TSTP Solution File: GRP033-3 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : GRP033-3 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n016.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 : Wed Mar 6 09:03:56 EST 2024
% Result : Unsatisfiable 0.19s 0.54s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP033-3 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n016.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 : Mon Mar 4 08:29:00 EST 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% 0.19/0.54
% 0.19/0.54 % Problem matrix:
% 0.19/0.54 cnf(matrix-0, plain, ( equalish(X, X) )).
% 0.19/0.54 cnf(matrix-1, plain, ( ~equalish(X, Y) | equalish(Y, X) )).
% 0.19/0.54 cnf(matrix-2, plain, ( ~equalish(X, Y) | ~equalish(Y, Z) | equalish(X, Z) )).
% 0.19/0.54 cnf(matrix-3, plain, ( ~equalish(X, Y) | equalish(inverse(X), inverse(Y)) )).
% 0.19/0.54 cnf(matrix-4, plain, ( ~equalish(X, Y) | equalish(multiply(X, W), multiply(Y, W)) )).
% 0.19/0.54 cnf(matrix-5, plain, ( ~equalish(X, Y) | equalish(multiply(W, X), multiply(W, Y)) )).
% 0.19/0.54 cnf(matrix-6, plain, ( ~equalish(X, Y) | ~product(X, W, Z) | product(Y, W, Z) )).
% 0.19/0.54 cnf(matrix-7, plain, ( ~equalish(X, Y) | ~product(W, X, Z) | product(W, Y, Z) )).
% 0.19/0.54 cnf(matrix-8, plain, ( ~equalish(X, Y) | ~product(W, Z, X) | product(W, Z, Y) )).
% 0.19/0.54 cnf(matrix-9, plain, ( ~equalish(A, B) | ~subgroup_member(A) | subgroup_member(B) )).
% 0.19/0.54 cnf(matrix-10, plain, ( product(identity, X, X) )).
% 0.19/0.54 cnf(matrix-11, plain, ( product(X, identity, X) )).
% 0.19/0.54 cnf(matrix-12, plain, ( product(inverse(X), X, identity) )).
% 0.19/0.54 cnf(matrix-13, plain, ( product(X, inverse(X), identity) )).
% 0.19/0.54 cnf(matrix-14, plain, ( product(X, Y, multiply(X, Y)) )).
% 0.19/0.54 cnf(matrix-15, plain, ( ~product(X, Y, Z) | ~product(X, Y, W) | equalish(Z, W) )).
% 0.19/0.54 cnf(matrix-16, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(U, Z, W) | product(X, V, W) )).
% 0.19/0.54 cnf(matrix-17, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(X, V, W) | product(U, Z, W) )).
% 0.19/0.54 cnf(matrix-18, plain, ( ~subgroup_member(A) | ~subgroup_member(B) | ~product(A, inverse(B), C) | subgroup_member(C) )).
% 0.19/0.54 cnf(matrix-19, plain, ( subgroup_member(a) )).
% 0.19/0.54 cnf(matrix-20, plain, ( ~subgroup_member(A) | subgroup_member(j(A)) )).
% 0.19/0.54 cnf(matrix-21, plain, ( ~product(j(A), A, j(A)) | ~product(A, j(A), j(A)) | ~subgroup_member(A) )).
% 0.19/0.54
% 0.19/0.54 % Proof stack:
% 0.19/0.54 cnf(proof-stack, plain,
% 0.19/0.54 proof_stack(
% 0.19/0.54 start(21),
% 0.19/0.54 left_branch(0, 17, 3, 2),
% 0.19/0.54 left_branch(0, 11, 0, 3),
% 0.19/0.54 right_branch(3),
% 0.19/0.54 left_branch(0, 11, 0, 4),
% 0.19/0.54 right_branch(4),
% 0.19/0.54 left_branch(0, 11, 0, 5),
% 0.19/0.54 right_branch(5),
% 0.19/0.54 right_branch(2),
% 0.19/0.54 left_branch(0, 18, 3, 3),
% 0.19/0.54 left_branch(0, 19, 0, 4),
% 0.19/0.54 right_branch(4),
% 0.19/0.54 left_branch(0, 13, 0, 5),
% 0.19/0.54 right_branch(5),
% 0.19/0.54 lemmata(0, 1),
% 0.19/0.54 right_branch(3),
% 0.19/0.54 left_branch(0, 17, 3, 4),
% 0.19/0.54 left_branch(0, 13, 0, 5),
% 0.19/0.54 right_branch(5),
% 0.19/0.54 left_branch(0, 11, 0, 6),
% 0.19/0.54 right_branch(6),
% 0.19/0.54 left_branch(0, 12, 0, 7),
% 0.19/0.54 right_branch(7),
% 0.19/0.54 right_branch(4)
% 0.19/0.54 )).
% 0.19/0.54 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------