TSTP Solution File: GRA010+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GRA010+2 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 : 600s
% DateTime : Sat Jul 16 07:19:05 EDT 2022
% Result : Theorem 0.36s 1.43s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRA010+2 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.08/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon May 30 22:43:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.36/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.44
% 0.36/1.44 %-----------------------------------------------------
% 0.36/1.44 fof(complete_means_sequential_pairs_and_triangles, conjecture, complete => ! [_68253, _68256, _68259] : (path(_68256, _68259, _68253) & ! [_68280, _68283] : (on_path(_68280, _68253) & on_path(_68283, _68253) & sequential(_68280, _68283) => ? [_68321] : triangle(_68280, _68283, _68321)) => number_of_in(sequential_pairs, _68253) = number_of_in(triangles, _68253)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complete_means_sequential_pairs_and_triangles)).
% 0.36/1.44 fof(sequential_pairs_and_triangles, axiom, ! [_68694, _68697, _68700] : (path(_68697, _68700, _68694) & ! [_68721, _68724] : (on_path(_68721, _68694) & on_path(_68724, _68694) & sequential(_68721, _68724) => ? [_68762] : triangle(_68721, _68724, _68762)) => number_of_in(sequential_pairs, _68694) = number_of_in(triangles, _68694)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sequential_pairs_and_triangles)).
% 0.36/1.44
% 0.36/1.44 cnf(1, plain, [number_of_in(sequential_pairs, 10 ^ []) = number_of_in(triangles, 10 ^ [])], clausify(complete_means_sequential_pairs_and_triangles)).
% 0.36/1.44 cnf(2, plain, [-(path(11 ^ [], 12 ^ [], 10 ^ []))], clausify(complete_means_sequential_pairs_and_triangles)).
% 0.36/1.44 cnf(3, plain, [-(triangle(_54663, _54668, 13 ^ [_54668, _54663])), on_path(_54663, 10 ^ []), on_path(_54668, 10 ^ []), sequential(_54663, _54668)], clausify(complete_means_sequential_pairs_and_triangles)).
% 0.36/1.44 cnf(4, plain, [-(number_of_in(sequential_pairs, _42228) = number_of_in(triangles, _42228)), path(_42325, _42421, _42228), -(on_path(7 ^ [_42421, _42325, _42228], _42228))], clausify(sequential_pairs_and_triangles)).
% 0.36/1.44 cnf(5, plain, [-(number_of_in(sequential_pairs, _42228) = number_of_in(triangles, _42228)), path(_42325, _42421, _42228), -(on_path(8 ^ [_42421, _42325, _42228], _42228))], clausify(sequential_pairs_and_triangles)).
% 0.36/1.44 cnf(6, plain, [-(number_of_in(sequential_pairs, _42228) = number_of_in(triangles, _42228)), path(_42325, _42421, _42228), -(sequential(7 ^ [_42421, _42325, _42228], 8 ^ [_42421, _42325, _42228]))], clausify(sequential_pairs_and_triangles)).
% 0.36/1.44 cnf(7, plain, [-(number_of_in(sequential_pairs, _42228) = number_of_in(triangles, _42228)), path(_42325, _42421, _42228), triangle(7 ^ [_42421, _42325, _42228], 8 ^ [_42421, _42325, _42228], _50044)], clausify(sequential_pairs_and_triangles)).
% 0.36/1.44
% 0.36/1.44 cnf('1',plain,[number_of_in(sequential_pairs, 10 ^ []) = number_of_in(triangles, 10 ^ [])],start(1)).
% 0.36/1.44 cnf('1.1',plain,[-(number_of_in(sequential_pairs, 10 ^ []) = number_of_in(triangles, 10 ^ [])), path(11 ^ [], 12 ^ [], 10 ^ []), -(on_path(7 ^ [12 ^ [], 11 ^ [], 10 ^ []], 10 ^ []))],extension(4,bind([[_42421, _42325, _42228], [12 ^ [], 11 ^ [], 10 ^ []]]))).
% 0.36/1.44 cnf('1.1.1',plain,[-(path(11 ^ [], 12 ^ [], 10 ^ []))],extension(2)).
