0.07/0.16	% Problem    : Vampire---4.8_18295 : TPTP v0.0.0. Released v0.0.0.
0.17/0.18	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.17/0.39	% Computer : n004.cluster.edu
0.17/0.39	% Model    : x86_64 x86_64
0.17/0.39	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.17/0.39	% Memory   : 8042.1875MB
0.17/0.39	% OS       : Linux 3.10.0-693.el7.x86_64
0.17/0.39	% CPULimit   : 1440
0.17/0.39	% WCLimit    : 180
0.17/0.39	% DateTime   : Mon Jul  3 12:45:15 EDT 2023
0.17/0.39	% CPUTime    : 
0.24/0.39	This is a THF_ problem
0.24/0.39	Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.HNnWGvDisw/Vampire---4.8_18295 -m 12000  -t 180
0.24/0.43	% (18405)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)
0.24/0.43	% (18407)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.24/0.43	% (18408)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)
0.24/0.43	% (18410)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)
0.24/0.43	% (18409)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)
0.24/0.43	% (18406)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)
0.24/0.43	% (18409)Instruction limit reached!
0.24/0.43	% (18409)------------------------------
0.24/0.43	% (18409)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.43	% (18409)Termination reason: Unknown
0.24/0.43	% (18409)Termination phase: shuffling
0.24/0.43	
0.24/0.43	% (18409)Memory used [KB]: 1407
0.24/0.43	% (18409)Time elapsed: 0.005 s
0.24/0.43	% (18409)Instructions burned: 5 (million)
0.24/0.43	% (18409)------------------------------
0.24/0.43	% (18409)------------------------------
0.24/0.43	% (18403)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.24/0.43	% (18407)Instruction limit reached!
0.24/0.43	% (18407)------------------------------
0.24/0.43	% (18407)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.43	% (18407)Termination reason: Unknown
0.24/0.43	% (18407)Termination phase: shuffling
0.24/0.43	
0.24/0.43	% (18407)Memory used [KB]: 1791
0.24/0.43	% (18407)Time elapsed: 0.011 s
0.24/0.43	% (18407)Instructions burned: 17 (million)
0.24/0.43	% (18407)------------------------------
0.24/0.43	% (18407)------------------------------
0.24/0.44	% (18404)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.24/0.44	% (18405)Instruction limit reached!
0.24/0.44	% (18405)------------------------------
0.24/0.44	% (18405)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.44	% (18405)Termination reason: Unknown
0.24/0.44	% (18405)Termination phase: shuffling
0.24/0.44	
0.24/0.44	% (18405)Memory used [KB]: 2174
0.24/0.44	% (18405)Time elapsed: 0.020 s
0.24/0.44	% (18405)Instructions burned: 35 (million)
0.24/0.44	% (18405)------------------------------
0.24/0.44	% (18405)------------------------------
0.24/0.44	% (18411)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)
0.24/0.45	% (18412)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.24/0.45	% (18412)Instruction limit reached!
0.24/0.45	% (18412)------------------------------
0.24/0.45	% (18412)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.45	% (18412)Termination reason: Unknown
0.24/0.45	% (18412)Termination phase: shuffling
0.24/0.45	
0.24/0.45	% (18412)Memory used [KB]: 1535
0.24/0.45	% (18412)Time elapsed: 0.006 s
0.24/0.45	% (18412)Instructions burned: 8 (million)
0.24/0.45	% (18412)------------------------------
0.24/0.45	% (18412)------------------------------
0.24/0.45	% (18411)Instruction limit reached!
0.24/0.45	% (18411)------------------------------
0.24/0.45	% (18411)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.45	% (18411)Termination reason: Unknown
0.24/0.45	% (18411)Termination phase: shuffling
0.24/0.45	
0.24/0.45	% (18411)Memory used [KB]: 1791
0.24/0.45	% (18411)Time elapsed: 0.013 s
0.24/0.45	% (18411)Instructions burned: 22 (million)
0.24/0.45	% (18411)------------------------------
0.24/0.45	% (18411)------------------------------
0.24/0.46	% (18404)Instruction limit reached!
