0.04/0.13	% Problem    : Vampire---4.8_22502 : TPTP v0.0.0. Released v0.0.0.
0.04/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.14/0.35	% Computer : n025.cluster.edu
0.14/0.35	% Model    : x86_64 x86_64
0.14/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory   : 8042.1875MB
0.14/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1440
0.14/0.35	% WCLimit    : 180
0.14/0.35	% DateTime   : Mon Jul  3 13:02:38 EDT 2023
0.14/0.35	% CPUTime    : 
0.14/0.35	This is a THF_ problem
0.14/0.36	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/sandbox2/tmp/tmp.5mmf7aMrge/Vampire---4.8_22502 -m 12000  -t 180
0.22/0.38	% (22613)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)
0.22/0.38	% (22612)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.22/0.38	% (22615)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.22/0.38	% (22614)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)
0.22/0.38	% (22611)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.22/0.38	% (22616)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)
0.22/0.38	% (22617)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)
0.22/0.38	% (22617)Instruction limit reached!
0.22/0.38	% (22617)------------------------------
0.22/0.38	% (22617)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.38	% (22617)Termination reason: Unknown
0.22/0.38	% (22617)Termination phase: shuffling
0.22/0.38	
0.22/0.38	% (22617)Memory used [KB]: 1023
0.22/0.38	% (22617)Time elapsed: 0.004 s
0.22/0.38	% (22617)Instructions burned: 4 (million)
0.22/0.38	% (22617)------------------------------
0.22/0.38	% (22617)------------------------------
0.22/0.39	% (22615)Instruction limit reached!
0.22/0.39	% (22615)------------------------------
0.22/0.39	% (22615)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.39	% (22615)Termination reason: Unknown
0.22/0.39	% (22615)Termination phase: Property scanning
0.22/0.39	
0.22/0.39	% (22615)Memory used [KB]: 1151
0.22/0.39	% (22615)Time elapsed: 0.010 s
0.22/0.39	% (22615)Instructions burned: 17 (million)
0.22/0.39	% (22615)------------------------------
0.22/0.39	% (22615)------------------------------
0.22/0.39	% (22614)Refutation not found, incomplete strategy
0.22/0.39	% (22614)------------------------------
0.22/0.39	% (22614)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.39	% (22614)Termination reason: Refutation not found, incomplete strategy
0.22/0.39	
0.22/0.39	
0.22/0.39	% (22614)Memory used [KB]: 5628
0.22/0.39	% (22614)Time elapsed: 0.014 s
0.22/0.39	% (22614)Instructions burned: 21 (million)
0.22/0.39	% (22614)------------------------------
0.22/0.39	% (22614)------------------------------
0.22/0.39	% (22613)Instruction limit reached!
0.22/0.39	% (22613)------------------------------
0.22/0.39	% (22613)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.39	% (22613)Termination reason: Unknown
0.22/0.39	% (22613)Termination phase: Saturation
0.22/0.39	
0.22/0.39	% (22613)Memory used [KB]: 5884
0.22/0.39	% (22613)Time elapsed: 0.018 s
0.22/0.39	% (22613)Instructions burned: 34 (million)
0.22/0.39	% (22613)------------------------------
0.22/0.39	% (22613)------------------------------
0.22/0.39	% (22612)Instruction limit reached!
0.22/0.39	% (22612)------------------------------
0.22/0.39	% (22612)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.39	% (22612)Termination reason: Unknown
0.22/0.39	% (22612)Termination phase: Saturation
0.22/0.39	
0.22/0.39	% (22612)Memory used [KB]: 5884
0.22/0.39	% (22612)Time elapsed: 0.019 s
0.22/0.39	% (22612)Instructions burned: 36 (million)
0.22/0.39	% (22618)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)
0.22/0.39	% (22612)------------------------------
0.22/0.39	% (22612)------------------------------
0.22/0.39	% (22619)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)
0.22/0.40	% (22620)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.22/0.40	% (22620)Instruction limit reached!
0.22/0.40	% (22620)------------------------------
0.22/0.40	% (22620)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.40	% (22620)Termination reason: Unknown
0.22/0.40	% (22620)Termination phase: shuffling
0.22/0.40	
0.22/0.40	% (22620)Memory used [KB]: 1151
0.22/0.40	% (22620)Time elapsed: 0.005 s
0.22/0.40	% (22620)Instructions burned: 7 (million)
0.22/0.40	% (22620)------------------------------
0.22/0.40	% (22620)------------------------------
0.22/0.40	% (22619)Instruction limit reached!
0.22/0.40	% (22619)------------------------------
0.22/0.40	% (22619)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.40	% (22619)Termination reason: Unknown
0.22/0.40	% (22619)Termination phase: Property scanning
0.22/0.40	
0.22/0.40	% (22621)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)
0.22/0.40	% (22619)Memory used [KB]: 1151
0.22/0.40	% (22619)Time elapsed: 0.012 s
0.22/0.40	% (22619)Instructions burned: 22 (million)
0.22/0.40	% (22619)------------------------------
0.22/0.40	% (22619)------------------------------
0.22/0.40	% (22618)Refutation not found, incomplete strategy
0.22/0.40	% (22618)------------------------------
0.22/0.40	% (22618)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.40	% (22618)Termination reason: Refutation not found, incomplete strategy
0.22/0.40	
0.22/0.40	
0.22/0.41	% (22618)Memory used [KB]: 5628
0.22/0.41	% (22618)Time elapsed: 0.012 s
0.22/0.41	% (22618)Instructions burned: 20 (million)
0.22/0.41	% (22618)------------------------------
0.22/0.41	% (22618)------------------------------
0.22/0.41	% (22622)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)
0.22/0.41	% (22623)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)
0.22/0.41	% (22623)Instruction limit reached!
