TSTP Solution File: SYN548+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SYN548+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 12:34:16 EDT 2023
% Result : Theorem 0.92s 1.38s
% Output : Proof 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN548+1 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 19:40:18 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.92/1.38
% 0.92/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.92/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.38 %-----------------------------------------------------
% 0.92/1.38 ncf(matrix, plain, [(2 ^ _29552) ^ [_29636] : [-(reachable(_29636, _29636))], (4 ^ _29552) ^ [_29737, _29739, _29741] : [-(reachable(_29741, _29737)), reachable(_29741, _29739), reachable(_29739, _29737)], (14 ^ _29552) ^ [_30014] : [reachable(initial_world, _30014), 18 ^ _29552 : [(19 ^ _29552) ^ [] : [-(reachable(_30014, 17 ^ [_30014]))], (21 ^ _29552) ^ [] : [22 ^ _29552 : [(38 ^ _29552) ^ [] : [-(reachable(17 ^ [_30014], 36 ^ [_30014]))], (40 ^ _29552) ^ [] : [p(36 ^ [_30014])], (43 ^ _29552) ^ [] : [-(reachable(17 ^ [_30014], 41 ^ [_30014]))], (45 ^ _29552) ^ [] : [q(41 ^ [_30014])], (23 ^ _29552) ^ [_30440] : [reachable(17 ^ [_30014], _30440), -(p(_30440)), 30 ^ _29552 : [(31 ^ _29552) ^ [_30672] : [reachable(_30440, _30672), -(q(_30672))]]]], 46 ^ _29552 : [(62 ^ _29552) ^ [] : [-(reachable(17 ^ [_30014], 60 ^ [_30014]))], (64 ^ _29552) ^ [] : [p(60 ^ [_30014])], (67 ^ _29552) ^ [] : [-(reachable(60 ^ [_30014], 65 ^ [_30014]))], (69 ^ _29552) ^ [] : [q(65 ^ [_30014])], (47 ^ _29552) ^ [] : [48 ^ _29552 : [(49 ^ _29552) ^ [_31297] : [reachable(17 ^ [_30014], _31297), -(p(_31297))]], 54 ^ _29552 : [(55 ^ _29552) ^ [_31483] : [reachable(17 ^ [_30014], _31483), -(q(_31483))]]]]]]]], input).
% 0.92/1.38 ncf('1',plain,[reachable(initial_world, initial_world), 40 : p(36 ^ [initial_world]), 64 : p(60 ^ [initial_world])],start(14 ^ 0,bind([[_30014], [initial_world]]))).
% 0.92/1.38 ncf('1.1',plain,[-(reachable(initial_world, initial_world))],extension(2 ^ 1,bind([[_29636], [initial_world]]))).
% 0.92/1.38 ncf('1.2',plain,[-(p(36 ^ [initial_world])), reachable(17 ^ [initial_world], 36 ^ [initial_world]), 31 : reachable(36 ^ [initial_world], 41 ^ [36 ^ [initial_world]]), 31 : -(q(41 ^ [36 ^ [initial_world]]))],extension(23 ^ 5,bind([[_30440, _30672], [36 ^ [initial_world], 41 ^ [36 ^ [initial_world]]]]))).
% 0.92/1.38 ncf('1.2.1',plain,[-(reachable(17 ^ [initial_world], 36 ^ [initial_world])), reachable(17 ^ [initial_world], 36 ^ [initial_world]), reachable(36 ^ [initial_world], 36 ^ [initial_world])],extension(4 ^ 6,bind([[_29737, _29739, _29741], [36 ^ [initial_world], 36 ^ [initial_world], 17 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.2.1.1',plain,[-(reachable(17 ^ [initial_world], 36 ^ [initial_world])), reachable(17 ^ [initial_world], 36 ^ [initial_world]), reachable(36 ^ [initial_world], 36 ^ [initial_world])],extension(4 ^ 7,bind([[_29737, _29739, _29741], [36 ^ [initial_world], 36 ^ [initial_world], 17 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.2.1.1.1',plain,[-(reachable(17 ^ [initial_world], 36 ^ [initial_world])), reachable(17 ^ [initial_world], 36 ^ [initial_world]), reachable(36 ^ [initial_world], 36 ^ [initial_world])],extension(4 ^ 8,bind([[_29737, _29739, _29741], [36 ^ [initial_world], 36 ^ [initial_world], 17 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.2.1.1.1.1',plain,[-(reachable(17 ^ [initial_world], 36 ^ [initial_world]))],extension(38 ^ 9)).
