TSTP Solution File: SEU817^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU817^1 : 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 : n003.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 03:51:47 EDT 2024
% Result : Theorem 5.79s 1.21s
% Output : Refutation 5.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU817^1 : TPTP v8.2.0. Released v3.7.0.
% 0.16/0.16 % 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
% 0.16/0.38 % Computer : n003.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sun May 19 16:13:23 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a TH0_THM_EQU_NAR problem
% 0.16/0.38 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
% 0.16/0.44 % (2490)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)
% 0.16/0.44 % (2491)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)
% 0.16/0.44 % (2490)Instruction limit reached!
% 0.16/0.44 % (2490)------------------------------
% 0.16/0.44 % (2490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (2490)Termination reason: Unknown
% 0.16/0.44 % (2490)Termination phase: shuffling
% 0.16/0.44
% 0.16/0.44 % (2490)Memory used [KB]: 1663
% 0.16/0.44 % (2490)Time elapsed: 0.003 s
% 0.16/0.44 % (2490)Instructions burned: 2 (million)
% 0.16/0.44 % (2490)------------------------------
% 0.16/0.44 % (2490)------------------------------
% 0.16/0.44 % (2492)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.44 % (2488)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)
% 0.16/0.44 % (2489)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.44 % (2489)Instruction limit reached!
% 0.16/0.44 % (2489)------------------------------
% 0.16/0.44 % (2489)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (2489)Termination reason: Unknown
% 0.16/0.44 % (2489)Termination phase: shuffling
% 0.16/0.44
% 0.16/0.44 % (2489)Memory used [KB]: 1663
% 0.16/0.44 % (2489)Time elapsed: 0.003 s
% 0.16/0.44 % (2489)Instructions burned: 3 (million)
% 0.16/0.44 % (2489)------------------------------
% 0.16/0.44 % (2489)------------------------------
% 0.16/0.45 % (2487)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)
% 0.16/0.45 % (2492)Instruction limit reached!
% 0.16/0.45 % (2492)------------------------------
% 0.16/0.45 % (2492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (2492)Termination reason: Unknown
% 0.16/0.45 % (2492)Termination phase: shuffling
% 0.16/0.45
% 0.16/0.45 % (2492)Memory used [KB]: 2046
% 0.16/0.45 % (2492)Time elapsed: 0.012 s
% 0.16/0.45 % (2492)Instructions burned: 19 (million)
% 0.16/0.45 % (2492)------------------------------
% 0.16/0.45 % (2492)------------------------------
% 0.16/0.45 % (2493)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)
% 0.16/0.45 % (2494)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)
% 0.16/0.45 % (2486)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.45 % (2487)Instruction limit reached!
% 0.16/0.45 % (2487)------------------------------
% 0.16/0.45 % (2487)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (2487)Termination reason: Unknown
% 0.16/0.45 % (2487)Termination phase: shuffling
% 0.16/0.45
% 0.16/0.45 % (2487)Memory used [KB]: 1663
% 0.16/0.45 % (2487)Time elapsed: 0.005 s
% 0.16/0.45 % (2487)Instructions burned: 5 (million)
% 0.16/0.45 % (2487)------------------------------
% 0.16/0.45 % (2487)------------------------------
% 0.16/0.45 % (2493)Instruction limit reached!
% 0.16/0.45 % (2493)------------------------------
% 0.16/0.45 % (2493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (2493)Termination reason: Unknown
% 0.16/0.45 % (2493)Termination phase: shuffling
% 0.16/0.45
% 0.16/0.45 % (2493)Memory used [KB]: 1663
% 0.16/0.45 % (2493)Time elapsed: 0.005 s
% 0.16/0.45 % (2493)Instructions burned: 3 (million)
% 0.16/0.45 % (2493)------------------------------
% 0.16/0.45 % (2493)------------------------------
% 0.16/0.45 % (2488)Instruction limit reached!
% 0.16/0.45 % (2488)------------------------------
% 0.16/0.45 % (2488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (2488)Termination reason: Unknown
% 0.16/0.45 % (2488)Termination phase: shuffling
% 0.16/0.45
% 0.16/0.45 % (2488)Memory used [KB]: 2174
% 0.16/0.45 % (2488)Time elapsed: 0.014 s
% 0.16/0.45 % (2488)Instructions burned: 28 (million)
% 0.16/0.45 % (2488)------------------------------
% 0.16/0.45 % (2488)------------------------------
% 0.24/0.46 % (2495)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)
% 0.24/0.46 % (2497)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)
% 0.24/0.46 % (2495)Instruction limit reached!
% 0.24/0.46 % (2495)------------------------------
% 0.24/0.46 % (2495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.46 % (2495)Termination reason: Unknown
% 0.24/0.46 % (2495)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (2495)Memory used [KB]: 1918
% 0.24/0.46 % (2495)Time elapsed: 0.009 s
% 0.24/0.46 % (2495)Instructions burned: 15 (million)
% 0.24/0.46 % (2495)------------------------------
% 0.24/0.46 % (2495)------------------------------
% 0.24/0.46 % (2499)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.24/0.47 % (2494)Instruction limit reached!
% 0.24/0.47 % (2494)------------------------------
% 0.24/0.47 % (2494)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.47 % (2494)Termination reason: Unknown
% 0.24/0.47 % (2494)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (2494)Memory used [KB]: 2430
% 0.24/0.47 % (2494)Time elapsed: 0.018 s
% 0.24/0.47 % (2494)Instructions burned: 38 (million)
% 0.24/0.47 % (2494)------------------------------
% 0.24/0.47 % (2494)------------------------------
% 0.24/0.47 % (2499)Instruction limit reached!
% 0.24/0.47 % (2499)------------------------------
% 0.24/0.47 % (2499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.47 % (2499)Termination reason: Unknown
% 0.24/0.47 % (2499)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (2499)Memory used [KB]: 1918
% 0.24/0.47 % (2499)Time elapsed: 0.006 s
% 0.24/0.47 % (2499)Instructions burned: 18 (million)
% 0.24/0.47 % (2499)------------------------------
% 0.24/0.47 % (2499)------------------------------
% 0.24/0.47 % (2498)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.24/0.48 % (2496)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)
% 0.24/0.48 % (2502)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)
% 0.24/0.48 % (2498)Instruction limit reached!
% 0.24/0.48 % (2498)------------------------------
% 0.24/0.48 % (2498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (2498)Termination reason: Unknown
% 0.24/0.48 % (2498)Termination phase: shuffling
% 0.24/0.48
% 0.24/0.48 % (2498)Memory used [KB]: 1791
% 0.24/0.48 % (2498)Time elapsed: 0.007 s
% 0.24/0.48 % (2498)Instructions burned: 7 (million)
% 0.24/0.48 % (2498)------------------------------
% 0.24/0.48 % (2498)------------------------------
% 0.24/0.48 % (2496)Instruction limit reached!
% 0.24/0.48 % (2496)------------------------------
% 0.24/0.48 % (2496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (2496)Termination reason: Unknown
% 0.24/0.48 % (2496)Termination phase: shuffling
% 0.24/0.48
% 0.24/0.48 % (2496)Memory used [KB]: 1663
% 0.24/0.48 % (2496)Time elapsed: 0.004 s
% 0.24/0.48 % (2496)Instructions burned: 4 (million)
% 0.24/0.48 % (2496)------------------------------
% 0.24/0.48 % (2496)------------------------------
% 0.24/0.48 % (2502)Instruction limit reached!
% 0.24/0.48 % (2502)------------------------------
% 0.24/0.48 % (2502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (2502)Termination reason: Unknown
% 0.24/0.48 % (2502)Termination phase: shuffling
% 0.24/0.48
% 0.24/0.48 % (2502)Memory used [KB]: 1791
% 0.24/0.48 % (2502)Time elapsed: 0.004 s
% 0.24/0.48 % (2502)Instructions burned: 8 (million)
% 0.24/0.48 % (2502)------------------------------
% 0.24/0.48 % (2502)------------------------------
% 0.24/0.48 % (2500)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)
% 0.24/0.48 % (2500)Instruction limit reached!
% 0.24/0.48 % (2500)------------------------------
% 0.24/0.48 % (2500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (2500)Termination reason: Unknown
% 0.24/0.48 % (2500)Termination phase: shuffling
% 0.24/0.48
% 0.24/0.48 % (2500)Memory used [KB]: 1663
% 0.24/0.48 % (2500)Time elapsed: 0.003 s
% 0.24/0.48 % (2500)Instructions burned: 3 (million)
% 0.24/0.48 % (2500)------------------------------
% 0.24/0.48 % (2500)------------------------------
% 0.24/0.48 % (2501)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)
% 0.24/0.48 % (2501)Instruction limit reached!
% 0.24/0.48 % (2501)------------------------------
% 0.24/0.48 % (2501)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.48 % (2501)Termination reason: Unknown
% 0.24/0.48 % (2501)Termination phase: shuffling
% 0.24/0.48
% 0.24/0.48 % (2501)Memory used [KB]: 1663
% 0.24/0.48 % (2501)Time elapsed: 0.003 s
% 0.24/0.48 % (2501)Instructions burned: 3 (million)
% 0.24/0.48 % (2501)------------------------------
% 0.24/0.48 % (2501)------------------------------
% 0.24/0.49 % (2504)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2998ds/4Mi)
% 0.24/0.49 % (2504)Instruction limit reached!
% 0.24/0.49 % (2504)------------------------------
% 0.24/0.49 % (2504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.49 % (2504)Termination reason: Unknown
% 0.24/0.49 % (2504)Termination phase: shuffling
% 0.24/0.49
% 0.24/0.49 % (2504)Memory used [KB]: 1663
% 0.24/0.49 % (2504)Time elapsed: 0.003 s
% 0.24/0.49 % (2504)Instructions burned: 5 (million)
% 0.24/0.49 % (2504)------------------------------
% 0.24/0.49 % (2504)------------------------------
% 0.24/0.49 % (2505)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 (2998ds/18Mi)
% 0.24/0.50 % (2503)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 (2998ds/3Mi)
% 0.24/0.50 % (2507)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.24/0.50 % (2503)Instruction limit reached!
% 0.24/0.50 % (2503)------------------------------
% 0.24/0.50 % (2503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.50 % (2503)Termination reason: Unknown
% 0.24/0.50 % (2503)Termination phase: shuffling
% 0.24/0.50
% 0.24/0.50 % (2508)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 (2998ds/902Mi)
% 0.24/0.50 % (2503)Memory used [KB]: 1663
% 0.24/0.50 % (2503)Time elapsed: 0.004 s
% 0.24/0.50 % (2503)Instructions burned: 3 (million)
% 0.24/0.50 % (2503)------------------------------
% 0.24/0.50 % (2503)------------------------------
% 0.24/0.50 % (2507)Instruction limit reached!
% 0.24/0.50 % (2507)------------------------------
% 0.24/0.50 % (2507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.50 % (2507)Termination reason: Unknown
% 0.24/0.50 % (2507)Termination phase: shuffling
% 0.24/0.50
% 0.24/0.50 % (2507)Memory used [KB]: 1791
% 0.24/0.50 % (2507)Time elapsed: 0.004 s
% 0.24/0.50 % (2507)Instructions burned: 6 (million)
% 0.24/0.50 % (2507)------------------------------
% 0.24/0.50 % (2507)------------------------------
% 0.24/0.50 % (2505)Instruction limit reached!
% 0.24/0.50 % (2505)------------------------------
% 0.24/0.50 % (2505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.50 % (2505)Termination reason: Unknown
% 0.24/0.50 % (2505)Termination phase: shuffling
% 0.24/0.50
% 0.24/0.50 % (2505)Memory used [KB]: 2046
% 0.24/0.50 % (2505)Time elapsed: 0.010 s
% 0.24/0.50 % (2505)Instructions burned: 19 (million)
% 0.24/0.50 % (2505)------------------------------
% 0.24/0.50 % (2505)------------------------------
% 0.24/0.50 % (2506)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2998ds/710Mi)
% 0.24/0.51 % (2486)Instruction limit reached!
% 0.24/0.51 % (2486)------------------------------
% 0.24/0.51 % (2486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.51 % (2486)Termination reason: Unknown
% 0.24/0.51 % (2486)Termination phase: Property scanning
% 0.24/0.51
% 0.24/0.51 % (2486)Memory used [KB]: 3198
% 0.24/0.51 % (2486)Time elapsed: 0.056 s
% 0.24/0.51 % (2486)Instructions burned: 184 (million)
% 0.24/0.51 % (2486)------------------------------
% 0.24/0.51 % (2486)------------------------------
% 0.24/0.51 % (2510)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.24/0.51 % (2511)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 (2998ds/6Mi)
% 0.24/0.51 % (2509)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 (2998ds/21Mi)
% 0.24/0.52 % (2512)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.24/0.52 % (2510)Instruction limit reached!
% 0.24/0.52 % (2510)------------------------------
% 0.24/0.52 % (2510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.52 % (2510)Termination reason: Unknown
% 0.24/0.52 % (2510)Termination phase: shuffling
% 0.24/0.52
% 0.24/0.52 % (2510)Memory used [KB]: 1663
% 0.24/0.52 % (2510)Time elapsed: 0.004 s
% 0.24/0.52 % (2510)Instructions burned: 5 (million)
% 0.24/0.52 % (2510)------------------------------
% 0.24/0.52 % (2510)------------------------------
% 0.24/0.52 % (2511)Instruction limit reached!
