TSTP Solution File: FLD013-3 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : FLD013-3 : 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 : n017.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 09:02:02 EST 2024
% Result : Unsatisfiable 0.77s 0.98s
% Output : Proof 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n017.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 : Mon Mar 4 02:18:43 EST 2024
% 0.13/0.33 % CPUTime :
% 0.77/0.98 % SZS status Unsatisfiable for theBenchmark
% 0.77/0.98 % SZS output start Proof for theBenchmark
% 0.77/0.98
% 0.77/0.98 % Problem matrix:
% 0.77/0.98 cnf(matrix-0, plain, ( sum(X, V, W) | ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(U, Z, W) )).
% 0.77/0.98 cnf(matrix-1, plain, ( sum(U, Z, W) | ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(X, V, W) )).
% 0.77/0.98 cnf(matrix-2, plain, ( sum(additive_identity, X, X) | ~defined(X) )).
% 0.77/0.98 cnf(matrix-3, plain, ( sum(additive_inverse(X), X, additive_identity) | ~defined(X) )).
% 0.77/0.98 cnf(matrix-4, plain, ( sum(Y, X, Z) | ~sum(X, Y, Z) )).
% 0.77/0.98 cnf(matrix-5, plain, ( product(X, V, W) | ~product(X, Y, U) | ~product(Y, Z, V) | ~product(U, Z, W) )).
% 0.77/0.98 cnf(matrix-6, plain, ( product(U, Z, W) | ~product(X, Y, U) | ~product(Y, Z, V) | ~product(X, V, W) )).
% 0.77/0.98 cnf(matrix-7, plain, ( product(multiplicative_identity, X, X) | ~defined(X) )).
% 0.77/0.98 cnf(matrix-8, plain, ( product(multiplicative_inverse(X), X, multiplicative_identity) | sum(additive_identity, X, additive_identity) | ~defined(X) )).
% 0.77/0.98 cnf(matrix-9, plain, ( product(Y, X, Z) | ~product(X, Y, Z) )).
% 0.77/0.98 cnf(matrix-10, plain, ( sum(C, D, B) | ~sum(X, Y, A) | ~product(A, Z, B) | ~product(X, Z, C) | ~product(Y, Z, D) )).
% 0.77/0.98 cnf(matrix-11, plain, ( product(A, Z, B) | ~sum(X, Y, A) | ~product(X, Z, C) | ~product(Y, Z, D) | ~sum(C, D, B) )).
% 0.77/0.98 cnf(matrix-12, plain, ( defined(add(X, Y)) | ~defined(X) | ~defined(Y) )).
% 0.77/0.98 cnf(matrix-13, plain, ( defined(additive_identity) )).
% 0.77/0.98 cnf(matrix-14, plain, ( defined(additive_inverse(X)) | ~defined(X) )).
% 0.77/0.98 cnf(matrix-15, plain, ( defined(multiply(X, Y)) | ~defined(X) | ~defined(Y) )).
% 0.77/0.98 cnf(matrix-16, plain, ( defined(multiplicative_identity) )).
% 0.77/0.98 cnf(matrix-17, plain, ( defined(multiplicative_inverse(X)) | ~defined(X) | sum(additive_identity, X, additive_identity) )).
% 0.77/0.98 cnf(matrix-18, plain, ( sum(X, Y, add(X, Y)) | ~defined(X) | ~defined(Y) )).
% 0.77/0.98 cnf(matrix-19, plain, ( product(X, Y, multiply(X, Y)) | ~defined(X) | ~defined(Y) )).
% 0.77/0.98 cnf(matrix-20, plain, ( sum(additive_identity, X, Y) | ~less_or_equal(X, Y) | ~less_or_equal(Y, X) )).
% 0.77/0.98 cnf(matrix-21, plain, ( less_or_equal(X, Z) | ~less_or_equal(X, Y) | ~less_or_equal(Y, Z) )).
% 0.77/0.98 cnf(matrix-22, plain, ( less_or_equal(X, Y) | less_or_equal(Y, X) | ~defined(X) | ~defined(Y) )).
% 0.77/0.98 cnf(matrix-23, plain, ( less_or_equal(U, V) | ~less_or_equal(X, Y) | ~sum(X, Z, U) | ~sum(Y, Z, V) )).
% 0.77/0.98 cnf(matrix-24, plain, ( less_or_equal(additive_identity, Z) | ~less_or_equal(additive_identity, X) | ~less_or_equal(additive_identity, Y) | ~product(X, Y, Z) )).
% 0.77/0.98 cnf(matrix-25, plain, ( ~sum(additive_identity, additive_identity, multiplicative_identity) )).
% 0.77/0.98 cnf(matrix-26, plain, ( defined(a) )).
% 0.77/0.98 cnf(matrix-27, plain, ( defined(b) )).
% 0.77/0.98 cnf(matrix-28, plain, ( defined(c) )).
% 0.77/0.98 cnf(matrix-29, plain, ( defined(d) )).
% 0.77/0.98 cnf(matrix-30, plain, ( sum(additive_identity, a, b) )).
% 0.77/0.98 cnf(matrix-31, plain, ( sum(additive_identity, c, d) )).
