0.12/0.16	% Problem    : Vampire---4.8_10224 : TPTP v0.0.0. Released v0.0.0.
0.12/0.18	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.19/0.39	% Computer : n017.cluster.edu
0.19/0.39	% Model    : x86_64 x86_64
0.19/0.39	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.19/0.39	% Memory   : 8042.1875MB
0.19/0.39	% OS       : Linux 3.10.0-693.el7.x86_64
0.19/0.39	% CPULimit   : 1440
0.19/0.39	% WCLimit    : 180
0.19/0.39	% DateTime   : Mon Jul  3 12:34:38 EDT 2023
0.19/0.39	% CPUTime    : 
0.19/0.39	This is a THF_ problem
0.19/0.39	Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.Pnb7yk7h1i/Vampire---4.8_10224 -m 12000  -t 180
0.19/0.43	% (10477)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.19/0.43	% (10479)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi)
0.19/0.43	% (10478)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.19/0.43	% (10481)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.19/0.43	% (10480)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi)
0.19/0.43	% (10482)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi)
0.19/0.43	% (10483)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi)
0.19/0.43	% (10484)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi)
0.19/0.44	% (10483)Instruction limit reached!
0.19/0.44	% (10483)------------------------------
0.19/0.44	% (10483)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.19/0.44	% (10483)Termination reason: Unknown
0.19/0.44	% (10483)Termination phase: shuffling
0.19/0.44	
0.19/0.44	% (10483)Memory used [KB]: 1279
0.19/0.44	% (10483)Time elapsed: 0.005 s
0.19/0.44	% (10483)Instructions burned: 4 (million)
0.19/0.44	% (10483)------------------------------
0.19/0.44	% (10483)------------------------------
0.25/0.44	% (10481)Instruction limit reached!
0.25/0.44	% (10481)------------------------------
0.25/0.44	% (10481)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.44	% (10481)Termination reason: Unknown
0.25/0.44	% (10481)Termination phase: shuffling
0.25/0.44	
0.25/0.44	% (10481)Memory used [KB]: 1535
0.25/0.44	% (10481)Time elapsed: 0.013 s
0.25/0.44	% (10481)Instructions burned: 17 (million)
0.25/0.44	% (10481)------------------------------
0.25/0.44	% (10481)------------------------------
0.25/0.45	% (10485)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 Vampire---4 for (1799ds/21Mi)
0.25/0.45	% (10479)Instruction limit reached!
0.25/0.45	% (10479)------------------------------
0.25/0.45	% (10479)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.45	% (10479)Termination reason: Unknown
0.25/0.45	% (10479)Termination phase: Property scanning
0.25/0.45	
0.25/0.45	% (10479)Memory used [KB]: 1535
0.25/0.45	% (10479)Time elapsed: 0.022 s
0.25/0.45	% (10479)Instructions burned: 35 (million)
0.25/0.45	% (10479)------------------------------
0.25/0.45	% (10479)------------------------------
0.25/0.45	% (10478)Instruction limit reached!
0.25/0.45	% (10478)------------------------------
0.25/0.45	% (10478)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.45	% (10478)Termination reason: Unknown
0.25/0.45	% (10478)Termination phase: Property scanning
0.25/0.45	
0.25/0.45	% (10478)Memory used [KB]: 1535
0.25/0.45	% (10478)Time elapsed: 0.023 s
0.25/0.45	% (10478)Instructions burned: 36 (million)
0.25/0.45	% (10478)------------------------------
0.25/0.45	% (10478)------------------------------
0.25/0.46	% (10486)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.25/0.46	% (10486)Instruction limit reached!
0.25/0.46	% (10486)------------------------------
0.25/0.46	% (10486)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.46	% (10486)Termination reason: Unknown
0.25/0.46	% (10486)Termination phase: shuffling
0.25/0.46	
0.25/0.46	% (10486)Memory used [KB]: 1407
0.25/0.46	% (10486)Time elapsed: 0.007 s
0.25/0.46	% (10486)Instructions burned: 8 (million)
0.25/0.46	% (10486)------------------------------
0.25/0.46	% (10486)------------------------------
0.25/0.46	% (10485)Instruction limit reached!
0.25/0.46	% (10485)------------------------------
0.25/0.46	% (10485)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.46	% (10485)Termination reason: Unknown
0.25/0.46	% (10485)Termination phase: shuffling
0.25/0.46	
0.25/0.46	% (10485)Memory used [KB]: 1535
0.25/0.46	% (10485)Time elapsed: 0.016 s
0.25/0.46	% (10485)Instructions burned: 22 (million)
0.25/0.46	% (10485)------------------------------
0.25/0.46	% (10485)------------------------------
0.25/0.47	% (10487)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi)
0.25/0.47	% (10488)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi)
0.25/0.47	% (10482)Instruction limit reached!
0.25/0.47	% (10482)------------------------------
0.25/0.47	% (10482)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.47	% (10482)Termination reason: Unknown
0.25/0.47	% (10482)Termination phase: Property scanning
0.25/0.47	
0.25/0.47	% (10482)Memory used [KB]: 2174
0.25/0.47	% (10482)Time elapsed: 0.040 s
0.25/0.47	% (10482)Instructions burned: 75 (million)
0.25/0.47	% (10482)------------------------------
0.25/0.47	% (10482)------------------------------
0.25/0.48	% (10489)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi)
0.25/0.48	% (10490)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi)
0.25/0.48	% (10477)Instruction limit reached!
0.25/0.48	% (10477)------------------------------
0.25/0.48	% (10477)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.48	% (10477)Termination reason: Unknown
0.25/0.48	% (10477)Termination phase: Saturation
0.25/0.48	
0.25/0.48	% (10477)Memory used [KB]: 6396
0.25/0.48	% (10477)Time elapsed: 0.051 s
0.25/0.48	% (10477)Instructions burned: 96 (million)
0.25/0.48	% (10477)------------------------------
0.25/0.48	% (10477)------------------------------
0.25/0.48	% (10489)Instruction limit reached!
