0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : run_vampire %s %d THM
0.11/0.33	% Computer : n019.cluster.edu
0.11/0.33	% Model    : x86_64 x86_64
0.11/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	% Memory   : 8042.1875MB
0.11/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 1920
0.11/0.33	% WCLimit    : 240
0.11/0.33	% DateTime   : Wed Jul 30 09:06:49 EDT 2025
0.11/0.33	% CPUTime    : 
0.11/0.34	This is a THF_ problem
0.11/0.34	Running higher-order theorem proving
0.11/0.35	Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.CQV8hxFNlR/E---3.1_30222.p -m 16384 -t 240
0.19/0.37	% (30366)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_30222 for (2399ds/275Mi)
0.19/0.37	% (30361)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/183Mi)
0.19/0.37	% (30367)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/18Mi)
0.19/0.37	% (30365)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_30222 for (2399ds/2Mi)
0.19/0.37	% (30364)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/2Mi)
0.19/0.37	% (30362)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_30222 for (2399ds/4Mi)
0.19/0.37	% (30363)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_30222 for (2399ds/27Mi)
0.19/0.37	% (30362)Instruction limit reached!
0.19/0.37	% (30362)------------------------------
0.19/0.37	% (30362)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.37	% (30362)Termination reason: Unknown
0.19/0.37	% (30362)Termination phase: shuffling
0.19/0.37	
0.19/0.37	% (30362)Memory used [KB]: 1407
0.19/0.37	% (30362)Time elapsed: 0.003 s
0.19/0.37	% (30362)Instructions burned: 4 (million)
0.19/0.37	% (30362)------------------------------
0.19/0.37	% (30362)------------------------------
0.19/0.37	% (30364)Instruction limit reached!
0.19/0.37	% (30364)------------------------------
0.19/0.37	% (30364)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.37	% (30364)Termination reason: Unknown
0.19/0.37	% (30364)Termination phase: shuffling
0.19/0.37	
0.19/0.37	% (30364)Memory used [KB]: 1407
0.19/0.37	% (30364)Time elapsed: 0.003 s
0.19/0.37	% (30364)Instructions burned: 4 (million)
0.19/0.37	% (30364)------------------------------
0.19/0.37	% (30364)------------------------------
0.19/0.37	% (30365)Instruction limit reached!
0.19/0.37	% (30365)------------------------------
0.19/0.37	% (30365)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.37	% (30365)Termination reason: Unknown
0.19/0.37	% (30365)Termination phase: shuffling
0.19/0.37	
0.19/0.37	% (30365)Memory used [KB]: 1407
0.19/0.37	% (30365)Time elapsed: 0.003 s
0.19/0.37	% (30365)Instructions burned: 5 (million)
0.19/0.37	% (30365)------------------------------
0.19/0.37	% (30365)------------------------------
0.19/0.38	% (30367)Instruction limit reached!
0.19/0.38	% (30367)------------------------------
0.19/0.38	% (30367)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.38	% (30367)Termination reason: Unknown
0.19/0.38	% (30367)Termination phase: shuffling
0.19/0.38	
0.19/0.38	% (30367)Memory used [KB]: 1663
0.19/0.38	% (30367)Time elapsed: 0.007 s
0.19/0.38	% (30367)Instructions burned: 18 (million)
0.19/0.38	% (30367)------------------------------
0.19/0.38	% (30367)------------------------------
0.19/0.38	% (30363)Instruction limit reached!
0.19/0.38	% (30363)------------------------------
0.19/0.38	% (30363)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.38	% (30363)Termination reason: Unknown
0.19/0.38	% (30363)Termination phase: Property scanning
0.19/0.38	
0.19/0.38	% (30363)Memory used [KB]: 1663
0.19/0.38	% (30363)Time elapsed: 0.010 s
0.19/0.38	% (30363)Instructions burned: 29 (million)
0.19/0.38	% (30363)------------------------------
0.19/0.38	% (30363)------------------------------
0.19/0.38	% (30372)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_30222 for (2399ds/3Mi)
0.19/0.38	% (30373)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_30222 for (2399ds/37Mi)
0.19/0.38	% (30374)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_30222 for (2399ds/15Mi)
0.19/0.38	% (30372)Instruction limit reached!
0.19/0.38	% (30372)------------------------------
0.19/0.38	% (30372)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.38	% (30372)Termination reason: Unknown
0.19/0.38	% (30372)Termination phase: shuffling
0.19/0.38	
0.19/0.38	% (30372)Memory used [KB]: 1407
0.19/0.38	% (30372)Time elapsed: 0.003 s
0.19/0.38	% (30372)Instructions burned: 6 (million)
0.19/0.38	% (30372)------------------------------
0.19/0.38	% (30372)------------------------------
0.19/0.38	% (30366)Refutation not found, incomplete strategy
0.19/0.38	% (30366)------------------------------
0.19/0.38	% (30366)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.38	% (30366)Termination reason: Refutation not found, incomplete strategy
0.19/0.38	
0.19/0.38	
0.19/0.38	% (30366)Memory used [KB]: 6268
0.19/0.38	% (30366)Time elapsed: 0.013 s
0.19/0.38	% (30366)Instructions burned: 40 (million)
0.19/0.38	% (30366)------------------------------
0.19/0.38	% (30366)------------------------------
0.19/0.39	% (30377)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_30222 for (2399ds/3Mi)
0.19/0.39	% (30374)Instruction limit reached!
