%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET901+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 11:56:38 EDT 2023
% Result : Theorem 0.25s 1.36s
% Output : Proof 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET901+1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.11 % Command : nanocop.sh %s %d
% 0.09/0.31 % Computer : n023.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Thu May 18 19:23:14 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.25/1.36
% 0.25/1.36 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.25/1.36 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/1.36 %-----------------------------------------------------
% 0.25/1.36 ncf(matrix, plain, [(105 ^ _22956) ^ [] : [106 ^ _22956 : [(107 ^ _22956) ^ [] : [-(subset(101 ^ [], unordered_pair(102 ^ [], 103 ^ [])))], (109 ^ _22956) ^ [] : [101 ^ [] = empty_set], (111 ^ _22956) ^ [] : [101 ^ [] = singleton(102 ^ [])], (113 ^ _22956) ^ [] : [101 ^ [] = singleton(103 ^ [])], (115 ^ _22956) ^ [] : [101 ^ [] = unordered_pair(102 ^ [], 103 ^ [])]], 116 ^ _22956 : [(131 ^ _22956) ^ [] : [subset(101 ^ [], unordered_pair(102 ^ [], 103 ^ []))], (117 ^ _22956) ^ [] : [-(101 ^ [] = empty_set), -(101 ^ [] = singleton(102 ^ [])), -(101 ^ [] = singleton(103 ^ [])), -(101 ^ [] = unordered_pair(102 ^ [], 103 ^ []))]]], (60 ^ _22956) ^ [_24999, _25001] : [-(unordered_pair(_25001, _24999) = unordered_pair(_24999, _25001))], (62 ^ _22956) ^ [_25099, _25101] : [-(subset(_25101, _25101))], (64 ^ _22956) ^ [] : [-(empty(empty_set))], (67 ^ _22956) ^ [] : [-(empty(65 ^ []))], (70 ^ _22956) ^ [] : [empty(68 ^ [])], (90 ^ _22956) ^ [_25943, _25945, _25947] : [91 ^ _22956 : [(92 ^ _22956) ^ [] : [_25947 = empty_set], (94 ^ _22956) ^ [] : [_25947 = singleton(_25945)], (96 ^ _22956) ^ [] : [_25947 = singleton(_25943)], (98 ^ _22956) ^ [] : [_25947 = unordered_pair(_25945, _25943)]], -(subset(_25947, unordered_pair(_25945, _25943)))], (72 ^ _22956) ^ [_25463, _25465, _25467] : [subset(_25467, unordered_pair(_25465, _25463)), -(_25467 = empty_set), -(_25467 = singleton(_25465)), -(_25467 = singleton(_25463)), -(_25467 = unordered_pair(_25465, _25463))], (44 ^ _22956) ^ [_24451, _24453] : [_24453 = _24451, -(singleton(_24453) = singleton(_24451))], (50 ^ _22956) ^ [_24677, _24679, _24681, _24683] : [-(unordered_pair(_24683, _24679) = unordered_pair(_24681, _24677)), _24683 = _24681, _24679 = _24677], (2 ^ _22956) ^ [_23100] : [-(_23100 = _23100)], (4 ^ _22956) ^ [_23207, _23209] : [_23209 = _23207, -(_23207 = _23209)], (10 ^ _22956) ^ [_23411, _23413, _23415] : [-(_23415 = _23411), _23415 = _23413, _23413 = _23411], (20 ^ _22956) ^ [_23724, _23726] : [-(empty(_23724)), _23726 = _23724, empty(_23726)], (30 ^ _22956) ^ [_24027, _24029, _24031, _24033] : [-(subset(_24031, _24027)), subset(_24033, _24029), _24033 = _24031, _24029 = _24027]], input).
% 0.25/1.36 ncf('1',plain,[109 : 101 ^ [] = empty_set, 131 : subset(101 ^ [], unordered_pair(102 ^ [], 103 ^ []))],start(105 ^ 0)).
% 0.25/1.36 ncf('1.1',plain,[-(101 ^ [] = empty_set), subset(101 ^ [], unordered_pair(102 ^ [], 103 ^ [])), -(101 ^ [] = singleton(102 ^ [])), -(101 ^ [] = singleton(103 ^ [])), -(101 ^ [] = unordered_pair(102 ^ [], 103 ^ []))],extension(72 ^ 3,bind([[_25463, _25465, _25467], [103 ^ [], 102 ^ [], 101 ^ []]]))).
% 0.25/1.36 ncf('1.1.1',plain,[-(subset(101 ^ [], unordered_pair(102 ^ [], 103 ^ [])))],extension(107 ^ 4)).
% 0.25/1.36 ncf('1.1.2',plain,[101 ^ [] = singleton(102 ^ [])],extension(111 ^ 4)).
% 0.25/1.36 ncf('1.1.3',plain,[101 ^ [] = singleton(103 ^ [])],extension(113 ^ 4)).
% 0.25/1.36 ncf('1.1.4',plain,[101 ^ [] = unordered_pair(102 ^ [], 103 ^ [])],extension(115 ^ 4)).
% 0.25/1.36 ncf('1.2',plain,[-(subset(101 ^ [], unordered_pair(102 ^ [], 103 ^ []))), 92 : 101 ^ [] = empty_set],extension(90 ^ 3,bind([[_25943, _25945, _25947], [103 ^ [], 102 ^ [], 101 ^ []]]))).
% 0.25/1.36 ncf('1.2.1',plain,[-(101 ^ [] = empty_set), -(101 ^ [] = singleton(102 ^ [])), -(101 ^ [] = singleton(103 ^ [])), -(101 ^ [] = unordered_pair(102 ^ [], 103 ^ []))],extension(117 ^ 6)).
% 0.25/1.36 ncf('1.2.1.1',plain,[101 ^ [] = singleton(102 ^ [])],extension(94 ^ 7)).
% 0.25/1.36 ncf('1.2.1.2',plain,[101 ^ [] = singleton(103 ^ [])],extension(96 ^ 7)).
% 0.25/1.36 ncf('1.2.1.3',plain,[101 ^ [] = unordered_pair(102 ^ [], 103 ^ [])],extension(98 ^ 7)).
% 0.25/1.36 %-----------------------------------------------------
% 0.25/1.36 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------