0.25/0.48	% (10489)------------------------------
0.25/0.48	% (10489)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.48	% (10489)Termination reason: Unknown
0.25/0.48	% (10489)Termination phase: shuffling
0.25/0.48	
0.25/0.48	% (10489)Memory used [KB]: 1407
0.25/0.48	% (10489)Time elapsed: 0.008 s
0.25/0.48	% (10489)Instructions burned: 9 (million)
0.25/0.48	% (10489)------------------------------
0.25/0.48	% (10489)------------------------------
0.25/0.49	% (10492)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi)
0.25/0.50	% (10497)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.25/0.50	% (10498)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.25/0.51	% (10498)Instruction limit reached!
0.25/0.51	% (10498)------------------------------
0.25/0.51	% (10498)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.51	% (10498)Termination reason: Unknown
0.25/0.51	% (10498)Termination phase: shuffling
0.25/0.51	
0.25/0.51	% (10498)Memory used [KB]: 1407
0.25/0.51	% (10498)Time elapsed: 0.011 s
0.25/0.51	% (10498)Instructions burned: 14 (million)
0.25/0.51	% (10498)------------------------------
0.25/0.51	% (10498)------------------------------
0.25/0.51	% (10488)Instruction limit reached!
0.25/0.51	% (10488)------------------------------
0.25/0.51	% (10488)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.51	% (10488)Termination reason: Unknown
0.25/0.51	% (10488)Termination phase: Property scanning
0.25/0.51	
0.25/0.51	% (10488)Memory used [KB]: 1918
0.25/0.51	% (10488)Time elapsed: 0.042 s
0.25/0.51	% (10488)Instructions burned: 71 (million)
0.25/0.51	% (10488)------------------------------
0.25/0.51	% (10488)------------------------------
0.25/0.52	% (10504)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1798ds/2Mi)
0.25/0.52	% (10505)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 Vampire---4 for (1798ds/1041Mi)
0.25/0.52	% (10504)Instruction limit reached!
0.25/0.52	% (10504)------------------------------
0.25/0.52	% (10504)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.52	% (10504)Termination reason: Unknown
0.25/0.52	% (10504)Termination phase: shuffling
0.25/0.52	
0.25/0.52	% (10504)Memory used [KB]: 1279
0.25/0.52	% (10504)Time elapsed: 0.003 s
0.25/0.52	% (10504)Instructions burned: 4 (million)
0.25/0.52	% (10504)------------------------------
0.25/0.52	% (10504)------------------------------
0.25/0.53	% (10497)Instruction limit reached!
0.25/0.53	% (10497)------------------------------
0.25/0.53	% (10497)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.53	% (10497)Termination reason: Unknown
0.25/0.53	% (10497)Termination phase: Property scanning
0.25/0.53	
0.25/0.53	% (10497)Memory used [KB]: 1918
0.25/0.53	% (10497)Time elapsed: 0.034 s
0.25/0.53	% (10497)Instructions burned: 63 (million)
0.25/0.53	% (10497)------------------------------
0.25/0.53	% (10497)------------------------------
0.25/0.53	% (10517)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi)
0.25/0.54	% (10517)Instruction limit reached!
0.25/0.54	% (10517)------------------------------
0.25/0.54	% (10517)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.54	% (10517)Termination reason: Unknown
0.25/0.54	% (10517)Termination phase: shuffling
0.25/0.54	
0.25/0.54	% (10517)Memory used [KB]: 1407
0.25/0.54	% (10517)Time elapsed: 0.005 s
0.25/0.54	% (10517)Instructions burned: 11 (million)
0.25/0.54	% (10517)------------------------------
0.25/0.54	% (10517)------------------------------
0.25/0.54	% (10484)First to succeed.
0.25/0.54	% (10522)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi)
0.25/0.54	% (10484)Refutation found. Thanks to Tanya!
0.25/0.54	% SZS status Theorem for Vampire---4
0.25/0.54	% SZS output start Proof for Vampire---4
0.25/0.54	thf(type_def_5, type, real: $tType).
0.25/0.54	thf(type_def_6, type, set_real: $tType).
0.25/0.54	thf(type_def_8, type, a: $tType).
0.25/0.54	thf(type_def_9, type, set_a: $tType).
0.25/0.54	thf(func_def_0, type, set_real: $tType).
0.25/0.54	thf(func_def_1, type, set_a: $tType).
0.25/0.54	thf(func_def_2, type, real: $tType).
0.25/0.54	thf(func_def_3, type, a: $tType).
0.25/0.54	thf(func_def_4, type, elemen341675809l_real: real > real > set_real).
0.25/0.54	thf(func_def_5, type, elemen154694473ball_a: a > real > set_a).
0.25/0.54	thf(func_def_6, type, auto_l612940ivl0_a: (a > a) > set_a > a > set_real).
0.25/0.54	thf(func_def_7, type, auto_ll_on_flow0_a: (a > a) > set_a > a > real > a).
0.25/0.54	thf(func_def_8, type, abs_abs_real: real > real).
0.25/0.54	thf(func_def_9, type, abs_abs_a: a > a).
0.25/0.54	thf(func_def_10, type, one_one_real: real).
0.25/0.54	thf(func_def_11, type, plus_plus_real: real > real > real).
0.25/0.54	thf(func_def_12, type, plus_plus_a: a > a > a).
0.25/0.54	thf(func_def_13, type, uminus_uminus_a_a: (a > a) > a > a).
0.25/0.54	thf(func_def_14, type, uminus_uminus_real: real > real).