0.22/0.41	% (22623)------------------------------
0.22/0.41	% (22623)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.41	% (22623)Termination reason: Unknown
0.22/0.41	% (22623)Termination phase: Property scanning
0.22/0.41	
0.22/0.41	% (22623)Memory used [KB]: 1151
0.22/0.41	% (22623)Time elapsed: 0.007 s
0.22/0.41	% (22623)Instructions burned: 10 (million)
0.22/0.41	% (22623)------------------------------
0.22/0.41	% (22623)------------------------------
0.22/0.42	% (22616)Instruction limit reached!
0.22/0.42	% (22616)------------------------------
0.22/0.42	% (22616)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.42	% (22624)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)
0.22/0.42	% (22616)Termination reason: Unknown
0.22/0.42	% (22616)Termination phase: Saturation
0.22/0.42	
0.22/0.42	% (22616)Memory used [KB]: 6268
0.22/0.42	% (22616)Time elapsed: 0.042 s
0.22/0.42	% (22616)Instructions burned: 74 (million)
0.22/0.42	% (22616)------------------------------
0.22/0.42	% (22616)------------------------------
0.22/0.42	% (22625)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)
0.22/0.42	% (22626)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.22/0.43	% (22611)Instruction limit reached!
0.22/0.43	% (22611)------------------------------
0.22/0.43	% (22611)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.43	% (22611)Termination reason: Unknown
0.22/0.43	% (22611)Termination phase: Saturation
0.22/0.43	
0.22/0.43	% (22611)Memory used [KB]: 6268
0.22/0.43	% (22611)Time elapsed: 0.047 s
0.22/0.43	% (22611)Instructions burned: 96 (million)
0.22/0.43	% (22611)------------------------------
0.22/0.43	% (22611)------------------------------
0.22/0.43	% (22627)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.22/0.43	% (22628)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 (1799ds/2Mi)
0.22/0.43	% (22628)Instruction limit reached!
0.22/0.43	% (22628)------------------------------
0.22/0.43	% (22628)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.43	% (22628)Termination reason: Unknown
0.22/0.43	% (22628)Termination phase: shuffling
0.22/0.43	
0.22/0.43	% (22628)Memory used [KB]: 1023
0.22/0.43	% (22628)Time elapsed: 0.003 s
0.22/0.43	% (22628)Instructions burned: 2 (million)
0.22/0.43	% (22628)------------------------------
0.22/0.43	% (22628)------------------------------
0.22/0.44	% (22627)Instruction limit reached!
0.22/0.44	% (22627)------------------------------
0.22/0.44	% (22627)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.44	% (22627)Termination reason: Unknown
0.22/0.44	% (22627)Termination phase: Function definition elimination
0.22/0.44	
0.22/0.44	% (22627)Memory used [KB]: 1151
0.22/0.44	% (22627)Time elapsed: 0.009 s
0.22/0.44	% (22627)Instructions burned: 15 (million)
0.22/0.44	% (22627)------------------------------
0.22/0.44	% (22627)------------------------------
0.22/0.44	% (22629)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 (1799ds/1041Mi)
0.22/0.45	% (22622)Instruction limit reached!
0.22/0.45	% (22622)------------------------------
0.22/0.45	% (22622)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.45	% (22622)Termination reason: Unknown
0.22/0.45	% (22622)Termination phase: Saturation
0.22/0.45	
0.22/0.45	% (22622)Memory used [KB]: 6268
0.22/0.45	% (22622)Time elapsed: 0.040 s
0.22/0.45	% (22622)Instructions burned: 71 (million)
0.22/0.45	% (22622)------------------------------
0.22/0.45	% (22622)------------------------------
0.22/0.45	% (22630)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 (1799ds/11Mi)
0.22/0.45	% (22631)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 (1799ds/140Mi)
0.22/0.45	% (22626)Instruction limit reached!
0.22/0.45	% (22626)------------------------------
0.22/0.45	% (22626)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.45	% (22626)Termination reason: Unknown
0.22/0.45	% (22626)Termination phase: Saturation
0.22/0.45	
0.22/0.45	% (22626)Memory used [KB]: 6268
0.22/0.45	% (22626)Time elapsed: 0.034 s
0.22/0.45	% (22626)Instructions burned: 61 (million)
0.22/0.45	% (22626)------------------------------
0.22/0.45	% (22626)------------------------------
0.22/0.45	% (22630)Instruction limit reached!
0.22/0.45	% (22630)------------------------------
0.22/0.45	% (22630)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.45	% (22630)Termination reason: Unknown
0.22/0.45	% (22630)Termination phase: Property scanning
0.22/0.45	
0.22/0.45	% (22630)Memory used [KB]: 1151
0.22/0.45	% (22630)Time elapsed: 0.007 s
0.22/0.45	% (22630)Instructions burned: 11 (million)
0.22/0.45	% (22630)------------------------------
0.22/0.45	% (22630)------------------------------
0.22/0.46	% (22631)Refutation not found, incomplete strategy
0.22/0.46	% (22631)------------------------------
0.22/0.46	% (22631)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.46	% (22631)Termination reason: Refutation not found, incomplete strategy
0.22/0.46	
0.22/0.46	
0.22/0.46	% (22631)Memory used [KB]: 5628
0.22/0.46	% (22631)Time elapsed: 0.010 s
0.22/0.46	% (22631)Instructions burned: 15 (million)
0.22/0.46	% (22631)------------------------------
0.22/0.46	% (22631)------------------------------
0.22/0.46	% (22632)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1799ds/26Mi)
0.22/0.46	% (22625)First to succeed.
