0.07/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.11	% Command    : run_vampire %s %d THM
0.10/0.31	% Computer   : n013.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.32	% CPULimit   : 1920
0.10/0.32	% WCLimit    : 240
0.10/0.32	% DateTime   : Wed Jul 30 04:40:19 EDT 2025
0.10/0.32	% CPUTime    : 
0.10/0.33	This is a THF_ problem
0.10/0.34	Running higher-order theorem proving
0.19/0.41	Running /export/starexec/sandbox2/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.qbTyKAcyo6/E---3.1_29367.p -m 16384 -t 240
0.19/0.45	% (29475)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/183Mi)
0.19/0.45	% (29478)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/2Mi)
0.19/0.45	% (29478)Instruction limit reached!
0.19/0.45	% (29478)------------------------------
0.19/0.45	% (29478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.45	% (29478)Termination reason: Unknown
0.19/0.45	% (29478)Termination phase: shuffling
0.19/0.45	
0.19/0.45	% (29478)Memory used [KB]: 1535
0.19/0.45	% (29478)Time elapsed: 0.003 s
0.19/0.45	% (29478)Instructions burned: 3 (million)
0.19/0.45	% (29478)------------------------------
0.19/0.45	% (29478)------------------------------
0.19/0.45	% (29479)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/2Mi)
0.19/0.45	% (29476)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 E---3.1_29367 for (2399ds/4Mi)
0.19/0.45	% (29481)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/18Mi)
0.19/0.45	% (29477)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 E---3.1_29367 for (2399ds/27Mi)
0.19/0.45	% (29480)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/275Mi)
0.19/0.45	% (29479)Instruction limit reached!
0.19/0.45	% (29479)------------------------------
0.19/0.45	% (29479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.45	% (29479)Termination reason: Unknown
0.19/0.45	% (29479)Termination phase: shuffling
0.19/0.45	
0.19/0.45	% (29479)Memory used [KB]: 1535
0.19/0.45	% (29479)Time elapsed: 0.003 s
0.19/0.45	% (29479)Instructions burned: 3 (million)
0.19/0.45	% (29479)------------------------------
0.19/0.45	% (29479)------------------------------
0.19/0.45	% (29476)Instruction limit reached!
0.19/0.45	% (29476)------------------------------
0.19/0.45	% (29476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.45	% (29476)Termination reason: Unknown
0.19/0.45	% (29476)Termination phase: shuffling
0.19/0.45	
0.19/0.45	% (29476)Memory used [KB]: 1535
0.19/0.45	% (29476)Time elapsed: 0.004 s
0.19/0.45	% (29476)Instructions burned: 4 (million)
0.19/0.45	% (29476)------------------------------
0.19/0.45	% (29476)------------------------------
0.19/0.46	% (29481)Instruction limit reached!
0.19/0.46	% (29481)------------------------------
0.19/0.46	% (29481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.46	% (29481)Termination reason: Unknown
0.19/0.46	% (29481)Termination phase: shuffling
0.19/0.46	
0.19/0.46	% (29481)Memory used [KB]: 1918
0.19/0.46	% (29481)Time elapsed: 0.011 s
0.19/0.46	% (29481)Instructions burned: 19 (million)
0.19/0.46	% (29481)------------------------------
0.19/0.46	% (29481)------------------------------
0.19/0.46	% (29477)Instruction limit reached!
0.19/0.46	% (29477)------------------------------
0.19/0.46	% (29477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.19/0.46	% (29477)Termination reason: Unknown
0.19/0.46	% (29477)Termination phase: shuffling
0.19/0.46	
0.19/0.46	% (29477)Memory used [KB]: 1918
0.19/0.46	% (29477)Time elapsed: 0.014 s
0.19/0.46	% (29477)Instructions burned: 27 (million)
0.19/0.46	% (29477)------------------------------
0.19/0.46	% (29477)------------------------------
0.26/0.47	% (29482)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/3Mi)
0.26/0.47	% (29484)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 E---3.1_29367 for (2399ds/15Mi)
0.26/0.47	% (29483)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 E---3.1_29367 for (2399ds/37Mi)
0.26/0.47	% (29482)Instruction limit reached!
0.26/0.47	% (29482)------------------------------
0.26/0.47	% (29482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.47	% (29482)Termination reason: Unknown
0.26/0.47	% (29482)Termination phase: shuffling
0.26/0.47	
0.26/0.47	% (29482)Memory used [KB]: 1535
0.26/0.47	% (29482)Time elapsed: 0.004 s
0.26/0.47	% (29482)Instructions burned: 3 (million)
0.26/0.47	% (29482)------------------------------
0.26/0.47	% (29482)------------------------------
0.26/0.48	% (29484)Instruction limit reached!
0.26/0.48	% (29484)------------------------------
0.26/0.48	% (29484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.48	% (29484)Termination reason: Unknown
0.26/0.48	% (29484)Termination phase: shuffling
0.26/0.48	
0.26/0.48	% (29484)Memory used [KB]: 1791
0.26/0.48	% (29484)Time elapsed: 0.010 s
0.26/0.48	% (29484)Instructions burned: 15 (million)
0.26/0.48	% (29484)------------------------------
0.26/0.48	% (29484)------------------------------
0.26/0.48	% (29486)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 E---3.1_29367 for (2399ds/1041Mi)
0.26/0.48	% (29485)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/3Mi)
0.26/0.48	% (29485)Instruction limit reached!
0.26/0.48	% (29485)------------------------------
0.26/0.48	% (29485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.48	% (29485)Termination reason: Unknown
0.26/0.48	% (29485)Termination phase: shuffling
0.26/0.48	
0.26/0.48	% (29485)Memory used [KB]: 1535
0.26/0.48	% (29485)Time elapsed: 0.003 s
0.26/0.48	% (29485)Instructions burned: 3 (million)
0.26/0.48	% (29485)------------------------------
0.26/0.48	% (29485)------------------------------
0.26/0.49	% (29483)Instruction limit reached!
0.26/0.49	% (29483)------------------------------
0.26/0.49	% (29483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.49	% (29483)Termination reason: Unknown
0.26/0.49	% (29483)Termination phase: shuffling
0.26/0.49	
0.26/0.49	% (29483)Memory used [KB]: 2302
0.26/0.49	% (29483)Time elapsed: 0.019 s
0.26/0.49	% (29483)Instructions burned: 38 (million)
0.26/0.49	% (29483)------------------------------
0.26/0.49	% (29483)------------------------------
0.26/0.49	% (29487)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/7Mi)
0.26/0.49	% (29488)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/16Mi)
0.26/0.49	% (29487)Instruction limit reached!
0.26/0.49	% (29487)------------------------------
0.26/0.49	% (29487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.49	% (29487)Termination reason: Unknown
0.26/0.49	% (29487)Termination phase: shuffling
0.26/0.49	
0.26/0.49	% (29487)Memory used [KB]: 1663
0.26/0.49	% (29487)Time elapsed: 0.006 s
0.26/0.49	% (29487)Instructions burned: 8 (million)
0.26/0.49	% (29487)------------------------------
0.26/0.49	% (29487)------------------------------
0.26/0.50	% (29488)Instruction limit reached!
0.26/0.50	% (29488)------------------------------
0.26/0.50	% (29488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.50	% (29488)Termination reason: Unknown
0.26/0.50	% (29488)Termination phase: shuffling
0.26/0.50	
0.26/0.50	% (29488)Memory used [KB]: 1791
0.26/0.50	% (29488)Time elapsed: 0.009 s
0.26/0.50	% (29488)Instructions burned: 16 (million)
0.26/0.50	% (29488)------------------------------
0.26/0.50	% (29488)------------------------------
0.26/0.50	% (29475)Instruction limit reached!
0.26/0.50	% (29475)------------------------------
0.26/0.50	% (29475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.50	% (29475)Termination reason: Unknown
0.26/0.50	% (29475)Termination phase: Saturation
0.26/0.50	
0.26/0.50	% (29475)Memory used [KB]: 7419
0.26/0.50	% (29475)Time elapsed: 0.056 s
0.26/0.50	% (29475)Instructions burned: 185 (million)
0.26/0.50	% (29475)------------------------------
0.26/0.50	% (29475)------------------------------
0.26/0.50	% (29490)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 E---3.1_29367 for (2399ds/3Mi)
0.26/0.50	% (29489)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 E---3.1_29367 for (2399ds/3Mi)
0.26/0.50	% (29490)Instruction limit reached!
0.26/0.50	% (29490)------------------------------
0.26/0.50	% (29490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.50	% (29490)Termination reason: Unknown
0.26/0.50	% (29490)Termination phase: shuffling
0.26/0.50	
0.26/0.50	% (29490)Memory used [KB]: 1663
0.26/0.50	% (29490)Time elapsed: 0.004 s
0.26/0.50	% (29490)Instructions burned: 4 (million)
0.26/0.50	% (29490)------------------------------
0.26/0.50	% (29490)------------------------------
0.26/0.50	% (29489)Instruction limit reached!
0.26/0.50	% (29489)------------------------------
0.26/0.50	% (29489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.50	% (29489)Termination reason: Unknown
0.26/0.50	% (29489)Termination phase: shuffling
0.26/0.50	
0.26/0.50	% (29489)Memory used [KB]: 1535
0.26/0.50	% (29489)Time elapsed: 0.003 s
0.26/0.50	% (29489)Instructions burned: 3 (million)
0.26/0.50	% (29489)------------------------------
0.26/0.50	% (29489)------------------------------
0.26/0.51	% (29491)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/7Mi)
0.26/0.51	% (29491)Instruction limit reached!
