0.00/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.09	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.09/0.29	% Computer : n014.cluster.edu
0.09/0.29	% Model    : x86_64 x86_64
0.09/0.29	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.29	% Memory   : 8042.1875MB
0.09/0.29	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.29	% CPULimit   : 300
0.09/0.29	% WCLimit    : 300
0.09/0.29	% DateTime   : Fri Jul  5 04:24:39 EDT 2024
0.09/0.29	% CPUTime    : 
0.09/0.31	This is a THF_ problem
0.09/0.31	Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000  -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.16/0.32	% (19728)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (3000ds/96Mi)
0.16/0.32	% (19729)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
0.16/0.32	% (19730)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
0.16/0.32	% (19731)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (3000ds/385Mi)
0.16/0.32	% (19732)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (3000ds/17Mi)
0.16/0.32	% (19733)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 theBenchmark for (3000ds/74Mi)
0.16/0.33	% (19734)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
0.16/0.33	% (19735)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (3000ds/915Mi)
0.16/0.33	% (19734)Instruction limit reached!
0.16/0.33	% (19734)------------------------------
0.16/0.33	% (19734)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.33	% (19734)Termination reason: Unknown
0.16/0.33	% (19734)Termination phase: Saturation
0.16/0.33	
0.16/0.33	% (19734)Memory used [KB]: 5500
0.16/0.33	% (19734)Time elapsed: 0.004 s
0.16/0.33	% (19734)Instructions burned: 5 (million)
0.16/0.33	% (19734)------------------------------
0.16/0.33	% (19734)------------------------------
0.16/0.33	% (19729)Refutation not found, incomplete strategy
0.16/0.33	% (19729)------------------------------
0.16/0.33	% (19729)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.33	% (19729)Termination reason: Refutation not found, incomplete strategy
0.16/0.33	
0.16/0.33	
0.16/0.33	% (19729)Memory used [KB]: 5500
0.16/0.33	% (19729)Time elapsed: 0.005 s
0.16/0.33	% (19729)Instructions burned: 6 (million)
0.16/0.33	% (19729)------------------------------
0.16/0.33	% (19729)------------------------------
0.16/0.33	% (19735)Refutation not found, incomplete strategy
0.16/0.33	% (19735)------------------------------
0.16/0.33	% (19735)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.33	% (19735)Termination reason: Refutation not found, incomplete strategy
0.16/0.33	
0.16/0.33	
0.16/0.33	% (19735)Memory used [KB]: 5500
0.16/0.33	% (19735)Time elapsed: 0.005 s
0.16/0.33	% (19735)Instructions burned: 5 (million)
0.16/0.33	% (19735)------------------------------
0.16/0.33	% (19735)------------------------------
0.16/0.33	% (19732)Instruction limit reached!
0.16/0.33	% (19732)------------------------------
0.16/0.33	% (19732)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.33	% (19732)Termination reason: Unknown
0.16/0.33	% (19732)Termination phase: Saturation
0.16/0.33	
0.16/0.33	% (19732)Memory used [KB]: 5628
0.16/0.33	% (19732)Time elapsed: 0.011 s
0.16/0.33	% (19732)Instructions burned: 17 (million)
0.16/0.33	% (19732)------------------------------
0.16/0.33	% (19732)------------------------------
0.16/0.34	% (19737)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
0.16/0.34	% (19738)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 theBenchmark for (2999ds/1021Mi)
0.16/0.34	% (19730)Instruction limit reached!
0.16/0.34	% (19730)------------------------------
0.16/0.34	% (19730)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.34	% (19730)Termination reason: Unknown
0.16/0.34	% (19730)Termination phase: Saturation
0.16/0.34	
0.16/0.34	% (19730)Memory used [KB]: 5756
0.16/0.34	% (19730)Time elapsed: 0.020 s
0.16/0.34	% (19730)Instructions burned: 34 (million)
0.16/0.34	% (19730)------------------------------
0.16/0.34	% (19730)------------------------------
0.16/0.35	% (19736)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
0.16/0.35	% (19737)Instruction limit reached!
0.16/0.35	% (19737)------------------------------
0.16/0.35	% (19737)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.35	% (19737)Termination reason: Unknown
0.16/0.35	% (19737)Termination phase: Saturation
0.16/0.35	
0.16/0.35	% (19737)Memory used [KB]: 5500
0.16/0.35	% (19737)Time elapsed: 0.005 s
0.16/0.35	% (19737)Instructions burned: 7 (million)
0.16/0.35	% (19737)------------------------------
0.16/0.35	% (19737)------------------------------
0.16/0.35	% (19739)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
0.16/0.36	% (19736)Instruction limit reached!
0.16/0.36	% (19736)------------------------------
0.16/0.36	% (19736)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.36	% (19736)Termination reason: Unknown
0.16/0.36	% (19736)Termination phase: Saturation
0.16/0.36	
0.16/0.36	% (19736)Memory used [KB]: 5628
0.16/0.36	% (19736)Time elapsed: 0.013 s
0.16/0.36	% (19736)Instructions burned: 21 (million)
0.16/0.36	% (19736)------------------------------
0.16/0.36	% (19736)------------------------------
0.16/0.36	% (19740)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 theBenchmark for (2999ds/9Mi)
0.16/0.36	% (19741)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on theBenchmark for (2999ds/1044Mi)
0.16/0.36	% (19740)Instruction limit reached!
