TSTP Solution File: SET968+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET968+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 11:56:45 EDT 2023
% Result : Theorem 0.38s 1.38s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET968+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 18:43:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.38/1.38
% 0.38/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.38 %-----------------------------------------------------
% 0.38/1.38 ncf(matrix, plain, [(82 ^ _20913) ^ [] : [cartesian_product2(set_union2(77 ^ [], 78 ^ []), set_union2(79 ^ [], 80 ^ [])) = set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ []))], (50 ^ _20913) ^ [_22647, _22649] : [-(set_union2(_22649, _22647) = set_union2(_22647, _22649))], (52 ^ _20913) ^ [_22762, _22764] : [-(empty(_22764)), empty(set_union2(_22764, _22762))], (64 ^ _20913) ^ [_23179, _23181] : [-(set_union2(_23181, _23181) = _23181)], (67 ^ _20913) ^ [] : [-(empty(65 ^ []))], (70 ^ _20913) ^ [] : [empty(68 ^ [])], (72 ^ _20913) ^ [_23489, _23491, _23493] : [-(cartesian_product2(set_union2(_23493, _23491), _23489) = set_union2(cartesian_product2(_23493, _23489), cartesian_product2(_23491, _23489)))], (74 ^ _20913) ^ [_23552, _23554, _23556] : [-(cartesian_product2(_23552, set_union2(_23556, _23554)) = set_union2(cartesian_product2(_23552, _23556), cartesian_product2(_23552, _23554)))], (76 ^ _20913) ^ [_23659, _23661, _23663] : [-(set_union2(set_union2(_23663, _23661), _23659) = set_union2(_23663, set_union2(_23661, _23659)))], (58 ^ _20913) ^ [_22978, _22980] : [-(empty(_22980)), empty(set_union2(_22978, _22980))], (30 ^ _20913) ^ [_21986, _21988, _21990, _21992] : [-(set_union2(_21992, _21988) = set_union2(_21990, _21986)), _21992 = _21990, _21988 = _21986], (40 ^ _20913) ^ [_22325, _22327, _22329, _22331] : [-(cartesian_product2(_22331, _22327) = cartesian_product2(_22329, _22325)), _22331 = _22329, _22327 = _22325], (20 ^ _20913) ^ [_21661, _21663] : [-(empty(_21661)), _21663 = _21661, empty(_21663)], (2 ^ _20913) ^ [_21057] : [-(_21057 = _21057)], (4 ^ _20913) ^ [_21164, _21166] : [_21166 = _21164, -(_21164 = _21166)], (10 ^ _20913) ^ [_21368, _21370, _21372] : [-(_21372 = _21368), _21372 = _21370, _21370 = _21368]], input).
% 0.38/1.38 ncf('1',plain,[cartesian_product2(set_union2(77 ^ [], 78 ^ []), set_union2(79 ^ [], 80 ^ [])) = set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ []))],start(82 ^ 0)).
% 0.38/1.38 ncf('1.1',plain,[-(cartesian_product2(set_union2(77 ^ [], 78 ^ []), set_union2(79 ^ [], 80 ^ [])) = set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ []))), cartesian_product2(set_union2(77 ^ [], 78 ^ []), set_union2(79 ^ [], 80 ^ [])) = set_union2(cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ []))), set_union2(cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ []))) = set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ []))],extension(10 ^ 1,bind([[_21368, _21370, _21372], [set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ [])), set_union2(cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ []))), cartesian_product2(set_union2(77 ^ [], 78 ^ []), set_union2(79 ^ [], 80 ^ []))]]))).
% 0.38/1.38 ncf('1.1.1',plain,[-(cartesian_product2(set_union2(77 ^ [], 78 ^ []), set_union2(79 ^ [], 80 ^ [])) = set_union2(cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ []))))],extension(72 ^ 2,bind([[_23489, _23491, _23493], [set_union2(79 ^ [], 80 ^ []), 78 ^ [], 77 ^ []]]))).
% 0.38/1.38 ncf('1.1.2',plain,[-(set_union2(cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ []))) = set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ []))), set_union2(cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ []))) = set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ []))), set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ []))) = set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ []))],extension(10 ^ 2,bind([[_21368, _21370, _21372], [set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ [])), set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ []))), set_union2(cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ [])))]]))).
% 0.38/1.38 ncf('1.1.2.1',plain,[-(set_union2(cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ []))) = set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ [])))), cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ [])) = set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ [])) = set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ []))],extension(30 ^ 3,bind([[_21986, _21988, _21990, _21992], [set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ [])), set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ []))]]))).
% 0.38/1.38 ncf('1.1.2.1.1',plain,[-(cartesian_product2(77 ^ [], set_union2(79 ^ [], 80 ^ [])) = set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])))],extension(74 ^ 4,bind([[_23552, _23554, _23556], [77 ^ [], 80 ^ [], 79 ^ []]]))).
% 0.38/1.38 ncf('1.1.2.1.2',plain,[-(cartesian_product2(78 ^ [], set_union2(79 ^ [], 80 ^ [])) = set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ [])))],extension(74 ^ 4,bind([[_23552, _23554, _23556], [78 ^ [], 80 ^ [], 79 ^ []]]))).
% 0.38/1.38 ncf('1.1.2.2',plain,[-(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ []))) = set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ []))), set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ [])) = set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ [])))],extension(4 ^ 3,bind([[_21164, _21166], [set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ []))), set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ []))]]))).
% 0.38/1.38 ncf('1.1.2.2.1',plain,[-(set_union2(set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), cartesian_product2(78 ^ [], 79 ^ [])), cartesian_product2(78 ^ [], 80 ^ [])) = set_union2(set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ [])), set_union2(cartesian_product2(78 ^ [], 79 ^ []), cartesian_product2(78 ^ [], 80 ^ []))))],extension(76 ^ 4,bind([[_23659, _23661, _23663], [cartesian_product2(78 ^ [], 80 ^ []), cartesian_product2(78 ^ [], 79 ^ []), set_union2(cartesian_product2(77 ^ [], 79 ^ []), cartesian_product2(77 ^ [], 80 ^ []))]]))).
% 0.38/1.38 %-----------------------------------------------------
% 0.38/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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