0.22/0.47	% (22633)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1799ds/56Mi)
0.22/0.47	% (22634)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1799ds/275Mi)
0.22/0.47	% (22625)Refutation found. Thanks to Tanya!
0.22/0.47	% SZS status Theorem for Vampire---4
0.22/0.47	% SZS output start Proof for Vampire---4
0.22/0.47	thf(type_def_5, type, mworld: $tType).
0.22/0.47	thf(func_def_0, type, mworld: $tType).
0.22/0.47	thf(func_def_1, type, mrel: mworld > mworld > $o).
0.22/0.47	thf(func_def_2, type, mactual: mworld).
0.22/0.47	thf(func_def_3, type, mlocal: (mworld > $o) > $o).
0.22/0.47	thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
0.22/0.47	thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
0.22/0.47	thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
0.22/0.47	thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
0.22/0.47	thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
0.22/0.47	thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
0.22/0.47	thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
0.22/0.47	thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
0.22/0.47	thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
0.22/0.47	thf(func_def_15, type, qmltpeq: $i > $i > mworld > $o).
0.22/0.47	thf(func_def_16, type, equal_set: $i > $i > mworld > $o).
0.22/0.47	thf(func_def_17, type, member: $i > $i > mworld > $o).
0.22/0.47	thf(func_def_18, type, subset: $i > $i > mworld > $o).
0.22/0.47	thf(func_def_19, type, singleton: $i > $i).
0.22/0.47	thf(func_def_20, type, product: $i > $i).
0.22/0.47	thf(func_def_21, type, unordered_pair: $i > $i > $i).
0.22/0.47	thf(func_def_22, type, intersection: $i > $i > $i).
0.22/0.47	thf(func_def_23, type, difference: $i > $i > $i).
0.22/0.47	thf(func_def_24, type, sum: $i > $i).
0.22/0.47	thf(func_def_25, type, union: $i > $i > $i).
0.22/0.47	thf(func_def_26, type, power_set: $i > $i).
0.22/0.47	thf(func_def_45, type, ph3: !>[X0: $tType]:(X0)).
0.22/0.47	thf(f673,plain,(
0.22/0.47	  $false),
0.22/0.47	  inference(avatar_sat_refutation,[],[f463,f522,f545,f573,f609,f632,f672])).
0.22/0.47	thf(f672,plain,(
0.22/0.47	  ~spl0_1 | ~spl0_5),
0.22/0.47	  inference(avatar_contradiction_clause,[],[f671])).
0.22/0.47	thf(f671,plain,(
0.22/0.47	  $false | (~spl0_1 | ~spl0_5)),
0.22/0.47	  inference(trivial_inequality_removal,[],[f670])).
0.22/0.47	thf(f670,plain,(
0.22/0.47	  ($false = $true) | (~spl0_1 | ~spl0_5)),
0.22/0.47	  inference(forward_demodulation,[],[f627,f604])).
0.22/0.47	thf(f604,plain,(
0.22/0.47	  ($false = (member @ sK5 @ sK2 @ mactual)) | ~spl0_5),
0.22/0.47	  inference(avatar_component_clause,[],[f602])).
0.22/0.47	thf(f602,plain,(
0.22/0.47	  spl0_5 <=> ($false = (member @ sK5 @ sK2 @ mactual))),
0.22/0.47	  introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
0.22/0.47	thf(f627,plain,(
0.22/0.47	  ((member @ sK5 @ sK2 @ mactual) = $true) | ~spl0_1),
0.22/0.47	  inference(binary_proxy_clausification,[],[f625])).
0.22/0.47	thf(f625,plain,(
0.22/0.47	  (((member @ sK5 @ sK2 @ mactual) & (member @ sK5 @ sK1 @ mactual)) = $true) | ~spl0_1),
0.22/0.47	  inference(boolean_simplification,[],[f622])).
0.22/0.47	thf(f622,plain,(
0.22/0.47	  ((((member @ sK5 @ sK2 @ mactual) & (member @ sK5 @ sK1 @ mactual)) = $true) = $true) | ~spl0_1),
0.22/0.47	  inference(superposition,[],[f315,f585])).
0.22/0.47	thf(f585,plain,(
0.22/0.47	  ((member @ sK5 @ (intersection @ sK1 @ sK2) @ mactual) = $true) | ~spl0_1),
0.22/0.47	  inference(binary_proxy_clausification,[],[f583])).
0.22/0.47	thf(f583,plain,(
0.22/0.47	  ($false = ((member @ sK5 @ (intersection @ sK1 @ sK2) @ mactual) => (member @ sK5 @ (intersection @ sK2 @ sK1) @ mactual))) | ~spl0_1),
0.22/0.47	  inference(beta_eta_normalization,[],[f582])).
0.22/0.47	thf(f582,plain,(
0.22/0.47	  (((^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual) => (member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual))) @ sK5) = $false) | ~spl0_1),
0.22/0.47	  inference(sigma_clausification,[],[f581])).
0.22/0.47	thf(f581,plain,(
0.22/0.47	  ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual) => (member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual))))) | ~spl0_1),
0.22/0.47	  inference(not_proxy_clausification,[],[f580])).
0.22/0.47	thf(f580,plain,(
0.22/0.47	  ((~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual) => (member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual))))) = $true) | ~spl0_1),
0.22/0.47	  inference(boolean_simplification,[],[f574])).