0.16/0.36	% (19740)------------------------------
0.16/0.36	% (19740)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.36	% (19740)Termination reason: Unknown
0.16/0.36	% (19740)Termination phase: Saturation
0.16/0.36	
0.16/0.36	% (19740)Memory used [KB]: 5500
0.16/0.36	% (19740)Time elapsed: 0.006 s
0.16/0.36	% (19740)Instructions burned: 9 (million)
0.16/0.36	% (19740)------------------------------
0.16/0.36	% (19740)------------------------------
0.16/0.36	% (19733)Instruction limit reached!
0.16/0.36	% (19733)------------------------------
0.16/0.36	% (19733)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.36	% (19733)Termination reason: Unknown
0.16/0.36	% (19733)Termination phase: Saturation
0.16/0.36	
0.16/0.36	% (19733)Memory used [KB]: 5756
0.16/0.36	% (19733)Time elapsed: 0.038 s
0.16/0.36	% (19733)Instructions burned: 74 (million)
0.16/0.36	% (19733)------------------------------
0.16/0.36	% (19733)------------------------------
0.16/0.37	% (19742)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on theBenchmark for (2999ds/128Mi)
0.16/0.37	% (19743)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi)
0.16/0.37	% (19728)Instruction limit reached!
0.16/0.37	% (19728)------------------------------
0.16/0.37	% (19728)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.37	% (19728)Termination reason: Unknown
0.16/0.37	% (19728)Termination phase: Saturation
0.16/0.37	
0.16/0.37	% (19728)Memory used [KB]: 5884
0.16/0.37	% (19728)Time elapsed: 0.051 s
0.16/0.37	% (19728)Instructions burned: 96 (million)
0.16/0.37	% (19728)------------------------------
0.16/0.37	% (19728)------------------------------
0.16/0.37	% (19744)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi)
0.16/0.38	% (19731)First to succeed.
0.16/0.38	% (19744)Also succeeded, but the first one will report.
0.16/0.38	% (19731)Refutation found. Thanks to Tanya!
0.16/0.38	% SZS status Theorem for theBenchmark
0.16/0.38	% SZS output start Proof for theBenchmark
0.16/0.38	thf(func_def_0, type, in: $i > $i > $o).
0.16/0.38	thf(func_def_2, type, setadjoin: $i > $i > $i).
0.16/0.38	thf(func_def_3, type, setunion: $i > $i).
0.16/0.38	thf(func_def_8, type, binunion: $i > $i > $i).
0.16/0.38	thf(func_def_24, type, sK5: $o > $i > $i > $i).
0.16/0.38	thf(f568,plain,(
0.16/0.38	  $false),
0.16/0.38	  inference(avatar_sat_refutation,[],[f86,f108,f109,f113,f118,f121,f125,f514,f567])).
0.16/0.38	thf(f567,plain,(
0.16/0.38	  spl4_1 | ~spl4_3 | spl4_10 | ~spl4_31),
0.16/0.38	  inference(avatar_contradiction_clause,[],[f566])).
0.16/0.38	thf(f566,plain,(
0.16/0.38	  $false | (spl4_1 | ~spl4_3 | spl4_10 | ~spl4_31)),
0.16/0.38	  inference(trivial_inequality_removal,[],[f565])).
0.16/0.38	thf(f565,plain,(
0.16/0.38	  ($false = $true) | (spl4_1 | ~spl4_3 | spl4_10 | ~spl4_31)),
0.16/0.38	  inference(forward_demodulation,[],[f564,f132])).
0.16/0.38	thf(f132,plain,(
0.16/0.38	  ($false = (in @ sK2 @ sK1)) | (~spl4_3 | spl4_10)),
0.16/0.38	  inference(trivial_inequality_removal,[],[f129])).
0.16/0.38	thf(f129,plain,(
0.16/0.38	  ($false = (in @ sK2 @ sK1)) | ($true != $true) | (~spl4_3 | spl4_10)),
0.16/0.38	  inference(superposition,[],[f117,f89])).
0.16/0.38	thf(f89,plain,(
0.16/0.38	  ( ! [X4 : $o] : (($true = X4) | ($false = X4)) ) | ~spl4_3),
0.16/0.38	  inference(avatar_component_clause,[],[f88])).
0.16/0.38	thf(f88,plain,(
0.16/0.38	  spl4_3 <=> ! [X4 : $o] : (($false = X4) | ($true = X4))),
0.16/0.38	  introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
0.16/0.38	thf(f117,plain,(
0.16/0.38	  ($true != (in @ sK2 @ sK1)) | spl4_10),
0.16/0.38	  inference(avatar_component_clause,[],[f115])).
0.16/0.38	thf(f115,plain,(
0.16/0.38	  spl4_10 <=> ($true = (in @ sK2 @ sK1))),
0.16/0.38	  introduced(avatar_definition,[new_symbols(naming,[spl4_10])])).
0.16/0.38	thf(f564,plain,(
0.16/0.38	  ($true = (in @ sK2 @ sK1)) | (spl4_1 | ~spl4_3 | ~spl4_31)),
0.16/0.38	  inference(trivial_inequality_removal,[],[f563])).