0.26/0.51	% (29491)------------------------------
0.26/0.51	% (29491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.51	% (29491)Termination reason: Unknown
0.26/0.51	% (29491)Termination phase: shuffling
0.26/0.51	
0.26/0.51	% (29491)Memory used [KB]: 1663
0.26/0.51	% (29491)Time elapsed: 0.005 s
0.26/0.51	% (29491)Instructions burned: 8 (million)
0.26/0.51	% (29491)------------------------------
0.26/0.51	% (29491)------------------------------
0.26/0.52	% (29492)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/3Mi)
0.26/0.52	% (29492)Instruction limit reached!
0.26/0.52	% (29492)------------------------------
0.26/0.52	% (29492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.26/0.52	% (29492)Termination reason: Unknown
0.26/0.52	% (29492)Termination phase: shuffling
0.26/0.52	
0.26/0.52	% (29492)Memory used [KB]: 1535
0.26/0.52	% (29492)Time elapsed: 0.004 s
0.26/0.52	% (29492)Instructions burned: 4 (million)
0.26/0.52	% (29492)------------------------------
0.26/0.52	% (29492)------------------------------
0.26/0.52	% (29493)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/4Mi)
0.80/0.52	% (29493)Instruction limit reached!
0.80/0.52	% (29493)------------------------------
0.80/0.52	% (29493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.80/0.52	% (29493)Termination reason: Unknown
0.80/0.52	% (29493)Termination phase: shuffling
0.80/0.52	
0.80/0.52	% (29493)Memory used [KB]: 1535
0.80/0.52	% (29493)Time elapsed: 0.003 s
0.80/0.52	% (29493)Instructions burned: 4 (million)
0.80/0.52	% (29493)------------------------------
0.80/0.52	% (29493)------------------------------
0.80/0.52	% (29494)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/18Mi)
0.80/0.52	% (29496)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/710Mi)
0.80/0.53	% (29494)Instruction limit reached!
0.80/0.53	% (29494)------------------------------
0.80/0.53	% (29494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.80/0.53	% (29494)Termination reason: Unknown
0.80/0.53	% (29494)Termination phase: shuffling
0.80/0.53	
0.80/0.53	% (29494)Memory used [KB]: 1791
0.80/0.53	% (29494)Time elapsed: 0.010 s
0.80/0.53	% (29494)Instructions burned: 18 (million)
0.80/0.53	% (29494)------------------------------
0.80/0.53	% (29494)------------------------------
0.80/0.53	% (29497)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_29367 for (2399ds/6Mi)
0.80/0.53	% (29497)Instruction limit reached!
0.80/0.53	% (29497)------------------------------
0.80/0.53	% (29497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.80/0.53	% (29497)Termination reason: Unknown
0.80/0.53	% (29497)Termination phase: shuffling
0.80/0.53	
0.80/0.53	% (29497)Memory used [KB]: 1663
0.80/0.53	% (29497)Time elapsed: 0.004 s
0.80/0.53	% (29497)Instructions burned: 7 (million)
0.80/0.53	% (29497)------------------------------
0.80/0.53	% (29497)------------------------------
0.80/0.53	% (29498)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 E---3.1_29367 for (2399ds/902Mi)
0.88/0.54	% (29499)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 E---3.1_29367 for (2399ds/21Mi)
0.88/0.54	% (29500)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_29367 for (2398ds/5Mi)
0.88/0.54	% (29501)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 E---3.1_29367 for (2398ds/6Mi)
0.88/0.54	% (29500)Instruction limit reached!
0.88/0.54	% (29500)------------------------------
0.88/0.54	% (29500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.88/0.54	% (29500)Termination reason: Unknown
0.88/0.54	% (29500)Termination phase: shuffling
0.88/0.54	
0.88/0.54	% (29500)Memory used [KB]: 1663
0.88/0.54	% (29500)Time elapsed: 0.005 s
0.88/0.54	% (29500)Instructions burned: 6 (million)
0.88/0.54	% (29500)------------------------------
0.88/0.54	% (29500)------------------------------
0.88/0.55	% (29501)Instruction limit reached!
0.88/0.55	% (29501)------------------------------
0.88/0.55	% (29501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.88/0.55	% (29501)Termination reason: Unknown
0.88/0.55	% (29501)Termination phase: shuffling
0.88/0.55	
0.88/0.55	% (29501)Memory used [KB]: 1663
0.88/0.55	% (29501)Time elapsed: 0.004 s
0.88/0.55	% (29501)Instructions burned: 7 (million)
0.88/0.55	% (29501)------------------------------
0.88/0.55	% (29501)------------------------------
0.88/0.55	% (29499)Instruction limit reached!
0.88/0.55	% (29499)------------------------------
0.88/0.55	% (29499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.88/0.55	% (29499)Termination reason: Unknown
0.88/0.55	% (29499)Termination phase: shuffling
0.88/0.55	
0.88/0.55	% (29499)Memory used [KB]: 1918
0.88/0.55	% (29499)Time elapsed: 0.012 s
0.88/0.55	% (29499)Instructions burned: 21 (million)
0.88/0.55	% (29499)------------------------------
0.88/0.55	% (29499)------------------------------
0.88/0.56	% (29503)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 E---3.1_29367 for (2398ds/779Mi)
0.88/0.56	% (29502)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_29367 for (2398ds/377Mi)
0.88/0.56	% (29504)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 E---3.1_29367 for (2398ds/19Mi)
0.88/0.57	% (29504)Instruction limit reached!
0.88/0.57	% (29504)------------------------------
0.88/0.57	% (29504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.88/0.57	% (29504)Termination reason: Unknown
0.88/0.57	% (29504)Termination phase: shuffling
0.88/0.57	
0.88/0.57	% (29504)Memory used [KB]: 1918
0.88/0.57	% (29504)Time elapsed: 0.011 s
0.88/0.57	% (29504)Instructions burned: 19 (million)
0.88/0.57	% (29504)------------------------------
0.88/0.57	% (29504)------------------------------
0.88/0.58	% (29480)Instruction limit reached!
0.88/0.58	% (29480)------------------------------
0.88/0.58	% (29480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.88/0.58	% (29480)Termination reason: Unknown
0.88/0.58	% (29480)Termination phase: Saturation
0.88/0.58	
0.88/0.58	% (29480)Memory used [KB]: 10362
0.88/0.58	% (29480)Time elapsed: 0.132 s
0.88/0.58	% (29480)Instructions burned: 275 (million)
0.88/0.58	% (29480)------------------------------
0.88/0.58	% (29480)------------------------------
0.88/0.59	% (29505)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on E---3.1_29367 for (2398ds/879Mi)
0.88/0.60	% (29506)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_29367 for (2398ds/17Mi)
0.88/0.61	% (29506)Instruction limit reached!
0.88/0.61	% (29506)------------------------------
0.88/0.61	% (29506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
0.88/0.61	% (29506)Termination reason: Unknown
0.88/0.61	% (29506)Termination phase: shuffling
0.88/0.61	
0.88/0.61	% (29506)Memory used [KB]: 1918
0.88/0.61	% (29506)Time elapsed: 0.010 s
0.88/0.61	% (29506)Instructions burned: 17 (million)
0.88/0.61	% (29506)------------------------------
0.88/0.61	% (29506)------------------------------
1.21/0.63	% (29507)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_29367 for (2398ds/3Mi)
1.21/0.63	% (29507)Instruction limit reached!
1.21/0.63	% (29507)------------------------------
1.21/0.63	% (29507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.21/0.63	% (29507)Termination reason: Unknown
1.21/0.63	% (29507)Termination phase: shuffling
1.21/0.63	
1.21/0.63	% (29507)Memory used [KB]: 1535
1.21/0.63	% (29507)Time elapsed: 0.003 s
1.21/0.63	% (29507)Instructions burned: 3 (million)
1.21/0.63	% (29507)------------------------------
1.21/0.63	% (29507)------------------------------
1.21/0.65	% (29508)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_29367 for (2397ds/30Mi)
1.21/0.66	% (29508)Instruction limit reached!
1.21/0.66	% (29508)------------------------------
1.21/0.66	% (29508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.21/0.66	% (29508)Termination reason: Unknown
1.21/0.66	% (29508)Termination phase: shuffling
1.21/0.66	
1.21/0.66	% (29508)Memory used [KB]: 2174
1.21/0.66	% (29508)Time elapsed: 0.016 s
1.21/0.66	% (29508)Instructions burned: 30 (million)
1.21/0.66	% (29508)------------------------------
1.21/0.66	% (29508)------------------------------
1.37/0.69	% (29509)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on E---3.1_29367 for (2397ds/127Mi)
1.37/0.71	% (29502)Instruction limit reached!
1.37/0.71	% (29502)------------------------------
1.37/0.71	% (29502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.37/0.71	% (29502)Termination reason: Unknown
1.37/0.71	% (29502)Termination phase: Saturation
1.37/0.71	
1.37/0.71	% (29502)Memory used [KB]: 9338
1.37/0.71	% (29502)Time elapsed: 0.153 s
1.37/0.71	% (29502)Instructions burned: 377 (million)
1.37/0.71	% (29502)------------------------------
1.37/0.71	% (29502)------------------------------
1.37/0.72	% (29509)Instruction limit reached!