% 0.24/0.52 % (2511)------------------------------
% 0.24/0.52 % (2511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.52 % (2511)Termination reason: Unknown
% 0.24/0.52 % (2511)Termination phase: shuffling
% 0.24/0.52
% 0.24/0.52 % (2511)Memory used [KB]: 1791
% 0.24/0.52 % (2511)Time elapsed: 0.004 s
% 0.24/0.52 % (2511)Instructions burned: 8 (million)
% 0.24/0.52 % (2511)------------------------------
% 0.24/0.52 % (2511)------------------------------
% 0.24/0.52 % (2514)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)
% 0.24/0.53 % (2509)Instruction limit reached!
% 0.24/0.53 % (2509)------------------------------
% 0.24/0.53 % (2509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.53 % (2509)Termination reason: Unknown
% 0.24/0.53 % (2509)Termination phase: shuffling
% 0.24/0.53
% 0.24/0.53 % (2509)Memory used [KB]: 2046
% 0.24/0.53 % (2509)Time elapsed: 0.018 s
% 0.24/0.53 % (2509)Instructions burned: 21 (million)
% 0.24/0.53 % (2509)------------------------------
% 0.24/0.53 % (2509)------------------------------
% 0.24/0.53 % (2514)Instruction limit reached!
% 0.24/0.53 % (2514)------------------------------
% 0.24/0.53 % (2514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.53 % (2514)Termination reason: Unknown
% 0.24/0.53 % (2514)Termination phase: shuffling
% 0.24/0.53
% 0.24/0.53 % (2514)Memory used [KB]: 2046
% 0.24/0.53 % (2514)Time elapsed: 0.008 s
% 0.24/0.53 % (2514)Instructions burned: 22 (million)
% 0.24/0.53 % (2514)------------------------------
% 0.24/0.53 % (2514)------------------------------
% 0.24/0.53 % (2513)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)
% 0.24/0.54 % (2515)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)
% 0.24/0.54 % (2491)Instruction limit reached!
% 0.24/0.54 % (2491)------------------------------
% 0.24/0.54 % (2491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.24/0.54 % (2491)Termination reason: Unknown
% 0.24/0.54 % (2491)Termination phase: Saturation
% 0.24/0.54
% 0.24/0.54 % (2491)Memory used [KB]: 6140
% 0.24/0.54 % (2491)Time elapsed: 0.096 s
% 0.24/0.54 % (2491)Instructions burned: 275 (million)
% 0.24/0.54 % (2491)------------------------------
% 0.24/0.54 % (2491)------------------------------
% 0.99/0.55 % (2517)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.99/0.55 % (2517)Instruction limit reached!
% 0.99/0.55 % (2517)------------------------------
% 0.99/0.55 % (2517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.99/0.55 % (2517)Termination reason: Unknown
% 0.99/0.55 % (2517)Termination phase: shuffling
% 0.99/0.55
% 0.99/0.55 % (2517)Memory used [KB]: 1663
% 0.99/0.55 % (2517)Time elapsed: 0.003 s
% 0.99/0.55 % (2517)Instructions burned: 6 (million)
% 0.99/0.55 % (2516)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.99/0.55 % (2517)------------------------------
% 0.99/0.55 % (2517)------------------------------
% 0.99/0.56 % (2516)Instruction limit reached!
% 0.99/0.56 % (2516)------------------------------
% 0.99/0.56 % (2516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.99/0.56 % (2516)Termination reason: Unknown
% 0.99/0.56 % (2516)Termination phase: shuffling
% 0.99/0.56
% 0.99/0.56 % (2516)Memory used [KB]: 2046
% 0.99/0.56 % (2516)Time elapsed: 0.008 s
% 0.99/0.56 % (2516)Instructions burned: 18 (million)
% 0.99/0.56 % (2516)------------------------------
% 0.99/0.56 % (2516)------------------------------
% 0.99/0.56 % (2518)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.21/0.57 % (2518)Instruction limit reached!
% 1.21/0.57 % (2518)------------------------------
% 1.21/0.57 % (2518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.57 % (2518)Termination reason: Unknown
% 1.21/0.57 % (2518)Termination phase: shuffling
% 1.21/0.57
% 1.21/0.57 % (2518)Memory used [KB]: 2302
% 1.21/0.57 % (2518)Time elapsed: 0.016 s
% 1.21/0.57 % (2518)Instructions burned: 31 (million)
% 1.21/0.57 % (2518)------------------------------
% 1.21/0.57 % (2518)------------------------------
% 1.21/0.58 % (2519)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)
% 1.21/0.60 % (2520)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)
% 1.21/0.64 % (2519)Instruction limit reached!
% 1.21/0.64 % (2519)------------------------------
% 1.21/0.64 % (2519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.64 % (2519)Termination reason: Unknown
% 1.21/0.64 % (2519)Termination phase: Property scanning
% 1.21/0.64
% 1.21/0.64 % (2519)Memory used [KB]: 3070
% 1.21/0.64 % (2519)Time elapsed: 0.054 s
% 1.21/0.64 % (2519)Instructions burned: 129 (million)
% 1.21/0.64 % (2519)------------------------------
% 1.21/0.64 % (2519)------------------------------
% 1.21/0.64 % (2520)Instruction limit reached!
% 1.21/0.64 % (2520)------------------------------
% 1.21/0.64 % (2520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.21/0.64 % (2520)Termination reason: Unknown
% 1.21/0.64 % (2520)Termination phase: Preprocessing 1
% 1.21/0.64
% 1.21/0.64 % (2520)Memory used [KB]: 2814
% 1.21/0.64 % (2520)Time elapsed: 0.035 s
% 1.21/0.64 % (2520)Instructions burned: 101 (million)
% 1.21/0.64 % (2520)------------------------------
% 1.21/0.64 % (2520)------------------------------
% 1.21/0.65 % (2521)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)
% 1.74/0.65 % (2521)Instruction limit reached!
% 1.74/0.65 % (2521)------------------------------
% 1.74/0.65 % (2521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.74/0.65 % (2521)Termination reason: Unknown
% 1.74/0.65 % (2521)Termination phase: shuffling
% 1.74/0.65
% 1.74/0.65 % (2521)Memory used [KB]: 1791
% 1.74/0.65 % (2521)Time elapsed: 0.004 s
% 1.74/0.65 % (2521)Instructions burned: 6 (million)
% 1.74/0.65 % (2521)------------------------------
% 1.74/0.65 % (2521)------------------------------
% 1.74/0.65 % (2512)Instruction limit reached!
% 1.74/0.65 % (2512)------------------------------
% 1.74/0.65 % (2512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.74/0.65 % (2512)Termination reason: Unknown
% 1.74/0.65 % (2512)Termination phase: Saturation
% 1.74/0.65
% 1.74/0.65 % (2512)Memory used [KB]: 8443
% 1.74/0.65 % (2512)Time elapsed: 0.135 s
% 1.74/0.65 % (2512)Instructions burned: 377 (million)
% 1.74/0.65 % (2512)------------------------------
% 1.74/0.65 % (2512)------------------------------
% 1.74/0.65 % (2522)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)
% 1.74/0.66 % (2523)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)
% 1.74/0.66 % (2524)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)
% 1.74/0.66 % (2522)Instruction limit reached!
% 1.74/0.66 % (2522)------------------------------
% 1.74/0.66 % (2522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.74/0.66 % (2522)Termination reason: Unknown
% 1.74/0.66 % (2522)Termination phase: shuffling
% 1.74/0.66
% 1.74/0.66 % (2522)Memory used [KB]: 2174
% 1.74/0.66 % (2522)Time elapsed: 0.008 s
% 1.74/0.66 % (2522)Instructions burned: 21 (million)
% 1.74/0.66 % (2522)------------------------------
% 1.74/0.66 % (2522)------------------------------
% 1.74/0.67 % (2525)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)
% 1.89/0.68 % (2523)Instruction limit reached!
% 1.89/0.68 % (2523)------------------------------
% 1.89/0.68 % (2523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.89/0.68 % (2523)Termination reason: Unknown
% 1.89/0.68 % (2523)Termination phase: Property scanning
% 1.89/0.68
% 1.89/0.68 % (2523)Memory used [KB]: 2814
% 1.89/0.68 % (2523)Time elapsed: 0.027 s
% 1.89/0.68 % (2523)Instructions burned: 88 (million)
% 1.89/0.68 % (2523)------------------------------
% 1.89/0.68 % (2523)------------------------------
% 1.89/0.69 % (2525)Instruction limit reached!
% 1.89/0.69 % (2525)------------------------------
% 1.89/0.69 % (2525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.89/0.69 % (2525)Termination reason: Unknown
% 1.89/0.69 % (2525)Termination phase: shuffling
% 1.89/0.69
% 1.89/0.69 % (2525)Memory used [KB]: 2430
% 1.89/0.69 % (2525)Time elapsed: 0.018 s
% 1.89/0.69 % (2525)Instructions burned: 41 (million)
% 1.89/0.69 % (2525)------------------------------
% 1.89/0.69 % (2525)------------------------------
% 1.89/0.69 % (2524)Instruction limit reached!
% 1.89/0.69 % (2524)------------------------------
% 1.89/0.69 % (2524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.89/0.69 % (2524)Termination reason: Unknown
% 1.89/0.70 % (2524)Termination phase: SInE selection
% 1.89/0.70
% 1.89/0.70 % (2524)Memory used [KB]: 2814
% 1.89/0.70 % (2524)Time elapsed: 0.038 s
% 1.89/0.70 % (2524)Instructions burned: 107 (million)
% 1.89/0.70 % (2524)------------------------------
% 1.89/0.70 % (2524)------------------------------
% 1.89/0.70 % (2527)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)
% 1.89/0.70 % (2526)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)
% 1.89/0.71 % (2528)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 1.89/0.71 % (2527)Instruction limit reached!
% 1.89/0.71 % (2527)------------------------------
% 1.89/0.71 % (2527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.89/0.71 % (2527)Termination reason: Unknown
% 1.89/0.71 % (2527)Termination phase: shuffling
% 1.89/0.71
% 1.89/0.71 % (2527)Memory used [KB]: 2558
% 1.89/0.71 % (2527)Time elapsed: 0.019 s
% 1.89/0.71 % (2527)Instructions burned: 47 (million)
% 1.89/0.71 % (2527)------------------------------
% 1.89/0.71 % (2527)------------------------------
% 1.89/0.72 % (2529)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2996ds/507Mi)
% 2.29/0.75 % (2528)Instruction limit reached!
% 2.29/0.75 % (2528)------------------------------
% 2.29/0.75 % (2528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.75 % (2528)Termination reason: Unknown
% 2.29/0.75 % (2528)Termination phase: Property scanning
% 2.29/0.75
% 2.29/0.75 % (2528)Memory used [KB]: 3070
% 2.29/0.75 % (2528)Time elapsed: 0.043 s
% 2.29/0.75 % (2528)Instructions burned: 98 (million)
% 2.29/0.75 % (2528)------------------------------
% 2.29/0.75 % (2528)------------------------------
% 2.29/0.76 % (2497)Instruction limit reached!
% 2.29/0.76 % (2497)------------------------------
% 2.29/0.76 % (2497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.76 % (2497)Termination reason: Unknown
% 2.29/0.76 % (2497)Termination phase: Saturation
% 2.29/0.77
% 2.29/0.77 % (2497)Memory used [KB]: 19573
% 2.29/0.77 % (2497)Time elapsed: 0.324 s
% 2.29/0.77 % (2497)Instructions burned: 1043 (million)
% 2.29/0.77 % (2497)------------------------------
% 2.29/0.77 % (2497)------------------------------
% 2.29/0.77 % (2530)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 2.29/0.78 % (2531)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.29/0.80 % (2531)Instruction limit reached!
% 2.29/0.80 % (2531)------------------------------
% 2.29/0.80 % (2531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.80 % (2531)Termination reason: Unknown
% 2.29/0.80 % (2531)Termination phase: shuffling
% 2.29/0.80
% 2.29/0.80 % (2531)Memory used [KB]: 2430
% 2.29/0.80 % (2531)Time elapsed: 0.013 s
% 2.29/0.80 % (2531)Instructions burned: 41 (million)
% 2.29/0.80 % (2531)------------------------------
% 2.29/0.80 % (2531)------------------------------
% 2.29/0.80 % (2532)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 2.29/0.81 % (2532)Instruction limit reached!
% 2.29/0.81 % (2532)------------------------------
% 2.29/0.81 % (2532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.81 % (2532)Termination reason: Unknown
% 2.29/0.81 % (2532)Termination phase: shuffling
% 2.29/0.81
% 2.29/0.81 % (2532)Memory used [KB]: 1791
% 2.29/0.81 % (2532)Time elapsed: 0.004 s
% 2.29/0.81 % (2532)Instructions burned: 8 (million)
% 2.29/0.81 % (2532)------------------------------
% 2.29/0.81 % (2532)------------------------------
% 2.29/0.81 % (2513)Instruction limit reached!
% 2.29/0.81 % (2513)------------------------------
% 2.29/0.81 % (2513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.81 % (2513)Termination reason: Unknown
% 2.29/0.81 % (2513)Termination phase: Saturation
% 2.29/0.81
% 2.29/0.81 % (2513)Memory used [KB]: 8059
% 2.29/0.81 % (2513)Time elapsed: 0.279 s
% 2.29/0.81 % (2513)Instructions burned: 782 (million)
% 2.29/0.81 % (2513)------------------------------
% 2.29/0.81 % (2513)------------------------------
% 2.63/0.82 % (2533)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2995ds/1087Mi)
% 2.63/0.82 % (2530)Instruction limit reached!
% 2.63/0.82 % (2530)------------------------------
% 2.63/0.82 % (2530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.63/0.82 % (2530)Termination reason: Unknown
% 2.63/0.82 % (2530)Termination phase: Function definition elimination
% 2.63/0.82
% 2.63/0.82 % (2530)Memory used [KB]: 3070
% 2.63/0.82 % (2506)Instruction limit reached!