0.16/0.38	thf(f563,plain,(
0.16/0.38	  ($true = (in @ sK2 @ sK1)) | ($false = $true) | (spl4_1 | ~spl4_3 | ~spl4_31)),
0.16/0.38	  inference(forward_demodulation,[],[f553,f138])).
0.16/0.38	thf(f138,plain,(
0.16/0.38	  ($false = (in @ sK2 @ sK0)) | (spl4_1 | ~spl4_3)),
0.16/0.38	  inference(trivial_inequality_removal,[],[f128])).
0.16/0.38	thf(f128,plain,(
0.16/0.38	  ($true != $true) | ($false = (in @ sK2 @ sK0)) | (spl4_1 | ~spl4_3)),
0.16/0.38	  inference(superposition,[],[f81,f89])).
0.16/0.38	thf(f81,plain,(
0.16/0.38	  ((in @ sK2 @ sK0) != $true) | spl4_1),
0.16/0.38	  inference(avatar_component_clause,[],[f79])).
0.16/0.38	thf(f79,plain,(
0.16/0.38	  spl4_1 <=> ((in @ sK2 @ sK0) = $true)),
0.16/0.38	  introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
0.16/0.38	thf(f553,plain,(
0.16/0.38	  ((in @ sK2 @ sK0) = $true) | ($true = (in @ sK2 @ sK1)) | ~spl4_31),
0.16/0.38	  inference(trivial_inequality_removal,[],[f536])).
0.16/0.38	thf(f536,plain,(
0.16/0.38	  ($false = $true) | ($true = (in @ sK2 @ sK1)) | ((in @ sK2 @ sK0) = $true) | ~spl4_31),
0.16/0.38	  inference(superposition,[],[f513,f77])).
0.16/0.38	thf(f77,plain,(
0.16/0.38	  ((in @ sK2 @ (setunion @ (setadjoin @ sK1 @ (setadjoin @ sK0 @ emptyset)))) = $true)),
0.16/0.38	  inference(beta_eta_normalization,[],[f33])).
0.16/0.38	thf(f33,plain,(
0.16/0.38	  ($true = (in @ sK2 @ ((^[Y0 : $i]: ((^[Y1 : $i]: (setunion @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)))))) @ sK1 @ sK0)))),
0.16/0.38	  inference(definition_unfolding,[],[f29,f22])).
0.16/0.38	thf(f22,plain,(
0.16/0.38	  (binunion = (^[Y0 : $i]: ((^[Y1 : $i]: (setunion @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)))))))),
0.16/0.38	  inference(cnf_transformation,[],[f13])).
0.16/0.38	thf(f13,plain,(
0.16/0.38	  (binunion = (^[Y0 : $i]: ((^[Y1 : $i]: (setunion @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)))))))),
0.16/0.38	  inference(fool_elimination,[],[f12])).
0.16/0.38	thf(f12,plain,(
0.16/0.38	  (binunion = (^[X0 : $i, X1 : $i] : (setunion @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))))),
0.16/0.38	  inference(rectify,[],[f4])).
0.16/0.38	thf(f4,axiom,(
0.16/0.38	  (binunion = (^[X0 : $i, X2 : $i] : (setunion @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset)))))),
0.16/0.38	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunion)).
0.16/0.38	thf(f29,plain,(
0.16/0.38	  ((in @ sK2 @ (binunion @ sK1 @ sK0)) = $true)),
0.16/0.38	  inference(cnf_transformation,[],[f21])).
0.16/0.38	thf(f21,plain,(
0.16/0.38	  (uniqinunit = $true) & (((in @ sK2 @ (binunion @ sK1 @ sK0)) = $true) & (((in @ sK2 @ sK0) != $true) | (sK3 = $true)) & (sK3 != $true) & ((sK3 = $true) | ($true != (in @ sK2 @ sK1)))) & (setunionE = $true) & (setadjoinE = $true)),
0.16/0.38	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f19,f20])).
0.16/0.38	thf(f20,plain,(
0.16/0.38	  ? [X0,X1,X2,X3 : $o] : (((in @ X2 @ (binunion @ X1 @ X0)) = $true) & (((in @ X2 @ X0) != $true) | ($true = X3)) & ($true != X3) & (($true = X3) | ((in @ X2 @ X1) != $true))) => (((in @ sK2 @ (binunion @ sK1 @ sK0)) = $true) & (((in @ sK2 @ sK0) != $true) | (sK3 = $true)) & (sK3 != $true) & ((sK3 = $true) | ($true != (in @ sK2 @ sK1))))),
0.16/0.38	  introduced(choice_axiom,[])).
0.16/0.38	thf(f19,plain,(
0.16/0.38	  (uniqinunit = $true) & ? [X0,X1,X2,X3 : $o] : (((in @ X2 @ (binunion @ X1 @ X0)) = $true) & (((in @ X2 @ X0) != $true) | ($true = X3)) & ($true != X3) & (($true = X3) | ((in @ X2 @ X1) != $true))) & (setunionE = $true) & (setadjoinE = $true)),
0.16/0.38	  inference(flattening,[],[f18])).
0.16/0.38	thf(f18,plain,(
0.16/0.38	  ((? [X0,X1,X2,X3 : $o] : (((($true != X3) & (((in @ X2 @ X0) != $true) | ($true = X3))) & (($true = X3) | ((in @ X2 @ X1) != $true))) & ((in @ X2 @ (binunion @ X1 @ X0)) = $true)) & (uniqinunit = $true)) & (setunionE = $true)) & (setadjoinE = $true)),
0.16/0.38	  inference(ennf_transformation,[],[f17])).
