0.12/0.13	% Problem    : Vampire---4.8_6780 : TPTP v0.0.0. Released v0.0.0.
0.12/0.15	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.14/0.36	% Computer : n005.cluster.edu
0.14/0.36	% Model    : x86_64 x86_64
0.14/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory   : 8042.1875MB
0.14/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 1440
0.14/0.36	% WCLimit    : 180
0.14/0.36	% DateTime   : Mon Jul  3 12:53:15 EDT 2023
0.14/0.36	% CPUTime    : 
0.14/0.36	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.MslgLcBmWq/Vampire---4.8_6780 -m 12000  -t 180
0.14/0.38	% (6970)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.14/0.38	% (6971)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.14/0.38	% (6974)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.14/0.38	% (6972)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)
0.14/0.38	% (6976)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)
0.14/0.38	% (6973)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)
0.14/0.38	% (6975)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)
0.14/0.38	% (6976)Instruction limit reached!
0.14/0.38	% (6976)------------------------------
0.14/0.38	% (6976)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.38	% (6976)Termination reason: Unknown
0.14/0.38	% (6976)Termination phase: Saturation
0.14/0.38	
0.14/0.38	% (6976)Memory used [KB]: 5500
0.14/0.38	% (6976)Time elapsed: 0.005 s
0.14/0.38	% (6976)Instructions burned: 5 (million)
0.14/0.38	% (6976)------------------------------
0.14/0.38	% (6976)------------------------------
0.14/0.39	% (6971)Refutation not found, incomplete strategy
0.14/0.39	% (6971)------------------------------
0.14/0.39	% (6971)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.39	% (6971)Termination reason: Refutation not found, incomplete strategy
0.14/0.39	
0.14/0.39	
0.14/0.39	% (6971)Memory used [KB]: 5500
0.14/0.39	% (6971)Time elapsed: 0.006 s
0.14/0.39	% (6971)Instructions burned: 6 (million)
0.14/0.39	% (6971)------------------------------
0.14/0.39	% (6971)------------------------------
0.14/0.39	% (6977)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)
0.14/0.39	% (6970)First to succeed.
0.14/0.39	% (6977)Refutation not found, incomplete strategy
0.14/0.39	% (6977)------------------------------
0.14/0.39	% (6977)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.39	% (6977)Termination reason: Refutation not found, incomplete strategy
0.14/0.39	
0.14/0.39	
0.14/0.39	% (6977)Memory used [KB]: 5500
0.14/0.39	% (6977)Time elapsed: 0.005 s
0.14/0.39	% (6977)Instructions burned: 5 (million)
0.14/0.39	% (6977)------------------------------
0.14/0.39	% (6977)------------------------------
0.14/0.39	% (6972)Also succeeded, but the first one will report.
0.14/0.39	% (6970)Refutation found. Thanks to Tanya!
0.14/0.39	% SZS status Theorem for Vampire---4
0.14/0.39	% SZS output start Proof for Vampire---4
0.14/0.39	thf(func_def_0, type, in: $i > $i > $o).
0.14/0.39	thf(func_def_2, type, setadjoin: $i > $i > $i).
0.14/0.39	thf(func_def_3, type, powerset: $i > $i).
0.14/0.39	thf(func_def_4, type, dsetconstr: $i > ($i > $o) > $i).
0.14/0.39	thf(func_def_7, type, binunion: $i > $i > $i).
0.14/0.39	thf(func_def_8, type, kpair: $i > $i > $i).
0.14/0.39	thf(func_def_9, type, cartprod: $i > $i > $i).
0.14/0.39	thf(func_def_29, type, ph5: !>[X0: $tType]:(X0)).
0.14/0.39	thf(f95,plain,(
0.14/0.39	  $false),
0.14/0.39	  inference(avatar_sat_refutation,[],[f77,f83,f94])).
0.14/0.39	thf(f94,plain,(
0.14/0.39	  ~spl4_1),
0.14/0.39	  inference(avatar_contradiction_clause,[],[f93])).
0.14/0.39	thf(f93,plain,(
0.14/0.39	  $false | ~spl4_1),
0.14/0.39	  inference(trivial_inequality_removal,[],[f92])).
0.14/0.39	thf(f92,plain,(
0.14/0.39	  ($false = $true) | ~spl4_1),
0.14/0.39	  inference(backward_demodulation,[],[f28,f89])).
