TSTP Solution File: SEU718^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU718^1 : 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 : n002.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 03:51:00 EDT 2024
% Result : Theorem 2.17s 0.69s
% Output : Refutation 2.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SEU718^1 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n002.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 18:13:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.38 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.41 % (15782)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.42 % (15781)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.42 % (15786)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.23/0.42 % (15785)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.42 % (15785)Instruction limit reached!
% 0.23/0.42 % (15785)------------------------------
% 0.23/0.42 % (15785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (15785)Termination reason: Unknown
% 0.23/0.42 % (15785)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (15785)Memory used [KB]: 1407
% 0.23/0.42 % (15785)Time elapsed: 0.003 s
% 0.23/0.42 % (15785)Instructions burned: 4 (million)
% 0.23/0.42 % (15785)------------------------------
% 0.23/0.42 % (15785)------------------------------
% 0.23/0.42 % (15788)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.42 % (15788)Instruction limit reached!
% 0.23/0.42 % (15788)------------------------------
% 0.23/0.42 % (15788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (15788)Termination reason: Unknown
% 0.23/0.42 % (15788)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (15788)Memory used [KB]: 1407
% 0.23/0.42 % (15788)Time elapsed: 0.003 s
% 0.23/0.42 % (15788)Instructions burned: 3 (million)
% 0.23/0.42 % (15788)------------------------------
% 0.23/0.42 % (15788)------------------------------
% 0.23/0.42 % (15782)Instruction limit reached!
% 0.23/0.42 % (15782)------------------------------
% 0.23/0.42 % (15782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (15782)Termination reason: Unknown
% 0.23/0.42 % (15782)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (15782)Memory used [KB]: 1407
% 0.23/0.42 % (15782)Time elapsed: 0.004 s
% 0.23/0.42 % (15782)Instructions burned: 4 (million)
% 0.23/0.42 % (15782)------------------------------
% 0.23/0.42 % (15782)------------------------------
% 0.23/0.42 % (15784)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.43 % (15784)Instruction limit reached!
% 0.23/0.43 % (15784)------------------------------
% 0.23/0.43 % (15784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (15784)Termination reason: Unknown
% 0.23/0.43 % (15784)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (15784)Memory used [KB]: 1407
% 0.23/0.43 % (15784)Time elapsed: 0.003 s
% 0.23/0.43 % (15784)Instructions burned: 4 (million)
% 0.23/0.43 % (15784)------------------------------
% 0.23/0.43 % (15784)------------------------------
% 0.23/0.43 % (15787)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.43 % (15783)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.23/0.43 % (15791)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.43 % (15791)Instruction limit reached!
% 0.23/0.43 % (15791)------------------------------
% 0.23/0.43 % (15791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (15791)Termination reason: Unknown
% 0.23/0.43 % (15791)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (15791)Memory used [KB]: 1407
% 0.23/0.43 % (15791)Time elapsed: 0.003 s
% 0.23/0.43 % (15791)Instructions burned: 5 (million)
% 0.23/0.43 % (15791)------------------------------
% 0.23/0.43 % (15791)------------------------------
% 0.23/0.43 % (15789)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.23/0.43 % (15793)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.23/0.44 % (15787)Instruction limit reached!
% 0.23/0.44 % (15787)------------------------------
% 0.23/0.44 % (15787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (15787)Termination reason: Unknown
% 0.23/0.44 % (15787)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (15787)Memory used [KB]: 1791
% 0.23/0.44 % (15787)Time elapsed: 0.014 s
% 0.23/0.44 % (15787)Instructions burned: 19 (million)
% 0.23/0.44 % (15787)------------------------------
% 0.23/0.44 % (15787)------------------------------
% 0.23/0.44 % (15794)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.44 % (15783)Instruction limit reached!
% 0.23/0.44 % (15783)------------------------------
% 0.23/0.44 % (15783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (15783)Termination reason: Unknown
% 0.23/0.44 % (15783)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (15783)Memory used [KB]: 1918
% 0.23/0.44 % (15783)Time elapsed: 0.014 s
% 0.23/0.44 % (15783)Instructions burned: 28 (million)
% 0.23/0.44 % (15783)------------------------------
% 0.23/0.44 % (15783)------------------------------
% 0.23/0.44 % (15794)Instruction limit reached!
% 0.23/0.44 % (15794)------------------------------
% 0.23/0.44 % (15794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (15794)Termination reason: Unknown
% 0.23/0.44 % (15794)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (15794)Memory used [KB]: 1535
% 0.23/0.44 % (15794)Time elapsed: 0.004 s
% 0.23/0.44 % (15794)Instructions burned: 8 (million)
% 0.23/0.44 % (15794)------------------------------
% 0.23/0.44 % (15794)------------------------------
% 0.23/0.45 % (15796)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.45 % (15789)Instruction limit reached!
% 0.23/0.45 % (15789)------------------------------
% 0.23/0.45 % (15789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (15789)Termination reason: Unknown
% 0.23/0.45 % (15789)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (15789)Memory used [KB]: 2174
% 0.23/0.45 % (15789)Time elapsed: 0.018 s
% 0.23/0.45 % (15789)Instructions burned: 38 (million)
% 0.23/0.45 % (15789)------------------------------
% 0.23/0.45 % (15789)------------------------------
% 0.23/0.45 % (15790)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.23/0.45 % (15796)Instruction limit reached!
% 0.23/0.45 % (15796)------------------------------
% 0.23/0.45 % (15796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (15796)Termination reason: Unknown
% 0.23/0.45 % (15796)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (15796)Memory used [KB]: 1407
% 0.23/0.45 % (15796)Time elapsed: 0.003 s
% 0.23/0.45 % (15796)Instructions burned: 5 (million)
% 0.23/0.45 % (15796)------------------------------
% 0.23/0.45 % (15796)------------------------------
% 0.23/0.45 % (15795)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.45 % (15797)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.46 % (15797)Instruction limit reached!
% 0.23/0.46 % (15797)------------------------------
% 0.23/0.46 % (15797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (15797)Termination reason: Unknown
% 0.23/0.46 % (15797)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (15797)Memory used [KB]: 1407
% 0.23/0.46 % (15797)Time elapsed: 0.003 s
% 0.23/0.46 % (15797)Instructions burned: 3 (million)
% 0.23/0.46 % (15797)------------------------------
% 0.23/0.46 % (15797)------------------------------
% 0.23/0.46 % (15799)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.46 % (15790)Instruction limit reached!
% 0.23/0.46 % (15790)------------------------------
% 0.23/0.46 % (15790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (15790)Termination reason: Unknown
% 0.23/0.46 % (15790)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (15790)Memory used [KB]: 1663
% 0.23/0.46 % (15790)Time elapsed: 0.012 s
% 0.23/0.46 % (15790)Instructions burned: 15 (million)
% 0.23/0.46 % (15790)------------------------------
% 0.23/0.46 % (15790)------------------------------
% 0.23/0.46 % (15799)Instruction limit reached!
% 0.23/0.46 % (15799)------------------------------
% 0.23/0.46 % (15799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (15799)Termination reason: Unknown
% 0.23/0.46 % (15799)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (15799)Memory used [KB]: 1407
% 0.23/0.46 % (15799)Time elapsed: 0.003 s
% 0.23/0.46 % (15799)Instructions burned: 5 (million)
% 0.23/0.46 % (15799)------------------------------
% 0.23/0.46 % (15799)------------------------------
% 0.23/0.46 % (15795)Instruction limit reached!
% 0.23/0.46 % (15795)------------------------------
% 0.23/0.46 % (15795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (15795)Termination reason: Unknown
% 0.23/0.46 % (15795)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (15795)Memory used [KB]: 1791
% 0.23/0.46 % (15795)Time elapsed: 0.011 s
% 0.23/0.46 % (15795)Instructions burned: 17 (million)
% 0.23/0.46 % (15795)------------------------------
% 0.23/0.46 % (15795)------------------------------
% 0.23/0.47 % (15798)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.47 % (15802)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.47 % (15798)Instruction limit reached!
% 0.23/0.47 % (15798)------------------------------
% 0.23/0.47 % (15798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (15798)Termination reason: Unknown
% 0.23/0.47 % (15798)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (15798)Memory used [KB]: 1535
% 0.23/0.47 % (15798)Time elapsed: 0.005 s
% 0.23/0.47 % (15798)Instructions burned: 7 (million)
% 0.23/0.47 % (15798)------------------------------
% 0.23/0.47 % (15798)------------------------------
% 0.23/0.47 % (15800)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.47 % (15800)Instruction limit reached!