0.19/0.39	% (30374)------------------------------
0.19/0.39	% (30374)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.39	% (30374)Termination reason: Unknown
0.19/0.39	% (30374)Termination phase: shuffling
0.19/0.39	
0.19/0.39	% (30374)Memory used [KB]: 1663
0.19/0.39	% (30374)Time elapsed: 0.006 s
0.19/0.39	% (30374)Instructions burned: 16 (million)
0.19/0.39	% (30374)------------------------------
0.19/0.39	% (30374)------------------------------
0.19/0.39	% (30377)Instruction limit reached!
0.19/0.39	% (30377)------------------------------
0.19/0.39	% (30377)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.39	% (30377)Termination reason: Unknown
0.19/0.39	% (30377)Termination phase: shuffling
0.19/0.39	
0.19/0.39	% (30377)Memory used [KB]: 1279
0.19/0.39	% (30377)Time elapsed: 0.002 s
0.19/0.39	% (30377)Instructions burned: 3 (million)
0.19/0.39	% (30377)------------------------------
0.19/0.39	% (30377)------------------------------
0.19/0.39	% (30381)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_30222 for (2399ds/1041Mi)
0.19/0.39	% (30373)Instruction limit reached!
0.19/0.39	% (30373)------------------------------
0.19/0.39	% (30373)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.39	% (30373)Termination reason: Unknown
0.19/0.39	% (30373)Termination phase: Property scanning
0.19/0.39	
0.19/0.39	% (30373)Memory used [KB]: 1791
0.19/0.39	% (30373)Time elapsed: 0.011 s
0.19/0.39	% (30373)Instructions burned: 38 (million)
0.19/0.39	% (30373)------------------------------
0.19/0.39	% (30373)------------------------------
0.19/0.39	% (30384)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/7Mi)
0.19/0.39	% (30387)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/16Mi)
0.19/0.39	% (30384)Instruction limit reached!
0.19/0.39	% (30384)------------------------------
0.19/0.39	% (30384)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.39	% (30384)Termination reason: Unknown
0.19/0.39	% (30384)Termination phase: shuffling
0.19/0.39	
0.19/0.39	% (30384)Memory used [KB]: 1407
0.19/0.39	% (30384)Time elapsed: 0.004 s
0.19/0.39	% (30384)Instructions burned: 10 (million)
0.19/0.39	% (30384)------------------------------
0.19/0.39	% (30384)------------------------------
0.19/0.39	% (30388)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_30222 for (2399ds/3Mi)
0.19/0.39	% (30389)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_30222 for (2399ds/3Mi)
0.19/0.40	% (30388)Instruction limit reached!
0.19/0.40	% (30388)------------------------------
0.19/0.40	% (30388)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.40	% (30388)Termination reason: Unknown
0.19/0.40	% (30388)Termination phase: shuffling
0.19/0.40	
0.19/0.40	% (30389)Instruction limit reached!
0.19/0.40	% (30389)------------------------------
0.19/0.40	% (30389)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.40	% (30389)Termination reason: Unknown
0.19/0.40	% (30389)Termination phase: shuffling
0.19/0.40	
0.19/0.40	% (30389)Memory used [KB]: 1279
0.19/0.40	% (30389)Time elapsed: 0.002 s
0.19/0.40	% (30389)Instructions burned: 3 (million)
0.19/0.40	% (30389)------------------------------
0.19/0.40	% (30389)------------------------------
0.19/0.40	% (30388)Memory used [KB]: 1279
0.19/0.40	% (30388)Time elapsed: 0.002 s
0.19/0.40	% (30388)Instructions burned: 3 (million)
0.19/0.40	% (30388)------------------------------
0.19/0.40	% (30388)------------------------------
0.19/0.40	% (30387)Instruction limit reached!
0.19/0.40	% (30387)------------------------------
0.19/0.40	% (30387)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.40	% (30387)Termination reason: Unknown
0.19/0.40	% (30387)Termination phase: shuffling
0.19/0.40	
0.19/0.40	% (30387)Memory used [KB]: 1663
0.19/0.40	% (30387)Time elapsed: 0.006 s
0.19/0.40	% (30387)Instructions burned: 17 (million)
0.19/0.40	% (30387)------------------------------
0.19/0.40	% (30387)------------------------------
0.19/0.40	% (30393)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_30222 for (2399ds/7Mi)
0.19/0.40	% (30393)Instruction limit reached!
0.19/0.40	% (30393)------------------------------
0.19/0.40	% (30393)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.40	% (30393)Termination reason: Unknown
0.19/0.40	% (30393)Termination phase: shuffling
0.19/0.40	
0.19/0.40	% (30393)Memory used [KB]: 1407
0.19/0.40	% (30393)Time elapsed: 0.003 s
0.19/0.40	% (30393)Instructions burned: 7 (million)
0.19/0.40	% (30393)------------------------------
0.19/0.40	% (30393)------------------------------
0.19/0.40	% (30396)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_30222 for (2399ds/3Mi)
0.19/0.40	% (30396)Instruction limit reached!
0.19/0.40	% (30396)------------------------------
0.19/0.40	% (30396)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.40	% (30396)Termination reason: Unknown
0.19/0.40	% (30396)Termination phase: shuffling
0.19/0.40	
0.19/0.40	% (30396)Memory used [KB]: 1279
0.19/0.40	% (30396)Time elapsed: 0.002 s
0.19/0.40	% (30396)Instructions burned: 3 (million)
0.19/0.40	% (30396)------------------------------
0.19/0.40	% (30396)------------------------------
0.19/0.40	% (30397)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/4Mi)
0.19/0.40	% (30398)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_30222 for (2399ds/18Mi)
0.19/0.41	% (30399)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/710Mi)
0.19/0.41	% (30397)Instruction limit reached!
