TSTP Solution File: GRP012-3 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GRP012-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n027.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 : Mon Mar 25 14:13:10 EDT 2024
% Result : Unsatisfiable 11.82s 12.00s
% Output : Proof 11.82s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Mar 21 07:07:31 EDT 2024
% 0.13/0.35 % CPUTime :
% 11.82/12.00 % SZS status Unsatisfiable for theBenchmark
% 11.82/12.00 % SZS output start Proof for theBenchmark
% 11.82/12.00
% 11.82/12.00 % Problem matrix:
% 11.82/12.00 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 11.82/12.00 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 11.82/12.00 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 11.82/12.00 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( inverse(__eqx_0) = inverse(__eqy_0)) )).
% 11.82/12.00 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( multiply(__eqx_0, __eqx_1) = multiply(__eqy_0, __eqy_1)) )).
% 11.82/12.00 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~product(__eqx_0, __eqx_1, __eqx_2) | product(__eqy_0, __eqy_1, __eqy_2) )).
% 11.82/12.00 cnf(matrix-6, plain, ( product(identity, X, X) )).
% 11.82/12.00 cnf(matrix-7, plain, ( product(X, identity, X) )).
% 11.82/12.00 cnf(matrix-8, plain, ( product(inverse(X), X, identity) )).
% 11.82/12.00 cnf(matrix-9, plain, ( product(X, inverse(X), identity) )).
% 11.82/12.00 cnf(matrix-10, plain, ( product(X, Y, multiply(X, Y)) )).
% 11.82/12.00 cnf(matrix-11, plain, ( ~product(X, Y, Z) | ~product(X, Y, W) | ( Z = W) )).
% 11.82/12.00 cnf(matrix-12, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(U, Z, W) | product(X, V, W) )).
% 11.82/12.00 cnf(matrix-13, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(X, V, W) | product(U, Z, W) )).
% 11.82/12.00 cnf(matrix-14, plain, ( ( inverse(multiply(a, b)) != multiply(inverse(b), inverse(a))) )).
% 11.82/12.00
% 11.82/12.00 % Proof stack:
% 11.82/12.00 cnf(proof-stack, plain,
% 11.82/12.00 proof_stack(
% 11.82/12.00 start(14),
% 11.82/12.00 left_branch(0, 11, 2, 2),
% 11.82/12.00 left_branch(0, 13, 3, 3),
% 11.82/12.00 left_branch(0, 13, 3, 4),
% 11.82/12.00 left_branch(0, 10, 0, 5),
% 11.82/12.00 right_branch(5),
% 11.82/12.00 left_branch(0, 10, 0, 6),
% 11.82/12.00 right_branch(6),
% 11.82/12.00 left_branch(0, 10, 0, 7),
% 11.82/12.00 right_branch(7),
% 11.82/12.00 right_branch(4),
% 11.82/12.00 left_branch(0, 13, 3, 5),
% 11.82/12.00 left_branch(0, 10, 0, 6),
% 11.82/12.00 right_branch(6),
% 11.82/12.00 left_branch(0, 7, 0, 7),
% 11.82/12.00 right_branch(7),
% 11.82/12.00 left_branch(0, 9, 0, 8),
% 11.82/12.00 right_branch(8),
% 11.82/12.00 right_branch(5),
% 11.82/12.00 left_branch(0, 12, 3, 6),
% 11.82/12.00 left_branch(0, 9, 0, 7),
% 11.82/12.00 right_branch(7),
% 11.82/12.00 left_branch(0, 6, 0, 8),
% 11.82/12.00 right_branch(8),
% 11.82/12.00 left_branch(0, 10, 0, 9),
% 11.82/12.00 right_branch(9),
% 11.82/12.00 right_branch(6),
% 11.82/12.00 right_branch(3),
% 11.82/12.00 left_branch(0, 13, 3, 4),
% 11.82/12.00 left_branch(0, 13, 3, 5),
% 11.82/12.00 left_branch(0, 8, 0, 6),
% 11.82/12.00 right_branch(6),
% 11.82/12.00 left_branch(0, 10, 0, 7),
% 11.82/12.00 right_branch(7),
% 11.82/12.00 left_branch(0, 7, 0, 8),
% 11.82/12.00 right_branch(8),
% 11.82/12.00 right_branch(5),
% 11.82/12.00 left_branch(0, 13, 3, 6),
% 11.82/12.00 left_branch(0, 9, 0, 7),
% 11.82/12.00 right_branch(7),
% 11.82/12.00 left_branch(0, 7, 0, 8),
% 11.82/12.00 right_branch(8),
% 11.82/12.00 left_branch(0, 9, 0, 9),
% 11.82/12.00 right_branch(9),
% 11.82/12.00 right_branch(6),
% 11.82/12.00 left_branch(0, 13, 3, 7),
% 11.82/12.00 left_branch(0, 8, 0, 8),
% 11.82/12.00 right_branch(8),
% 11.82/12.00 left_branch(0, 7, 0, 9),
% 11.82/12.00 right_branch(9),
% 11.82/12.00 left_branch(0, 8, 0, 10),
% 11.82/12.00 right_branch(10),
% 11.82/12.00 right_branch(7),
% 11.82/12.00 right_branch(4),
% 11.82/12.00 right_branch(2)
% 11.82/12.00 )).
% 11.82/12.00 % SZS output end Proof for theBenchmark
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