0.14/0.39	thf(f89,plain,(
0.14/0.39	  ($false = (in @ sK3 @ sK0)) | ~spl4_1),
0.14/0.39	  inference(trivial_inequality_removal,[],[f88])).
0.14/0.39	thf(f88,plain,(
0.14/0.39	  ($false = $true) | ($false = (in @ sK3 @ sK0)) | ~spl4_1),
0.14/0.40	  inference(forward_demodulation,[],[f87,f29])).
0.14/0.40	thf(f29,plain,(
0.14/0.40	  ($true = (in @ sK2 @ sK1))),
0.14/0.40	  inference(cnf_transformation,[],[f22])).
0.14/0.40	thf(f22,plain,(
0.14/0.40	  (ubforcartprodlem3 = $true) & (($true = (in @ sK2 @ sK1)) & (((in @ sK3 @ sK0) = $true) & ($true != (in @ (kpair @ sK2 @ sK3) @ (cartprod @ sK1 @ sK0))))) & (dsetconstrI = $true)),
0.14/0.40	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f19,f21,f20])).
0.14/0.40	thf(f20,plain,(
0.14/0.40	  ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ? [X3] : (((in @ X3 @ X0) = $true) & ($true != (in @ (kpair @ X2 @ X3) @ (cartprod @ X1 @ X0))))) => (($true = (in @ sK2 @ sK1)) & ? [X3] : (($true = (in @ X3 @ sK0)) & ((in @ (kpair @ sK2 @ X3) @ (cartprod @ sK1 @ sK0)) != $true)))),
0.14/0.40	  introduced(choice_axiom,[])).
0.14/0.40	thf(f21,plain,(
0.14/0.40	  ? [X3] : (($true = (in @ X3 @ sK0)) & ((in @ (kpair @ sK2 @ X3) @ (cartprod @ sK1 @ sK0)) != $true)) => (((in @ sK3 @ sK0) = $true) & ($true != (in @ (kpair @ sK2 @ sK3) @ (cartprod @ sK1 @ sK0))))),
0.14/0.40	  introduced(choice_axiom,[])).
0.14/0.40	thf(f19,plain,(
0.14/0.40	  (ubforcartprodlem3 = $true) & ? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ? [X3] : (((in @ X3 @ X0) = $true) & ($true != (in @ (kpair @ X2 @ X3) @ (cartprod @ X1 @ X0))))) & (dsetconstrI = $true)),
0.14/0.40	  inference(flattening,[],[f18])).
0.14/0.40	thf(f18,plain,(
0.14/0.40	  (? [X0,X1,X2] : (((in @ X2 @ X1) = $true) & ? [X3] : (((in @ X3 @ X0) = $true) & ($true != (in @ (kpair @ X2 @ X3) @ (cartprod @ X1 @ X0))))) & (ubforcartprodlem3 = $true)) & (dsetconstrI = $true)),
0.14/0.40	  inference(ennf_transformation,[],[f13])).
0.14/0.40	thf(f13,plain,(
0.14/0.40	  ~((dsetconstrI = $true) => ((ubforcartprodlem3 = $true) => ! [X0,X1,X2] : (((in @ X2 @ X1) = $true) => ! [X3] : (((in @ X3 @ X0) = $true) => ($true = (in @ (kpair @ X2 @ X3) @ (cartprod @ X1 @ X0)))))))),
0.14/0.40	  inference(fool_elimination,[],[f12])).
0.14/0.40	thf(f12,plain,(
0.14/0.40	  ~(dsetconstrI => (ubforcartprodlem3 => ! [X0,X1,X2] : ((in @ X2 @ X1) => ! [X3] : ((in @ X3 @ X0) => (in @ (kpair @ X2 @ X3) @ (cartprod @ X1 @ X0))))))),
0.14/0.40	  inference(rectify,[],[f6])).
0.14/0.40	thf(f6,negated_conjecture,(
0.14/0.40	  ~(dsetconstrI => (ubforcartprodlem3 => ! [X4,X0,X2] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X4) => (in @ (kpair @ X2 @ X3) @ (cartprod @ X0 @ X4))))))),
0.14/0.40	  inference(negated_conjecture,[],[f5])).