0.24/0.46	% (18404)------------------------------
0.24/0.46	% (18404)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.46	% (18404)Termination reason: Unknown
0.24/0.46	% (18404)Termination phase: Property scanning
0.24/0.46	
0.24/0.46	% (18404)Memory used [KB]: 2174
0.24/0.46	% (18404)Time elapsed: 0.021 s
0.24/0.46	% (18404)Instructions burned: 37 (million)
0.24/0.46	% (18404)------------------------------
0.24/0.46	% (18404)------------------------------
0.24/0.46	% (18413)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)
0.24/0.46	% (18408)Instruction limit reached!
0.24/0.46	% (18408)------------------------------
0.24/0.46	% (18408)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.46	% (18408)Termination reason: Unknown
0.24/0.46	% (18408)Termination phase: Property scanning
0.24/0.46	
0.24/0.46	% (18408)Memory used [KB]: 2302
0.24/0.46	% (18408)Time elapsed: 0.037 s
0.24/0.46	% (18408)Instructions burned: 74 (million)
0.24/0.46	% (18408)------------------------------
0.24/0.46	% (18408)------------------------------
0.24/0.47	% (18414)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)
0.24/0.47	% (18415)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)
0.24/0.47	% (18403)Instruction limit reached!
0.24/0.47	% (18403)------------------------------
0.24/0.47	% (18403)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.47	% (18403)Termination reason: Unknown
0.24/0.47	% (18403)Termination phase: Property scanning
0.24/0.47	
0.24/0.47	% (18403)Memory used [KB]: 2430
0.24/0.47	% (18403)Time elapsed: 0.041 s
0.24/0.47	% (18403)Instructions burned: 96 (million)
0.24/0.47	% (18403)------------------------------
0.24/0.47	% (18403)------------------------------
0.24/0.47	% (18416)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)
0.24/0.47	% (18415)Instruction limit reached!
0.24/0.47	% (18415)------------------------------
0.24/0.47	% (18415)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.47	% (18415)Termination reason: Unknown
0.24/0.47	% (18415)Termination phase: shuffling
0.24/0.47	
0.24/0.47	% (18415)Memory used [KB]: 1535
0.24/0.47	% (18415)Time elapsed: 0.007 s
0.24/0.47	% (18415)Instructions burned: 9 (million)
0.24/0.47	% (18415)------------------------------
0.24/0.47	% (18415)------------------------------
0.24/0.48	% (18417)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)
0.24/0.48	% (18418)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.24/0.49	% (18419)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.24/0.50	% (18419)Instruction limit reached!
0.24/0.50	% (18419)------------------------------
0.24/0.50	% (18419)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.50	% (18419)Termination reason: Unknown
0.24/0.50	% (18419)Termination phase: shuffling
0.24/0.50	
0.24/0.50	% (18419)Memory used [KB]: 1663
0.24/0.50	% (18419)Time elapsed: 0.011 s
0.24/0.50	% (18419)Instructions burned: 14 (million)
0.24/0.50	% (18419)------------------------------
0.24/0.50	% (18419)------------------------------
0.24/0.50	% (18406)First to succeed.
0.24/0.50	% (18414)Instruction limit reached!
0.24/0.50	% (18414)------------------------------
0.24/0.50	% (18414)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.50	% (18414)Termination reason: Unknown
0.24/0.50	% (18414)Termination phase: Property scanning
0.24/0.50	
0.24/0.50	% (18414)Memory used [KB]: 2302
0.24/0.50	% (18414)Time elapsed: 0.036 s
0.24/0.50	% (18414)Instructions burned: 72 (million)
0.24/0.50	% (18414)------------------------------
0.24/0.50	% (18414)------------------------------
0.24/0.50	% (18418)Instruction limit reached!
0.24/0.50	% (18418)------------------------------
0.24/0.50	% (18418)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.50	% (18418)Termination reason: Unknown
0.24/0.50	% (18418)Termination phase: Preprocessing 3
0.24/0.50	
0.24/0.50	% (18418)Memory used [KB]: 2814
0.24/0.50	% (18418)Time elapsed: 0.024 s
0.24/0.50	% (18418)Instructions burned: 62 (million)
0.24/0.50	% (18418)------------------------------
0.24/0.50	% (18418)------------------------------
0.24/0.51	% (18406)Refutation found. Thanks to Tanya!