1.37/0.72	% (29509)------------------------------
1.37/0.72	% (29509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.37/0.72	% (29509)Termination reason: Unknown
1.37/0.72	% (29509)Termination phase: Property scanning
1.37/0.72	
1.37/0.72	% (29509)Memory used [KB]: 2814
1.37/0.72	% (29509)Time elapsed: 0.035 s
1.37/0.72	% (29509)Instructions burned: 128 (million)
1.37/0.72	% (29509)------------------------------
1.37/0.72	% (29509)------------------------------
1.37/0.73	% (29510)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_29367 for (2397ds/100Mi)
1.37/0.73	% (29511)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 E---3.1_29367 for (2397ds/3Mi)
1.37/0.73	% (29511)Instruction limit reached!
1.37/0.73	% (29511)------------------------------
1.37/0.73	% (29511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.37/0.73	% (29511)Termination reason: Unknown
1.37/0.73	% (29511)Termination phase: shuffling
1.37/0.73	
1.37/0.73	% (29511)Memory used [KB]: 1535
1.37/0.73	% (29511)Time elapsed: 0.003 s
1.37/0.73	% (29511)Instructions burned: 4 (million)
1.37/0.73	% (29511)------------------------------
1.37/0.73	% (29511)------------------------------
1.37/0.74	% (29512)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 E---3.1_29367 for (2396ds/20Mi)
1.37/0.75	% (29512)Instruction limit reached!
1.37/0.75	% (29512)------------------------------
1.37/0.75	% (29512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.37/0.75	% (29512)Termination reason: Unknown
1.37/0.75	% (29512)Termination phase: shuffling
1.37/0.75	
1.37/0.75	% (29512)Memory used [KB]: 1918
1.37/0.75	% (29512)Time elapsed: 0.009 s
1.37/0.75	% (29512)Instructions burned: 22 (million)
1.37/0.75	% (29512)------------------------------
1.37/0.75	% (29512)------------------------------
1.74/0.76	% (29513)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 E---3.1_29367 for (2396ds/86Mi)
1.74/0.77	% (29498)First to succeed.
1.76/0.77	% (29510)Instruction limit reached!
1.76/0.77	% (29510)------------------------------
1.76/0.77	% (29510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.76/0.77	% (29510)Termination reason: Unknown
1.76/0.77	% (29510)Termination phase: Property scanning
1.76/0.77	
1.76/0.77	% (29510)Memory used [KB]: 2814
1.76/0.77	% (29510)Time elapsed: 0.043 s
1.76/0.77	% (29510)Instructions burned: 101 (million)
1.76/0.77	% (29510)------------------------------
1.76/0.77	% (29510)------------------------------
1.76/0.77	% (29498)Refutation found. Thanks to Tanya!
1.76/0.77	% SZS status Theorem for E---3.1_29367
1.76/0.77	% SZS output start Proof for E---3.1_29367
1.76/0.77	thf(func_def_0, type, in: $i > $i > $o).
1.76/0.77	thf(func_def_1, type, exu: ($i > $o) > $o).
1.76/0.77	thf(func_def_6, type, setadjoin: $i > $i > $i).
1.76/0.77	thf(func_def_8, type, powerset: $i > $i).
1.76/0.77	thf(func_def_10, type, setunion: $i > $i).
1.76/0.77	thf(func_def_19, type, descr: ($i > $o) > $i).
1.76/0.77	thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
1.76/0.77	thf(func_def_26, type, prop2set: $o > $i).
1.76/0.77	thf(func_def_36, type, nonempty: $i > $o).
1.76/0.77	thf(func_def_69, type, set2prop: $i > $o).
1.76/0.77	thf(func_def_88, type, subset: $i > $i > $o).
1.76/0.77	thf(func_def_89, type, disjoint: $i > $i > $o).
1.76/0.77	thf(func_def_90, type, setsmeet: $i > $i > $o).
1.76/0.77	thf(func_def_114, type, binunion: $i > $i > $i).
1.76/0.77	thf(func_def_122, type, binintersect: $i > $i > $i).
1.76/0.77	thf(func_def_135, type, regular: $i > $o).
1.76/0.77	thf(func_def_136, type, setminus: $i > $i > $i).
1.76/0.77	thf(func_def_147, type, symdiff: $i > $i > $i).
1.76/0.77	thf(func_def_153, type, iskpair: $i > $o).
1.76/0.77	thf(func_def_158, type, kpair: $i > $i > $i).
1.76/0.77	thf(func_def_160, type, cartprod: $i > $i > $i).
1.76/0.77	thf(func_def_177, type, singleton: $i > $o).
1.76/0.77	thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
1.76/0.77	thf(func_def_184, type, atmost1p: $i > $o).
1.76/0.77	thf(func_def_185, type, atleast2p: $i > $o).
1.76/0.77	thf(func_def_186, type, atmost2p: $i > $o).
1.76/0.77	thf(func_def_187, type, upairsetp: $i > $o).
1.76/0.77	thf(func_def_191, type, kfst: $i > $i).
1.76/0.77	thf(func_def_203, type, ksnd: $i > $i).
1.76/0.77	thf(func_def_213, type, breln: $i > $i > $i > $o).
1.76/0.77	thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
1.76/0.77	thf(func_def_222, type, func: $i > $i > $i > $o).
1.76/0.77	thf(func_def_223, type, funcSet: $i > $i > $i).
1.76/0.77	thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
1.76/0.77	thf(func_def_259, type, if: $i > $o > $i > $i > $i).
1.76/0.77	thf(func_def_323, type, breln1: $i > $i > $o).
1.76/0.77	thf(func_def_325, type, breln1Set: $i > $i).
1.76/0.77	thf(func_def_327, type, transitive: $i > $i > $o).
1.76/0.77	thf(func_def_328, type, antisymmetric: $i > $i > $o).
1.76/0.77	thf(func_def_329, type, reflexive: $i > $i > $o).
1.76/0.77	thf(func_def_330, type, refltransitive: $i > $i > $o).
1.76/0.77	thf(func_def_331, type, refllinearorder: $i > $i > $o).
1.76/0.77	thf(func_def_332, type, reflwellordering: $i > $i > $o).
1.76/0.77	thf(func_def_338, type, breln1invset: $i > $i > $i).
1.76/0.77	thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
1.76/0.77	thf(func_def_366, type, sP2: $i > $i > $i > $i > $o).
1.76/0.77	thf(func_def_369, type, sP5: $i > $i > $i > $o > $o).
1.76/0.77	thf(func_def_371, type, sP7: $i > $i > $i > $o).
1.76/0.77	thf(func_def_373, type, sP9: $i > $i > $o).
1.76/0.77	thf(func_def_374, type, sP10: $i > $o).
1.76/0.77	thf(func_def_375, type, sP11: $i > $i > $o).
1.76/0.77	thf(func_def_376, type, sP12: $i > $i > $o).
1.76/0.77	thf(func_def_378, type, sP14: $i > $i > $i > $o).
1.76/0.77	thf(func_def_394, type, sK30: $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_395, type, sK31: $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_400, type, sK36: $i > $i > $o).
1.76/0.77	thf(func_def_408, type, sK44: $o > $i > $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_412, type, sK48: $i > $o).
1.76/0.77	thf(func_def_413, type, sK49: ($i > $o) > $i).
1.76/0.77	thf(func_def_414, type, sK50: ($i > $i) > $i > $i > $i).
1.76/0.77	thf(func_def_417, type, sK53: $i > $i).
1.76/0.77	thf(func_def_430, type, sK66: $i > $o).
1.76/0.77	thf(func_def_432, type, sK68: $i > ($i > $o) > $i).
1.76/0.77	thf(func_def_433, type, sK69: $i > $o).
1.76/0.77	thf(func_def_437, type, sK73: $i > $o).
1.76/0.77	thf(func_def_444, type, sK80: $i > $i).
1.76/0.77	thf(func_def_446, type, sK82: $i > ($i > $i) > $i > $i).
1.76/0.77	thf(func_def_451, type, sK87: $i > $i > $i).
1.76/0.77	thf(func_def_458, type, sK94: $i > $i > $i > $i).
1.76/0.77	thf(func_def_459, type, sK95: $i > $i > $i > $i).
1.76/0.77	thf(func_def_472, type, sK108: $i > $i).
1.76/0.77	thf(func_def_481, type, sK117: $i > $i > $i).
1.76/0.77	thf(func_def_482, type, sK118: $i > $i > $i).
1.76/0.77	thf(func_def_489, type, sK125: $i > ($i > $i) > $i > $i).
1.76/0.77	thf(func_def_491, type, sK127: $i > $i).
1.76/0.77	thf(func_def_507, type, sK143: $i > $o).
1.76/0.77	thf(func_def_547, type, sK183: $i > $i > $o).
1.76/0.77	thf(func_def_556, type, sK192: $i > $i > $i > $i).
1.76/0.77	thf(func_def_571, type, sK207: $i > $o).
1.76/0.77	thf(func_def_573, type, sK209: ($i > $o) > $i > $i > $i).
1.76/0.77	thf(func_def_574, type, sK210: ($i > $o) > $i > $i > $i).
1.76/0.77	thf(func_def_585, type, sK221: $i > $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_588, type, sK224: $i > $i > $o).
1.76/0.77	thf(func_def_606, type, sK242: $i > $i > $i).
1.76/0.77	thf(func_def_631, type, sK267: $i > $i > ($i > $i) > $i).
1.76/0.77	thf(func_def_632, type, sK268: $i > $i).
1.76/0.77	thf(func_def_641, type, sK277: $i > $o).
