793)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.14/0.39 % (5769)Instruction limit reached!
% 0.14/0.39 % (5769)------------------------------
% 0.14/0.39 % (5769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (5769)Termination reason: Unknown
% 0.14/0.39 % (5769)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (5769)Memory used [KB]: 3070
% 0.14/0.39 % (5769)Time elapsed: 0.070 s
% 0.14/0.39 % (5769)Instructions burned: 183 (million)
% 0.14/0.39 % (5769)------------------------------
% 0.14/0.39 % (5769)------------------------------
% 0.14/0.40 % (5793)Instruction limit reached!
% 0.14/0.40 % (5793)------------------------------
% 0.14/0.40 % (5793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (5793)Termination reason: Unknown
% 0.14/0.40 % (5793)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (5793)Memory used [KB]: 1663
% 0.14/0.40 % (5793)Time elapsed: 0.004 s
% 0.14/0.40 % (5793)Instructions burned: 5 (million)
% 0.14/0.40 % (5793)------------------------------
% 0.14/0.40 % (5793)------------------------------
% 0.14/0.40 % (5791)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)
% 0.14/0.40 % (5792)Instruction limit reached!
% 0.14/0.40 % (5792)------------------------------
% 0.14/0.40 % (5792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (5792)Termination reason: Unknown
% 0.14/0.40 % (5792)Termination phase: shuffling
% 0.14/0.40
% 0.14/0.40 % (5792)Memory used [KB]: 1918
% 0.14/0.40 % (5792)Time elapsed: 0.011 s
% 0.14/0.40 % (5792)Instructions burned: 22 (million)
% 0.14/0.40 % (5792)------------------------------
% 0.14/0.40 % (5792)------------------------------
% 0.14/0.40 % (5795)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.14/0.41 % (5794)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)
% 0.14/0.41 % (5797)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)
% 0.14/0.42 % (5794)Instruction limit reached!
% 0.14/0.42 % (5794)------------------------------
% 0.14/0.42 % (5794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (5794)Termination reason: Unknown
% 0.14/0.42 % (5794)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (5794)Memory used [KB]: 1663
% 0.14/0.42 % (5794)Time elapsed: 0.005 s
% 0.14/0.42 % (5794)Instructions burned: 7 (million)
% 0.14/0.42 % (5794)------------------------------
% 0.14/0.42 % (5794)------------------------------
% 0.14/0.42 % (5797)Instruction limit reached!
% 0.14/0.42 % (5797)------------------------------
% 0.14/0.42 % (5797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (5797)Termination reason: Unknown
% 0.14/0.42 % (5797)Termination phase: shuffling
% 0.14/0.42
% 0.14/0.42 % (5797)Memory used [KB]: 1918
% 0.14/0.42 % (5797)Time elapsed: 0.011 s
% 0.14/0.42 % (5797)Instructions burned: 19 (million)
% 0.14/0.42 % (5797)------------------------------
% 0.14/0.42 % (5797)------------------------------
% 0.14/0.43 % (5796)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)
% 0.14/0.44 % (5799)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.14/0.44 % (5798)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.14/0.45 % (5799)Instruction limit reached!
% 0.14/0.45 % (5799)------------------------------
% 0.14/0.45 % (5799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.45 % (5799)Termination reason: Unknown
% 0.14/0.45 % (5799)Termination phase: shuffling
% 0.14/0.45
% 0.14/0.45 % (5799)Memory used [KB]: 1918
% 0.14/0.45 % (5799)Time elapsed: 0.010 s
% 0.14/0.45 % (5799)Instructions burned: 18 (million)
% 0.14/0.45 % (5799)------------------------------
% 0.14/0.45 % (5799)------------------------------
% 0.14/0.45 % (5774)Instruction limit reached!
% 0.14/0.45 % (5774)------------------------------
% 0.14/0.45 % (5774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.45 % (5774)Termination reason: Unknown
% 0.14/0.45 % (5774)Termination phase: Saturation
% 0.14/0.45
% 0.14/0.45 % (5774)Memory used [KB]: 10618
% 0.14/0.45 % (5774)Time elapsed: 0.127 s
% 0.14/0.45 % (5774)Instructions burned: 275 (million)
% 0.14/0.45 % (5774)------------------------------
% 0.14/0.45 % (5774)------------------------------
% 0.14/0.46 % (5800)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.14/0.46 % (5800)Instruction limit reached!
% 0.14/0.46 % (5800)------------------------------
% 0.14/0.46 % (5800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.46 % (5800)Termination reason: Unknown
% 0.14/0.46 % (5800)Termination phase: shuffling
% 0.14/0.46
% 0.14/0.46 % (5800)Memory used [KB]: 1663
% 0.14/0.46 % (5800)Time elapsed: 0.003 s
% 0.14/0.46 % (5800)Instructions burned: 3 (million)
% 0.14/0.46 % (5800)------------------------------
% 0.14/0.46 % (5800)------------------------------
% 0.14/0.47 % (5801)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.14/0.48 % (5802)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.14/0.48 % (5801)Instruction limit reached!
% 0.14/0.48 % (5801)------------------------------
% 0.14/0.48 % (5801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.48 % (5801)Termination reason: Unknown
% 0.14/0.48 % (5801)Termination phase: shuffling
% 0.14/0.48
% 0.14/0.48 % (5801)Memory used [KB]: 2174
% 0.14/0.48 % (5801)Time elapsed: 0.016 s
% 0.14/0.48 % (5801)Instructions burned: 31 (million)
% 0.14/0.48 % (5801)------------------------------
% 0.14/0.48 % (5801)------------------------------
% 0.14/0.50 % (5803)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.14/0.53 % (5802)Instruction limit reached!
% 0.14/0.53 % (5802)------------------------------
% 0.14/0.53 % (5802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.53 % (5802)Termination reason: Unknown
% 0.14/0.53 % (5802)Termination phase: Property scanning
% 0.14/0.53
% 0.14/0.53 % (5802)Memory used [KB]: 2942
% 0.14/0.53 % (5802)Time elapsed: 0.057 s
% 0.14/0.53 % (5802)Instructions burned: 128 (million)
% 0.14/0.53 % (5802)------------------------------
% 0.14/0.53 % (5802)------------------------------
% 0.14/0.54 % (5803)Instruction limit reached!
% 0.14/0.54 % (5803)------------------------------
% 0.14/0.54 % (5803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.54 % (5803)Termination reason: Unknown
% 0.14/0.54 % (5803)Termination phase: Property scanning
% 0.14/0.54
% 0.14/0.54 % (5803)Memory used [KB]: 2942
% 0.14/0.54 % (5803)Time elapsed: 0.046 s
% 0.14/0.54 % (5803)Instructions burned: 100 (million)
% 0.14/0.54 % (5803)------------------------------
% 0.14/0.54 % (5803)------------------------------
% 0.14/0.55 % (5804)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)
% 0.14/0.55 % (5804)Instruction limit reached!
% 0.14/0.55 % (5804)------------------------------
% 0.14/0.55 % (5804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.55 % (5804)Termination reason: Unknown
% 0.14/0.55 % (5804)Termination phase: shuffling
% 0.14/0.55
% 0.14/0.55 % (5804)Memory used [KB]: 1663
% 0.14/0.55 % (5804)Time elapsed: 0.003 s
% 0.14/0.55 % (5804)Instructions burned: 3 (million)
% 0.14/0.55 % (5804)------------------------------
% 0.14/0.55 % (5804)------------------------------
% 0.14/0.56 % (5805)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)
% 0.14/0.56 % (5806)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)
% 0.14/0.57 % (5795)Instruction limit reached!
% 0.14/0.57 % (5795)------------------------------
% 0.14/0.57 % (5795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.57 % (5805)Instruction limit reached!