0.22/0.47	thf(f574,plain,(
0.22/0.47	  (((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual) => (member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual)))) = $false) = $true) | ~spl0_1),
0.22/0.47	  inference(superposition,[],[f299,f458])).
0.22/0.47	thf(f458,plain,(
0.22/0.47	  ($false = (subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual)) | ~spl0_1),
0.22/0.47	  inference(avatar_component_clause,[],[f456])).
0.22/0.47	thf(f456,plain,(
0.22/0.47	  spl0_1 <=> ($false = (subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual))),
0.22/0.47	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.22/0.47	thf(f299,plain,(
0.22/0.47	  ( ! [X2 : $i,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ X1 @ mactual) => (member @ Y0 @ X2 @ mactual)))) = (subset @ X1 @ X2 @ mactual)) = $true)) )),
0.22/0.47	  inference(beta_eta_normalization,[],[f298])).
0.22/0.47	thf(f298,plain,(
0.22/0.47	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))) = (subset @ X1 @ Y0 @ mactual))) @ X2) = $true)) )),
0.22/0.47	  inference(pi_clausification,[],[f297])).
0.22/0.47	thf(f297,plain,(
0.22/0.47	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))) = (subset @ X1 @ Y0 @ mactual)))) = $true)) )),
0.22/0.47	  inference(beta_eta_normalization,[],[f296])).
0.22/0.47	thf(f296,plain,(
0.22/0.47	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))) = (subset @ Y0 @ Y1 @ mactual))))) @ X1) = $true)) )),
0.22/0.47	  inference(pi_clausification,[],[f295])).
0.22/0.47	thf(f295,plain,(
0.22/0.47	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))) = (subset @ Y0 @ Y1 @ mactual)))))) = $true)),
0.22/0.47	  inference(beta_eta_normalization,[],[f215])).
0.22/0.47	thf(f215,plain,(
0.22/0.47	  (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) = (Y2 @ Y4))))))) @ (subset @ Y0 @ Y1) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))) = $true)),
0.22/0.47	  inference(definition_unfolding,[],[f181,f140,f164,f164,f177,f164,f175])).
0.22/0.47	thf(f175,plain,(
0.22/0.47	  (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
0.22/0.47	  inference(cnf_transformation,[],[f62])).
0.22/0.47	thf(f62,plain,(
0.22/0.47	  (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
0.22/0.47	  inference(fool_elimination,[],[f61])).
0.22/0.47	thf(f61,plain,(
0.22/0.47	  (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
0.22/0.47	  inference(rectify,[],[f5])).
0.22/0.47	thf(f5,axiom,(
0.22/0.47	  (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
0.22/0.47	  file('/export/starexec/sandbox2/tmp/tmp.5mmf7aMrge/Vampire---4.8_22502',mimplies_def)).
0.22/0.47	thf(f177,plain,(
0.22/0.47	  (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
0.22/0.47	  inference(cnf_transformation,[],[f100])).
0.22/0.47	thf(f100,plain,(
0.22/0.47	  (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) = (Y0 @ Y2))))))))),
0.22/0.47	  inference(fool_elimination,[],[f99])).
0.22/0.47	thf(f99,plain,(
0.22/0.47	  ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X0 @ X2))) = mequiv)),
0.22/0.47	  inference(rectify,[],[f6])).
0.22/0.47	thf(f6,axiom,(
0.22/0.47	  ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) <=> (X1 @ X2))) = mequiv)),
0.22/0.47	  file('/export/starexec/sandbox2/tmp/tmp.5mmf7aMrge/Vampire---4.8_22502',mequiv_def)).
0.22/0.47	thf(f164,plain,(
0.22/0.47	  (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
0.22/0.47	  inference(cnf_transformation,[],[f118])).
0.22/0.47	thf(f118,plain,(
0.22/0.47	  (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
0.22/0.47	  inference(fool_elimination,[],[f117])).
0.22/0.47	thf(f117,plain,(
0.22/0.47	  ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : (X0 @ X2 @ X1))) = mforall_di)),
0.22/0.47	  inference(rectify,[],[f9])).
0.22/0.47	thf(f9,axiom,(
0.22/0.47	  ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : (X1 @ X5 @ X2))) = mforall_di)),
0.22/0.47	  file('/export/starexec/sandbox2/tmp/tmp.5mmf7aMrge/Vampire---4.8_22502',mforall_di_def)).
0.22/0.47	thf(f140,plain,(
0.22/0.47	  (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
0.22/0.47	  inference(cnf_transformation,[],[f60])).
0.22/0.47	thf(f60,plain,(
0.22/0.47	  (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
0.22/0.47	  inference(fool_elimination,[],[f1])).
0.22/0.47	thf(f1,axiom,(
0.22/0.47	  ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
0.22/0.47	  file('/export/starexec/sandbox2/tmp/tmp.5mmf7aMrge/Vampire---4.8_22502',mlocal_def)).
0.22/0.47	thf(f181,plain,(
0.22/0.47	  ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))) = $true)),
0.22/0.47	  inference(cnf_transformation,[],[f55])).
0.22/0.47	thf(f55,plain,(
0.22/0.47	  ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))) = $true)),
0.22/0.47	  inference(fool_elimination,[],[f54])).
0.22/0.47	thf(f54,plain,(
0.22/0.47	  (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (subset @ X0 @ X1) @ (mforall_di @ (^[X2 : $i] : (mimplies @ (member @ X2 @ X0) @ (member @ X2 @ X1))))))))))),
0.22/0.47	  inference(rectify,[],[f19])).