0.14/0.40	thf(f5,conjecture,(
0.14/0.40	  dsetconstrI => (ubforcartprodlem3 => ! [X4,X0,X2] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X4) => (in @ (kpair @ X2 @ X3) @ (cartprod @ X0 @ X4)))))),
0.14/0.40	  file('/export/starexec/sandbox2/tmp/tmp.MslgLcBmWq/Vampire---4.8_6780',cartprodpairin)).
0.14/0.40	thf(f87,plain,(
0.14/0.40	  ($false = (in @ sK2 @ sK1)) | ($false = (in @ sK3 @ sK0)) | ~spl4_1),
0.14/0.40	  inference(trivial_inequality_removal,[],[f84])).
0.14/0.40	thf(f84,plain,(
0.14/0.40	  ($false = (in @ sK2 @ sK1)) | ($false = $true) | ($false = (in @ sK3 @ sK0)) | ~spl4_1),
0.14/0.40	  inference(superposition,[],[f73,f47])).
0.14/0.40	thf(f47,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (in @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1 @ X2))))) | ($false = (in @ X3 @ X1)) | ($false = (in @ X4 @ X2))) )),
0.14/0.40	  inference(binary_proxy_clausification,[],[f46])).
0.14/0.40	thf(f46,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((in @ X4 @ X2) => (in @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ X4 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1 @ X2)))))) | ($false = (in @ X3 @ X1))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f45])).
0.14/0.40	thf(f45,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (in @ X3 @ X1)) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1 @ X2)))))) @ X4))) )),
0.14/0.40	  inference(pi_clausification,[],[f44])).
0.14/0.40	thf(f44,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1 @ X2)))))))) | ($false = (in @ X3 @ X1))) )),
0.14/0.40	  inference(binary_proxy_clausification,[],[f43])).
0.14/0.40	thf(f43,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ X3 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ (setadjoin @ (setadjoin @ X3 @ emptyset) @ (setadjoin @ (setadjoin @ X3 @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1 @ X2)))))))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f42])).
0.14/0.40	thf(f42,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X2) => (in @ (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1 @ X2))))))))) @ X3))) )),
0.14/0.40	  inference(pi_clausification,[],[f41])).
0.14/0.40	thf(f41,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X2) => (in @ (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1 @ X2)))))))))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f40])).
0.14/0.40	thf(f40,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ (setadjoin @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ (setadjoin @ Y2 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1 @ Y0))))))))))) @ X2))) )),
0.14/0.40	  inference(pi_clausification,[],[f39])).
0.14/0.40	thf(f39,plain,(
0.14/0.40	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (in @ (setadjoin @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ (setadjoin @ Y2 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ X1 @ Y0)))))))))))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f38])).
0.14/0.40	thf(f38,plain,(
0.14/0.40	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ (setadjoin @ (setadjoin @ Y2 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ (setadjoin @ Y3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ Y0 @ Y1))))))))))))) @ X1))) )),
0.14/0.40	  inference(pi_clausification,[],[f37])).
0.14/0.40	thf(f37,plain,(
0.14/0.40	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ (setadjoin @ (setadjoin @ Y2 @ emptyset) @ (setadjoin @ (setadjoin @ Y2 @ (setadjoin @ Y3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ Y0 @ Y1)))))))))))))))),
0.14/0.40	  inference(beta_eta_normalization,[],[f34])).
0.14/0.40	thf(f34,plain,(
0.14/0.40	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ ((^[Y4 : $i]: ((^[Y5 : $i]: (setadjoin @ (setadjoin @ Y4 @ emptyset) @ (setadjoin @ (setadjoin @ Y4 @ (setadjoin @ Y5 @ emptyset)) @ emptyset))))) @ Y2 @ Y3) @ (powerset @ (powerset @ (binunion @ Y0 @ Y1)))))))))))))))),
0.14/0.40	  inference(definition_unfolding,[],[f30,f33])).
0.14/0.40	thf(f33,plain,(
0.14/0.40	  (ubforcartprodlem3 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ ((^[Y4 : $i]: ((^[Y5 : $i]: (setadjoin @ (setadjoin @ Y4 @ emptyset) @ (setadjoin @ (setadjoin @ Y4 @ (setadjoin @ Y5 @ emptyset)) @ emptyset))))) @ Y2 @ Y3) @ (powerset @ (powerset @ (binunion @ Y0 @ Y1)))))))))))))))),
0.14/0.40	  inference(definition_unfolding,[],[f24,f23])).
