TSTP Solution File: SET878+1 by nanoCoP---2.0
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%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET878+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 11:56:35 EDT 2023
% Result : Theorem 0.37s 1.37s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET878+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 18:49:01 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.37/1.37
% 0.37/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.37 %-----------------------------------------------------
% 0.37/1.37 ncf(matrix, plain, [(139 ^ _22266) ^ [] : [set_intersection2(singleton(136 ^ []), unordered_pair(136 ^ [], 137 ^ [])) = singleton(136 ^ [])], (70 ^ _22266) ^ [_24687, _24689] : [in(_24689, _24687), in(_24687, _24689)], (76 ^ _22266) ^ [_24883, _24885] : [-(unordered_pair(_24885, _24883) = unordered_pair(_24883, _24885))], (78 ^ _22266) ^ [_24983, _24985] : [-(set_intersection2(_24985, _24983) = set_intersection2(_24983, _24985))], (123 ^ _22266) ^ [_26602, _26604] : [-(set_intersection2(_26604, _26604) = _26604)], (132 ^ _22266) ^ [] : [-(empty(130 ^ []))], (135 ^ _22266) ^ [] : [empty(133 ^ [])], (125 ^ _22266) ^ [_26714, _26716] : [in(_26716, _26714), -(set_intersection2(_26714, singleton(_26716)) = singleton(_26716))], (102 ^ _22266) ^ [_25866, _25868, _25870] : [-(_25866 = unordered_pair(_25870, _25868)), 106 ^ _22266 : [(107 ^ _22266) ^ [] : [-(in(103 ^ [_25866, _25868, _25870], _25866))], (109 ^ _22266) ^ [] : [103 ^ [_25866, _25868, _25870] = _25870], (111 ^ _22266) ^ [] : [103 ^ [_25866, _25868, _25870] = _25868]], 112 ^ _22266 : [(119 ^ _22266) ^ [] : [in(103 ^ [_25866, _25868, _25870], _25866)], (113 ^ _22266) ^ [] : [-(103 ^ [_25866, _25868, _25870] = _25870), -(103 ^ [_25866, _25868, _25870] = _25868)]]], (80 ^ _22266) ^ [_25141, _25143, _25145] : [_25141 = unordered_pair(_25145, _25143), 83 ^ _22266 : [(94 ^ _22266) ^ [_25601] : [95 ^ _22266 : [(96 ^ _22266) ^ [] : [_25601 = _25145], (98 ^ _22266) ^ [] : [_25601 = _25143]], -(in(_25601, _25141))], (84 ^ _22266) ^ [_25323] : [in(_25323, _25141), -(_25323 = _25145), -(_25323 = _25143)]]], (44 ^ _22266) ^ [_23789, _23791, _23793, _23795] : [-(set_intersection2(_23795, _23791) = set_intersection2(_23793, _23789)), _23795 = _23793, _23791 = _23789], (64 ^ _22266) ^ [_24459, _24461] : [_24461 = _24459, -(singleton(_24461) = singleton(_24459))], (54 ^ _22266) ^ [_24148, _24150, _24152, _24154] : [-(unordered_pair(_24154, _24150) = unordered_pair(_24152, _24148)), _24154 = _24152, _24150 = _24148], (2 ^ _22266) ^ [_22410] : [-(_22410 = _22410)], (4 ^ _22266) ^ [_22517, _22519] : [_22519 = _22517, -(_22517 = _22519)], (10 ^ _22266) ^ [_22721, _22723, _22725] : [-(_22725 = _22721), _22725 = _22723, _22723 = _22721], (34 ^ _22266) ^ [_23458, _23460] : [-(empty(_23458)), _23460 = _23458, empty(_23460)], (20 ^ _22266) ^ [_23062, _23064, _23066, _23068] : [-(in(_23066, _23062)), in(_23068, _23064), _23068 = _23066, _23064 = _23062]], input).
% 0.37/1.37 ncf('1',plain,[set_intersection2(singleton(136 ^ []), unordered_pair(136 ^ [], 137 ^ [])) = singleton(136 ^ [])],start(139 ^ 0)).
% 0.37/1.37 ncf('1.1',plain,[-(set_intersection2(singleton(136 ^ []), unordered_pair(136 ^ [], 137 ^ [])) = singleton(136 ^ [])), set_intersection2(singleton(136 ^ []), unordered_pair(136 ^ [], 137 ^ [])) = set_intersection2(unordered_pair(136 ^ [], 137 ^ []), singleton(136 ^ [])), set_intersection2(unordered_pair(136 ^ [], 137 ^ []), singleton(136 ^ [])) = singleton(136 ^ [])],extension(10 ^ 1,bind([[_22721, _22723, _22725], [singleton(136 ^ []), set_intersection2(unordered_pair(136 ^ [], 137 ^ []), singleton(136 ^ [])), set_intersection2(singleton(136 ^ []), unordered_pair(136 ^ [], 137 ^ []))]]))).
% 0.37/1.37 ncf('1.1.1',plain,[-(set_intersection2(singleton(136 ^ []), unordered_pair(136 ^ [], 137 ^ [])) = set_intersection2(unordered_pair(136 ^ [], 137 ^ []), singleton(136 ^ [])))],extension(78 ^ 2,bind([[_24983, _24985], [unordered_pair(136 ^ [], 137 ^ []), singleton(136 ^ [])]]))).
% 0.37/1.37 ncf('1.1.2',plain,[-(set_intersection2(unordered_pair(136 ^ [], 137 ^ []), singleton(136 ^ [])) = singleton(136 ^ [])), in(136 ^ [], unordered_pair(136 ^ [], 137 ^ []))],extension(125 ^ 2,bind([[_26714, _26716], [unordered_pair(136 ^ [], 137 ^ []), 136 ^ []]]))).
% 0.37/1.37 ncf('1.1.2.1',plain,[-(in(136 ^ [], unordered_pair(136 ^ [], 137 ^ []))), 96 : 136 ^ [] = 136 ^ [], 94 : unordered_pair(136 ^ [], 137 ^ []) = unordered_pair(136 ^ [], 137 ^ [])],extension(80 ^ 3,bind([[_25141, _25143, _25145, _25601], [unordered_pair(136 ^ [], 137 ^ []), 137 ^ [], 136 ^ [], 136 ^ []]]))).
% 0.37/1.37 ncf('1.1.2.1.1',plain,[-(136 ^ [] = 136 ^ [])],extension(2 ^ 8,bind([[_22410], [136 ^ []]]))).
% 0.37/1.37 ncf('1.1.2.1.2',plain,[-(unordered_pair(136 ^ [], 137 ^ []) = unordered_pair(136 ^ [], 137 ^ []))],extension(2 ^ 4,bind([[_22410], [unordered_pair(136 ^ [], 137 ^ [])]]))).
% 0.37/1.37 %-----------------------------------------------------
% 0.37/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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