% 0.23/0.47 % (15800)------------------------------
% 0.23/0.47 % (15800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (15800)Termination reason: Unknown
% 0.23/0.47 % (15800)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (15800)Memory used [KB]: 1407
% 0.23/0.47 % (15800)Time elapsed: 0.003 s
% 0.23/0.47 % (15800)Instructions burned: 4 (million)
% 0.23/0.47 % (15800)------------------------------
% 0.23/0.47 % (15800)------------------------------
% 0.23/0.48 % (15801)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.48 % (15803)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.48 % (15804)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.23/0.48 % (15803)Instruction limit reached!
% 0.23/0.48 % (15803)------------------------------
% 0.23/0.48 % (15803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (15803)Termination reason: Unknown
% 0.23/0.48 % (15803)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (15803)Memory used [KB]: 1535
% 0.23/0.48 % (15803)Time elapsed: 0.006 s
% 0.23/0.48 % (15803)Instructions burned: 7 (million)
% 0.23/0.48 % (15803)------------------------------
% 0.23/0.48 % (15803)------------------------------
% 0.23/0.49 % (15801)Instruction limit reached!
% 0.23/0.49 % (15801)------------------------------
% 0.23/0.49 % (15801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (15801)Termination reason: Unknown
% 0.23/0.49 % (15801)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (15801)Memory used [KB]: 1791
% 0.23/0.49 % (15801)Time elapsed: 0.012 s
% 0.23/0.49 % (15801)Instructions burned: 18 (million)
% 0.23/0.49 % (15801)------------------------------
% 0.23/0.49 % (15801)------------------------------
% 0.23/0.49 % (15805)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.23/0.49 % (15805)Instruction limit reached!
% 0.23/0.49 % (15805)------------------------------
% 0.23/0.49 % (15805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (15805)Termination reason: Unknown
% 0.23/0.49 % (15805)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (15805)Memory used [KB]: 1791
% 0.23/0.49 % (15805)Time elapsed: 0.007 s
% 0.23/0.49 % (15805)Instructions burned: 22 (million)
% 0.23/0.49 % (15805)------------------------------
% 0.23/0.49 % (15805)------------------------------
% 0.23/0.50 % (15806)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.50 % (15806)Instruction limit reached!
% 0.23/0.50 % (15806)------------------------------
% 0.23/0.50 % (15806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (15806)Termination reason: Unknown
% 0.23/0.50 % (15806)Termination phase: shuffling
% 0.23/0.50
% 0.23/0.50 % (15806)Memory used [KB]: 1407
% 0.23/0.50 % (15806)Time elapsed: 0.005 s
% 0.23/0.50 % (15806)Instructions burned: 5 (million)
% 0.23/0.50 % (15806)------------------------------
% 0.23/0.50 % (15806)------------------------------
% 0.23/0.50 % (15808)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.23/0.50 % (15807)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.50 % (15781)Instruction limit reached!
% 0.23/0.50 % (15781)------------------------------
% 0.23/0.50 % (15781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (15781)Termination reason: Unknown
% 0.23/0.50 % (15781)Termination phase: Saturation
% 0.23/0.50
% 0.23/0.50 % (15781)Memory used [KB]: 7547
% 0.23/0.50 % (15781)Time elapsed: 0.083 s
% 0.23/0.50 % (15781)Instructions burned: 183 (million)
% 0.23/0.50 % (15781)------------------------------
% 0.23/0.50 % (15781)------------------------------
% 0.23/0.51 % (15807)Instruction limit reached!
% 0.23/0.51 % (15807)------------------------------
% 0.23/0.51 % (15807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (15807)Termination reason: Unknown
% 0.23/0.51 % (15807)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (15807)Memory used [KB]: 1535
% 0.23/0.51 % (15807)Time elapsed: 0.007 s
% 0.23/0.51 % (15807)Instructions burned: 6 (million)
% 0.23/0.51 % (15807)------------------------------
% 0.23/0.51 % (15807)------------------------------
% 0.23/0.51 % (15810)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.23/0.52 % (15810)Instruction limit reached!
% 0.23/0.52 % (15810)------------------------------
% 0.23/0.52 % (15810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (15810)Termination reason: Unknown
% 0.23/0.52 % (15810)Termination phase: shuffling
% 0.23/0.52
% 0.23/0.52 % (15810)Memory used [KB]: 1791
% 0.23/0.52 % (15810)Time elapsed: 0.007 s
% 0.23/0.52 % (15810)Instructions burned: 20 (million)
% 0.23/0.52 % (15810)------------------------------
% 0.23/0.52 % (15810)------------------------------
% 0.23/0.52 % (15809)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.23/0.52 % (15812)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.23/0.52 % (15811)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.23/0.53 % (15812)Instruction limit reached!
% 0.23/0.53 % (15812)------------------------------
% 0.23/0.53 % (15812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.53 % (15812)Termination reason: Unknown
% 0.23/0.53 % (15812)Termination phase: shuffling
% 0.23/0.53
% 0.23/0.53 % (15812)Memory used [KB]: 1791
% 0.23/0.53 % (15812)Time elapsed: 0.007 s
% 0.23/0.53 % (15812)Instructions burned: 19 (million)
% 0.23/0.53 % (15812)------------------------------
% 0.23/0.53 % (15812)------------------------------
% 1.10/0.54 % (15813)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.10/0.54 % (15813)Instruction limit reached!
% 1.10/0.54 % (15813)------------------------------
% 1.10/0.54 % (15813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.10/0.54 % (15813)Termination reason: Unknown
% 1.10/0.54 % (15813)Termination phase: shuffling
% 1.10/0.54
% 1.10/0.54 % (15813)Memory used [KB]: 1407
% 1.10/0.54 % (15813)Time elapsed: 0.002 s
% 1.10/0.54 % (15813)Instructions burned: 3 (million)
% 1.10/0.54 % (15813)------------------------------
% 1.10/0.54 % (15813)------------------------------
% 1.10/0.55 % (15814)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.22/0.56 % (15814)Instruction limit reached!
% 1.22/0.56 % (15814)------------------------------
% 1.22/0.56 % (15814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.56 % (15814)Termination reason: Unknown
% 1.22/0.56 % (15814)Termination phase: shuffling
% 1.22/0.56
% 1.22/0.56 % (15814)Memory used [KB]: 2046
% 1.22/0.56 % (15814)Time elapsed: 0.010 s
% 1.22/0.56 % (15814)Instructions burned: 31 (million)
% 1.22/0.56 % (15814)------------------------------
% 1.22/0.56 % (15814)------------------------------
% 1.22/0.56 % (15815)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.22/0.57 % (15786)Instruction limit reached!
% 1.22/0.57 % (15786)------------------------------
% 1.22/0.57 % (15786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.57 % (15786)Termination reason: Unknown
% 1.22/0.57 % (15786)Termination phase: Saturation
% 1.22/0.57
% 1.22/0.57 % (15786)Memory used [KB]: 9466
% 1.22/0.57 % (15786)Time elapsed: 0.126 s
% 1.22/0.57 % (15786)Instructions burned: 276 (million)
% 1.22/0.57 % (15786)------------------------------
% 1.22/0.57 % (15786)------------------------------
% 1.22/0.58 % (15816)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.22/0.60 % (15815)Instruction limit reached!
% 1.22/0.60 % (15815)------------------------------
% 1.22/0.60 % (15815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.60 % (15815)Termination reason: Unknown
% 1.22/0.60 % (15815)Termination phase: Property scanning
% 1.22/0.60
% 1.22/0.60 % (15815)Memory used [KB]: 2558
% 1.22/0.60 % (15815)Time elapsed: 0.033 s
% 1.22/0.60 % (15815)Instructions burned: 129 (million)
% 1.22/0.60 % (15815)------------------------------
% 1.22/0.60 % (15815)------------------------------
% 1.22/0.60 % (15816)Instruction limit reached!
% 1.22/0.60 % (15816)------------------------------
% 1.22/0.60 % (15816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.60 % (15816)Termination reason: Unknown
% 1.22/0.60 % (15816)Termination phase: Property scanning
% 1.22/0.60
% 1.22/0.60 % (15816)Memory used [KB]: 2558
% 1.22/0.60 % (15816)Time elapsed: 0.030 s
% 1.22/0.60 % (15816)Instructions burned: 103 (million)
% 1.22/0.60 % (15816)------------------------------
% 1.22/0.60 % (15816)------------------------------
% 1.22/0.61 % (15817)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.22/0.61 % (15817)Instruction limit reached!