0.25/0.54	thf(func_def_15, type, uminus_uminus_a: a > a).
0.25/0.54	thf(func_def_16, type, zero_zero_real: real).
0.25/0.54	thf(func_def_17, type, zero_zero_a: a).
0.25/0.54	thf(func_def_18, type, if_real: $o > real > real > real).
0.25/0.54	thf(func_def_19, type, initia826609931terval: set_real > $o).
0.25/0.54	thf(func_def_20, type, limit_1865182413oint_a: (a > a) > set_a > a > a > $o).
0.25/0.54	thf(func_def_21, type, limit_94460170oint_a: (a > a) > set_a > a > a > $o).
0.25/0.54	thf(func_def_22, type, line_open_segment_a: a > a > set_a).
0.25/0.54	thf(func_def_23, type, bot_bot_set_real: set_real).
0.25/0.54	thf(func_def_24, type, bot_bot_set_a: set_a).
0.25/0.54	thf(func_def_25, type, ord_less_real: real > real > $o).
0.25/0.54	thf(func_def_26, type, ord_less_a: a > a > $o).
0.25/0.54	thf(func_def_27, type, ord_less_eq_real: real > real > $o).
0.25/0.54	thf(func_def_28, type, ord_less_eq_a: a > a > $o).
0.25/0.54	thf(func_def_29, type, top_top_set_real: set_real).
0.25/0.54	thf(func_def_30, type, period720806154rbit_a: (a > a) > set_a > a > $o).
0.25/0.54	thf(func_def_31, type, period1305449585riod_a: (a > a) > set_a > a > real).
0.25/0.54	thf(func_def_32, type, period138238489rbit_a: (a > a) > set_a > a > $o).
0.25/0.54	thf(func_def_33, type, poinca522724647ment_a: (a > a) > set_a > a > a > $o).
0.25/0.54	thf(func_def_34, type, collect_real: (real > $o) > set_real).
0.25/0.54	thf(func_def_35, type, collect_a: (a > $o) > set_a).
0.25/0.54	thf(func_def_36, type, topolo1710226732a_real: set_a > (a > real) > $o).
0.25/0.54	thf(func_def_37, type, member_real: real > set_real > $o).
0.25/0.54	thf(func_def_38, type, member_a: a > set_a > $o).
0.25/0.54	thf(func_def_39, type, x: set_a).
0.25/0.54	thf(func_def_40, type, a2: a).
0.25/0.54	thf(func_def_41, type, b: a).
0.25/0.54	thf(func_def_42, type, f: a > a).
0.25/0.54	thf(func_def_43, type, p: a).
0.25/0.54	thf(func_def_45, type, x2: a).
0.25/0.54	thf(func_def_52, type, sK0: a > real).
0.25/0.54	thf(func_def_53, type, sK1: real > (a > real) > a).
0.25/0.54	thf(func_def_54, type, sK2: real > (a > real) > a).
0.25/0.54	thf(func_def_55, type, sK3: real).
0.25/0.54	thf(func_def_56, type, sK4: a > real).
0.25/0.54	thf(func_def_57, type, sK5: (a > real) > real > a).
0.25/0.54	thf(func_def_58, type, sK6: (a > real) > real > a).
0.25/0.54	thf(func_def_59, type, sK7: a > real).
0.25/0.54	thf(func_def_60, type, sK8: a > a).
0.25/0.54	thf(func_def_61, type, sK9: a > a).
0.25/0.54	thf(func_def_62, type, sK10: a > a).
0.25/0.54	thf(func_def_63, type, sK11: a > a).
0.25/0.54	thf(func_def_64, type, sK12: (real > $o) > (real > $o) > real).
0.25/0.54	thf(func_def_65, type, sK13: a > a > a > real > real).
0.25/0.54	thf(func_def_66, type, sK14: a > a > a > real > a > real).
0.25/0.54	thf(func_def_67, type, sK15: (a > $o) > (a > $o) > a).
0.25/0.54	thf(func_def_68, type, sK16: a > real).
0.25/0.54	thf(func_def_69, type, sK17: a > real).
0.25/0.54	thf(func_def_71, type, ph19: !>[X0: $tType]:(X0)).
0.25/0.54	thf(f1958,plain,(
0.25/0.54	  $false),
0.25/0.54	  inference(avatar_sat_refutation,[],[f1951,f1957])).
0.25/0.54	thf(f1957,plain,(
0.25/0.54	  ~spl18_13),
0.25/0.54	  inference(avatar_contradiction_clause,[],[f1956])).
0.25/0.54	thf(f1956,plain,(
0.25/0.54	  $false | ~spl18_13),
0.25/0.54	  inference(subsumption_resolution,[],[f1955,f1830])).
0.25/0.54	thf(f1830,plain,(
0.25/0.54	  ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) != $true)),
0.25/0.54	  inference(subsumption_resolution,[],[f1829,f1230])).
0.25/0.54	thf(f1230,plain,(
0.25/0.54	  (zero_zero_real = (sK4 @ p))),
0.25/0.54	  inference(cnf_transformation,[],[f1099])).
0.25/0.54	thf(f1099,plain,(
0.25/0.54	  ((ord_less_real @ zero_zero_real @ sK3) = $true) & ((zero_zero_real = (sK4 @ p)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) = $true) & ! [X2 : a] : (((member_a @ X2 @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((ord_less_real @ (abs_abs_real @ (sK4 @ X2)) @ one_one_real) = $true)) & ! [X3 : a] : (($true = (member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (sK4 @ X3)) @ (line_open_segment_a @ a2 @ b))) | ((member_a @ X3 @ (elemen154694473ball_a @ p @ sK3)) != $true)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) = $true))),
0.25/0.54	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f1096,f1098,f1097])).