% 2.63/0.82 % (2506)------------------------------
% 2.63/0.82 % (2506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.63/0.82 % (2506)Termination reason: Unknown
% 2.63/0.82 % (2506)Termination phase: Saturation
% 2.63/0.82
% 2.63/0.82 % (2506)Memory used [KB]: 12665
% 2.63/0.82 % (2506)Time elapsed: 0.322 s
% 2.63/0.82 % (2506)Instructions burned: 710 (million)
% 2.63/0.82 % (2506)------------------------------
% 2.63/0.82 % (2506)------------------------------
% 2.63/0.82 % (2530)Time elapsed: 0.058 s
% 2.63/0.82 % (2530)Instructions burned: 149 (million)
% 2.63/0.82 % (2530)------------------------------
% 2.63/0.82 % (2530)------------------------------
% 2.63/0.82 % (2534)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi)
% 2.63/0.83 % (2535)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2995ds/44Mi)
% 2.63/0.84 % (2526)Instruction limit reached!
% 2.63/0.84 % (2526)------------------------------
% 2.63/0.84 % (2526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.63/0.84 % (2526)Termination reason: Unknown
% 2.63/0.84 % (2526)Termination phase: Saturation
% 2.63/0.84
% 2.63/0.84 % (2526)Memory used [KB]: 7931
% 2.63/0.84 % (2526)Time elapsed: 0.141 s
% 2.63/0.84 % (2526)Instructions burned: 451 (million)
% 2.63/0.84 % (2526)------------------------------
% 2.63/0.84 % (2526)------------------------------
% 2.63/0.84 % (2536)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2995ds/432Mi)
% 2.63/0.84 % (2535)Instruction limit reached!
% 2.63/0.84 % (2535)------------------------------
% 2.63/0.84 % (2535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.63/0.84 % (2535)Termination reason: Unknown
% 2.63/0.84 % (2535)Termination phase: shuffling
% 2.63/0.84
% 2.63/0.84 % (2535)Memory used [KB]: 2558
% 2.63/0.84 % (2535)Time elapsed: 0.014 s
% 2.63/0.84 % (2535)Instructions burned: 44 (million)
% 2.63/0.84 % (2535)------------------------------
% 2.63/0.84 % (2535)------------------------------
% 2.63/0.85 % (2534)Instruction limit reached!
% 2.63/0.85 % (2534)------------------------------
% 2.63/0.85 % (2534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.63/0.85 % (2534)Termination reason: Unknown
% 2.63/0.85 % (2534)Termination phase: shuffling
% 2.63/0.85
% 2.63/0.85 % (2534)Memory used [KB]: 2558
% 2.63/0.85 % (2534)Time elapsed: 0.023 s
% 2.63/0.85 % (2534)Instructions burned: 48 (million)
% 2.63/0.85 % (2534)------------------------------
% 2.63/0.85 % (2534)------------------------------
% 2.63/0.85 % (2537)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2995ds/62Mi)
% 2.63/0.86 % (2539)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 2.63/0.86 % (2538)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2995ds/31Mi)
% 2.63/0.86 % (2537)Instruction limit reached!
% 2.63/0.86 % (2537)------------------------------
% 2.63/0.86 % (2537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.63/0.86 % (2537)Termination reason: Unknown
% 2.63/0.86 % (2537)Termination phase: shuffling
% 2.63/0.86
% 2.63/0.86 % (2537)Memory used [KB]: 2814
% 2.63/0.86 % (2537)Time elapsed: 0.019 s
% 2.63/0.86 % (2537)Instructions burned: 65 (million)
% 2.63/0.86 % (2537)------------------------------
% 2.63/0.86 % (2537)------------------------------
% 2.63/0.87 % (2515)Instruction limit reached!
% 2.63/0.87 % (2515)------------------------------
% 2.63/0.87 % (2515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.63/0.87 % (2515)Termination reason: Unknown
% 2.63/0.87 % (2515)Termination phase: Saturation
% 2.63/0.87
% 2.63/0.87 % (2515)Memory used [KB]: 10746
% 2.63/0.87 % (2515)Time elapsed: 0.318 s
% 2.63/0.87 % (2515)Instructions burned: 880 (million)
% 2.63/0.87 % (2515)------------------------------
% 2.63/0.87 % (2515)------------------------------
% 3.00/0.87 % (2538)Instruction limit reached!
% 3.00/0.87 % (2538)------------------------------
% 3.00/0.87 % (2538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.87 % (2538)Termination reason: Unknown
% 3.00/0.87 % (2538)Termination phase: shuffling
% 3.00/0.87
% 3.00/0.87 % (2538)Memory used [KB]: 2302
% 3.00/0.87 % (2538)Time elapsed: 0.016 s
% 3.00/0.87 % (2538)Instructions burned: 31 (million)
% 3.00/0.87 % (2538)------------------------------
% 3.00/0.87 % (2538)------------------------------
% 3.00/0.88 % (2540)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2995ds/453Mi)
% 3.00/0.88 % (2541)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 3.00/0.89 % (2529)Instruction limit reached!
% 3.00/0.89 % (2529)------------------------------
% 3.00/0.89 % (2529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.89 % (2529)Termination reason: Unknown
% 3.00/0.89 % (2529)Termination phase: Saturation
% 3.00/0.89
% 3.00/0.89 % (2529)Memory used [KB]: 8443
% 3.00/0.89 % (2529)Time elapsed: 0.166 s
% 3.00/0.89 % (2529)Instructions burned: 508 (million)
% 3.00/0.89 % (2529)------------------------------
% 3.00/0.89 % (2529)------------------------------
% 3.00/0.89 % (2542)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 3.00/0.90 % (2539)Instruction limit reached!
% 3.00/0.90 % (2539)------------------------------
% 3.00/0.90 % (2539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.90 % (2539)Termination reason: Unknown
% 3.00/0.90 % (2539)Termination phase: Property scanning
% 3.00/0.90
% 3.00/0.90 % (2539)Memory used [KB]: 2814
% 3.00/0.90 % (2539)Time elapsed: 0.043 s
% 3.00/0.90 % (2539)Instructions burned: 96 (million)
% 3.00/0.90 % (2539)------------------------------
% 3.00/0.90 % (2539)------------------------------
% 3.00/0.90 % (2543)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2994ds/11Mi)
% 3.00/0.90 % (2508)Instruction limit reached!
% 3.00/0.90 % (2508)------------------------------
% 3.00/0.90 % (2508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.90 % (2508)Termination reason: Unknown
% 3.00/0.90 % (2508)Termination phase: Saturation
% 3.00/0.90
% 3.00/0.90 % (2508)Memory used [KB]: 13816
% 3.00/0.90 % (2508)Time elapsed: 0.399 s
% 3.00/0.90 % (2508)Instructions burned: 902 (million)
% 3.00/0.90 % (2508)------------------------------
% 3.00/0.90 % (2508)------------------------------
% 3.00/0.90 % (2541)Instruction limit reached!
% 3.00/0.90 % (2541)------------------------------
% 3.00/0.90 % (2541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.90 % (2541)Termination reason: Unknown
% 3.00/0.90 % (2541)Termination phase: Property scanning
% 3.00/0.90
% 3.00/0.90 % (2541)Memory used [KB]: 2814
% 3.00/0.90 % (2541)Time elapsed: 0.025 s
% 3.00/0.90 % (2541)Instructions burned: 72 (million)
% 3.00/0.90 % (2541)------------------------------
% 3.00/0.90 % (2541)------------------------------
% 3.00/0.91 % (2543)Instruction limit reached!
% 3.00/0.91 % (2543)------------------------------
% 3.00/0.91 % (2543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.91 % (2543)Termination reason: Unknown
% 3.00/0.91 % (2543)Termination phase: shuffling
% 3.00/0.91
% 3.00/0.91 % (2543)Memory used [KB]: 1918
% 3.00/0.91 % (2543)Time elapsed: 0.007 s
% 3.00/0.91 % (2543)Instructions burned: 13 (million)
% 3.00/0.91 % (2543)------------------------------
% 3.00/0.91 % (2543)------------------------------
% 3.00/0.92 % (2544)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2994ds/41Mi)
% 3.00/0.92 % (2545)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 3.00/0.92 % (2545)Instruction limit reached!
% 3.00/0.92 % (2545)------------------------------
% 3.00/0.92 % (2545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.92 % (2545)Termination reason: Unknown
% 3.00/0.92 % (2545)Termination phase: shuffling
% 3.00/0.92
% 3.00/0.92 % (2545)Memory used [KB]: 1791
% 3.00/0.92 % (2545)Time elapsed: 0.005 s
% 3.00/0.92 % (2545)Instructions burned: 6 (million)
% 3.00/0.92 % (2545)------------------------------
% 3.00/0.92 % (2545)------------------------------
% 3.00/0.92 % (2542)Instruction limit reached!
% 3.00/0.92 % (2542)------------------------------
% 3.00/0.92 % (2542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.92 % (2546)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2994ds/150Mi)
% 3.00/0.92 % (2542)Termination reason: Unknown
% 3.00/0.92 % (2542)Termination phase: Property scanning
% 3.00/0.92
% 3.00/0.92 % (2542)Memory used [KB]: 2814
% 3.00/0.92 % (2542)Time elapsed: 0.035 s
% 3.00/0.92 % (2542)Instructions burned: 83 (million)
% 3.00/0.92 % (2542)------------------------------
% 3.00/0.92 % (2542)------------------------------
% 3.00/0.92 % (2547)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2994ds/343Mi)
% 3.00/0.93 % (2544)Instruction limit reached!
% 3.00/0.93 % (2544)------------------------------
% 3.00/0.93 % (2544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.00/0.93 % (2544)Termination reason: Unknown
% 3.00/0.93 % (2544)Termination phase: shuffling
% 3.00/0.93
% 3.00/0.93 % (2544)Memory used [KB]: 2430
% 3.00/0.93 % (2544)Time elapsed: 0.018 s
% 3.00/0.93 % (2544)Instructions burned: 42 (million)
% 3.00/0.93 % (2544)------------------------------
% 3.00/0.93 % (2544)------------------------------
% 3.00/0.93 % (2549)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2994ds/253Mi)
% 3.00/0.94 % (2548)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2994ds/109Mi)
% 3.00/0.94 % (2550)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2994ds/140Mi)
% 3.78/0.97 % (2548)Instruction limit reached!
% 3.78/0.97 % (2548)------------------------------
% 3.78/0.97 % (2548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.97 % (2548)Termination reason: Unknown
% 3.78/0.97 % (2548)Termination phase: SInE selection
% 3.78/0.97
% 3.78/0.97 % (2548)Memory used [KB]: 2942
% 3.78/0.97 % (2548)Time elapsed: 0.039 s
% 3.78/0.97 % (2548)Instructions burned: 110 (million)
% 3.78/0.97 % (2548)------------------------------
% 3.78/0.97 % (2548)------------------------------
% 3.78/0.97 % (2536)Instruction limit reached!
% 3.78/0.97 % (2536)------------------------------
% 3.78/0.97 % (2536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.97 % (2536)Termination reason: Unknown
% 3.78/0.97 % (2536)Termination phase: Saturation
% 3.78/0.97
% 3.78/0.97 % (2536)Memory used [KB]: 3454
% 3.78/0.97 % (2536)Time elapsed: 0.137 s
% 3.78/0.97 % (2536)Instructions burned: 434 (million)
% 3.78/0.97 % (2536)------------------------------
% 3.78/0.97 % (2536)------------------------------
% 3.98/0.99 % (2550)Instruction limit reached!
% 3.98/0.99 % (2550)------------------------------
% 3.98/0.99 % (2550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.98/0.99 % (2550)Termination reason: Unknown
% 3.98/0.99 % (2550)Termination phase: Property scanning
% 3.98/0.99
% 3.98/0.99 % (2550)Memory used [KB]: 3070
% 3.98/0.99 % (2550)Time elapsed: 0.046 s
% 3.98/0.99 % (2550)Instructions burned: 140 (million)
% 3.98/0.99 % (2550)------------------------------
% 3.98/0.99 % (2550)------------------------------
% 3.98/0.99 % (2552)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2994ds/202Mi)
% 3.98/0.99 % (2546)Instruction limit reached!
% 3.98/0.99 % (2546)------------------------------
% 3.98/0.99 % (2546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.98/0.99 % (2546)Termination reason: Unknown
% 3.98/0.99 % (2546)Termination phase: Preprocessing 3
% 3.98/0.99
% 3.98/0.99 % (2546)Memory used [KB]: 5500
% 3.98/0.99 % (2546)Time elapsed: 0.071 s
% 3.98/0.99 % (2546)Instructions burned: 151 (million)
% 3.98/0.99 % (2546)------------------------------
% 3.98/0.99 % (2546)------------------------------
% 3.98/0.99 % (2551)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2994ds/614Mi)
% 3.98/0.99 % (2553)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2993ds/339Mi)
% 3.98/1.00 % (2554)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=283:si=on:rtra=on_0 on theBenchmark for (2993ds/283Mi)
% 3.98/1.02 % (2540)Instruction limit reached!
% 3.98/1.02 % (2540)------------------------------
% 3.98/1.02 % (2540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.98/1.02 % (2540)Termination reason: Unknown
% 3.98/1.02 % (2540)Termination phase: Saturation
% 3.98/1.02
% 3.98/1.02 % (2540)Memory used [KB]: 7931
% 3.98/1.02 % (2540)Time elapsed: 0.136 s
% 3.98/1.02 % (2540)Instructions burned: 457 (million)
% 3.98/1.02 % (2540)------------------------------
% 3.98/1.02 % (2540)------------------------------
% 4.25/1.03 % (2547)Instruction limit reached!