% 1.22/0.61 % (15817)------------------------------
% 1.22/0.61 % (15817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.61 % (15817)Termination reason: Unknown
% 1.22/0.61 % (15817)Termination phase: shuffling
% 1.22/0.61
% 1.22/0.61 % (15817)Memory used [KB]: 1407
% 1.22/0.61 % (15817)Time elapsed: 0.002 s
% 1.22/0.61 % (15817)Instructions burned: 3 (million)
% 1.22/0.61 % (15817)------------------------------
% 1.22/0.61 % (15817)------------------------------
% 1.22/0.61 % (15818)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)
% 1.22/0.61 % (15819)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.22/0.62 % (15818)Instruction limit reached!
% 1.22/0.62 % (15818)------------------------------
% 1.22/0.62 % (15818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.62 % (15818)Termination reason: Unknown
% 1.22/0.62 % (15818)Termination phase: shuffling
% 1.22/0.62
% 1.22/0.62 % (15818)Memory used [KB]: 1791
% 1.22/0.62 % (15818)Time elapsed: 0.009 s
% 1.22/0.62 % (15818)Instructions burned: 21 (million)
% 1.22/0.62 % (15818)------------------------------
% 1.22/0.62 % (15818)------------------------------
% 1.22/0.63 % (15820)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.22/0.63 % (15808)Instruction limit reached!
% 1.22/0.63 % (15808)------------------------------
% 1.22/0.63 % (15808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.63 % (15808)Termination reason: Unknown
% 1.22/0.63 % (15808)Termination phase: Saturation
% 1.22/0.63
% 1.22/0.63 % (15808)Memory used [KB]: 9338
% 1.22/0.63 % (15808)Time elapsed: 0.133 s
% 1.22/0.63 % (15808)Instructions burned: 377 (million)
% 1.22/0.63 % (15808)------------------------------
% 1.22/0.63 % (15808)------------------------------
% 1.84/0.64 % (15819)Instruction limit reached!
% 1.84/0.64 % (15819)------------------------------
% 1.84/0.64 % (15819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.84/0.64 % (15819)Termination reason: Unknown
% 1.84/0.64 % (15819)Termination phase: Property scanning
% 1.84/0.64
% 1.84/0.64 % (15819)Memory used [KB]: 2430
% 1.84/0.64 % (15819)Time elapsed: 0.024 s
% 1.84/0.64 % (15819)Instructions burned: 88 (million)
% 1.84/0.64 % (15819)------------------------------
% 1.84/0.64 % (15819)------------------------------
% 1.84/0.64 % (15822)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 1.84/0.65 % (15821)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.84/0.66 % (15820)Instruction limit reached!
% 1.84/0.66 % (15820)------------------------------
% 1.84/0.66 % (15820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.84/0.66 % (15820)Termination reason: Unknown
% 1.84/0.66 % (15820)Termination phase: Function definition elimination
% 1.84/0.66
% 1.84/0.66 % (15820)Memory used [KB]: 2430
% 1.84/0.66 % (15820)Time elapsed: 0.031 s
% 1.84/0.66 % (15820)Instructions burned: 107 (million)
% 1.84/0.66 % (15820)------------------------------
% 1.84/0.66 % (15820)------------------------------
% 1.84/0.67 % (15821)Instruction limit reached!
% 1.84/0.67 % (15821)------------------------------
% 1.84/0.67 % (15821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.84/0.67 % (15821)Termination reason: Unknown
% 1.84/0.67 % (15821)Termination phase: shuffling
% 1.84/0.67
% 1.84/0.67 % (15821)Memory used [KB]: 2174
% 1.84/0.67 % (15821)Time elapsed: 0.019 s
% 1.84/0.67 % (15821)Instructions burned: 39 (million)
% 1.84/0.67 % (15821)------------------------------
% 1.84/0.67 % (15821)------------------------------
% 1.84/0.67 % (15823)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 2.17/0.68 % (15824)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 2.17/0.68 % (15823)Instruction limit reached!
% 2.17/0.68 % (15823)------------------------------
% 2.17/0.68 % (15823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.68 % (15823)Termination reason: Unknown
% 2.17/0.68 % (15823)Termination phase: Property scanning
% 2.17/0.68
% 2.17/0.68 % (15823)Memory used [KB]: 2302
% 2.17/0.68 % (15823)Time elapsed: 0.015 s
% 2.17/0.68 % (15823)Instructions burned: 46 (million)
% 2.17/0.68 % (15823)------------------------------
% 2.17/0.68 % (15823)------------------------------
% 2.17/0.69 % (15804)First to succeed.
% 2.17/0.69 % (15825)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 2.17/0.69 % (15804)Refutation found. Thanks to Tanya!
% 2.17/0.69 % SZS status Theorem for theBenchmark
% 2.17/0.69 % SZS output start Proof for theBenchmark
% 2.17/0.69 thf(func_def_0, type, in: $i > $i > $o).
% 2.17/0.69 thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.17/0.69 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.17/0.69 thf(func_def_8, type, powerset: $i > $i).
% 2.17/0.69 thf(func_def_10, type, setunion: $i > $i).
% 2.17/0.69 thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.17/0.69 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_26, type, prop2set: $o > $i).
% 2.17/0.69 thf(func_def_36, type, nonempty: $i > $o).
% 2.17/0.69 thf(func_def_69, type, set2prop: $i > $o).
% 2.17/0.69 thf(func_def_88, type, subset: $i > $i > $o).
% 2.17/0.69 thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.17/0.69 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.17/0.69 thf(func_def_114, type, binunion: $i > $i > $i).
% 2.17/0.69 thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.17/0.69 thf(func_def_135, type, regular: $i > $o).
% 2.17/0.69 thf(func_def_136, type, setminus: $i > $i > $i).
% 2.17/0.69 thf(func_def_147, type, symdiff: $i > $i > $i).
% 2.17/0.69 thf(func_def_153, type, iskpair: $i > $o).
% 2.17/0.69 thf(func_def_158, type, kpair: $i > $i > $i).
% 2.17/0.69 thf(func_def_160, type, cartprod: $i > $i > $i).
% 2.17/0.69 thf(func_def_177, type, singleton: $i > $o).
% 2.17/0.69 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 2.17/0.69 thf(func_def_184, type, atmost1p: $i > $o).
% 2.17/0.69 thf(func_def_185, type, atleast2p: $i > $o).
% 2.17/0.69 thf(func_def_186, type, atmost2p: $i > $o).
% 2.17/0.69 thf(func_def_187, type, upairsetp: $i > $o).
% 2.17/0.69 thf(func_def_191, type, kfst: $i > $i).
% 2.17/0.69 thf(func_def_203, type, ksnd: $i > $i).
% 2.17/0.69 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 2.17/0.69 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.17/0.69 thf(func_def_222, type, func: $i > $i > $i > $o).
% 2.17/0.69 thf(func_def_223, type, funcSet: $i > $i > $i).
% 2.17/0.69 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 2.17/0.69 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 2.17/0.69 thf(func_def_287, type, sP1: $i > $i > $i > $i > $o).
% 2.17/0.69 thf(func_def_291, type, sP5: $o > $i > $i > $i > $o).
% 2.17/0.69 thf(func_def_292, type, sP6: $i > $i > $o).
% 2.17/0.69 thf(func_def_293, type, sP7: $i > $o).
% 2.17/0.69 thf(func_def_294, type, sP8: $i > $i > $o).
% 2.17/0.69 thf(func_def_295, type, sP9: $i > $i > $o).
% 2.17/0.69 thf(func_def_296, type, sP10: $i > $i > $i > $o).
% 2.17/0.69 thf(func_def_301, type, sK15: $i > $i > $o).
% 2.17/0.69 thf(func_def_303, type, sK17: $i > $i > $i).
% 2.17/0.69 thf(func_def_313, type, sK27: $i > $o).
% 2.17/0.69 thf(func_def_316, type, sK30: $i > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_317, type, sK31: $i > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_327, type, sK41: $i > $o).
% 2.17/0.69 thf(func_def_330, type, sK44: $i > $o).