1.76/0.77	thf(func_def_683, type, sK319: $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_684, type, sK320: $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_685, type, sK321: $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_686, type, sK322: $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_689, type, sK325: $i > $o).
1.76/0.77	thf(func_def_690, type, sK326: $i > $o).
1.76/0.77	thf(func_def_691, type, sK327: ($i > $o) > ($i > $o) > $i > $i > $i).
1.76/0.77	thf(func_def_692, type, sK328: ($i > $o) > ($i > $o) > $i > $i > $i).
1.76/0.77	thf(func_def_695, type, sK331: $i > ($i > $o) > $i).
1.76/0.77	thf(func_def_696, type, sK332: $i > $o).
1.76/0.77	thf(func_def_704, type, sK340: $i > $o).
1.76/0.77	thf(func_def_716, type, sK352: $i > $o).
1.76/0.77	thf(func_def_722, type, sK358: $i > $i > $i).
1.76/0.77	thf(func_def_727, type, sK363: $i > $i > $i).
1.76/0.77	thf(func_def_730, type, sK366: $i > $o).
1.76/0.77	thf(func_def_733, type, sK369: $i > ($i > $o) > $i).
1.76/0.77	thf(func_def_734, type, sK370: $i > ($i > $o) > $i).
1.76/0.77	thf(func_def_746, type, sK382: $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_747, type, sK383: $i > ($i > $i) > $i > $i).
1.76/0.77	thf(func_def_749, type, sK385: $i > $i).
1.76/0.77	thf(func_def_770, type, sK406: ($i > $o) > $i > $i > $i > $i).
1.76/0.77	thf(func_def_771, type, sK407: ($i > $o) > $i > $i > $i > $i).
1.76/0.77	thf(func_def_775, type, sK411: $i > $o).
1.76/0.77	thf(func_def_779, type, sK415: $i > $i > $o).
1.76/0.77	thf(func_def_792, type, sK428: $o > $i > $i > $i).
1.76/0.77	thf(func_def_796, type, sK432: $i > $i).
1.76/0.77	thf(func_def_800, type, sK436: ($i > $o) > $i > $i).
1.76/0.77	thf(func_def_802, type, sK438: $i > $o).
1.76/0.77	thf(func_def_804, type, sK440: $i > $i).
1.76/0.77	thf(func_def_806, type, sK442: $i > $i).
1.76/0.77	thf(func_def_810, type, sK446: $i > $i > $o).
1.76/0.77	thf(func_def_843, type, sK479: $i > $i).
1.76/0.77	thf(func_def_859, type, sK495: $i > $o).
1.76/0.77	thf(func_def_876, type, sK512: ($i > $o) > $i > $i > $i > $i).
1.76/0.77	thf(func_def_877, type, sK513: ($i > $o) > $i > $i > $i > $i).
1.76/0.77	thf(func_def_881, type, sK517: $i > $o).
1.76/0.77	thf(func_def_908, type, sK544: $i > $i > $i > $i).
1.76/0.77	thf(func_def_909, type, sK545: $i > $i > $i > $i).
1.76/0.77	thf(func_def_917, type, sK553: $i > $i > $i).
1.76/0.77	thf(func_def_918, type, sK554: $i > $o).
1.76/0.77	thf(func_def_920, type, sK556: $i > ($i > $o) > $i).
1.76/0.77	thf(func_def_927, type, sK563: ($i > $o) > $i > $i).
1.76/0.77	thf(func_def_929, type, sK565: $i > $o).
1.76/0.77	thf(func_def_931, type, sK567: $i > $o).
1.76/0.77	thf(func_def_934, type, sK570: $i > ($i > $o) > $i).
1.76/0.77	thf(func_def_938, type, sK574: $i > $o).
1.76/0.77	thf(func_def_941, type, sK577: $i > ($i > $o) > $i).
1.76/0.77	thf(func_def_958, type, sK594: $i > $i).
1.76/0.77	thf(func_def_970, type, sK606: $i > $o).
1.76/0.77	thf(func_def_972, type, sK608: $i > $o).
1.76/0.77	thf(func_def_973, type, sK609: $i > $i).
1.76/0.77	thf(func_def_974, type, sK610: ($i > $o) > $i).
1.76/0.77	thf(func_def_983, type, sK619: ($i > $o) > $i).
1.76/0.77	thf(func_def_984, type, sK620: ($i > $o) > $i).
1.76/0.77	thf(func_def_985, type, sK621: $i > $o).
1.76/0.77	thf(func_def_996, type, sK632: ($i > $o) > $i > $i).
1.76/0.77	thf(func_def_998, type, sK634: $i > $o).
1.76/0.77	thf(func_def_1015, type, sK651: $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_1016, type, sK652: $i > $i > $i > $i).
1.76/0.77	thf(func_def_1017, type, sK653: $i > $i > $i > $i).
1.76/0.77	thf(func_def_1022, type, sK658: $i > $i > $i).
1.76/0.77	thf(func_def_1023, type, sK659: $i > $i > $i).
1.76/0.77	thf(func_def_1024, type, sK660: $i > $i > $i).
1.76/0.77	thf(func_def_1025, type, sK661: $i > $i > $i).
1.76/0.77	thf(func_def_1026, type, sK662: $i > $i > $i > $i).
1.76/0.77	thf(func_def_1027, type, sK663: $i > $i).
1.76/0.77	thf(func_def_1028, type, sK664: $i > $i).
1.76/0.77	thf(func_def_1029, type, sK665: $i > $i).
1.76/0.77	thf(func_def_1030, type, sK666: $i > $i).
1.76/0.77	thf(func_def_1031, type, sK667: $i > $i > $i > $i).
1.76/0.77	thf(func_def_1032, type, sK668: $i > $i > $i > $i).
1.76/0.77	thf(func_def_1033, type, sK669: $i > $i > $i).
1.76/0.77	thf(func_def_1034, type, sK670: $i > $i > $i).
1.76/0.77	thf(func_def_1035, type, sK671: $i > $i > $i).
1.76/0.77	thf(func_def_1036, type, sK672: $i > $i).
1.76/0.77	thf(func_def_1037, type, sK673: $i > $i > $i).
1.76/0.77	thf(func_def_1039, type, sK675: $i > $i).
1.76/0.77	thf(func_def_1040, type, sK676: $i > $i).
1.76/0.77	thf(func_def_1042, type, sK678: $i > $i > $o).
1.76/0.77	thf(func_def_1043, type, sK679: $i > $i).
1.76/0.77	thf(func_def_1044, type, sK680: $i > $i).
1.76/0.77	thf(func_def_1045, type, sK681: ($i > $i > $o) > $i > $i).
1.76/0.77	thf(func_def_1046, type, sK682: ($i > $i > $o) > $i > $i).
1.76/0.77	thf(func_def_1047, type, sK683: $i > ($i > $i > $o) > $i > $i).
1.76/0.77	thf(func_def_1049, type, sK685: $i > $o).
1.76/0.77	thf(func_def_1051, type, sK687: ($i > $o) > $i > $i).
1.76/0.77	thf(func_def_1052, type, sK688: $i > $o).
1.76/0.77	thf(func_def_1065, type, sK701: $i > $i > $i).
1.76/0.77	thf(func_def_1069, type, sK705: $i > $i > $i > $i).
1.76/0.77	thf(func_def_1070, type, sK706: $i > $i > $i > $i).
1.76/0.77	thf(func_def_1071, type, sK707: $i > $i > $i > $i).
1.76/0.77	thf(func_def_1072, type, sK708: $i > $i > $i > $i).
1.76/0.77	thf(func_def_1074, type, sK710: $i > $i).
1.76/0.77	thf(func_def_1086, type, sK722: $i > $i > $i > $i).
1.76/0.77	thf(func_def_1120, type, sK756: $i > $o).
1.76/0.77	thf(func_def_1125, type, sK761: $i > $o).
1.76/0.77	thf(func_def_1135, type, sK771: $i > $o).
1.76/0.77	thf(func_def_1136, type, sK772: $i > $i).
1.76/0.77	thf(func_def_1137, type, sK773: ($i > $o) > $i).
1.76/0.77	thf(func_def_1139, type, sK775: $i > $i > $o).
1.76/0.77	thf(func_def_1145, type, sK781: $i > $i > $o).
1.76/0.77	thf(func_def_1195, type, sK831: $i > $o).
1.76/0.77	thf(func_def_1208, type, sK844: $i > $i > ($i > $o) > $i).
1.76/0.77	thf(func_def_1209, type, sK845: $i > $o).
1.76/0.77	thf(func_def_1259, type, sK895: $i > $o).
1.76/0.77	thf(func_def_1261, type, sK897: ($i > $o) > $i > $i).
1.76/0.77	thf(func_def_1262, type, sK898: ($i > $o) > $i > $i).
1.76/0.77	thf(func_def_1278, type, sK914: $i > $o).
1.76/0.77	thf(func_def_1290, type, sK926: $i > $i > ($i > $i) > $i).
1.76/0.77	thf(func_def_1291, type, sK927: $i > $i).
1.76/0.77	thf(func_def_1300, type, sK936: ($i > $o) > ($i > $o) > $i).
1.76/0.77	thf(func_def_1301, type, sK937: ($i > $o) > ($i > $o) > $i).
1.76/0.77	thf(func_def_1302, type, sK938: $i > $o).
1.76/0.77	thf(func_def_1303, type, sK939: $i > $o).