% 4.25/1.03 % (2547)------------------------------
% 4.25/1.03 % (2547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.25/1.03 % (2547)Termination reason: Unknown
% 4.25/1.03 % (2547)Termination phase: Saturation
% 4.25/1.03
% 4.25/1.03 % (2547)Memory used [KB]: 8571
% 4.25/1.03 % (2547)Time elapsed: 0.105 s
% 4.25/1.03 % (2547)Instructions burned: 343 (million)
% 4.25/1.03 % (2547)------------------------------
% 4.25/1.03 % (2547)------------------------------
% 4.25/1.03 % (2555)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2993ds/134Mi)
% 4.25/1.04 % (2549)Instruction limit reached!
% 4.25/1.04 % (2549)------------------------------
% 4.25/1.04 % (2549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.25/1.04 % (2549)Termination reason: Unknown
% 4.25/1.04 % (2549)Termination phase: Property scanning
% 4.25/1.04
% 4.25/1.04 % (2549)Memory used [KB]: 6012
% 4.25/1.04 % (2549)Time elapsed: 0.105 s
% 4.25/1.04 % (2556)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2993ds/298Mi)
% 4.25/1.04 % (2549)Instructions burned: 256 (million)
% 4.25/1.04 % (2549)------------------------------
% 4.25/1.04 % (2549)------------------------------
% 4.25/1.05 % (2557)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2993ds/192Mi)
% 5.00/1.06 % (2552)Instruction limit reached!
% 5.00/1.06 % (2552)------------------------------
% 5.00/1.06 % (2552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.00/1.06 % (2552)Termination reason: Unknown
% 5.00/1.06 % (2552)Termination phase: Property scanning
% 5.00/1.06
% 5.00/1.06 % (2552)Memory used [KB]: 5756
% 5.00/1.06 % (2552)Time elapsed: 0.080 s
% 5.00/1.06 % (2552)Instructions burned: 202 (million)
% 5.00/1.06 % (2552)------------------------------
% 5.00/1.06 % (2552)------------------------------
% 5.00/1.07 % (2555)Instruction limit reached!
% 5.00/1.07 % (2555)------------------------------
% 5.00/1.07 % (2555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.00/1.07 % (2555)Termination reason: Unknown
% 5.00/1.07 % (2555)Termination phase: Property scanning
% 5.00/1.07
% 5.00/1.07 % (2555)Memory used [KB]: 3070
% 5.00/1.07 % (2555)Time elapsed: 0.038 s
% 5.00/1.07 % (2555)Instructions burned: 137 (million)
% 5.00/1.07 % (2555)------------------------------
% 5.00/1.07 % (2555)------------------------------
% 5.00/1.08 % (2554)Instruction limit reached!
% 5.00/1.08 % (2554)------------------------------
% 5.00/1.08 % (2554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.00/1.08 % (2558)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2993ds/258Mi)
% 5.00/1.08 % (2554)Termination reason: Unknown
% 5.00/1.08 % (2554)Termination phase: Saturation
% 5.00/1.08
% 5.00/1.08 % (2554)Memory used [KB]: 7931
% 5.00/1.08 % (2554)Time elapsed: 0.079 s
% 5.00/1.08 % (2554)Instructions burned: 285 (million)
% 5.00/1.08 % (2554)------------------------------
% 5.00/1.08 % (2554)------------------------------
% 5.00/1.08 % (2559)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2993ds/90Mi)
% 5.00/1.10 % (2557)Instruction limit reached!
% 5.00/1.10 % (2557)------------------------------
% 5.00/1.10 % (2557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.00/1.10 % (2557)Termination reason: Unknown
% 5.00/1.10 % (2557)Termination phase: Property scanning
% 5.00/1.10
% 5.00/1.10 % (2557)Memory used [KB]: 3326
% 5.00/1.10 % (2557)Time elapsed: 0.056 s
% 5.00/1.10 % (2557)Instructions burned: 192 (million)
% 5.00/1.10 % (2557)------------------------------
% 5.00/1.10 % (2557)------------------------------
% 5.00/1.10 % (2560)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2993ds/231Mi)
% 5.00/1.11 % (2561)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2992ds/458Mi)
% 5.00/1.11 % (2559)Instruction limit reached!
% 5.00/1.11 % (2559)------------------------------
% 5.00/1.11 % (2559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.00/1.11 % (2559)Termination reason: Unknown
% 5.00/1.11 % (2559)Termination phase: Property scanning
% 5.00/1.11
% 5.00/1.11 % (2559)Memory used [KB]: 2814
% 5.00/1.11 % (2559)Time elapsed: 0.031 s
% 5.00/1.11 % (2559)Instructions burned: 93 (million)
% 5.00/1.11 % (2559)------------------------------
% 5.00/1.11 % (2559)------------------------------
% 5.00/1.12 % (2562)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2992ds/31Mi)
% 5.00/1.13 % (2553)Instruction limit reached!
% 5.00/1.13 % (2553)------------------------------
% 5.00/1.13 % (2553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.00/1.13 % (2553)Termination reason: Unknown
% 5.00/1.13 % (2553)Termination phase: Saturation
% 5.00/1.13
% 5.00/1.13 % (2553)Memory used [KB]: 8187
% 5.00/1.13 % (2553)Time elapsed: 0.134 s
% 5.00/1.13 % (2553)Instructions burned: 339 (million)
% 5.00/1.13 % (2553)------------------------------
% 5.00/1.13 % (2553)------------------------------
% 5.32/1.13 % (2556)Instruction limit reached!
% 5.32/1.13 % (2556)------------------------------
% 5.32/1.13 % (2556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.32/1.13 % (2556)Termination reason: Unknown
% 5.32/1.13 % (2556)Termination phase: Saturation
% 5.32/1.13
% 5.32/1.13 % (2556)Memory used [KB]: 7931
% 5.32/1.13 % (2556)Time elapsed: 0.094 s
% 5.32/1.13 % (2556)Instructions burned: 299 (million)
% 5.32/1.13 % (2556)------------------------------
% 5.32/1.13 % (2556)------------------------------
% 5.32/1.13 % (2562)Instruction limit reached!
% 5.32/1.13 % (2562)------------------------------
% 5.32/1.13 % (2562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.32/1.13 % (2562)Termination reason: Unknown
% 5.32/1.13 % (2562)Termination phase: shuffling
% 5.32/1.13
% 5.32/1.13 % (2562)Memory used [KB]: 2302
% 5.32/1.13 % (2562)Time elapsed: 0.012 s
% 5.32/1.13 % (2562)Instructions burned: 31 (million)
% 5.32/1.13 % (2562)------------------------------
% 5.32/1.13 % (2562)------------------------------
% 5.32/1.14 % (2563)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2992ds/297Mi)
% 5.32/1.14 % (2564)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2992ds/987Mi)
% 5.32/1.15 % (2565)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2992ds/182Mi)
% 5.32/1.17 % (2558)Instruction limit reached!
% 5.32/1.17 % (2558)------------------------------
% 5.32/1.17 % (2558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.32/1.17 % (2558)Termination reason: Unknown
% 5.32/1.17 % (2558)Termination phase: Saturation
% 5.32/1.17
% 5.32/1.17 % (2558)Memory used [KB]: 8059
% 5.32/1.17 % (2558)Time elapsed: 0.096 s
% 5.32/1.17 % (2558)Instructions burned: 259 (million)
% 5.32/1.17 % (2558)------------------------------
% 5.32/1.17 % (2558)------------------------------
% 5.32/1.18 % (2560)Instruction limit reached!
% 5.32/1.18 % (2560)------------------------------
% 5.32/1.18 % (2560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.32/1.18 % (2560)Termination reason: Unknown
% 5.32/1.18 % (2560)Termination phase: Property scanning
% 5.32/1.18
% 5.32/1.18 % (2560)Memory used [KB]: 4477
% 5.32/1.18 % (2560)Time elapsed: 0.075 s
% 5.32/1.18 % (2560)Instructions burned: 232 (million)
% 5.32/1.18 % (2560)------------------------------
% 5.32/1.18 % (2560)------------------------------
% 5.79/1.19 % (2566)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2992ds/182Mi)
% 5.79/1.19 % (2567)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2992ds/154Mi)
% 5.79/1.20 % (2533)First to succeed.
% 5.79/1.21 % (2533)Refutation found. Thanks to Tanya!
% 5.79/1.21 % SZS status Theorem for theBenchmark
% 5.79/1.21 % SZS output start Proof for theBenchmark
% 5.79/1.21 thf(func_def_0, type, in: $i > $i > $o).
% 5.79/1.21 thf(func_def_1, type, exu: ($i > $o) > $o).
% 5.79/1.21 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 5.79/1.21 thf(func_def_8, type, powerset: $i > $i).
% 5.79/1.21 thf(func_def_10, type, setunion: $i > $i).
% 5.79/1.21 thf(func_def_19, type, descr: ($i > $o) > $i).
% 5.79/1.21 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_26, type, prop2set: $o > $i).
% 5.79/1.21 thf(func_def_36, type, nonempty: $i > $o).
% 5.79/1.21 thf(func_def_69, type, set2prop: $i > $o).
% 5.79/1.21 thf(func_def_88, type, subset: $i > $i > $o).
% 5.79/1.21 thf(func_def_89, type, disjoint: $i > $i > $o).
% 5.79/1.21 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 5.79/1.21 thf(func_def_114, type, binunion: $i > $i > $i).
% 5.79/1.21 thf(func_def_122, type, binintersect: $i > $i > $i).
% 5.79/1.21 thf(func_def_135, type, regular: $i > $o).
% 5.79/1.21 thf(func_def_136, type, setminus: $i > $i > $i).
% 5.79/1.21 thf(func_def_147, type, symdiff: $i > $i > $i).
% 5.79/1.21 thf(func_def_153, type, iskpair: $i > $o).
% 5.79/1.21 thf(func_def_158, type, kpair: $i > $i > $i).
% 5.79/1.21 thf(func_def_160, type, cartprod: $i > $i > $i).
% 5.79/1.21 thf(func_def_177, type, singleton: $i > $o).
% 5.79/1.21 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 5.79/1.21 thf(func_def_184, type, atmost1p: $i > $o).
% 5.79/1.21 thf(func_def_185, type, atleast2p: $i > $o).
% 5.79/1.21 thf(func_def_186, type, atmost2p: $i > $o).
% 5.79/1.21 thf(func_def_187, type, upairsetp: $i > $o).
% 5.79/1.21 thf(func_def_191, type, kfst: $i > $i).
% 5.79/1.21 thf(func_def_203, type, ksnd: $i > $i).
% 5.79/1.21 thf(func_def_213, type, breln: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 5.79/1.21 thf(func_def_222, type, func: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_223, type, funcSet: $i > $i > $i).
% 5.79/1.21 thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 5.79/1.21 thf(func_def_323, type, breln1: $i > $i > $o).
% 5.79/1.21 thf(func_def_325, type, breln1Set: $i > $i).
% 5.79/1.21 thf(func_def_327, type, transitive: $i > $i > $o).
% 5.79/1.21 thf(func_def_328, type, antisymmetric: $i > $i > $o).
% 5.79/1.21 thf(func_def_329, type, reflexive: $i > $i > $o).
% 5.79/1.21 thf(func_def_330, type, refltransitive: $i > $i > $o).
% 5.79/1.21 thf(func_def_331, type, refllinearorder: $i > $i > $o).
% 5.79/1.21 thf(func_def_332, type, reflwellordering: $i > $i > $o).
% 5.79/1.21 thf(func_def_338, type, breln1invset: $i > $i > $i).
% 5.79/1.21 thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_360, type, image1: $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_364, type, injective: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_365, type, injFuncSet: $i > $i > $i).
% 5.79/1.21 thf(func_def_369, type, surjective: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_370, type, surjFuncSet: $i > $i > $i).
% 5.79/1.21 thf(func_def_378, type, omegaS: $i > $i).
% 5.79/1.21 thf(func_def_382, type, peano3: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_383, type, peano4: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_384, type, peano5: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_386, type, peano: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_387, type, transitiveset: $i > $o).
% 5.79/1.21 thf(func_def_392, type, stricttotalorderedByIn: $i > $o).
% 5.79/1.21 thf(func_def_393, type, wellorderedByIn: $i > $o).
% 5.79/1.21 thf(func_def_394, type, ordinal: $i > $o).
% 5.79/1.21 thf(func_def_395, type, limitOrdinal: $i > $o).
% 5.79/1.21 thf(func_def_412, type, sP0: $i > $i > $o).
% 5.79/1.21 thf(func_def_414, type, sP2: $i > ($i > $o) > $o).
% 5.79/1.21 thf(func_def_416, type, sP4: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_417, type, sP5: $i > $i > $o).
% 5.79/1.21 thf(func_def_418, type, sP6: $i > $o).
% 5.79/1.21 thf(func_def_419, type, sP7: $i > $i > $o).
% 5.79/1.21 thf(func_def_420, type, sP8: $i > $i > $o).
% 5.79/1.21 thf(func_def_421, type, sP9: $i > $i > $o).
% 5.79/1.21 thf(func_def_423, type, sP11: ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_424, type, sP12: ($i > $o) > $i > $i > $o).
% 5.79/1.21 thf(func_def_425, type, sP13: ($i > $o) > $i > $i > $o).
% 5.79/1.21 thf(func_def_426, type, sP14: ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_428, type, sP16: $i > $i > ($i > $i) > $o).