0.14/0.40	thf(f23,plain,(
0.14/0.40	  (kpair = (^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))))),
0.14/0.40	  inference(cnf_transformation,[],[f9])).
0.14/0.40	thf(f9,plain,(
0.14/0.40	  (kpair = (^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))))),
0.14/0.40	  inference(fool_elimination,[],[f8])).
0.14/0.40	thf(f8,plain,(
0.14/0.40	  ((^[X0 : $i, X1 : $i] : (setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset))) = kpair)),
0.14/0.40	  inference(rectify,[],[f2])).
0.14/0.40	thf(f2,axiom,(
0.14/0.40	  ((^[X2 : $i, X3 : $i] : (setadjoin @ (setadjoin @ X2 @ emptyset) @ (setadjoin @ (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset)) @ emptyset))) = kpair)),
0.14/0.40	  file('/export/starexec/sandbox2/tmp/tmp.MslgLcBmWq/Vampire---4.8_6780',kpair)).
0.14/0.40	thf(f24,plain,(
0.14/0.40	  (ubforcartprodlem3 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ (kpair @ Y2 @ Y3) @ (powerset @ (powerset @ (binunion @ Y0 @ Y1)))))))))))))))),
0.14/0.40	  inference(cnf_transformation,[],[f15])).
0.14/0.40	thf(f15,plain,(
0.14/0.40	  (ubforcartprodlem3 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y1) => (in @ (kpair @ Y2 @ Y3) @ (powerset @ (powerset @ (binunion @ Y0 @ Y1)))))))))))))))),
0.14/0.40	  inference(fool_elimination,[],[f14])).
0.14/0.40	thf(f14,plain,(
0.14/0.40	  (! [X0,X1,X2] : ((in @ X0 @ X2) => ! [X3] : ((in @ X3 @ X1) => (in @ (kpair @ X0 @ X3) @ (powerset @ (powerset @ (binunion @ X2 @ X1)))))) = ubforcartprodlem3)),
0.14/0.40	  inference(rectify,[],[f4])).
0.14/0.40	thf(f4,axiom,(
0.14/0.40	  (! [X2,X4,X0] : ((in @ X2 @ X0) => ! [X3] : ((in @ X3 @ X4) => (in @ (kpair @ X2 @ X3) @ (powerset @ (powerset @ (binunion @ X0 @ X4)))))) = ubforcartprodlem3)),
0.14/0.40	  file('/export/starexec/sandbox2/tmp/tmp.MslgLcBmWq/Vampire---4.8_6780',ubforcartprodlem3)).
0.14/0.40	thf(f30,plain,(
0.14/0.40	  (ubforcartprodlem3 = $true)),
0.14/0.40	  inference(cnf_transformation,[],[f22])).
0.14/0.40	thf(f73,plain,(
0.14/0.40	  ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0))))) | ~spl4_1),
0.14/0.40	  inference(avatar_component_clause,[],[f71])).
0.14/0.40	thf(f71,plain,(
0.14/0.40	  spl4_1 <=> ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0)))))),
0.14/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
0.14/0.40	thf(f28,plain,(
0.14/0.40	  ((in @ sK3 @ sK0) = $true)),
0.14/0.40	  inference(cnf_transformation,[],[f22])).
0.14/0.40	thf(f83,plain,(
0.14/0.40	  ~spl4_2),
0.14/0.40	  inference(avatar_contradiction_clause,[],[f82])).
0.14/0.40	thf(f82,plain,(
0.14/0.40	  $false | ~spl4_2),
0.14/0.40	  inference(trivial_inequality_removal,[],[f81])).
0.14/0.40	thf(f81,plain,(
0.14/0.40	  ($false = $true) | ~spl4_2),
0.14/0.40	  inference(backward_demodulation,[],[f28,f80])).
0.14/0.40	thf(f80,plain,(
0.14/0.40	  ($false = (in @ sK3 @ sK0)) | ~spl4_2),
0.14/0.40	  inference(trivial_inequality_removal,[],[f79])).
0.14/0.40	thf(f79,plain,(
0.14/0.40	  ($false = (in @ sK3 @ sK0)) | ($false = $true) | ~spl4_2),
0.14/0.40	  inference(forward_demodulation,[],[f78,f29])).
