TSTP Solution File: NUM534+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:44:55 EDT 2023
% Result : Theorem 1.00s 1.38s
% Output : Proof 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 17:27:36 EDT 2023
% 0.12/0.34 % CPUTime :
% 1.00/1.38
% 1.00/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.00/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/1.38 %-----------------------------------------------------
% 1.00/1.38 ncf(matrix, plain, [(438 ^ _59737) ^ [] : [-(aSet0(sdtmndt0(xS, xx)))], (440 ^ _59737) ^ [_73554] : [aElementOf0(_73554, sdtmndt0(xS, xx)), 443 ^ _59737 : [(444 ^ _59737) ^ [] : [-(aElement0(_73554))], (446 ^ _59737) ^ [] : [-(aElementOf0(_73554, xS))], (448 ^ _59737) ^ [] : [_73554 = xx]]], (450 ^ _59737) ^ [_73854] : [-(aElementOf0(_73854, sdtmndt0(xS, xx))), aElement0(_73854), aElementOf0(_73854, xS), -(_73854 = xx)], (490 ^ _59737) ^ [] : [sdtpldt0(sdtmndt0(xS, xx), xx) = xS], (464 ^ _59737) ^ [] : [-(aSet0(sdtpldt0(sdtmndt0(xS, xx), xx)))], (466 ^ _59737) ^ [_74301] : [aElementOf0(_74301, sdtpldt0(sdtmndt0(xS, xx), xx)), 469 ^ _59737 : [(470 ^ _59737) ^ [] : [-(aElement0(_74301))], (472 ^ _59737) ^ [] : [-(aElementOf0(_74301, sdtmndt0(xS, xx))), -(_74301 = xx)]]], (478 ^ _59737) ^ [_74614] : [-(aElementOf0(_74614, sdtpldt0(sdtmndt0(xS, xx), xx))), aElement0(_74614), 483 ^ _59737 : [(484 ^ _59737) ^ [] : [aElementOf0(_74614, sdtmndt0(xS, xx))], (486 ^ _59737) ^ [] : [_74614 = xx]]], (88 ^ _59737) ^ [_62597, _62599, _62601, _62603] : [-(sdtpldt0(_62603, _62599) = sdtpldt0(_62601, _62597)), _62603 = _62601, _62599 = _62597], (98 ^ _59737) ^ [_62936, _62938, _62940, _62942] : [-(sdtmndt0(_62942, _62938) = sdtmndt0(_62940, _62936)), _62942 = _62940, _62938 = _62936], (2 ^ _59737) ^ [_59881] : [-(_59881 = _59881)], (4 ^ _59737) ^ [_59988, _59990] : [_59990 = _59988, -(_59988 = _59990)], (10 ^ _59737) ^ [_60192, _60194, _60196] : [-(_60196 = _60192), _60196 = _60194, _60194 = _60192], (20 ^ _59737) ^ [_60505, _60507] : [-(isCountable0(_60505)), _60507 = _60505, isCountable0(_60507)], (30 ^ _59737) ^ [_60800, _60802] : [-(isFinite0(_60800)), _60802 = _60800, isFinite0(_60802)], (40 ^ _59737) ^ [_61123, _61125, _61127, _61129] : [-(aSubsetOf0(_61127, _61123)), aSubsetOf0(_61129, _61125), _61129 = _61127, _61125 = _61123], (54 ^ _59737) ^ [_61539, _61541] : [-(aSet0(_61539)), _61541 = _61539, aSet0(_61541)], (64 ^ _59737) ^ [_61834, _61836] : [-(aElement0(_61834)), _61836 = _61834, aElement0(_61836)], (74 ^ _59737) ^ [_62137, _62139, _62141, _62143] : [-(aElementOf0(_62141, _62137)), aElementOf0(_62143, _62139), _62143 = _62141, _62139 = _62137], (108 ^ _59737) ^ [_63259] : [aSet0(_63259), true___, -(true___)], (118 ^ _59737) ^ [_63514] : [aElement0(_63514), true___, -(true___)], (128 ^ _59737) ^ [_63769] : [aSet0(_63769), 131 ^ _59737 : [(132 ^ _59737) ^ [_63899] : [aElementOf0(_63899, _63769), -(aElement0(_63899))]]], (138 ^ _59737) ^ [_64100] : [aSet0(_64100), isFinite0(_64100), true___, -(true___)], (152 ^ _59737) ^ [_64470] : [_64470 = slcrc0, 155 ^ _59737 : [(156 ^ _59737) ^ [] : [-(aSet0(_64470))], (158 ^ _59737) ^ [_64651] : [aElementOf0(_64651, _64470)]]], (160 ^ _59737) ^ [_64719] : [-(_64719 = slcrc0), aSet0(_64719), -(aElementOf0(165 ^ [_64719], _64719))], (171 ^ _59737) ^ [] : [-(isFinite0(slcrc0))], (173 ^ _59737) ^ [_65101] : [aSet0(_65101), isCountable0(_65101), true___, -(true___)], (187 ^ _59737) ^ [_65442] : [isFinite0(_65442), aSet0(_65442), isCountable0(_65442)], (197 ^ _59737) ^ [_65712] : [_65712 = slcrc0, aSet0(_65712), isCountable0(_65712)], (207 ^ _59737) ^ [_65984] : [aSet0(_65984), 210 ^ _59737 : [(211 ^ _59737) ^ [_66160] : [aSubsetOf0(_66160, _65984), 214 ^ _59737 : [(215 ^ _59737) ^ [] : [-(aSet0(_66160))], (217 ^ _59737) ^ [_66369] : [aElementOf0(_66369, _66160), -(aElementOf0(_66369, _65984))]]], (223 ^ _59737) ^ [_66548] : [-(aSubsetOf0(_66548, _65984)), aSet0(_66548), 229 ^ _59737 : [(230 ^ _59737) ^ [] : [-(aElementOf0(228 ^ [_65984, _66548], _66548))], (232 ^ _59737) ^ [] : [aElementOf0(228 ^ [_65984, _66548], _65984)]]]]], (236 ^ _59737) ^ [_66985] : [aSet0(_66985), isFinite0(_66985), 243 ^ _59737 : [(244 ^ _59737) ^ [_67198] : [aSubsetOf0(_67198, _66985), -(isFinite0(_67198))]]], (250 ^ _59737) ^ [_67401] : [aSet0(_67401), -(aSubsetOf0(_67401, _67401))], (256 ^ _59737) ^ [_67603, _67605] : [aSet0(_67605), aSet0(_67603), -(_67605 = _67603), aSubsetOf0(_67605, _67603), aSubsetOf0(_67603, _67605)], (274 ^ _59737) ^ [_68092, _68094, _68096] : [aSet0(_68096), aSet0(_68094), aSet0(_68092), -(aSubsetOf0(_68096, _68092)), aSubsetOf0(_68096, _68094), aSubsetOf0(_68094, _68092)], (434 ^ _59737) ^ [] : [-(aSet0(xS))], (436 ^ _59737) ^ [] : [-(aElementOf0(xx, xS))], (365 ^ _59737) ^ [_70976, _70978] : [aSet0(_70978), aElement0(_70976), 372 ^ _59737 : [(403 ^ _59737) ^ [_72244] : [-(_72244 = sdtmndt0(_70978, _70976)), aSet0(_72244), 423 ^ _59737 : [(424 ^ _59737) ^ [] : [-(aElement0(408 ^ [_70976, _70978, _72244]))], (426 ^ _59737) ^ [] : [-(aElementOf0(408 ^ [_70976, _70978, _72244], _70978))], (428 ^ _59737) ^ [] : [408 ^ [_70976, _70978, _72244] = _70976], (430 ^ _59737) ^ [] : [aElementOf0(408 ^ [_70976, _70978, _72244], _72244)]], 411 ^ _59737 : [(412 ^ _59737) ^ [] : [-(aElementOf0(408 ^ [_70976, _70978, _72244], _72244))], (414 ^ _59737) ^ [] : [aElement0(408 ^ [_70976, _70978, _72244]), aElementOf0(408 ^ [_70976, _70978, _72244], _70978), -(408 ^ [_70976, _70978, _72244] = _70976)]]], (373 ^ _59737) ^ [_71259] : [_71259 = sdtmndt0(_70978, _70976), 376 ^ _59737 : [(377 ^ _59737) ^ [] : [-(aSet0(_71259))], (379 ^ _59737) ^ [_71524] : [aElementOf0(_71524, _71259), 382 ^ _59737 : [(383 ^ _59737) ^ [] : [-(aElement0(_71524))], (385 ^ _59737) ^ [] : [-(aElementOf0(_71524, _70978))], (387 ^ _59737) ^ [] : [_71524 = _70976]]], (389 ^ _59737) ^ [_71860] : [-(aElementOf0(_71860, _71259)), aElement0(_71860), aElementOf0(_71860, _70978), -(_71860 = _70976)]]]]], (296 ^ _59737) ^ [_68678, _68680] : [aSet0(_68680), aElement0(_68678), 303 ^ _59737 : [(334 ^ _59737) ^ [_69939] : [-(_69939 = sdtpldt0(_68680, _68678)), aSet0(_69939), 342 ^ _59737 : [(343 ^ _59737) ^ [] : [-(aElementOf0(339 ^ [_68678, _68680, _69939], _69939))], (345 ^ _59737) ^ [] : [aElement0(339 ^ [_68678, _68680, _69939]), 348 ^ _59737 : [(349 ^ _59737) ^ [] : [aElementOf0(339 ^ [_68678, _68680, _69939], _68680)], (351 ^ _59737) ^ [] : [339 ^ [_68678, _68680, _69939] = _68678]]]], 352 ^ _59737 : [(361 ^ _59737) ^ [] : [aElementOf0(339 ^ [_68678, _68680, _69939], _69939)], (353 ^ _59737) ^ [] : [-(aElement0(339 ^ [_68678, _68680, _69939]))], (355 ^ _59737) ^ [] : [-(aElementOf0(339 ^ [_68678, _68680, _69939], _68680)), -(339 ^ [_68678, _68680, _69939] = _68678)]]], (304 ^ _59737) ^ [_68959] : [_68959 = sdtpldt0(_68680, _68678), 307 ^ _59737 : [(308 ^ _59737) ^ [] : [-(aSet0(_68959))], (310 ^ _59737) ^ [_69222] : [aElementOf0(_69222, _68959), 313 ^ _59737 : [(314 ^ _59737) ^ [] : [-(aElement0(_69222))], (316 ^ _59737) ^ [] : [-(aElementOf0(_69222, _68680)), -(_69222 = _68678)]]], (322 ^ _59737) ^ [_69577] : [-(aElementOf0(_69577, _68959)), aElement0(_69577), 327 ^ _59737 : [(328 ^ _59737) ^ [] : [aElementOf0(_69577, _68680)], (330 ^ _59737) ^ [] : [_69577 = _68678]]]]]]]], input).
% 1.00/1.38 ncf('1',plain,[aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx)), 448 : 339 ^ [xx, sdtmndt0(xS, xx), xS] = xx],start(440 ^ 0,bind([[_73554], [339 ^ [xx, sdtmndt0(xS, xx), xS]]]))).
% 1.00/1.38 ncf('1.1',plain,[-(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), 472 : -(339 ^ [xx, sdtmndt0(xS, xx), xS] = xx), 472 : aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtpldt0(sdtmndt0(xS, xx), xx))],extension(466 ^ 1,bind([[_74301], [339 ^ [xx, sdtmndt0(xS, xx), xS]]]))).