0.16/0.38	thf(f17,plain,(
0.16/0.38	  ~((setadjoinE = $true) => ((setunionE = $true) => ((uniqinunit = $true) => ! [X0,X1,X2,X3 : $o] : (((in @ X2 @ (binunion @ X1 @ X0)) = $true) => ((((in @ X2 @ X1) = $true) => ($true = X3)) => ((((in @ X2 @ X0) = $true) => ($true = X3)) => ($true = X3)))))))),
0.16/0.38	  inference(fool_elimination,[],[f16])).
0.16/0.38	thf(f16,plain,(
0.16/0.38	  ~(setadjoinE => (setunionE => (uniqinunit => ! [X0,X1,X2,X3 : $o] : ((in @ X2 @ (binunion @ X1 @ X0)) => (((in @ X2 @ X1) => X3) => (((in @ X2 @ X0) => X3) => X3))))))),
0.16/0.38	  inference(rectify,[],[f6])).
0.16/0.38	thf(f6,negated_conjecture,(
0.16/0.38	  ~(setadjoinE => (setunionE => (uniqinunit => ! [X4,X1,X0,X3 : $o] : ((in @ X0 @ (binunion @ X1 @ X4)) => (((in @ X0 @ X1) => X3) => (((in @ X0 @ X4) => X3) => X3))))))),
0.16/0.38	  inference(negated_conjecture,[],[f5])).
0.16/0.38	thf(f5,conjecture,(
0.16/0.38	  setadjoinE => (setunionE => (uniqinunit => ! [X4,X1,X0,X3 : $o] : ((in @ X0 @ (binunion @ X1 @ X4)) => (((in @ X0 @ X1) => X3) => (((in @ X0 @ X4) => X3) => X3)))))),
0.16/0.38	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionEcases)).
0.16/0.38	thf(f513,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ (setunion @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = $false) | ((in @ X3 @ X2) = $true) | ((in @ X3 @ X1) = $true)) ) | ~spl4_31),
0.16/0.38	  inference(avatar_component_clause,[],[f512])).
0.16/0.38	thf(f512,plain,(
0.16/0.38	  spl4_31 <=> ! [X2,X1,X3] : (((in @ X3 @ X2) = $true) | ((in @ X3 @ (setunion @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = $false) | ((in @ X3 @ X1) = $true))),
0.16/0.38	  introduced(avatar_definition,[new_symbols(naming,[spl4_31])])).
0.16/0.38	thf(f514,plain,(
0.16/0.38	  spl4_31 | spl4_7 | ~spl4_8),
0.16/0.38	  inference(avatar_split_clause,[],[f510,f106,f103,f512])).
0.16/0.38	thf(f103,plain,(
0.16/0.38	  spl4_7 <=> ! [X4 : $o] : ($true = X4)),
0.16/0.38	  introduced(avatar_definition,[new_symbols(naming,[spl4_7])])).
0.16/0.38	thf(f106,plain,(
0.16/0.38	  spl4_8 <=> ! [X2,X1,X3] : (($false = (in @ X1 @ (setadjoin @ X3 @ X2))) | ((in @ X1 @ X2) = $true) | (X1 = X3))),
0.16/0.38	  introduced(avatar_definition,[new_symbols(naming,[spl4_8])])).
0.16/0.38	thf(f510,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (($true = X0) | ((in @ X3 @ X2) = $true) | ((in @ X3 @ X1) = $true) | ((in @ X3 @ (setunion @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = $false)) ) | ~spl4_8),
0.16/0.38	  inference(duplicate_literal_removal,[],[f507])).
0.16/0.38	thf(f507,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (($true = X0) | ((in @ X3 @ X2) = $true) | ((in @ X3 @ (setunion @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = $false) | ((in @ X3 @ (setunion @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = $false) | ((in @ X3 @ X1) = $true) | ($true = X0)) ) | ~spl4_8),
0.16/0.38	  inference(superposition,[],[f48,f303])).
0.16/0.38	thf(f303,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (((sK5 @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ X3) = X1) | ((in @ X3 @ (setunion @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = $false) | ((in @ X3 @ X2) = $true) | ($true = X0)) ) | ~spl4_8),
0.16/0.38	  inference(duplicate_literal_removal,[],[f299])).
0.16/0.38	thf(f299,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (($true = X0) | ((in @ X3 @ (setunion @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = $false) | ($true = X0) | ((in @ X3 @ X2) = $true) | ((sK5 @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ X3) = X1) | ((in @ X3 @ (setunion @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = $false)) ) | ~spl4_8),
0.16/0.38	  inference(superposition,[],[f48,f294])).
0.16/0.38	thf(f294,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (((sK5 @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ X3) = X2) | ($true = X0) | ((in @ X3 @ (setunion @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = $false) | ((sK5 @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ X3) = X1)) ) | ~spl4_8),
0.16/0.38	  inference(trivial_inequality_removal,[],[f279])).