0.19/0.41	% (30397)------------------------------
0.19/0.41	% (30397)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.41	% (30397)Termination reason: Unknown
0.19/0.41	% (30397)Termination phase: shuffling
0.19/0.41	
0.19/0.41	% (30397)Memory used [KB]: 1407
0.19/0.41	% (30397)Time elapsed: 0.003 s
0.19/0.41	% (30397)Instructions burned: 7 (million)
0.19/0.41	% (30397)------------------------------
0.19/0.41	% (30397)------------------------------
0.19/0.41	% (30398)Instruction limit reached!
0.19/0.41	% (30398)------------------------------
0.19/0.41	% (30398)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.41	% (30398)Termination reason: Unknown
0.19/0.41	% (30398)Termination phase: shuffling
0.19/0.41	
0.19/0.41	% (30398)Memory used [KB]: 1663
0.19/0.41	% (30398)Time elapsed: 0.007 s
0.19/0.41	% (30398)Instructions burned: 20 (million)
0.19/0.41	% (30398)------------------------------
0.19/0.41	% (30398)------------------------------
0.19/0.41	% (30401)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/6Mi)
0.19/0.41	% (30361)Instruction limit reached!
0.19/0.41	% (30361)------------------------------
0.19/0.41	% (30361)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.41	% (30361)Termination reason: Unknown
0.19/0.41	% (30361)Termination phase: Function definition elimination
0.19/0.41	
0.19/0.41	% (30361)Memory used [KB]: 2046
0.19/0.41	% (30361)Time elapsed: 0.042 s
0.19/0.41	% (30361)Instructions burned: 186 (million)
0.19/0.41	% (30361)------------------------------
0.19/0.41	% (30361)------------------------------
0.19/0.41	% (30401)Instruction limit reached!
0.19/0.41	% (30401)------------------------------
0.19/0.41	% (30401)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.41	% (30401)Termination reason: Unknown
0.19/0.41	% (30401)Termination phase: shuffling
0.19/0.41	
0.19/0.41	% (30401)Memory used [KB]: 1407
0.19/0.41	% (30401)Time elapsed: 0.003 s
0.19/0.41	% (30401)Instructions burned: 6 (million)
0.19/0.41	% (30401)------------------------------
0.19/0.41	% (30401)------------------------------
0.19/0.41	% (30402)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_30222 for (2399ds/902Mi)
0.19/0.41	% (30404)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_30222 for (2399ds/21Mi)
0.19/0.42	% (30407)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/5Mi)
0.19/0.42	% (30409)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_30222 for (2399ds/6Mi)
0.19/0.42	% (30407)Instruction limit reached!
0.19/0.42	% (30407)------------------------------
0.19/0.42	% (30407)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.42	% (30407)Termination reason: Unknown
0.19/0.42	% (30407)Termination phase: shuffling
0.19/0.42	
0.19/0.42	% (30407)Memory used [KB]: 1407
0.19/0.42	% (30407)Time elapsed: 0.003 s
0.19/0.42	% (30407)Instructions burned: 6 (million)
0.19/0.42	% (30407)------------------------------
0.19/0.42	% (30407)------------------------------
0.19/0.42	% (30410)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/377Mi)
0.19/0.42	% (30404)Instruction limit reached!
0.19/0.42	% (30404)------------------------------
0.19/0.42	% (30404)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.42	% (30404)Termination reason: Unknown
0.19/0.42	% (30404)Termination phase: Property scanning
0.19/0.42	
0.19/0.42	% (30404)Memory used [KB]: 1663
0.19/0.42	% (30404)Time elapsed: 0.008 s
0.19/0.42	% (30404)Instructions burned: 23 (million)
0.19/0.42	% (30404)------------------------------
0.19/0.42	% (30404)------------------------------
0.19/0.42	% (30409)Instruction limit reached!
0.19/0.42	% (30409)------------------------------
0.19/0.42	% (30409)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.42	% (30409)Termination reason: Unknown
0.19/0.42	% (30409)Termination phase: shuffling
0.19/0.42	
0.19/0.42	% (30409)Memory used [KB]: 1407
0.19/0.42	% (30409)Time elapsed: 0.003 s
0.19/0.42	% (30409)Instructions burned: 6 (million)
0.19/0.42	% (30409)------------------------------
0.19/0.42	% (30409)------------------------------
0.19/0.43	% (30414)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_30222 for (2399ds/779Mi)
0.19/0.43	% (30415)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_30222 for (2399ds/19Mi)
0.19/0.43	% (30417)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_30222 for (2399ds/879Mi)
0.19/0.43	% (30402)Refutation not found, incomplete strategy
0.19/0.43	% (30402)------------------------------
0.19/0.43	% (30402)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.43	% (30402)Termination reason: Refutation not found, incomplete strategy
0.19/0.43	
0.19/0.43	
0.19/0.43	% (30402)Memory used [KB]: 6396
0.19/0.43	% (30402)Time elapsed: 0.023 s
0.19/0.43	% (30402)Instructions burned: 76 (million)
0.19/0.43	% (30402)------------------------------
0.19/0.43	% (30402)------------------------------
0.19/0.44	% (30415)Instruction limit reached!