0.25/0.54	thf(f1097,plain,(
0.25/0.54	  ? [X0 : real] : (((ord_less_real @ zero_zero_real @ X0) = $true) & ? [X1 : a > real] : ((zero_zero_real = (X1 @ p)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) = $true) & ! [X2 : a] : (((member_a @ X2 @ (elemen154694473ball_a @ p @ X0)) != $true) | ((ord_less_real @ (abs_abs_real @ (X1 @ X2)) @ one_one_real) = $true)) & ! [X3 : a] : (((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment_a @ a2 @ b)) = $true) | ((member_a @ X3 @ (elemen154694473ball_a @ p @ X0)) != $true)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) = $true))) => (((ord_less_real @ zero_zero_real @ sK3) = $true) & ? [X1 : a > real] : ((zero_zero_real = (X1 @ p)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ X1) = $true) & ! [X2 : a] : (((member_a @ X2 @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((ord_less_real @ (abs_abs_real @ (X1 @ X2)) @ one_one_real) = $true)) & ! [X3 : a] : (((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment_a @ a2 @ b)) = $true) | ((member_a @ X3 @ (elemen154694473ball_a @ p @ sK3)) != $true)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ X1) = $true)))),
0.25/0.54	  introduced(choice_axiom,[])).
0.25/0.54	thf(f1098,plain,(
0.25/0.54	  ? [X1 : a > real] : ((zero_zero_real = (X1 @ p)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ X1) = $true) & ! [X2 : a] : (((member_a @ X2 @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((ord_less_real @ (abs_abs_real @ (X1 @ X2)) @ one_one_real) = $true)) & ! [X3 : a] : (((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment_a @ a2 @ b)) = $true) | ((member_a @ X3 @ (elemen154694473ball_a @ p @ sK3)) != $true)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ X1) = $true)) => ((zero_zero_real = (sK4 @ p)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) = $true) & ! [X2 : a] : (((member_a @ X2 @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((ord_less_real @ (abs_abs_real @ (sK4 @ X2)) @ one_one_real) = $true)) & ! [X3 : a] : (($true = (member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (sK4 @ X3)) @ (line_open_segment_a @ a2 @ b))) | ((member_a @ X3 @ (elemen154694473ball_a @ p @ sK3)) != $true)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) = $true))),
0.25/0.54	  introduced(choice_axiom,[])).
0.25/0.54	thf(f1096,plain,(
0.25/0.54	  ? [X0 : real] : (((ord_less_real @ zero_zero_real @ X0) = $true) & ? [X1 : a > real] : ((zero_zero_real = (X1 @ p)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) = $true) & ! [X2 : a] : (((member_a @ X2 @ (elemen154694473ball_a @ p @ X0)) != $true) | ((ord_less_real @ (abs_abs_real @ (X1 @ X2)) @ one_one_real) = $true)) & ! [X3 : a] : (((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X1 @ X3)) @ (line_open_segment_a @ a2 @ b)) = $true) | ((member_a @ X3 @ (elemen154694473ball_a @ p @ X0)) != $true)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) = $true)))),
0.25/0.54	  inference(rectify,[],[f1001])).
0.25/0.54	thf(f1001,plain,(
0.25/0.54	  ? [X0 : real] : (((ord_less_real @ zero_zero_real @ X0) = $true) & ? [X1 : a > real] : ((zero_zero_real = (X1 @ p)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) = $true) & ! [X3 : a] : (((member_a @ X3 @ (elemen154694473ball_a @ p @ X0)) != $true) | ((ord_less_real @ (abs_abs_real @ (X1 @ X3)) @ one_one_real) = $true)) & ! [X2 : a] : (((member_a @ (auto_ll_on_flow0_a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment_a @ a2 @ b)) = $true) | ((member_a @ X2 @ (elemen154694473ball_a @ p @ X0)) != $true)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) = $true)))),
0.25/0.54	  inference(flattening,[],[f1000])).
0.25/0.54	thf(f1000,plain,(
0.25/0.54	  ? [X0 : real] : (? [X1 : a > real] : (((((zero_zero_real = (X1 @ p)) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) = $true)) & ! [X3 : a] : (((member_a @ X3 @ (elemen154694473ball_a @ p @ X0)) != $true) | ((ord_less_real @ (abs_abs_real @ (X1 @ X3)) @ one_one_real) = $true))) & ! [X2 : a] : (((member_a @ (auto_ll_on_flow0_a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment_a @ a2 @ b)) = $true) | ((member_a @ X2 @ (elemen154694473ball_a @ p @ X0)) != $true))) & ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) = $true)) & ((ord_less_real @ zero_zero_real @ X0) = $true))),
0.25/0.54	  inference(ennf_transformation,[],[f504])).
0.25/0.54	thf(f504,plain,(
0.25/0.54	  ~! [X0 : real] : (((ord_less_real @ zero_zero_real @ X0) = $true) => ! [X1 : a > real] : (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) = $true) => (! [X2 : a] : (((member_a @ X2 @ (elemen154694473ball_a @ p @ X0)) = $true) => ((member_a @ (auto_ll_on_flow0_a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment_a @ a2 @ b)) = $true)) => (! [X3 : a] : (((member_a @ X3 @ (elemen154694473ball_a @ p @ X0)) = $true) => ((ord_less_real @ (abs_abs_real @ (X1 @ X3)) @ one_one_real) = $true)) => (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) = $true) => (zero_zero_real != (X1 @ p)))))))),
0.25/0.54	  inference(fool_elimination,[],[f503])).