% 0.92/1.38 ncf('1.2.1.1.1.2',plain,[-(reachable(36 ^ [initial_world], 36 ^ [initial_world]))],extension(2 ^ 9,bind([[_29636], [36 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.2.1.1.2',plain,[-(reachable(36 ^ [initial_world], 36 ^ [initial_world]))],extension(2 ^ 8,bind([[_29636], [36 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.2.1.2',plain,[-(reachable(36 ^ [initial_world], 36 ^ [initial_world]))],extension(2 ^ 7,bind([[_29636], [36 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.2.2',plain,[-(reachable(36 ^ [initial_world], 41 ^ [36 ^ [initial_world]])), reachable(36 ^ [initial_world], 17 ^ [36 ^ [initial_world]]), reachable(17 ^ [36 ^ [initial_world]], 41 ^ [36 ^ [initial_world]])],extension(4 ^ 8,bind([[_29737, _29739, _29741], [41 ^ [36 ^ [initial_world]], 17 ^ [36 ^ [initial_world]], 36 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.2.2.1',plain,[-(reachable(36 ^ [initial_world], 17 ^ [36 ^ [initial_world]])), reachable(initial_world, 36 ^ [initial_world])],extension(14 ^ 9,bind([[_30014], [36 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.2.2.1.1',plain,[-(reachable(initial_world, 36 ^ [initial_world])), reachable(initial_world, 17 ^ [initial_world]), reachable(17 ^ [initial_world], 36 ^ [initial_world])],extension(4 ^ 10,bind([[_29737, _29739, _29741], [36 ^ [initial_world], 17 ^ [initial_world], initial_world]]))).
% 0.92/1.38 ncf('1.2.2.1.1.1',plain,[-(reachable(initial_world, 17 ^ [initial_world])), reachable(initial_world, initial_world)],extension(14 ^ 11,bind([[_30014], [initial_world]]))).
% 0.92/1.38 ncf('1.2.2.1.1.1.1',plain,[-(reachable(initial_world, initial_world))],lemmata('x')).
% 0.92/1.38 ncf('1.2.2.1.1.2',plain,[-(reachable(17 ^ [initial_world], 36 ^ [initial_world]))],lemmata('[1].x')).
% 0.92/1.38 ncf('1.2.2.2',plain,[-(reachable(17 ^ [36 ^ [initial_world]], 41 ^ [36 ^ [initial_world]])), 49 : reachable(17 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]), 49 : -(p(60 ^ [36 ^ [initial_world]])), 55 : reachable(17 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]]), 55 : -(q(65 ^ [36 ^ [initial_world]])), 21 : reachable(initial_world, 36 ^ [initial_world])],extension(14 ^ 9,bind([[_30014, _31297, _31483], [36 ^ [initial_world], 60 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]]]]))).
% 0.92/1.38 ncf('1.2.2.2.1',plain,[-(reachable(17 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]])), reachable(17 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]), reachable(60 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]])],extension(4 ^ 16,bind([[_29737, _29739, _29741], [60 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]], 17 ^ [36 ^ [initial_world]]]]))).
% 0.92/1.38 ncf('1.2.2.2.1.1',plain,[-(reachable(17 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]))],extension(62 ^ 17)).
% 0.92/1.38 ncf('1.2.2.2.1.2',plain,[-(reachable(60 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]))],extension(2 ^ 17,bind([[_29636], [60 ^ [36 ^ [initial_world]]]]))).
% 0.92/1.38 ncf('1.2.2.2.2',plain,[p(60 ^ [36 ^ [initial_world]])],extension(64 ^ 16)).
% 0.92/1.38 ncf('1.2.2.2.3',plain,[-(reachable(17 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]])), reachable(17 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]), reachable(60 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]])],extension(4 ^ 16,bind([[_29737, _29739, _29741], [65 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]], 17 ^ [36 ^ [initial_world]]]]))).
% 0.92/1.38 ncf('1.2.2.2.3.1',plain,[-(reachable(17 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]))],extension(62 ^ 17)).
% 0.92/1.38 ncf('1.2.2.2.3.2',plain,[-(reachable(60 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]]))],extension(67 ^ 17)).
% 0.92/1.38 ncf('1.2.2.2.4',plain,[q(65 ^ [36 ^ [initial_world]])],extension(69 ^ 16)).
% 0.92/1.38 ncf('1.2.2.2.5',plain,[-(reachable(initial_world, 36 ^ [initial_world])), reachable(initial_world, 17 ^ [initial_world]), reachable(17 ^ [initial_world], 36 ^ [initial_world])],extension(4 ^ 10,bind([[_29737, _29739, _29741], [36 ^ [initial_world], 17 ^ [initial_world], initial_world]]))).
% 0.92/1.38 ncf('1.2.2.2.5.1',plain,[-(reachable(initial_world, 17 ^ [initial_world])), reachable(initial_world, initial_world)],extension(14 ^ 11,bind([[_30014], [initial_world]]))).