0.14/0.40	thf(f78,plain,(
0.14/0.40	  ($false = (in @ sK3 @ sK0)) | ($false = (in @ sK2 @ sK1)) | ~spl4_2),
0.14/0.40	  inference(equality_resolution,[],[f76])).
0.14/0.40	thf(f76,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : (((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset))) | ($false = (in @ X1 @ sK1)) | ($false = (in @ X2 @ sK0))) ) | ~spl4_2),
0.14/0.40	  inference(avatar_component_clause,[],[f75])).
0.14/0.40	thf(f75,plain,(
0.14/0.40	  spl4_2 <=> ! [X2,X1] : (($false = (in @ X2 @ sK0)) | ($false = (in @ X1 @ sK1)) | ((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset))))),
0.14/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
0.14/0.40	thf(f77,plain,(
0.14/0.40	  spl4_1 | spl4_2),
0.14/0.40	  inference(avatar_split_clause,[],[f69,f75,f71])).
0.14/0.40	thf(f69,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : (($false = (in @ X2 @ sK0)) | ($false = (in @ X1 @ sK1)) | ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0))))) | ((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)))) )),
0.14/0.40	  inference(equality_proxy_clausification,[],[f68])).
0.14/0.40	thf(f68,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : (($false = (in @ X1 @ sK1)) | ($false = ((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)))) | ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0))))) | ($false = (in @ X2 @ sK0))) )),
0.14/0.40	  inference(binary_proxy_clausification,[],[f67])).
0.14/0.40	thf(f67,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : (($false = (in @ X1 @ sK1)) | ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0))))) | ($false = ((in @ X2 @ sK0) & ((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f66])).
0.14/0.40	thf(f66,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: ((in @ Y0 @ sK0) & ((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset))))) @ X2)) | ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0))))) | ($false = (in @ X1 @ sK1))) )),
0.14/0.40	  inference(pi_clausification,[],[f65])).
0.14/0.40	thf(f65,plain,(
0.14/0.40	  ( ! [X1 : $i] : (($false = (in @ X1 @ sK1)) | ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0))))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK0) & ((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)))))))) )),
0.14/0.40	  inference(binary_proxy_clausification,[],[f64])).
0.14/0.40	thf(f64,plain,(
0.14/0.40	  ( ! [X1 : $i] : (($false = ((in @ X1 @ sK1) & (?? @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK0) & ((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)))))))) | ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0)))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f63])).
0.14/0.40	thf(f63,plain,(
0.14/0.40	  ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((in @ Y0 @ sK1) & (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK0) & ((setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)))))))) @ X1)) | ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0)))))) )),
0.14/0.40	  inference(pi_clausification,[],[f62])).
0.14/0.40	thf(f62,plain,(
0.14/0.40	  ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0))))) | ($false = (?? @ $i @ (^[Y0 : $i]: ((in @ Y0 @ sK1) & (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK0) & ((setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset))))))))))),
0.14/0.40	  inference(beta_eta_normalization,[],[f61])).
0.14/0.40	thf(f61,plain,(
0.14/0.40	  ($false = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK1) & (?? @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK0) & ((setadjoin @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ (setadjoin @ Y2 @ emptyset)) @ emptyset)) = Y0)))))))) @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)))) | ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0)))))),
0.14/0.40	  inference(trivial_inequality_removal,[],[f60])).
0.14/0.40	thf(f60,plain,(
0.14/0.40	  ($false = ((^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK1) & (?? @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK0) & ((setadjoin @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ (setadjoin @ Y2 @ emptyset)) @ emptyset)) = Y0)))))))) @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)))) | ($false = (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (powerset @ (powerset @ (binunion @ sK1 @ sK0))))) | ($true != $true)),
0.14/0.40	  inference(superposition,[],[f57,f56])).
0.14/0.40	thf(f56,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : (($true = (in @ X1 @ (dsetconstr @ X2 @ X3))) | ($false = (in @ X1 @ X2)) | ((X3 @ X1) = $false)) )),
0.14/0.40	  inference(binary_proxy_clausification,[],[f55])).
0.14/0.40	thf(f55,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : (($true = ((X3 @ X1) => (in @ X1 @ (dsetconstr @ X2 @ X3)))) | ($false = (in @ X1 @ X2))) )),
0.14/0.40	  inference(binary_proxy_clausification,[],[f54])).