0.25/0.54	thf(f503,plain,(
0.25/0.54	  ~! [X0 : real] : ((ord_less_real @ zero_zero_real @ X0) => ! [X1 : a > real] : ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) => (! [X2 : a] : ((member_a @ X2 @ (elemen154694473ball_a @ p @ X0)) => (member_a @ (auto_ll_on_flow0_a @ f @ x @ X2 @ (X1 @ X2)) @ (line_open_segment_a @ a2 @ b))) => (! [X3 : a] : ((member_a @ X3 @ (elemen154694473ball_a @ p @ X0)) => (ord_less_real @ (abs_abs_real @ (X1 @ X3)) @ one_one_real)) => ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ X1) => (zero_zero_real != (X1 @ p)))))))),
0.25/0.54	  inference(rectify,[],[f143])).
0.25/0.54	thf(f143,axiom,(
0.25/0.54	  ~! [X40 : real] : ((ord_less_real @ zero_zero_real @ X40) => ! [X41 : a > real] : ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X40) @ X41) => (! [X42 : a] : ((member_a @ X42 @ (elemen154694473ball_a @ p @ X40)) => (member_a @ (auto_ll_on_flow0_a @ f @ x @ X42 @ (X41 @ X42)) @ (line_open_segment_a @ a2 @ b))) => (! [X42 : a] : ((member_a @ X42 @ (elemen154694473ball_a @ p @ X40)) => (ord_less_real @ (abs_abs_real @ (X41 @ X42)) @ one_one_real)) => ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X40) @ X41) => (zero_zero_real != (X41 @ p)))))))),
0.25/0.54	  file('/export/starexec/sandbox/tmp/tmp.Pnb7yk7h1i/Vampire---4.8_10224',fact_3__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062d_At_O_A_092_060lbrakk_0620_A_060_Ad_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_Aflow0_Ay_A_It_Ay_J_A_092_060in_062_A_123a_060_N_N_060b_125_059_A_092_060And_062y_O_Ay_A_092_060in_062_Aball_Ap_Ad_A_092_060Longrightarrow_062_A_092_060bar_062t_Ay_092_060bar_062_A_060_A1_059_Acontinuous__on_A_Iball_Ap_Ad_J_At_059_At_Ap_A_061_A0_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062)).
0.25/0.54	thf(f1829,plain,(
0.25/0.54	  ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) != $true) | (zero_zero_real != (sK4 @ p))),
0.25/0.54	  inference(subsumption_resolution,[],[f1828,f1231])).
0.25/0.54	thf(f1231,plain,(
0.25/0.54	  ((ord_less_real @ zero_zero_real @ sK3) = $true)),
0.25/0.54	  inference(cnf_transformation,[],[f1099])).
0.25/0.54	thf(f1828,plain,(
0.25/0.54	  ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) != $true) | ((ord_less_real @ zero_zero_real @ sK3) != $true) | (zero_zero_real != (sK4 @ p))),
0.25/0.54	  inference(subsumption_resolution,[],[f1822,f1229])).
0.25/0.54	thf(f1229,plain,(
0.25/0.54	  ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) = $true)),
0.25/0.54	  inference(cnf_transformation,[],[f1099])).
0.25/0.54	thf(f1822,plain,(
0.25/0.54	  ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) != $true) | ((ord_less_real @ zero_zero_real @ sK3) != $true) | (zero_zero_real != (sK4 @ p)) | ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) != $true)),
0.25/0.54	  inference(trivial_inequality_removal,[],[f1821])).
0.25/0.54	thf(f1821,plain,(
0.25/0.54	  ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) != $true) | ($true != $true) | ((ord_less_real @ zero_zero_real @ sK3) != $true) | (zero_zero_real != (sK4 @ p))),
0.25/0.54	  inference(duplicate_literal_removal,[],[f1820])).
0.25/0.54	thf(f1820,plain,(
0.25/0.54	  ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) != $true) | ((ord_less_real @ zero_zero_real @ sK3) != $true) | ((ord_less_real @ zero_zero_real @ sK3) != $true) | ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) != $true) | ($true != $true) | (zero_zero_real != (sK4 @ p)) | ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) != $true)),
0.25/0.54	  inference(superposition,[],[f1811,f1708])).
0.25/0.54	thf(f1708,plain,(
0.25/0.54	  ( ! [X0 : a > real,X1 : real] : (((member_a @ (sK2 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true) | (zero_zero_real != (X0 @ p)) | ((ord_less_real @ (abs_abs_real @ (X0 @ (sK1 @ X1 @ X0))) @ one_one_real) != $true) | ((ord_less_real @ zero_zero_real @ X1) != $true)) )),
0.25/0.54	  inference(subsumption_resolution,[],[f1208,f1312])).
0.25/0.54	thf(f1312,plain,(
0.25/0.54	  (thesisa != $true)),
0.25/0.54	  inference(cnf_transformation,[],[f775])).
0.25/0.54	thf(f775,plain,(
0.25/0.54	  (thesisa != $true)),
0.25/0.54	  inference(flattening,[],[f405])).
0.25/0.54	thf(f405,plain,(
0.25/0.54	  ~(thesisa = $true)),
0.25/0.54	  inference(fool_elimination,[],[f404])).
0.25/0.54	thf(f404,plain,(
0.25/0.54	  ~thesisa),
0.25/0.54	  inference(rectify,[],[f132])).
0.25/0.54	thf(f132,negated_conjecture,(
0.25/0.54	  ~thesisa),
0.25/0.54	  inference(negated_conjecture,[],[f131])).
0.25/0.54	thf(f131,conjecture,(
0.25/0.54	  thesisa),
0.25/0.54	  file('/export/starexec/sandbox/tmp/tmp.Pnb7yk7h1i/Vampire---4.8_10224',conj_1)).
0.25/0.54	thf(f1208,plain,(
0.25/0.54	  ( ! [X0 : a > real,X1 : real] : (((ord_less_real @ (abs_abs_real @ (X0 @ (sK1 @ X1 @ X0))) @ one_one_real) != $true) | ((member_a @ (sK2 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true) | (thesisa = $true) | ((ord_less_real @ zero_zero_real @ X1) != $true) | (zero_zero_real != (X0 @ p))) )),
0.25/0.54	  inference(cnf_transformation,[],[f1092])).