0.22/0.47	thf(f19,axiom,(
0.22/0.47	  (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (subset @ X1 @ X3) @ (mforall_di @ (^[X5 : $i] : (mimplies @ (member @ X5 @ X1) @ (member @ X5 @ X3))))))))))),
0.22/0.47	  file('/export/starexec/sandbox2/tmp/tmp.5mmf7aMrge/Vampire---4.8_22502',subset_0)).
0.22/0.47	thf(f315,plain,(
0.22/0.47	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((member @ X1 @ X3 @ mactual) & (member @ X1 @ X2 @ mactual)) = (member @ X1 @ (intersection @ X2 @ X3) @ mactual)) = $true)) )),
0.22/0.47	  inference(beta_eta_normalization,[],[f314])).
0.22/0.47	thf(f314,plain,(
0.22/0.47	  ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((member @ X1 @ Y0 @ mactual) & (member @ X1 @ X2 @ mactual)) = (member @ X1 @ (intersection @ X2 @ Y0) @ mactual))) @ X3) = $true)) )),
0.22/0.47	  inference(pi_clausification,[],[f313])).
0.22/0.47	thf(f313,plain,(
0.22/0.47	  ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((member @ X1 @ Y0 @ mactual) & (member @ X1 @ X2 @ mactual)) = (member @ X1 @ (intersection @ X2 @ Y0) @ mactual)))) = $true)) )),
0.22/0.47	  inference(beta_eta_normalization,[],[f312])).
0.22/0.47	thf(f312,plain,(
0.22/0.47	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((member @ X1 @ Y1 @ mactual) & (member @ X1 @ Y0 @ mactual)) = (member @ X1 @ (intersection @ Y0 @ Y1) @ mactual))))) @ X2) = $true)) )),
0.22/0.47	  inference(pi_clausification,[],[f311])).
0.22/0.47	thf(f311,plain,(
0.22/0.47	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((member @ X1 @ Y1 @ mactual) & (member @ X1 @ Y0 @ mactual)) = (member @ X1 @ (intersection @ Y0 @ Y1) @ mactual)))))) = $true)) )),
0.22/0.47	  inference(beta_eta_normalization,[],[f310])).
0.22/0.47	thf(f310,plain,(
0.22/0.47	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((member @ Y0 @ Y2 @ mactual) & (member @ Y0 @ Y1 @ mactual)) = (member @ Y0 @ (intersection @ Y1 @ Y2) @ mactual))))))) @ X1) = $true)) )),
0.22/0.47	  inference(pi_clausification,[],[f309])).
0.22/0.47	thf(f309,plain,(
0.22/0.47	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((member @ Y0 @ Y2 @ mactual) & (member @ Y0 @ Y1 @ mactual)) = (member @ Y0 @ (intersection @ Y1 @ Y2) @ mactual)))))))) = $true)),
0.22/0.47	  inference(beta_eta_normalization,[],[f198])).
0.22/0.47	thf(f198,plain,(
0.22/0.47	  ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) = (Y3 @ Y5))))))) @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y4 @ Y5) & (Y3 @ Y5))))))) @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))))),
0.22/0.47	  inference(definition_unfolding,[],[f159,f140,f164,f164,f164,f177,f156])).
0.22/0.47	thf(f156,plain,(
0.22/0.47	  (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
0.22/0.47	  inference(cnf_transformation,[],[f90])).
0.22/0.47	thf(f90,plain,(
0.22/0.47	  (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
0.22/0.47	  inference(fool_elimination,[],[f89])).
0.22/0.47	thf(f89,plain,(
0.22/0.47	  (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))))),
0.22/0.47	  inference(rectify,[],[f3])).
0.22/0.47	thf(f3,axiom,(
0.22/0.47	  (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))))),
0.22/0.47	  file('/export/starexec/sandbox2/tmp/tmp.5mmf7aMrge/Vampire---4.8_22502',mand_def)).
0.22/0.47	thf(f159,plain,(
0.22/0.47	  ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ (mand @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))) = $true)),
0.22/0.47	  inference(cnf_transformation,[],[f76])).
0.22/0.47	thf(f76,plain,(
0.22/0.47	  ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y0 @ (intersection @ Y1 @ Y2)) @ (mand @ (member @ Y0 @ Y1) @ (member @ Y0 @ Y2)))))))))) = $true)),
0.22/0.47	  inference(fool_elimination,[],[f75])).
0.22/0.47	thf(f75,plain,(
0.22/0.47	  (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mequiv @ (member @ X0 @ (intersection @ X1 @ X2)) @ (mand @ (member @ X0 @ X1) @ (member @ X0 @ X2))))))))))),
0.22/0.47	  inference(rectify,[],[f16])).
0.22/0.47	thf(f16,axiom,(
0.22/0.47	  (mlocal @ (mforall_di @ (^[X5 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (member @ X5 @ (intersection @ X1 @ X3)) @ (mand @ (member @ X5 @ X1) @ (member @ X5 @ X3))))))))))),
0.22/0.47	  file('/export/starexec/sandbox2/tmp/tmp.5mmf7aMrge/Vampire---4.8_22502',intersection_0)).
0.22/0.47	thf(f632,plain,(
0.22/0.47	  ~spl0_1 | ~spl0_6),
0.22/0.47	  inference(avatar_contradiction_clause,[],[f631])).
0.22/0.47	thf(f631,plain,(
0.22/0.47	  $false | (~spl0_1 | ~spl0_6)),
0.22/0.47	  inference(trivial_inequality_removal,[],[f630])).
0.22/0.47	thf(f630,plain,(
0.22/0.47	  ($false = $true) | (~spl0_1 | ~spl0_6)),
0.22/0.47	  inference(forward_demodulation,[],[f626,f608])).