% 0.14/0.57 % (5805)------------------------------
% 0.14/0.57 % (5805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.57 % (5805)Termination reason: Unknown
% 0.14/0.57 % (5805)Termination phase: shuffling
% 0.14/0.57
% 0.14/0.57 % (5805)Memory used [KB]: 2046
% 0.14/0.57 % (5805)Time elapsed: 0.013 s
% 0.14/0.57 % (5805)Instructions burned: 21 (million)
% 0.14/0.57 % (5805)------------------------------
% 0.14/0.57 % (5805)------------------------------
% 0.14/0.57 % (5795)Termination reason: Unknown
% 0.14/0.57 % (5795)Termination phase: Saturation
% 0.14/0.57
% 0.14/0.57 % (5795)Memory used [KB]: 9594
% 0.14/0.57 % (5795)Time elapsed: 0.165 s
% 0.14/0.57 % (5795)Instructions burned: 378 (million)
% 0.14/0.57 % (5795)------------------------------
% 0.14/0.57 % (5795)------------------------------
% 0.14/0.58 % (5808)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)
% 0.14/0.58 % (5807)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)
% 0.14/0.60 % (5808)Instruction limit reached!
% 0.14/0.60 % (5808)------------------------------
% 0.14/0.60 % (5808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.60 % (5808)Termination reason: Unknown
% 0.14/0.60 % (5808)Termination phase: shuffling
% 0.14/0.60
% 0.14/0.60 % (5808)Memory used [KB]: 2302
% 0.14/0.60 % (5808)Time elapsed: 0.017 s
% 0.14/0.60 % (5808)Instructions burned: 40 (million)
% 0.14/0.60 % (5808)------------------------------
% 0.14/0.60 % (5808)------------------------------
% 2.16/0.60 % (5806)Instruction limit reached!
% 2.16/0.60 % (5806)------------------------------
% 2.16/0.60 % (5806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.60 % (5806)Termination reason: Unknown
% 2.16/0.60 % (5806)Termination phase: Property scanning
% 2.16/0.60
% 2.16/0.60 % (5806)Memory used [KB]: 2686
% 2.16/0.60 % (5806)Time elapsed: 0.040 s
% 2.16/0.60 % (5806)Instructions burned: 87 (million)
% 2.16/0.60 % (5806)------------------------------
% 2.16/0.60 % (5806)------------------------------
% 2.29/0.61 % (5809)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)
% 2.29/0.61 % (5810)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)
% 2.29/0.63 % (5807)Instruction limit reached!
% 2.29/0.63 % (5807)------------------------------
% 2.29/0.63 % (5807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.63 % (5807)Termination reason: Unknown
% 2.29/0.63 % (5807)Termination phase: SInE selection
% 2.29/0.63
% 2.29/0.63 % (5807)Memory used [KB]: 2814
% 2.29/0.63 % (5807)Time elapsed: 0.049 s
% 2.29/0.63 % (5807)Instructions burned: 109 (million)
% 2.29/0.63 % (5807)------------------------------
% 2.29/0.63 % (5807)------------------------------
% 2.29/0.63 % (5791)First to succeed.
% 2.42/0.63 % (5810)Instruction limit reached!
% 2.42/0.63 % (5810)------------------------------
% 2.42/0.63 % (5810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.42/0.63 % (5810)Termination reason: Unknown
% 2.42/0.63 % (5810)Termination phase: shuffling
% 2.42/0.63
% 2.42/0.63 % (5810)Memory used [KB]: 2430
% 2.42/0.63 % (5810)Time elapsed: 0.022 s
% 2.42/0.63 % (5810)Instructions burned: 46 (million)
% 2.42/0.63 % (5810)------------------------------
% 2.42/0.63 % (5810)------------------------------
% 2.42/0.64 % (5791)Refutation found. Thanks to Tanya!
% 2.42/0.64 % SZS status Theorem for theBenchmark
% 2.42/0.64 % SZS output start Proof for theBenchmark
% 2.42/0.64 thf(func_def_0, type, in: $i > $i > $o).
% 2.42/0.64 thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.42/0.64 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.42/0.64 thf(func_def_8, type, powerset: $i > $i).
% 2.42/0.64 thf(func_def_10, type, setunion: $i > $i).
% 2.42/0.64 thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.42/0.64 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_26, type, prop2set: $o > $i).
% 2.42/0.64 thf(func_def_36, type, nonempty: $i > $o).
% 2.42/0.64 thf(func_def_69, type, set2prop: $i > $o).
% 2.42/0.64 thf(func_def_88, type, subset: $i > $i > $o).
% 2.42/0.64 thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.42/0.64 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.42/0.64 thf(func_def_114, type, binunion: $i > $i > $i).
% 2.42/0.64 thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.42/0.64 thf(func_def_135, type, regular: $i > $o).
% 2.42/0.64 thf(func_def_136, type, setminus: $i > $i > $i).
% 2.42/0.64 thf(func_def_147, type, symdiff: $i > $i > $i).
% 2.42/0.64 thf(func_def_153, type, iskpair: $i > $o).
% 2.42/0.64 thf(func_def_158, type, kpair: $i > $i > $i).
% 2.42/0.64 thf(func_def_160, type, cartprod: $i > $i > $i).
% 2.42/0.64 thf(func_def_177, type, singleton: $i > $o).
% 2.42/0.64 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 2.42/0.64 thf(func_def_184, type, atmost1p: $i > $o).
% 2.42/0.64 thf(func_def_185, type, atleast2p: $i > $o).
% 2.42/0.64 thf(func_def_186, type, atmost2p: $i > $o).
% 2.42/0.64 thf(func_def_187, type, upairsetp: $i > $o).
% 2.42/0.64 thf(func_def_191, type, kfst: $i > $i).
% 2.42/0.64 thf(func_def_203, type, ksnd: $i > $i).
% 2.42/0.64 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 2.42/0.64 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.42/0.64 thf(func_def_222, type, func: $i > $i > $i > $o).
% 2.42/0.64 thf(func_def_223, type, funcSet: $i > $i > $i).
% 2.42/0.64 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 2.42/0.64 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 2.42/0.64 thf(func_def_323, type, breln1: $i > $i > $o).
% 2.42/0.64 thf(func_def_325, type, breln1Set: $i > $i).
% 2.42/0.64 thf(func_def_327, type, transitive: $i > $i > $o).
% 2.42/0.64 thf(func_def_328, type, antisymmetric: $i > $i > $o).
% 2.42/0.64 thf(func_def_329, type, reflexive: $i > $i > $o).
% 2.42/0.64 thf(func_def_330, type, refltransitive: $i > $i > $o).
% 2.42/0.64 thf(func_def_331, type, refllinearorder: $i > $i > $o).
% 2.42/0.64 thf(func_def_332, type, reflwellordering: $i > $i > $o).
% 2.42/0.64 thf(func_def_338, type, breln1invset: $i > $i > $i).
% 2.42/0.64 thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_360, type, image1: $i > ($i > $i) > $i).
% 2.42/0.64 thf(func_def_380, type, sP3: $i > $i > $i > $o).
% 2.42/0.64 thf(func_def_384, type, sP7: $i > $i > $i > $o).
% 2.42/0.64 thf(func_def_385, type, sP8: $i > $i > $o).
% 2.42/0.64 thf(func_def_386, type, sP9: $i > $o).
% 2.42/0.64 thf(func_def_387, type, sP10: $i > $i > $o).
% 2.42/0.64 thf(func_def_388, type, sP11: $i > $i > $o).
% 2.42/0.64 thf(func_def_390, type, sP13: $o > $i > $i > $i > $o).
% 2.42/0.64 thf(func_def_392, type, sP15: $i > $i > $i > $i > $o).
% 2.42/0.64 thf(func_def_401, type, sK24: $i > $o).
% 2.42/0.64 thf(func_def_403, type, sK26: ($i > $o) > $i > $i).
% 2.42/0.64 thf(func_def_408, type, sK31: ($i > $o) > $i > $i > $i).
% 2.42/0.64 thf(func_def_409, type, sK32: ($i > $o) > $i > $i > $i).
% 2.42/0.64 thf(func_def_412, type, sK35: $i > $o).
