TSTP Solution File: NUM852+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM852+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 11:45:47 EDT 2023
% Result : Theorem 0.51s 1.38s
% Output : Proof 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : NUM852+2 : TPTP v8.1.2. Released v4.1.0.
% 0.01/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 16:50:47 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.51/1.38
% 0.51/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.51/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/1.38 %-----------------------------------------------------
% 0.51/1.38 ncf(matrix, plain, [(192 ^ _39414) ^ [] : [greater(vmul(vd481, vd469), vmul(vd480, vd469))], (48 ^ _39414) ^ [_41086, _41088, _41090, _41092] : [-(vskolem9(_41092, _41088) = vskolem9(_41090, _41086)), _41092 = _41090, _41088 = _41086], (58 ^ _39414) ^ [_41417, _41419] : [_41419 = _41417, -(vsucc(_41419) = vsucc(_41417))], (64 ^ _39414) ^ [_41663, _41665, _41667, _41669] : [-(vplus(_41669, _41665) = vplus(_41667, _41663)), _41669 = _41667, _41665 = _41663], (74 ^ _39414) ^ [_42002, _42004, _42006, _42008] : [-(vmul(_42008, _42004) = vmul(_42006, _42002)), _42008 = _42006, _42004 = _42002], (2 ^ _39414) ^ [_39558] : [-(_39558 = _39558)], (4 ^ _39414) ^ [_39665, _39667] : [_39667 = _39665, -(_39665 = _39667)], (10 ^ _39414) ^ [_39869, _39871, _39873] : [-(_39873 = _39869), _39873 = _39871, _39871 = _39869], (20 ^ _39414) ^ [_40210, _40212, _40214, _40216] : [-(less(_40214, _40210)), less(_40216, _40212), _40216 = _40214, _40212 = _40210], (34 ^ _39414) ^ [_40634, _40636, _40638, _40640] : [-(greater(_40638, _40634)), greater(_40640, _40636), _40640 = _40638, _40636 = _40634], (84 ^ _39414) ^ [] : [-(greater(vd481, vd480))], (86 ^ _39414) ^ [] : [-(less(vd480, vd481))], (88 ^ _39414) ^ [_42453, _42455] : [_42455 = _42453, -(vmul(_42455, vd469) = vmul(_42453, vd469))], (94 ^ _39414) ^ [_42675, _42677] : [greater(_42677, _42675), -(greater(vplus(vmul(_42675, vd469), vmul(vskolem9(_42677, _42675), vd469)), vmul(_42675, vd469)))], (100 ^ _39414) ^ [_42915, _42917] : [greater(_42917, _42915), -(vmul(vplus(_42915, vskolem9(_42917, _42915)), vd469) = vplus(vmul(_42915, vd469), vmul(vskolem9(_42917, _42915), vd469)))], (106 ^ _39414) ^ [_43167, _43169] : [greater(_43169, _43167), -(vmul(_43169, vd469) = vmul(vplus(_43167, vskolem9(_43169, _43167)), vd469))], (112 ^ _39414) ^ [_43401, _43403] : [greater(_43403, _43401), -(_43403 = vplus(_43401, vskolem9(_43403, _43401)))], (118 ^ _39414) ^ [_43622, _43624, _43626] : [-(vmul(vmul(_43626, _43624), _43622) = vmul(_43626, vmul(_43624, _43622)))], (120 ^ _39414) ^ [_43744, _43746, _43748] : [-(vmul(_43748, vplus(_43746, _43744)) = vplus(vmul(_43748, _43746), vmul(_43748, _43744)))], (122 ^ _39414) ^ [_43855, _43857] : [-(vmul(_43857, _43855) = vmul(_43855, _43857))], (124 ^ _39414) ^ [_43955, _43957] : [-(vmul(vsucc(_43957), _43955) = vplus(vmul(_43957, _43955), _43955))], (126 ^ _39414) ^ [_44075, _44077] : [less(_44077, _44075), -(greater(_44075, _44077))], (132 ^ _39414) ^ [_44285, _44287] : [greater(_44287, _44285), -(less(_44285, _44287))], (138 ^ _39414) ^ [_44495, _44497] : [-(_44497 = _44495), -(greater(_44497, _44495)), -(less(_44497, _44495))], (148 ^ _39414) ^ [_44796, _44798] : [_44798 = _44796, less(_44798, _44796)], (154 ^ _39414) ^ [_45009, _45011] : [greater(_45011, _45009), less(_45011, _45009)], (160 ^ _39414) ^ [_45222, _45224] : [_45224 = _45222, greater(_45224, _45222)], (166 ^ _39414) ^ [_45464, _45466] : [less(_45464, _45466), -(_45466 = vplus(_45464, 169 ^ [_45464, _45466]))], (173 ^ _39414) ^ [_45692, _45694] : [174 ^ _39414 : [(175 ^ _39414) ^ [_45765] : [_45694 = vplus(_45692, _45765)]], -(less(_45692, _45694))], (179 ^ _39414) ^ [_45941, _45943] : [greater(_45941, _45943), -(_45941 = vplus(_45943, 182 ^ [_45941, _45943]))], (186 ^ _39414) ^ [_46169, _46171] : [187 ^ _39414 : [(188 ^ _39414) ^ [_46242] : [_46169 = vplus(_46171, _46242)]], -(greater(_46169, _46171))]], input).