0.24/0.51	% SZS status Theorem for Vampire---4
0.24/0.51	% SZS output start Proof for Vampire---4
0.24/0.51	thf(func_def_0, type, in: $i > $i > $o).
0.24/0.51	thf(func_def_1, type, exu: ($i > $o) > $o).
0.24/0.51	thf(func_def_6, type, setadjoin: $i > $i > $i).
0.24/0.51	thf(func_def_8, type, powerset: $i > $i).
0.24/0.51	thf(func_def_10, type, setunion: $i > $i).
0.24/0.51	thf(func_def_19, type, descr: ($i > $o) > $i).
0.24/0.51	thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
0.24/0.51	thf(func_def_26, type, prop2set: $o > $i).
0.24/0.51	thf(func_def_36, type, nonempty: $i > $o).
0.24/0.51	thf(func_def_69, type, set2prop: $i > $o).
0.24/0.51	thf(func_def_88, type, subset: $i > $i > $o).
0.24/0.51	thf(func_def_89, type, disjoint: $i > $i > $o).
0.24/0.51	thf(func_def_90, type, setsmeet: $i > $i > $o).
0.24/0.51	thf(func_def_114, type, binunion: $i > $i > $i).
0.24/0.51	thf(func_def_122, type, binintersect: $i > $i > $i).
0.24/0.51	thf(func_def_135, type, regular: $i > $o).
0.24/0.51	thf(func_def_136, type, setminus: $i > $i > $i).
0.24/0.51	thf(func_def_147, type, symdiff: $i > $i > $i).
0.24/0.51	thf(func_def_153, type, iskpair: $i > $o).
0.24/0.51	thf(func_def_158, type, kpair: $i > $i > $i).
0.24/0.51	thf(func_def_160, type, cartprod: $i > $i > $i).
0.24/0.51	thf(func_def_177, type, singleton: $i > $o).
0.24/0.51	thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
0.24/0.51	thf(func_def_184, type, atmost1p: $i > $o).
0.24/0.51	thf(func_def_185, type, atleast2p: $i > $o).
0.24/0.51	thf(func_def_186, type, atmost2p: $i > $o).
0.24/0.51	thf(func_def_187, type, upairsetp: $i > $o).
0.24/0.51	thf(func_def_191, type, kfst: $i > $i).
0.24/0.51	thf(func_def_203, type, ksnd: $i > $i).
0.24/0.51	thf(func_def_213, type, breln: $i > $i > $i > $o).
0.24/0.51	thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
0.24/0.51	thf(func_def_222, type, func: $i > $i > $i > $o).
0.24/0.51	thf(func_def_223, type, funcSet: $i > $i > $i).
0.24/0.51	thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
0.24/0.51	thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
0.24/0.51	thf(func_def_268, type, sK0: $i > $i).
0.24/0.51	thf(func_def_272, type, sK4: ($i > $o) > $i > ($i > $o) > $i > $i).
0.24/0.51	thf(func_def_273, type, sK5: $i > $i > ($i > $o) > ($i > $o) > $i).
0.24/0.51	thf(func_def_274, type, sK6: $i > $i).
0.24/0.51	thf(func_def_275, type, sK7: ($i > $o) > $i).
0.24/0.51	thf(func_def_276, type, sK8: ($i > $o) > $i > $i).
0.24/0.51	thf(func_def_277, type, sK9: ($i > $o) > $i > $i).
0.24/0.51	thf(func_def_278, type, sK10: ($i > $o) > $i).
0.24/0.51	thf(func_def_279, type, sK11: ($i > $o) > $i > $i).
0.24/0.51	thf(func_def_280, type, sK12: ($i > $o) > $i > $i).
0.24/0.51	thf(func_def_281, type, sK13: $i > $i > $i).
0.24/0.51	thf(func_def_282, type, sK14: $i > $i > $i).
0.24/0.51	thf(func_def_283, type, sK15: $i > $i > $i).
0.24/0.51	thf(func_def_284, type, sK16: $i > $i).
0.24/0.51	thf(func_def_285, type, sK17: $i > ($i > $o) > $i).