% 2.42/0.64 thf(func_def_417, type, sK40: $i > $i > $o).
% 2.42/0.64 thf(func_def_421, type, sK44: $i > $i).
% 2.42/0.64 thf(func_def_422, type, sK45: $i > $i).
% 2.42/0.64 thf(func_def_446, type, sK69: $i > $o).
% 2.42/0.64 thf(func_def_448, type, sK71: $i > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_449, type, sK72: ($i > $o) > $i > $i > $i).
% 2.42/0.64 thf(func_def_452, type, sK75: $i > $o).
% 2.42/0.64 thf(func_def_454, type, sK77: $i > $i).
% 2.42/0.64 thf(func_def_461, type, sK84: $o > $i > $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_469, type, sK92: $i > $o).
% 2.42/0.64 thf(func_def_482, type, sK105: $i > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_483, type, sK106: $i > $o).
% 2.42/0.64 thf(func_def_489, type, sK112: $i > $i > $i).
% 2.42/0.64 thf(func_def_490, type, sK113: $i > $i > $o).
% 2.42/0.64 thf(func_def_501, type, sK124: $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_502, type, sK125: $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_509, type, sK132: ($i > $i) > $i > $i > $i).
% 2.42/0.64 thf(func_def_512, type, sK135: $i > $i).
% 2.42/0.64 thf(func_def_515, type, sK138: $i > $i > $o).
% 2.42/0.64 thf(func_def_532, type, sK155: $i > $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_539, type, sK162: $i > $o).
% 2.42/0.64 thf(func_def_551, type, sK174: $i > $i).
% 2.42/0.64 thf(func_def_558, type, sK181: $o > $i > $i > $i).
% 2.42/0.64 thf(func_def_567, type, sK190: $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_570, type, sK193: $i > $i).
% 2.42/0.64 thf(func_def_597, type, sK220: $i > $i).
% 2.42/0.64 thf(func_def_598, type, sK221: ($i > $i) > $i > $i > $i).
% 2.42/0.64 thf(func_def_603, type, sK226: $i > $i).
% 2.42/0.64 thf(func_def_606, type, sK229: $i > $i > ($i > $i) > $i).
% 2.42/0.64 thf(func_def_615, type, sK238: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_616, type, sK239: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_617, type, sK240: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_618, type, sK241: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_627, type, sK250: $i > $i).
% 2.42/0.64 thf(func_def_636, type, sK259: $i > $i > $o).
% 2.42/0.64 thf(func_def_667, type, sK290: $i > $i).
% 2.42/0.64 thf(func_def_669, type, sK292: $i > $o).
% 2.42/0.64 thf(func_def_670, type, sK293: $i > $o).
% 2.42/0.64 thf(func_def_671, type, sK294: ($i > $o) > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_672, type, sK295: ($i > $o) > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_673, type, sK296: $i > $o).
% 2.42/0.64 thf(func_def_676, type, sK299: $i > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_677, type, sK300: $i > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_693, type, sK316: $i > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_694, type, sK317: $i > $o).
% 2.42/0.64 thf(func_def_700, type, sK323: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.42/0.64 thf(func_def_701, type, sK324: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.42/0.64 thf(func_def_704, type, sK327: $i > $o).
% 2.42/0.64 thf(func_def_705, type, sK328: $i > $o).
% 2.42/0.64 thf(func_def_713, type, sK336: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_714, type, sK337: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_715, type, sK338: $i > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_716, type, sK339: $i > $o).
% 2.42/0.64 thf(func_def_732, type, sK355: $i > $o).
% 2.42/0.64 thf(func_def_736, type, sK359: $i > $i).
% 2.42/0.64 thf(func_def_738, type, sK361: $i > ($i > $i) > $i > $i).
% 2.42/0.64 thf(func_def_739, type, sK362: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_743, type, sK366: $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_781, type, sK404: $i > $i).
% 2.42/0.64 thf(func_def_792, type, sK415: $i > $i > $i).
% 2.42/0.64 thf(func_def_799, type, sK422: $i > $i > $i).
% 2.42/0.64 thf(func_def_809, type, sK432: $i > $i > $i).
% 2.42/0.64 thf(func_def_810, type, sK433: $i > $i > $i).
% 2.42/0.64 thf(func_def_828, type, sK451: ($i > $i) > $i > $i > $i).
% 2.42/0.64 thf(func_def_831, type, sK454: $i > $i).
% 2.42/0.64 thf(func_def_837, type, sK460: $i > $o).
% 2.42/0.64 thf(func_def_841, type, sK464: $i > $o).
% 2.42/0.64 thf(func_def_845, type, sK468: $i > $i > $o).
% 2.42/0.64 thf(func_def_877, type, sK500: $i > $o).
% 2.42/0.64 thf(func_def_916, type, sK539: $i > $i > $i).
% 2.42/0.64 thf(func_def_917, type, sK540: $i > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_918, type, sK541: $i > $o).
% 2.42/0.64 thf(func_def_925, type, sK548: $i > ($i > $i) > $i).
% 2.42/0.64 thf(func_def_926, type, sK549: $i > $i > ($i > $i) > $i).
% 2.42/0.64 thf(func_def_927, type, sK550: $i > $i).
% 2.42/0.64 thf(func_def_929, type, sK552: $i > $i).
% 2.42/0.64 thf(func_def_930, type, sK553: $i > $i).
% 2.42/0.64 thf(func_def_943, type, sK566: $i > $i > $i).
% 2.42/0.64 thf(func_def_944, type, sK567: $i > ($i > $i) > $i > $i).
% 2.42/0.64 thf(func_def_946, type, sK569: $i > $i).
% 2.42/0.64 thf(func_def_950, type, sK573: $i > $o).
% 2.42/0.64 thf(func_def_952, type, sK575: ($i > $o) > $i > $i > $i).
% 2.42/0.64 thf(func_def_953, type, sK576: ($i > $o) > $i > $i > $i).
% 2.42/0.64 thf(func_def_978, type, sK601: ($i > $o) > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_979, type, sK602: ($i > $o) > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_980, type, sK603: $i > $o).
% 2.42/0.64 thf(func_def_981, type, sK604: $i > $o).
% 2.42/0.64 thf(func_def_992, type, sK615: $i > $i > $o).
% 2.42/0.64 thf(func_def_1010, type, sK633: $i > ($i > $i > $o) > $i > $i).
% 2.42/0.64 thf(func_def_1012, type, sK635: $i > $i > $o).
% 2.42/0.64 thf(func_def_1014, type, sK637: $i > $i).
% 2.42/0.64 thf(func_def_1032, type, sK655: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1057, type, sK680: $i > $i > $i).
% 2.42/0.64 thf(func_def_1096, type, sK719: $i > $i > $o).
% 2.42/0.64 thf(func_def_1108, type, sK731: $i > $o).
% 2.42/0.64 thf(func_def_1110, type, sK733: ($i > $o) > $i > $i).
% 2.42/0.64 thf(func_def_1130, type, sK753: $i > $o).
% 2.42/0.64 thf(func_def_1133, type, sK756: $i > $o).
% 2.42/0.64 thf(func_def_1135, type, sK758: ($i > $o) > $i).
% 2.42/0.64 thf(func_def_1136, type, sK759: ($i > $o) > $i).
% 2.42/0.64 thf(func_def_1151, type, sK774: $i > $o).
% 2.42/0.64 thf(func_def_1155, type, sK778: $i > $i).
% 2.42/0.64 thf(func_def_1157, type, sK780: ($i > $i) > $i > $i > $i).
% 2.42/0.64 thf(func_def_1159, type, sK782: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1160, type, sK783: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1167, type, sK790: $i > $i > $i).
% 2.42/0.64 thf(func_def_1168, type, sK791: $i > $i > $i).
% 2.42/0.64 thf(func_def_1169, type, sK792: $i > $i > $i).
% 2.42/0.64 thf(func_def_1170, type, sK793: $i > $i > $i).