% 1.00/1.38 ncf('1.1.1',plain,[339 ^ [xx, sdtmndt0(xS, xx), xS] = xx, 345 : aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS]), 345 : -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), 345 : aSet0(xS), 361 : aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], xS), 334 : aSet0(sdtmndt0(xS, xx)), 334 : aElement0(xx)],extension(296 ^ 4,bind([[_68678, _68680, _69939], [xx, sdtmndt0(xS, xx), xS]]))).
% 1.00/1.38 ncf('1.1.1.1',plain,[-(aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS]))],extension(470 ^ 9)).
% 1.00/1.38 ncf('1.1.1.2',plain,[xS = sdtpldt0(sdtmndt0(xS, xx), xx), -(sdtpldt0(sdtmndt0(xS, xx), xx) = xS)],extension(4 ^ 7,bind([[_59988, _59990], [sdtpldt0(sdtmndt0(xS, xx), xx), xS]]))).
% 1.00/1.38 ncf('1.1.1.2.1',plain,[sdtpldt0(sdtmndt0(xS, xx), xx) = xS],extension(490 ^ 8)).
% 1.00/1.38 ncf('1.1.1.3',plain,[-(aSet0(xS))],extension(434 ^ 7)).
% 1.00/1.38 ncf('1.1.1.4',plain,[-(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], xS)), aElementOf0(xx, xS), xx = 339 ^ [xx, sdtmndt0(xS, xx), xS], xS = xS],extension(74 ^ 9,bind([[_62137, _62139, _62141, _62143], [xS, xS, 339 ^ [xx, sdtmndt0(xS, xx), xS], xx]]))).
% 1.00/1.38 ncf('1.1.1.4.1',plain,[-(aElementOf0(xx, xS))],extension(436 ^ 10)).
% 1.00/1.38 ncf('1.1.1.4.2',plain,[-(xx = 339 ^ [xx, sdtmndt0(xS, xx), xS]), 339 ^ [xx, sdtmndt0(xS, xx), xS] = xx],extension(4 ^ 10,bind([[_59988, _59990], [xx, 339 ^ [xx, sdtmndt0(xS, xx), xS]]]))).
% 1.00/1.38 ncf('1.1.1.4.2.1',plain,[-(339 ^ [xx, sdtmndt0(xS, xx), xS] = xx)],reduction('1.1')).
% 1.00/1.38 ncf('1.1.1.4.3',plain,[-(xS = xS)],extension(2 ^ 10,bind([[_59881], [xS]]))).
% 1.00/1.38 ncf('1.1.1.5',plain,[-(aSet0(sdtmndt0(xS, xx)))],extension(438 ^ 5)).
% 1.00/1.38 ncf('1.1.1.6',plain,[-(aElement0(xx)), 339 ^ [xx, sdtmndt0(xS, xx), xS] = xx, aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS])],extension(64 ^ 5,bind([[_61834, _61836], [xx, 339 ^ [xx, sdtmndt0(xS, xx), xS]]]))).
% 1.00/1.38 ncf('1.1.1.6.1',plain,[-(339 ^ [xx, sdtmndt0(xS, xx), xS] = xx)],reduction('1.1')).
% 1.00/1.39 ncf('1.1.1.6.2',plain,[-(aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS]))],extension(470 ^ 6)).
% 1.00/1.39 ncf('1.1.2',plain,[-(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtpldt0(sdtmndt0(xS, xx), xx))), aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS]), 486 : 339 ^ [xx, sdtmndt0(xS, xx), xS] = xx],extension(478 ^ 2,bind([[_74614], [339 ^ [xx, sdtmndt0(xS, xx), xS]]]))).
% 1.00/1.39 ncf('1.1.2.1',plain,[-(aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS])), 334 : -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), 334 : aSet0(xS), 343 : -(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], xS)), 334 : aSet0(sdtmndt0(xS, xx)), 334 : aElement0(xx)],extension(296 ^ 3,bind([[_68678, _68680, _69939], [xx, sdtmndt0(xS, xx), xS]]))).