0.22/0.47	thf(f608,plain,(
0.22/0.47	  ((member @ sK5 @ sK1 @ mactual) = $false) | ~spl0_6),
0.22/0.47	  inference(avatar_component_clause,[],[f606])).
0.22/0.47	thf(f606,plain,(
0.22/0.47	  spl0_6 <=> ((member @ sK5 @ sK1 @ mactual) = $false)),
0.22/0.47	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
0.22/0.47	thf(f626,plain,(
0.22/0.47	  ((member @ sK5 @ sK1 @ mactual) = $true) | ~spl0_1),
0.22/0.47	  inference(binary_proxy_clausification,[],[f625])).
0.22/0.47	thf(f609,plain,(
0.22/0.47	  spl0_5 | spl0_6 | ~spl0_1),
0.22/0.47	  inference(avatar_split_clause,[],[f600,f456,f606,f602])).
0.22/0.47	thf(f600,plain,(
0.22/0.47	  ($false = (member @ sK5 @ sK2 @ mactual)) | ((member @ sK5 @ sK1 @ mactual) = $false) | ~spl0_1),
0.22/0.47	  inference(binary_proxy_clausification,[],[f599])).
0.22/0.47	thf(f599,plain,(
0.22/0.47	  ($false = ((member @ sK5 @ sK1 @ mactual) & (member @ sK5 @ sK2 @ mactual))) | ~spl0_1),
0.22/0.47	  inference(not_proxy_clausification,[],[f598])).
0.22/0.47	thf(f598,plain,(
0.22/0.47	  ((~ ((member @ sK5 @ sK1 @ mactual) & (member @ sK5 @ sK2 @ mactual))) = $true) | ~spl0_1),
0.22/0.47	  inference(boolean_simplification,[],[f589])).
0.22/0.47	thf(f589,plain,(
0.22/0.47	  ((((member @ sK5 @ sK1 @ mactual) & (member @ sK5 @ sK2 @ mactual)) = $false) = $true) | ~spl0_1),
0.22/0.47	  inference(superposition,[],[f315,f584])).
0.22/0.47	thf(f584,plain,(
0.22/0.47	  ($false = (member @ sK5 @ (intersection @ sK2 @ sK1) @ mactual)) | ~spl0_1),
0.22/0.47	  inference(binary_proxy_clausification,[],[f583])).
0.22/0.47	thf(f573,plain,(
0.22/0.47	  ~spl0_2 | ~spl0_4),
0.22/0.47	  inference(avatar_contradiction_clause,[],[f572])).
0.22/0.47	thf(f572,plain,(
0.22/0.47	  $false | (~spl0_2 | ~spl0_4)),
0.22/0.47	  inference(trivial_inequality_removal,[],[f571])).
0.22/0.47	thf(f571,plain,(
0.22/0.47	  ($false = $true) | (~spl0_2 | ~spl0_4)),
0.22/0.47	  inference(forward_demodulation,[],[f540,f521])).
0.22/0.47	thf(f521,plain,(
0.22/0.47	  ($false = (member @ sK4 @ sK1 @ mactual)) | ~spl0_4),
0.22/0.47	  inference(avatar_component_clause,[],[f519])).
0.22/0.47	thf(f519,plain,(
0.22/0.47	  spl0_4 <=> ($false = (member @ sK4 @ sK1 @ mactual))),
0.22/0.47	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
0.22/0.47	thf(f540,plain,(
0.22/0.47	  ((member @ sK4 @ sK1 @ mactual) = $true) | ~spl0_2),
0.22/0.47	  inference(binary_proxy_clausification,[],[f538])).
0.22/0.47	thf(f538,plain,(
0.22/0.47	  (((member @ sK4 @ sK1 @ mactual) & (member @ sK4 @ sK2 @ mactual)) = $true) | ~spl0_2),
0.22/0.47	  inference(boolean_simplification,[],[f535])).
0.22/0.47	thf(f535,plain,(
0.22/0.47	  ((((member @ sK4 @ sK1 @ mactual) & (member @ sK4 @ sK2 @ mactual)) = $true) = $true) | ~spl0_2),
0.22/0.47	  inference(superposition,[],[f315,f501])).
0.22/0.47	thf(f501,plain,(
0.22/0.47	  ((member @ sK4 @ (intersection @ sK2 @ sK1) @ mactual) = $true) | ~spl0_2),
0.22/0.47	  inference(binary_proxy_clausification,[],[f499])).
0.22/0.47	thf(f499,plain,(
0.22/0.47	  ($false = ((member @ sK4 @ (intersection @ sK2 @ sK1) @ mactual) => (member @ sK4 @ (intersection @ sK1 @ sK2) @ mactual))) | ~spl0_2),
0.22/0.47	  inference(beta_eta_normalization,[],[f498])).
0.22/0.47	thf(f498,plain,(
0.22/0.47	  (((^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual) => (member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual))) @ sK4) = $false) | ~spl0_2),
0.22/0.47	  inference(sigma_clausification,[],[f497])).
0.22/0.47	thf(f497,plain,(
0.22/0.47	  ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual) => (member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual))))) | ~spl0_2),
0.22/0.47	  inference(not_proxy_clausification,[],[f496])).
0.22/0.47	thf(f496,plain,(
0.22/0.47	  ((~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual) => (member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual))))) = $true) | ~spl0_2),
0.22/0.47	  inference(boolean_simplification,[],[f495])).