0.24/0.51	thf(func_def_286, type, sK18: $i > ($i > $o) > $i).
0.24/0.51	thf(func_def_287, type, sK19: $i > ($i > $o) > $i).
0.24/0.51	thf(func_def_288, type, sK20: $i > ($i > $o) > $i).
0.24/0.51	thf(func_def_289, type, sK21: $i > ($i > $o) > $i).
0.24/0.51	thf(func_def_290, type, sK22: $i > ($i > $o) > $i).
0.24/0.51	thf(func_def_291, type, sK23: $i > ($i > $o) > $i).
0.24/0.51	thf(f1798,plain,(
0.24/0.51	  $false),
0.24/0.51	  inference(trivial_inequality_removal,[],[f1120])).
0.24/0.51	thf(f1120,plain,(
0.24/0.51	  (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i]: (dpsetconstr @ Y0 @ Y1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((Y2 @ Y3) = Y4)))))))))) @ sK1 @ sK2 @ (^[Y0 : $i]: (sK0 @ Y0))) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i]: (dpsetconstr @ Y0 @ Y1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((Y2 @ Y3) = Y4)))))))))) @ sK1 @ sK2 @ (^[Y0 : $i]: (sK0 @ Y0))))),
0.24/0.51	  inference(definition_unfolding,[],[f834,f947,f947])).
0.24/0.51	thf(f947,plain,(
0.24/0.51	  (lam = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i]: (dpsetconstr @ Y0 @ Y1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((Y2 @ Y3) = Y4)))))))))))),
0.24/0.51	  inference(cnf_transformation,[],[f320])).
0.24/0.51	thf(f320,plain,(
0.24/0.51	  (lam = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i]: (dpsetconstr @ Y0 @ Y1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((Y2 @ Y3) = Y4)))))))))))),
0.24/0.51	  inference(fool_elimination,[],[f319])).
0.24/0.51	thf(f319,plain,(
0.24/0.51	  (lam = (^[X0 : $i, X1 : $i, X2 : $i > $i] : (dpsetconstr @ X0 @ X1 @ (^[X3 : $i, X4 : $i] : (((X2 @ X3) = X4))))))),
0.24/0.51	  inference(rectify,[],[f201])).
0.24/0.51	thf(f201,axiom,(
0.24/0.51	  (lam = (^[X3 : $i, X4 : $i, X12 : $i > $i] : (dpsetconstr @ X3 @ X4 @ (^[X1 : $i, X2 : $i] : (((X12 @ X1) = X2))))))),
0.24/0.51	  file('/export/starexec/sandbox2/tmp/tmp.HNnWGvDisw/Vampire---4.8_18295',lam)).
0.24/0.51	thf(f834,plain,(
0.24/0.51	  ((lam @ sK1 @ sK2 @ (^[Y0 : $i]: (sK0 @ Y0))) != (lam @ sK1 @ sK2 @ (^[Y0 : $i]: (sK0 @ Y0))))),
0.24/0.51	  inference(cnf_transformation,[],[f660])).
