TSTP Solution File: FLD031-1 by ConnectPP---0.3.0
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- Process Solution
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% File : ConnectPP---0.3.0
% Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n008.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 14:11:01 EDT 2024
% Result : Unsatisfiable 12.94s 13.11s
% Output : Proof 12.94s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Mar 21 02:13:58 EDT 2024
% 0.13/0.33 % CPUTime :
% 12.94/13.11 % SZS status Unsatisfiable for theBenchmark
% 12.94/13.11 % SZS output start Proof for theBenchmark
% 12.94/13.11
% 12.94/13.11 % Problem matrix:
% 12.94/13.11 cnf(matrix-0, plain, ( equalish(add(X, add(Y, Z)), add(add(X, Y), Z)) | ~defined(X) | ~defined(Y) | ~defined(Z) )).
% 12.94/13.11 cnf(matrix-1, plain, ( equalish(add(additive_identity, X), X) | ~defined(X) )).
% 12.94/13.11 cnf(matrix-2, plain, ( equalish(add(X, additive_inverse(X)), additive_identity) | ~defined(X) )).
% 12.94/13.11 cnf(matrix-3, plain, ( equalish(add(X, Y), add(Y, X)) | ~defined(X) | ~defined(Y) )).
% 12.94/13.11 cnf(matrix-4, plain, ( equalish(multiply(X, multiply(Y, Z)), multiply(multiply(X, Y), Z)) | ~defined(X) | ~defined(Y) | ~defined(Z) )).
% 12.94/13.11 cnf(matrix-5, plain, ( equalish(multiply(multiplicative_identity, X), X) | ~defined(X) )).
% 12.94/13.11 cnf(matrix-6, plain, ( equalish(multiply(X, multiplicative_inverse(X)), multiplicative_identity) | ~defined(X) | equalish(X, additive_identity) )).
% 12.94/13.11 cnf(matrix-7, plain, ( equalish(multiply(X, Y), multiply(Y, X)) | ~defined(X) | ~defined(Y) )).
% 12.94/13.11 cnf(matrix-8, plain, ( equalish(add(multiply(X, Z), multiply(Y, Z)), multiply(add(X, Y), Z)) | ~defined(X) | ~defined(Y) | ~defined(Z) )).
% 12.94/13.11 cnf(matrix-9, plain, ( defined(add(X, Y)) | ~defined(X) | ~defined(Y) )).
% 12.94/13.11 cnf(matrix-10, plain, ( defined(additive_identity) )).
% 12.94/13.11 cnf(matrix-11, plain, ( defined(additive_inverse(X)) | ~defined(X) )).
% 12.94/13.11 cnf(matrix-12, plain, ( defined(multiply(X, Y)) | ~defined(X) | ~defined(Y) )).
% 12.94/13.11 cnf(matrix-13, plain, ( defined(multiplicative_identity) )).
% 12.94/13.11 cnf(matrix-14, plain, ( defined(multiplicative_inverse(X)) | ~defined(X) | equalish(X, additive_identity) )).
% 12.94/13.11 cnf(matrix-15, plain, ( equalish(X, Y) | ~less_or_equal(X, Y) | ~less_or_equal(Y, X) )).
% 12.94/13.11 cnf(matrix-16, plain, ( less_or_equal(X, Z) | ~less_or_equal(X, Y) | ~less_or_equal(Y, Z) )).
% 12.94/13.11 cnf(matrix-17, plain, ( less_or_equal(X, Y) | less_or_equal(Y, X) | ~defined(X) | ~defined(Y) )).
% 12.94/13.11 cnf(matrix-18, plain, ( less_or_equal(add(X, Z), add(Y, Z)) | ~defined(Z) | ~less_or_equal(X, Y) )).
% 12.94/13.11 cnf(matrix-19, plain, ( less_or_equal(additive_identity, multiply(Y, Z)) | ~less_or_equal(additive_identity, Y) | ~less_or_equal(additive_identity, Z) )).
% 12.94/13.11 cnf(matrix-20, plain, ( equalish(X, X) | ~defined(X) )).
% 12.94/13.11 cnf(matrix-21, plain, ( equalish(X, Y) | ~equalish(Y, X) )).
% 12.94/13.11 cnf(matrix-22, plain, ( equalish(X, Z) | ~equalish(X, Y) | ~equalish(Y, Z) )).
% 12.94/13.11 cnf(matrix-23, plain, ( equalish(add(X, Z), add(Y, Z)) | ~defined(Z) | ~equalish(X, Y) )).
% 12.94/13.11 cnf(matrix-24, plain, ( equalish(multiply(X, Z), multiply(Y, Z)) | ~defined(Z) | ~equalish(X, Y) )).
% 12.94/13.11 cnf(matrix-25, plain, ( less_or_equal(Y, Z) | ~less_or_equal(X, Z) | ~equalish(X, Y) )).
% 12.94/13.11 cnf(matrix-26, plain, ( ~equalish(additive_identity, multiplicative_identity) )).
% 12.94/13.11 cnf(matrix-27, plain, ( defined(a) )).
% 12.94/13.11 cnf(matrix-28, plain, ( equalish(a, multiplicative_identity) )).
% 12.94/13.11 cnf(matrix-29, plain, ( ~equalish(a, additive_identity) )).
% 12.94/13.11 cnf(matrix-30, plain, ( ~equalish(multiplicative_inverse(a), multiplicative_identity) )).
% 12.94/13.11
% 12.94/13.11 % Proof stack:
% 12.94/13.11 cnf(proof-stack, plain,
% 12.94/13.11 proof_stack(
% 12.94/13.11 start(28),
% 12.94/13.11 left_branch(0, 24, 2, 2),
% 12.94/13.11 left_branch(0, 22, 1, 3),
% 12.94/13.11 left_branch(0, 21, 1, 4),
% 12.94/13.11 left_branch(0, 22, 1, 5),
% 12.94/13.11 left_branch(0, 30, 0, 6),
% 12.94/13.11 right_branch(6),
% 12.94/13.11 left_branch(0, 6, 0, 7),
% 12.94/13.11 left_branch(0, 29, 0, 8),
% 12.94/13.11 right_branch(8),
% 12.94/13.11 left_branch(0, 27, 0, 9),
% 12.94/13.11 right_branch(9),
% 12.94/13.11 right_branch(7),
% 12.94/13.11 right_branch(5),
% 12.94/13.11 right_branch(4),
% 12.94/13.11 left_branch(0, 5, 0, 5),
% 12.94/13.11 left_branch(0, 14, 0, 6),
% 12.94/13.11 left_branch(0, 29, 0, 7),
% 12.94/13.11 right_branch(7),
% 12.94/13.11 left_branch(0, 27, 0, 8),
% 12.94/13.11 right_branch(8),
% 12.94/13.11 right_branch(6),
% 12.94/13.11 right_branch(5),
% 12.94/13.11 right_branch(3),
% 12.94/13.11 left_branch(0, 14, 0, 4),
% 12.94/13.11 left_branch(0, 29, 0, 5),
% 12.94/13.11 right_branch(5),
% 12.94/13.11 left_branch(0, 27, 0, 6),
% 12.94/13.11 right_branch(6),
% 12.94/13.11 right_branch(4),
% 12.94/13.11 right_branch(2)
% 12.94/13.11 )).
% 12.94/13.11 % SZS output end Proof for theBenchmark
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