% 2.17/0.69 thf(func_def_333, type, sK47: $i > $o).
% 2.17/0.69 thf(func_def_336, type, sK50: $i > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_337, type, sK51: ($i > $o) > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_338, type, sK52: ($i > $o) > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_342, type, sK56: $i > $o).
% 2.17/0.69 thf(func_def_359, type, sK73: $i > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_360, type, sK74: $i > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_361, type, sK75: $i > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_362, type, sK76: $i > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_363, type, sK77: $i > $o).
% 2.17/0.69 thf(func_def_364, type, sK78: $i > $i).
% 2.17/0.69 thf(func_def_365, type, sK79: ($i > $o) > $i).
% 2.17/0.69 thf(func_def_389, type, sK103: $i > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_390, type, sK104: $i > $o).
% 2.17/0.69 thf(func_def_395, type, sK109: $i > $i > $o).
% 2.17/0.69 thf(func_def_397, type, sK111: $i > $i).
% 2.17/0.69 thf(func_def_398, type, sK112: $i > $i).
% 2.17/0.69 thf(func_def_399, type, sK113: $i > ($i > $i > $o) > $i).
% 2.17/0.69 thf(func_def_400, type, sK114: $i > ($i > $i > $o) > $i).
% 2.17/0.69 thf(func_def_401, type, sK115: $i > $i > ($i > $i > $o) > $i).
% 2.17/0.69 thf(func_def_411, type, sK125: $i > $i > $o).
% 2.17/0.69 thf(func_def_427, type, sK141: $i > $i > $o).
% 2.17/0.69 thf(func_def_442, type, sK156: $i > $o).
% 2.17/0.69 thf(func_def_444, type, sK158: ($i > $o) > $i > $i).
% 2.17/0.69 thf(func_def_445, type, sK159: ($i > $o) > $i > $i).
% 2.17/0.69 thf(func_def_452, type, sK166: $i > $i > $i).
% 2.17/0.69 thf(func_def_455, type, sK169: $i > $o).
% 2.17/0.69 thf(func_def_463, type, sK177: $i > $i).
% 2.17/0.69 thf(func_def_475, type, sK189: $o > $i > $i > $i).
% 2.17/0.69 thf(func_def_479, type, sK193: $i > $i > $o).
% 2.17/0.69 thf(func_def_483, type, sK197: $i > $i).
% 2.17/0.69 thf(func_def_496, type, sK210: $i > $i > $i).
% 2.17/0.69 thf(func_def_519, type, sK233: $i > $i > $i).
% 2.17/0.69 thf(func_def_522, type, sK236: $i > $i > $i).
% 2.17/0.69 thf(func_def_526, type, sK240: $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_530, type, sK244: $i > $i).
% 2.17/0.69 thf(func_def_533, type, sK247: $i > $i > ($i > $i) > $i).
% 2.17/0.69 thf(func_def_535, type, sK249: $i > $i > $o).
% 2.17/0.69 thf(func_def_539, type, sK253: $i > $i).
% 2.17/0.69 thf(func_def_556, type, sK270: ($i > $o) > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_557, type, sK271: ($i > $o) > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_558, type, sK272: $i > $o).
% 2.17/0.69 thf(func_def_559, type, sK273: $i > $o).
% 2.17/0.69 thf(func_def_560, type, sK274: $i > $i).
% 2.17/0.69 thf(func_def_563, type, sK277: $i > $i > ($i > $i) > $i).
% 2.17/0.69 thf(func_def_569, type, sK283: ($i > $i) > $i > $i > $i).
% 2.17/0.69 thf(func_def_572, type, sK286: $i > $i).
% 2.17/0.69 thf(func_def_575, type, sK289: $i > $o).
% 2.17/0.69 thf(func_def_577, type, sK291: ($i > $o) > $i > $i).
% 2.17/0.69 thf(func_def_582, type, sK296: $i > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_583, type, sK297: $i > $o).
% 2.17/0.69 thf(func_def_596, type, sK310: ($i > $o) > $i > $i).
% 2.17/0.69 thf(func_def_598, type, sK312: $i > $o).
% 2.17/0.69 thf(func_def_621, type, sK335: $i > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_622, type, sK336: $i > $o).
% 2.17/0.69 thf(func_def_634, type, sK348: $i > $i).
% 2.17/0.69 thf(func_def_637, type, sK351: $i > $o).
% 2.17/0.69 thf(func_def_643, type, sK357: $i > $i > $o).
% 2.17/0.69 thf(func_def_670, type, sK384: $i > $o).
% 2.17/0.69 thf(func_def_672, type, sK386: ($i > $o) > $i > $i).
% 2.17/0.69 thf(func_def_673, type, sK387: $i > $o).
% 2.17/0.69 thf(func_def_688, type, sK402: $i > $o).
% 2.17/0.69 thf(func_def_693, type, sK407: $i > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_694, type, sK408: $i > $o).
% 2.17/0.69 thf(func_def_707, type, sK421: $i > $i > $i).
% 2.17/0.69 thf(func_def_712, type, sK426: $i > $i).
% 2.17/0.69 thf(func_def_717, type, sK431: $i > $i > $i).
% 2.17/0.69 thf(func_def_718, type, sK432: $i > $i > $i).
% 2.17/0.69 thf(func_def_719, type, sK433: $i > $i > $i).
% 2.17/0.69 thf(func_def_720, type, sK434: $i > $i > $i).
% 2.17/0.69 thf(func_def_721, type, sK435: $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_722, type, sK436: $i > $i).
% 2.17/0.69 thf(func_def_723, type, sK437: $i > $i).
% 2.17/0.69 thf(func_def_724, type, sK438: $i > $i).
% 2.17/0.69 thf(func_def_725, type, sK439: $i > $i).
% 2.17/0.69 thf(func_def_726, type, sK440: $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_727, type, sK441: $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_728, type, sK442: $i > $i > $i).
% 2.17/0.69 thf(func_def_729, type, sK443: $i > $i > $i).
% 2.17/0.69 thf(func_def_730, type, sK444: $i > $i > $i).
% 2.17/0.69 thf(func_def_732, type, sK446: $i > $i).
% 2.17/0.69 thf(func_def_733, type, sK447: $i > $i).
% 2.17/0.69 thf(func_def_734, type, sK448: $i > $i).
% 2.17/0.69 thf(func_def_735, type, sK449: $i > $i > $i).
% 2.17/0.69 thf(func_def_741, type, sK455: ($i > $o) > $i).
% 2.17/0.69 thf(func_def_742, type, sK456: $i > $o).
% 2.17/0.69 thf(func_def_743, type, sK457: $i > $i).
% 2.17/0.69 thf(func_def_744, type, sK458: $i > $i > $i).
% 2.17/0.69 thf(func_def_745, type, sK459: $i > $i > $i).
% 2.17/0.69 thf(func_def_756, type, sK470: $i > $o).
% 2.17/0.69 thf(func_def_764, type, sK478: $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_765, type, sK479: $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_769, type, sK483: $i > $i > ($i > $i) > $i).
% 2.17/0.69 thf(func_def_770, type, sK484: $i > $i).
% 2.17/0.69 thf(func_def_782, type, sK496: ($i > $o) > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_783, type, sK497: ($i > $o) > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_787, type, sK501: $i > $o).
% 2.17/0.69 thf(func_def_789, type, sK503: $i > $o).
% 2.17/0.69 thf(func_def_791, type, sK505: $i > $o).
% 2.17/0.69 thf(func_def_797, type, sK511: $i > $o).
% 2.17/0.69 thf(func_def_806, type, sK520: $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_807, type, sK521: $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_811, type, sK525: $i > $i).
% 2.17/0.69 thf(func_def_814, type, sK528: $i > $i).
% 2.17/0.69 thf(func_def_815, type, sK529: ($i > $i) > $i > $i > $i).
% 2.17/0.69 thf(func_def_818, type, sK532: $i > $i).
% 2.17/0.69 thf(func_def_833, type, sK547: $i > $o).
% 2.17/0.69 thf(func_def_836, type, sK550: $i > $i > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_846, type, sK560: $i > $i > $i).
% 2.17/0.69 thf(func_def_851, type, sK565: $i > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_879, type, sK593: $i > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_885, type, sK599: $i > $o).
% 2.17/0.69 thf(func_def_901, type, sK615: $i > $o).
% 2.17/0.69 thf(func_def_903, type, sK617: ($i > $o) > $i).