0.24/0.51	thf(f660,plain,(
0.24/0.51	  (ap2apEq2 = $true) & (binunionEcases = $true) & (binintersectSubset1 = $true) & (funcGraphProp4 = $true) & (kpairiskpair = $true) & (cartprodsndpairEq = $true) & (upairsubunion = $true) & (descr__Cong = $true) & (sepInPowerset = $true) & (funcGraphProp3 = $true) & (binunionIR = $true) & (eqimpsubset2 = $true) & (ubforcartprodlem1 = $true) & (cartprodpairin = $true) & (ex1E2 = $true) & (emptyInPowerset = $true) & (setunionsingleton = $true) & (lam2p = $true) & (symdiffIneg1 = $true) & (eqimpsubset1 = $true) & (notequalI1 = $true) & (emptyinPowerset = $true) & (ubforcartprodlem3 = $true) & (setadjoinIL = $true) & (setukpairinjL = $true) & (cartprodfstpairEq = $true) & (binunionRsub = $true) & (nonemptyImpWitness = $true) & (dsetconstrER = $true) & (setunionE2 = $true) & (uniqinunit = $true) & (ap2apEq1 = $true) & (setunionE = $true) & (in__Cong = $true) & (kfstsingleton = $true) & (upairset2IR = $true) & (exuI1 = $true) & (powersetE1 = $true) & (exu__Cong = $true) & (app = $true) & (setminusILneg = $true) & (eta1 = $true) & (dsetconstrEL = $true) & (setoftrueEq = $true) & (powersetI = $true) & (powersetI1 = $true) & (setadjoin__Cong = $true) & (quantDeMorgan4 = $true) & (omega__Cong = $true) & (brelnall1 = $true) & (setminusSubset1 = $true) & (binintersectSubset5 = $true) & (foundationAx = $true) & (emptyI = $true) & (notequalI2 = $true) & (notsubsetI = $true) & (setukpairinjL2 = $true) & (lamProp = $true) & (omegaSAx = $true) & (eqbreln = $true) & (subsetemptysetimpeq = $true) & (symdiffI2 = $true) & (symdiffE = $true) & (exuE3e = $true) & (setextAx = $true) & (replAx = $true) & (setextsub = $true) & (noeltsimpempty = $true) & (setukpairinjR2 = $true) & (funcext2 = $true) & (symdiffIneg2 = $true) & (setukpairIL = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (powersetE = $true) & (! [X3] : (((in @ X3 @ sK1) != $true) | ($true = (in @ (sK0 @ X3) @ sK2))) & ((lam @ sK1 @ sK2 @ (^[Y0 : $i]: (sK0 @ Y0))) != (lam @ sK1 @ sK2 @ (^[Y0 : $i]: (sK0 @ Y0))))) & (symdiffI1 = $true) & (subset2powerset = $true) & (powersetsubset = $true) & (omega0Ax = $true) & (upairsetIL = $true) & (setukpairinjL1 = $true) & (omegaIndAx = $true) & (funcImageSingleton = $true) & (subsetE = $true) & (binintersectSubset4 = $true) & (setminusELneg = $true) & (subsetI2 = $true) & (binintersectRsub = $true) & (cartprodmempaircEq = $true) & (dsetconstr__Cong = $true) & (setminusI = $true) & (upairequniteq = $true) & (kfstpairEq = $true) & (subsetE2 = $true) & (emptysetimpfalse = $true) & (upairset2E = $true) & (binintersectSubset3 = $true) & (subbreln = $true) & (funcinfuncset = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrSub = $true) & (upairsetIR = $true) & (singletonsswitch = $true) & (cartprodsndin = $true) & (singletonsubset = $true) & (singletoninpowunion = $true) & (notinemptyset = $true) & (subsetTrans = $true) & (setminusERneg = $true) & (exuE1 = $true) & (binintersectER = $true) & (quantDeMorgan1 = $true) & (inPowerset = $true) & (binunionLsub = $true) & (eqinunit = $true) & (cartprodfstin = $true) & (cartprodmempair = $true) & (nonemptyI1 = $true) & (funcextLem = $true) & (setunion__Cong = $true) & (setext = $true) & (emptysetE = $true) & (binintersectEL = $true) & (kpairp = $true) & (dpsetconstrER = $true) & (binintersectI = $true) & (setadjoinE = $true) & (notdexE = $true) & (exuI2 = $true) & (setminusLsub = $true) & (setunionsingleton1 = $true) & (ex1I2 = $true) & (setukpairinjR = $true) & (emptyE1 = $true) & (setminusIRneg = $true) & (setukpairinjR12 = $true) & (funcGraphProp1 = $true) & (powerset__Cong = $true) & (exuEu = $true) & (ex1E1 = $true) & (emptysetAx = $true) & (singletonsuniq = $true) & (setminusER = $true) & (quantDeMorgan3 = $true) & (prop2setI = $true) & (subsetRefl = $true) & (ksndsingleton = $true) & (dsetconstrI = $true) & (ksndpairEq = $true) & (subsetI1 = $true) & (prop2set2propI = $true) & (singletoninpowerset = $true) & (setunionAx = $true) & (exuE2 = $true) & (apProp = $true) & (singletonprop = $true) & (upairinpowunion = $true) & (disjointsetsI1 = $true) & (notinsingleton = $true) & (setadjoinSub = $true) & (binunionE = $true) & (bs114d = $true) & (dpsetconstrI = $true) & (powersetAx = $true) & (brelnall2 = $true) & (binintersectLsub = $true) & (sepSubset = $true) & (secondinupair = $true) & (setminusSubset2 = $true) & (setukpairIR = $true) & (setadjoinAx = $true) & (ex1I = $true) & (emptysetsubset = $true) & (setminusEL = $true) & (notdallE = $true) & (descrp = $true) & (setunionI = $true) & (ap2p = $true) & (beta1 = $true) & (exuE3u = $true) & (upairsetE = $true) & (exuI3 = $true) & (cartprodpairmemER = $true) & (setbeta = $true) & (setadjoinIR = $true) & (setunionsingleton2 = $true) & (vacuousDall = $true) & (cartprodmempair1 = $true) & (setadjoinSub2 = $true) & (funcext = $true) & (inCongP = $true) & (cartprodpairsurjEq = $true) & (setOfPairsIsBReln = $true) & (cartprodpairmemEL = $true) & (infuncsetfunc = $true) & (prop2setE = $true) & (setadjoinOr = $true) & (binunionIL = $true) & (subPowSU = $true) & (lamp = $true) & (binintersectSubset2 = $true) & (ubforcartprodlem2 = $true) & (emptyinunitempty = $true) & (emptyset__Cong = $true) & (funcGraphProp2 = $true) & (wellorderingAx = $true) & (setukpairinjR1 = $true) & (quantDeMorgan2 = $true) & (dpsetconstrEL1 = $true) & (setukpairinjR11 = $true) & (dpsetconstrERa = $true) & (theprop = $true) & (kpairsurjEq = $true)),
0.24/0.51	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f658,f659])).
0.24/0.51	thf(f659,plain,(
0.24/0.51	  ? [X0 : $i > $i,X1,X2] : (! [X3] : (($true != (in @ X3 @ X1)) | ($true = (in @ (X0 @ X3) @ X2))) & ((lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))) != (lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))))) => (! [X3] : (((in @ X3 @ sK1) != $true) | ($true = (in @ (sK0 @ X3) @ sK2))) & ((lam @ sK1 @ sK2 @ (^[Y0 : $i]: (sK0 @ Y0))) != (lam @ sK1 @ sK2 @ (^[Y0 : $i]: (sK0 @ Y0)))))),
0.24/0.51	  introduced(choice_axiom,[])).
0.24/0.51	thf(f658,plain,(
0.24/0.51	  (ap2apEq2 = $true) & (binunionEcases = $true) & (binintersectSubset1 = $true) & (funcGraphProp4 = $true) & (kpairiskpair = $true) & (cartprodsndpairEq = $true) & (upairsubunion = $true) & (descr__Cong = $true) & (sepInPowerset = $true) & (funcGraphProp3 = $true) & (binunionIR = $true) & (eqimpsubset2 = $true) & (ubforcartprodlem1 = $true) & (cartprodpairin = $true) & (ex1E2 = $true) & (emptyInPowerset = $true) & (setunionsingleton = $true) & (lam2p = $true) & (symdiffIneg1 = $true) & (eqimpsubset1 = $true) & (notequalI1 = $true) & (emptyinPowerset = $true) & (ubforcartprodlem3 = $true) & (setadjoinIL = $true) & (setukpairinjL = $true) & (cartprodfstpairEq = $true) & (binunionRsub = $true) & (nonemptyImpWitness = $true) & (dsetconstrER = $true) & (setunionE2 = $true) & (uniqinunit = $true) & (ap2apEq1 = $true) & (setunionE = $true) & (in__Cong = $true) & (kfstsingleton = $true) & (upairset2IR = $true) & (exuI1 = $true) & (powersetE1 = $true) & (exu__Cong = $true) & (app = $true) & (setminusILneg = $true) & (eta1 = $true) & (dsetconstrEL = $true) & (setoftrueEq = $true) & (powersetI = $true) & (powersetI1 = $true) & (setadjoin__Cong = $true) & (quantDeMorgan4 = $true) & (omega__Cong = $true) & (brelnall1 = $true) & (setminusSubset1 = $true) & (binintersectSubset5 = $true) & (foundationAx = $true) & (emptyI = $true) & (notequalI2 = $true) & (notsubsetI = $true) & (setukpairinjL2 = $true) & (lamProp = $true) & (omegaSAx = $true) & (eqbreln = $true) & (subsetemptysetimpeq = $true) & (symdiffI2 = $true) & (symdiffE = $true) & (exuE3e = $true) & (setextAx = $true) & (replAx = $true) & (setextsub = $true) & (noeltsimpempty = $true) & (setukpairinjR2 = $true) & (funcext2 = $true) & (symdiffIneg2 = $true) & (setukpairIL = $true) & (nonemptyI = $true) & (nonemptyE1 = $true) & (powersetE = $true) & ? [X0 : $i > $i,X1,X2] : (! [X3] : (($true != (in @ X3 @ X1)) | ($true = (in @ (X0 @ X3) @ X2))) & ((lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))) != (lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))))) & (symdiffI1 = $true) & (subset2powerset = $true) & (powersetsubset = $true) & (omega0Ax = $true) & (upairsetIL = $true) & (setukpairinjL1 = $true) & (omegaIndAx = $true) & (funcImageSingleton = $true) & (subsetE = $true) & (binintersectSubset4 = $true) & (setminusELneg = $true) & (subsetI2 = $true) & (binintersectRsub = $true) & (cartprodmempaircEq = $true) & (dsetconstr__Cong = $true) & (setminusI = $true) & (upairequniteq = $true) & (kfstpairEq = $true) & (subsetE2 = $true) & (emptysetimpfalse = $true) & (upairset2E = $true) & (binintersectSubset3 = $true) & (subbreln = $true) & (funcinfuncset = $true) & (dpsetconstrEL2 = $true) & (dpsetconstrSub = $true) & (upairsetIR = $true) & (singletonsswitch = $true) & (cartprodsndin = $true) & (singletonsubset = $true) & (singletoninpowunion = $true) & (notinemptyset = $true) & (subsetTrans = $true) & (setminusERneg = $true) & (exuE1 = $true) & (binintersectER = $true) & (quantDeMorgan1 = $true) & (inPowerset = $true) & (binunionLsub = $true) & (eqinunit = $true) & (cartprodfstin = $true) & (cartprodmempair = $true) & (nonemptyI1 = $true) & (funcextLem = $true) & (setunion__Cong = $true) & (setext = $true) & (emptysetE = $true) & (binintersectEL = $true) & (kpairp = $true) & (dpsetconstrER = $true) & (binintersectI = $true) & (setadjoinE = $true) & (notdexE = $true) & (exuI2 = $true) & (setminusLsub = $true) & (setunionsingleton1 = $true) & (ex1I2 = $true) & (setukpairinjR = $true) & (emptyE1 = $true) & (setminusIRneg = $true) & (setukpairinjR12 = $true) & (funcGraphProp1 = $true) & (powerset__Cong = $true) & (exuEu = $true) & (ex1E1 = $true) & (emptysetAx = $true) & (singletonsuniq = $true) & (setminusER = $true) & (quantDeMorgan3 = $true) & (prop2setI = $true) & (subsetRefl = $true) & (ksndsingleton = $true) & (dsetconstrI = $true) & (ksndpairEq = $true) & (subsetI1 = $true) & (prop2set2propI = $true) & (singletoninpowerset = $true) & (setunionAx = $true) & (exuE2 = $true) & (apProp = $true) & (singletonprop = $true) & (upairinpowunion = $true) & (disjointsetsI1 = $true) & (notinsingleton = $true) & (setadjoinSub = $true) & (binunionE = $true) & (bs114d = $true) & (dpsetconstrI = $true) & (powersetAx = $true) & (brelnall2 = $true) & (binintersectLsub = $true) & (sepSubset = $true) & (secondinupair = $true) & (setminusSubset2 = $true) & (setukpairIR = $true) & (setadjoinAx = $true) & (ex1I = $true) & (emptysetsubset = $true) & (setminusEL = $true) & (notdallE = $true) & (descrp = $true) & (setunionI = $true) & (ap2p = $true) & (beta1 = $true) & (exuE3u = $true) & (upairsetE = $true) & (exuI3 = $true) & (cartprodpairmemER = $true) & (setbeta = $true) & (setadjoinIR = $true) & (setunionsingleton2 = $true) & (vacuousDall = $true) & (cartprodmempair1 = $true) & (setadjoinSub2 = $true) & (funcext = $true) & (inCongP = $true) & (cartprodpairsurjEq = $true) & (setOfPairsIsBReln = $true) & (cartprodpairmemEL = $true) & (infuncsetfunc = $true) & (prop2setE = $true) & (setadjoinOr = $true) & (binunionIL = $true) & (subPowSU = $true) & (lamp = $true) & (binintersectSubset2 = $true) & (ubforcartprodlem2 = $true) & (emptyinunitempty = $true) & (emptyset__Cong = $true) & (funcGraphProp2 = $true) & (wellorderingAx = $true) & (setukpairinjR1 = $true) & (quantDeMorgan2 = $true) & (dpsetconstrEL1 = $true) & (setukpairinjR11 = $true) & (dpsetconstrERa = $true) & (theprop = $true) & (kpairsurjEq = $true)),
0.24/0.51	  inference(flattening,[],[f657])).