0.16/0.38	thf(f279,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (($true = X0) | ($false = $true) | ((in @ X3 @ (setunion @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = $false) | ((sK5 @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ X3) = X1) | ((sK5 @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ X3) = X2)) ) | ~spl4_8),
0.16/0.38	  inference(superposition,[],[f262,f56])).
0.16/0.38	thf(f56,plain,(
0.16/0.38	  ( ! [X2 : $i,X1 : $i] : (($false = (in @ X1 @ (setadjoin @ X2 @ emptyset))) | (X1 = X2)) )),
0.16/0.38	  inference(equality_proxy_clausification,[],[f55])).
0.16/0.38	thf(f55,plain,(
0.16/0.38	  ( ! [X2 : $i,X1 : $i] : (($false = (in @ X1 @ (setadjoin @ X2 @ emptyset))) | ((X2 = X1) = $true)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f54])).
0.16/0.38	thf(f54,plain,(
0.16/0.38	  ( ! [X2 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X2 @ emptyset)) => (X2 = X1)) = $true)) )),
0.16/0.38	  inference(beta_eta_normalization,[],[f53])).
0.16/0.38	thf(f53,plain,(
0.16/0.38	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ X1 @ (setadjoin @ Y0 @ emptyset)) => (Y0 = X1))) @ X2) = $true)) )),
0.16/0.38	  inference(pi_clausification,[],[f52])).
0.16/0.38	thf(f52,plain,(
0.16/0.38	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (setadjoin @ Y0 @ emptyset)) => (Y0 = X1)))))) )),
0.16/0.38	  inference(beta_eta_normalization,[],[f51])).
0.16/0.38	thf(f51,plain,(
0.16/0.38	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (setadjoin @ Y1 @ emptyset)) => (Y1 = Y0))))) @ X1) = $true)) )),
0.16/0.38	  inference(pi_clausification,[],[f36])).
0.16/0.38	thf(f36,plain,(
0.16/0.38	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (setadjoin @ Y1 @ emptyset)) => (Y1 = Y0)))))) = $true)),
0.16/0.38	  inference(definition_unfolding,[],[f32,f30])).
0.16/0.38	thf(f30,plain,(
0.16/0.38	  (uniqinunit = $true)),
0.16/0.38	  inference(cnf_transformation,[],[f21])).
0.16/0.38	thf(f32,plain,(
0.16/0.38	  (uniqinunit = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (setadjoin @ Y1 @ emptyset)) => (Y1 = Y0)))))))),
0.16/0.38	  inference(cnf_transformation,[],[f11])).
0.16/0.38	thf(f11,plain,(
0.16/0.38	  (uniqinunit = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (setadjoin @ Y1 @ emptyset)) => (Y1 = Y0)))))))),
0.16/0.38	  inference(fool_elimination,[],[f10])).
0.16/0.38	thf(f10,plain,(
0.16/0.38	  (! [X0,X1] : ((in @ X1 @ (setadjoin @ X0 @ emptyset)) => (X0 = X1)) = uniqinunit)),
0.16/0.38	  inference(rectify,[],[f3])).
0.16/0.38	thf(f3,axiom,(
0.16/0.38	  (! [X2,X0] : ((in @ X0 @ (setadjoin @ X2 @ emptyset)) => (X0 = X2)) = uniqinunit)),
0.16/0.38	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniqinunit)).
0.16/0.38	thf(f262,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (((in @ (sK5 @ X0 @ (setadjoin @ X1 @ X2) @ X3) @ X2) = $true) | ($false = (in @ X3 @ (setunion @ (setadjoin @ X1 @ X2)))) | ((sK5 @ X0 @ (setadjoin @ X1 @ X2) @ X3) = X1) | ($true = X0)) ) | ~spl4_8),
0.16/0.38	  inference(trivial_inequality_removal,[],[f259])).
0.16/0.38	thf(f259,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X0 : $o,X1 : $i] : (($true = X0) | ($false = $true) | ($false = (in @ X3 @ (setunion @ (setadjoin @ X1 @ X2)))) | ((sK5 @ X0 @ (setadjoin @ X1 @ X2) @ X3) = X1) | ((in @ (sK5 @ X0 @ (setadjoin @ X1 @ X2) @ X3) @ X2) = $true)) ) | ~spl4_8),
0.16/0.38	  inference(superposition,[],[f50,f107])).
0.16/0.38	thf(f107,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (in @ X1 @ (setadjoin @ X3 @ X2))) | (X1 = X3) | ((in @ X1 @ X2) = $true)) ) | ~spl4_8),
0.16/0.38	  inference(avatar_component_clause,[],[f106])).
0.16/0.38	thf(f50,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $o,X1 : $i] : (((in @ (sK5 @ X3 @ X1 @ X2) @ X1) = $true) | ($true = X3) | ((in @ X2 @ (setunion @ X1)) = $false)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f47])).
0.16/0.38	thf(f47,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $o,X1 : $i] : (((in @ X2 @ (setunion @ X1)) = $false) | ($true = X3) | (((in @ (sK5 @ X3 @ X1 @ X2) @ X1) => X3) = $false)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f46])).
0.16/0.38	thf(f46,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $o,X1 : $i] : (($true = X3) | ((in @ X2 @ (setunion @ X1)) = $false) | (((in @ X2 @ (sK5 @ X3 @ X1 @ X2)) => ((in @ (sK5 @ X3 @ X1 @ X2) @ X1) => X3)) = $false)) )),
0.16/0.38	  inference(beta_eta_normalization,[],[f45])).
