TSTP Solution File: ANA002-4 by ConnectPP---0.2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : ANA002-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n025.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 08:52:07 EST 2024

% Result   : Unsatisfiable 17.14s 17.30s
% Output   : Proof 17.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ANA002-4 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n025.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 : Sun Mar  3 18:00:40 EST 2024
% 0.12/0.33  % CPUTime  : 
% 17.14/17.30  % SZS status Unsatisfiable for theBenchmark
% 17.14/17.30  % SZS output start Proof for theBenchmark
% 17.14/17.30  
% 17.14/17.30  % Problem matrix:
% 17.14/17.30  cnf(matrix-0, plain, ( less_than_or_equal(X, X) )).
% 17.14/17.30  cnf(matrix-1, plain, ( less_than_or_equal(X, Y) | less_than_or_equal(Y, X) )).
% 17.14/17.30  cnf(matrix-2, plain, ( less_than_or_equal(X, Z) | ~less_than_or_equal(X, Y) | ~less_than_or_equal(Y, Z) )).
% 17.14/17.30  cnf(matrix-3, plain, ( ~less_than_or_equal(X, q(Y, X)) | less_than_or_equal(X, Y) )).
% 17.14/17.30  cnf(matrix-4, plain, ( ~less_than_or_equal(q(X, Y), X) | less_than_or_equal(Y, X) )).
% 17.14/17.30  cnf(matrix-5, plain, ( less_than_or_equal(f(X), n0) | ~less_than_or_equal(X, h(X)) | ~less_than_or_equal(lower_bound, X) | ~less_than_or_equal(X, upper_bound) )).
% 17.14/17.30  cnf(matrix-6, plain, ( less_than_or_equal(f(X), n0) | ~less_than_or_equal(Y, X) | ~less_than_or_equal(f(Y), n0) | less_than_or_equal(Y, h(X)) | ~less_than_or_equal(lower_bound, X) | ~less_than_or_equal(X, upper_bound) )).
% 17.14/17.30  cnf(matrix-7, plain, ( less_than_or_equal(n0, f(X)) | ~less_than_or_equal(k(X), X) | ~less_than_or_equal(lower_bound, X) | ~less_than_or_equal(X, upper_bound) )).
% 17.14/17.30  cnf(matrix-8, plain, ( less_than_or_equal(n0, f(X)) | ~less_than_or_equal(X, Y) | ~less_than_or_equal(n0, f(Y)) | less_than_or_equal(k(X), Y) | ~less_than_or_equal(lower_bound, X) | ~less_than_or_equal(X, upper_bound) )).
% 17.14/17.30  cnf(matrix-9, plain, ( less_than_or_equal(X, l) | ~less_than_or_equal(X, upper_bound) | ~less_than_or_equal(f(X), n0) )).
% 17.14/17.30  cnf(matrix-10, plain, ( less_than_or_equal(g(X), upper_bound) | less_than_or_equal(l, X) )).
% 17.14/17.30  cnf(matrix-11, plain, ( less_than_or_equal(f(g(X)), n0) | less_than_or_equal(l, X) )).
% 17.14/17.30  cnf(matrix-12, plain, ( ~less_than_or_equal(g(X), X) | less_than_or_equal(l, X) )).
% 17.14/17.30  cnf(matrix-13, plain, ( less_than_or_equal(lower_bound, upper_bound) )).
% 17.14/17.30  cnf(matrix-14, plain, ( less_than_or_equal(f(lower_bound), n0) )).
% 17.14/17.30  cnf(matrix-15, plain, ( less_than_or_equal(n0, f(upper_bound)) )).
% 17.14/17.30  cnf(matrix-16, plain, ( ~less_than_or_equal(f(l), n0) | ~less_than_or_equal(n0, f(l)) )).
