TSTP Solution File: SET909+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET909+1 : TPTP v8.1.2. Released v3.2.0.
% 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 11:56:39 EDT 2023
% Result : Theorem 196.65s 190.60s
% Output : Proof 196.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET909+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 19:03:51 EDT 2023
% 0.11/0.33 % CPUTime :
% 196.65/190.60
% 196.65/190.60 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 196.65/190.60 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 196.65/190.60 %-----------------------------------------------------
% 196.65/190.60 ncf(matrix, plain, [(198 ^ _38261) ^ [] : [-(set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []) = empty_set)], !, (20 ^ _31329) ^ [_32105, _32107, _32109, _32111] : [-(in(_32109, _32105)), in(_32111, _32107), _32111 = _32109, _32107 = _32105], (2 ^ _31329) ^ [_31453] : [-(_31453 = _31453)], (4 ^ _31329) ^ [_31560, _31562] : [_31562 = _31560, -(_31560 = _31562)], (175 ^ _31329) ^ [_37466, _37468] : [-(empty(_37468)), empty(set_union2(_37468, _37466))], (87 ^ _31329) ^ [_34418, _34420, _34422] : [_34418 = unordered_pair(_34422, _34420), 90 ^ _31329 : [(91 ^ _31329) ^ [_34600] : [in(_34600, _34418), -(_34600 = _34422), -(_34600 = _34420)], (101 ^ _31329) ^ [_34878] : [102 ^ _31329 : [(105 ^ _31329) ^ [] : [_34878 = _34420], (103 ^ _31329) ^ [] : [_34878 = _34422]], -(in(_34878, _34418))]]], (74 ^ _31329) ^ [_33934] : [_33934 = empty_set, 77 ^ _31329 : [(78 ^ _31329) ^ [_34047] : [in(_34047, _33934)]]], (34 ^ _31329) ^ [_32501, _32503] : [-(empty(_32501)), _32503 = _32501, empty(_32503)], (181 ^ _31329) ^ [_37682, _37684] : [-(empty(_37684)), empty(set_union2(_37682, _37684))], (152 ^ _31329) ^ [_36662, _36664, _36666] : [-(_36662 = set_union2(_36666, _36664)), 156 ^ _31329 : [(161 ^ _31329) ^ [] : [in(153 ^ [_36662, _36664, _36666], _36664)], (159 ^ _31329) ^ [] : [in(153 ^ [_36662, _36664, _36666], _36666)], (157 ^ _31329) ^ [] : [-(in(153 ^ [_36662, _36664, _36666], _36662))]], 162 ^ _31329 : [(163 ^ _31329) ^ [] : [-(in(153 ^ [_36662, _36664, _36666], _36666)), -(in(153 ^ [_36662, _36664, _36666], _36664))], (169 ^ _31329) ^ [] : [in(153 ^ [_36662, _36664, _36666], _36662)]]], (70 ^ _31329) ^ [_33704, _33706] : [-(unordered_pair(_33706, _33704) = unordered_pair(_33704, _33706))], (109 ^ _31329) ^ [_35143, _35145, _35147] : [-(_35143 = unordered_pair(_35147, _35145)), 113 ^ _31329 : [(118 ^ _31329) ^ [] : [110 ^ [_35143, _35145, _35147] = _35145], (116 ^ _31329) ^ [] : [110 ^ [_35143, _35145, _35147] = _35147], (114 ^ _31329) ^ [] : [-(in(110 ^ [_35143, _35145, _35147], _35143))]], 119 ^ _31329 : [(120 ^ _31329) ^ [] : [-(110 ^ [_35143, _35145, _35147] = _35147), -(110 ^ [_35143, _35145, _35147] = _35145)], (126 ^ _31329) ^ [] : [in(110 ^ [_35143, _35145, _35147], _35143)]]], (54 ^ _31329) ^ [_33171, _33173, _33175, _33177] : [-(unordered_pair(_33177, _33173) = unordered_pair(_33175, _33171)), _33177 = _33175, _33173 = _33171], (72 ^ _31329) ^ [_33804, _33806] : [-(set_union2(_33806, _33804) = set_union2(_33804, _33806))], (190 ^ _31329) ^ [] : [-(empty(188 ^ []))], (10 ^ _31329) ^ [_31764, _31766, _31768] : [-(_31768 = _31764), _31768 = _31766, _31766 = _31764], (187 ^ _31329) ^ [_37883, _37885] : [-(set_union2(_37885, _37885) = _37885)], (173 ^ _31329) ^ [] : [-(empty(empty_set))], (130 ^ _31329) ^ [_35937, _35939, _35941] : [_35937 = set_union2(_35941, _35939), 133 ^ _31329 : [(134 ^ _31329) ^ [_36119] : [in(_36119, _35937), -(in(_36119, _35941)), -(in(_36119, _35939))], (144 ^ _31329) ^ [_36397] : [145 ^ _31329 : [(148 ^ _31329) ^ [] : [in(_36397, _35939)], (146 ^ _31329) ^ [] : [in(_36397, _35941)]], -(in(_36397, _35937))]]], (80 ^ _31329) ^ [_34113] : [-(in(81 ^ [_34113], _34113)), -(_34113 = empty_set)], (193 ^ _31329) ^ [] : [empty(191 ^ [])], (44 ^ _31329) ^ [_32832, _32834, _32836, _32838] : [-(set_union2(_32838, _32834) = set_union2(_32836, _32832)), _32838 = _32836, _32834 = _32832], (64 ^ _31329) ^ [_33508, _33510] : [in(_33510, _33508), in(_33508, _33510)]], input).