0.16/0.38	thf(f45,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $o,X1 : $i] : (((in @ X2 @ (setunion @ X1)) = $false) | ($false = ((^[Y0 : $i]: ((in @ X2 @ Y0) => ((in @ Y0 @ X1) => X3))) @ (sK5 @ X3 @ X1 @ X2))) | ($true = X3)) )),
0.16/0.38	  inference(sigma_clausification,[],[f44])).
0.16/0.38	thf(f44,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((in @ X2 @ Y0) => ((in @ Y0 @ X1) => X3))))) | ((in @ X2 @ (setunion @ X1)) = $false) | ($true = X3)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f43])).
0.16/0.38	thf(f43,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $o,X1 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((in @ X2 @ Y0) => ((in @ Y0 @ X1) => X3)))) => X3) = $true) | ((in @ X2 @ (setunion @ X1)) = $false)) )),
0.16/0.38	  inference(beta_eta_normalization,[],[f42])).
0.16/0.38	thf(f42,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $o,X1 : $i] : ((((^[Y0 : $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ X2 @ Y1) => ((in @ Y1 @ X1) => Y0)))) => Y0)) @ X3) = $true) | ((in @ X2 @ (setunion @ X1)) = $false)) )),
0.16/0.38	  inference(pi_clausification,[],[f41])).
0.16/0.38	thf(f41,plain,(
0.16/0.38	  ( ! [X2 : $i,X1 : $i] : (((!! @ $o @ (^[Y0 : $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ X2 @ Y1) => ((in @ Y1 @ X1) => Y0)))) => Y0))) = $true) | ((in @ X2 @ (setunion @ X1)) = $false)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f40])).
0.16/0.38	thf(f40,plain,(
0.16/0.38	  ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ (setunion @ X1)) => (!! @ $o @ (^[Y0 : $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ X2 @ Y1) => ((in @ Y1 @ X1) => Y0)))) => Y0)))) = $true)) )),
0.16/0.38	  inference(beta_eta_normalization,[],[f39])).
0.16/0.38	thf(f39,plain,(
0.16/0.38	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ (setunion @ X1)) => (!! @ $o @ (^[Y1 : $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y2) => ((in @ Y2 @ X1) => Y1)))) => Y1))))) @ X2) = $true)) )),
0.16/0.38	  inference(pi_clausification,[],[f38])).
0.16/0.38	thf(f38,plain,(
0.16/0.38	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setunion @ X1)) => (!! @ $o @ (^[Y1 : $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ Y2) => ((in @ Y2 @ X1) => Y1)))) => Y1)))))) = $true)) )),
0.16/0.38	  inference(beta_eta_normalization,[],[f37])).
0.16/0.38	thf(f37,plain,(
0.16/0.38	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setunion @ Y0)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y3) => ((in @ Y3 @ Y0) => Y2)))) => Y2))))))) @ X1) = $true)) )),
0.16/0.38	  inference(pi_clausification,[],[f35])).
0.16/0.38	thf(f35,plain,(
0.16/0.38	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setunion @ Y0)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y3) => ((in @ Y3 @ Y0) => Y2)))) => Y2)))))))) = $true)),
0.16/0.38	  inference(definition_unfolding,[],[f31,f25])).
0.16/0.38	thf(f25,plain,(
0.16/0.38	  (setunionE = $true)),
0.16/0.38	  inference(cnf_transformation,[],[f21])).
0.16/0.38	thf(f31,plain,(
0.16/0.38	  (setunionE = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setunion @ Y0)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y3) => ((in @ Y3 @ Y0) => Y2)))) => Y2)))))))))),
0.16/0.38	  inference(cnf_transformation,[],[f15])).
0.16/0.38	thf(f15,plain,(
0.16/0.38	  (setunionE = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setunion @ Y0)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y1 @ Y3) => ((in @ Y3 @ Y0) => Y2)))) => Y2)))))))))),
0.16/0.38	  inference(fool_elimination,[],[f14])).
0.16/0.38	thf(f14,plain,(
0.16/0.38	  (setunionE = ! [X0,X1] : ((in @ X0 @ (setunion @ X1)) => ! [X2 : $o] : (! [X3] : ((in @ X0 @ X3) => ((in @ X3 @ X1) => X2)) => X2)))),
0.16/0.38	  inference(rectify,[],[f2])).
0.16/0.38	thf(f2,axiom,(
0.16/0.38	  (setunionE = ! [X0,X1] : ((in @ X0 @ (setunion @ X1)) => ! [X3 : $o] : (! [X4] : ((in @ X0 @ X4) => ((in @ X4 @ X1) => X3)) => X3)))),
0.16/0.38	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE)).
0.16/0.38	thf(f48,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $o,X1 : $i] : (((in @ X2 @ (sK5 @ X3 @ X1 @ X2)) = $true) | ($true = X3) | ((in @ X2 @ (setunion @ X1)) = $false)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f46])).
0.16/0.38	thf(f125,plain,(
0.16/0.38	  spl4_2 | ~spl4_7),
0.16/0.38	  inference(avatar_contradiction_clause,[],[f124])).
0.16/0.38	thf(f124,plain,(
0.16/0.38	  $false | (spl4_2 | ~spl4_7)),
0.16/0.38	  inference(subsumption_resolution,[],[f84,f104])).