% 2.42/0.64 thf(func_def_1171, type, sK794: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1172, type, sK795: $i > $i).
% 2.42/0.64 thf(func_def_1173, type, sK796: $i > $i).
% 2.42/0.64 thf(func_def_1174, type, sK797: $i > $i).
% 2.42/0.64 thf(func_def_1175, type, sK798: $i > $i).
% 2.42/0.64 thf(func_def_1176, type, sK799: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1177, type, sK800: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1178, type, sK801: $i > $i > $i).
% 2.42/0.64 thf(func_def_1179, type, sK802: $i > $i > $i).
% 2.42/0.64 thf(func_def_1180, type, sK803: $i > $i > $i).
% 2.42/0.64 thf(func_def_1182, type, sK805: $i > $i).
% 2.42/0.64 thf(func_def_1183, type, sK806: $i > $i).
% 2.42/0.64 thf(func_def_1184, type, sK807: $i > $i).
% 2.42/0.64 thf(func_def_1185, type, sK808: $i > $i > $i).
% 2.42/0.64 thf(func_def_1189, type, sK812: $i > $o).
% 2.42/0.64 thf(func_def_1191, type, sK814: ($i > $o) > $i > $i).
% 2.42/0.64 thf(func_def_1192, type, sK815: ($i > $o) > $i).
% 2.42/0.64 thf(func_def_1193, type, sK816: $i > $o).
% 2.42/0.64 thf(func_def_1194, type, sK817: $i > $i).
% 2.42/0.64 thf(func_def_1202, type, sK825: $i > $i > $o).
% 2.42/0.64 thf(func_def_1218, type, sK841: $i > $o).
% 2.42/0.64 thf(func_def_1229, type, sK852: $i > $o).
% 2.42/0.64 thf(func_def_1232, type, sK855: $i > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_1233, type, sK856: $i > ($i > $o) > $i).
% 2.42/0.64 thf(func_def_1253, type, sK876: $i > $o).
% 2.42/0.64 thf(func_def_1255, type, sK878: ($i > $o) > $i > $i).
% 2.42/0.64 thf(func_def_1259, type, sK882: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1260, type, sK883: $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1270, type, sK893: $i > $i).
% 2.42/0.64 thf(func_def_1272, type, sK895: ($i > $i) > $i > $i > $i).
% 2.42/0.64 thf(func_def_1286, type, sK909: $i > $i > $i).
% 2.42/0.64 thf(func_def_1287, type, sK910: ($i > $o) > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1288, type, sK911: ($i > $o) > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1292, type, sK915: $i > $o).
% 2.42/0.64 thf(func_def_1311, type, sK934: $i > $o).
% 2.42/0.64 thf(func_def_1316, type, sK939: $i > $o).
% 2.42/0.64 thf(func_def_1317, type, sK940: $i > $i).
% 2.42/0.64 thf(func_def_1318, type, sK941: ($i > $o) > $i).
% 2.42/0.64 thf(func_def_1319, type, sK942: $i > $o).
% 2.42/0.64 thf(func_def_1347, type, sK970: $i > $i > $i).
% 2.42/0.64 thf(func_def_1357, type, sK980: $i > $i > $o).
% 2.42/0.64 thf(func_def_1359, type, sK982: $i > $i).
% 2.42/0.64 thf(func_def_1360, type, sK983: $i > $i).
% 2.42/0.64 thf(func_def_1361, type, sK984: $i > ($i > $i > $o) > $i).
% 2.42/0.64 thf(func_def_1362, type, sK985: $i > ($i > $i > $o) > $i).
% 2.42/0.64 thf(func_def_1363, type, sK986: $i > $i > ($i > $i > $o) > $i).
% 2.42/0.64 thf(func_def_1368, type, sK991: $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1369, type, sK992: $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1370, type, sK993: $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1371, type, sK994: $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1377, type, sK1000: $i > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1383, type, sK1006: $i > $i).
% 2.42/0.64 thf(func_def_1395, type, sK1018: $i > $o).
% 2.42/0.64 thf(func_def_1397, type, sK1020: ($i > $o) > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1398, type, sK1021: ($i > $o) > $i > $i > $i > $i).
% 2.42/0.64 thf(func_def_1408, type, sK1031: $i > $o).
% 2.42/0.64 thf(func_def_1409, type, sK1032: ($i > $o) > $i).
% 2.42/0.64 thf(func_def_1414, type, sK1037: $i > $o).
% 2.42/0.64 thf(func_def_1419, type, sK1042: $i > $o).
% 2.42/0.64 thf(func_def_1439, type, ph1062: !>[X0: $tType]:(X0)).
% 2.42/0.64 thf(f5730,plain,(
% 2.42/0.64 $false),
% 2.42/0.64 inference(trivial_inequality_removal,[],[f5723])).
% 2.42/0.64 thf(f5723,plain,(
% 2.42/0.64 ($true != $true)),
% 2.42/0.64 inference(superposition,[],[f5000,f3258])).
% 2.42/0.64 thf(f3258,plain,(
% 2.42/0.64 ($true = (in @ sK177 @ sK175))),
% 2.42/0.64 inference(cnf_transformation,[],[f1653])).
% 2.42/0.64 thf(f1653,plain,(
% 2.42/0.64 (setunionAx = $true) & (lamp = $true) & (setadjoinOr = $true) & (breln1all2 = $true) & (sepInPowerset = $true) & (theeq = $true) & (ex1I = $true) & (setminusI = $true) & (eta2 = $true) & (singletonsubset = $true) & (dsetconstrER = $true) & (cartprodsndpairEq = $true) & (cartprodpairsurjEq = $true) & (omegaIndAx = $true) & (setadjoinSub = $true) & (upairequniteq = $true) & (subsetE = $true) & (exuI3 = $true) & (funcextLem = $true) & (setukpairinjR11 = $true) & (eqimpsubset1 = $true) & (ubforcartprodlem1 = $true) & (symdiffI1 = $true) & (setunionE2 = $true) & (woz13rule1 = $true) & (contrasubsetT2 = $true) & (subsetemptysetimpeq = $true) & (ifSingleton = $true) & (powersetI = $true) & (setunionE = $true) & (foundationAx = $true) & (beta1 = $true) & (setukpairinjR2 = $true) & (doubleComplementI1 = $true) & (setukpairIL = $true) & (woz2B = $true) & (apProp = $true) & (binintersectSubset3 = $true) & (theprop = $true) & (notsubsetI = $true) & (binunionRsub = $true) & (symdiffIneg2 = $true) & (dpsetconstrEL1 = $true) & (ifp = $true) & (binunionT_lem = $true) & (demorgan1b = $true) & (binintersectTELcontra = $true) & (choice2fnsingleton = $true) & (setbeta = $true) & (binintersectSubset2 = $true) & (beta2 = $true) & (funcGraphProp3 = $true) & (powersetE1 = $true) & (lamProp = $true) & (binunionTE = $true) & (emptyset__Cong = $true) & (subsetE2 = $true) & (setOfPairsIsBReln = $true) & (setadjoin__Cong = $true) & (cartprodpairmemEL = $true) & (upairset2E = $true) & (doubleComplementSub2 = $true) & (eqbreln1 = $true) & (setunionI = $true) & (iffalse = $true) & (kpairsurjEq = $true) & (emptyInPowerset = $true) & (setminusIRneg = $true) & (woz1_1 = $true) & (ex1E1 = $true) & (funcGraphProp4 = $true) & (binintersectSubset5 = $true) & (woz1_5 = $true) & (setextT = $true) & (subbreln = $true) & (setukpairinjR12 = $true) & (woz1_3 = $true) & (quantDeMorgan2 = $true) & (ap2p = $true) & (setadjoinIR = $true) & (subsetI2 = $true) & (breln1invE = $true) & (quantDeMorgan3 = $true) & (wellorderingAx = $true) & (breln1unionEcases = $true) & (iftrueProp2 = $true) & (setukpairinjR = $true) & (demorgan2a = $true) & (contraSubsetComplement = $true) & (breln1unionE = $true) & (funcinfuncset = $true) & (binintersectRsub = $true) & (contrasubsetT1 = $true) & (dsetconstr__Cong = $true) & (setukpairIR = $true) & (contrasubsetT3 = $true) & (subsetRefl = $true) & (exuI1 = $true) & (omega0Ax = $true) & (setadjoinE = $true) & (cartprodpairmemER = $true) & (kpairiskpair = $true) & (breln1compI = $true) & (ubforcartprodlem3 = $true) & (nonemptyImpWitness = $true) & (subbreln1 = $true) & (cartprodfstin = $true) & (dpsetconstrEL2 = $true) & (notinsingleton = $true) & (complementImpComplementIntersect = $true) & (dsetconstrEL = $true) & (cartprodpairin = $true) & (binintersectI = $true) & (subsetI1 = $true) & (singletonsswitch = $true) & (setminusELneg = $true) & (emptysetE = $true) & (woz2A = $true) & (emptyinPowerset = $true) & (breln1unionIL = $true) & (woz2W = $true) & (iftrueProp1 = $true) & (upairsetE = $true) & (breln1invI = $true) & (dsetconstrI = $true) & (binintersectER = $true) & (sepSubset = $true) & (iftrue = $true) & (setminusEL = $true) & (binintersectT_lem = $true) & (setoftrueEq = $true) & (powersetsubset = $true) & (exu__Cong = $true) & (emptysetAx = $true) & (setminusERneg = $true) & (complementTnotintersectT = $true) & (binintersectSubset1 = $true) & (infuncsetfunc = $true) & (funcGraphProp2 = $true) & (inIntersectImpInIntersectUnions = $true) & (ex1I2 = $true) & (singletonprop = $true) & (eqbreln = $true) & (ex1E2 = $true) & (emptysetimpfalse = $true) & (binunionTEcontra = $true) & (nonemptyI = $true) & (demorgan2a2 = $true) & (ap2apEq2 = $true) & (emptyE1 = $true) & (cartprodmempaircEq = $true) & (complementUnionInPowersetComplement = $true) & (ksndpairEq = $true) & (woz1_4 = $true) & (breln1invprop = $true) & (setunionsingleton2 = $true) & (complementTI1 = $true) & (setextAx = $true) & (nonemptyI1 = $true) & (inCongP = $true) & (notequalI2 = $true) & (complementTcontraSubset = $true) & (image1Equiv = $true) & (kfstpairEq = $true) & (inComplementUnionImpNotIn1 = $true) & (binintersectSubset4 = $true) & (noeltsimpempty = $true) & (intersectInPowersetIntersectUnions = $true) & (setextsub = $true) & (powersetAx = $true) & (complementTE1 = $true) & (subsetTrans = $true) & (eqimpsubset2 = $true) & (exuE1 = $true) & (nonemptyE1 = $true) & (bs114d = $true) & (prop2setE = $true) & (binintersectEL = $true) & (powersetT_lem = $true) & (subset2powerset = $true) & (dpsetconstrI = $true) & (cartprodmempair1 = $true) & (funcImageSingleton = $true) & (doubleComplementEq = $true) & (demorgan2b = $true) & (setunionsingleton1 = $true) & (dpsetconstrSub = $true) & (woz13rule0 = $true) & (binintersectTERcontra = $true) & (exuEu = $true) & (symdiffI2 = $true) & (setminusER = $true) & (ksndsingleton = $true) & (quantDeMorgan1 = $true) & (lam2lamEq = $true) & (setunionsingleton = $true) & (dpsetconstrER = $true) & (setadjoinIL = $true) & (demorgan1 = $true) & (contrasubsetT = $true) & (setadjoinAx = $true) & (upairsetIL = $true) & (complementSubsetComplementIntersect = $true) & (emptysetsubset = $true) & (upairsetIR = $true) & (brelnall2 = $true) & (ap2apEq1 = $true) & (eqinunit = $true) & (breln1unionprop = $true) & (binunionLsub = $true) & (symdiffIneg1 = $true) & (exuE3e = $true) & (kfstsingleton = $true) & (breln1compprop = $true) & (funcext = $true) & (dpsetconstrERa = $true) & (descr__Cong = $true) & (notdexE = $true) & (setunion__Cong = $true) & (upairset2IR = $true) & (lam2p = $true) & (breln1SetBreln1 = $true) & (eta1 = $true) & (inPowerset = $true) & (inIntersectImpInUnion = $true) & (subPowSU = $true) & (binunionIL = $true) & (image1Ex1 = $true) & (upairinpowunion = $true) & (woz13rule3 = $true) & (iffalseProp1 = $true) & (inIntersectImpInUnion2 = $true) & (setukpairinjL2 = $true) & (breln1unionI = $true) & (omega__Cong = $true) & (demorgan2b2 = $true) & (notequalI1 = $true) & (exuE3u = $true) & (vacuousDall = $true) & (binunionTILcontra = $true) & (prop2setI = $true) & (setukpairinjL = $true) & (symdiffE = $true) & (inComplementUnionImpInComplement1 = $true) & (powerset__Cong = $true) & (doubleComplementSub1 = $true) & (replAx = $true) & (setukpairinjL1 = $true) & (cartprodmempair = $true) & (setadjoinSub2 = $true) & (woz13rule4 = $true) & (singletonsuniq = $true) & (funcext2 = $true) & (notinemptyset = $true) & (complementInPowersetComplementIntersect = $true) & (funcGraphProp1 = $true) & (app = $true) & (breln1compEex = $true) & (setminusT_lem = $true) & (woz1_2 = $true) & (omegaSAx = $true) & (setminusILneg = $true) & (demorgan1a = $true) & (prop2set2propI = $true) & (singletoninpowunion = $true) & (ubforcartprodlem2 = $true) & (binunionE = $true) & (subsetTI = $true) & (setminusSubset1 = $true) & (in__Cong = $true) & (setminusSubset2 = $true) & (powersetTI1 = $true) & (demorgan2a1 = $true) & (powersetTE1 = $true) & (cartprodfstpairEq = $true) & (woz2Ex = $true) & (complementT_lem = $true) & (setOfPairsIsBReln1 = $true) & ((((sK174 @ sK177) = sK176) & ($true = (in @ sK177 @ sK175))) & ($true != (in @ sK176 @ (image1 @ sK175 @ (^[Y0 : $i]: (sK174 @ Y0)))))) & (binunionEcases = $true) & (powersetE = $true) & (doubleComplementE1 = $true) & (woz13rule2 = $true) & (setukpairinjR1 = $true) & (powersetI1 = $true) & (kpairp = $true) & (notdallE = $true) & (exuE2 = $true) & (brelnall1 = $true) & (quantDeMorgan4 = $true) & (iffalseProp2 = $true) & (binintersectLsub = $true) & (iftrueorfalse = $true) & (breln1all1 = $true) & (breln1compE = $true) & (secondinupair = $true) & (breln1unionIR = $true) & (upairsubunion = $true) & (demorgan2 = $true) & (descrp = $true) & (exuI2 = $true) & (singletoninpowerset = $true) & (setext = $true) & (image1Ex = $true) & (uniqinunit = $true) & (image1E = $true) & (cartprodsndin = $true) & (binunionIR = $true) & (disjointsetsI1 = $true) & (emptyI = $true) & (emptyinunitempty = $true) & (binunionTIRcontra = $true) & (breln1unionCommutes = $true) & (setminusLsub = $true)),
% 2.42/0.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK174,sK175,sK176,sK177])],[f1119,f1652,f1651])).
% 2.42/0.64 thf(f1651,plain,(
% 2.42/0.64 ? [X0 : $i > $i,X1,X2] : (? [X3] : (((X0 @ X3) = X2) & ((in @ X3 @ X1) = $true)) & ((in @ X2 @ (image1 @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))) != $true)) => (? [X3] : ((sK176 = (sK174 @ X3)) & ((in @ X3 @ sK175) = $true)) & ($true != (in @ sK176 @ (image1 @ sK175 @ (^[Y0 : $i]: (sK174 @ Y0))))))),
% 2.42/0.64 introduced(choice_axiom,[])).