0.19/0.44	% (30415)------------------------------
0.19/0.44	% (30415)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.44	% (30415)Termination reason: Unknown
0.19/0.44	% (30415)Termination phase: shuffling
0.19/0.44	
0.19/0.44	% (30415)Memory used [KB]: 1663
0.19/0.44	% (30415)Time elapsed: 0.007 s
0.19/0.44	% (30415)Instructions burned: 22 (million)
0.19/0.44	% (30415)------------------------------
0.19/0.44	% (30415)------------------------------
0.19/0.44	% (30424)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/17Mi)
0.19/0.44	% (30425)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/3Mi)
0.19/0.45	% (30425)Instruction limit reached!
0.19/0.45	% (30425)------------------------------
0.19/0.45	% (30425)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.45	% (30425)Termination reason: Unknown
0.19/0.45	% (30425)Termination phase: shuffling
0.19/0.45	
0.19/0.45	% (30425)Memory used [KB]: 1279
0.19/0.45	% (30425)Time elapsed: 0.002 s
0.19/0.45	% (30425)Instructions burned: 3 (million)
0.19/0.45	% (30425)------------------------------
0.19/0.45	% (30425)------------------------------
0.19/0.45	% (30424)Instruction limit reached!
0.19/0.45	% (30424)------------------------------
0.19/0.45	% (30424)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.45	% (30424)Termination reason: Unknown
0.19/0.45	% (30424)Termination phase: shuffling
0.19/0.45	
0.19/0.45	% (30424)Memory used [KB]: 1663
0.19/0.45	% (30424)Time elapsed: 0.006 s
0.19/0.45	% (30424)Instructions burned: 17 (million)
0.19/0.45	% (30424)------------------------------
0.19/0.45	% (30424)------------------------------
0.19/0.45	% (30428)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_30222 for (2399ds/30Mi)
0.19/0.46	% (30430)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_30222 for (2399ds/127Mi)
0.19/0.46	% (30428)Instruction limit reached!
0.19/0.46	% (30428)------------------------------
0.19/0.46	% (30428)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.46	% (30428)Termination reason: Unknown
0.19/0.46	% (30428)Termination phase: Property scanning
0.19/0.46	
0.19/0.46	% (30428)Memory used [KB]: 1663
0.19/0.46	% (30428)Time elapsed: 0.010 s
0.19/0.46	% (30428)Instructions burned: 33 (million)
0.19/0.46	% (30428)------------------------------
0.19/0.46	% (30428)------------------------------
0.19/0.47	% (30434)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_30222 for (2399ds/100Mi)
0.19/0.47	% (30414)First to succeed.
0.19/0.48	% (30414)Refutation found. Thanks to Tanya!
0.19/0.48	% SZS status Theorem for E---3.1_30222
0.19/0.48	% SZS output start Proof for E---3.1_30222
0.19/0.48	thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
0.19/0.48	thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
0.19/0.48	thf(func_def_3, type, eps: ($i > $o) > $i).
0.19/0.48	thf(func_def_4, type, in: $i > $i > $o).
0.19/0.48	thf(func_def_5, type, d_Subq: $i > $i > $o).
0.19/0.48	thf(func_def_7, type, union: $i > $i).
0.19/0.48	thf(func_def_8, type, power: $i > $i).
0.19/0.48	thf(func_def_9, type, repl: $i > ($i > $i) > $i).
0.19/0.48	thf(func_def_10, type, d_Union_closed: $i > $o).
0.19/0.48	thf(func_def_11, type, d_Power_closed: $i > $o).
0.19/0.48	thf(func_def_12, type, d_Repl_closed: $i > $o).
0.19/0.48	thf(func_def_13, type, d_ZF_closed: $i > $o).
0.19/0.48	thf(func_def_14, type, univof: $i > $i).
0.19/0.48	thf(func_def_15, type, if: $o > $i > $i > $i).
0.19/0.48	thf(func_def_16, type, nIn: $i > $i > $o).
0.19/0.48	thf(func_def_17, type, d_UPair: $i > $i > $i).
0.19/0.48	thf(func_def_18, type, d_Sing: $i > $i).
0.19/0.48	thf(func_def_19, type, binunion: $i > $i > $i).
0.19/0.48	thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
0.19/0.48	thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
0.19/0.48	thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
0.19/0.48	thf(func_def_23, type, setminus: $i > $i > $i).
0.19/0.48	thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
0.19/0.48	thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
0.19/0.48	thf(func_def_26, type, ordsucc: $i > $i).
0.19/0.48	thf(func_def_27, type, nat_p: $i > $o).
0.19/0.48	thf(func_def_29, type, d_Inj1: $i > $i).
0.19/0.48	thf(func_def_30, type, d_Inj0: $i > $i).
0.19/0.48	thf(func_def_31, type, d_Unj: $i > $i).
0.19/0.48	thf(func_def_32, type, pair: $i > $i > $i).
0.19/0.48	thf(func_def_33, type, proj0: $i > $i).
0.19/0.48	thf(func_def_34, type, proj1: $i > $i).
0.19/0.48	thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
0.19/0.48	thf(func_def_36, type, setprod: $i > $i > $i).
0.19/0.48	thf(func_def_37, type, ap: $i > $i > $i).
0.19/0.48	thf(func_def_38, type, pair_p: $i > $o).
0.19/0.48	thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
0.19/0.48	thf(func_def_40, type, imp: $o > $o > $o).
0.19/0.48	thf(func_def_41, type, d_not: $o > $o).
0.19/0.48	thf(func_def_42, type, wel: $o > $o).
0.19/0.48	thf(func_def_44, type, l_ec: $o > $o > $o).