% 5.79/1.21 thf(func_def_431, type, sP19: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_433, type, sP21: $i > $i > ($i > $i > $o) > $o).
% 5.79/1.21 thf(func_def_434, type, sP22: $i > ($i > $i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_435, type, sP23: $i > $i > $o > $o).
% 5.79/1.21 thf(func_def_436, type, sP24: $i > ($i > $i) > $i > $o).
% 5.79/1.21 thf(func_def_438, type, sP26: ($i > $o) > $o).
% 5.79/1.21 thf(func_def_440, type, sP28: $i > ($i > $o) > ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_441, type, sP29: $o > $i > $i > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_442, type, sP30: $i > $i > $o > $o).
% 5.79/1.21 thf(func_def_443, type, sP31: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_444, type, sP32: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_445, type, sP33: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_446, type, sP34: ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_448, type, sP36: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_451, type, sP39: $o > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_452, type, sP40: $i > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_453, type, sP41: $i > $i > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_454, type, sP42: $i > $i > ($i > $i) > $o).
% 5.79/1.21 thf(func_def_456, type, sP44: ($i > $o) > $o).
% 5.79/1.21 thf(func_def_458, type, sP46: $i > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_459, type, sP47: $i > $i > $o).
% 5.79/1.21 thf(func_def_461, type, sP49: $i > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_462, type, sP50: $i > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_463, type, sP51: $i > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_464, type, sP52: ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_465, type, sP53: $i > $i > ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_466, type, sP54: $i > $o > $i > $i > $o).
% 5.79/1.21 thf(func_def_467, type, sP55: $i > $i > $i > $o > $o).
% 5.79/1.21 thf(func_def_468, type, sP56: $i > ($i > $o) > $o).
% 5.79/1.21 thf(func_def_470, type, sP58: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_471, type, sP59: $i > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_472, type, sP60: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_473, type, sP61: ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_475, type, sP63: ($i > $o) > $o).
% 5.79/1.21 thf(func_def_476, type, sP64: $i > $i > ($i > $i) > $o).
% 5.79/1.21 thf(func_def_478, type, sP66: ($i > $i) > $i > $i > $o).
% 5.79/1.21 thf(func_def_481, type, sP69: $i > $o).
% 5.79/1.21 thf(func_def_482, type, sP70: $i > ($i > $o) > $o).
% 5.79/1.21 thf(func_def_483, type, sP71: ($i > $o) > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_486, type, sP74: ($i > $o) > $o).
% 5.79/1.21 thf(func_def_487, type, sP75: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_488, type, sP76: ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_490, type, sP78: $i > $i > $o > $o).
% 5.79/1.21 thf(func_def_492, type, sP80: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_493, type, sP81: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_494, type, sP82: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_495, type, sP83: $i > $i > $o).
% 5.79/1.21 thf(func_def_497, type, sP85: $i > ($i > $o) > $o).
% 5.79/1.21 thf(func_def_498, type, sP86: ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_499, type, sP87: ($i > $o) > $o).
% 5.79/1.21 thf(func_def_503, type, sP91: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_504, type, sP92: ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_505, type, sP93: ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_506, type, sP94: ($i > $i > $o) > $i > $i > $o).
% 5.79/1.21 thf(func_def_507, type, sP95: ($i > $i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_509, type, sP97: $i > $i > $o > $o).
% 5.79/1.21 thf(func_def_510, type, sP98: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_512, type, sP100: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_514, type, sP102: ($i > $o) > $i > $o).
% 5.79/1.21 thf(func_def_515, type, sP103: ($i > $o) > $i > $i > $o).
% 5.79/1.21 thf(func_def_516, type, sP104: $i > $o).
% 5.79/1.21 thf(func_def_517, type, sP105: $i > $o).
% 5.79/1.21 thf(func_def_533, type, sK121: $i > $i > $i).
% 5.79/1.21 thf(func_def_547, type, sK135: $i > $o).
% 5.79/1.21 thf(func_def_549, type, sK137: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_550, type, sK138: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_554, type, sK142: $i > $i > $i).
% 5.79/1.21 thf(func_def_555, type, sK143: $i > $i > $i).
% 5.79/1.21 thf(func_def_556, type, sK144: $i > $i > $i).
% 5.79/1.21 thf(func_def_557, type, sK145: $i > $i > $i).
% 5.79/1.21 thf(func_def_558, type, sK146: $i > $i > $i).
% 5.79/1.21 thf(func_def_559, type, sK147: $i > $i > $i).
% 5.79/1.21 thf(func_def_560, type, sK148: $i > $i > $i).
% 5.79/1.21 thf(func_def_561, type, sK149: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_562, type, sK150: $i > $i).
% 5.79/1.21 thf(func_def_563, type, sK151: $i > $i).
% 5.79/1.21 thf(func_def_564, type, sK152: $i > $i).
% 5.79/1.21 thf(func_def_565, type, sK153: $i > $i).
% 5.79/1.21 thf(func_def_566, type, sK154: $i > $i > $i).
% 5.79/1.21 thf(func_def_567, type, sK155: $i > $i > $i).
% 5.79/1.21 thf(func_def_568, type, sK156: $i > $i > $i).
% 5.79/1.21 thf(func_def_569, type, sK157: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_570, type, sK158: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_572, type, sK160: $i > $i).
% 5.79/1.21 thf(func_def_597, type, sK185: $i > $i > $i).
% 5.79/1.21 thf(func_def_613, type, sK201: ($i > $o) > $i > $i > $i).
% 5.79/1.21 thf(func_def_614, type, sK202: ($i > $o) > $i > $i > $i).
% 5.79/1.21 thf(func_def_615, type, sK203: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_618, type, sK206: $i > $o).
% 5.79/1.21 thf(func_def_627, type, sK215: $i > $o).
% 5.79/1.21 thf(func_def_633, type, sK221: $i > $o).
% 5.79/1.21 thf(func_def_653, type, sK241: $i > $o).
% 5.79/1.21 thf(func_def_666, type, sK254: ($i > $o) > $i > $i > $i).
% 5.79/1.21 thf(func_def_668, type, sK256: $i > $o).
% 5.79/1.21 thf(func_def_670, type, sK258: $i > $o).
% 5.79/1.21 thf(func_def_672, type, sK260: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_673, type, sK261: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_683, type, sK271: $i > $i).
% 5.79/1.21 thf(func_def_684, type, sK272: ($i > $i) > $i > $i > $i).
% 5.79/1.21 thf(func_def_685, type, sK273: $i > $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_704, type, sK292: $i > $o).
% 5.79/1.21 thf(func_def_709, type, sK297: $i > $i).
% 5.79/1.21 thf(func_def_712, type, sK300: $i > $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_720, type, sK308: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_726, type, sK314: $i > $i > $i).
% 5.79/1.21 thf(func_def_745, type, sK333: $i > ($i > $i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_746, type, sK334: $i > ($i > $i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_747, type, sK335: $i > $i > ($i > $i > $o) > $i).
% 5.79/1.21 thf(func_def_748, type, sK336: $i > $i > ($i > $i > $o) > $i).
% 5.79/1.21 thf(func_def_751, type, sK339: $i > $i > $o).
% 5.79/1.21 thf(func_def_754, type, sK342: ($i > $o) > $i).
% 5.79/1.21 thf(func_def_755, type, sK343: $i > $o).
% 5.79/1.21 thf(func_def_766, type, sK354: $i > $i > $o > $i).
% 5.79/1.21 thf(func_def_772, type, sK360: $i > $i).
% 5.79/1.21 thf(func_def_781, type, sK369: $i > $i).
% 5.79/1.21 thf(func_def_784, type, sK372: $i > ($i > $i) > $i > $i).
% 5.79/1.21 thf(func_def_792, type, sK380: $i > $i > $o).
% 5.79/1.21 thf(func_def_796, type, sK384: ($i > $o) > $i).
% 5.79/1.21 thf(func_def_797, type, sK385: ($i > $o) > $i).
% 5.79/1.21 thf(func_def_798, type, sK386: $i > $o).
% 5.79/1.21 thf(func_def_809, type, sK397: $i > $i).
% 5.79/1.21 thf(func_def_812, type, sK400: $i > $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_824, type, sK412: $i > ($i > $o) > ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_825, type, sK413: $i > ($i > $o) > ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_828, type, sK416: $i > $o).
% 5.79/1.21 thf(func_def_829, type, sK417: $i > $o).
% 5.79/1.21 thf(func_def_848, type, sK436: $o > $i > $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_858, type, sK446: $i > $o).
% 5.79/1.21 thf(func_def_867, type, sK455: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_887, type, sK475: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_888, type, sK476: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_889, type, sK477: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_890, type, sK478: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_894, type, sK482: $i > $o).
% 5.79/1.21 thf(func_def_914, type, sK502: $i > $o).
% 5.79/1.21 thf(func_def_916, type, sK504: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_917, type, sK505: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_936, type, sK524: $i > $o).
% 5.79/1.21 thf(func_def_937, type, sK525: $i > $o).
% 5.79/1.21 thf(func_def_938, type, sK526: ($i > $o) > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_939, type, sK527: ($i > $o) > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_966, type, sK554: $i > $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_997, type, sK585: $i > $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1017, type, sK605: $i > $i).
% 5.79/1.21 thf(func_def_1018, type, sK606: ($i > $i) > $i > $i > $i).
% 5.79/1.21 thf(func_def_1019, type, sK607: $i > $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_1024, type, sK612: ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1025, type, sK613: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1026, type, sK614: $i > $o).
% 5.79/1.21 thf(func_def_1028, type, sK616: $i > $i).
% 5.79/1.21 thf(func_def_1039, type, sK627: $i > $o).
% 5.79/1.21 thf(func_def_1057, type, sK645: $i > $o).
% 5.79/1.21 thf(func_def_1059, type, sK647: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1060, type, sK648: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1086, type, sK674: $i > $i > $i).
% 5.79/1.21 thf(func_def_1094, type, sK682: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1095, type, sK683: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1096, type, sK684: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1097, type, sK685: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1102, type, sK690: $i > $i).
% 5.79/1.21 thf(func_def_1104, type, sK692: $i > $i).
% 5.79/1.21 thf(func_def_1112, type, sK700: $i > $i > $i).
% 5.79/1.21 thf(func_def_1127, type, sK715: $i > $i > $o).
% 5.79/1.21 thf(func_def_1142, type, sK730: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1155, type, sK743: $i > $i > ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1156, type, sK744: $i > $i > ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1157, type, sK745: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1161, type, sK749: $i > $o).
% 5.79/1.21 thf(func_def_1167, type, sK755: $i > $o).
% 5.79/1.21 thf(func_def_1168, type, sK756: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1169, type, sK757: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1170, type, sK758: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1177, type, sK765: $i > $o).
% 5.79/1.21 thf(func_def_1180, type, sK768: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1181, type, sK769: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1182, type, sK770: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1183, type, sK771: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1188, type, sK776: $i > $o).
% 5.79/1.21 thf(func_def_1189, type, sK777: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1190, type, sK778: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1214, type, sK802: $i > $i > $o).
% 5.79/1.21 thf(func_def_1229, type, sK817: ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1230, type, sK818: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1231, type, sK819: $i > $o).
% 5.79/1.21 thf(func_def_1237, type, sK825: $i > $i).
% 5.79/1.21 thf(func_def_1240, type, sK828: $i > $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_1241, type, sK829: $i > $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_1242, type, sK830: $i > $i > $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_1243, type, sK831: $i > $i).
% 5.79/1.21 thf(func_def_1245, type, sK833: $i > $i).
% 5.79/1.21 thf(func_def_1246, type, sK834: $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_1247, type, sK835: ($i > $i) > $i > $i > $i).
% 5.79/1.21 thf(func_def_1254, type, sK842: $i > $o).
% 5.79/1.21 thf(func_def_1255, type, sK843: $i > $o).
% 5.79/1.21 thf(func_def_1256, type, sK844: ($i > $o) > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1257, type, sK845: ($i > $o) > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1263, type, sK851: $i > $i > $i).
% 5.79/1.21 thf(func_def_1264, type, sK852: $i > $i).
% 5.79/1.21 thf(func_def_1267, type, sK855: $i > $o).
% 5.79/1.21 thf(func_def_1273, type, sK861: $i > $i).
% 5.79/1.21 thf(func_def_1275, type, sK863: ($i > $o) > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1276, type, sK864: ($i > $o) > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1277, type, sK865: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1281, type, sK869: $i > $o).
% 5.79/1.21 thf(func_def_1288, type, sK876: $i > $i > $i).
% 5.79/1.21 thf(func_def_1291, type, sK879: $i > $i).
% 5.79/1.21 thf(func_def_1292, type, sK880: ($i > $i) > $i > $i > $i).
% 5.79/1.21 thf(func_def_1297, type, sK885: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1298, type, sK886: ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1299, type, sK887: $i > $o).
% 5.79/1.21 thf(func_def_1304, type, sK892: $i > $i > $o).
% 5.79/1.21 thf(func_def_1308, type, sK896: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1309, type, sK897: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1313, type, sK901: $i > $o).
% 5.79/1.21 thf(func_def_1315, type, sK903: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1316, type, sK904: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1328, type, sK916: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1329, type, sK917: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1333, type, sK921: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1334, type, sK922: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1343, type, sK931: $i > $i > $i).
% 5.79/1.21 thf(func_def_1344, type, sK932: $i > $i > $i).
% 5.79/1.21 thf(func_def_1351, type, sK939: $i > $i > $o).
% 5.79/1.21 thf(func_def_1370, type, sK958: $i > $o).