% 0.36/1.44 cnf('1.1.2',plain,[on_path(7 ^ [12 ^ [], 11 ^ [], 10 ^ []], 10 ^ []), -(triangle(7 ^ [12 ^ [], 11 ^ [], 10 ^ []], 8 ^ [12 ^ [], 11 ^ [], 10 ^ []], 13 ^ [8 ^ [12 ^ [], 11 ^ [], 10 ^ []], 7 ^ [12 ^ [], 11 ^ [], 10 ^ []]])), on_path(8 ^ [12 ^ [], 11 ^ [], 10 ^ []], 10 ^ []), sequential(7 ^ [12 ^ [], 11 ^ [], 10 ^ []], 8 ^ [12 ^ [], 11 ^ [], 10 ^ []])],extension(3,bind([[_54663, _54668], [7 ^ [12 ^ [], 11 ^ [], 10 ^ []], 8 ^ [12 ^ [], 11 ^ [], 10 ^ []]]]))).
% 0.36/1.44 cnf('1.1.2.1',plain,[triangle(7 ^ [12 ^ [], 11 ^ [], 10 ^ []], 8 ^ [12 ^ [], 11 ^ [], 10 ^ []], 13 ^ [8 ^ [12 ^ [], 11 ^ [], 10 ^ []], 7 ^ [12 ^ [], 11 ^ [], 10 ^ []]]), -(number_of_in(sequential_pairs, 10 ^ []) = number_of_in(triangles, 10 ^ [])), path(11 ^ [], 12 ^ [], 10 ^ [])],extension(7,bind([[_50044, _42325, _42421, _42228], [13 ^ [8 ^ [12 ^ [], 11 ^ [], 10 ^ []], 7 ^ [12 ^ [], 11 ^ [], 10 ^ []]], 11 ^ [], 12 ^ [], 10 ^ []]]))).
% 0.36/1.44 cnf('1.1.2.1.1',plain,[number_of_in(sequential_pairs, 10 ^ []) = number_of_in(triangles, 10 ^ [])],extension(1)).
% 0.36/1.44 cnf('1.1.2.1.2',plain,[-(path(11 ^ [], 12 ^ [], 10 ^ []))],extension(2)).
% 0.36/1.44 cnf('1.1.2.2',plain,[-(on_path(8 ^ [12 ^ [], 11 ^ [], 10 ^ []], 10 ^ [])), -(number_of_in(sequential_pairs, 10 ^ []) = number_of_in(triangles, 10 ^ [])), path(11 ^ [], 12 ^ [], 10 ^ [])],extension(5,bind([[_42325, _42421, _42228], [11 ^ [], 12 ^ [], 10 ^ []]]))).
% 0.36/1.44 cnf('1.1.2.2.1',plain,[number_of_in(sequential_pairs, 10 ^ []) = number_of_in(triangles, 10 ^ [])],extension(1)).
% 0.36/1.44 cnf('1.1.2.2.2',plain,[-(path(11 ^ [], 12 ^ [], 10 ^ []))],extension(2)).
% 0.36/1.44 cnf('1.1.2.3',plain,[-(sequential(7 ^ [12 ^ [], 11 ^ [], 10 ^ []], 8 ^ [12 ^ [], 11 ^ [], 10 ^ []])), -(number_of_in(sequential_pairs, 10 ^ []) = number_of_in(triangles, 10 ^ [])), path(11 ^ [], 12 ^ [], 10 ^ [])],extension(6,bind([[_42325, _42421, _42228], [11 ^ [], 12 ^ [], 10 ^ []]]))).
% 0.36/1.44 cnf('1.1.2.3.1',plain,[number_of_in(sequential_pairs, 10 ^ []) = number_of_in(triangles, 10 ^ [])],extension(1)).
% 0.36/1.44 cnf('1.1.2.3.2',plain,[-(path(11 ^ [], 12 ^ [], 10 ^ []))],extension(2)).
% 0.36/1.44 %-----------------------------------------------------
% 0.36/1.45
% 0.36/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------