1.76/0.77	thf(func_def_1318, type, sK954: $i > $o).
1.76/0.77	thf(func_def_1320, type, sK956: ($i > $o) > $i > $i > $i).
1.76/0.77	thf(func_def_1321, type, sK957: ($i > $o) > $i > $i > $i).
1.76/0.77	thf(func_def_1324, type, sK960: $i > $i > $i).
1.76/0.77	thf(func_def_1331, type, sK967: $i > $i > $o).
1.76/0.77	thf(func_def_1344, type, sK980: $i > ($i > $i > $o) > $i > $i).
1.76/0.77	thf(func_def_1346, type, sK982: $i > $i > $o).
1.76/0.77	thf(func_def_1350, type, sK986: $i > $i).
1.76/0.77	thf(func_def_1351, type, sK987: $i > $i > $i > $i > $i).
1.76/0.77	thf(func_def_1363, type, sK999: ($i > $o) > ($i > $o) > $i).
1.76/0.77	thf(func_def_1364, type, sK1000: ($i > $o) > ($i > $o) > $i).
1.76/0.77	thf(func_def_1365, type, sK1001: $i > $o).
1.76/0.77	thf(func_def_1366, type, sK1002: $i > $o).
1.76/0.77	thf(func_def_1369, type, sK1005: $i > $i > $i).
1.76/0.77	thf(func_def_1382, type, ph1018: !>[X0: $tType]:(X0)).
1.76/0.77	thf(f4932,plain,(
1.76/0.77	  $false),
1.76/0.77	  inference(avatar_sat_refutation,[status(thm)],[f4843,f4878,f4917])).
1.76/0.77	thf(f4917,plain,(
1.76/0.77	  ~spl1017_5),
1.76/0.77	  inference(avatar_contradiction_clause,[status(thm)],[f4916])).
1.76/0.77	thf(f4916,plain,(
1.76/0.77	  $false | ~spl1017_5),
1.76/0.77	  inference(trivial_inequality_removal,[status(thm)],[f4912])).
1.76/0.77	thf(f4912,plain,(
1.76/0.77	  ($true != $true) | ~spl1017_5),
1.76/0.77	  inference(superposition,[status(thm)],[f4069,f4842])).
1.76/0.77	thf(f4842,plain,(
1.76/0.77	  ((in @ (kpair @ sK823 @ sK824) @ sK822) = $true) | ~spl1017_5),
1.76/0.77	  inference(avatar_component_clause,[status(thm)],[f4840])).
1.76/0.77	thf(f4840,definition,(
1.76/0.77	  spl1017_5 <=> ((in @ (kpair @ sK823 @ sK824) @ sK822) = $true)),
1.76/0.77	  introduced(definition,[new_symbols(naming,[spl1017_5])],[avatar_definition])).
1.76/0.77	thf(f4069,plain,(
1.76/0.77	  ((in @ (kpair @ sK823 @ sK824) @ sK822) != $true)),
1.76/0.77	  inference(cnf_transformation,[status(thm)],[f2603])).
1.76/0.77	thf(f2603,plain,(
1.76/0.77	  (nonemptyI1 = $true) & (singletonsubset = $true) & (singletonsswitch = $true) & (subsetI1 = $true) & (breln1compprop = $true) & (theeq = $true) & (dsetconstrER = $true) & (binunionEcases = $true) & (ex1E1 = $true) & (foundationAx = $true) & (emptysetimpfalse = $true) & (dsetconstr__Cong = $true) & (binintersectLsub = $true) & (ksndsingleton = $true) & (binintersectSubset2 = $true) & (choice2fnsingleton = $true) & (kpairiskpair = $true) & (demorgan2a1 = $true) & (lamProp = $true) & (demorgan1 = $true) & (binintersectRsub = $true) & (eqinunit = $true) & (cartprodsndpairEq = $true) & (noeltsimpempty = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan2 = $true) & (setminusIRneg = $true) & (descr__Cong = $true) & (demorgan2b = $true) & (demorgan2a2 = $true) & (complementT_lem = $true) & (woz1_4 = $true) & (quantDeMorgan3 = $true) & (dsetconstrI = $true) & (notinemptyset = $true) & (iffalseProp2 = $true) & (eqimpsubset1 = $true) & (cartprodmempair1 = $true) & (woz1_1 = $true) & (woz13rule0 = $true) & (prop2setI = $true) & (binunionT_lem = $true) & (eta2 = $true) & (secondinupair = $true) & (infuncsetfunc = $true) & (ubforcartprodlem1 = $true) & (setadjoinIL = $true) & (setadjoinIR = $true) & (vacuousDall = $true) & (iftrueProp1 = $true) & (exu__Cong = $true) & (complementInPowersetComplementIntersect = $true) & (contrasubsetT3 = $true) & (cartprodmempaircEq = $true) & (dpsetconstrERa = $true) & (kpairp = $true) & (notinsingleton = $true) & (beta2 = $true) & (upairequniteq = $true) & (ap2apEq2 = $true) & (wellorderingAx = $true) & (funcGraphProp3 = $true) & (dpsetconstrSub = $true) & (setadjoinE = $true) & (exuI2 = $true) & (subset2powerset = $true) & (notequalI2 = $true) & (sepInPowerset = $true) & (setminusILneg = $true) & (binunionIR = $true) & (demorgan2b2 = $true) & (dpsetconstrEL2 = $true) & (setukpairinjR12 = $true) & (binintersectSubset1 = $true) & (omegaSAx = $true) & (bs114d = $true) & (funcGraphProp4 = $true) & (setextAx = $true) & (cartprodfstpairEq = $true) & (eqimpsubset2 = $true) & (setunionE2 = $true) & (replAx = $true) & (binintersectTELcontra = $true) & (setunionAx = $true) & (emptyInPowerset = $true) & (breln1unionIR = $true) & (subsetRefl = $true) & (in__Cong = $true) & (powersetE = $true) & (iftrue = $true) & (ubforcartprodlem3 = $true) & (breln1all1 = $true) & (ksndpairEq = $true) & (binunionIL = $true) & (exuEu = $true) & (powersetAx = $true) & (exuE1 = $true) & (exuE3e = $true) & (doubleComplementI1 = $true) & (subPowSU = $true) & (complementTnotintersectT = $true) & (nonemptyImpWitness = $true) & (uniqinunit = $true) & (breln1SetBreln1 = $true) & (binunionLsub = $true) & (setukpairinjR1 = $true) & (iffalseProp1 = $true) & (cartprodpairsurjEq = $true) & (breln1invE = $true) & (demorgan1b = $true) & (emptyinunitempty = $true) & (doubleComplementSub1 = $true) & (binintersectTERcontra = $true) & (breln1compE = $true) & (setbeta = $true) & (setukpairinjL2 = $true) & (ifSingleton = $true) & (binintersectSubset5 = $true) & (exuI3 = $true) & (subsetemptysetimpeq = $true) & (eqbreln = $true) & (upairsetIL = $true) & (setadjoinSub = $true) & (powerset__Cong = $true) & (setminusSubset1 = $true) & (inIntersectImpInUnion = $true) & (breln1invprop = $true) & (setukpairinjL1 = $true) & (demorgan2a = $true) & (doubleComplementSub2 = $true) & (setukpairinjR = $true) & (singletonsuniq = $true) & (setunion__Cong = $true) & (powersetI = $true) & (ap2apEq1 = $true) & (doubleComplementE1 = $true) & (powersetsubset = $true) & (setextsub = $true) & (setunionE = $true) & (eqbreln1 = $true) & (subsetE2 = $true) & (powersetTI1 = $true) & (breln1compI = $true) & (symdiffI1 = $true) & (cartprodsndin = $true) & (ex1I2 = $true) & (lam2lamEq = $true) & (binunionRsub = $true) & (binunionTIRcontra = $true) & (woz13rule3 = $true) & (setminusT_lem = $true) & (complementImpComplementIntersect = $true) & (setextT = $true) & (binunionTE = $true) & (powersetE1 = $true) & (powersetTE1 = $true) & (setukpairIR = $true) & (funcinfuncset = $true) & (emptyinPowerset = $true) & (descrp = $true) & (notsubsetI = $true) & (beta1 = $true) & (quantDeMorgan4 = $true) & (disjointsetsI1 = $true) & (notdallE = $true) & (setminusSubset2 = $true) & (inIntersectImpInUnion2 = $true) & (symdiffI2 = $true) & (contrasubsetT2 = $true) & (inComplementUnionImpInComplement1 = $true) & (sepSubset = $true) & (emptyI = $true) & (prop2set2propI = $true) & (binunionE = $true) & (nonemptyI = $true) & (symdiffE = $true) & (woz13rule2 = $true) & (setminusLsub = $true) & (setadjoin__Cong = $true) & (inCongP = $true) & (breln1unionprop = $true) & (binintersectT_lem = $true) & (funcGraphProp1 = $true) & (emptysetsubset = $true) & (notequalI1 = $true) & (complementUnionInPowersetComplement = $true) & (breln1unionI = $true) & (upairinpowunion = $true) & (singletoninpowunion = $true) & (setadjoinSub2 = $true) & (ubforcartprodlem2 = $true) & (omega0Ax = $true) & (ex1E2 = $true) & (kfstsingleton = $true) & (subsetTrans = $true) & (breln1all2 = $true) & (setminusER = $true) & (cartprodfstin = $true) & (complementTE1 = $true) & (subsetTI = $true) & (cartprodpairmemER = $true) & (ifp = $true) & (woz1_3 = $true) & (funcGraphProp2 = $true) & (upairset2IR = $true) & (subsetE = $true) & (app = $true) & (inPowerset = $true) & (setukpairinjR11 = $true) & (setadjoinAx = $true) & (funcextLem = $true) & (setminusI = $true) & (upairset2E = $true) & (doubleComplementEq = $true) & (kpairsurjEq = $true) & (brelnall2 = $true) & (omega__Cong = $true) & (complementSubsetComplementIntersect = $true) & (emptysetAx = $true) & (prop2setE = $true) & (apProp = $true) & (subbreln1 = $true) & (breln1compEex = $true) & (setOfPairsIsBReln = $true) & (kfstpairEq = $true) & (dpsetconstrER = $true) & (breln1unionIL = $true) & (dpsetconstrEL1 = $true) & (dsetconstrEL = $true) & (setadjoinOr = $true) & (subbreln = $true) & (demorgan1a = $true) & (binunionTILcontra = $true) & (ex1I = $true) & (setminusERneg = $true) & (woz1_5 = $true) & (setminusEL = $true) & (woz13rule1 = $true) & (cartprodmempair = $true) & (theprop = $true) & (setminusELneg = $true) & (((((in @ sK823 @ sK821) = $true) & (($true != (in @ (kpair @ sK823 @ sK824) @ sK820)) & ((in @ (kpair @ sK823 @ sK824) @ (binunion @ sK820 @ sK822)) = $true) & ((in @ sK824 @ sK821) = $true) & ((in @ (kpair @ sK823 @ sK824) @ sK822) != $true))) & ((breln1 @ sK821 @ sK822) = $true)) & ($true = (breln1 @ sK821 @ sK820))) & (demorgan2 = $true) & (dpsetconstrI = $true) & (omegaIndAx = $true) & (inComplementUnionImpNotIn1 = $true) & (funcImageSingleton = $true) & (binintersectSubset3 = $true) & (symdiffIneg1 = $true) & (upairsetIR = $true) & (emptysetE = $true) & (setunionsingleton1 = $true) & (binintersectEL = $true) & (upairsubunion = $true) & (iftrueProp2 = $true) & (ap2p = $true) & (setOfPairsIsBReln1 = $true) & (woz13rule4 = $true) & (contrasubsetT1 = $true) & (lamp = $true) & (complementTI1 = $true) & (exuI1 = $true) & (singletonprop = $true) & (symdiffIneg2 = $true) & (eta1 = $true) & (iftrueorfalse = $true) & (setunionI = $true) & (binintersectI = $true) & (setunionsingleton = $true) & (setukpairinjR2 = $true) & (funcext2 = $true) & (lam2p = $true) & (cartprodpairin = $true) & (setext = $true) & (contrasubsetT = $true) & (brelnall1 = $true) & (contraSubsetComplement = $true) & (inIntersectImpInIntersectUnions = $true) & (breln1invI = $true) & (setukpairIL = $true) & (binunionTEcontra = $true) & (exuE3u = $true) & (upairsetE = $true) & (nonemptyE1 = $true) & (iffalse = $true) & (cartprodpairmemEL = $true) & (funcext = $true) & (woz1_2 = $true) & (binintersectSubset4 = $true) & (setukpairinjL = $true) & (exuE2 = $true) & (emptyset__Cong = $true) & (notdexE = $true) & (intersectInPowersetIntersectUnions = $true) & (setunionsingleton2 = $true) & (emptyE1 = $true) & (binintersectER = $true) & (singletoninpowerset = $true) & (powersetT_lem = $true) & (complementTcontraSubset = $true) & (powersetI1 = $true) & (subsetI2 = $true) & (setoftrueEq = $true)),
1.76/0.77	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK820,sK821,sK822,sK823,sK824])],[f1233,f2602,f2601,f2600,f2599])).
1.76/0.77	thf(f2599,plain,(
1.76/0.77	  ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (? [X3 : $i] : (((in @ X3 @ X1) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ X0) != $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)) = $true) & ($true = (in @ X4 @ X1)) & ((in @ (kpair @ X3 @ X4) @ X2) != $true))) & ($true = (breln1 @ X1 @ X2))) & ((breln1 @ X1 @ X0) = $true)) => (? [X2 : $i] : (? [X3 : $i] : (((in @ X3 @ sK821) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ sK820) != $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ sK820 @ X2)) = $true) & ((in @ X4 @ sK821) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) != $true))) & ($true = (breln1 @ sK821 @ X2))) & ($true = (breln1 @ sK821 @ sK820)))),
1.76/0.77	  introduced(definition,[],[choice_axiom])).
1.76/0.77	thf(f2600,plain,(
1.76/0.77	  ? [X2 : $i] : (? [X3 : $i] : (((in @ X3 @ sK821) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ sK820) != $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ sK820 @ X2)) = $true) & ((in @ X4 @ sK821) = $true) & ((in @ (kpair @ X3 @ X4) @ X2) != $true))) & ($true = (breln1 @ sK821 @ X2))) => (? [X3 : $i] : (((in @ X3 @ sK821) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ sK820) != $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ sK820 @ sK822)) = $true) & ((in @ X4 @ sK821) = $true) & ((in @ (kpair @ X3 @ X4) @ sK822) != $true))) & ((breln1 @ sK821 @ sK822) = $true))),
1.76/0.77	  introduced(definition,[],[choice_axiom])).
1.76/0.77	thf(f2601,plain,(
1.76/0.77	  ? [X3 : $i] : (((in @ X3 @ sK821) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ sK820) != $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ sK820 @ sK822)) = $true) & ((in @ X4 @ sK821) = $true) & ((in @ (kpair @ X3 @ X4) @ sK822) != $true))) => (((in @ sK823 @ sK821) = $true) & ? [X4 : $i] : (($true != (in @ (kpair @ sK823 @ X4) @ sK820)) & ($true = (in @ (kpair @ sK823 @ X4) @ (binunion @ sK820 @ sK822))) & ((in @ X4 @ sK821) = $true) & ((in @ (kpair @ sK823 @ X4) @ sK822) != $true)))),
1.76/0.77	  introduced(definition,[],[choice_axiom])).
1.76/0.77	thf(f2602,plain,(
1.76/0.77	  ? [X4 : $i] : (($true != (in @ (kpair @ sK823 @ X4) @ sK820)) & ($true = (in @ (kpair @ sK823 @ X4) @ (binunion @ sK820 @ sK822))) & ((in @ X4 @ sK821) = $true) & ((in @ (kpair @ sK823 @ X4) @ sK822) != $true)) => (($true != (in @ (kpair @ sK823 @ sK824) @ sK820)) & ((in @ (kpair @ sK823 @ sK824) @ (binunion @ sK820 @ sK822)) = $true) & ((in @ sK824 @ sK821) = $true) & ((in @ (kpair @ sK823 @ sK824) @ sK822) != $true))),
1.76/0.77	  introduced(definition,[],[choice_axiom])).