% 196.65/190.60 ncf('1',plain,[-(set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []) = empty_set)],start(198 ^ 0)).
% 196.65/190.60 ncf('1.1',plain,[set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []) = empty_set, -(empty_set = set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []))],extension(4 ^ 1,bind([[_31560, _31562], [empty_set, set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ [])]]))).
% 196.65/190.60 ncf('1.1.1',plain,[empty_set = set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []), 146 : in(153 ^ [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])], unordered_pair(194 ^ [], 195 ^ [])), 146 : -(in(153 ^ [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])], empty_set))],extension(130 ^ 2,bind([[_35937, _35939, _35941, _36397], [empty_set, 196 ^ [], unordered_pair(194 ^ [], 195 ^ []), 153 ^ [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])]]]))).
% 196.65/190.60 ncf('1.1.1.1',plain,[-(in(153 ^ [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])], unordered_pair(194 ^ [], 195 ^ []))), -(unordered_pair(194 ^ [], 195 ^ []) = set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ [])), 163 : -(in(153 ^ [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])], unordered_pair(194 ^ [], 195 ^ []))), 163 : -(in(153 ^ [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])], 196 ^ []))],extension(152 ^ 7,bind([[_36662, _36664, _36666], [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])]]))).
% 196.65/190.60 ncf('1.1.1.1.1',plain,[unordered_pair(194 ^ [], 195 ^ []) = set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []), -(set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []) = unordered_pair(194 ^ [], 195 ^ []))],extension(4 ^ 8,bind([[_31560, _31562], [set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []), unordered_pair(194 ^ [], 195 ^ [])]]))).
% 196.65/190.60 ncf('1.1.1.1.1.1',plain,[set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []) = unordered_pair(194 ^ [], 195 ^ []), 105 : 195 ^ [] = 195 ^ [], 105 : -(in(195 ^ [], set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ [])))],extension(87 ^ 9,bind([[_34418, _34420, _34422, _34878], [set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []), 195 ^ [], 194 ^ [], 195 ^ []]]))).
% 196.65/190.60 ncf('1.1.1.1.1.1.1',plain,[-(195 ^ [] = 195 ^ [])],extension(2 ^ 14,bind([[_31453], [195 ^ []]]))).
% 196.65/190.60 ncf('1.1.1.1.1.1.2',plain,[in(195 ^ [], set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ [])), set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []) = empty_set],extension(74 ^ 12,bind([[_33934, _34047], [set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []), 195 ^ []]]))).
% 196.65/190.60 ncf('1.1.1.1.1.1.2.1',plain,[-(set_union2(unordered_pair(194 ^ [], 195 ^ []), 196 ^ []) = empty_set)],reduction('1')).
% 196.65/190.60 ncf('1.1.1.1.2',plain,[in(153 ^ [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])], unordered_pair(194 ^ [], 195 ^ []))],reduction('1.1.1')).
% 196.65/190.60 ncf('1.1.1.1.3',plain,[in(153 ^ [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])], 196 ^ [])],extension(148 ^ 10)).
% 196.65/190.60 ncf('1.1.1.2',plain,[in(153 ^ [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])], empty_set), empty_set = empty_set],extension(74 ^ 5,bind([[_33934, _34047], [empty_set, 153 ^ [unordered_pair(194 ^ [], 195 ^ []), 196 ^ [], unordered_pair(194 ^ [], 195 ^ [])]]]))).
% 196.65/190.60 ncf('1.1.1.2.1',plain,[-(empty_set = empty_set)],extension(2 ^ 6,bind([[_31453], [empty_set]]))).
% 196.65/190.60 %-----------------------------------------------------
% 196.65/190.60 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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