TSTP Solution File: FLD049-4 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : FLD049-4 : 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 : n028.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 14:11:05 EDT 2024

% Result   : Unsatisfiable 18.09s 18.29s
% Output   : Proof 18.09s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD049-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n028.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 02:35:24 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 18.09/18.29  % SZS status Unsatisfiable for theBenchmark
% 18.09/18.29  % SZS output start Proof for theBenchmark
% 18.09/18.29  
% 18.09/18.29  % Problem matrix:
% 18.09/18.29  cnf(matrix-0, plain, ( sum(X, V, W) | ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(U, Z, W) )).
% 18.09/18.29  cnf(matrix-1, plain, ( sum(U, Z, W) | ~sum(X, Y, U) | ~sum(Y, Z, V) | ~sum(X, V, W) )).
% 18.09/18.29  cnf(matrix-2, plain, ( sum(additive_identity, X, X) | ~defined(X) )).
% 18.09/18.29  cnf(matrix-3, plain, ( sum(additive_inverse(X), X, additive_identity) | ~defined(X) )).
% 18.09/18.29  cnf(matrix-4, plain, ( sum(Y, X, Z) | ~sum(X, Y, Z) )).
% 18.09/18.29  cnf(matrix-5, plain, ( product(X, V, W) | ~product(X, Y, U) | ~product(Y, Z, V) | ~product(U, Z, W) )).
% 18.09/18.29  cnf(matrix-6, plain, ( product(U, Z, W) | ~product(X, Y, U) | ~product(Y, Z, V) | ~product(X, V, W) )).
% 18.09/18.29  cnf(matrix-7, plain, ( product(multiplicative_identity, X, X) | ~defined(X) )).
% 18.09/18.29  cnf(matrix-8, plain, ( product(multiplicative_inverse(X), X, multiplicative_identity) | sum(additive_identity, X, additive_identity) | ~defined(X) )).
% 18.09/18.29  cnf(matrix-9, plain, ( product(Y, X, Z) | ~product(X, Y, Z) )).
% 18.09/18.29  cnf(matrix-10, plain, ( sum(C, D, B) | ~sum(X, Y, A) | ~product(A, Z, B) | ~product(X, Z, C) | ~product(Y, Z, D) )).
% 18.09/18.29  cnf(matrix-11, plain, ( product(A, Z, B) | ~sum(X, Y, A) | ~product(X, Z, C) | ~product(Y, Z, D) | ~sum(C, D, B) )).
% 18.09/18.29  cnf(matrix-12, plain, ( defined(add(X, Y)) | ~defined(X) | ~defined(Y) )).
% 18.09/18.29  cnf(matrix-13, plain, ( defined(additive_identity) )).
% 18.09/18.29  cnf(matrix-14, plain, ( defined(additive_inverse(X)) | ~defined(X) )).
% 18.09/18.29  cnf(matrix-15, plain, ( defined(multiply(X, Y)) | ~defined(X) | ~defined(Y) )).
% 18.09/18.29  cnf(matrix-16, plain, ( defined(multiplicative_identity) )).
% 18.09/18.29  cnf(matrix-17, plain, ( defined(multiplicative_inverse(X)) | ~defined(X) | sum(additive_identity, X, additive_identity) )).
% 18.09/18.29  cnf(matrix-18, plain, ( sum(X, Y, add(X, Y)) | ~defined(X) | ~defined(Y) )).
% 18.09/18.29  cnf(matrix-19, plain, ( product(X, Y, multiply(X, Y)) | ~defined(X) | ~defined(Y) )).
% 18.09/18.29  cnf(matrix-20, plain, ( sum(additive_identity, X, Y) | ~less_or_equal(X, Y) | ~less_or_equal(Y, X) )).
% 18.09/18.29  cnf(matrix-21, plain, ( less_or_equal(X, Z) | ~less_or_equal(X, Y) | ~less_or_equal(Y, Z) )).
% 18.09/18.29  cnf(matrix-22, plain, ( less_or_equal(X, Y) | less_or_equal(Y, X) | ~defined(X) | ~defined(Y) )).
