TSTP Solution File: GRA010+1 by leanCoP---2.2
View Problem
- Process Solution
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% File : leanCoP---2.2
% Problem : GRA010+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 1.41s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRA010+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n023.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 : 600
% 0.13/0.34 % DateTime : Mon May 30 23:25:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.36/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.42
% 0.36/1.42 %-----------------------------------------------------
% 0.36/1.42 fof(complete_means_sequential_pairs_and_triangles, conjecture, complete => ! [_66205, _66208, _66211] : (path(_66208, _66211, _66205) & ! [_66232, _66235] : (on_path(_66232, _66205) & on_path(_66235, _66205) & sequential(_66232, _66235) => ? [_66273] : triangle(_66232, _66235, _66273)) => number_of_in(sequential_pairs, _66205) = number_of_in(triangles, _66205)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', complete_means_sequential_pairs_and_triangles)).
% 0.36/1.42 fof(sequential_pairs_and_triangles, axiom, ! [_66640, _66643, _66646] : (path(_66643, _66646, _66640) & ! [_66667, _66670] : (on_path(_66667, _66640) & on_path(_66670, _66640) & sequential(_66667, _66670) => ? [_66708] : triangle(_66667, _66670, _66708)) => number_of_in(sequential_pairs, _66640) = number_of_in(triangles, _66640)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sequential_pairs_and_triangles)).
% 0.36/1.42
% 0.36/1.42 cnf(1, plain, [number_of_in(sequential_pairs, 9 ^ []) = number_of_in(triangles, 9 ^ [])], clausify(complete_means_sequential_pairs_and_triangles)).
% 0.36/1.42 cnf(2, plain, [-(path(10 ^ [], 11 ^ [], 9 ^ []))], clausify(complete_means_sequential_pairs_and_triangles)).
% 0.36/1.42 cnf(3, plain, [-(triangle(_52759, _52764, 12 ^ [_52764, _52759])), on_path(_52759, 9 ^ []), on_path(_52764, 9 ^ []), sequential(_52759, _52764)], clausify(complete_means_sequential_pairs_and_triangles)).
% 0.36/1.42 cnf(4, plain, [-(number_of_in(sequential_pairs, _41542) = number_of_in(triangles, _41542)), path(_41639, _41735, _41542), -(on_path(7 ^ [_41735, _41639, _41542], _41542))], clausify(sequential_pairs_and_triangles)).
% 0.36/1.42 cnf(5, plain, [-(number_of_in(sequential_pairs, _41542) = number_of_in(triangles, _41542)), path(_41639, _41735, _41542), -(on_path(8 ^ [_41735, _41639, _41542], _41542))], clausify(sequential_pairs_and_triangles)).
% 0.36/1.42 cnf(6, plain, [-(number_of_in(sequential_pairs, _41542) = number_of_in(triangles, _41542)), path(_41639, _41735, _41542), -(sequential(7 ^ [_41735, _41639, _41542], 8 ^ [_41735, _41639, _41542]))], clausify(sequential_pairs_and_triangles)).
% 0.36/1.42 cnf(7, plain, [-(number_of_in(sequential_pairs, _41542) = number_of_in(triangles, _41542)), path(_41639, _41735, _41542), triangle(7 ^ [_41735, _41639, _41542], 8 ^ [_41735, _41639, _41542], _48343)], clausify(sequential_pairs_and_triangles)).
% 0.36/1.42
% 0.36/1.42 cnf('1',plain,[number_of_in(sequential_pairs, 9 ^ []) = number_of_in(triangles, 9 ^ [])],start(1)).
% 0.36/1.42 cnf('1.1',plain,[-(number_of_in(sequential_pairs, 9 ^ []) = number_of_in(triangles, 9 ^ [])), path(10 ^ [], 11 ^ [], 9 ^ []), -(on_path(7 ^ [11 ^ [], 10 ^ [], 9 ^ []], 9 ^ []))],extension(4,bind([[_41735, _41639, _41542], [11 ^ [], 10 ^ [], 9 ^ []]]))).