0.25/0.54	thf(f1092,plain,(
0.25/0.54	  ! [X0 : a > real,X1 : real] : ((thesisa = $true) | (((ord_less_real @ (abs_abs_real @ (X0 @ (sK1 @ X1 @ X0))) @ one_one_real) != $true) & ((member_a @ (sK1 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true)) | (zero_zero_real != (X0 @ p)) | (((member_a @ (sK2 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true) & ((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK2 @ X1 @ X0) @ (X0 @ (sK2 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b)) != $true)) | ((ord_less_real @ zero_zero_real @ X1) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true))),
0.25/0.54	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f997,f1091,f1090])).
0.25/0.54	thf(f1090,plain,(
0.25/0.54	  ! [X0 : a > real,X1 : real] : (? [X2 : a] : (((ord_less_real @ (abs_abs_real @ (X0 @ X2)) @ one_one_real) != $true) & ((member_a @ X2 @ (elemen154694473ball_a @ p @ X1)) = $true)) => (((ord_less_real @ (abs_abs_real @ (X0 @ (sK1 @ X1 @ X0))) @ one_one_real) != $true) & ((member_a @ (sK1 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true)))),
0.25/0.54	  introduced(choice_axiom,[])).
0.25/0.54	thf(f1091,plain,(
0.25/0.54	  ! [X0 : a > real,X1 : real] : (? [X3 : a] : (((member_a @ X3 @ (elemen154694473ball_a @ p @ X1)) = $true) & ((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X0 @ X3)) @ (line_open_segment_a @ a2 @ b)) != $true)) => (((member_a @ (sK2 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true) & ((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK2 @ X1 @ X0) @ (X0 @ (sK2 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b)) != $true)))),
0.25/0.54	  introduced(choice_axiom,[])).
0.25/0.54	thf(f997,plain,(
0.25/0.54	  ! [X0 : a > real,X1 : real] : ((thesisa = $true) | ? [X2 : a] : (((ord_less_real @ (abs_abs_real @ (X0 @ X2)) @ one_one_real) != $true) & ((member_a @ X2 @ (elemen154694473ball_a @ p @ X1)) = $true)) | (zero_zero_real != (X0 @ p)) | ? [X3 : a] : (((member_a @ X3 @ (elemen154694473ball_a @ p @ X1)) = $true) & ((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X0 @ X3)) @ (line_open_segment_a @ a2 @ b)) != $true)) | ((ord_less_real @ zero_zero_real @ X1) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true))),
0.25/0.54	  inference(flattening,[],[f996])).
0.25/0.54	thf(f996,plain,(
0.25/0.54	  ! [X0 : a > real,X1 : real] : ((((((thesisa = $true) | ? [X3 : a] : (((member_a @ X3 @ (elemen154694473ball_a @ p @ X1)) = $true) & ((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X0 @ X3)) @ (line_open_segment_a @ a2 @ b)) != $true))) | ? [X2 : a] : (((ord_less_real @ (abs_abs_real @ (X0 @ X2)) @ one_one_real) != $true) & ((member_a @ X2 @ (elemen154694473ball_a @ p @ X1)) = $true))) | (zero_zero_real != (X0 @ p))) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true)) | ((ord_less_real @ zero_zero_real @ X1) != $true))),
0.25/0.54	  inference(ennf_transformation,[],[f463])).
0.25/0.54	thf(f463,plain,(
0.25/0.54	  ! [X0 : a > real,X1 : real] : (((ord_less_real @ zero_zero_real @ X1) = $true) => (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) = $true) => ((zero_zero_real = (X0 @ p)) => (! [X2 : a] : (((member_a @ X2 @ (elemen154694473ball_a @ p @ X1)) = $true) => ((ord_less_real @ (abs_abs_real @ (X0 @ X2)) @ one_one_real) = $true)) => (! [X3 : a] : (((member_a @ X3 @ (elemen154694473ball_a @ p @ X1)) = $true) => ((member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X0 @ X3)) @ (line_open_segment_a @ a2 @ b)) = $true)) => (thesisa = $true))))))),
0.25/0.54	  inference(fool_elimination,[],[f462])).
0.25/0.54	thf(f462,plain,(
0.25/0.54	  ! [X0 : a > real,X1 : real] : ((ord_less_real @ zero_zero_real @ X1) => ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) => ((zero_zero_real = (X0 @ p)) => (! [X2 : a] : ((member_a @ X2 @ (elemen154694473ball_a @ p @ X1)) => (ord_less_real @ (abs_abs_real @ (X0 @ X2)) @ one_one_real)) => (! [X3 : a] : ((member_a @ X3 @ (elemen154694473ball_a @ p @ X1)) => (member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (X0 @ X3)) @ (line_open_segment_a @ a2 @ b))) => thesisa)))))),
0.25/0.54	  inference(rectify,[],[f57])).
0.25/0.54	thf(f57,axiom,(
0.25/0.54	  ! [X24 : a > real,X23 : real] : ((ord_less_real @ zero_zero_real @ X23) => ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X23) @ X24) => ((zero_zero_real = (X24 @ p)) => (! [X25 : a] : ((member_a @ X25 @ (elemen154694473ball_a @ p @ X23)) => (ord_less_real @ (abs_abs_real @ (X24 @ X25)) @ one_one_real)) => (! [X25 : a] : ((member_a @ X25 @ (elemen154694473ball_a @ p @ X23)) => (member_a @ (auto_ll_on_flow0_a @ f @ x @ X25 @ (X24 @ X25)) @ (line_open_segment_a @ a2 @ b))) => thesisa)))))),
0.25/0.54	  file('/export/starexec/sandbox/tmp/tmp.Pnb7yk7h1i/Vampire---4.8_10224',conj_0)).