% 17.14/17.30  
% 17.14/17.30  % Proof stack:
% 17.14/17.30  cnf(proof-stack, plain, 
% 17.14/17.30  proof_stack(
% 17.14/17.30  start(16), 
% 17.14/17.30  left_branch(0, 6, 0, 2), 
% 17.14/17.30  left_branch(0, 12, 1, 3), 
% 17.14/17.30  left_branch(0, 10, 0, 4), 
% 17.14/17.30  reduction(0, 1), 
% 17.14/17.30  right_branch(4), 
% 17.14/17.30  right_branch(3), 
% 17.14/17.30  left_branch(0, 9, 0, 4), 
% 17.14/17.30  left_branch(0, 14, 0, 5), 
% 17.14/17.30  right_branch(5), 
% 17.14/17.30  left_branch(0, 13, 0, 6), 
% 17.14/17.30  right_branch(6), 
% 17.14/17.30  right_branch(4), 
% 17.14/17.30  left_branch(0, 12, 0, 5), 
% 17.14/17.30  left_branch(0, 5, 1, 6), 
% 17.14/17.30  reduction(0, 0), 
% 17.14/17.30  lemmata(0, 1), 
% 17.14/17.30  lemmata(0, 0), 
% 17.14/17.30  right_branch(6), 
% 17.14/17.30  right_branch(5), 
% 17.14/17.30  left_branch(0, 11, 0, 6), 
% 17.14/17.30  left_branch(0, 5, 1, 7), 
% 17.14/17.30  reduction(0, 0), 
% 17.14/17.30  lemmata(0, 1), 
% 17.14/17.30  lemmata(0, 0), 
% 17.14/17.30  right_branch(7), 
% 17.14/17.30  right_branch(6), 
% 17.14/17.30  left_branch(0, 9, 0, 7), 
% 17.14/17.30  lemmata(0, 3), 
% 17.14/17.30  left_branch(0, 10, 0, 9), 
% 17.14/17.30  left_branch(0, 5, 1, 10), 
% 17.14/17.30  reduction(0, 0), 
% 17.14/17.30  lemmata(0, 1), 
% 17.14/17.30  lemmata(0, 0), 
% 17.14/17.30  right_branch(10), 
% 17.14/17.30  right_branch(9), 
% 17.14/17.30  right_branch(7), 
% 17.14/17.30  right_branch(2), 
% 17.14/17.30  left_branch(0, 7, 0, 3), 
% 17.14/17.30  left_branch(0, 12, 1, 4), 
% 17.14/17.30  left_branch(0, 10, 0, 5), 
% 17.14/17.30  reduction(0, 1), 
% 17.14/17.30  right_branch(5), 
% 17.14/17.30  right_branch(4), 
% 17.14/17.30  left_branch(0, 9, 0, 5), 
% 17.14/17.30  left_branch(0, 14, 0, 6), 
% 17.14/17.30  right_branch(6), 
% 17.14/17.30  left_branch(0, 13, 0, 7), 
% 17.14/17.30  right_branch(7), 
% 17.14/17.30  right_branch(5), 
% 17.14/17.30  left_branch(0, 4, 1, 6), 
% 17.14/17.30  left_branch(0, 9, 0, 7), 
% 17.14/17.30  left_branch(0, 1, 1, 8), 
% 17.14/17.30  left_branch(0, 8, 2, 9), 
% 17.14/17.30  reduction(0, 0), 
% 17.14/17.30  lemmata(0, 2), 
% 17.14/17.30  left_branch(0, 3, 0, 12), 
% 17.14/17.30  reduction(0, 1), 
% 17.14/17.30  right_branch(12), 
% 17.14/17.30  lemmata(0, 1), 
% 17.14/17.30  left_branch(0, 1, 1, 14), 
% 17.14/17.30  reduction(0, 2), 
% 17.14/17.30  right_branch(14), 
% 17.14/17.30  right_branch(9), 
% 17.14/17.30  right_branch(8), 
% 17.14/17.30  left_branch(0, 1, 1, 9), 
% 17.14/17.30  left_branch(0, 2, 2, 10), 
% 17.14/17.30  left_branch(0, 3, 0, 11), 
% 17.14/17.30  reduction(0, 1), 
% 17.14/17.30  right_branch(11), 
% 17.14/17.30  left_branch(0, 8, 3, 12), 
% 17.14/17.30  reduction(0, 0), 
% 17.14/17.30  lemmata(0, 2), 
% 17.14/17.30  lemmata(0, 1), 
% 17.14/17.30  left_branch(0, 15, 0, 16), 
% 17.14/17.30  right_branch(16), 
% 17.14/17.30  lemmata(0, 1), 
% 17.14/17.30  right_branch(12), 
% 17.14/17.30  right_branch(10), 
% 17.14/17.30  right_branch(9), 
% 17.14/17.30  right_branch(7), 
% 17.14/17.30  right_branch(6), 
% 17.14/17.30  right_branch(3)
% 17.14/17.30  )).
% 17.14/17.30  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------