% 1.00/1.39 ncf('1.1.2.1.1',plain,[xS = sdtpldt0(sdtmndt0(xS, xx), xx), -(sdtpldt0(sdtmndt0(xS, xx), xx) = xS)],extension(4 ^ 6,bind([[_59988, _59990], [sdtpldt0(sdtmndt0(xS, xx), xx), xS]]))).
% 1.00/1.39 ncf('1.1.2.1.1.1',plain,[sdtpldt0(sdtmndt0(xS, xx), xx) = xS],extension(490 ^ 7)).
% 1.00/1.39 ncf('1.1.2.1.2',plain,[-(aSet0(xS))],extension(434 ^ 6)).
% 1.00/1.39 ncf('1.1.2.1.3',plain,[aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], xS), 132 : -(aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS])), 132 : aSet0(xS)],extension(128 ^ 8,bind([[_63769, _63899], [xS, 339 ^ [xx, sdtmndt0(xS, xx), xS]]]))).
% 1.00/1.39 ncf('1.1.2.1.3.1',plain,[aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS])],reduction('1.1.2')).
% 1.00/1.39 ncf('1.1.2.1.3.2',plain,[-(aSet0(xS))],lemmata('[2, 1, 1].x')).
% 1.00/1.39 ncf('1.1.2.1.4',plain,[-(aSet0(sdtmndt0(xS, xx)))],extension(438 ^ 4)).
% 1.00/1.39 ncf('1.1.2.1.5',plain,[-(aElement0(xx)), 132 : aElementOf0(xx, xS), 132 : aSet0(xS)],extension(128 ^ 4,bind([[_63769, _63899], [xS, xx]]))).
% 1.00/1.39 ncf('1.1.2.1.5.1',plain,[-(aElementOf0(xx, xS))],extension(436 ^ 7)).
% 1.00/1.39 ncf('1.1.2.1.5.2',plain,[-(aSet0(xS))],extension(434 ^ 5)).
% 1.00/1.39 ncf('1.1.2.2',plain,[-(339 ^ [xx, sdtmndt0(xS, xx), xS] = xx), 355 : -(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), 355 : -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), 355 : aSet0(xS), 343 : -(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], xS)), 334 : aSet0(sdtmndt0(xS, xx)), 334 : aElement0(xx)],extension(296 ^ 5,bind([[_68678, _68680, _69939], [xx, sdtmndt0(xS, xx), xS]]))).
% 1.00/1.39 ncf('1.1.2.2.1',plain,[aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))],reduction('1')).
% 1.00/1.39 ncf('1.1.2.2.2',plain,[xS = sdtpldt0(sdtmndt0(xS, xx), xx), -(sdtpldt0(sdtmndt0(xS, xx), xx) = xS)],extension(4 ^ 8,bind([[_59988, _59990], [sdtpldt0(sdtmndt0(xS, xx), xx), xS]]))).
% 1.00/1.39 ncf('1.1.2.2.2.1',plain,[sdtpldt0(sdtmndt0(xS, xx), xx) = xS],extension(490 ^ 9)).
% 1.00/1.39 ncf('1.1.2.2.3',plain,[-(aSet0(xS))],extension(434 ^ 8)).
% 1.00/1.39 ncf('1.1.2.2.4',plain,[aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], xS), -(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS]), -(339 ^ [xx, sdtmndt0(xS, xx), xS] = xx)],extension(450 ^ 10,bind([[_73854], [339 ^ [xx, sdtmndt0(xS, xx), xS]]]))).
% 1.00/1.39 ncf('1.1.2.2.4.1',plain,[aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))],reduction('1')).
% 1.00/1.39 ncf('1.1.2.2.4.2',plain,[-(aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS]))],lemmata('[1, 1].x')).
% 1.00/1.39 ncf('1.1.2.2.4.3',plain,[339 ^ [xx, sdtmndt0(xS, xx), xS] = xx],reduction('1.1.2')).