0.19/0.48	thf(func_def_45, type, d_and: $o > $o > $o).
0.19/0.48	thf(func_def_46, type, l_or: $o > $o > $o).
0.19/0.48	thf(func_def_47, type, orec: $o > $o > $o).
0.19/0.48	thf(func_def_48, type, l_iff: $o > $o > $o).
0.19/0.48	thf(func_def_49, type, all: $i > ($i > $o) > $o).
0.19/0.48	thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
0.19/0.48	thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
0.19/0.48	thf(func_def_52, type, or3: $o > $o > $o > $o).
0.19/0.48	thf(func_def_53, type, and3: $o > $o > $o > $o).
0.19/0.48	thf(func_def_54, type, ec3: $o > $o > $o > $o).
0.19/0.48	thf(func_def_55, type, orec3: $o > $o > $o > $o).
0.19/0.48	thf(func_def_56, type, e_is: $i > $i > $i > $o).
0.19/0.48	thf(func_def_57, type, amone: $i > ($i > $o) > $o).
0.19/0.48	thf(func_def_58, type, one: $i > ($i > $o) > $o).
0.19/0.48	thf(func_def_59, type, ind: $i > ($i > $o) > $i).
0.19/0.48	thf(func_def_60, type, injective: $i > $i > $i > $o).
0.19/0.48	thf(func_def_61, type, image: $i > $i > $i > $i > $o).
0.19/0.48	thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
0.19/0.48	thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
0.19/0.48	thf(func_def_64, type, inverse: $i > $i > $i > $i).
0.19/0.48	thf(func_def_65, type, surjective: $i > $i > $i > $o).
0.19/0.48	thf(func_def_66, type, bijective: $i > $i > $i > $o).
0.19/0.48	thf(func_def_67, type, invf: $i > $i > $i > $i).
0.19/0.48	thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
0.19/0.48	thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
0.19/0.48	thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
0.19/0.48	thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
0.19/0.48	thf(func_def_72, type, first: $i > $i > $i > $i).
0.19/0.48	thf(func_def_73, type, second: $i > $i > $i > $i).
0.19/0.48	thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
0.19/0.48	thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
0.19/0.48	thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
0.19/0.48	thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
0.19/0.48	thf(func_def_78, type, wissel: $i > $i > $i > $i).
0.19/0.48	thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
0.19/0.48	thf(func_def_80, type, r_ec: $o > $o > $o).
0.19/0.48	thf(func_def_81, type, esti: $i > $i > $i > $o).
0.19/0.48	thf(func_def_82, type, empty: $i > $i > $o).
0.19/0.48	thf(func_def_83, type, nonempty: $i > $i > $o).
0.19/0.48	thf(func_def_84, type, incl: $i > $i > $i > $o).
0.19/0.48	thf(func_def_85, type, st_disj: $i > $i > $i > $o).
0.19/0.48	thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
0.19/0.48	thf(func_def_87, type, unmore: $i > $i > $i > $i).
0.19/0.48	thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
0.19/0.48	thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
0.19/0.48	thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
0.19/0.48	thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
0.19/0.48	thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
0.19/0.48	thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
0.19/0.48	thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
0.19/0.48	thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
0.19/0.48	thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
0.19/0.48	thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
0.19/0.48	thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
0.19/0.48	thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
0.19/0.48	thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
0.19/0.48	thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
0.19/0.48	thf(func_def_103, type, n_is: $i > $i > $o).
0.19/0.48	thf(func_def_104, type, nis: $i > $i > $o).
0.19/0.48	thf(func_def_105, type, n_in: $i > $i > $o).
0.19/0.48	thf(func_def_106, type, n_some: ($i > $o) > $o).
0.19/0.48	thf(func_def_107, type, n_all: ($i > $o) > $o).
0.19/0.48	thf(func_def_108, type, n_one: ($i > $o) > $o).
0.19/0.48	thf(func_def_110, type, cond1: $i > $o).
0.19/0.48	thf(func_def_111, type, cond2: $i > $o).
0.19/0.48	thf(func_def_112, type, i1_s: ($i > $o) > $i).
0.19/0.48	thf(func_def_113, type, d_22_prop1: $i > $o).
0.19/0.48	thf(func_def_114, type, d_23_prop1: $i > $o).
0.19/0.48	thf(func_def_115, type, d_24_prop1: $i > $o).
0.19/0.48	thf(func_def_116, type, d_24_prop2: $i > $i > $o).
0.19/0.48	thf(func_def_117, type, prop3: $i > $i > $i > $o).
0.19/0.48	thf(func_def_118, type, prop4: $i > $o).
0.19/0.48	thf(func_def_119, type, d_24_g: $i > $i).
0.19/0.48	thf(func_def_120, type, plus: $i > $i).
0.19/0.48	thf(func_def_121, type, n_pl: $i > $i > $i).
0.19/0.48	thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
0.19/0.48	thf(func_def_123, type, d_26_prop1: $i > $i > $o).
0.19/0.48	thf(func_def_124, type, d_27_prop1: $i > $i > $o).
0.19/0.48	thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
0.19/0.48	thf(func_def_126, type, diffprop: $i > $i > $i > $o).
0.19/0.48	thf(func_def_127, type, d_29_ii: $i > $i > $o).
0.19/0.48	thf(func_def_128, type, iii: $i > $i > $o).
0.19/0.48	thf(func_def_129, type, d_29_prop1: $i > $i > $o).
0.19/0.48	thf(func_def_130, type, moreis: $i > $i > $o).