% 2.17/0.69 thf(func_def_904, type, sK618: ($i > $o) > $i).
% 2.17/0.69 thf(func_def_916, type, sK630: $i > $o).
% 2.17/0.69 thf(func_def_917, type, sK631: ($i > $o) > $i).
% 2.17/0.69 thf(func_def_930, type, sK644: $i > $o).
% 2.17/0.69 thf(func_def_932, type, sK646: ($i > $o) > $i > $i).
% 2.17/0.69 thf(func_def_934, type, sK648: $i > $o).
% 2.17/0.69 thf(func_def_936, type, sK650: ($i > $o) > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_937, type, sK651: ($i > $o) > ($i > $o) > $i).
% 2.17/0.69 thf(func_def_938, type, sK652: $i > $o).
% 2.17/0.69 thf(func_def_939, type, sK653: $i > $o).
% 2.17/0.69 thf(func_def_957, type, sK671: $i > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_962, type, sK676: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.17/0.69 thf(func_def_963, type, sK677: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.17/0.69 thf(func_def_966, type, sK680: $i > $o).
% 2.17/0.69 thf(func_def_967, type, sK681: $i > $o).
% 2.17/0.69 thf(func_def_972, type, sK686: $i > $i > $o).
% 2.17/0.69 thf(func_def_980, type, sK694: $i > $o).
% 2.17/0.69 thf(func_def_985, type, sK699: $i > $i > $i).
% 2.17/0.69 thf(func_def_1001, type, sK715: $i > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_1002, type, sK716: $i > $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_1006, type, sK720: $i > $i > $i > $i).
% 2.17/0.69 thf(func_def_1017, type, sK731: $i > $i).
% 2.17/0.69 thf(func_def_1019, type, sK733: $i > ($i > $i) > $i > $i).
% 2.17/0.69 thf(func_def_1028, type, ph742: !>[X0: $tType]:(X0)).
% 2.17/0.69 thf(f6007,plain,(
% 2.17/0.69 $false),
% 2.17/0.69 inference(trivial_inequality_removal,[],[f5995])).
% 2.17/0.69 thf(f5995,plain,(
% 2.17/0.69 ($true != $true)),
% 2.17/0.69 inference(superposition,[],[f3726,f2961])).
% 2.17/0.69 thf(f2961,plain,(
% 2.17/0.69 ($true = (in @ sK606 @ sK603))),
% 2.17/0.69 inference(cnf_transformation,[],[f1942])).
% 2.17/0.69 thf(f1942,plain,(
% 2.17/0.69 (binintersectI = $true) & (binintersectSubset3 = $true) & (symdiffE = $true) & (dpsetconstrERa = $true) & (symdiffIneg1 = $true) & (upairsetIL = $true) & (binunionE = $true) & (upairsetE = $true) & (subset2powerset = $true) & (setminusT_lem = $true) & (subsetE = $true) & (beta1 = $true) & (singletonsswitch = $true) & (cartprodsndin = $true) & (setextT = $true) & (binintersectSubset1 = $true) & (eqimpsubset1 = $true) & (setukpairinjL1 = $true) & (setukpairinjR2 = $true) & (funcext = $true) & (kpairsurjEq = $true) & (apProp = $true) & (dpsetconstrEL2 = $true) & (binunionEcases = $true) & (exuI1 = $true) & (setunionsingleton2 = $true) & (kfstpairEq = $true) & (app = $true) & (subsetTI = $true) & (eqinunit = $true) & (omegaIndAx = $true) & (foundationAx = $true) & (funcImageSingleton = $true) & (complementT_lem = $true) & (nonemptyI1 = $true) & (emptysetimpfalse = $true) & (vacuousDall = $true) & (binunionLsub = $true) & (setminusI = $true) & (binintersectER = $true) & (nonemptyImpWitness = $true) & (ex1I2 = $true) & (emptyE1 = $true) & (setextsub = $true) & (sepSubset = $true) & (kpairp = $true) & (inPowerset = $true) & (setunionsingleton = $true) & (setukpairinjR12 = $true) & (ap2p = $true) & (binunionT_lem = $true) & (setunionsingleton1 = $true) & (dpsetconstrER = $true) & (emptyset__Cong = $true) & (upairset2E = $true) & (exuE3u = $true) & (omega__Cong = $true) & (cartprodpairsurjEq = $true) & (symdiffI2 = $true) & (setext = $true) & (notinemptyset = $true) & (funcGraphProp2 = $true) & (lam2p = $true) & (funcinfuncset = $true) & (iffalseProp2 = $true) & (setadjoinOr = $true) & (cartprodmempair = $true) & (lam2lamEq = $true) & (iffalse = $true) & (emptysetsubset = $true) & (ex1E1 = $true) & (setadjoinE = $true) & (emptysetAx = $true) & (bs114d = $true) & (wellorderingAx = $true) & (singletonsuniq = $true) & (iftrueorfalse = $true) & (cartprodpairmemER = $true) & (eqbreln = $true) & (subsetRefl = $true) & (cartprodpairin = $true) & (replAx = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem2 = $true) & (lamProp = $true) & (singletonsubset = $true) & (setOfPairsIsBReln = $true) & (binintersectEL = $true) & (setunionI = $true) & (dpsetconstrSub = $true) & (kfstsingleton = $true) & (setadjoinIL = $true) & (dpsetconstrI = $true) & (setadjoin__Cong = $true) & (powerset__Cong = $true) & (exuE2 = $true) & (notdallE = $true) & (notequalI2 = $true) & (ap2apEq2 = $true) & (binunionIR = $true) & (iftrue = $true) & (subsetemptysetimpeq = $true) & (setadjoinIR = $true) & (powersetE = $true) & (omegaSAx = $true) & (infuncsetfunc = $true) & (emptysetE = $true) & (powersetTI1 = $true) & (nonemptyE1 = $true) & (brelnall2 = $true) & (setoftrueEq = $true) & (upairsubunion = $true) & (subsetTrans = $true) & (ksndsingleton = $true) & (funcext2 = $true) & (setminusLsub = $true) & (setukpairinjR11 = $true) & (secondinupair = $true) & (ksndpairEq = $true) & (funcGraphProp3 = $true) & (quantDeMorgan2 = $true) & (cartprodfstin = $true) & (quantDeMorgan1 = $true) & (singletoninpowunion = $true) & (setminusSubset2 = $true) & (setminusSubset1 = $true) & (powersetAx = $true) & (binunionRsub = $true) & (dsetconstrI = $true) & (setukpairIL = $true) & (setextAx = $true) & (setunionE2 = $true) & (ifp = $true) & (emptyInPowerset = $true) & (ubforcartprodlem3 = $true) & (setukpairinjR = $true) & (setbeta = $true) & (funcextLem = $true) & (ap2apEq1 = $true) & (upairinpowunion = $true) & (exuE3e = $true) & (binintersectSubset5 = $true) & (emptyinPowerset = $true) & (binintersectT_lem = $true) & (notequalI1 = $true) & (setminusELneg = $true) & (dsetconstrER = $true) & (sepInPowerset = $true) & (exuEu = $true) & (exuE1 = $true) & (subsetI1 = $true) & (setminusEL = $true) & (singletoninpowerset = $true) & (theprop = $true) & (eta2 = $true) & (dsetconstr__Cong = $true) & (beta2 = $true) & (funcGraphProp1 = $true) & (iftrueProp2 = $true) & (eqimpsubset2 = $true) & (ifSingleton = $true) & (setunionE = $true) & (upairsetIR = $true) & (iftrueProp1 = $true) & (binintersectSubset2 = $true) & (ex1I = $true) & (notinsingleton = $true) & (funcGraphProp4 = $true) & (noeltsimpempty = $true) & (lamp = $true) & (subsetI2 = $true) & (cartprodmempaircEq = $true) & (binintersectLsub = $true) & (setunion__Cong = $true) & (quantDeMorgan4 = $true) & (ubforcartprodlem1 = $true) & (symdiffIneg2 = $true) & (setukpairinjR1 = $true) & (setadjoinSub2 = $true) & (cartprodfstpairEq = $true) & (singletonprop = $true) & (subbreln = $true) & (nonemptyI = $true) & (in__Cong = $true) & (brelnall1 = $true) & (prop2setI = $true) & (emptyinunitempty = $true) & (exu__Cong = $true) & (setminusIRneg = $true) & (upairset2IR = $true) & (exuI2 = $true) & (binintersectRsub = $true) & (prop2setE = $true) & (setunionAx = $true) & (iffalseProp1 = $true) & (quantDeMorgan3 = $true) & (prop2set2propI = $true) & (setminusER = $true) & (powersetI1 = $true) & (uniqinunit = $true) & (setminusILneg = $true) & (binunionIL = $true) & (theeq = $true) & (powersetsubset = $true) & (descrp = $true) & (powersetT_lem = $true) & (exuI3 = $true) & (setukpairinjL = $true) & (inCongP = $true) & (disjointsetsI1 = $true) & (subsetE2 = $true) & (cartprodsndpairEq = $true) & (powersetI = $true) & (eta1 = $true) & (setminusERneg = $true) & (dsetconstrEL = $true) & (binintersectSubset4 = $true) & (omega0Ax = $true) & (cartprodmempair1 = $true) & (descr__Cong = $true) & (emptyI = $true) & (powersetE1 = $true) & (notdexE = $true) & (($true = (in @ sK603 @ (powerset @ sK604))) & ((((in @ sK603 @ (powerset @ sK605)) = $true) & ($true != (in @ sK606 @ sK605)) & ((in @ sK606 @ sK604) = $true) & ($true = (in @ sK606 @ sK603))) & ($true = (in @ sK605 @ (powerset @ sK604))))) & (ex1E2 = $true) & (setadjoinAx = $true) & (subPowSU = $true) & (dpsetconstrEL1 = $true) & (notsubsetI = $true) & (upairequniteq = $true) & (symdiffI1 = $true) & (setadjoinSub = $true) & (kpairiskpair = $true) & (cartprodpairmemEL = $true) & (setukpairIR = $true)),
% 2.17/0.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK603,sK604,sK605,sK606])],[f766,f1941,f1940,f1939])).