% 0.92/1.38 ncf('1.2.2.2.5.1.1',plain,[-(reachable(initial_world, initial_world))],lemmata('x')).
% 0.92/1.38 ncf('1.2.2.2.5.2',plain,[-(reachable(17 ^ [initial_world], 36 ^ [initial_world]))],lemmata('[1].x')).
% 0.92/1.38 ncf('1.2.3',plain,[q(41 ^ [36 ^ [initial_world]]), 62 : -(reachable(17 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]])), 21 : reachable(initial_world, 36 ^ [initial_world])],extension(14 ^ 8,bind([[_30014], [36 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.2.3.1',plain,[reachable(17 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]), -(reachable(17 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]])), reachable(60 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]])],extension(4 ^ 13,bind([[_29737, _29739, _29741], [65 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]], 17 ^ [36 ^ [initial_world]]]]))).
% 0.92/1.38 ncf('1.2.3.1.1',plain,[reachable(17 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]]), 55 : -(q(65 ^ [36 ^ [initial_world]])), 49 : reachable(17 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]), 49 : -(p(60 ^ [36 ^ [initial_world]]))],extension(47 ^ 14,bind([[_31483, _31297], [65 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]]]))).
% 0.92/1.38 ncf('1.2.3.1.1.1',plain,[q(65 ^ [36 ^ [initial_world]])],extension(69 ^ 17)).
% 0.92/1.38 ncf('1.2.3.1.1.2',plain,[-(reachable(17 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]))],reduction('1.2.3')).
% 0.92/1.38 ncf('1.2.3.1.1.3',plain,[p(60 ^ [36 ^ [initial_world]])],extension(64 ^ 17)).
% 0.92/1.38 ncf('1.2.3.1.2',plain,[-(reachable(60 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]])), reachable(60 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]]), reachable(65 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]])],extension(4 ^ 14,bind([[_29737, _29739, _29741], [65 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]], 60 ^ [36 ^ [initial_world]]]]))).
% 0.92/1.38 ncf('1.2.3.1.2.1',plain,[-(reachable(60 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]]))],extension(67 ^ 15)).
% 0.92/1.38 ncf('1.2.3.1.2.2',plain,[-(reachable(65 ^ [36 ^ [initial_world]], 65 ^ [36 ^ [initial_world]]))],extension(2 ^ 15,bind([[_29636], [65 ^ [36 ^ [initial_world]]]]))).
% 0.92/1.38 ncf('1.2.3.2',plain,[-(reachable(initial_world, 36 ^ [initial_world])), reachable(initial_world, 17 ^ [initial_world]), reachable(17 ^ [initial_world], 36 ^ [initial_world])],extension(4 ^ 9,bind([[_29737, _29739, _29741], [36 ^ [initial_world], 17 ^ [initial_world], initial_world]]))).
% 0.92/1.38 ncf('1.2.3.2.1',plain,[-(reachable(initial_world, 17 ^ [initial_world])), reachable(initial_world, 17 ^ [initial_world]), reachable(17 ^ [initial_world], 17 ^ [initial_world])],extension(4 ^ 10,bind([[_29737, _29739, _29741], [17 ^ [initial_world], 17 ^ [initial_world], initial_world]]))).
% 0.92/1.38 ncf('1.2.3.2.1.1',plain,[-(reachable(initial_world, 17 ^ [initial_world])), reachable(initial_world, initial_world)],extension(14 ^ 11,bind([[_30014], [initial_world]]))).
% 0.92/1.38 ncf('1.2.3.2.1.1.1',plain,[-(reachable(initial_world, initial_world))],lemmata('x')).
% 0.92/1.38 ncf('1.2.3.2.1.2',plain,[-(reachable(17 ^ [initial_world], 17 ^ [initial_world]))],extension(2 ^ 11,bind([[_29636], [17 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.2.3.2.2',plain,[-(reachable(17 ^ [initial_world], 36 ^ [initial_world]))],lemmata('[1].x')).