0.22/0.47	thf(f495,plain,(
0.22/0.47	  (((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (intersection @ sK2 @ sK1) @ mactual) => (member @ Y0 @ (intersection @ sK1 @ sK2) @ mactual)))) = $false) = $true) | ~spl0_2),
0.22/0.47	  inference(superposition,[],[f299,f462])).
0.22/0.47	thf(f462,plain,(
0.22/0.47	  ($false = (subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual)) | ~spl0_2),
0.22/0.47	  inference(avatar_component_clause,[],[f460])).
0.22/0.47	thf(f460,plain,(
0.22/0.47	  spl0_2 <=> ($false = (subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual))),
0.22/0.47	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.22/0.47	thf(f545,plain,(
0.22/0.47	  ~spl0_2 | ~spl0_3),
0.22/0.47	  inference(avatar_contradiction_clause,[],[f544])).
0.22/0.47	thf(f544,plain,(
0.22/0.47	  $false | (~spl0_2 | ~spl0_3)),
0.22/0.47	  inference(trivial_inequality_removal,[],[f543])).
0.22/0.47	thf(f543,plain,(
0.22/0.47	  ($false = $true) | (~spl0_2 | ~spl0_3)),
0.22/0.47	  inference(forward_demodulation,[],[f539,f517])).
0.22/0.47	thf(f517,plain,(
0.22/0.47	  ((member @ sK4 @ sK2 @ mactual) = $false) | ~spl0_3),
0.22/0.47	  inference(avatar_component_clause,[],[f515])).
0.22/0.47	thf(f515,plain,(
0.22/0.47	  spl0_3 <=> ((member @ sK4 @ sK2 @ mactual) = $false)),
0.22/0.47	  introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
0.22/0.47	thf(f539,plain,(
0.22/0.47	  ((member @ sK4 @ sK2 @ mactual) = $true) | ~spl0_2),
0.22/0.47	  inference(binary_proxy_clausification,[],[f538])).
0.22/0.47	thf(f522,plain,(
0.22/0.47	  spl0_3 | spl0_4 | ~spl0_2),
0.22/0.47	  inference(avatar_split_clause,[],[f513,f460,f519,f515])).
0.22/0.47	thf(f513,plain,(
0.22/0.47	  ((member @ sK4 @ sK2 @ mactual) = $false) | ($false = (member @ sK4 @ sK1 @ mactual)) | ~spl0_2),
0.22/0.47	  inference(binary_proxy_clausification,[],[f512])).
0.22/0.47	thf(f512,plain,(
0.22/0.47	  (((member @ sK4 @ sK2 @ mactual) & (member @ sK4 @ sK1 @ mactual)) = $false) | ~spl0_2),
0.22/0.47	  inference(not_proxy_clausification,[],[f511])).
0.22/0.47	thf(f511,plain,(
0.22/0.47	  ((~ ((member @ sK4 @ sK2 @ mactual) & (member @ sK4 @ sK1 @ mactual))) = $true) | ~spl0_2),
0.22/0.47	  inference(boolean_simplification,[],[f502])).
0.22/0.47	thf(f502,plain,(
0.22/0.47	  ((((member @ sK4 @ sK2 @ mactual) & (member @ sK4 @ sK1 @ mactual)) = $false) = $true) | ~spl0_2),
0.22/0.47	  inference(superposition,[],[f315,f500])).
0.22/0.47	thf(f500,plain,(
0.22/0.47	  ((member @ sK4 @ (intersection @ sK1 @ sK2) @ mactual) = $false) | ~spl0_2),
0.22/0.47	  inference(binary_proxy_clausification,[],[f499])).
0.22/0.47	thf(f463,plain,(
0.22/0.47	  spl0_1 | spl0_2),
0.22/0.47	  inference(avatar_split_clause,[],[f454,f460,f456])).
0.22/0.47	thf(f454,plain,(
0.22/0.47	  ($false = (subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual)) | ($false = (subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual))),
0.22/0.47	  inference(binary_proxy_clausification,[],[f453])).
0.22/0.47	thf(f453,plain,(
0.22/0.47	  ($false = ((subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual) & (subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual)))),
0.22/0.47	  inference(not_proxy_clausification,[],[f452])).
0.22/0.47	thf(f452,plain,(
0.22/0.47	  ((~ ((subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual) & (subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual))) = $true)),
0.22/0.47	  inference(boolean_simplification,[],[f451])).
0.22/0.47	thf(f451,plain,(
0.22/0.47	  ((((subset @ (intersection @ sK2 @ sK1) @ (intersection @ sK1 @ sK2) @ mactual) & (subset @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual)) = $false) = $true)),
0.22/0.47	  inference(superposition,[],[f396,f353])).
0.22/0.47	thf(f353,plain,(
0.22/0.47	  ((equal_set @ (intersection @ sK1 @ sK2) @ (intersection @ sK2 @ sK1) @ mactual) = $false)),
0.22/0.47	  inference(beta_eta_normalization,[],[f352])).
0.22/0.47	thf(f352,plain,(
0.22/0.47	  (((^[Y0 : $i]: (equal_set @ (intersection @ sK1 @ Y0) @ (intersection @ Y0 @ sK1) @ mactual)) @ sK2) = $false)),
0.22/0.47	  inference(sigma_clausification,[],[f351])).
0.22/0.47	thf(f351,plain,(
0.22/0.47	  ($false = (!! @ $i @ (^[Y0 : $i]: (equal_set @ (intersection @ sK1 @ Y0) @ (intersection @ Y0 @ sK1) @ mactual))))),
0.22/0.47	  inference(beta_eta_normalization,[],[f350])).
