TSTP Solution File: RNG074+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG074+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 11:49:45 EDT 2023
% Result : Theorem 0.54s 1.39s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG074+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 20:19:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.54/1.39
% 0.54/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.54/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/1.39 %-----------------------------------------------------
% 0.54/1.39 ncf(matrix, plain, [(786 ^ _114653) ^ [] : [false___, -(false___)], (78 ^ _114653) ^ [_117188, _117190] : [_117190 = _117188, -(smndt0(_117190) = smndt0(_117188))], (84 ^ _114653) ^ [_117406, _117408] : [_117408 = _117406, -(szszuzczcdt0(_117408) = szszuzczcdt0(_117406))], (90 ^ _114653) ^ [_117624, _117626] : [_117626 = _117624, -(sziznziztdt0(_117626) = sziznziztdt0(_117624))], (96 ^ _114653) ^ [_117870, _117872, _117874, _117876] : [-(sdtlbdtrb0(_117876, _117872) = sdtlbdtrb0(_117874, _117870)), _117876 = _117874, _117872 = _117870], (106 ^ _114653) ^ [_118201, _118203] : [_118203 = _118201, -(aDimensionOf0(_118203) = aDimensionOf0(_118201))], (112 ^ _114653) ^ [_118447, _118449, _118451, _118453] : [-(sdtasasdt0(_118453, _118449) = sdtasasdt0(_118451, _118447)), _118453 = _118451, _118449 = _118447], (122 ^ _114653) ^ [_118806, _118808, _118810, _118812] : [-(sdtasdt0(_118812, _118808) = sdtasdt0(_118810, _118806)), _118812 = _118810, _118808 = _118806], (132 ^ _114653) ^ [_119145, _119147, _119149, _119151] : [-(sdtpldt0(_119151, _119147) = sdtpldt0(_119149, _119145)), _119151 = _119149, _119147 = _119145], (2 ^ _114653) ^ [_114797] : [-(_114797 = _114797)], (4 ^ _114653) ^ [_114904, _114906] : [_114906 = _114904, -(_114904 = _114906)], (10 ^ _114653) ^ [_115108, _115110, _115112] : [-(_115112 = _115108), _115112 = _115110, _115110 = _115108], (20 ^ _114653) ^ [_115449, _115451, _115453, _115455] : [-(iLess0(_115453, _115449)), iLess0(_115455, _115451), _115455 = _115453, _115451 = _115449], (34 ^ _114653) ^ [_115865, _115867] : [-(aVector0(_115865)), _115867 = _115865, aVector0(_115867)], (44 ^ _114653) ^ [_116160, _116162] : [-(aNaturalNumber0(_116160)), _116162 = _116160, aNaturalNumber0(_116162)], (54 ^ _114653) ^ [_116455, _116457] : [-(aScalar0(_116455)), _116457 = _116455, aScalar0(_116457)], (64 ^ _114653) ^ [_116758, _116760, _116762, _116764] : [-(sdtlseqdt0(_116762, _116758)), sdtlseqdt0(_116764, _116760), _116764 = _116762, _116760 = _116758], (142 ^ _114653) ^ [_119492] : [aNaturalNumber0(_119492), true___, -(true___)], (152 ^ _114653) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _114653) ^ [_119800] : [aNaturalNumber0(_119800), 157 ^ _114653 : [(158 ^ _114653) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_119800)))], (160 ^ _114653) ^ [] : [szszuzczcdt0(_119800) = sz00]]], (162 ^ _114653) ^ [_120068] : [170 ^ _114653 : [(171 ^ _114653) ^ [] : [-(aNaturalNumber0(169 ^ [_120068]))], (173 ^ _114653) ^ [] : [-(_120068 = szszuzczcdt0(169 ^ [_120068]))]], aNaturalNumber0(_120068), -(_120068 = sz00)], (175 ^ _114653) ^ [_120496, _120498] : [aNaturalNumber0(_120498), aNaturalNumber0(_120496), szszuzczcdt0(_120498) = szszuzczcdt0(_120496), -(_120498 = _120496)], (189 ^ _114653) ^ [_120890, _120892] : [aNaturalNumber0(_120892), aNaturalNumber0(_120890), iLess0(_120892, _120890), true___, -(true___)], (207 ^ _114653) ^ [_121336] : [aNaturalNumber0(_121336), -(iLess0(_121336, szszuzczcdt0(_121336)))], (213 ^ _114653) ^ [_121528] : [aScalar0(_121528), true___, -(true___)], (223 ^ _114653) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _114653) ^ [_121850, _121852] : [-(aScalar0(sdtpldt0(_121852, _121850))), aScalar0(_121852), aScalar0(_121850)], (235 ^ _114653) ^ [_122149, _122151] : [-(aScalar0(sdtasdt0(_122151, _122149))), aScalar0(_122151), aScalar0(_122149)], (245 ^ _114653) ^ [_122434] : [aScalar0(_122434), -(aScalar0(smndt0(_122434)))], (251 ^ _114653) ^ [_122624] : [aScalar0(_122624), 254 ^ _114653 : [(255 ^ _114653) ^ [] : [-(sdtpldt0(_122624, sz0z00) = _122624)], (257 ^ _114653) ^ [] : [-(sdtpldt0(sz0z00, _122624) = _122624)], (259 ^ _114653) ^ [] : [-(sdtasdt0(_122624, sz0z00) = sz0z00)], (261 ^ _114653) ^ [] : [-(sdtasdt0(sz0z00, _122624) = sz0z00)], (263 ^ _114653) ^ [] : [-(sdtpldt0(_122624, smndt0(_122624)) = sz0z00)], (265 ^ _114653) ^ [] : [-(sdtpldt0(smndt0(_122624), _122624) = sz0z00)], (267 ^ _114653) ^ [] : [-(smndt0(smndt0(_122624)) = _122624)], (269 ^ _114653) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _114653) ^ [_123391, _123393, _123395] : [282 ^ _114653 : [(283 ^ _114653) ^ [] : [-(sdtpldt0(sdtpldt0(_123395, _123393), _123391) = sdtpldt0(_123395, sdtpldt0(_123393, _123391)))], (285 ^ _114653) ^ [] : [-(sdtpldt0(_123395, _123393) = sdtpldt0(_123393, _123395))], (287 ^ _114653) ^ [] : [-(sdtasdt0(sdtasdt0(_123395, _123393), _123391) = sdtasdt0(_123395, sdtasdt0(_123393, _123391)))], (289 ^ _114653) ^ [] : [-(sdtasdt0(_123395, _123393) = sdtasdt0(_123393, _123395))]], aScalar0(_123395), aScalar0(_123393), aScalar0(_123391)], (291 ^ _114653) ^ [_124102, _124104, _124106] : [302 ^ _114653 : [(303 ^ _114653) ^ [] : [-(sdtasdt0(_124106, sdtpldt0(_124104, _124102)) = sdtpldt0(sdtasdt0(_124106, _124104), sdtasdt0(_124106, _124102)))], (305 ^ _114653) ^ [] : [-(sdtasdt0(sdtpldt0(_124106, _124104), _124102) = sdtpldt0(sdtasdt0(_124106, _124102), sdtasdt0(_124104, _124102)))]], aScalar0(_124106), aScalar0(_124104), aScalar0(_124102)], (307 ^ _114653) ^ [_124663, _124665, _124667, _124669] : [-(sdtasdt0(sdtpldt0(_124669, _124667), sdtpldt0(_124665, _124663)) = sdtpldt0(sdtpldt0(sdtasdt0(_124669, _124665), sdtasdt0(_124669, _124663)), sdtpldt0(sdtasdt0(_124667, _124665), sdtasdt0(_124667, _124663)))), aScalar0(_124669), aScalar0(_124667), aScalar0(_124665), aScalar0(_124663)], (325 ^ _114653) ^ [_125228, _125230] : [332 ^ _114653 : [(333 ^ _114653) ^ [] : [-(sdtasdt0(_125230, smndt0(_125228)) = smndt0(sdtasdt0(_125230, _125228)))], (335 ^ _114653) ^ [] : [-(sdtasdt0(smndt0(_125230), _125228) = smndt0(sdtasdt0(_125230, _125228)))]], aScalar0(_125230), aScalar0(_125228)], (337 ^ _114653) ^ [_125638, _125640] : [-(sdtasdt0(smndt0(_125640), smndt0(_125638)) = sdtasdt0(_125640, _125638)), aScalar0(_125640), aScalar0(_125638)], (347 ^ _114653) ^ [_125953, _125955] : [aScalar0(_125955), aScalar0(_125953), sdtlseqdt0(_125955, _125953), true___, -(true___)], (365 ^ _114653) ^ [_126399] : [aScalar0(_126399), -(sdtlseqdt0(_126399, _126399))], (371 ^ _114653) ^ [_126601, _126603] : [aScalar0(_126603), aScalar0(_126601), -(_126603 = _126601), sdtlseqdt0(_126603, _126601), sdtlseqdt0(_126601, _126603)], (389 ^ _114653) ^ [_127090, _127092, _127094] : [aScalar0(_127094), aScalar0(_127092), aScalar0(_127090), -(sdtlseqdt0(_127094, _127090)), sdtlseqdt0(_127094, _127092), sdtlseqdt0(_127092, _127090)], (411 ^ _114653) ^ [_127704, _127706, _127708, _127710] : [-(sdtlseqdt0(sdtpldt0(_127710, _127706), sdtpldt0(_127708, _127704))), sdtlseqdt0(_127710, _127708), sdtlseqdt0(_127706, _127704), aScalar0(_127710), aScalar0(_127708), aScalar0(_127706), aScalar0(_127704)], (437 ^ _114653) ^ [_128447, _128449, _128451, _128453] : [aScalar0(_128453), aScalar0(_128451), aScalar0(_128449), aScalar0(_128447), -(sdtlseqdt0(sdtasdt0(_128453, _128449), sdtasdt0(_128451, _128447))), sdtlseqdt0(_128453, _128451), sdtlseqdt0(sz0z00, _128449), sdtlseqdt0(_128449, _128447)], (467 ^ _114653) ^ [_129261, _129263] : [aScalar0(_129263), aScalar0(_129261), -(sdtlseqdt0(_129263, _129261)), -(sdtlseqdt0(_129261, _129263))], (481 ^ _114653) ^ [_129648, _129650] : [aScalar0(_129650), aScalar0(_129648), 496 ^ _114653 : [(497 ^ _114653) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_129650, _129648)))], (499 ^ _114653) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_129650, _129648)))]], sdtlseqdt0(sz0z00, _129650), sdtlseqdt0(sz0z00, _129648)], (501 ^ _114653) ^ [_130196] : [aScalar0(_130196), -(sdtlseqdt0(sz0z00, sdtasdt0(_130196, _130196)))], (507 ^ _114653) ^ [_130404, _130406] : [aScalar0(_130406), aScalar0(_130404), -(_130406 = _130404), sdtlseqdt0(sz0z00, _130406), sdtlseqdt0(sz0z00, _130404), sdtasdt0(_130406, _130406) = sdtasdt0(_130404, _130404)], (529 ^ _114653) ^ [_130966] : [aVector0(_130966), true___, -(true___)], (539 ^ _114653) ^ [_131221] : [aVector0(_131221), -(aNaturalNumber0(aDimensionOf0(_131221)))], (545 ^ _114653) ^ [_131425, _131427] : [-(aScalar0(sdtlbdtrb0(_131427, _131425))), aVector0(_131427), aNaturalNumber0(_131425)], (555 ^ _114653) ^ [_131710] : [aVector0(_131710), -(aDimensionOf0(_131710) = sz00), 562 ^ _114653 : [(563 ^ _114653) ^ [_131993] : [_131993 = sziznziztdt0(_131710), 566 ^ _114653 : [(567 ^ _114653) ^ [] : [-(aVector0(_131993))], (569 ^ _114653) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_131993)) = aDimensionOf0(_131710))], (571 ^ _114653) ^ [_132295] : [aNaturalNumber0(_132295), -(sdtlbdtrb0(_131993, _132295) = sdtlbdtrb0(_131710, _132295))]]], (577 ^ _114653) ^ [_132486] : [-(_132486 = sziznziztdt0(_131710)), aVector0(_132486), szszuzczcdt0(aDimensionOf0(_132486)) = aDimensionOf0(_131710), 587 ^ _114653 : [(588 ^ _114653) ^ [] : [-(aNaturalNumber0(586 ^ [_131710, _132486]))], (590 ^ _114653) ^ [] : [sdtlbdtrb0(_132486, 586 ^ [_131710, _132486]) = sdtlbdtrb0(_131710, 586 ^ [_131710, _132486])]]]]], (594 ^ _114653) ^ [_133068, _133070] : [aVector0(_133070), aVector0(_133068), -(aDimensionOf0(sziznziztdt0(_133070)) = aDimensionOf0(sziznziztdt0(_133068))), aDimensionOf0(_133070) = aDimensionOf0(_133068), -(aDimensionOf0(_133068) = sz00)], (612 ^ _114653) ^ [_133574, _133576] : [aVector0(_133576), aVector0(_133574), aDimensionOf0(_133576) = aDimensionOf0(_133574), -(aScalar0(sdtasasdt0(_133576, _133574)))], (626 ^ _114653) ^ [_133972, _133974] : [aVector0(_133974), aVector0(_133972), -(sdtasasdt0(_133974, _133972) = sz0z00), aDimensionOf0(_133974) = aDimensionOf0(_133972), aDimensionOf0(_133972) = sz00], (644 ^ _114653) ^ [_134465, _134467] : [aVector0(_134467), aVector0(_134465), -(sdtasasdt0(_134467, _134465) = sdtpldt0(sdtasasdt0(sziznziztdt0(_134467), sziznziztdt0(_134465)), sdtasdt0(sdtlbdtrb0(_134467, aDimensionOf0(_134467)), sdtlbdtrb0(_134465, aDimensionOf0(_134465))))), aDimensionOf0(_134467) = aDimensionOf0(_134465), -(aDimensionOf0(_134465) = sz00)], (662 ^ _114653) ^ [_134993] : [aVector0(_134993), -(sdtlseqdt0(sz0z00, sdtasasdt0(_134993, _134993)))], (668 ^ _114653) ^ [] : [-(aVector0(xs))], (670 ^ _114653) ^ [] : [-(aVector0(xt))], (690 ^ _114653) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _114653) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _114653) ^ [] : [-(aVector0(xp))], (696 ^ _114653) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs))], (704 ^ _114653) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _114653) ^ [_136049] : [aNaturalNumber0(_136049), -(sdtlbdtrb0(xp, _136049) = sdtlbdtrb0(xs, _136049))], (718 ^ _114653) ^ [] : [-(aScalar0(xA))], (720 ^ _114653) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (722 ^ _114653) ^ [] : [-(aScalar0(xB))], (724 ^ _114653) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (726 ^ _114653) ^ [] : [-(aScalar0(xC))], (728 ^ _114653) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (730 ^ _114653) ^ [] : [-(aScalar0(xD))], (732 ^ _114653) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (734 ^ _114653) ^ [] : [-(aScalar0(xE))], (736 ^ _114653) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (738 ^ _114653) ^ [] : [-(aScalar0(xF))], (740 ^ _114653) ^ [] : [-(xF = sdtasdt0(xA, xA))], (742 ^ _114653) ^ [] : [-(aScalar0(xG))], (744 ^ _114653) ^ [] : [-(xG = sdtasdt0(xB, xB))], (746 ^ _114653) ^ [] : [-(aScalar0(xH))], (748 ^ _114653) ^ [] : [-(xH = sdtasdt0(xA, xB))], (750 ^ _114653) ^ [] : [-(aScalar0(xR))], (752 ^ _114653) ^ [] : [-(xR = sdtasdt0(xC, xG))], (754 ^ _114653) ^ [] : [-(aScalar0(xP))], (756 ^ _114653) ^ [] : [-(xP = sdtasdt0(xE, xH))], (758 ^ _114653) ^ [] : [-(aScalar0(xS))], (760 ^ _114653) ^ [] : [-(xS = sdtasdt0(xF, xD))], (762 ^ _114653) ^ [] : [-(aScalar0(xN))], (764 ^ _114653) ^ [] : [-(xN = sdtasdt0(xR, xS))], (766 ^ _114653) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (768 ^ _114653) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (770 ^ _114653) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], (772 ^ _114653) ^ [] : [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))], (774 ^ _114653) ^ [] : [sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))], (776 ^ _114653) ^ [] : [-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))], (778 ^ _114653) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))], (780 ^ _114653) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))], (782 ^ _114653) ^ [] : [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))))], (784 ^ _114653) ^ [] : [-(sdtpldt0(xR, xS) = sdtpldt0(xP, xP))], (706 ^ _114653) ^ [] : [-(aVector0(xq))], (708 ^ _114653) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt))], (716 ^ _114653) ^ [] : [-(xq = sziznziztdt0(xt))], (710 ^ _114653) ^ [_136414] : [aNaturalNumber0(_136414), -(sdtlbdtrb0(xq, _136414) = sdtlbdtrb0(xt, _136414))], (672 ^ _114653) ^ [_135309, _135311] : [aVector0(_135311), aVector0(_135309), aDimensionOf0(_135311) = aDimensionOf0(_135309), iLess0(aDimensionOf0(_135311), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_135311, _135309), sdtasasdt0(_135311, _135309)), sdtasdt0(sdtasasdt0(_135311, _135311), sdtasasdt0(_135309, _135309))))]], input).
% 0.54/1.39 ncf('1',plain,[sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))],start(774 ^ 0)).
% 0.54/1.39 ncf('1.1',plain,[-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xR, xS)), -(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],extension(467 ^ 1,bind([[_129261, _129263], [sdtpldt0(xR, xS), sdtpldt0(xP, xP)]]))).
% 0.54/1.39 ncf('1.1.1',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(225 ^ 2,bind([[_121850, _121852], [xP, xP]]))).
% 0.54/1.39 ncf('1.1.1.1',plain,[-(aScalar0(xP))],extension(754 ^ 3)).
% 0.54/1.39 ncf('1.1.1.2',plain,[-(aScalar0(xP))],lemmata('[1, 1].x')).
% 0.54/1.39 ncf('1.1.2',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(225 ^ 2,bind([[_121850, _121852], [xS, xR]]))).
% 0.54/1.39 ncf('1.1.2.1',plain,[-(aScalar0(xR))],extension(750 ^ 3)).
% 0.54/1.39 ncf('1.1.2.2',plain,[-(aScalar0(xS))],extension(758 ^ 3)).
% 0.54/1.39 ncf('1.1.3',plain,[sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)), -(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))), sdtpldt0(xR, xS) = sdtpldt0(xP, xP), sdtpldt0(xP, xP) = sdtpldt0(xR, xS)],extension(64 ^ 2,bind([[_116758, _116760, _116762, _116764], [sdtpldt0(xR, xS), sdtpldt0(xP, xP), sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.54/1.39 ncf('1.1.3.1',plain,[sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))],reduction('1')).
% 0.54/1.39 ncf('1.1.3.2',plain,[-(sdtpldt0(xR, xS) = sdtpldt0(xP, xP))],extension(784 ^ 3)).
% 0.54/1.39 ncf('1.1.3.3',plain,[-(sdtpldt0(xP, xP) = sdtpldt0(xR, xS)), sdtpldt0(xR, xS) = sdtpldt0(xP, xP)],extension(4 ^ 3,bind([[_114904, _114906], [sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.54/1.39 ncf('1.1.3.3.1',plain,[-(sdtpldt0(xR, xS) = sdtpldt0(xP, xP))],lemmata('[1, 1].x')).
% 0.54/1.39 %-----------------------------------------------------
% 0.54/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------