0.16/0.38	thf(f104,plain,(
0.16/0.38	  ( ! [X4 : $o] : (($true = X4)) ) | ~spl4_7),
0.16/0.38	  inference(avatar_component_clause,[],[f103])).
0.16/0.38	thf(f84,plain,(
0.16/0.38	  (sK3 != $true) | spl4_2),
0.16/0.38	  inference(avatar_component_clause,[],[f83])).
0.16/0.38	thf(f83,plain,(
0.16/0.38	  spl4_2 <=> (sK3 = $true)),
0.16/0.38	  introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
0.16/0.38	thf(f121,plain,(
0.16/0.38	  ~spl4_9),
0.16/0.38	  inference(avatar_contradiction_clause,[],[f120])).
0.16/0.38	thf(f120,plain,(
0.16/0.38	  $false | ~spl4_9),
0.16/0.38	  inference(trivial_inequality_removal,[],[f119])).
0.16/0.38	thf(f119,plain,(
0.16/0.38	  ($false = $true) | ~spl4_9),
0.16/0.38	  inference(backward_demodulation,[],[f77,f112])).
0.16/0.38	thf(f112,plain,(
0.16/0.38	  ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ (setunion @ X1)) = $false)) ) | ~spl4_9),
0.16/0.38	  inference(avatar_component_clause,[],[f111])).
0.16/0.38	thf(f111,plain,(
0.16/0.38	  spl4_9 <=> ! [X2,X1] : ((in @ X2 @ (setunion @ X1)) = $false)),
0.16/0.38	  introduced(avatar_definition,[new_symbols(naming,[spl4_9])])).
0.16/0.38	thf(f118,plain,(
0.16/0.38	  spl4_2 | ~spl4_10),
0.16/0.38	  inference(avatar_split_clause,[],[f26,f115,f83])).
0.16/0.38	thf(f26,plain,(
0.16/0.38	  (sK3 = $true) | ($true != (in @ sK2 @ sK1))),
0.16/0.38	  inference(cnf_transformation,[],[f21])).
0.16/0.38	thf(f113,plain,(
0.16/0.38	  spl4_3 | spl4_9),
0.16/0.38	  inference(avatar_split_clause,[],[f49,f111,f88])).
0.16/0.38	thf(f49,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $o,X1 : $i] : (($true = X3) | ($false = X3) | ((in @ X2 @ (setunion @ X1)) = $false)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f47])).
0.16/0.38	thf(f109,plain,(
0.16/0.38	  ~spl4_2),
0.16/0.38	  inference(avatar_split_clause,[],[f27,f83])).
0.16/0.38	thf(f27,plain,(
0.16/0.38	  (sK3 != $true)),
0.16/0.38	  inference(cnf_transformation,[],[f21])).
0.16/0.38	thf(f108,plain,(
0.16/0.38	  spl4_7 | spl4_8),
0.16/0.38	  inference(avatar_split_clause,[],[f72,f106,f103])).
0.16/0.38	thf(f72,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = (in @ X1 @ (setadjoin @ X3 @ X2))) | (X1 = X3) | ($true = X4) | ((in @ X1 @ X2) = $true)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f70])).
0.16/0.38	thf(f70,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = (in @ X1 @ (setadjoin @ X3 @ X2))) | ($false = ((in @ X1 @ X2) => X4)) | ($true = X4) | (X1 = X3)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f69])).
0.16/0.38	thf(f69,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = (in @ X1 @ (setadjoin @ X3 @ X2))) | (X1 = X3) | ((((in @ X1 @ X2) => X4) => X4) = $true)) )),
0.16/0.38	  inference(equality_proxy_clausification,[],[f68])).
0.16/0.38	thf(f68,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = (in @ X1 @ (setadjoin @ X3 @ X2))) | ((X3 = X1) = $true) | ((((in @ X1 @ X2) => X4) => X4) = $true)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f66])).
0.16/0.38	thf(f66,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (($false = (in @ X1 @ (setadjoin @ X3 @ X2))) | (((X3 = X1) => X4) = $false) | ((((in @ X1 @ X2) => X4) => X4) = $true)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f65])).
0.16/0.38	thf(f65,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : (((((X3 = X1) => X4) => (((in @ X1 @ X2) => X4) => X4)) = $true) | ($false = (in @ X1 @ (setadjoin @ X3 @ X2)))) )),
0.16/0.38	  inference(beta_eta_normalization,[],[f64])).
0.16/0.38	thf(f64,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $o] : ((((^[Y0 : $o]: (((X3 = X1) => Y0) => (((in @ X1 @ X2) => Y0) => Y0))) @ X4) = $true) | ($false = (in @ X1 @ (setadjoin @ X3 @ X2)))) )),
0.16/0.38	  inference(pi_clausification,[],[f63])).
0.16/0.38	thf(f63,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (in @ X1 @ (setadjoin @ X3 @ X2))) | ((!! @ $o @ (^[Y0 : $o]: (((X3 = X1) => Y0) => (((in @ X1 @ X2) => Y0) => Y0)))) = $true)) )),
0.16/0.38	  inference(binary_proxy_clausification,[],[f62])).
