TSTP Solution File: SET979+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET979+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 11:56:46 EDT 2023
% Result : Theorem 0.36s 1.39s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET979+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n025.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 19:01:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.36/1.39
% 0.36/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.39 %-----------------------------------------------------
% 0.36/1.39 ncf(matrix, plain, [(99 ^ _24623) ^ [] : [cartesian_product2(unordered_pair(95 ^ [], 96 ^ []), 97 ^ []) = set_union2(cartesian_product2(singleton(95 ^ []), 97 ^ []), cartesian_product2(singleton(96 ^ []), 97 ^ [])), cartesian_product2(97 ^ [], unordered_pair(95 ^ [], 96 ^ [])) = set_union2(cartesian_product2(97 ^ [], singleton(95 ^ [])), cartesian_product2(97 ^ [], singleton(96 ^ [])))], (66 ^ _24623) ^ [_26942, _26944] : [-(unordered_pair(_26944, _26942) = unordered_pair(_26942, _26944))], (68 ^ _24623) ^ [_27042, _27044] : [-(set_union2(_27044, _27042) = set_union2(_27042, _27044))], (70 ^ _24623) ^ [_27157, _27159] : [-(empty(_27159)), empty(set_union2(_27159, _27157))], (82 ^ _24623) ^ [_27574, _27576] : [-(set_union2(_27576, _27576) = _27576)], (85 ^ _24623) ^ [] : [-(empty(83 ^ []))], (88 ^ _24623) ^ [] : [empty(86 ^ [])], (90 ^ _24623) ^ [_27884, _27886, _27888] : [-(cartesian_product2(set_union2(_27888, _27886), _27884) = set_union2(cartesian_product2(_27888, _27884), cartesian_product2(_27886, _27884)))], (92 ^ _24623) ^ [_27947, _27949, _27951] : [-(cartesian_product2(_27947, set_union2(_27951, _27949)) = set_union2(cartesian_product2(_27947, _27951), cartesian_product2(_27947, _27949)))], (94 ^ _24623) ^ [_28040, _28042] : [-(unordered_pair(_28042, _28040) = set_union2(singleton(_28042), singleton(_28040)))], (76 ^ _24623) ^ [_27373, _27375] : [-(empty(_27375)), empty(set_union2(_27373, _27375))], (20 ^ _24623) ^ [_25371, _25373] : [-(empty(_25371)), _25373 = _25371, empty(_25373)], (2 ^ _24623) ^ [_24767] : [-(_24767 = _24767)], (4 ^ _24623) ^ [_24874, _24876] : [_24876 = _24874, -(_24874 = _24876)], (10 ^ _24623) ^ [_25078, _25080, _25082] : [-(_25082 = _25078), _25082 = _25080, _25080 = _25078], (30 ^ _24623) ^ [_25696, _25698, _25700, _25702] : [-(unordered_pair(_25702, _25698) = unordered_pair(_25700, _25696)), _25702 = _25700, _25698 = _25696], (40 ^ _24623) ^ [_26055, _26057, _26059, _26061] : [-(set_union2(_26061, _26057) = set_union2(_26059, _26055)), _26061 = _26059, _26057 = _26055], (60 ^ _24623) ^ [_26725, _26727] : [_26727 = _26725, -(singleton(_26727) = singleton(_26725))], (50 ^ _24623) ^ [_26414, _26416, _26418, _26420] : [-(cartesian_product2(_26420, _26416) = cartesian_product2(_26418, _26414)), _26420 = _26418, _26416 = _26414]], input).
% 0.36/1.39 ncf('1',plain,[cartesian_product2(unordered_pair(95 ^ [], 96 ^ []), 97 ^ []) = set_union2(cartesian_product2(singleton(95 ^ []), 97 ^ []), cartesian_product2(singleton(96 ^ []), 97 ^ [])), cartesian_product2(97 ^ [], unordered_pair(95 ^ [], 96 ^ [])) = set_union2(cartesian_product2(97 ^ [], singleton(95 ^ [])), cartesian_product2(97 ^ [], singleton(96 ^ [])))],start(99 ^ 0)).
% 0.36/1.39 ncf('1.1',plain,[-(cartesian_product2(unordered_pair(95 ^ [], 96 ^ []), 97 ^ []) = set_union2(cartesian_product2(singleton(95 ^ []), 97 ^ []), cartesian_product2(singleton(96 ^ []), 97 ^ []))), cartesian_product2(unordered_pair(95 ^ [], 96 ^ []), 97 ^ []) = cartesian_product2(set_union2(singleton(95 ^ []), singleton(96 ^ [])), 97 ^ []), cartesian_product2(set_union2(singleton(95 ^ []), singleton(96 ^ [])), 97 ^ []) = set_union2(cartesian_product2(singleton(95 ^ []), 97 ^ []), cartesian_product2(singleton(96 ^ []), 97 ^ []))],extension(10 ^ 1,bind([[_25078, _25080, _25082], [set_union2(cartesian_product2(singleton(95 ^ []), 97 ^ []), cartesian_product2(singleton(96 ^ []), 97 ^ [])), cartesian_product2(set_union2(singleton(95 ^ []), singleton(96 ^ [])), 97 ^ []), cartesian_product2(unordered_pair(95 ^ [], 96 ^ []), 97 ^ [])]]))).