0.19/0.48	thf(func_def_131, type, lessis: $i > $i > $o).
0.19/0.48	thf(func_def_152, type, sK1: ($i > $o) > $i).
0.19/0.48	thf(func_def_154, type, sK3: ($i > $i) > $i > ($i > $i) > $i).
0.19/0.48	thf(func_def_155, type, ph4: !>[X0: $tType]:(X0)).
0.19/0.48	thf(f1305,plain,(
0.19/0.48	  $false),
0.19/0.48	  inference(trivial_inequality_removal,[],[f1303])).
0.19/0.48	thf(f1303,plain,(
0.19/0.48	  ($true = $false)),
0.19/0.48	  inference(backward_demodulation,[],[f985,f1299])).
0.19/0.48	thf(f1299,plain,(
0.19/0.48	  ((in @ sK2 @ nat) = $false)),
0.19/0.48	  inference(trivial_inequality_removal,[],[f1295])).
0.19/0.48	thf(f1295,plain,(
0.19/0.48	  ($true = $false) | ((in @ sK2 @ nat) = $false)),
0.19/0.48	  inference(superposition,[],[f984,f1291])).
0.19/0.48	thf(f1291,plain,(
0.19/0.48	  ( ! [X0 : $i] : (((d_29_ii @ (ordsucc @ X0) @ X0) = $true) | ((in @ X0 @ nat) = $false)) )),
0.19/0.48	  inference(trivial_inequality_removal,[],[f1290])).
0.19/0.48	thf(f1290,plain,(
0.19/0.48	  ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($true = $false) | ((d_29_ii @ (ordsucc @ X0) @ X0) = $true)) )),
0.19/0.48	  inference(forward_demodulation,[],[f1280,f715])).
0.19/0.48	thf(f715,plain,(
0.19/0.48	  ($true = (in @ (ordsucc @ emptyset) @ nat))),
0.19/0.48	  inference(beta_eta_normalization,[],[f669])).
0.19/0.48	thf(f669,plain,(
0.19/0.48	  ($true = ((^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))) @ (ordsucc @ emptyset) @ (^[Y0 : $i]: (in @ Y0 @ nat))))),
0.19/0.48	  inference(definition_unfolding,[],[f618,f609,f607])).
0.19/0.48	thf(f607,plain,(
0.19/0.48	  ((ordsucc @ emptyset) = n_1)),
0.19/0.48	  inference(cnf_transformation,[],[f418])).
0.19/0.48	thf(f418,plain,(
0.19/0.48	  ((ordsucc @ emptyset) = n_1)),
0.19/0.48	  inference(fool_elimination,[],[f102])).
0.19/0.48	thf(f102,axiom,(
0.19/0.48	  ((ordsucc @ emptyset) = n_1)),
0.19/0.48	  file('/export/starexec/sandbox2/tmp/tmp.CQV8hxFNlR/E---3.1_30222.p',def_n_1)).
0.19/0.48	thf(f609,plain,(
0.19/0.48	  (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
0.19/0.48	  inference(cnf_transformation,[],[f448])).
0.19/0.48	thf(f448,plain,(
0.19/0.48	  (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
0.19/0.48	  inference(fool_elimination,[],[f1])).
0.19/0.48	thf(f1,axiom,(
0.19/0.48	  (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
0.19/0.48	  file('/export/starexec/sandbox2/tmp/tmp.CQV8hxFNlR/E---3.1_30222.p',def_is_of)).
0.19/0.48	thf(f618,plain,(
0.19/0.48	  ($true = (is_of @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat))))),
0.19/0.48	  inference(cnf_transformation,[],[f568])).
0.19/0.48	thf(f568,plain,(
0.19/0.48	  ($true = (is_of @ n_1 @ (^[Y0 : $i]: (in @ Y0 @ nat))))),
0.19/0.48	  inference(fool_elimination,[],[f567])).
0.19/0.48	thf(f567,plain,(
0.19/0.48	  (is_of @ n_1 @ (^[X0 : $i] : (in @ X0 @ nat)))),
0.19/0.48	  inference(rectify,[],[f108])).
0.19/0.48	thf(f108,axiom,(
0.19/0.48	  (is_of @ n_1 @ (^[X0 : $i] : (in @ X0 @ nat)))),
0.19/0.48	  file('/export/starexec/sandbox2/tmp/tmp.CQV8hxFNlR/E---3.1_30222.p',n_1_p)).
0.19/0.48	thf(f1280,plain,(
0.19/0.48	  ( ! [X0 : $i] : (((d_29_ii @ (ordsucc @ X0) @ X0) = $true) | ((in @ X0 @ nat) = $false) | ((in @ (ordsucc @ emptyset) @ nat) = $false)) )),
0.19/0.48	  inference(duplicate_literal_removal,[],[f1275])).
0.19/0.48	thf(f1275,plain,(
0.19/0.48	  ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ((in @ (ordsucc @ emptyset) @ nat) = $false) | ((d_29_ii @ (ordsucc @ X0) @ X0) = $true) | ((in @ X0 @ nat) = $false)) )),
0.19/0.48	  inference(superposition,[],[f1004,f780])).
0.19/0.48	thf(f780,plain,(
0.19/0.48	  ( ! [X1 : $i] : (((ordsucc @ X1) = (n_pl @ X1 @ (ordsucc @ emptyset))) | ((in @ X1 @ nat) = $false)) )),
0.19/0.48	  inference(equality_proxy_clausification,[],[f779])).