% 0.92/1.38 ncf('1.3',plain,[-(p(60 ^ [initial_world])), 49 : reachable(17 ^ [initial_world], 60 ^ [initial_world]), 55 : reachable(17 ^ [initial_world], 65 ^ [initial_world]), 55 : -(q(65 ^ [initial_world]))],extension(47 ^ 5,bind([[_31297, _31483], [60 ^ [initial_world], 65 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.1',plain,[-(reachable(17 ^ [initial_world], 60 ^ [initial_world])), reachable(17 ^ [initial_world], 60 ^ [initial_world]), reachable(60 ^ [initial_world], 60 ^ [initial_world])],extension(4 ^ 8,bind([[_29737, _29739, _29741], [60 ^ [initial_world], 60 ^ [initial_world], 17 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.1.1',plain,[-(reachable(17 ^ [initial_world], 60 ^ [initial_world])), reachable(17 ^ [initial_world], 60 ^ [initial_world]), reachable(60 ^ [initial_world], 60 ^ [initial_world])],extension(4 ^ 9,bind([[_29737, _29739, _29741], [60 ^ [initial_world], 60 ^ [initial_world], 17 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.1.1.1',plain,[-(reachable(17 ^ [initial_world], 60 ^ [initial_world])), reachable(17 ^ [initial_world], 60 ^ [initial_world]), reachable(60 ^ [initial_world], 60 ^ [initial_world])],extension(4 ^ 10,bind([[_29737, _29739, _29741], [60 ^ [initial_world], 60 ^ [initial_world], 17 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.1.1.1.1',plain,[-(reachable(17 ^ [initial_world], 60 ^ [initial_world]))],extension(62 ^ 11)).
% 0.92/1.38 ncf('1.3.1.1.1.2',plain,[-(reachable(60 ^ [initial_world], 60 ^ [initial_world]))],extension(2 ^ 11,bind([[_29636], [60 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.1.1.2',plain,[-(reachable(60 ^ [initial_world], 60 ^ [initial_world]))],extension(2 ^ 10,bind([[_29636], [60 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.1.2',plain,[-(reachable(60 ^ [initial_world], 60 ^ [initial_world]))],extension(2 ^ 9,bind([[_29636], [60 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.2',plain,[-(reachable(17 ^ [initial_world], 65 ^ [initial_world])), reachable(17 ^ [initial_world], 60 ^ [initial_world]), reachable(60 ^ [initial_world], 65 ^ [initial_world])],extension(4 ^ 8,bind([[_29737, _29739, _29741], [65 ^ [initial_world], 60 ^ [initial_world], 17 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.2.1',plain,[-(reachable(17 ^ [initial_world], 60 ^ [initial_world])), reachable(17 ^ [initial_world], 60 ^ [initial_world]), reachable(60 ^ [initial_world], 60 ^ [initial_world])],extension(4 ^ 9,bind([[_29737, _29739, _29741], [60 ^ [initial_world], 60 ^ [initial_world], 17 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.2.1.1',plain,[-(reachable(17 ^ [initial_world], 60 ^ [initial_world])), reachable(17 ^ [initial_world], 60 ^ [initial_world]), reachable(60 ^ [initial_world], 60 ^ [initial_world])],extension(4 ^ 10,bind([[_29737, _29739, _29741], [60 ^ [initial_world], 60 ^ [initial_world], 17 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.2.1.1.1',plain,[-(reachable(17 ^ [initial_world], 60 ^ [initial_world]))],extension(62 ^ 11)).
% 0.92/1.38 ncf('1.3.2.1.1.2',plain,[-(reachable(60 ^ [initial_world], 60 ^ [initial_world]))],extension(2 ^ 11,bind([[_29636], [60 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.2.1.2',plain,[-(reachable(60 ^ [initial_world], 60 ^ [initial_world]))],extension(2 ^ 10,bind([[_29636], [60 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.2.2',plain,[-(reachable(60 ^ [initial_world], 65 ^ [initial_world])), reachable(60 ^ [initial_world], 65 ^ [initial_world]), reachable(65 ^ [initial_world], 65 ^ [initial_world])],extension(4 ^ 9,bind([[_29737, _29739, _29741], [65 ^ [initial_world], 65 ^ [initial_world], 60 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.2.2.1',plain,[-(reachable(60 ^ [initial_world], 65 ^ [initial_world])), reachable(60 ^ [initial_world], 65 ^ [initial_world]), reachable(65 ^ [initial_world], 65 ^ [initial_world])],extension(4 ^ 10,bind([[_29737, _29739, _29741], [65 ^ [initial_world], 65 ^ [initial_world], 60 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.2.2.1.1',plain,[-(reachable(60 ^ [initial_world], 65 ^ [initial_world]))],extension(67 ^ 11)).
% 0.92/1.38 ncf('1.3.2.2.1.2',plain,[-(reachable(65 ^ [initial_world], 65 ^ [initial_world]))],extension(2 ^ 11,bind([[_29636], [65 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.2.2.2',plain,[-(reachable(65 ^ [initial_world], 65 ^ [initial_world]))],extension(2 ^ 10,bind([[_29636], [65 ^ [initial_world]]]))).
% 0.92/1.38 ncf('1.3.3',plain,[q(65 ^ [initial_world])],extension(69 ^ 8)).
% 0.92/1.38 %-----------------------------------------------------
% 0.92/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------