% 0.36/1.39 ncf('1.1.1',plain,[-(cartesian_product2(unordered_pair(95 ^ [], 96 ^ []), 97 ^ []) = cartesian_product2(set_union2(singleton(95 ^ []), singleton(96 ^ [])), 97 ^ [])), unordered_pair(95 ^ [], 96 ^ []) = set_union2(singleton(95 ^ []), singleton(96 ^ [])), 97 ^ [] = 97 ^ []],extension(50 ^ 2,bind([[_26414, _26416, _26418, _26420], [97 ^ [], 97 ^ [], set_union2(singleton(95 ^ []), singleton(96 ^ [])), unordered_pair(95 ^ [], 96 ^ [])]]))).
% 0.36/1.39 ncf('1.1.1.1',plain,[-(unordered_pair(95 ^ [], 96 ^ []) = set_union2(singleton(95 ^ []), singleton(96 ^ [])))],extension(94 ^ 3,bind([[_28040, _28042], [96 ^ [], 95 ^ []]]))).
% 0.36/1.39 ncf('1.1.1.2',plain,[-(97 ^ [] = 97 ^ [])],extension(2 ^ 3,bind([[_24767], [97 ^ []]]))).
% 0.36/1.39 ncf('1.1.2',plain,[-(cartesian_product2(set_union2(singleton(95 ^ []), singleton(96 ^ [])), 97 ^ []) = set_union2(cartesian_product2(singleton(95 ^ []), 97 ^ []), cartesian_product2(singleton(96 ^ []), 97 ^ [])))],extension(90 ^ 2,bind([[_27884, _27886, _27888], [97 ^ [], singleton(96 ^ []), singleton(95 ^ [])]]))).
% 0.36/1.39 ncf('1.2',plain,[-(cartesian_product2(97 ^ [], unordered_pair(95 ^ [], 96 ^ [])) = set_union2(cartesian_product2(97 ^ [], singleton(95 ^ [])), cartesian_product2(97 ^ [], singleton(96 ^ [])))), cartesian_product2(97 ^ [], unordered_pair(95 ^ [], 96 ^ [])) = cartesian_product2(97 ^ [], set_union2(singleton(95 ^ []), singleton(96 ^ []))), cartesian_product2(97 ^ [], set_union2(singleton(95 ^ []), singleton(96 ^ []))) = set_union2(cartesian_product2(97 ^ [], singleton(95 ^ [])), cartesian_product2(97 ^ [], singleton(96 ^ [])))],extension(10 ^ 1,bind([[_25078, _25080, _25082], [set_union2(cartesian_product2(97 ^ [], singleton(95 ^ [])), cartesian_product2(97 ^ [], singleton(96 ^ []))), cartesian_product2(97 ^ [], set_union2(singleton(95 ^ []), singleton(96 ^ []))), cartesian_product2(97 ^ [], unordered_pair(95 ^ [], 96 ^ []))]]))).
% 0.36/1.39 ncf('1.2.1',plain,[-(cartesian_product2(97 ^ [], unordered_pair(95 ^ [], 96 ^ [])) = cartesian_product2(97 ^ [], set_union2(singleton(95 ^ []), singleton(96 ^ [])))), 97 ^ [] = 97 ^ [], unordered_pair(95 ^ [], 96 ^ []) = set_union2(singleton(95 ^ []), singleton(96 ^ []))],extension(50 ^ 2,bind([[_26414, _26416, _26418, _26420], [set_union2(singleton(95 ^ []), singleton(96 ^ [])), unordered_pair(95 ^ [], 96 ^ []), 97 ^ [], 97 ^ []]]))).
% 0.36/1.39 ncf('1.2.1.1',plain,[-(97 ^ [] = 97 ^ [])],extension(2 ^ 3,bind([[_24767], [97 ^ []]]))).
% 0.36/1.39 ncf('1.2.1.2',plain,[-(unordered_pair(95 ^ [], 96 ^ []) = set_union2(singleton(95 ^ []), singleton(96 ^ [])))],extension(94 ^ 3,bind([[_28040, _28042], [96 ^ [], 95 ^ []]]))).
% 0.36/1.39 ncf('1.2.2',plain,[-(cartesian_product2(97 ^ [], set_union2(singleton(95 ^ []), singleton(96 ^ []))) = set_union2(cartesian_product2(97 ^ [], singleton(95 ^ [])), cartesian_product2(97 ^ [], singleton(96 ^ []))))],extension(92 ^ 2,bind([[_27947, _27949, _27951], [97 ^ [], singleton(96 ^ []), singleton(95 ^ [])]]))).
% 0.36/1.39 %-----------------------------------------------------
% 0.36/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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