% 2.42/0.64 thf(f1652,plain,(
% 2.42/0.64 ? [X3] : ((sK176 = (sK174 @ X3)) & ((in @ X3 @ sK175) = $true)) => (((sK174 @ sK177) = sK176) & ($true = (in @ sK177 @ sK175)))),
% 2.42/0.64 introduced(choice_axiom,[])).
% 2.42/0.64 thf(f1119,plain,(
% 2.42/0.64 (setunionAx = $true) & (lamp = $true) & (setadjoinOr = $true) & (breln1all2 = $true) & (sepInPowerset = $true) & (theeq = $true) & (ex1I = $true) & (setminusI = $true) & (eta2 = $true) & (singletonsubset = $true) & (dsetconstrER = $true) & (cartprodsndpairEq = $true) & (cartprodpairsurjEq = $true) & (omegaIndAx = $true) & (setadjoinSub = $true) & (upairequniteq = $true) & (subsetE = $true) & (exuI3 = $true) & (funcextLem = $true) & (setukpairinjR11 = $true) & (eqimpsubset1 = $true) & (ubforcartprodlem1 = $true) & (symdiffI1 = $true) & (setunionE2 = $true) & (woz13rule1 = $true) & (contrasubsetT2 = $true) & (subsetemptysetimpeq = $true) & (ifSingleton = $true) & (powersetI = $true) & (setunionE = $true) & (foundationAx = $true) & (beta1 = $true) & (setukpairinjR2 = $true) & (doubleComplementI1 = $true) & (setukpairIL = $true) & (woz2B = $true) & (apProp = $true) & (binintersectSubset3 = $true) & (theprop = $true) & (notsubsetI = $true) & (binunionRsub = $true) & (symdiffIneg2 = $true) & (dpsetconstrEL1 = $true) & (ifp = $true) & (binunionT_lem = $true) & (demorgan1b = $true) & (binintersectTELcontra = $true) & (choice2fnsingleton = $true) & (setbeta = $true) & (binintersectSubset2 = $true) & (beta2 = $true) & (funcGraphProp3 = $true) & (powersetE1 = $true) & (lamProp = $true) & (binunionTE = $true) & (emptyset__Cong = $true) & (subsetE2 = $true) & (setOfPairsIsBReln = $true) & (setadjoin__Cong = $true) & (cartprodpairmemEL = $true) & (upairset2E = $true) & (doubleComplementSub2 = $true) & (eqbreln1 = $true) & (setunionI = $true) & (iffalse = $true) & (kpairsurjEq = $true) & (emptyInPowerset = $true) & (setminusIRneg = $true) & (woz1_1 = $true) & (ex1E1 = $true) & (funcGraphProp4 = $true) & (binintersectSubset5 = $true) & (woz1_5 = $true) & (setextT = $true) & (subbreln = $true) & (setukpairinjR12 = $true) & (woz1_3 = $true) & (quantDeMorgan2 = $true) & (ap2p = $true) & (setadjoinIR = $true) & (subsetI2 = $true) & (breln1invE = $true) & (quantDeMorgan3 = $true) & (wellorderingAx = $true) & (breln1unionEcases = $true) & (iftrueProp2 = $true) & (setukpairinjR = $true) & (demorgan2a = $true) & (contraSubsetComplement = $true) & (breln1unionE = $true) & (funcinfuncset = $true) & (binintersectRsub = $true) & (contrasubsetT1 = $true) & (dsetconstr__Cong = $true) & (setukpairIR = $true) & (contrasubsetT3 = $true) & (subsetRefl = $true) & (exuI1 = $true) & (omega0Ax = $true) & (setadjoinE = $true) & (cartprodpairmemER = $true) & (kpairiskpair = $true) & (breln1compI = $true) & (ubforcartprodlem3 = $true) & (nonemptyImpWitness = $true) & (subbreln1 = $true) & (cartprodfstin = $true) & (dpsetconstrEL2 = $true) & (notinsingleton = $true) & (complementImpComplementIntersect = $true) & (dsetconstrEL = $true) & (cartprodpairin = $true) & (binintersectI = $true) & (subsetI1 = $true) & (singletonsswitch = $true) & (setminusELneg = $true) & (emptysetE = $true) & (woz2A = $true) & (emptyinPowerset = $true) & (breln1unionIL = $true) & (woz2W = $true) & (iftrueProp1 = $true) & (upairsetE = $true) & (breln1invI = $true) & (dsetconstrI = $true) & (binintersectER = $true) & (sepSubset = $true) & (iftrue = $true) & (setminusEL = $true) & (binintersectT_lem = $true) & (setoftrueEq = $true) & (powersetsubset = $true) & (exu__Cong = $true) & (emptysetAx = $true) & (setminusERneg = $true) & (complementTnotintersectT = $true) & (binintersectSubset1 = $true) & (infuncsetfunc = $true) & (funcGraphProp2 = $true) & (inIntersectImpInIntersectUnions = $true) & (ex1I2 = $true) & (singletonprop = $true) & (eqbreln = $true) & (ex1E2 = $true) & (emptysetimpfalse = $true) & (binunionTEcontra = $true) & (nonemptyI = $true) & (demorgan2a2 = $true) & (ap2apEq2 = $true) & (emptyE1 = $true) & (cartprodmempaircEq = $true) & (complementUnionInPowersetComplement = $true) & (ksndpairEq = $true) & (woz1_4 = $true) & (breln1invprop = $true) & (setunionsingleton2 = $true) & (complementTI1 = $true) & (setextAx = $true) & (nonemptyI1 = $true) & (inCongP = $true) & (notequalI2 = $true) & (complementTcontraSubset = $true) & (image1Equiv = $true) & (kfstpairEq = $true) & (inComplementUnionImpNotIn1 = $true) & (binintersectSubset4 = $true) & (noeltsimpempty = $true) & (intersectInPowersetIntersectUnions = $true) & (setextsub = $true) & (powersetAx = $true) & (complementTE1 = $true) & (subsetTrans = $true) & (eqimpsubset2 = $true) & (exuE1 = $true) & (nonemptyE1 = $true) & (bs114d = $true) & (prop2setE = $true) & (binintersectEL = $true) & (powersetT_lem = $true) & (subset2powerset = $true) & (dpsetconstrI = $true) & (cartprodmempair1 = $true) & (funcImageSingleton = $true) & (doubleComplementEq = $true) & (demorgan2b = $true) & (setunionsingleton1 = $true) & (dpsetconstrSub = $true) & (woz13rule0 = $true) & (binintersectTERcontra = $true) & (exuEu = $true) & (symdiffI2 = $true) & (setminusER = $true) & (ksndsingleton = $true) & (quantDeMorgan1 = $true) & (lam2lamEq = $true) & (setunionsingleton = $true) & (dpsetconstrER = $true) & (setadjoinIL = $true) & (demorgan1 = $true) & (contrasubsetT = $true) & (setadjoinAx = $true) & (upairsetIL = $true) & (complementSubsetComplementIntersect = $true) & (emptysetsubset = $true) & (upairsetIR = $true) & (brelnall2 = $true) & (ap2apEq1 = $true) & (eqinunit = $true) & (breln1unionprop = $true) & (binunionLsub = $true) & (symdiffIneg1 = $true) & (exuE3e = $true) & (kfstsingleton = $true) & (breln1compprop = $true) & (funcext = $true) & (dpsetconstrERa = $true) & (descr__Cong = $true) & (notdexE = $true) & (setunion__Cong = $true) & (upairset2IR = $true) & (lam2p = $true) & (breln1SetBreln1 = $true) & (eta1 = $true) & (inPowerset = $true) & (inIntersectImpInUnion = $true) & (subPowSU = $true) & (binunionIL = $true) & (image1Ex1 = $true) & (upairinpowunion = $true) & (woz13rule3 = $true) & (iffalseProp1 = $true) & (inIntersectImpInUnion2 = $true) & (setukpairinjL2 = $true) & (breln1unionI = $true) & (omega__Cong = $true) & (demorgan2b2 = $true) & (notequalI1 = $true) & (exuE3u = $true) & (vacuousDall = $true) & (binunionTILcontra = $true) & (prop2setI = $true) & (setukpairinjL = $true) & (symdiffE = $true) & (inComplementUnionImpInComplement1 = $true) & (powerset__Cong = $true) & (doubleComplementSub1 = $true) & (replAx = $true) & (setukpairinjL1 = $true) & (cartprodmempair = $true) & (setadjoinSub2 = $true) & (woz13rule4 = $true) & (singletonsuniq = $true) & (funcext2 = $true) & (notinemptyset = $true) & (complementInPowersetComplementIntersect = $true) & (funcGraphProp1 = $true) & (app = $true) & (breln1compEex = $true) & (setminusT_lem = $true) & (woz1_2 = $true) & (omegaSAx = $true) & (setminusILneg = $true) & (demorgan1a = $true) & (prop2set2propI = $true) & (singletoninpowunion = $true) & (ubforcartprodlem2 = $true) & (binunionE = $true) & (subsetTI = $true) & (setminusSubset1 = $true) & (in__Cong = $true) & (setminusSubset2 = $true) & (powersetTI1 = $true) & (demorgan2a1 = $true) & (powersetTE1 = $true) & (cartprodfstpairEq = $true) & (woz2Ex = $true) & (complementT_lem = $true) & (setOfPairsIsBReln1 = $true) & ? [X0 : $i > $i,X1,X2] : (? [X3] : (((X0 @ X3) = X2) & ((in @ X3 @ X1) = $true)) & ((in @ X2 @ (image1 @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))) != $true)) & (binunionEcases = $true) & (powersetE = $true) & (doubleComplementE1 = $true) & (woz13rule2 = $true) & (setukpairinjR1 = $true) & (powersetI1 = $true) & (kpairp = $true) & (notdallE = $true) & (exuE2 = $true) & (brelnall1 = $true) & (quantDeMorgan4 = $true) & (iffalseProp2 = $true) & (binintersectLsub = $true) & (iftrueorfalse = $true) & (breln1all1 = $true) & (breln1compE = $true) & (secondinupair = $true) & (breln1unionIR = $true) & (upairsubunion = $true) & (demorgan2 = $true) & (descrp = $true) & (exuI2 = $true) & (singletoninpowerset = $true) & (setext = $true) & (image1Ex = $true) & (uniqinunit = $true) & (image1E = $true) & (cartprodsndin = $true) & (binunionIR = $true) & (disjointsetsI1 = $true) & (emptyI = $true) & (emptyinunitempty = $true) & (binunionTIRcontra = $true) & (breln1unionCommutes = $true) & (setminusLsub = $true)),
% 2.42/0.64 inference(flattening,[],[f1118])).
% 2.42/0.64 thf(f1118,plain,(
% 2.42/0.64 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i > $i,X1,X2] : (? [X3] : (((X0 @ X3) = X2) & ((in @ X3 @ X1) = $true)) & ((in @ X2 @ (image1 @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))) != $true)) & (image1E = $true)) & (image1Equiv = $true)) & (image1Ex1 = $true)) & (image1Ex = $true)) & (woz2B = $true)) & (woz2A = $true)) & (woz2W = $true)) & (woz2Ex = $true)) & (breln1unionCommutes = $true)) & (breln1unionEcases = $true)) & (breln1unionE = $true)) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (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)),
% 2.42/0.64 inference(ennf_transformation,[],[f583])).
% 2.42/0.64 thf(f583,plain,(
% 2.42/0.64 ~((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) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ((woz2B = $true) => ((image1Ex = $true) => ((image1Ex1 = $true) => ((image1Equiv = $true) => ((image1E = $true) => ! [X0 : $i > $i,X1,X2] : (? [X3] : (((X0 @ X3) = X2) & ((in @ X3 @ X1) = $true)) => ((in @ X2 @ (image1 @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.42/0.64 inference(fool_elimination,[],[f582])).
% 2.42/0.64 thf(f582,plain,(
% 2.42/0.64 ~(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 => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => ! [X0 : $i > $i,X1,X2] : (? [X3] : ((in @ X3 @ X1) & ((X0 @ X3) = X2)) => (in @ X2 @ (image1 @ X1 @ (^[X4 : $i] : (X0 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.42/0.64 inference(rectify,[],[f317])).
% 2.42/0.64 thf(f317,negated_conjecture,(
% 2.42/0.64 ~(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 => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => ! [X12 : $i > $i,X3,X1] : (? [X2] : ((in @ X2 @ X3) & ((X12 @ X2) = X1)) => (in @ X1 @ (image1 @ X3 @ (^[X2 : $i] : (X12 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.42/0.64 inference(negated_conjecture,[],[f316])).
% 2.42/0.64 thf(f316,conjecture,(
% 2.42/0.64 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 => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => ! [X12 : $i > $i,X3,X1] : (? [X2] : ((in @ X2 @ X3) & ((X12 @ X2) = X1)) => (in @ X1 @ (image1 @ X3 @ (^[X2 : $i] : (X12 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.42/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image1I)).
% 2.42/0.64 thf(f5000,plain,(
% 2.42/0.64 ($true != (in @ sK177 @ sK175))),
% 2.42/0.64 inference(trivial_inequality_removal,[],[f4995])).
% 2.42/0.64 thf(f4995,plain,(
% 2.42/0.64 ($true != (in @ sK177 @ sK175)) | ($true != $true)),
% 2.42/0.64 inference(superposition,[],[f4947,f4953])).
% 2.42/0.64 thf(f4953,plain,(
% 2.42/0.64 ( ! [X0 : $i] : (((in @ sK176 @ (image1 @ X0 @ sK174)) = $true) | ((in @ sK177 @ X0) != $true)) )),
% 2.42/0.64 inference(trivial_inequality_removal,[],[f4952])).
% 2.42/0.64 thf(f4952,plain,(
% 2.42/0.64 ( ! [X0 : $i] : (((in @ sK176 @ (image1 @ X0 @ sK174)) = $true) | ((in @ sK177 @ X0) != $true) | ($true != $true)) )),
% 2.42/0.64 inference(forward_demodulation,[],[f4949,f3375])).
% 2.42/0.64 thf(f3375,plain,(
% 2.42/0.64 (image1Equiv = $true)),
% 2.42/0.64 inference(cnf_transformation,[],[f1653])).
% 2.42/0.64 thf(f4949,plain,(
% 2.42/0.64 ( ! [X0 : $i] : ((image1Equiv != $true) | ((in @ sK176 @ (image1 @ X0 @ sK174)) = $true) | ((in @ sK177 @ X0) != $true)) )),
% 2.42/0.64 inference(superposition,[],[f4814,f3259])).
% 2.42/0.64 thf(f3259,plain,(
% 2.42/0.64 ((sK174 @ sK177) = sK176)),
% 2.42/0.64 inference(cnf_transformation,[],[f1653])).
% 2.42/0.64 thf(f4814,plain,(
% 2.42/0.64 ( ! [X2 : $i > $i,X3 : $i,X0 : $i] : (($true = (in @ (X2 @ X3) @ (image1 @ X0 @ X2))) | ($true != (in @ X3 @ X0)) | (image1Equiv != $true)) )),
% 2.42/0.64 inference(beta_eta_normalization,[],[f4766])).
% 2.42/0.64 thf(f4766,plain,(
% 2.42/0.64 ( ! [X2 : $i > $i,X3 : $i,X0 : $i] : ((image1Equiv != $true) | ($true != (in @ X3 @ X0)) | ($true = (in @ (X2 @ X3) @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))))) )),
% 2.42/0.64 inference(equality_resolution,[],[f3169])).