0.24/0.51	thf(f657,plain,(
0.24/0.51	  ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0 : $i > $i,X1,X2] : (! [X3] : (($true != (in @ X3 @ X1)) | ($true = (in @ (X0 @ X3) @ X2))) & ((lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))) != (lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))))) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
0.24/0.51	  inference(ennf_transformation,[],[f240])).
0.24/0.51	thf(f240,plain,(
0.24/0.51	  ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ! [X0 : $i > $i,X1,X2] : (! [X3] : (($true = (in @ X3 @ X1)) => ($true = (in @ (X0 @ X3) @ X2))) => ((lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))) = (lam @ X1 @ X2 @ (^[Y0 : $i]: (X0 @ Y0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
0.24/0.51	  inference(fool_elimination,[],[f239])).
0.24/0.51	thf(f239,plain,(
0.24/0.51	  ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => ! [X0 : $i > $i,X1,X2] : (! [X3] : ((in @ X3 @ X1) => (in @ (X0 @ X3) @ X2)) => ((lam @ X1 @ X2 @ (^[X4 : $i] : (X0 @ X4))) = (lam @ X1 @ X2 @ (^[X5 : $i] : (X0 @ X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
0.24/0.51	  inference(rectify,[],[f221])).
0.24/0.51	thf(f221,negated_conjecture,(
0.24/0.51	  ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => ! [X12 : $i > $i,X3,X4] : (! [X1] : ((in @ X1 @ X3) => (in @ (X12 @ X1) @ X4)) => ((lam @ X3 @ X4 @ (^[X1 : $i] : (X12 @ X1))) = (lam @ X3 @ X4 @ (^[X1 : $i] : (X12 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
0.24/0.51	  inference(negated_conjecture,[],[f220])).
0.24/0.51	thf(f220,conjecture,(
0.24/0.51	  setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => ! [X12 : $i > $i,X3,X4] : (! [X1] : ((in @ X1 @ X3) => (in @ (X12 @ X1) @ X4)) => ((lam @ X3 @ X4 @ (^[X1 : $i] : (X12 @ X1))) = (lam @ X3 @ X4 @ (^[X1 : $i] : (X12 @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
0.24/0.51	  file('/export/starexec/sandbox2/tmp/tmp.HNnWGvDisw/Vampire---4.8_18295',lam2lamEq)).
0.24/0.51	% SZS output end Proof for Vampire---4
0.24/0.51	% (18406)------------------------------
0.24/0.51	% (18406)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.24/0.51	% (18406)Termination reason: Refutation
0.24/0.51	
0.24/0.51	% (18406)Memory used [KB]: 7291
0.24/0.51	% (18406)Time elapsed: 0.082 s
0.24/0.51	% (18406)Instructions burned: 155 (million)
0.24/0.51	% (18406)------------------------------
0.24/0.51	% (18406)------------------------------
0.24/0.51	% (18402)Success in time 0.105 s
0.24/0.51	% Vampire---4.8 exiting
0.24/0.51	EOF