0.19/0.48	thf(f779,plain,(
0.19/0.48	  ( ! [X1 : $i] : (($true = ((ordsucc @ X1) = (n_pl @ X1 @ (ordsucc @ emptyset)))) | ((in @ X1 @ nat) = $false)) )),
0.19/0.48	  inference(binary_proxy_clausification,[],[f778])).
0.19/0.48	thf(f778,plain,(
0.19/0.48	  ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => ((ordsucc @ X1) = (n_pl @ X1 @ (ordsucc @ emptyset)))))) )),
0.19/0.48	  inference(beta_eta_normalization,[],[f777])).
0.19/0.48	thf(f777,plain,(
0.19/0.48	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ Y0 @ (ordsucc @ emptyset))))) @ X1))) )),
0.19/0.48	  inference(pi_clausification,[],[f718])).
0.19/0.48	thf(f718,plain,(
0.19/0.48	  ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ Y0 @ (ordsucc @ emptyset)))))))),
0.19/0.48	  inference(beta_eta_normalization,[],[f687])).
0.19/0.48	thf(f687,plain,(
0.19/0.48	  ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))))) @ nat @ (ordsucc @ Y0) @ (n_pl @ Y0 @ (ordsucc @ emptyset))))))),
0.19/0.48	  inference(definition_unfolding,[],[f651,f656,f657,f607])).
0.19/0.48	thf(f657,plain,(
0.19/0.48	  (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
0.19/0.48	  inference(definition_unfolding,[],[f645,f629])).
0.19/0.48	thf(f629,plain,(
0.19/0.48	  (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
0.19/0.48	  inference(cnf_transformation,[],[f541])).
0.19/0.48	thf(f541,plain,(
0.19/0.48	  (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
0.19/0.48	  inference(fool_elimination,[],[f540])).
0.19/0.48	thf(f540,plain,(
0.19/0.48	  ((^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))) = e_is)),
0.19/0.48	  inference(rectify,[],[f49])).
0.19/0.48	thf(f49,axiom,(
0.19/0.48	  ((^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))) = e_is)),
0.19/0.48	  file('/export/starexec/sandbox2/tmp/tmp.CQV8hxFNlR/E---3.1_30222.p',def_e_is)).
0.19/0.48	thf(f645,plain,(
0.19/0.48	  (n_is = (e_is @ nat))),
0.19/0.48	  inference(cnf_transformation,[],[f551])).
0.19/0.48	thf(f551,plain,(
0.19/0.48	  (n_is = (e_is @ nat))),
0.19/0.48	  inference(fool_elimination,[],[f96])).
0.19/0.48	thf(f96,axiom,(
0.19/0.48	  (n_is = (e_is @ nat))),
0.19/0.48	  file('/export/starexec/sandbox2/tmp/tmp.CQV8hxFNlR/E---3.1_30222.p',def_n_is)).
0.19/0.48	thf(f656,plain,(
0.19/0.48	  (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
0.19/0.48	  inference(definition_unfolding,[],[f622,f609])).
0.19/0.48	thf(f622,plain,(
0.19/0.48	  (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
0.19/0.48	  inference(cnf_transformation,[],[f309])).
0.19/0.48	thf(f309,plain,(
0.19/0.48	  (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
0.19/0.48	  inference(fool_elimination,[],[f308])).
0.19/0.48	thf(f308,plain,(
0.19/0.48	  ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
0.19/0.48	  inference(rectify,[],[f2])).
0.19/0.48	thf(f2,axiom,(
0.19/0.48	  ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
0.19/0.48	  file('/export/starexec/sandbox2/tmp/tmp.CQV8hxFNlR/E---3.1_30222.p',def_all_of)).
0.19/0.48	thf(f651,plain,(
0.19/0.48	  ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (ordsucc @ Y0) @ (n_pl @ Y0 @ n_1)))))),
0.19/0.48	  inference(cnf_transformation,[],[f549])).
0.19/0.48	thf(f549,plain,(
0.19/0.48	  ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (ordsucc @ Y0) @ (n_pl @ Y0 @ n_1)))))),
0.19/0.48	  inference(fool_elimination,[],[f548])).
0.19/0.48	thf(f548,plain,(
0.19/0.48	  (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (n_is @ (ordsucc @ X1) @ (n_pl @ X1 @ n_1))))),
0.19/0.48	  inference(rectify,[],[f226])).
0.19/0.48	thf(f226,axiom,(
0.19/0.48	  (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (ordsucc @ X0) @ (n_pl @ X0 @ n_1))))),
0.19/0.48	  file('/export/starexec/sandbox2/tmp/tmp.CQV8hxFNlR/E---3.1_30222.p',satz4e)).
0.19/0.48	thf(f1004,plain,(
0.19/0.48	  ( ! [X2 : $i,X1 : $i] : (($true = (d_29_ii @ (n_pl @ X1 @ X2) @ X1)) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
0.19/0.48	  inference(binary_proxy_clausification,[],[f1003])).
0.19/0.48	thf(f1003,plain,(
0.19/0.48	  ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => (d_29_ii @ (n_pl @ X1 @ X2) @ X1))) | ((in @ X1 @ nat) = $false)) )),
0.19/0.48	  inference(beta_eta_normalization,[],[f1002])).
0.19/0.48	thf(f1002,plain,(
0.19/0.48	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (n_pl @ X1 @ Y0) @ X1))) @ X2)) | ((in @ X1 @ nat) = $false)) )),
0.19/0.48	  inference(pi_clausification,[],[f1001])).