1.76/0.77	thf(f1233,plain,(
1.76/0.77	  (nonemptyI1 = $true) & (singletonsubset = $true) & (singletonsswitch = $true) & (subsetI1 = $true) & (breln1compprop = $true) & (theeq = $true) & (dsetconstrER = $true) & (binunionEcases = $true) & (ex1E1 = $true) & (foundationAx = $true) & (emptysetimpfalse = $true) & (dsetconstr__Cong = $true) & (binintersectLsub = $true) & (ksndsingleton = $true) & (binintersectSubset2 = $true) & (choice2fnsingleton = $true) & (kpairiskpair = $true) & (demorgan2a1 = $true) & (lamProp = $true) & (demorgan1 = $true) & (binintersectRsub = $true) & (eqinunit = $true) & (cartprodsndpairEq = $true) & (noeltsimpempty = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan2 = $true) & (setminusIRneg = $true) & (descr__Cong = $true) & (demorgan2b = $true) & (demorgan2a2 = $true) & (complementT_lem = $true) & (woz1_4 = $true) & (quantDeMorgan3 = $true) & (dsetconstrI = $true) & (notinemptyset = $true) & (iffalseProp2 = $true) & (eqimpsubset1 = $true) & (cartprodmempair1 = $true) & (woz1_1 = $true) & (woz13rule0 = $true) & (prop2setI = $true) & (binunionT_lem = $true) & (eta2 = $true) & (secondinupair = $true) & (infuncsetfunc = $true) & (ubforcartprodlem1 = $true) & (setadjoinIL = $true) & (setadjoinIR = $true) & (vacuousDall = $true) & (iftrueProp1 = $true) & (exu__Cong = $true) & (complementInPowersetComplementIntersect = $true) & (contrasubsetT3 = $true) & (cartprodmempaircEq = $true) & (dpsetconstrERa = $true) & (kpairp = $true) & (notinsingleton = $true) & (beta2 = $true) & (upairequniteq = $true) & (ap2apEq2 = $true) & (wellorderingAx = $true) & (funcGraphProp3 = $true) & (dpsetconstrSub = $true) & (setadjoinE = $true) & (exuI2 = $true) & (subset2powerset = $true) & (notequalI2 = $true) & (sepInPowerset = $true) & (setminusILneg = $true) & (binunionIR = $true) & (demorgan2b2 = $true) & (dpsetconstrEL2 = $true) & (setukpairinjR12 = $true) & (binintersectSubset1 = $true) & (omegaSAx = $true) & (bs114d = $true) & (funcGraphProp4 = $true) & (setextAx = $true) & (cartprodfstpairEq = $true) & (eqimpsubset2 = $true) & (setunionE2 = $true) & (replAx = $true) & (binintersectTELcontra = $true) & (setunionAx = $true) & (emptyInPowerset = $true) & (breln1unionIR = $true) & (subsetRefl = $true) & (in__Cong = $true) & (powersetE = $true) & (iftrue = $true) & (ubforcartprodlem3 = $true) & (breln1all1 = $true) & (ksndpairEq = $true) & (binunionIL = $true) & (exuEu = $true) & (powersetAx = $true) & (exuE1 = $true) & (exuE3e = $true) & (doubleComplementI1 = $true) & (subPowSU = $true) & (complementTnotintersectT = $true) & (nonemptyImpWitness = $true) & (uniqinunit = $true) & (breln1SetBreln1 = $true) & (binunionLsub = $true) & (setukpairinjR1 = $true) & (iffalseProp1 = $true) & (cartprodpairsurjEq = $true) & (breln1invE = $true) & (demorgan1b = $true) & (emptyinunitempty = $true) & (doubleComplementSub1 = $true) & (binintersectTERcontra = $true) & (breln1compE = $true) & (setbeta = $true) & (setukpairinjL2 = $true) & (ifSingleton = $true) & (binintersectSubset5 = $true) & (exuI3 = $true) & (subsetemptysetimpeq = $true) & (eqbreln = $true) & (upairsetIL = $true) & (setadjoinSub = $true) & (powerset__Cong = $true) & (setminusSubset1 = $true) & (inIntersectImpInUnion = $true) & (breln1invprop = $true) & (setukpairinjL1 = $true) & (demorgan2a = $true) & (doubleComplementSub2 = $true) & (setukpairinjR = $true) & (singletonsuniq = $true) & (setunion__Cong = $true) & (powersetI = $true) & (ap2apEq1 = $true) & (doubleComplementE1 = $true) & (powersetsubset = $true) & (setextsub = $true) & (setunionE = $true) & (eqbreln1 = $true) & (subsetE2 = $true) & (powersetTI1 = $true) & (breln1compI = $true) & (symdiffI1 = $true) & (cartprodsndin = $true) & (ex1I2 = $true) & (lam2lamEq = $true) & (binunionRsub = $true) & (binunionTIRcontra = $true) & (woz13rule3 = $true) & (setminusT_lem = $true) & (complementImpComplementIntersect = $true) & (setextT = $true) & (binunionTE = $true) & (powersetE1 = $true) & (powersetTE1 = $true) & (setukpairIR = $true) & (funcinfuncset = $true) & (emptyinPowerset = $true) & (descrp = $true) & (notsubsetI = $true) & (beta1 = $true) & (quantDeMorgan4 = $true) & (disjointsetsI1 = $true) & (notdallE = $true) & (setminusSubset2 = $true) & (inIntersectImpInUnion2 = $true) & (symdiffI2 = $true) & (contrasubsetT2 = $true) & (inComplementUnionImpInComplement1 = $true) & (sepSubset = $true) & (emptyI = $true) & (prop2set2propI = $true) & (binunionE = $true) & (nonemptyI = $true) & (symdiffE = $true) & (woz13rule2 = $true) & (setminusLsub = $true) & (setadjoin__Cong = $true) & (inCongP = $true) & (breln1unionprop = $true) & (binintersectT_lem = $true) & (funcGraphProp1 = $true) & (emptysetsubset = $true) & (notequalI1 = $true) & (complementUnionInPowersetComplement = $true) & (breln1unionI = $true) & (upairinpowunion = $true) & (singletoninpowunion = $true) & (setadjoinSub2 = $true) & (ubforcartprodlem2 = $true) & (omega0Ax = $true) & (ex1E2 = $true) & (kfstsingleton = $true) & (subsetTrans = $true) & (breln1all2 = $true) & (setminusER = $true) & (cartprodfstin = $true) & (complementTE1 = $true) & (subsetTI = $true) & (cartprodpairmemER = $true) & (ifp = $true) & (woz1_3 = $true) & (funcGraphProp2 = $true) & (upairset2IR = $true) & (subsetE = $true) & (app = $true) & (inPowerset = $true) & (setukpairinjR11 = $true) & (setadjoinAx = $true) & (funcextLem = $true) & (setminusI = $true) & (upairset2E = $true) & (doubleComplementEq = $true) & (kpairsurjEq = $true) & (brelnall2 = $true) & (omega__Cong = $true) & (complementSubsetComplementIntersect = $true) & (emptysetAx = $true) & (prop2setE = $true) & (apProp = $true) & (subbreln1 = $true) & (breln1compEex = $true) & (setOfPairsIsBReln = $true) & (kfstpairEq = $true) & (dpsetconstrER = $true) & (breln1unionIL = $true) & (dpsetconstrEL1 = $true) & (dsetconstrEL = $true) & (setadjoinOr = $true) & (subbreln = $true) & (demorgan1a = $true) & (binunionTILcontra = $true) & (ex1I = $true) & (setminusERneg = $true) & (woz1_5 = $true) & (setminusEL = $true) & (woz13rule1 = $true) & (cartprodmempair = $true) & (theprop = $true) & (setminusELneg = $true) & ? [X0 : $i,X1 : $i] : (? [X2 : $i] : (? [X3 : $i] : (((in @ X3 @ X1) = $true) & ? [X4 : $i] : (((in @ (kpair @ X3 @ X4) @ X0) != $true) & ((in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)) = $true) & ($true = (in @ X4 @ X1)) & ((in @ (kpair @ X3 @ X4) @ X2) != $true))) & ($true = (breln1 @ X1 @ X2))) & ((breln1 @ X1 @ X0) = $true)) & (demorgan2 = $true) & (dpsetconstrI = $true) & (omegaIndAx = $true) & (inComplementUnionImpNotIn1 = $true) & (funcImageSingleton = $true) & (binintersectSubset3 = $true) & (symdiffIneg1 = $true) & (upairsetIR = $true) & (emptysetE = $true) & (setunionsingleton1 = $true) & (binintersectEL = $true) & (upairsubunion = $true) & (iftrueProp2 = $true) & (ap2p = $true) & (setOfPairsIsBReln1 = $true) & (woz13rule4 = $true) & (contrasubsetT1 = $true) & (lamp = $true) & (complementTI1 = $true) & (exuI1 = $true) & (singletonprop = $true) & (symdiffIneg2 = $true) & (eta1 = $true) & (iftrueorfalse = $true) & (setunionI = $true) & (binintersectI = $true) & (setunionsingleton = $true) & (setukpairinjR2 = $true) & (funcext2 = $true) & (lam2p = $true) & (cartprodpairin = $true) & (setext = $true) & (contrasubsetT = $true) & (brelnall1 = $true) & (contraSubsetComplement = $true) & (inIntersectImpInIntersectUnions = $true) & (breln1invI = $true) & (setukpairIL = $true) & (binunionTEcontra = $true) & (exuE3u = $true) & (upairsetE = $true) & (nonemptyE1 = $true) & (iffalse = $true) & (cartprodpairmemEL = $true) & (funcext = $true) & (woz1_2 = $true) & (binintersectSubset4 = $true) & (setukpairinjL = $true) & (exuE2 = $true) & (emptyset__Cong = $true) & (notdexE = $true) & (intersectInPowersetIntersectUnions = $true) & (setunionsingleton2 = $true) & (emptyE1 = $true) & (binintersectER = $true) & (singletoninpowerset = $true) & (powersetT_lem = $true) & (complementTcontraSubset = $true) & (powersetI1 = $true) & (subsetI2 = $true) & (setoftrueEq = $true)),
1.76/0.77	  inference(flattening,[status(thm)],[f1232])).
1.76/0.77	thf(f1232,plain,(
1.76/0.77	  (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i,X1 : $i] : (? [X2 : $i] : (? [X3 : $i] : (? [X4 : $i] : (((((in @ (kpair @ X3 @ X4) @ X0) != $true) & ((in @ (kpair @ X3 @ X4) @ X2) != $true)) & ((in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)) = $true)) & ($true = (in @ X4 @ X1))) & ((in @ X3 @ X1) = $true)) & ($true = (breln1 @ X1 @ X2))) & ((breln1 @ X1 @ X0) = $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)),
1.76/0.77	  inference(ennf_transformation,[status(thm)],[f787])).
1.76/0.77	thf(f787,plain,(
1.76/0.77	  ~((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) => ! [X0 : $i,X1 : $i] : (((breln1 @ X1 @ X0) = $true) => ! [X2 : $i] : (($true = (breln1 @ X1 @ X2)) => ! [X3 : $i] : (((in @ X3 @ X1) = $true) => ! [X4 : $i] : (($true = (in @ X4 @ X1)) => (((in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)) = $true) => (((in @ (kpair @ X3 @ X4) @ X0) = $true) | ((in @ (kpair @ X3 @ X4) @ X2) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.76/0.77	  inference(fool_elimination,[status(thm)],[f786])).
1.76/0.77	thf(f786,plain,(
1.76/0.77	  ~(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 => ! [X0 : $i,X1 : $i] : ((breln1 @ X1 @ X0) => ! [X2 : $i] : ((breln1 @ X1 @ X2) => ! [X3 : $i] : ((in @ X3 @ X1) => ! [X4 : $i] : ((in @ X4 @ X1) => ((in @ (kpair @ X3 @ X4) @ (binunion @ X0 @ X2)) => ((in @ (kpair @ X3 @ X4) @ X0) | (in @ (kpair @ X3 @ X4) @ X2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.76/0.77	  inference(rectify,[status(thm)],[f306])).