% 5.79/1.21 thf(func_def_1385, type, sK973: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1386, type, sK974: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1387, type, sK975: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1388, type, sK976: $i > $o).
% 5.79/1.21 thf(func_def_1390, type, sK978: $i > ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1391, type, sK979: ($i > $o) > $i).
% 5.79/1.21 thf(func_def_1392, type, sK980: $i > $o).
% 5.79/1.21 thf(func_def_1393, type, sK981: $i > $i > $o).
% 5.79/1.21 thf(func_def_1415, type, sK1003: $i > $i).
% 5.79/1.21 thf(func_def_1418, type, sK1006: $i > $i > ($i > $i) > $i).
% 5.79/1.21 thf(func_def_1423, type, sK1011: $i > $o).
% 5.79/1.21 thf(func_def_1424, type, sK1012: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1435, type, sK1023: $i > $i > $o).
% 5.79/1.21 thf(func_def_1446, type, sK1034: $i > $i).
% 5.79/1.21 thf(func_def_1450, type, sK1038: $i > $i > $i).
% 5.79/1.21 thf(func_def_1459, type, sK1047: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1460, type, sK1048: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1464, type, sK1052: $i > $o).
% 5.79/1.21 thf(func_def_1467, type, sK1055: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1468, type, sK1056: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1469, type, sK1057: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1471, type, sK1059: $i > $o).
% 5.79/1.21 thf(func_def_1489, type, sK1077: $i > $i > $o).
% 5.79/1.21 thf(func_def_1504, type, sK1092: $i > $i > $o).
% 5.79/1.21 thf(func_def_1505, type, sK1093: ($i > $i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1506, type, sK1094: $i > ($i > $i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1507, type, sK1095: ($i > $i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1508, type, sK1096: ($i > $i > $o) > $i > $i > $i).
% 5.79/1.21 thf(func_def_1518, type, sK1106: $i > $i > $i > $o).
% 5.79/1.21 thf(func_def_1519, type, sK1107: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1530, type, sK1118: $i > $i).
% 5.79/1.21 thf(func_def_1546, type, sK1134: $i > $i > $i).
% 5.79/1.21 thf(func_def_1547, type, sK1135: $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1548, type, sK1136: $i > $i > $i > $i > $i).
% 5.79/1.21 thf(func_def_1553, type, sK1141: $i > $i).
% 5.79/1.21 thf(func_def_1555, type, sK1143: $i > ($i > $i) > $i > $i).
% 5.79/1.21 thf(func_def_1558, type, sK1146: $i > $o).
% 5.79/1.21 thf(func_def_1563, type, sK1151: ($i > $o) > $i > $i > $i).
% 5.79/1.21 thf(func_def_1564, type, sK1152: ($i > $o) > $i > $i > $i).
% 5.79/1.21 thf(func_def_1565, type, sK1153: ($i > $o) > $i > $i).
% 5.79/1.21 thf(func_def_1568, type, sK1156: $i > $o).
% 5.79/1.21 thf(func_def_1579, type, sK1167: $i > $i).
% 5.79/1.21 thf(func_def_1580, type, sK1168: $i > $i).
% 5.79/1.21 thf(func_def_1599, type, sK1187: $i > $i).
% 5.79/1.21 thf(func_def_1605, type, ph1193: !>[X0: $tType]:(X0)).
% 5.79/1.21 thf(f10263,plain,(
% 5.79/1.21 $false),
% 5.79/1.21 inference(subsumption_resolution,[],[f10260,f4612])).
% 5.79/1.21 thf(f4612,plain,(
% 5.79/1.21 ($true = (in @ sK639 @ sK637))),
% 5.79/1.21 inference(cnf_transformation,[],[f2584])).
% 5.79/1.21 thf(f2584,plain,(
% 5.79/1.21 (powersetTI1 = $true) & (omegaSp = $true) & (ifp = $true) & (binintersectTELcontra = $true) & (exuEu = $true) & (iffalse = $true) & (cartprodpairmemEL = $true) & (binunionIL = $true) & (exuE1 = $true) & (theprop = $true) & (symdiffIneg2 = $true) & (subsetRefl = $true) & (cartprodmempair1 = $true) & (eta1 = $true) & (cartprodpairin = $true) & (omega__Cong = $true) & (demorgan2a = $true) & (uniqinunit = $true) & (symdiffIneg1 = $true) & (omegaSAx = $true) & (setminusSubset1 = $true) & (powersetE1 = $true) & (breln1invprop = $true) & (setminusSubset2 = $true) & (omegaIndAx = $true) & (setadjoinIR = $true) & (kfstsingleton = $true) & (symdiffI1 = $true) & (notinself2 = $true) & (exuI2 = $true) & (image1Equiv = $true) & (demorgan2 = $true) & (iftrueProp2 = $true) & (replAx = $true) & (powersetI1 = $true) & (breln1unionprop = $true) & (prop2set2propI = $true) & (emptyinPowerset = $true) & (quantDeMorgan3 = $true) & (wellorderingAx = $true) & (injFuncSetFuncInj = $true) & (funcGraphProp2 = $true) & (doubleComplementSub1 = $true) & (binunionTIRcontra = $true) & (ex1I2 = $true) & (inIntersectImpInUnion = $true) & (lamProp = $true) & (image1Ex = $true) & (breln1compprop = $true) & (setunionsingleton1 = $true) & (symdiffI2 = $true) & (leftInvIsSurj = $true) & (setukpairinjL = $true) & (notinself = $true) & (binunionEcases = $true) & (woz1_4 = $true) & (demorgan1b = $true) & (exuE3e = $true) & (foundationAx = $true) & (setukpairinjR2 = $true) & (setukpairIR = $true) & (singletonsubset = $true) & (theeq = $true) & (setadjoin__Cong = $true) & (upairequniteq = $true) & (complementUnionInPowersetComplement = $true) & (nonemptyImpWitness = $true) & (surjFuncSetFuncSurj = $true) & (setminusER = $true) & (upairinpowunion = $true) & (setminusT_lem = $true) & (subsetE = $true) & (inPowerset = $true) & (quantDeMorgan1 = $true) & (ap2p = $true) & (setoftrueEq = $true) & (cartprodfstpairEq = $true) & (dpsetconstrER = $true) & (symdiffE = $true) & (binunionT_lem = $true) & (eqinunit = $true) & (contrasubsetT = $true) & (iftrueProp1 = $true) & (nonemptyI = $true) & (in__Cong = $true) & (woz13rule2 = $true) & (($true = (ordinal @ sK637)) & (($true != (in @ sK638 @ sK637)) & ($true = (in @ sK639 @ sK637)) & ($true = (in @ sK638 @ sK639)))) & (woz13rule0 = $true) & (exuI1 = $true) & (ordinalMinLem1 = $true) & (beta1 = $true) & (eqimpsubset2 = $true) & (binintersectSubset4 = $true) & (dpsetconstrERa = $true) & (binintersectSubset5 = $true) & (dsetconstr__Cong = $true) & (woz1_5 = $true) & (disjointsetsI1 = $true) & (peanoSinj = $true) & (inComplementUnionImpNotIn1 = $true) & (binintersectSubset1 = $true) & (exuI3 = $true) & (transitivesetOp2 = $true) & (setadjoinSub2 = $true) & (binunionTILcontra = $true) & (secondinupair = $true) & (setadjoinIL = $true) & (binintersectTERcontra = $true) & (complementT_lem = $true) & (setunionE2 = $true) & (inComplementUnionImpInComplement1 = $true) & (injFuncInInjFuncSet = $true) & (binintersectSubset3 = $true) & (ubforcartprodlem3 = $true) & (singletonsuniq = $true) & (setunion__Cong = $true) & (breln1unionIR = $true) & (demorgan2a2 = $true) & (transitivesetOp1 = $true) & (setminusEL = $true) & (setadjoinE = $true) & (complementTnotintersectT = $true) & (setunionAx = $true) & (doubleComplementE1 = $true) & (powersetI = $true) & (breln1invE = $true) & (binunionIR = $true) & (eqimpsubset1 = $true) & (exuE3u = $true) & (bs114d = $true) & (cartprodmempair = $true) & (nonemptyI1 = $true) & (iffalseProp1 = $true) & (ex1I = $true) & (setukpairinjR1 = $true) & (binintersectRsub = $true) & (dpsetconstrEL2 = $true) & (setextsub = $true) & (setminusLsub = $true) & (doubleComplementI1 = $true) & (breln1unionCommutes = $true) & (breln1unionEcases = $true) & (breln1all2 = $true) & (cartprodsndpairEq = $true) & (breln1unionIL = $true) & (kfstpairEq = $true) & (woz2A = $true) & (lamp = $true) & (breln1compI = $true) & (demorgan1 = $true) & (woz13rule1 = $true) & (image1Ex1 = $true) & (emptysetE = $true) & (injFuncSetFuncIn = $true) & (kpairp = $true) & (breln1unionE = $true) & (upairsetIL = $true) & (upairset2IR = $true) & (binintersectSubset2 = $true) & (contrasubsetT1 = $true) & (setadjoinOr = $true) & (subsetTI = $true) & (cartprodpairsurjEq = $true) & (woz2W = $true) & (quantDeMorgan4 = $true) & (binintersectER = $true) & (setukpairinjL2 = $true) & (emptyset__Cong = $true) & (complementSubsetComplementIntersect = $true) & (binunionRsub = $true) & (iftrueorfalse = $true) & (choice2fnsingleton = $true) & (binunionLsub = $true) & (setadjoinSub = $true) & (dpsetconstrSub = $true) & (intersectInPowersetIntersectUnions = $true) & (notsubsetI = $true) & (inIntersectImpInUnion2 = $true) & (powersetE = $true) & (woz2Ex = $true) & (contrasubsetT3 = $true) & (setminusELneg = $true) & (doubleComplementEq = $true) & (nonemptyE1 = $true) & (iftrue = $true) & (binintersectT_lem = $true) & (setukpairinjR12 = $true) & (setunionsingleton = $true) & (ubforcartprodlem2 = $true) & (subbreln1 = $true) & (binunionTE = $true) & (funcinfuncset = $true) & (notdexE = $true) & (subsetI1 = $true) & (sepSubset = $true) & (setext = $true) & (contrasubsetT2 = $true) & (setunionE = $true) & (contraSubsetComplement = $true) & (image1I = $true) & (emptyinunitempty = $true) & (surjFuncSetFuncIn = $true) & (ubforcartprodlem1 = $true) & (dpsetconstrI = $true) & (inIntersectImpInIntersectUnions = $true) & (dsetconstrER = $true) & (surjCantorThm = $true) & (quantDeMorgan2 = $true) & (eqbreln = $true) & (setukpairinjR11 = $true) & (demorgan2b2 = $true) & (binintersectLsub = $true) & (cartprodfstin = $true) & (ap2apEq2 = $true) & (powersetAx = $true) & (notequalI1 = $true) & (app = $true) & (binintersectI = $true) & (emptyI = $true) & (demorgan1a = $true) & (powersetT_lem = $true) & (lam2lamEq = $true) & (setukpairIL = $true) & (exuE2 = $true) & (prop2setI = $true) & (funcext = $true) & (complementTE1 = $true) & (funcext2 = $true) & (notinsingleton = $true) & (setextT = $true) & (complementTcontraSubset = $true) & (demorgan2a1 = $true) & (setOfPairsIsBReln = $true) & (descr__Cong = $true) & (singletonprop = $true) & (demorgan2b = $true) & (subset2powerset = $true) & (kpairiskpair = $true) & (upairsubunion = $true) & (exu__Cong = $true) & (setadjoinAx = $true) & (subPowSU = $true) & (funcGraphProp1 = $true) & (complementImpComplementIntersect = $true) & (peano0notS = $true) & (apProp = $true) & (subsetI2 = $true) & (setminusI = $true) & (funcGraphProp3 = $true) & (emptysetsubset = $true) & (subbreln = $true) & (funcextLem = $true) & (subsetemptysetimpeq = $true) & (cartprodsndin = $true) & (descrp = $true) & (ap2apEq1 = $true) & (upairset2E = $true) & (breln1compE = $true) & (setunionsingleton2 = $true) & (prop2setE = $true) & (beta2 = $true) & (woz1_3 = $true) & (cartprodpairmemER = $true) & (emptysetimpfalse = $true) & (eqbreln1 = $true) & (eta2 = $true) & (emptyInPowerset = $true) & (setextAx = $true) & (kpairsurjEq = $true) & (setukpairinjR = $true) & (setminusILneg = $true) & (upairsetIR = $true) & (lam2p = $true) & (setunionI = $true) & (ifSingleton = $true) & (complementTI1 = $true) & (subsetE2 = $true) & (binunionE = $true) & (cartprodmempaircEq = $true) & (subsetTrans = $true) & (setbeta = $true) & (emptysetAx = $true) & (upairsetE = $true) & (setminusERneg = $true) & (woz13rule4 = $true) & (vacuousDall = $true) & (woz1_2 = $true) & (foundation2 = $true) & (infuncsetfunc = $true) & (brelnall1 = $true) & (funcGraphProp4 = $true) & (singletoninpowerset = $true) & (ksndpairEq = $true) & (iffalseProp2 = $true) & (dpsetconstrEL1 = $true) & (powersetTE1 = $true) & (noeltsimpempty = $true) & (ksndsingleton = $true) & (inCongP = $true) & (notequalI2 = $true) & (brelnall2 = $true) & (singletonsswitch = $true) & (ex1E2 = $true) & (setOfPairsIsBReln1 = $true) & (binunionTEcontra = $true) & (setminusIRneg = $true) & (powerset__Cong = $true) & (dsetconstrEL = $true) & (notinemptyset = $true) & (setukpairinjL1 = $true) & (breln1invI = $true) & (omega0Ax = $true) & (binintTransitive = $true) & (notdallE = $true) & (powersetsubset = $true) & (woz2B = $true) & (dsetconstrI = $true) & (sepInPowerset = $true) & (singletoninpowunion = $true) & (image1E = $true) & (breln1unionI = $true) & (complementInPowersetComplementIntersect = $true) & (ex1E1 = $true) & (binintersectEL = $true) & (funcImageSingleton = $true) & (breln1SetBreln1 = $true) & (woz13rule3 = $true) & (setunionTransitive = $true) & (omegaSclos = $true) & (woz1_1 = $true) & (doubleComplementSub2 = $true) & (emptyE1 = $true) & (breln1all1 = $true) & (breln1compEex = $true)),
% 5.79/1.21 inference(skolemisation,[status(esa),new_symbols(skolem,[sK637,sK638,sK639])],[f1078,f2583,f2582])).