0.14/0.40	thf(f54,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : (($true = ((in @ X1 @ X2) => ((X3 @ X1) => (in @ X1 @ (dsetconstr @ X2 @ X3)))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f53])).
0.14/0.40	thf(f53,plain,(
0.14/0.40	  ( ! [X2 : $i,X3 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((in @ X1 @ X2) => ((Y0 @ X1) => (in @ X1 @ (dsetconstr @ X2 @ Y0))))) @ X3))) )),
0.14/0.40	  inference(pi_clausification,[],[f52])).
0.14/0.40	thf(f52,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((in @ X1 @ X2) => ((Y0 @ X1) => (in @ X1 @ (dsetconstr @ X2 @ Y0)))))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f51])).
0.14/0.40	thf(f51,plain,(
0.14/0.40	  ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((in @ X1 @ Y0) => ((Y1 @ X1) => (in @ X1 @ (dsetconstr @ Y0 @ Y1))))))) @ X2))) )),
0.14/0.40	  inference(pi_clausification,[],[f50])).
0.14/0.40	thf(f50,plain,(
0.14/0.40	  ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((in @ X1 @ Y0) => ((Y1 @ X1) => (in @ X1 @ (dsetconstr @ Y0 @ Y1)))))))))) )),
0.14/0.40	  inference(beta_eta_normalization,[],[f49])).
0.14/0.40	thf(f49,plain,(
0.14/0.40	  ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ Y2))))))))) @ X1))) )),
0.14/0.40	  inference(pi_clausification,[],[f48])).
0.14/0.40	thf(f48,plain,(
0.14/0.40	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ Y2)))))))))))),
0.14/0.40	  inference(beta_eta_normalization,[],[f36])).
0.14/0.40	thf(f36,plain,(
0.14/0.40	  ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y2 @ Y3)))))))))))))),
0.14/0.40	  inference(definition_unfolding,[],[f26,f25])).
0.14/0.40	thf(f25,plain,(
0.14/0.40	  (dsetconstrI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y2 @ Y3)))))))))))))),
0.14/0.40	  inference(cnf_transformation,[],[f17])).
0.14/0.40	thf(f17,plain,(
0.14/0.40	  (dsetconstrI = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((in @ Y0 @ Y1) => ((Y2 @ Y0) => (in @ Y0 @ (dsetconstr @ Y1 @ (^[Y3 : $i]: (Y2 @ Y3)))))))))))))),
0.14/0.40	  inference(fool_elimination,[],[f16])).
0.14/0.40	thf(f16,plain,(
0.14/0.40	  (! [X0 : $i > $o,X1,X2] : ((in @ X2 @ X1) => ((X0 @ X2) => (in @ X2 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X0 @ X3)))))) = dsetconstrI)),
0.14/0.40	  inference(rectify,[],[f1])).
0.14/0.40	thf(f1,axiom,(
0.14/0.40	  (! [X1 : $i > $o,X0,X2] : ((in @ X2 @ X0) => ((X1 @ X2) => (in @ X2 @ (dsetconstr @ X0 @ (^[X3 : $i] : (X1 @ X3)))))) = dsetconstrI)),
0.14/0.40	  file('/export/starexec/sandbox2/tmp/tmp.MslgLcBmWq/Vampire---4.8_6780',dsetconstrI)).
0.14/0.40	thf(f26,plain,(
0.14/0.40	  (dsetconstrI = $true)),
0.14/0.40	  inference(cnf_transformation,[],[f22])).
0.14/0.40	thf(f57,plain,(
0.14/0.40	  ($true != (in @ (setadjoin @ (setadjoin @ sK2 @ emptyset) @ (setadjoin @ (setadjoin @ sK2 @ (setadjoin @ sK3 @ emptyset)) @ emptyset)) @ (dsetconstr @ (powerset @ (powerset @ (binunion @ sK1 @ sK0))) @ (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((in @ Y1 @ sK1) & (?? @ $i @ (^[Y2 : $i]: ((in @ Y2 @ sK0) & ((setadjoin @ (setadjoin @ Y1 @ emptyset) @ (setadjoin @ (setadjoin @ Y1 @ (setadjoin @ Y2 @ emptyset)) @ emptyset)) = Y0)))))))))))),
0.14/0.40	  inference(beta_eta_normalization,[],[f35])).