0.25/0.54	thf(f1811,plain,(
0.25/0.54	  ( ! [X0 : real] : (((member_a @ (sK2 @ X0 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK4) != $true) | ((ord_less_real @ zero_zero_real @ X0) != $true) | ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ X0 @ sK4))) @ one_one_real) != $true)) )),
0.25/0.54	  inference(subsumption_resolution,[],[f1809,f1230])).
0.25/0.54	thf(f1809,plain,(
0.25/0.54	  ( ! [X0 : real] : (((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ X0 @ sK4))) @ one_one_real) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK4) != $true) | ((member_a @ (sK2 @ X0 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((ord_less_real @ zero_zero_real @ X0) != $true) | (zero_zero_real != (sK4 @ p))) )),
0.25/0.54	  inference(trivial_inequality_removal,[],[f1805])).
0.25/0.54	thf(f1805,plain,(
0.25/0.54	  ( ! [X0 : real] : (((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ X0 @ sK4))) @ one_one_real) != $true) | (zero_zero_real != (sK4 @ p)) | ((ord_less_real @ zero_zero_real @ X0) != $true) | ($true != $true) | ((member_a @ (sK2 @ X0 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK4) != $true)) )),
0.25/0.54	  inference(superposition,[],[f1709,f1227])).
0.25/0.54	thf(f1227,plain,(
0.25/0.54	  ( ! [X3 : a] : (($true = (member_a @ (auto_ll_on_flow0_a @ f @ x @ X3 @ (sK4 @ X3)) @ (line_open_segment_a @ a2 @ b))) | ((member_a @ X3 @ (elemen154694473ball_a @ p @ sK3)) != $true)) )),
0.25/0.54	  inference(cnf_transformation,[],[f1099])).
0.25/0.54	thf(f1709,plain,(
0.25/0.54	  ( ! [X0 : a > real,X1 : real] : (((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK2 @ X1 @ X0) @ (X0 @ (sK2 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b)) != $true) | ((ord_less_real @ (abs_abs_real @ (X0 @ (sK1 @ X1 @ X0))) @ one_one_real) != $true) | ((ord_less_real @ zero_zero_real @ X1) != $true) | (zero_zero_real != (X0 @ p)) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true)) )),
0.25/0.54	  inference(subsumption_resolution,[],[f1207,f1312])).
0.25/0.54	thf(f1207,plain,(
0.25/0.54	  ( ! [X0 : a > real,X1 : real] : (((ord_less_real @ zero_zero_real @ X1) != $true) | ((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK2 @ X1 @ X0) @ (X0 @ (sK2 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b)) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true) | (zero_zero_real != (X0 @ p)) | ((ord_less_real @ (abs_abs_real @ (X0 @ (sK1 @ X1 @ X0))) @ one_one_real) != $true) | (thesisa = $true)) )),
0.25/0.54	  inference(cnf_transformation,[],[f1092])).
0.25/0.54	thf(f1955,plain,(
0.25/0.54	  ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) = $true) | ~spl18_13),
0.25/0.54	  inference(trivial_inequality_removal,[],[f1954])).
0.25/0.54	thf(f1954,plain,(
0.25/0.54	  ($true != $true) | ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) = $true) | ~spl18_13),
0.25/0.54	  inference(superposition,[],[f1228,f1928])).
0.25/0.54	thf(f1928,plain,(
0.25/0.54	  ((member_a @ (sK1 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) = $true) | ~spl18_13),
0.25/0.54	  inference(avatar_component_clause,[],[f1926])).
0.25/0.54	thf(f1926,plain,(
0.25/0.54	  spl18_13 <=> ((member_a @ (sK1 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) = $true)),
0.25/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl18_13])])).
0.25/0.54	thf(f1228,plain,(
0.25/0.54	  ( ! [X2 : a] : (((member_a @ X2 @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((ord_less_real @ (abs_abs_real @ (sK4 @ X2)) @ one_one_real) = $true)) )),
0.25/0.54	  inference(cnf_transformation,[],[f1099])).
0.25/0.54	thf(f1951,plain,(
0.25/0.54	  spl18_13),
0.25/0.54	  inference(avatar_split_clause,[],[f1950,f1926])).
0.25/0.54	thf(f1950,plain,(
0.25/0.54	  ((member_a @ (sK1 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) = $true)),
0.25/0.54	  inference(subsumption_resolution,[],[f1949,f1231])).
0.25/0.54	thf(f1949,plain,(
0.25/0.54	  ((ord_less_real @ zero_zero_real @ sK3) != $true) | ((member_a @ (sK1 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) = $true)),
0.25/0.54	  inference(subsumption_resolution,[],[f1948,f1229])).
0.25/0.54	thf(f1948,plain,(
0.25/0.54	  ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) != $true) | ((ord_less_real @ zero_zero_real @ sK3) != $true) | ((member_a @ (sK1 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) = $true)),
0.25/0.54	  inference(subsumption_resolution,[],[f1947,f1230])).
0.25/0.54	thf(f1947,plain,(
0.25/0.54	  (zero_zero_real != (sK4 @ p)) | ((member_a @ (sK1 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) = $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) != $true) | ((ord_less_real @ zero_zero_real @ sK3) != $true)),
0.25/0.54	  inference(trivial_inequality_removal,[],[f1944])).
0.25/0.54	thf(f1944,plain,(
0.25/0.54	  ((member_a @ (sK1 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) = $true) | (zero_zero_real != (sK4 @ p)) | ($true != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) != $true) | ((ord_less_real @ zero_zero_real @ sK3) != $true)),
0.25/0.54	  inference(superposition,[],[f1941,f1711])).