0.22/0.47	thf(f350,plain,(
0.22/0.47	  ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0) @ mactual)))) @ sK1))),
0.22/0.47	  inference(sigma_clausification,[],[f349])).
0.22/0.47	thf(f349,plain,(
0.22/0.47	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0) @ mactual))))) != $true)),
0.22/0.47	  inference(beta_eta_normalization,[],[f191])).
0.22/0.47	thf(f191,plain,(
0.22/0.47	  (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0))))))) != $true)),
0.22/0.47	  inference(definition_unfolding,[],[f148,f140,f164,f164])).
0.22/0.47	thf(f148,plain,(
0.22/0.47	  ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0))))))) != $true)),
0.22/0.47	  inference(cnf_transformation,[],[f137])).
0.22/0.47	thf(f137,plain,(
0.22/0.47	  ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0))))))) != $true)),
0.22/0.47	  inference(flattening,[],[f136])).
0.22/0.47	thf(f136,plain,(
0.22/0.47	  ~((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (equal_set @ (intersection @ Y0 @ Y1) @ (intersection @ Y1 @ Y0))))))) = $true)),
0.22/0.47	  inference(fool_elimination,[],[f135])).
0.22/0.47	thf(f135,plain,(
0.22/0.47	  ~(mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (equal_set @ (intersection @ X0 @ X1) @ (intersection @ X1 @ X0)))))))),
0.22/0.47	  inference(rectify,[],[f22])).
0.22/0.47	thf(f22,negated_conjecture,(
0.22/0.47	  ~(mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (equal_set @ (intersection @ X1 @ X3) @ (intersection @ X3 @ X1)))))))),
0.22/0.47	  inference(negated_conjecture,[],[f21])).
0.22/0.47	thf(f21,conjecture,(
0.22/0.47	  (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (equal_set @ (intersection @ X1 @ X3) @ (intersection @ X3 @ X1)))))))),
0.22/0.47	  file('/export/starexec/sandbox2/tmp/tmp.5mmf7aMrge/Vampire---4.8_22502',thI06)).
0.22/0.47	thf(f396,plain,(
0.22/0.47	  ( ! [X2 : $i,X1 : $i] : (((((subset @ X2 @ X1 @ mactual) & (subset @ X1 @ X2 @ mactual)) = (equal_set @ X1 @ X2 @ mactual)) = $true)) )),
0.22/0.47	  inference(beta_eta_normalization,[],[f395])).
0.22/0.47	thf(f395,plain,(
0.22/0.47	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual)) = (equal_set @ X1 @ Y0 @ mactual))) @ X2) = $true)) )),
0.22/0.47	  inference(pi_clausification,[],[f394])).
0.22/0.47	thf(f394,plain,(
0.22/0.47	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((subset @ Y0 @ X1 @ mactual) & (subset @ X1 @ Y0 @ mactual)) = (equal_set @ X1 @ Y0 @ mactual)))) = $true)) )),
0.22/0.47	  inference(beta_eta_normalization,[],[f393])).
0.22/0.47	thf(f393,plain,(
0.22/0.47	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual)) = (equal_set @ Y0 @ Y1 @ mactual))))) @ X1) = $true)) )),
0.22/0.47	  inference(pi_clausification,[],[f392])).
0.22/0.47	thf(f392,plain,(
0.22/0.47	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((subset @ Y1 @ Y0 @ mactual) & (subset @ Y0 @ Y1 @ mactual)) = (equal_set @ Y0 @ Y1 @ mactual)))))) = $true)),
0.22/0.47	  inference(beta_eta_normalization,[],[f188])).
0.22/0.47	thf(f188,plain,(
0.22/0.47	  (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) = (Y2 @ Y4))))))) @ (equal_set @ Y0 @ Y1) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y3 @ Y4) & (Y2 @ Y4))))))) @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))) = $true)),
0.22/0.47	  inference(definition_unfolding,[],[f145,f140,f164,f164,f177,f156])).
0.22/0.47	thf(f145,plain,(
0.22/0.47	  ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))) = $true)),
0.22/0.47	  inference(cnf_transformation,[],[f49])).
0.22/0.47	thf(f49,plain,(
0.22/0.47	  ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (equal_set @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))) = $true)),
0.22/0.47	  inference(fool_elimination,[],[f48])).
0.22/0.47	thf(f48,plain,(
0.22/0.47	  (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (equal_set @ X0 @ X1) @ (mand @ (subset @ X0 @ X1) @ (subset @ X1 @ X0))))))))),
0.22/0.47	  inference(rectify,[],[f32])).
0.22/0.47	thf(f32,axiom,(
0.22/0.47	  (mlocal @ (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X3 : $i] : (mequiv @ (equal_set @ X1 @ X3) @ (mand @ (subset @ X1 @ X3) @ (subset @ X3 @ X1))))))))),
0.22/0.47	  file('/export/starexec/sandbox2/tmp/tmp.5mmf7aMrge/Vampire---4.8_22502',equal_set_0)).
0.22/0.47	% SZS output end Proof for Vampire---4
0.22/0.47	% (22625)------------------------------
0.22/0.47	% (22625)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.22/0.47	% (22625)Termination reason: Refutation
0.22/0.47	
0.22/0.47	% (22625)Memory used [KB]: 6396
0.22/0.47	% (22625)Time elapsed: 0.051 s
0.22/0.47	% (22625)Instructions burned: 82 (million)
0.22/0.47	% (22625)------------------------------
0.22/0.47	% (22625)------------------------------
0.22/0.47	% (22610)Success in time 0.098 s
0.22/0.47	% Vampire---4.8 exiting
0.22/0.47	EOF