0.14/0.40	thf(f35,plain,(
0.14/0.40	  ($true != (in @ ((^[Y0 : $i]: ((^[Y1 : $i]: (setadjoin @ (setadjoin @ Y0 @ emptyset) @ (setadjoin @ (setadjoin @ Y0 @ (setadjoin @ Y1 @ emptyset)) @ emptyset))))) @ sK2 @ sK3) @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (powerset @ (powerset @ (binunion @ Y0 @ Y1))) @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) & (((^[Y5 : $i]: ((^[Y6 : $i]: (setadjoin @ (setadjoin @ Y5 @ emptyset) @ (setadjoin @ (setadjoin @ Y5 @ (setadjoin @ Y6 @ emptyset)) @ emptyset))))) @ Y3 @ Y4) = Y2)))))))))))) @ sK1 @ sK0)))),
0.14/0.40	  inference(definition_unfolding,[],[f27,f23,f32])).
0.14/0.40	thf(f32,plain,(
0.14/0.40	  (cartprod = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (powerset @ (powerset @ (binunion @ Y0 @ Y1))) @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) & (((^[Y5 : $i]: ((^[Y6 : $i]: (setadjoin @ (setadjoin @ Y5 @ emptyset) @ (setadjoin @ (setadjoin @ Y5 @ (setadjoin @ Y6 @ emptyset)) @ emptyset))))) @ Y3 @ Y4) = Y2)))))))))))))),
0.14/0.40	  inference(definition_unfolding,[],[f31,f23])).
0.14/0.40	thf(f31,plain,(
0.14/0.40	  (cartprod = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (powerset @ (powerset @ (binunion @ Y0 @ Y1))) @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) & ((kpair @ Y3 @ Y4) = Y2)))))))))))))),
0.14/0.40	  inference(cnf_transformation,[],[f11])).
0.14/0.40	thf(f11,plain,(
0.14/0.40	  (cartprod = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (powerset @ (powerset @ (binunion @ Y0 @ Y1))) @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((in @ Y3 @ Y0) & (?? @ $i @ (^[Y4 : $i]: ((in @ Y4 @ Y1) & ((kpair @ Y3 @ Y4) = Y2)))))))))))))),
0.14/0.40	  inference(fool_elimination,[],[f10])).
0.14/0.40	thf(f10,plain,(
0.14/0.40	  (cartprod = (^[X0 : $i, X1 : $i] : (dsetconstr @ (powerset @ (powerset @ (binunion @ X0 @ X1))) @ (^[X2 : $i] : (? [X3] : (? [X4] : (((kpair @ X3 @ X4) = X2) & (in @ X4 @ X1)) & (in @ X3 @ X0)))))))),
0.14/0.40	  inference(rectify,[],[f3])).
0.14/0.40	thf(f3,axiom,(
0.14/0.40	  (cartprod = (^[X0 : $i, X4 : $i] : (dsetconstr @ (powerset @ (powerset @ (binunion @ X0 @ X4))) @ (^[X2 : $i] : (? [X3] : (? [X5] : (((kpair @ X3 @ X5) = X2) & (in @ X5 @ X4)) & (in @ X3 @ X0)))))))),
0.14/0.40	  file('/export/starexec/sandbox2/tmp/tmp.MslgLcBmWq/Vampire---4.8_6780',cartprod)).
0.14/0.40	thf(f27,plain,(
0.14/0.40	  ($true != (in @ (kpair @ sK2 @ sK3) @ (cartprod @ sK1 @ sK0)))),
0.14/0.40	  inference(cnf_transformation,[],[f22])).
0.14/0.40	% SZS output end Proof for Vampire---4
0.14/0.40	% (6970)------------------------------
0.14/0.40	% (6970)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.14/0.40	% (6970)Termination reason: Refutation
0.14/0.40	
0.14/0.40	% (6970)Memory used [KB]: 5628
0.14/0.40	% (6970)Time elapsed: 0.015 s
0.14/0.40	% (6970)Instructions burned: 14 (million)
0.14/0.40	% (6970)------------------------------
0.14/0.40	% (6970)------------------------------
0.14/0.40	% (6967)Success in time 0.026 s
0.14/0.40	% Vampire---4.8 exiting
0.14/0.40	EOF