0.16/0.38	thf(f62,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X3 @ X2)) => (!! @ $o @ (^[Y0 : $o]: (((X3 = X1) => Y0) => (((in @ X1 @ X2) => Y0) => Y0))))) = $true)) )),
0.16/0.38	  inference(beta_eta_normalization,[],[f61])).
0.16/0.38	thf(f61,plain,(
0.16/0.38	  ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ X1 @ (setadjoin @ Y0 @ X2)) => (!! @ $o @ (^[Y1 : $o]: (((Y0 = X1) => Y1) => (((in @ X1 @ X2) => Y1) => Y1)))))) @ X3) = $true)) )),
0.16/0.38	  inference(pi_clausification,[],[f60])).
0.16/0.38	thf(f60,plain,(
0.16/0.38	  ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (setadjoin @ Y0 @ X2)) => (!! @ $o @ (^[Y1 : $o]: (((Y0 = X1) => Y1) => (((in @ X1 @ X2) => Y1) => Y1))))))))) )),
0.16/0.38	  inference(beta_eta_normalization,[],[f59])).
0.16/0.38	thf(f59,plain,(
0.16/0.38	  ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (setadjoin @ Y1 @ Y0)) => (!! @ $o @ (^[Y2 : $o]: (((Y1 = X1) => Y2) => (((in @ X1 @ Y0) => Y2) => Y2)))))))) @ X2) = $true)) )),
0.16/0.38	  inference(pi_clausification,[],[f58])).
0.16/0.38	thf(f58,plain,(
0.16/0.38	  ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ (setadjoin @ Y1 @ Y0)) => (!! @ $o @ (^[Y2 : $o]: (((Y1 = X1) => Y2) => (((in @ X1 @ Y0) => Y2) => Y2))))))))) = $true)) )),
0.16/0.38	  inference(beta_eta_normalization,[],[f57])).
0.16/0.38	thf(f57,plain,(
0.16/0.38	  ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setadjoin @ Y2 @ Y1)) => (!! @ $o @ (^[Y3 : $o]: (((Y2 = Y0) => Y3) => (((in @ Y0 @ Y1) => Y3) => Y3)))))))))) @ X1) = $true)) )),
0.16/0.38	  inference(pi_clausification,[],[f34])).
0.16/0.38	thf(f34,plain,(
0.16/0.38	  ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setadjoin @ Y2 @ Y1)) => (!! @ $o @ (^[Y3 : $o]: (((Y2 = Y0) => Y3) => (((in @ Y0 @ Y1) => Y3) => Y3))))))))))) = $true)),
0.16/0.38	  inference(definition_unfolding,[],[f24,f23])).
0.16/0.38	thf(f23,plain,(
0.16/0.38	  (setadjoinE = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setadjoin @ Y2 @ Y1)) => (!! @ $o @ (^[Y3 : $o]: (((Y2 = Y0) => Y3) => (((in @ Y0 @ Y1) => Y3) => Y3))))))))))))),
0.16/0.38	  inference(cnf_transformation,[],[f9])).
0.16/0.38	thf(f9,plain,(
0.16/0.38	  (setadjoinE = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y0 @ (setadjoin @ Y2 @ Y1)) => (!! @ $o @ (^[Y3 : $o]: (((Y2 = Y0) => Y3) => (((in @ Y0 @ Y1) => Y3) => Y3))))))))))))),
0.16/0.38	  inference(fool_elimination,[],[f8])).
0.16/0.38	thf(f8,plain,(
0.16/0.38	  (setadjoinE = ! [X0,X1,X2] : ((in @ X2 @ (setadjoin @ X0 @ X1)) => ! [X3 : $o] : (((X0 = X2) => X3) => (((in @ X2 @ X1) => X3) => X3))))),
0.16/0.38	  inference(rectify,[],[f1])).
0.16/0.38	thf(f1,axiom,(
0.16/0.38	  (setadjoinE = ! [X0,X1,X2] : ((in @ X2 @ (setadjoin @ X0 @ X1)) => ! [X3 : $o] : (((X0 = X2) => X3) => (((in @ X2 @ X1) => X3) => X3))))),
0.16/0.38	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setadjoinE)).
0.16/0.38	thf(f24,plain,(
0.16/0.38	  (setadjoinE = $true)),
0.16/0.38	  inference(cnf_transformation,[],[f21])).
0.16/0.38	thf(f86,plain,(
0.16/0.38	  ~spl4_1 | spl4_2),
0.16/0.38	  inference(avatar_split_clause,[],[f28,f83,f79])).
0.16/0.38	thf(f28,plain,(
0.16/0.38	  (sK3 = $true) | ((in @ sK2 @ sK0) != $true)),
0.16/0.38	  inference(cnf_transformation,[],[f21])).
0.16/0.38	% SZS output end Proof for theBenchmark
0.16/0.38	% (19731)------------------------------
0.16/0.38	% (19731)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.16/0.38	% (19731)Termination reason: Refutation
0.16/0.38	
0.16/0.38	% (19731)Memory used [KB]: 6012
0.16/0.38	% (19731)Time elapsed: 0.059 s
0.16/0.38	% (19731)Instructions burned: 108 (million)
0.16/0.38	% (19731)------------------------------
0.16/0.38	% (19731)------------------------------
0.16/0.38	% (19727)Success in time 0.065 s
0.16/0.38	% Vampire---4.8 exiting
0.16/0.38	EOF