1.76/0.77	thf(f306,negated_conjecture,(
1.76/0.77	  ~(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 => ! [X13 : $i,X3 : $i] : ((breln1 @ X3 @ X13) => ! [X15 : $i] : ((breln1 @ X3 @ X15) => ! [X1 : $i] : ((in @ X1 @ X3) => ! [X2 : $i] : ((in @ X2 @ X3) => ((in @ (kpair @ X1 @ X2) @ (binunion @ X13 @ X15)) => ((in @ (kpair @ X1 @ X2) @ X13) | (in @ (kpair @ X1 @ X2) @ X15)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.76/0.77	  inference(negated_conjecture,[status(cth)],[f305])).
1.76/0.77	thf(f305,conjecture,(
1.76/0.77	  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 => ! [X13 : $i,X3 : $i] : ((breln1 @ X3 @ X13) => ! [X15 : $i] : ((breln1 @ X3 @ X15) => ! [X1 : $i] : ((in @ X1 @ X3) => ! [X2 : $i] : ((in @ X2 @ X3) => ((in @ (kpair @ X1 @ X2) @ (binunion @ X13 @ X15)) => ((in @ (kpair @ X1 @ X2) @ X13) | (in @ (kpair @ X1 @ X2) @ X15))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
1.76/0.77	  file('/export/starexec/sandbox2/tmp/tmp.qbTyKAcyo6/E---3.1_29367.p',breln1unionE)).
1.76/0.77	thf(f4878,plain,(
1.76/0.77	  ~spl1017_4),
1.76/0.77	  inference(avatar_contradiction_clause,[status(thm)],[f4877])).
1.76/0.77	thf(f4877,plain,(
1.76/0.77	  $false | ~spl1017_4),
1.76/0.77	  inference(trivial_inequality_removal,[status(thm)],[f4874])).
1.76/0.77	thf(f4874,plain,(
1.76/0.77	  ($true != $true) | ~spl1017_4),
1.76/0.77	  inference(superposition,[status(thm)],[f4072,f4838])).
1.76/0.77	thf(f4838,plain,(
1.76/0.77	  ($true = (in @ (kpair @ sK823 @ sK824) @ sK820)) | ~spl1017_4),
1.76/0.77	  inference(avatar_component_clause,[status(thm)],[f4836])).
1.76/0.77	thf(f4836,definition,(
1.76/0.77	  spl1017_4 <=> ($true = (in @ (kpair @ sK823 @ sK824) @ sK820))),
1.76/0.77	  introduced(definition,[new_symbols(naming,[spl1017_4])],[avatar_definition])).
1.76/0.77	thf(f4072,plain,(
1.76/0.77	  ($true != (in @ (kpair @ sK823 @ sK824) @ sK820))),
1.76/0.77	  inference(cnf_transformation,[status(thm)],[f2603])).
1.76/0.77	thf(f4843,plain,(
1.76/0.77	  spl1017_4 | spl1017_5),
1.76/0.77	  inference(avatar_split_clause,[status(thm)],[f4834,f4840,f4836])).
1.76/0.77	thf(f4834,plain,(
1.76/0.77	  ($true = (in @ (kpair @ sK823 @ sK824) @ sK820)) | ((in @ (kpair @ sK823 @ sK824) @ sK822) = $true)),
1.76/0.77	  inference(trivial_inequality_removal,[status(thm)],[f4833])).
1.76/0.77	thf(f4833,plain,(
1.76/0.77	  ($true = (in @ (kpair @ sK823 @ sK824) @ sK820)) | ((in @ (kpair @ sK823 @ sK824) @ sK822) = $true) | ($true != $true)),
1.76/0.77	  inference(forward_demodulation,[status(thm)],[f4832,f4141])).
1.76/0.78	thf(f4141,plain,(
1.76/0.78	  (binunionE = $true)),
1.76/0.78	  inference(cnf_transformation,[status(thm)],[f2603])).
1.76/0.78	thf(f4832,plain,(
1.76/0.78	  (binunionE != $true) | ($true = (in @ (kpair @ sK823 @ sK824) @ sK820)) | ((in @ (kpair @ sK823 @ sK824) @ sK822) = $true)),
1.76/0.78	  inference(trivial_inequality_removal,[status(thm)],[f4824])).
1.76/0.78	thf(f4824,plain,(
1.76/0.78	  (binunionE != $true) | ($true = (in @ (kpair @ sK823 @ sK824) @ sK820)) | ($true != $true) | ((in @ (kpair @ sK823 @ sK824) @ sK822) = $true)),
1.76/0.78	  inference(superposition,[status(thm)],[f4371,f4071])).
1.76/0.78	thf(f4071,plain,(
1.76/0.78	  ((in @ (kpair @ sK823 @ sK824) @ (binunion @ sK820 @ sK822)) = $true)),
1.76/0.78	  inference(cnf_transformation,[status(thm)],[f2603])).
1.76/0.78	thf(f4371,plain,(
1.76/0.78	  ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ (binunion @ X5 @ X3)) != $true) | ((in @ X4 @ X5) = $true) | ((in @ X4 @ X3) = $true) | (binunionE != $true)) )),
1.76/0.78	  inference(cnf_transformation,[status(thm)],[f2673])).
1.76/0.78	thf(f2673,plain,(
1.76/0.78	  ((binunionE = $true) | (((in @ sK867 @ (binunion @ sK868 @ sK866)) = $true) & ((in @ sK867 @ sK866) != $true) & ((in @ sK867 @ sK868) != $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ (binunion @ X5 @ X3)) != $true) | ((in @ X4 @ X3) = $true) | ((in @ X4 @ X5) = $true)) | (binunionE != $true))),
1.76/0.78	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK866,sK867,sK868])],[f2671,f2672])).
1.76/0.78	thf(f2672,plain,(
1.76/0.78	  ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) & ((in @ X1 @ X0) != $true) & ((in @ X1 @ X2) != $true)) => (((in @ sK867 @ (binunion @ sK868 @ sK866)) = $true) & ((in @ sK867 @ sK866) != $true) & ((in @ sK867 @ sK868) != $true))),
1.76/0.78	  introduced(definition,[],[choice_axiom])).
1.76/0.78	thf(f2671,plain,(
1.76/0.78	  ((binunionE = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) & ((in @ X1 @ X0) != $true) & ((in @ X1 @ X2) != $true))) & (! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ (binunion @ X5 @ X3)) != $true) | ((in @ X4 @ X3) = $true) | ((in @ X4 @ X5) = $true)) | (binunionE != $true))),
1.76/0.78	  inference(rectify,[status(thm)],[f2670])).
1.76/0.78	thf(f2670,plain,(
1.76/0.78	  ((binunionE = $true) | ? [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) & ((in @ X1 @ X0) != $true) & ((in @ X1 @ X2) != $true))) & (! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) != $true) | ((in @ X1 @ X0) = $true) | ((in @ X1 @ X2) = $true)) | (binunionE != $true))),
1.76/0.78	  inference(nnf_transformation,[status(thm)],[f1284])).
1.76/0.78	thf(f1284,plain,(
1.76/0.78	  (binunionE = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) != $true) | ((in @ X1 @ X0) = $true) | ((in @ X1 @ X2) = $true))),
1.76/0.78	  inference(flattening,[status(thm)],[f1283])).
1.76/0.78	thf(f1283,plain,(
1.76/0.78	  (binunionE = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X1 @ X0) = $true) | ((in @ X1 @ X2) = $true)) | ((in @ X1 @ (binunion @ X2 @ X0)) != $true))),
1.76/0.78	  inference(ennf_transformation,[status(thm)],[f609])).
1.76/0.78	thf(f609,plain,(
1.76/0.78	  (binunionE = $true) <=> ! [X0 : $i,X1 : $i,X2 : $i] : (((in @ X1 @ (binunion @ X2 @ X0)) = $true) => (((in @ X1 @ X0) = $true) | ((in @ X1 @ X2) = $true)))),
1.76/0.78	  inference(fool_elimination,[status(thm)],[f608])).
1.76/0.78	thf(f608,plain,(
1.76/0.78	  (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X1 @ (binunion @ X2 @ X0)) => ((in @ X1 @ X2) | (in @ X1 @ X0))) = binunionE)),
1.76/0.78	  inference(rectify,[status(thm)],[f105])).
1.76/0.78	thf(f105,axiom,(
1.76/0.78	  (! [X4 : $i,X1 : $i,X3 : $i] : ((in @ X1 @ (binunion @ X3 @ X4)) => ((in @ X1 @ X3) | (in @ X1 @ X4))) = binunionE)),
1.76/0.78	  file('/export/starexec/sandbox2/tmp/tmp.qbTyKAcyo6/E---3.1_29367.p',binunionE)).
1.76/0.78	% SZS output end Proof for E---3.1_29367
1.76/0.78	% (29498)------------------------------
1.76/0.78	% (29498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
1.76/0.78	% (29498)Termination reason: Refutation
1.76/0.78	
1.76/0.78	% (29498)Memory used [KB]: 11513
1.76/0.78	% (29498)Time elapsed: 0.240 s
1.76/0.78	% (29498)Instructions burned: 465 (million)
1.76/0.78	% (29498)------------------------------
1.76/0.78	% (29498)------------------------------
1.76/0.78	% (29474)Success in time 0.34 s
1.76/0.78	EOF