0.25/0.54	thf(f1711,plain,(
0.25/0.54	  ( ! [X0 : a > real,X1 : real] : (((member_a @ (sK2 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true) | ((member_a @ (sK1 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true) | ((ord_less_real @ zero_zero_real @ X1) != $true) | (zero_zero_real != (X0 @ p)) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true)) )),
0.25/0.54	  inference(subsumption_resolution,[],[f1206,f1312])).
0.25/0.54	thf(f1206,plain,(
0.25/0.54	  ( ! [X0 : a > real,X1 : real] : (((member_a @ (sK2 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true) | (thesisa = $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true) | ((ord_less_real @ zero_zero_real @ X1) != $true) | (zero_zero_real != (X0 @ p)) | ((member_a @ (sK1 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true)) )),
0.25/0.54	  inference(cnf_transformation,[],[f1092])).
0.25/0.54	thf(f1941,plain,(
0.25/0.54	  ((member_a @ (sK2 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true)),
0.25/0.54	  inference(subsumption_resolution,[],[f1940,f1830])).
0.25/0.54	thf(f1940,plain,(
0.25/0.54	  ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) = $true) | ((member_a @ (sK2 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true)),
0.25/0.54	  inference(subsumption_resolution,[],[f1939,f1231])).
0.25/0.54	thf(f1939,plain,(
0.25/0.54	  ((ord_less_real @ zero_zero_real @ sK3) != $true) | ((member_a @ (sK2 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) = $true)),
0.25/0.54	  inference(subsumption_resolution,[],[f1938,f1229])).
0.25/0.54	thf(f1938,plain,(
0.25/0.54	  ((member_a @ (sK2 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) != $true) | ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) = $true) | ((ord_less_real @ zero_zero_real @ sK3) != $true)),
0.25/0.54	  inference(trivial_inequality_removal,[],[f1937])).
0.25/0.54	thf(f1937,plain,(
0.25/0.54	  ((member_a @ (sK2 @ sK3 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ sK3) @ sK4) != $true) | ((ord_less_real @ zero_zero_real @ sK3) != $true) | ($true != $true) | ((ord_less_real @ (abs_abs_real @ (sK4 @ (sK1 @ sK3 @ sK4))) @ one_one_real) = $true)),
0.25/0.54	  inference(superposition,[],[f1228,f1896])).
0.25/0.54	thf(f1896,plain,(
0.25/0.54	  ( ! [X0 : real] : (((member_a @ (sK1 @ X0 @ sK4) @ (elemen154694473ball_a @ p @ X0)) = $true) | ((member_a @ (sK2 @ X0 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((ord_less_real @ zero_zero_real @ X0) != $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK4) != $true)) )),
0.25/0.54	  inference(subsumption_resolution,[],[f1892,f1230])).
0.25/0.54	thf(f1892,plain,(
0.25/0.54	  ( ! [X0 : real] : ((zero_zero_real != (sK4 @ p)) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK4) != $true) | ((ord_less_real @ zero_zero_real @ X0) != $true) | ((member_a @ (sK2 @ X0 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true) | ((member_a @ (sK1 @ X0 @ sK4) @ (elemen154694473ball_a @ p @ X0)) = $true)) )),
0.25/0.54	  inference(trivial_inequality_removal,[],[f1889])).
0.25/0.54	thf(f1889,plain,(
0.25/0.54	  ( ! [X0 : real] : (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X0) @ sK4) != $true) | ((member_a @ (sK2 @ X0 @ sK4) @ (elemen154694473ball_a @ p @ sK3)) != $true) | (zero_zero_real != (sK4 @ p)) | ($true != $true) | ((ord_less_real @ zero_zero_real @ X0) != $true) | ((member_a @ (sK1 @ X0 @ sK4) @ (elemen154694473ball_a @ p @ X0)) = $true)) )),
0.25/0.54	  inference(superposition,[],[f1710,f1227])).
0.25/0.54	thf(f1710,plain,(
0.25/0.54	  ( ! [X0 : a > real,X1 : real] : (((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK2 @ X1 @ X0) @ (X0 @ (sK2 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b)) != $true) | (zero_zero_real != (X0 @ p)) | ((ord_less_real @ zero_zero_real @ X1) != $true) | ((member_a @ (sK1 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true) | ((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true)) )),
0.25/0.54	  inference(subsumption_resolution,[],[f1205,f1312])).
0.25/0.54	thf(f1205,plain,(
0.25/0.54	  ( ! [X0 : a > real,X1 : real] : (((topolo1710226732a_real @ (elemen154694473ball_a @ p @ X1) @ X0) != $true) | ((member_a @ (sK1 @ X1 @ X0) @ (elemen154694473ball_a @ p @ X1)) = $true) | (zero_zero_real != (X0 @ p)) | ((member_a @ (auto_ll_on_flow0_a @ f @ x @ (sK2 @ X1 @ X0) @ (X0 @ (sK2 @ X1 @ X0))) @ (line_open_segment_a @ a2 @ b)) != $true) | (thesisa = $true) | ((ord_less_real @ zero_zero_real @ X1) != $true)) )),
0.25/0.54	  inference(cnf_transformation,[],[f1092])).
0.25/0.54	% SZS output end Proof for Vampire---4
0.25/0.54	% (10484)------------------------------
0.25/0.54	% (10484)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.25/0.54	% (10484)Termination reason: Refutation
0.25/0.54	
0.25/0.54	% (10484)Memory used [KB]: 7164
0.25/0.54	% (10484)Time elapsed: 0.109 s
0.25/0.54	% (10484)Instructions burned: 222 (million)
0.25/0.54	% (10484)------------------------------
0.25/0.54	% (10484)------------------------------
0.25/0.54	% (10476)Success in time 0.134 s
0.25/0.54	% Vampire---4.8 exiting
0.25/0.54	EOF