% 0.51/1.38 ncf('1',plain,[greater(vd481, vd480), less(vd481, vd480)],start(154 ^ 0,bind([[_45009, _45011], [vd480, vd481]]))).
% 0.51/1.38 ncf('1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(34 ^ 1,bind([[_40634, _40636, _40638, _40640], [vd480, vd480, vd481, vd481]]))).
% 0.51/1.38 ncf('1.1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(34 ^ 2,bind([[_40634, _40636, _40638, _40640], [vd480, vd480, vd481, vd481]]))).
% 0.51/1.38 ncf('1.1.1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(34 ^ 3,bind([[_40634, _40636, _40638, _40640], [vd480, vd480, vd481, vd481]]))).
% 0.51/1.38 ncf('1.1.1.1.1',plain,[-(greater(vd481, vd480))],extension(84 ^ 4)).
% 0.51/1.38 ncf('1.1.1.1.2',plain,[-(vd481 = vd481)],extension(2 ^ 4,bind([[_39558], [vd481]]))).
% 0.51/1.38 ncf('1.1.1.1.3',plain,[-(vd480 = vd480)],extension(2 ^ 4,bind([[_39558], [vd480]]))).
% 0.51/1.38 ncf('1.1.1.2',plain,[-(vd481 = vd481)],extension(2 ^ 3,bind([[_39558], [vd481]]))).
% 0.51/1.38 ncf('1.1.1.3',plain,[-(vd480 = vd480)],extension(2 ^ 3,bind([[_39558], [vd480]]))).
% 0.51/1.38 ncf('1.1.2',plain,[-(vd481 = vd481)],extension(2 ^ 2,bind([[_39558], [vd481]]))).
% 0.51/1.38 ncf('1.1.3',plain,[-(vd480 = vd480)],extension(2 ^ 2,bind([[_39558], [vd480]]))).
% 0.51/1.38 ncf('1.2',plain,[-(less(vd481, vd480)), -(vd481 = vd480), -(greater(vd481, vd480))],extension(138 ^ 1,bind([[_44495, _44497], [vd480, vd481]]))).
% 0.51/1.38 ncf('1.2.1',plain,[vd481 = vd480, -(vd480 = vd481)],extension(4 ^ 2,bind([[_39665, _39667], [vd480, vd481]]))).
% 0.51/1.38 ncf('1.2.1.1',plain,[vd480 = vd481, -(vd480 = vd481), vd481 = vd481],extension(10 ^ 3,bind([[_39869, _39871, _39873], [vd481, vd481, vd480]]))).
% 0.51/1.38 ncf('1.2.1.1.1',plain,[vd480 = vd481, -(less(vd481, vd480)), less(vd480, vd481), vd481 = vd480],extension(20 ^ 4,bind([[_40210, _40212, _40214, _40216], [vd480, vd481, vd481, vd480]]))).
% 0.51/1.38 ncf('1.2.1.1.1.1',plain,[less(vd481, vd480)],reduction('1')).
% 0.51/1.38 ncf('1.2.1.1.1.2',plain,[-(less(vd480, vd481))],extension(86 ^ 5)).
% 0.51/1.38 ncf('1.2.1.1.1.3',plain,[-(vd481 = vd480)],reduction('1.2')).
% 0.51/1.38 ncf('1.2.1.1.2',plain,[-(vd481 = vd481)],extension(2 ^ 4,bind([[_39558], [vd481]]))).
% 0.51/1.38 ncf('1.2.2',plain,[greater(vd481, vd480), -(vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)))],extension(100 ^ 2,bind([[_42915, _42917], [vd480, vd481]]))).
% 0.51/1.38 ncf('1.2.2.1',plain,[vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)), -(vmul(vd481, vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469))), vmul(vd481, vd469) = vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469)],extension(10 ^ 3,bind([[_39869, _39871, _39873], [vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)), vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469), vmul(vd481, vd469)]]))).
% 0.51/1.38 ncf('1.2.2.1.1',plain,[vmul(vd481, vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)), -(greater(vmul(vd481, vd469), vmul(vd480, vd469)))],extension(186 ^ 4,bind([[_46169, _46171, _46242], [vmul(vd481, vd469), vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)]]))).
% 0.51/1.38 ncf('1.2.2.1.1.1',plain,[greater(vmul(vd481, vd469), vmul(vd480, vd469))],extension(192 ^ 5)).
% 0.51/1.38 ncf('1.2.2.1.2',plain,[-(vmul(vd481, vd469) = vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469)), greater(vd481, vd480)],extension(106 ^ 4,bind([[_43167, _43169], [vd480, vd481]]))).
% 0.51/1.38 ncf('1.2.2.1.2.1',plain,[-(greater(vd481, vd480))],lemmata('x')).
% 0.51/1.38 %-----------------------------------------------------
% 0.51/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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