% 1.00/1.39 ncf('1.1.2.2.5',plain,[-(aSet0(sdtmndt0(xS, xx)))],extension(438 ^ 6)).
% 1.00/1.39 ncf('1.1.2.2.6',plain,[-(aElement0(xx)), 132 : aElementOf0(xx, xS), 132 : aSet0(xS)],extension(128 ^ 6,bind([[_63769, _63899], [xS, xx]]))).
% 1.00/1.39 ncf('1.1.2.2.6.1',plain,[-(aElementOf0(xx, xS))],extension(436 ^ 9)).
% 1.00/1.39 ncf('1.1.2.2.6.2',plain,[-(aSet0(xS))],extension(434 ^ 7)).
% 1.00/1.39 ncf('1.2',plain,[-(339 ^ [xx, sdtmndt0(xS, xx), xS] = xx), -(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx))), aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS]), aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], xS)],extension(450 ^ 3,bind([[_73854], [339 ^ [xx, sdtmndt0(xS, xx), xS]]]))).
% 1.00/1.39 ncf('1.2.1',plain,[aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx)), 132 : -(aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS])), 132 : aSet0(sdtmndt0(xS, xx))],extension(128 ^ 4,bind([[_63769, _63899], [sdtmndt0(xS, xx), 339 ^ [xx, sdtmndt0(xS, xx), xS]]]))).
% 1.00/1.39 ncf('1.2.1.1',plain,[aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS]), 349 : aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx)), 345 : -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), 345 : aSet0(xS), 361 : aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], xS), 334 : aSet0(sdtmndt0(xS, xx)), 334 : aElement0(xx)],extension(296 ^ 7,bind([[_68678, _68680, _69939], [xx, sdtmndt0(xS, xx), xS]]))).
% 1.00/1.39 ncf('1.2.1.1.1',plain,[-(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], sdtmndt0(xS, xx)))],lemmata('x')).
% 1.00/1.39 ncf('1.2.1.1.2',plain,[xS = sdtpldt0(sdtmndt0(xS, xx), xx), -(sdtpldt0(sdtmndt0(xS, xx), xx) = xS)],extension(4 ^ 10,bind([[_59988, _59990], [sdtpldt0(sdtmndt0(xS, xx), xx), xS]]))).
% 1.00/1.39 ncf('1.2.1.1.2.1',plain,[sdtpldt0(sdtmndt0(xS, xx), xx) = xS],extension(490 ^ 11)).
% 1.00/1.39 ncf('1.2.1.1.3',plain,[-(aSet0(xS))],extension(434 ^ 10)).
% 1.00/1.39 ncf('1.2.1.1.4',plain,[-(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], xS))],extension(446 ^ 12)).
% 1.00/1.39 ncf('1.2.1.1.5',plain,[-(aSet0(sdtmndt0(xS, xx)))],extension(438 ^ 8)).
% 1.00/1.39 ncf('1.2.1.1.6',plain,[-(aElement0(xx)), 132 : aElementOf0(xx, xS), 132 : aSet0(xS)],extension(128 ^ 8,bind([[_63769, _63899], [xS, xx]]))).
% 1.00/1.39 ncf('1.2.1.1.6.1',plain,[-(aElementOf0(xx, xS))],extension(436 ^ 11)).
% 1.00/1.39 ncf('1.2.1.1.6.2',plain,[-(aSet0(xS))],extension(434 ^ 9)).
% 1.00/1.39 ncf('1.2.1.2',plain,[-(aSet0(sdtmndt0(xS, xx)))],extension(438 ^ 5)).
% 1.00/1.39 ncf('1.2.2',plain,[-(aElement0(339 ^ [xx, sdtmndt0(xS, xx), xS]))],extension(444 ^ 4)).
% 1.00/1.39 ncf('1.2.3',plain,[-(aElementOf0(339 ^ [xx, sdtmndt0(xS, xx), xS], xS))],extension(446 ^ 4)).
% 1.00/1.39 %-----------------------------------------------------
% 1.00/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------