% 2.42/0.64 thf(f3169,plain,(
% 2.42/0.64 ( ! [X2 : $i > $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) | ((X2 @ X3) != X1) | ($true != (in @ X3 @ X0)) | (image1Equiv != $true)) )),
% 2.42/0.64 inference(cnf_transformation,[],[f1599])).
% 2.42/0.64 thf(f1599,plain,(
% 2.42/0.64 (! [X0,X1,X2 : $i > $i] : ((((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) | ! [X3] : (((X2 @ X3) != X1) | ($true != (in @ X3 @ X0)))) & ((((X2 @ (sK132 @ X2 @ X1 @ X0)) = X1) & ((in @ (sK132 @ X2 @ X1 @ X0) @ X0) = $true)) | ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) != $true))) | (image1Equiv != $true)) & ((image1Equiv = $true) | ((! [X8] : ((sK134 != (sK135 @ X8)) | ($true != (in @ X8 @ sK133))) | ($true != (in @ sK134 @ (image1 @ sK133 @ (^[Y0 : $i]: (sK135 @ Y0)))))) & (((sK134 = (sK135 @ sK136)) & ($true = (in @ sK136 @ sK133))) | ($true = (in @ sK134 @ (image1 @ sK133 @ (^[Y0 : $i]: (sK135 @ Y0))))))))),
% 2.42/0.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK132,sK133,sK134,sK135,sK136])],[f1595,f1598,f1597,f1596])).
% 2.42/0.64 thf(f1596,plain,(
% 2.42/0.64 ! [X0,X1,X2 : $i > $i] : (? [X4] : (((X2 @ X4) = X1) & ($true = (in @ X4 @ X0))) => (((X2 @ (sK132 @ X2 @ X1 @ X0)) = X1) & ((in @ (sK132 @ X2 @ X1 @ X0) @ X0) = $true)))),
% 2.42/0.64 introduced(choice_axiom,[])).
% 2.42/0.64 thf(f1597,plain,(
% 2.42/0.64 ? [X5,X6,X7 : $i > $i] : ((! [X8] : (((X7 @ X8) != X6) | ((in @ X8 @ X5) != $true)) | ((in @ X6 @ (image1 @ X5 @ (^[Y0 : $i]: (X7 @ Y0)))) != $true)) & (? [X9] : (((X7 @ X9) = X6) & ((in @ X9 @ X5) = $true)) | ((in @ X6 @ (image1 @ X5 @ (^[Y0 : $i]: (X7 @ Y0)))) = $true))) => ((! [X8] : ((sK134 != (sK135 @ X8)) | ($true != (in @ X8 @ sK133))) | ($true != (in @ sK134 @ (image1 @ sK133 @ (^[Y0 : $i]: (sK135 @ Y0)))))) & (? [X9] : (((sK135 @ X9) = sK134) & ((in @ X9 @ sK133) = $true)) | ($true = (in @ sK134 @ (image1 @ sK133 @ (^[Y0 : $i]: (sK135 @ Y0)))))))),
% 2.42/0.64 introduced(choice_axiom,[])).
% 2.42/0.64 thf(f1598,plain,(
% 2.42/0.64 ? [X9] : (((sK135 @ X9) = sK134) & ((in @ X9 @ sK133) = $true)) => ((sK134 = (sK135 @ sK136)) & ($true = (in @ sK136 @ sK133)))),
% 2.42/0.64 introduced(choice_axiom,[])).
% 2.42/0.64 thf(f1595,plain,(
% 2.42/0.64 (! [X0,X1,X2 : $i > $i] : ((((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) | ! [X3] : (((X2 @ X3) != X1) | ($true != (in @ X3 @ X0)))) & (? [X4] : (((X2 @ X4) = X1) & ($true = (in @ X4 @ X0))) | ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) != $true))) | (image1Equiv != $true)) & ((image1Equiv = $true) | ? [X5,X6,X7 : $i > $i] : ((! [X8] : (((X7 @ X8) != X6) | ((in @ X8 @ X5) != $true)) | ((in @ X6 @ (image1 @ X5 @ (^[Y0 : $i]: (X7 @ Y0)))) != $true)) & (? [X9] : (((X7 @ X9) = X6) & ((in @ X9 @ X5) = $true)) | ((in @ X6 @ (image1 @ X5 @ (^[Y0 : $i]: (X7 @ Y0)))) = $true))))),
% 2.42/0.64 inference(rectify,[],[f1594])).
% 2.42/0.64 thf(f1594,plain,(
% 2.42/0.64 (! [X0,X1,X2 : $i > $i] : ((((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) | ! [X3] : (((X2 @ X3) != X1) | ($true != (in @ X3 @ X0)))) & (? [X3] : (((X2 @ X3) = X1) & ($true = (in @ X3 @ X0))) | ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) != $true))) | (image1Equiv != $true)) & ((image1Equiv = $true) | ? [X0,X1,X2 : $i > $i] : ((! [X3] : (((X2 @ X3) != X1) | ($true != (in @ X3 @ X0))) | ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) != $true)) & (? [X3] : (((X2 @ X3) = X1) & ($true = (in @ X3 @ X0))) | ((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true))))),
% 2.42/0.64 inference(nnf_transformation,[],[f986])).
% 2.42/0.64 thf(f986,plain,(
% 2.42/0.64 ! [X0,X1,X2 : $i > $i] : (((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) <=> ? [X3] : (((X2 @ X3) = X1) & ($true = (in @ X3 @ X0)))) <=> (image1Equiv = $true)),
% 2.42/0.64 inference(rectify,[],[f817])).
% 2.42/0.64 thf(f817,plain,(
% 2.42/0.64 (image1Equiv = $true) <=> ! [X0,X1,X2 : $i > $i] : (((in @ X1 @ (image1 @ X0 @ (^[Y0 : $i]: (X2 @ Y0)))) = $true) <=> ? [X4] : (((X2 @ X4) = X1) & ($true = (in @ X4 @ X0))))),
% 2.42/0.64 inference(fool_elimination,[],[f816])).
% 2.42/0.64 thf(f816,plain,(
% 2.42/0.64 (image1Equiv = ! [X0,X1,X2 : $i > $i] : ((in @ X1 @ (image1 @ X0 @ (^[X3 : $i] : (X2 @ X3)))) <=> ? [X4] : (((X2 @ X4) = X1) & (in @ X4 @ X0))))),
% 2.42/0.64 inference(rectify,[],[f314])).
% 2.42/0.64 thf(f314,axiom,(
% 2.42/0.64 (image1Equiv = ! [X3,X1,X12 : $i > $i] : ((in @ X1 @ (image1 @ X3 @ (^[X2 : $i] : (X12 @ X2)))) <=> ? [X2] : (((X12 @ X2) = X1) & (in @ X2 @ X3))))),
% 2.42/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image1Equiv)).
% 2.42/0.64 thf(f4947,plain,(
% 2.42/0.64 ($true != (in @ sK176 @ (image1 @ sK175 @ sK174)))),
% 2.42/0.64 inference(beta_eta_normalization,[],[f3257])).
% 2.42/0.64 thf(f3257,plain,(
% 2.42/0.64 ($true != (in @ sK176 @ (image1 @ sK175 @ (^[Y0 : $i]: (sK174 @ Y0)))))),
% 2.42/0.64 inference(cnf_transformation,[],[f1653])).
% 2.42/0.64 % SZS output end Proof for theBenchmark
% 2.42/0.64 % (5791)------------------------------
% 2.42/0.64 % (5791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.42/0.64 % (5791)Termination reason: Refutation
% 2.42/0.64
% 2.42/0.64 % (5791)Memory used [KB]: 11641
% 2.42/0.64 % (5791)Time elapsed: 0.266 s
% 2.42/0.64 % (5791)Instructions burned: 483 (million)
% 2.42/0.64 % (5791)------------------------------
% 2.42/0.64 % (5791)------------------------------
% 2.42/0.64 % (5768)Success in time 0.349 s
% 2.42/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------