% 5.79/1.21 thf(f2582,plain,(
% 5.79/1.21 ? [X0] : (($true = (ordinal @ X0)) & ? [X1,X2] : (($true != (in @ X1 @ X0)) & ($true = (in @ X2 @ X0)) & ($true = (in @ X1 @ X2)))) => (($true = (ordinal @ sK637)) & ? [X2,X1] : (($true != (in @ X1 @ sK637)) & ($true = (in @ X2 @ sK637)) & ($true = (in @ X1 @ X2))))),
% 5.79/1.21 introduced(choice_axiom,[])).
% 5.79/1.21 thf(f2583,plain,(
% 5.79/1.21 ? [X2,X1] : (($true != (in @ X1 @ sK637)) & ($true = (in @ X2 @ sK637)) & ($true = (in @ X1 @ X2))) => (($true != (in @ sK638 @ sK637)) & ($true = (in @ sK639 @ sK637)) & ($true = (in @ sK638 @ sK639)))),
% 5.79/1.21 introduced(choice_axiom,[])).
% 5.79/1.21 thf(f1078,plain,(
% 5.79/1.21 (powersetTI1 = $true) & (omegaSp = $true) & (ifp = $true) & (binintersectTELcontra = $true) & (exuEu = $true) & (iffalse = $true) & (cartprodpairmemEL = $true) & (binunionIL = $true) & (exuE1 = $true) & (theprop = $true) & (symdiffIneg2 = $true) & (subsetRefl = $true) & (cartprodmempair1 = $true) & (eta1 = $true) & (cartprodpairin = $true) & (omega__Cong = $true) & (demorgan2a = $true) & (uniqinunit = $true) & (symdiffIneg1 = $true) & (omegaSAx = $true) & (setminusSubset1 = $true) & (powersetE1 = $true) & (breln1invprop = $true) & (setminusSubset2 = $true) & (omegaIndAx = $true) & (setadjoinIR = $true) & (kfstsingleton = $true) & (symdiffI1 = $true) & (notinself2 = $true) & (exuI2 = $true) & (image1Equiv = $true) & (demorgan2 = $true) & (iftrueProp2 = $true) & (replAx = $true) & (powersetI1 = $true) & (breln1unionprop = $true) & (prop2set2propI = $true) & (emptyinPowerset = $true) & (quantDeMorgan3 = $true) & (wellorderingAx = $true) & (injFuncSetFuncInj = $true) & (funcGraphProp2 = $true) & (doubleComplementSub1 = $true) & (binunionTIRcontra = $true) & (ex1I2 = $true) & (inIntersectImpInUnion = $true) & (lamProp = $true) & (image1Ex = $true) & (breln1compprop = $true) & (setunionsingleton1 = $true) & (symdiffI2 = $true) & (leftInvIsSurj = $true) & (setukpairinjL = $true) & (notinself = $true) & (binunionEcases = $true) & (woz1_4 = $true) & (demorgan1b = $true) & (exuE3e = $true) & (foundationAx = $true) & (setukpairinjR2 = $true) & (setukpairIR = $true) & (singletonsubset = $true) & (theeq = $true) & (setadjoin__Cong = $true) & (upairequniteq = $true) & (complementUnionInPowersetComplement = $true) & (nonemptyImpWitness = $true) & (surjFuncSetFuncSurj = $true) & (setminusER = $true) & (upairinpowunion = $true) & (setminusT_lem = $true) & (subsetE = $true) & (inPowerset = $true) & (quantDeMorgan1 = $true) & (ap2p = $true) & (setoftrueEq = $true) & (cartprodfstpairEq = $true) & (dpsetconstrER = $true) & (symdiffE = $true) & (binunionT_lem = $true) & (eqinunit = $true) & (contrasubsetT = $true) & (iftrueProp1 = $true) & (nonemptyI = $true) & (in__Cong = $true) & (woz13rule2 = $true) & ? [X0] : (($true = (ordinal @ X0)) & ? [X1,X2] : (($true != (in @ X1 @ X0)) & ($true = (in @ X2 @ X0)) & ($true = (in @ X1 @ X2)))) & (woz13rule0 = $true) & (exuI1 = $true) & (ordinalMinLem1 = $true) & (beta1 = $true) & (eqimpsubset2 = $true) & (binintersectSubset4 = $true) & (dpsetconstrERa = $true) & (binintersectSubset5 = $true) & (dsetconstr__Cong = $true) & (woz1_5 = $true) & (disjointsetsI1 = $true) & (peanoSinj = $true) & (inComplementUnionImpNotIn1 = $true) & (binintersectSubset1 = $true) & (exuI3 = $true) & (transitivesetOp2 = $true) & (setadjoinSub2 = $true) & (binunionTILcontra = $true) & (secondinupair = $true) & (setadjoinIL = $true) & (binintersectTERcontra = $true) & (complementT_lem = $true) & (setunionE2 = $true) & (inComplementUnionImpInComplement1 = $true) & (injFuncInInjFuncSet = $true) & (binintersectSubset3 = $true) & (ubforcartprodlem3 = $true) & (singletonsuniq = $true) & (setunion__Cong = $true) & (breln1unionIR = $true) & (demorgan2a2 = $true) & (transitivesetOp1 = $true) & (setminusEL = $true) & (setadjoinE = $true) & (complementTnotintersectT = $true) & (setunionAx = $true) & (doubleComplementE1 = $true) & (powersetI = $true) & (breln1invE = $true) & (binunionIR = $true) & (eqimpsubset1 = $true) & (exuE3u = $true) & (bs114d = $true) & (cartprodmempair = $true) & (nonemptyI1 = $true) & (iffalseProp1 = $true) & (ex1I = $true) & (setukpairinjR1 = $true) & (binintersectRsub = $true) & (dpsetconstrEL2 = $true) & (setextsub = $true) & (setminusLsub = $true) & (doubleComplementI1 = $true) & (breln1unionCommutes = $true) & (breln1unionEcases = $true) & (breln1all2 = $true) & (cartprodsndpairEq = $true) & (breln1unionIL = $true) & (kfstpairEq = $true) & (woz2A = $true) & (lamp = $true) & (breln1compI = $true) & (demorgan1 = $true) & (woz13rule1 = $true) & (image1Ex1 = $true) & (emptysetE = $true) & (injFuncSetFuncIn = $true) & (kpairp = $true) & (breln1unionE = $true) & (upairsetIL = $true) & (upairset2IR = $true) & (binintersectSubset2 = $true) & (contrasubsetT1 = $true) & (setadjoinOr = $true) & (subsetTI = $true) & (cartprodpairsurjEq = $true) & (woz2W = $true) & (quantDeMorgan4 = $true) & (binintersectER = $true) & (setukpairinjL2 = $true) & (emptyset__Cong = $true) & (complementSubsetComplementIntersect = $true) & (binunionRsub = $true) & (iftrueorfalse = $true) & (choice2fnsingleton = $true) & (binunionLsub = $true) & (setadjoinSub = $true) & (dpsetconstrSub = $true) & (intersectInPowersetIntersectUnions = $true) & (notsubsetI = $true) & (inIntersectImpInUnion2 = $true) & (powersetE = $true) & (woz2Ex = $true) & (contrasubsetT3 = $true) & (setminusELneg = $true) & (doubleComplementEq = $true) & (nonemptyE1 = $true) & (iftrue = $true) & (binintersectT_lem = $true) & (setukpairinjR12 = $true) & (setunionsingleton = $true) & (ubforcartprodlem2 = $true) & (subbreln1 = $true) & (binunionTE = $true) & (funcinfuncset = $true) & (notdexE = $true) & (subsetI1 = $true) & (sepSubset = $true) & (setext = $true) & (contrasubsetT2 = $true) & (setunionE = $true) & (contraSubsetComplement = $true) & (image1I = $true) & (emptyinunitempty = $true) & (surjFuncSetFuncIn = $true) & (ubforcartprodlem1 = $true) & (dpsetconstrI = $true) & (inIntersectImpInIntersectUnions = $true) & (dsetconstrER = $true) & (surjCantorThm = $true) & (quantDeMorgan2 = $true) & (eqbreln = $true) & (setukpairinjR11 = $true) & (demorgan2b2 = $true) & (binintersectLsub = $true) & (cartprodfstin = $true) & (ap2apEq2 = $true) & (powersetAx = $true) & (notequalI1 = $true) & (app = $true) & (binintersectI = $true) & (emptyI = $true) & (demorgan1a = $true) & (powersetT_lem = $true) & (lam2lamEq = $true) & (setukpairIL = $true) & (exuE2 = $true) & (prop2setI = $true) & (funcext = $true) & (complementTE1 = $true) & (funcext2 = $true) & (notinsingleton = $true) & (setextT = $true) & (complementTcontraSubset = $true) & (demorgan2a1 = $true) & (setOfPairsIsBReln = $true) & (descr__Cong = $true) & (singletonprop = $true) & (demorgan2b = $true) & (subset2powerset = $true) & (kpairiskpair = $true) & (upairsubunion = $true) & (exu__Cong = $true) & (setadjoinAx = $true) & (subPowSU = $true) & (funcGraphProp1 = $true) & (complementImpComplementIntersect = $true) & (peano0notS = $true) & (apProp = $true) & (subsetI2 = $true) & (setminusI = $true) & (funcGraphProp3 = $true) & (emptysetsubset = $true) & (subbreln = $true) & (funcextLem = $true) & (subsetemptysetimpeq = $true) & (cartprodsndin = $true) & (descrp = $true) & (ap2apEq1 = $true) & (upairset2E = $true) & (breln1compE = $true) & (setunionsingleton2 = $true) & (prop2setE = $true) & (beta2 = $true) & (woz1_3 = $true) & (cartprodpairmemER = $true) & (emptysetimpfalse = $true) & (eqbreln1 = $true) & (eta2 = $true) & (emptyInPowerset = $true) & (setextAx = $true) & (kpairsurjEq = $true) & (setukpairinjR = $true) & (setminusILneg = $true) & (upairsetIR = $true) & (lam2p = $true) & (setunionI = $true) & (ifSingleton = $true) & (complementTI1 = $true) & (subsetE2 = $true) & (binunionE = $true) & (cartprodmempaircEq = $true) & (subsetTrans = $true) & (setbeta = $true) & (emptysetAx = $true) & (upairsetE = $true) & (setminusERneg = $true) & (woz13rule4 = $true) & (vacuousDall = $true) & (woz1_2 = $true) & (foundation2 = $true) & (infuncsetfunc = $true) & (brelnall1 = $true) & (funcGraphProp4 = $true) & (singletoninpowerset = $true) & (ksndpairEq = $true) & (iffalseProp2 = $true) & (dpsetconstrEL1 = $true) & (powersetTE1 = $true) & (noeltsimpempty = $true) & (ksndsingleton = $true) & (inCongP = $true) & (notequalI2 = $true) & (brelnall2 = $true) & (singletonsswitch = $true) & (ex1E2 = $true) & (setOfPairsIsBReln1 = $true) & (binunionTEcontra = $true) & (setminusIRneg = $true) & (powerset__Cong = $true) & (dsetconstrEL = $true) & (notinemptyset = $true) & (setukpairinjL1 = $true) & (breln1invI = $true) & (omega0Ax = $true) & (binintTransitive = $true) & (notdallE = $true) & (powersetsubset = $true) & (woz2B = $true) & (dsetconstrI = $true) & (sepInPowerset = $true) & (singletoninpowunion = $true) & (image1E = $true) & (breln1unionI = $true) & (complementInPowersetComplementIntersect = $true) & (ex1E1 = $true) & (binintersectEL = $true) & (funcImageSingleton = $true) & (breln1SetBreln1 = $true) & (woz13rule3 = $true) & (setunionTransitive = $true) & (omegaSclos = $true) & (woz1_1 = $true) & (doubleComplementSub2 = $true) & (emptyE1 = $true) & (breln1all1 = $true) & (breln1compEex = $true)),
% 5.79/1.21 inference(flattening,[],[f1077])).
% 5.79/1.21 thf(f1077,plain,(
% 5.79/1.21 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0] : (? [X1,X2] : ((($true != (in @ X1 @ X0)) & ($true = (in @ X1 @ X2))) & ($true = (in @ X2 @ X0))) & ($true = (ordinal @ X0))) & (ordinalMinLem1 = $true)) & (setunionTransitive = $true)) & (transitivesetOp2 = $true)) & (binintTransitive = $true)) & (transitivesetOp1 = $true)) & (peanoSinj = $true)) & (peano0notS = $true)) & (omegaSclos = $true)) & (omegaSp = $true)) & (notinself2 = $true)) & (notinself = $true)) & (foundation2 = $true)) & (surjCantorThm = $true)) & (leftInvIsSurj = $true)) & (surjFuncSetFuncSurj = $true)) & (surjFuncSetFuncIn = $true)) & (injFuncSetFuncInj = $true)) & (injFuncSetFuncIn = $true)) & (injFuncInInjFuncSet = $true)) & (image1I = $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)),
% 5.79/1.21 inference(ennf_transformation,[],[f581])).