% 2.17/0.69 thf(f1939,plain,(
% 2.17/0.69 ? [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) & ? [X2] : (? [X3] : (($true = (in @ X0 @ (powerset @ X2))) & ($true != (in @ X3 @ X2)) & ($true = (in @ X3 @ X1)) & ((in @ X3 @ X0) = $true)) & ($true = (in @ X2 @ (powerset @ X1))))) => (($true = (in @ sK603 @ (powerset @ sK604))) & ? [X2] : (? [X3] : (($true = (in @ sK603 @ (powerset @ X2))) & ($true != (in @ X3 @ X2)) & ((in @ X3 @ sK604) = $true) & ($true = (in @ X3 @ sK603))) & ($true = (in @ X2 @ (powerset @ sK604)))))),
% 2.17/0.69 introduced(choice_axiom,[])).
% 2.17/0.69 thf(f1940,plain,(
% 2.17/0.69 ? [X2] : (? [X3] : (($true = (in @ sK603 @ (powerset @ X2))) & ($true != (in @ X3 @ X2)) & ((in @ X3 @ sK604) = $true) & ($true = (in @ X3 @ sK603))) & ($true = (in @ X2 @ (powerset @ sK604)))) => (? [X3] : (((in @ sK603 @ (powerset @ sK605)) = $true) & ($true != (in @ X3 @ sK605)) & ((in @ X3 @ sK604) = $true) & ($true = (in @ X3 @ sK603))) & ($true = (in @ sK605 @ (powerset @ sK604))))),
% 2.17/0.69 introduced(choice_axiom,[])).
% 2.17/0.69 thf(f1941,plain,(
% 2.17/0.69 ? [X3] : (((in @ sK603 @ (powerset @ sK605)) = $true) & ($true != (in @ X3 @ sK605)) & ((in @ X3 @ sK604) = $true) & ($true = (in @ X3 @ sK603))) => (((in @ sK603 @ (powerset @ sK605)) = $true) & ($true != (in @ sK606 @ sK605)) & ((in @ sK606 @ sK604) = $true) & ($true = (in @ sK606 @ sK603)))),
% 2.17/0.69 introduced(choice_axiom,[])).
% 2.17/0.69 thf(f766,plain,(
% 2.17/0.69 (binintersectI = $true) & (binintersectSubset3 = $true) & (symdiffE = $true) & (dpsetconstrERa = $true) & (symdiffIneg1 = $true) & (upairsetIL = $true) & (binunionE = $true) & (upairsetE = $true) & (subset2powerset = $true) & (setminusT_lem = $true) & (subsetE = $true) & (beta1 = $true) & (singletonsswitch = $true) & (cartprodsndin = $true) & (setextT = $true) & (binintersectSubset1 = $true) & (eqimpsubset1 = $true) & (setukpairinjL1 = $true) & (setukpairinjR2 = $true) & (funcext = $true) & (kpairsurjEq = $true) & (apProp = $true) & (dpsetconstrEL2 = $true) & (binunionEcases = $true) & (exuI1 = $true) & (setunionsingleton2 = $true) & (kfstpairEq = $true) & (app = $true) & (subsetTI = $true) & (eqinunit = $true) & (omegaIndAx = $true) & (foundationAx = $true) & (funcImageSingleton = $true) & (complementT_lem = $true) & (nonemptyI1 = $true) & (emptysetimpfalse = $true) & (vacuousDall = $true) & (binunionLsub = $true) & (setminusI = $true) & (binintersectER = $true) & (nonemptyImpWitness = $true) & (ex1I2 = $true) & (emptyE1 = $true) & (setextsub = $true) & (sepSubset = $true) & (kpairp = $true) & (inPowerset = $true) & (setunionsingleton = $true) & (setukpairinjR12 = $true) & (ap2p = $true) & (binunionT_lem = $true) & (setunionsingleton1 = $true) & (dpsetconstrER = $true) & (emptyset__Cong = $true) & (upairset2E = $true) & (exuE3u = $true) & (omega__Cong = $true) & (cartprodpairsurjEq = $true) & (symdiffI2 = $true) & (setext = $true) & (notinemptyset = $true) & (funcGraphProp2 = $true) & (lam2p = $true) & (funcinfuncset = $true) & (iffalseProp2 = $true) & (setadjoinOr = $true) & (cartprodmempair = $true) & (lam2lamEq = $true) & (iffalse = $true) & (emptysetsubset = $true) & (ex1E1 = $true) & (setadjoinE = $true) & (emptysetAx = $true) & (bs114d = $true) & (wellorderingAx = $true) & (singletonsuniq = $true) & (iftrueorfalse = $true) & (cartprodpairmemER = $true) & (eqbreln = $true) & (subsetRefl = $true) & (cartprodpairin = $true) & (replAx = $true) & (setukpairinjL2 = $true) & (ubforcartprodlem2 = $true) & (lamProp = $true) & (singletonsubset = $true) & (setOfPairsIsBReln = $true) & (binintersectEL = $true) & (setunionI = $true) & (dpsetconstrSub = $true) & (kfstsingleton = $true) & (setadjoinIL = $true) & (dpsetconstrI = $true) & (setadjoin__Cong = $true) & (powerset__Cong = $true) & (exuE2 = $true) & (notdallE = $true) & (notequalI2 = $true) & (ap2apEq2 = $true) & (binunionIR = $true) & (iftrue = $true) & (subsetemptysetimpeq = $true) & (setadjoinIR = $true) & (powersetE = $true) & (omegaSAx = $true) & (infuncsetfunc = $true) & (emptysetE = $true) & (powersetTI1 = $true) & (nonemptyE1 = $true) & (brelnall2 = $true) & (setoftrueEq = $true) & (upairsubunion = $true) & (subsetTrans = $true) & (ksndsingleton = $true) & (funcext2 = $true) & (setminusLsub = $true) & (setukpairinjR11 = $true) & (secondinupair = $true) & (ksndpairEq = $true) & (funcGraphProp3 = $true) & (quantDeMorgan2 = $true) & (cartprodfstin = $true) & (quantDeMorgan1 = $true) & (singletoninpowunion = $true) & (setminusSubset2 = $true) & (setminusSubset1 = $true) & (powersetAx = $true) & (binunionRsub = $true) & (dsetconstrI = $true) & (setukpairIL = $true) & (setextAx = $true) & (setunionE2 = $true) & (ifp = $true) & (emptyInPowerset = $true) & (ubforcartprodlem3 = $true) & (setukpairinjR = $true) & (setbeta = $true) & (funcextLem = $true) & (ap2apEq1 = $true) & (upairinpowunion = $true) & (exuE3e = $true) & (binintersectSubset5 = $true) & (emptyinPowerset = $true) & (binintersectT_lem = $true) & (notequalI1 = $true) & (setminusELneg = $true) & (dsetconstrER = $true) & (sepInPowerset = $true) & (exuEu = $true) & (exuE1 = $true) & (subsetI1 = $true) & (setminusEL = $true) & (singletoninpowerset = $true) & (theprop = $true) & (eta2 = $true) & (dsetconstr__Cong = $true) & (beta2 = $true) & (funcGraphProp1 = $true) & (iftrueProp2 = $true) & (eqimpsubset2 = $true) & (ifSingleton = $true) & (setunionE = $true) & (upairsetIR = $true) & (iftrueProp1 = $true) & (binintersectSubset2 = $true) & (ex1I = $true) & (notinsingleton = $true) & (funcGraphProp4 = $true) & (noeltsimpempty = $true) & (lamp = $true) & (subsetI2 = $true) & (cartprodmempaircEq = $true) & (binintersectLsub = $true) & (setunion__Cong = $true) & (quantDeMorgan4 = $true) & (ubforcartprodlem1 = $true) & (symdiffIneg2 = $true) & (setukpairinjR1 = $true) & (setadjoinSub2 = $true) & (cartprodfstpairEq = $true) & (singletonprop = $true) & (subbreln = $true) & (nonemptyI = $true) & (in__Cong = $true) & (brelnall1 = $true) & (prop2setI = $true) & (emptyinunitempty = $true) & (exu__Cong = $true) & (setminusIRneg = $true) & (upairset2IR = $true) & (exuI2 = $true) & (binintersectRsub = $true) & (prop2setE = $true) & (setunionAx = $true) & (iffalseProp1 = $true) & (quantDeMorgan3 = $true) & (prop2set2propI = $true) & (setminusER = $true) & (powersetI1 = $true) & (uniqinunit = $true) & (setminusILneg = $true) & (binunionIL = $true) & (theeq = $true) & (powersetsubset = $true) & (descrp = $true) & (powersetT_lem = $true) & (exuI3 = $true) & (setukpairinjL = $true) & (inCongP = $true) & (disjointsetsI1 = $true) & (subsetE2 = $true) & (cartprodsndpairEq = $true) & (powersetI = $true) & (eta1 = $true) & (setminusERneg = $true) & (dsetconstrEL = $true) & (binintersectSubset4 = $true) & (omega0Ax = $true) & (cartprodmempair1 = $true) & (descr__Cong = $true) & (emptyI = $true) & (powersetE1 = $true) & (notdexE = $true) & ? [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) & ? [X2] : (? [X3] : (($true = (in @ X0 @ (powerset @ X2))) & ($true != (in @ X3 @ X2)) & ($true = (in @ X3 @ X1)) & ((in @ X3 @ X0) = $true)) & ($true = (in @ X2 @ (powerset @ X1))))) & (ex1E2 = $true) & (setadjoinAx = $true) & (subPowSU = $true) & (dpsetconstrEL1 = $true) & (notsubsetI = $true) & (upairequniteq = $true) & (symdiffI1 = $true) & (setadjoinSub = $true) & (kpairiskpair = $true) & (cartprodpairmemEL = $true) & (setukpairIR = $true)),
% 2.17/0.69 inference(flattening,[],[f765])).
% 2.17/0.69 thf(f765,plain,(
% 2.17/0.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : (((($true != (in @ X3 @ X2)) & ((in @ X3 @ X0) = $true)) & ($true = (in @ X0 @ (powerset @ X2)))) & ($true = (in @ X3 @ X1))) & ($true = (in @ X2 @ (powerset @ X1)))) & ($true = (in @ X0 @ (powerset @ X1)))) & (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)),
% 2.17/0.69 inference(ennf_transformation,[],[f382])).
% 2.17/0.69 thf(f382,plain,(
% 2.17/0.69 ~((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 = $true) => ! [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) => ! [X2] : (($true = (in @ X2 @ (powerset @ X1))) => ! [X3] : (($true = (in @ X3 @ X1)) => (($true = (in @ X0 @ (powerset @ X2))) => (((in @ X3 @ X0) = $true) => ($true = (in @ X3 @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.17/0.69 inference(fool_elimination,[],[f381])).
% 2.17/0.69 thf(f381,plain,(
% 2.17/0.69 ~(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 => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => ! [X3] : ((in @ X3 @ X1) => ((in @ X0 @ (powerset @ X2)) => ((in @ X3 @ X0) => (in @ X3 @ X2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.17/0.69 inference(rectify,[],[f240])).
% 2.17/0.69 thf(f240,negated_conjecture,(
% 2.17/0.69 ~(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 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X11 @ (powerset @ X16)) => ((in @ X1 @ X11) => (in @ X1 @ X16))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.17/0.69 inference(negated_conjecture,[],[f239])).
% 2.17/0.69 thf(f239,conjecture,(
% 2.17/0.69 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 => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => ! [X1] : ((in @ X1 @ X3) => ((in @ X11 @ (powerset @ X16)) => ((in @ X1 @ X11) => (in @ X1 @ X16)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetTE1)).
% 2.17/0.69 thf(f3726,plain,(
% 2.17/0.69 ($true != (in @ sK606 @ sK603))),
% 2.17/0.69 inference(trivial_inequality_removal,[],[f3708])).
% 2.17/0.69 thf(f3708,plain,(
% 2.17/0.69 ($true != (in @ sK606 @ sK603)) | ($true != $true)),
% 2.17/0.69 inference(superposition,[],[f3566,f3626])).
% 2.17/0.69 thf(f3626,plain,(
% 2.17/0.69 ($true = (subset @ sK603 @ sK605))),
% 2.17/0.69 inference(trivial_inequality_removal,[],[f3625])).
% 2.17/0.69 thf(f3625,plain,(
% 2.17/0.69 ($true != $true) | ($true = (subset @ sK603 @ sK605))),
% 2.17/0.69 inference(forward_demodulation,[],[f3606,f2967])).
% 2.17/0.69 thf(f2967,plain,(
% 2.17/0.69 (powersetE1 = $true)),
% 2.17/0.69 inference(cnf_transformation,[],[f1942])).
% 2.17/0.69 thf(f3606,plain,(
% 2.17/0.69 (powersetE1 != $true) | ($true = (subset @ sK603 @ sK605))),
% 2.17/0.69 inference(trivial_inequality_removal,[],[f3602])).
% 2.17/0.69 thf(f3602,plain,(
% 2.17/0.69 (powersetE1 != $true) | ($true != $true) | ($true = (subset @ sK603 @ sK605))),
% 2.17/0.69 inference(superposition,[],[f2276,f2964])).
% 2.17/0.69 thf(f2964,plain,(
% 2.17/0.69 ((in @ sK603 @ (powerset @ sK605)) = $true)),
% 2.17/0.69 inference(cnf_transformation,[],[f1942])).
% 2.17/0.69 thf(f2276,plain,(
% 2.17/0.69 ( ! [X2 : $i,X3 : $i] : (((in @ X3 @ (powerset @ X2)) != $true) | (powersetE1 != $true) | ($true = (subset @ X3 @ X2))) )),
% 2.17/0.69 inference(cnf_transformation,[],[f1165])).
% 2.17/0.69 thf(f1165,plain,(
% 2.17/0.69 ((powersetE1 = $true) | (((in @ sK100 @ (powerset @ sK99)) = $true) & ($true != (subset @ sK100 @ sK99)))) & (! [X2,X3] : (((in @ X3 @ (powerset @ X2)) != $true) | ($true = (subset @ X3 @ X2))) | (powersetE1 != $true))),
% 2.17/0.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK99,sK100])],[f1163,f1164])).
% 2.17/0.69 thf(f1164,plain,(
% 2.17/0.69 ? [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) & ((subset @ X1 @ X0) != $true)) => (((in @ sK100 @ (powerset @ sK99)) = $true) & ($true != (subset @ sK100 @ sK99)))),
% 2.17/0.69 introduced(choice_axiom,[])).
% 2.17/0.69 thf(f1163,plain,(
% 2.17/0.69 ((powersetE1 = $true) | ? [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) & ((subset @ X1 @ X0) != $true))) & (! [X2,X3] : (((in @ X3 @ (powerset @ X2)) != $true) | ($true = (subset @ X3 @ X2))) | (powersetE1 != $true))),
% 2.17/0.69 inference(rectify,[],[f1162])).