0.19/0.48	thf(f1001,plain,(
0.19/0.48	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (n_pl @ X1 @ Y0) @ X1))))) | ((in @ X1 @ nat) = $false)) )),
0.19/0.48	  inference(binary_proxy_clausification,[],[f1000])).
0.19/0.48	thf(f1000,plain,(
0.19/0.48	  ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (n_pl @ X1 @ Y0) @ X1))))) = $true)) )),
0.19/0.48	  inference(beta_eta_normalization,[],[f999])).
0.19/0.48	thf(f999,plain,(
0.19/0.48	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (d_29_ii @ (n_pl @ Y0 @ Y1) @ Y0)))))) @ X1))) )),
0.19/0.48	  inference(pi_clausification,[],[f692])).
0.19/0.48	thf(f692,plain,(
0.19/0.48	  ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (d_29_ii @ (n_pl @ Y0 @ Y1) @ Y0))))))))),
0.19/0.48	  inference(beta_eta_normalization,[],[f685])).
0.19/0.48	thf(f685,plain,(
0.19/0.48	  ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (d_29_ii @ (n_pl @ Y0 @ Y1) @ Y0))))))),
0.19/0.48	  inference(definition_unfolding,[],[f647,f656,f656])).
0.19/0.48	thf(f647,plain,(
0.19/0.48	  ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (d_29_ii @ (n_pl @ Y0 @ Y1) @ Y0))))))),
0.19/0.48	  inference(cnf_transformation,[],[f488])).
0.19/0.48	thf(f488,plain,(
0.19/0.48	  ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (d_29_ii @ (n_pl @ Y0 @ Y1) @ Y0))))))),
0.19/0.48	  inference(fool_elimination,[],[f487])).
0.19/0.48	thf(f487,plain,(
0.19/0.48	  (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (d_29_ii @ (n_pl @ X1 @ X3) @ X1)))))),
0.19/0.48	  inference(rectify,[],[f232])).
0.19/0.48	thf(f232,axiom,(
0.19/0.48	  (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (d_29_ii @ (n_pl @ X0 @ X1) @ X0)))))),
0.19/0.48	  file('/export/starexec/sandbox2/tmp/tmp.CQV8hxFNlR/E---3.1_30222.p',satz18)).
0.19/0.48	thf(f984,plain,(
0.19/0.48	  ($false = (d_29_ii @ (ordsucc @ sK2) @ sK2))),
0.19/0.48	  inference(binary_proxy_clausification,[],[f983])).
0.19/0.48	thf(f983,plain,(
0.19/0.48	  (((in @ sK2 @ nat) => (d_29_ii @ (ordsucc @ sK2) @ sK2)) = $false)),
0.19/0.48	  inference(beta_eta_normalization,[],[f982])).
0.19/0.48	thf(f982,plain,(
0.19/0.48	  (((^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (ordsucc @ Y0) @ Y0))) @ sK2) = $false)),
0.19/0.48	  inference(sigma_clausification,[],[f981])).
0.19/0.48	thf(f981,plain,(
0.19/0.48	  ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (ordsucc @ Y0) @ Y0)))) = $false)),
0.19/0.48	  inference(not_proxy_clausification,[],[f693])).
0.19/0.48	thf(f693,plain,(
0.19/0.48	  ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (d_29_ii @ (ordsucc @ Y0) @ Y0))))))),
0.19/0.48	  inference(beta_eta_normalization,[],[f684])).
0.19/0.48	thf(f684,plain,(
0.19/0.48	  ($true = (~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (d_29_ii @ (ordsucc @ Y0) @ Y0)))))),
0.19/0.48	  inference(definition_unfolding,[],[f644,f656])).
0.19/0.48	thf(f644,plain,(
0.19/0.48	  ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (d_29_ii @ (ordsucc @ Y0) @ Y0)))))),
0.19/0.48	  inference(cnf_transformation,[],[f266])).
0.19/0.48	thf(f266,plain,(
0.19/0.48	  ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (d_29_ii @ (ordsucc @ Y0) @ Y0)))))),
0.19/0.48	  inference(fool_elimination,[],[f265])).
0.19/0.48	thf(f265,plain,(
0.19/0.48	  ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (d_29_ii @ (ordsucc @ X1) @ X1)))),
0.19/0.48	  inference(rectify,[],[f224])).
0.19/0.48	thf(f224,negated_conjecture,(
0.19/0.48	  ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (d_29_ii @ (ordsucc @ X0) @ X0)))),
0.19/0.48	  inference(negated_conjecture,[],[f223])).
0.19/0.48	thf(f223,conjecture,(
0.19/0.48	  (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (d_29_ii @ (ordsucc @ X0) @ X0)))),
0.19/0.48	  file('/export/starexec/sandbox2/tmp/tmp.CQV8hxFNlR/E---3.1_30222.p',satz18b)).
0.19/0.48	thf(f985,plain,(
0.19/0.48	  ($true = (in @ sK2 @ nat))),
0.19/0.48	  inference(binary_proxy_clausification,[],[f983])).
0.19/0.48	% SZS output end Proof for E---3.1_30222
0.19/0.48	% (30414)------------------------------
0.19/0.48	% (30414)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
0.19/0.48	% (30414)Termination reason: Refutation
0.19/0.48	
0.19/0.48	% (30414)Memory used [KB]: 6908
0.19/0.48	% (30414)Time elapsed: 0.047 s
0.19/0.48	% (30414)Instructions burned: 147 (million)
0.19/0.48	% (30414)------------------------------
0.19/0.48	% (30414)------------------------------
0.19/0.48	% (30356)Success in time 0.107 s
0.19/0.48	EOF