% 0.77/0.98 cnf(matrix-32, plain, ( ~sum(a, c, add(d, b)) )).
% 0.77/0.98
% 0.77/0.98 % Proof stack:
% 0.77/0.98 cnf(proof-stack, plain,
% 0.77/0.98 proof_stack(
% 0.77/0.98 start(32),
% 0.77/0.98 left_branch(0, 10, 0, 2),
% 0.77/0.98 left_branch(0, 11, 0, 3),
% 0.77/0.98 left_branch(0, 20, 0, 4),
% 0.77/0.98 left_branch(0, 22, 1, 5),
% 0.77/0.98 reduction(0, 3),
% 0.77/0.98 left_branch(0, 28, 0, 7),
% 0.77/0.98 right_branch(7),
% 0.77/0.98 lemmata(0, 1),
% 0.77/0.98 right_branch(5),
% 0.77/0.98 lemmata(0, 0),
% 0.77/0.98 right_branch(4),
% 0.77/0.98 left_branch(0, 9, 0, 5),
% 0.77/0.98 left_branch(0, 7, 0, 6),
% 0.77/0.98 left_branch(0, 28, 0, 7),
% 0.77/0.98 right_branch(7),
% 0.77/0.98 right_branch(6),
% 0.77/0.98 right_branch(5),
% 0.77/0.98 left_branch(0, 9, 0, 6),
% 0.77/0.98 left_branch(0, 7, 0, 7),
% 0.77/0.98 left_branch(0, 13, 0, 8),
% 0.77/0.98 right_branch(8),
% 0.77/0.98 right_branch(7),
% 0.77/0.98 right_branch(6),
% 0.77/0.98 left_branch(0, 31, 0, 7),
% 0.77/0.98 right_branch(7),
% 0.77/0.98 right_branch(3),
% 0.77/0.98 left_branch(0, 11, 0, 4),
% 0.77/0.98 left_branch(0, 20, 0, 5),
% 0.77/0.98 left_branch(0, 22, 1, 6),
% 0.77/0.98 reduction(0, 3),
% 0.77/0.98 left_branch(0, 26, 0, 8),
% 0.77/0.98 right_branch(8),
% 0.77/0.98 lemmata(0, 2),
% 0.77/0.98 right_branch(6),
% 0.77/0.98 lemmata(0, 1),
% 0.77/0.98 right_branch(5),
% 0.77/0.98 left_branch(0, 9, 0, 6),
% 0.77/0.98 left_branch(0, 7, 0, 7),
% 0.77/0.98 left_branch(0, 26, 0, 8),
% 0.77/0.98 right_branch(8),
% 0.77/0.98 right_branch(7),
% 0.77/0.98 right_branch(6),
% 0.77/0.98 left_branch(0, 9, 0, 7),
% 0.77/0.98 left_branch(0, 7, 0, 8),
% 0.77/0.98 left_branch(0, 13, 0, 9),
% 0.77/0.98 right_branch(9),
% 0.77/0.98 right_branch(8),
% 0.77/0.98 right_branch(7),
% 0.77/0.98 left_branch(0, 30, 0, 8),
% 0.77/0.98 right_branch(8),
% 0.77/0.98 right_branch(4),
% 0.77/0.98 left_branch(0, 11, 0, 5),
% 0.77/0.98 left_branch(0, 18, 0, 6),
% 0.77/0.98 left_branch(0, 27, 0, 7),
% 0.77/0.98 right_branch(7),
% 0.77/0.98 left_branch(0, 29, 0, 8),
% 0.77/0.98 right_branch(8),
% 0.77/0.98 right_branch(6),
% 0.77/0.98 left_branch(0, 9, 0, 7),
% 0.77/0.98 left_branch(0, 7, 0, 8),
% 0.77/0.98 left_branch(0, 27, 0, 9),
% 0.77/0.98 right_branch(9),
% 0.77/0.98 right_branch(8),
% 0.77/0.98 right_branch(7),
% 0.77/0.98 left_branch(0, 9, 0, 8),
% 0.77/0.98 left_branch(0, 7, 0, 9),
% 0.77/0.98 left_branch(0, 29, 0, 10),
% 0.77/0.98 right_branch(10),
% 0.77/0.98 right_branch(9),
% 0.77/0.98 right_branch(8),
% 0.77/0.98 left_branch(0, 18, 0, 9),
% 0.77/0.98 left_branch(0, 27, 0, 10),
% 0.77/0.98 right_branch(10),
% 0.77/0.98 left_branch(0, 29, 0, 11),
% 0.77/0.98 right_branch(11),
% 0.77/0.98 right_branch(9),
% 0.77/0.98 right_branch(5),
% 0.77/0.98 left_branch(0, 4, 0, 6),
% 0.77/0.98 left_branch(0, 18, 0, 7),
% 0.77/0.98 left_branch(0, 27, 0, 8),
% 0.77/0.98 right_branch(8),
% 0.77/0.98 left_branch(0, 29, 0, 9),
% 0.77/0.98 right_branch(9),
% 0.77/0.98 right_branch(7),
% 0.77/0.98 right_branch(6),
% 0.77/0.98 right_branch(2)
% 0.77/0.98 )).
% 0.77/0.98 % SZS output end Proof for theBenchmark
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