% 2.17/0.69 thf(f1162,plain,(
% 2.17/0.69 ((powersetE1 = $true) | ? [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) & ((subset @ X1 @ X0) != $true))) & (! [X0,X1] : (((in @ X1 @ (powerset @ X0)) != $true) | ((subset @ X1 @ X0) = $true)) | (powersetE1 != $true))),
% 2.17/0.69 inference(nnf_transformation,[],[f915])).
% 2.17/0.69 thf(f915,plain,(
% 2.17/0.69 (powersetE1 = $true) <=> ! [X0,X1] : (((in @ X1 @ (powerset @ X0)) != $true) | ((subset @ X1 @ X0) = $true))),
% 2.17/0.69 inference(ennf_transformation,[],[f284])).
% 2.17/0.69 thf(f284,plain,(
% 2.17/0.69 (powersetE1 = $true) <=> ! [X0,X1] : (((in @ X1 @ (powerset @ X0)) = $true) => ((subset @ X1 @ X0) = $true))),
% 2.17/0.69 inference(fool_elimination,[],[f283])).
% 2.17/0.69 thf(f283,plain,(
% 2.17/0.69 (! [X0,X1] : ((in @ X1 @ (powerset @ X0)) => (subset @ X1 @ X0)) = powersetE1)),
% 2.17/0.69 inference(rectify,[],[f96])).
% 2.17/0.69 thf(f96,axiom,(
% 2.17/0.69 (! [X3,X4] : ((in @ X4 @ (powerset @ X3)) => (subset @ X4 @ X3)) = powersetE1)),
% 2.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetE1)).
% 2.17/0.69 thf(f3566,plain,(
% 2.17/0.69 ( ! [X0 : $i] : (($true != (subset @ X0 @ sK605)) | ((in @ sK606 @ X0) != $true)) )),
% 2.17/0.69 inference(trivial_inequality_removal,[],[f3565])).
% 2.17/0.69 thf(f3565,plain,(
% 2.17/0.69 ( ! [X0 : $i] : (($true != (subset @ X0 @ sK605)) | ($true != $true) | ((in @ sK606 @ X0) != $true)) )),
% 2.17/0.69 inference(forward_demodulation,[],[f3563,f2978])).
% 2.17/0.69 thf(f2978,plain,(
% 2.17/0.69 (subsetE2 = $true)),
% 2.17/0.69 inference(cnf_transformation,[],[f1942])).
% 2.17/0.69 thf(f3563,plain,(
% 2.17/0.69 ( ! [X0 : $i] : ((subsetE2 != $true) | ($true != (subset @ X0 @ sK605)) | ((in @ sK606 @ X0) != $true)) )),
% 2.17/0.69 inference(trivial_inequality_removal,[],[f3556])).
% 2.17/0.69 thf(f3556,plain,(
% 2.17/0.69 ( ! [X0 : $i] : (((in @ sK606 @ X0) != $true) | ($true != (subset @ X0 @ sK605)) | (subsetE2 != $true) | ($true != $true)) )),
% 2.17/0.69 inference(superposition,[],[f2963,f2771])).
% 2.17/0.69 thf(f2771,plain,(
% 2.17/0.69 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true = (in @ X5 @ X3)) | ((in @ X5 @ X4) != $true) | (subsetE2 != $true) | ((subset @ X4 @ X3) != $true)) )),
% 2.17/0.69 inference(cnf_transformation,[],[f1734])).
% 2.17/0.69 thf(f1734,plain,(
% 2.17/0.69 ((subsetE2 = $true) | (($true != (in @ sK468 @ sK466)) & ($true = (subset @ sK467 @ sK466)) & ($true = (in @ sK468 @ sK467)))) & (! [X3,X4,X5] : (($true = (in @ X5 @ X3)) | ((subset @ X4 @ X3) != $true) | ((in @ X5 @ X4) != $true)) | (subsetE2 != $true))),
% 2.17/0.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK466,sK467,sK468])],[f1732,f1733])).
% 2.17/0.69 thf(f1733,plain,(
% 2.17/0.69 ? [X0,X1,X2] : (($true != (in @ X2 @ X0)) & ((subset @ X1 @ X0) = $true) & ($true = (in @ X2 @ X1))) => (($true != (in @ sK468 @ sK466)) & ($true = (subset @ sK467 @ sK466)) & ($true = (in @ sK468 @ sK467)))),
% 2.17/0.69 introduced(choice_axiom,[])).
% 2.17/0.69 thf(f1732,plain,(
% 2.17/0.69 ((subsetE2 = $true) | ? [X0,X1,X2] : (($true != (in @ X2 @ X0)) & ((subset @ X1 @ X0) = $true) & ($true = (in @ X2 @ X1)))) & (! [X3,X4,X5] : (($true = (in @ X5 @ X3)) | ((subset @ X4 @ X3) != $true) | ((in @ X5 @ X4) != $true)) | (subsetE2 != $true))),
% 2.17/0.69 inference(rectify,[],[f1731])).
% 2.17/0.69 thf(f1731,plain,(
% 2.17/0.69 ((subsetE2 = $true) | ? [X0,X1,X2] : (($true != (in @ X2 @ X0)) & ((subset @ X1 @ X0) = $true) & ($true = (in @ X2 @ X1)))) & (! [X0,X1,X2] : (($true = (in @ X2 @ X0)) | ((subset @ X1 @ X0) != $true) | ($true != (in @ X2 @ X1))) | (subsetE2 != $true))),
% 2.17/0.69 inference(nnf_transformation,[],[f980])).
% 2.17/0.69 thf(f980,plain,(
% 2.17/0.69 (subsetE2 = $true) <=> ! [X0,X1,X2] : (($true = (in @ X2 @ X0)) | ((subset @ X1 @ X0) != $true) | ($true != (in @ X2 @ X1)))),
% 2.17/0.69 inference(flattening,[],[f979])).
% 2.17/0.69 thf(f979,plain,(
% 2.17/0.69 ! [X0,X1,X2] : ((($true != (in @ X2 @ X1)) | ($true = (in @ X2 @ X0))) | ((subset @ X1 @ X0) != $true)) <=> (subsetE2 = $true)),
% 2.17/0.69 inference(ennf_transformation,[],[f723])).
% 2.17/0.69 thf(f723,plain,(
% 2.17/0.69 ! [X0,X1,X2] : (((subset @ X1 @ X0) = $true) => (($true != (in @ X2 @ X0)) => ($true != (in @ X2 @ X1)))) <=> (subsetE2 = $true)),
% 2.17/0.69 inference(flattening,[],[f390])).
% 2.17/0.69 thf(f390,plain,(
% 2.17/0.69 ! [X0,X1,X2] : (((subset @ X1 @ X0) = $true) => (~($true = (in @ X2 @ X0)) => ~($true = (in @ X2 @ X1)))) <=> (subsetE2 = $true)),
% 2.17/0.69 inference(fool_elimination,[],[f389])).
% 2.17/0.69 thf(f389,plain,(
% 2.17/0.69 (! [X0,X1,X2] : ((subset @ X1 @ X0) => (~(in @ X2 @ X0) => ~(in @ X2 @ X1))) = subsetE2)),
% 2.17/0.69 inference(rectify,[],[f84])).
% 2.17/0.69 thf(f84,axiom,(
% 2.17/0.69 (! [X4,X3,X1] : ((subset @ X3 @ X4) => (~(in @ X1 @ X4) => ~(in @ X1 @ X3))) = subsetE2)),
% 2.17/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetE2)).
% 2.17/0.69 thf(f2963,plain,(
% 2.17/0.69 ($true != (in @ sK606 @ sK605))),
% 2.17/0.69 inference(cnf_transformation,[],[f1942])).
% 2.17/0.69 % SZS output end Proof for theBenchmark
% 2.17/0.69 % (15804)------------------------------
% 2.17/0.69 % (15804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.69 % (15804)Termination reason: Refutation
% 2.17/0.69
% 2.17/0.69 % (15804)Memory used [KB]: 10746
% 2.17/0.69 % (15804)Time elapsed: 0.212 s
% 2.17/0.69 % (15804)Instructions burned: 553 (million)
% 2.17/0.69 % (15804)------------------------------
% 2.17/0.69 % (15804)------------------------------
% 2.17/0.69 % (15780)Success in time 0.294 s
% 2.17/0.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------