% 18.09/18.29  cnf(matrix-23, plain, ( less_or_equal(U, V) | ~less_or_equal(X, Y) | ~sum(X, Z, U) | ~sum(Y, Z, V) )).
% 18.09/18.29  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) )).
% 18.09/18.29  cnf(matrix-25, plain, ( ~sum(additive_identity, additive_identity, multiplicative_identity) )).
% 18.09/18.29  cnf(matrix-26, plain, ( defined(a) )).
% 18.09/18.29  cnf(matrix-27, plain, ( defined(b) )).
% 18.09/18.29  cnf(matrix-28, plain, ( defined(c) )).
% 18.09/18.29  cnf(matrix-29, plain, ( defined(d) )).
% 18.09/18.29  cnf(matrix-30, plain, ( defined(k) )).
% 18.09/18.29  cnf(matrix-31, plain, ( defined(s) )).
% 18.09/18.29  cnf(matrix-32, plain, ( ~sum(additive_identity, b, additive_identity) )).
% 18.09/18.29  cnf(matrix-33, plain, ( ~sum(additive_identity, d, additive_identity) )).
% 18.09/18.29  cnf(matrix-34, plain, ( product(a, multiplicative_inverse(b), s) )).
% 18.09/18.29  cnf(matrix-35, plain, ( product(c, multiplicative_inverse(d), s) )).
% 18.09/18.29  cnf(matrix-36, plain, ( product(a, d, k) )).
% 18.09/18.29  cnf(matrix-37, plain, ( ~product(b, c, k) )).
% 18.09/18.29  
% 18.09/18.29  % Proof stack:
% 18.09/18.29  cnf(proof-stack, plain, 
% 18.09/18.29  proof_stack(
% 18.09/18.29  start(36), 
% 18.09/18.29  left_branch(0, 5, 2, 2), 
% 18.09/18.29  left_branch(0, 5, 2, 3), 
% 18.09/18.29  left_branch(0, 37, 0, 4), 
% 18.09/18.29  right_branch(4), 
% 18.09/18.29  left_branch(0, 7, 0, 5), 
% 18.09/18.29  left_branch(0, 30, 0, 6), 
% 18.09/18.29  right_branch(6), 
% 18.09/18.29  right_branch(5), 
% 18.09/18.29  left_branch(0, 9, 0, 6), 
% 18.09/18.29  left_branch(0, 8, 0, 7), 
% 18.09/18.29  left_branch(0, 27, 0, 8), 
% 18.09/18.29  right_branch(8), 
% 18.09/18.29  left_branch(0, 32, 0, 9), 
% 18.09/18.29  right_branch(9), 
% 18.09/18.29  right_branch(7), 
% 18.09/18.29  right_branch(6), 
% 18.09/18.29  right_branch(3), 
% 18.09/18.29  left_branch(0, 6, 0, 4), 
% 18.09/18.29  left_branch(0, 9, 0, 5), 
% 18.09/18.29  left_branch(0, 7, 0, 6), 
% 18.09/18.29  left_branch(0, 28, 0, 7), 
% 18.09/18.29  right_branch(7), 
% 18.09/18.29  right_branch(6), 
% 18.09/18.29  right_branch(5), 
% 18.09/18.29  left_branch(0, 8, 0, 6), 
% 18.09/18.29  left_branch(0, 29, 0, 7), 
% 18.09/18.29  right_branch(7), 
% 18.09/18.29  left_branch(0, 33, 0, 8), 
% 18.09/18.29  right_branch(8), 
% 18.09/18.29  right_branch(6), 
% 18.09/18.29  left_branch(0, 35, 0, 7), 
% 18.09/18.29  right_branch(7), 
% 18.09/18.29  right_branch(4), 
% 18.09/18.29  left_branch(0, 9, 0, 5), 
% 18.09/18.29  left_branch(0, 34, 0, 6), 
% 18.09/18.29  right_branch(6), 
% 18.09/18.29  right_branch(5), 
% 18.09/18.29  right_branch(2)
% 18.09/18.29  )).
% 18.09/18.29  % SZS output end Proof for theBenchmark
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