% 0.36/1.42 cnf('1.1.1',plain,[-(path(10 ^ [], 11 ^ [], 9 ^ []))],extension(2)).
% 0.36/1.42 cnf('1.1.2',plain,[on_path(7 ^ [11 ^ [], 10 ^ [], 9 ^ []], 9 ^ []), -(triangle(7 ^ [11 ^ [], 10 ^ [], 9 ^ []], 8 ^ [11 ^ [], 10 ^ [], 9 ^ []], 12 ^ [8 ^ [11 ^ [], 10 ^ [], 9 ^ []], 7 ^ [11 ^ [], 10 ^ [], 9 ^ []]])), on_path(8 ^ [11 ^ [], 10 ^ [], 9 ^ []], 9 ^ []), sequential(7 ^ [11 ^ [], 10 ^ [], 9 ^ []], 8 ^ [11 ^ [], 10 ^ [], 9 ^ []])],extension(3,bind([[_52759, _52764], [7 ^ [11 ^ [], 10 ^ [], 9 ^ []], 8 ^ [11 ^ [], 10 ^ [], 9 ^ []]]]))).
% 0.36/1.42 cnf('1.1.2.1',plain,[triangle(7 ^ [11 ^ [], 10 ^ [], 9 ^ []], 8 ^ [11 ^ [], 10 ^ [], 9 ^ []], 12 ^ [8 ^ [11 ^ [], 10 ^ [], 9 ^ []], 7 ^ [11 ^ [], 10 ^ [], 9 ^ []]]), -(number_of_in(sequential_pairs, 9 ^ []) = number_of_in(triangles, 9 ^ [])), path(10 ^ [], 11 ^ [], 9 ^ [])],extension(7,bind([[_48343, _41639, _41735, _41542], [12 ^ [8 ^ [11 ^ [], 10 ^ [], 9 ^ []], 7 ^ [11 ^ [], 10 ^ [], 9 ^ []]], 10 ^ [], 11 ^ [], 9 ^ []]]))).
% 0.36/1.42 cnf('1.1.2.1.1',plain,[number_of_in(sequential_pairs, 9 ^ []) = number_of_in(triangles, 9 ^ [])],extension(1)).
% 0.36/1.42 cnf('1.1.2.1.2',plain,[-(path(10 ^ [], 11 ^ [], 9 ^ []))],extension(2)).
% 0.36/1.42 cnf('1.1.2.2',plain,[-(on_path(8 ^ [11 ^ [], 10 ^ [], 9 ^ []], 9 ^ [])), -(number_of_in(sequential_pairs, 9 ^ []) = number_of_in(triangles, 9 ^ [])), path(10 ^ [], 11 ^ [], 9 ^ [])],extension(5,bind([[_41639, _41735, _41542], [10 ^ [], 11 ^ [], 9 ^ []]]))).
% 0.36/1.42 cnf('1.1.2.2.1',plain,[number_of_in(sequential_pairs, 9 ^ []) = number_of_in(triangles, 9 ^ [])],extension(1)).
% 0.36/1.42 cnf('1.1.2.2.2',plain,[-(path(10 ^ [], 11 ^ [], 9 ^ []))],extension(2)).
% 0.36/1.42 cnf('1.1.2.3',plain,[-(sequential(7 ^ [11 ^ [], 10 ^ [], 9 ^ []], 8 ^ [11 ^ [], 10 ^ [], 9 ^ []])), -(number_of_in(sequential_pairs, 9 ^ []) = number_of_in(triangles, 9 ^ [])), path(10 ^ [], 11 ^ [], 9 ^ [])],extension(6,bind([[_41639, _41735, _41542], [10 ^ [], 11 ^ [], 9 ^ []]]))).
% 0.36/1.42 cnf('1.1.2.3.1',plain,[number_of_in(sequential_pairs, 9 ^ []) = number_of_in(triangles, 9 ^ [])],extension(1)).
% 0.36/1.42 cnf('1.1.2.3.2',plain,[-(path(10 ^ [], 11 ^ [], 9 ^ []))],extension(2)).
% 0.36/1.42 %-----------------------------------------------------
% 0.36/1.43
% 0.36/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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