% 5.79/1.21 thf(f581,plain,(
% 5.79/1.21 ~((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) => ((image1I = $true) => ((injFuncInInjFuncSet = $true) => ((injFuncSetFuncIn = $true) => ((injFuncSetFuncInj = $true) => ((surjFuncSetFuncIn = $true) => ((surjFuncSetFuncSurj = $true) => ((leftInvIsSurj = $true) => ((surjCantorThm = $true) => ((foundation2 = $true) => ((notinself = $true) => ((notinself2 = $true) => ((omegaSp = $true) => ((omegaSclos = $true) => ((peano0notS = $true) => ((peanoSinj = $true) => ((transitivesetOp1 = $true) => ((binintTransitive = $true) => ((transitivesetOp2 = $true) => ((setunionTransitive = $true) => ((ordinalMinLem1 = $true) => ! [X0] : (($true = (ordinal @ X0)) => ! [X1,X2] : (($true = (in @ X2 @ X0)) => (($true = (in @ X1 @ X2)) => ($true = (in @ X1 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 5.79/1.21 inference(fool_elimination,[],[f580])).
% 5.79/1.21 thf(f580,plain,(
% 5.79/1.21 ~(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 => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => ! [X0] : ((ordinal @ X0) => ! [X1,X2] : ((in @ X2 @ X0) => ((in @ X1 @ X2) => (in @ X1 @ X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 5.79/1.21 inference(rectify,[],[f341])).
% 5.79/1.21 thf(f341,negated_conjecture,(
% 5.79/1.21 ~(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 => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => ! [X11] : ((ordinal @ X11) => ! [X1,X3] : ((in @ X3 @ X11) => ((in @ X1 @ X3) => (in @ X1 @ X11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 5.79/1.21 inference(negated_conjecture,[],[f340])).
% 5.79/1.21 thf(f340,conjecture,(
% 5.79/1.21 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 => (image1I => (injFuncInInjFuncSet => (injFuncSetFuncIn => (injFuncSetFuncInj => (surjFuncSetFuncIn => (surjFuncSetFuncSurj => (leftInvIsSurj => (surjCantorThm => (foundation2 => (notinself => (notinself2 => (omegaSp => (omegaSclos => (peano0notS => (peanoSinj => (transitivesetOp1 => (binintTransitive => (transitivesetOp2 => (setunionTransitive => (ordinalMinLem1 => ! [X11] : ((ordinal @ X11) => ! [X1,X3] : ((in @ X3 @ X11) => ((in @ X1 @ X3) => (in @ X1 @ X11))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 5.79/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinalTransSet)).
% 5.79/1.21 thf(f10260,plain,(
% 5.79/1.21 ($true != (in @ sK639 @ sK637))),
% 5.79/1.21 inference(trivial_inequality_removal,[],[f10237])).
% 5.79/1.21 thf(f10237,plain,(
% 5.79/1.21 ($true != (in @ sK639 @ sK637)) | ($true != $true)),
% 5.79/1.21 inference(superposition,[],[f9745,f4611])).
% 5.79/1.21 thf(f4611,plain,(
% 5.79/1.21 ($true = (in @ sK638 @ sK639))),
% 5.79/1.21 inference(cnf_transformation,[],[f2584])).
% 5.79/1.21 thf(f9745,plain,(
% 5.79/1.21 ( ! [X0 : $i] : (($true != (in @ sK638 @ X0)) | ($true != (in @ X0 @ sK637))) )),
% 5.79/1.21 inference(subsumption_resolution,[],[f9735,f7206])).
% 5.79/1.21 thf(f7206,plain,(
% 5.79/1.21 ($true = (transitiveset @ sK637))),
% 5.79/1.21 inference(binary_proxy_clausification,[],[f7205])).
% 5.79/1.21 thf(f7205,plain,(
% 5.79/1.21 ($true = ((wellorderedByIn @ sK637) & (transitiveset @ sK637)))),
% 5.79/1.21 inference(beta_eta_normalization,[],[f6177])).
% 5.79/1.21 thf(f6177,plain,(
% 5.79/1.21 ($true = ((^[Y0 : $i]: ((wellorderedByIn @ Y0) & (transitiveset @ Y0))) @ sK637))),
% 5.79/1.21 inference(definition_unfolding,[],[f4614,f4829])).
% 5.79/1.21 thf(f4829,plain,(
% 5.79/1.21 (ordinal = (^[Y0 : $i]: ((wellorderedByIn @ Y0) & (transitiveset @ Y0))))),
% 5.79/1.21 inference(cnf_transformation,[],[f513])).
% 5.79/1.21 thf(f513,plain,(
% 5.79/1.21 (ordinal = (^[Y0 : $i]: ((wellorderedByIn @ Y0) & (transitiveset @ Y0))))),
% 5.79/1.21 inference(fool_elimination,[],[f512])).
% 5.79/1.21 thf(f512,plain,(
% 5.79/1.21 (ordinal = (^[X0 : $i] : ((transitiveset @ X0) & (wellorderedByIn @ X0))))),
% 5.79/1.21 inference(rectify,[],[f338])).
% 5.79/1.21 thf(f338,axiom,(
% 5.79/1.21 (ordinal = (^[X1 : $i] : ((transitiveset @ X1) & (wellorderedByIn @ X1))))),
% 5.79/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordinal)).
% 5.79/1.21 thf(f4614,plain,(
% 5.79/1.21 ($true = (ordinal @ sK637))),
% 5.79/1.21 inference(cnf_transformation,[],[f2584])).
% 5.79/1.21 thf(f9735,plain,(
% 5.79/1.21 ( ! [X0 : $i] : (($true != (in @ sK638 @ X0)) | ($true != (transitiveset @ sK637)) | ($true != (in @ X0 @ sK637))) )),
% 5.79/1.21 inference(trivial_inequality_removal,[],[f9688])).
% 5.79/1.21 thf(f9688,plain,(
% 5.79/1.21 ( ! [X0 : $i] : (($true != (in @ X0 @ sK637)) | ($true != (in @ sK638 @ X0)) | ($true != $true) | ($true != (transitiveset @ sK637))) )),
% 5.79/1.21 inference(superposition,[],[f4613,f6984])).
% 5.79/1.21 thf(f6984,plain,(
% 5.79/1.21 ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ X3) = $true) | ($true != (in @ X5 @ X3)) | ($true != (transitiveset @ X3)) | ($true != (in @ X4 @ X5))) )),
% 5.79/1.21 inference(trivial_inequality_removal,[],[f6030])).
% 5.79/1.21 thf(f6030,plain,(
% 5.79/1.21 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (in @ X5 @ X3)) | ($true != (transitiveset @ X3)) | ($true != (in @ X4 @ X5)) | ($true != $true) | ((in @ X4 @ X3) = $true)) )),
% 5.79/1.21 inference(definition_unfolding,[],[f4182,f4595])).
% 5.79/1.21 thf(f4595,plain,(
% 5.79/1.21 (transitivesetOp2 = $true)),
% 5.79/1.21 inference(cnf_transformation,[],[f2584])).
% 5.79/1.21 thf(f4182,plain,(
% 5.79/1.21 ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (transitiveset @ X3)) | ((in @ X4 @ X3) = $true) | ($true != (in @ X4 @ X5)) | ($true != (in @ X5 @ X3)) | (transitivesetOp2 != $true)) )),
% 5.79/1.21 inference(cnf_transformation,[],[f2379])).
% 5.79/1.21 thf(f2379,plain,(
% 5.79/1.21 ((transitivesetOp2 = $true) | (($true = (transitiveset @ sK514)) & (($true != (in @ sK515 @ sK514)) & ($true = (in @ sK515 @ sK516)) & ($true = (in @ sK516 @ sK514))))) & (! [X3] : (($true != (transitiveset @ X3)) | ! [X4,X5] : (((in @ X4 @ X3) = $true) | ($true != (in @ X4 @ X5)) | ($true != (in @ X5 @ X3)))) | (transitivesetOp2 != $true))),
% 5.79/1.21 inference(skolemisation,[status(esa),new_symbols(skolem,[sK514,sK515,sK516])],[f2376,f2378,f2377])).
% 5.79/1.21 thf(f2377,plain,(
% 5.79/1.21 ? [X0] : (($true = (transitiveset @ X0)) & ? [X1,X2] : (($true != (in @ X1 @ X0)) & ($true = (in @ X1 @ X2)) & ($true = (in @ X2 @ X0)))) => (($true = (transitiveset @ sK514)) & ? [X2,X1] : (($true != (in @ X1 @ sK514)) & ($true = (in @ X1 @ X2)) & ($true = (in @ X2 @ sK514))))),
% 5.79/1.21 introduced(choice_axiom,[])).
% 5.79/1.21 thf(f2378,plain,(
% 5.79/1.21 ? [X2,X1] : (($true != (in @ X1 @ sK514)) & ($true = (in @ X1 @ X2)) & ($true = (in @ X2 @ sK514))) => (($true != (in @ sK515 @ sK514)) & ($true = (in @ sK515 @ sK516)) & ($true = (in @ sK516 @ sK514)))),
% 5.79/1.21 introduced(choice_axiom,[])).
% 5.79/1.21 thf(f2376,plain,(
% 5.79/1.21 ((transitivesetOp2 = $true) | ? [X0] : (($true = (transitiveset @ X0)) & ? [X1,X2] : (($true != (in @ X1 @ X0)) & ($true = (in @ X1 @ X2)) & ($true = (in @ X2 @ X0))))) & (! [X3] : (($true != (transitiveset @ X3)) | ! [X4,X5] : (((in @ X4 @ X3) = $true) | ($true != (in @ X4 @ X5)) | ($true != (in @ X5 @ X3)))) | (transitivesetOp2 != $true))),
% 5.79/1.21 inference(rectify,[],[f2375])).
% 5.79/1.21 thf(f2375,plain,(
% 5.79/1.21 ((transitivesetOp2 = $true) | ? [X0] : (($true = (transitiveset @ X0)) & ? [X1,X2] : (($true != (in @ X1 @ X0)) & ($true = (in @ X1 @ X2)) & ($true = (in @ X2 @ X0))))) & (! [X0] : (($true != (transitiveset @ X0)) | ! [X1,X2] : (($true = (in @ X1 @ X0)) | ($true != (in @ X1 @ X2)) | ($true != (in @ X2 @ X0)))) | (transitivesetOp2 != $true))),
% 5.79/1.21 inference(nnf_transformation,[],[f1477])).
% 5.79/1.21 thf(f1477,plain,(
% 5.79/1.21 (transitivesetOp2 = $true) <=> ! [X0] : (($true != (transitiveset @ X0)) | ! [X1,X2] : (($true = (in @ X1 @ X0)) | ($true != (in @ X1 @ X2)) | ($true != (in @ X2 @ X0))))),
% 5.79/1.21 inference(flattening,[],[f1476])).
% 5.79/1.21 thf(f1476,plain,(
% 5.79/1.21 (transitivesetOp2 = $true) <=> ! [X0] : (! [X1,X2] : ((($true = (in @ X1 @ X0)) | ($true != (in @ X1 @ X2))) | ($true != (in @ X2 @ X0))) | ($true != (transitiveset @ X0)))),
% 5.79/1.21 inference(ennf_transformation,[],[f601])).
% 5.79/1.21 thf(f601,plain,(
% 5.79/1.21 (transitivesetOp2 = $true) <=> ! [X0] : (($true = (transitiveset @ X0)) => ! [X1,X2] : (($true = (in @ X2 @ X0)) => (($true = (in @ X1 @ X2)) => ($true = (in @ X1 @ X0)))))),
% 5.79/1.21 inference(fool_elimination,[],[f600])).
% 5.79/1.21 thf(f600,plain,(
% 5.79/1.21 (! [X0] : ((transitiveset @ X0) => ! [X1,X2] : ((in @ X2 @ X0) => ((in @ X1 @ X2) => (in @ X1 @ X0)))) = transitivesetOp2)),
% 5.79/1.21 inference(rectify,[],[f334])).
% 5.79/1.21 thf(f334,axiom,(
% 5.79/1.21 (! [X11] : ((transitiveset @ X11) => ! [X1,X3] : ((in @ X3 @ X11) => ((in @ X1 @ X3) => (in @ X1 @ X11)))) = transitivesetOp2)),
% 5.79/1.21 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivesetOp2)).
% 5.79/1.21 thf(f4613,plain,(
% 5.79/1.21 ($true != (in @ sK638 @ sK637))),
% 5.79/1.21 inference(cnf_transformation,[],[f2584])).
% 5.79/1.21 % SZS output end Proof for theBenchmark
% 5.79/1.21 % (2533)------------------------------
% 5.79/1.21 % (2533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.79/1.21 % (2533)Termination reason: Refutation
% 5.79/1.21
% 5.79/1.21 % (2533)Memory used [KB]: 13304
% 5.79/1.21 % (2533)Time elapsed: 0.386 s
% 5.79/1.21 % (2533)Instructions burned: 906 (million)
% 5.79/1.21 % (2533)------------------------------
% 5.79/1.21 % (2533)------------------------------
% 5.79/1.21 % (2485)Success in time 0.815 s
% 5.79/1.21 % Vampire---4.8 exiting
%------------------------------------------------------------------------------