%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : HEN007-4 : 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 : n002.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 09:05:12 EST 2024

% Result   : Unsatisfiable 0.21s 0.36s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 : Sun Mar  3 13:44:41 EST 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.36  % SZS output start Proof for theBenchmark
% 0.21/0.36  
% 0.21/0.36  % Problem matrix:
% 0.21/0.36  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.21/0.36  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.21/0.36  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.21/0.36  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( divide(__eqx_0, __eqx_1) = divide(__eqy_0, __eqy_1)) )).
% 0.21/0.36  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less_equal(__eqx_0, __eqx_1) | less_equal(__eqy_0, __eqy_1) )).
% 0.21/0.36  cnf(matrix-5, plain, ( ~less_equal(X, Y) | ( divide(X, Y) = zero) )).
% 0.21/0.36  cnf(matrix-6, plain, ( ( divide(X, Y) != zero) | less_equal(X, Y) )).
% 0.21/0.36  cnf(matrix-7, plain, ( less_equal(divide(X, Y), X) )).
% 0.21/0.36  cnf(matrix-8, plain, ( less_equal(divide(divide(X, Z), divide(Y, Z)), divide(divide(X, Y), Z)) )).
% 0.21/0.36  cnf(matrix-9, plain, ( less_equal(zero, X) )).
% 0.21/0.36  cnf(matrix-10, plain, ( ~less_equal(X, Y) | ~less_equal(Y, X) | ( X = Y) )).
% 0.21/0.36  cnf(matrix-11, plain, ( less_equal(X, identity) )).
% 0.21/0.36  cnf(matrix-12, plain, ( ( divide(X, identity) = zero) )).
% 0.21/0.36  cnf(matrix-13, plain, ( ( divide(zero, X) = zero) )).
% 0.21/0.36  cnf(matrix-14, plain, ( ( divide(X, X) = zero) )).
% 0.21/0.36  cnf(matrix-15, plain, ( ( divide(a, zero) = a) )).
% 0.21/0.36  cnf(matrix-16, plain, ( ~less_equal(X, Y) | ~less_equal(Y, Z) | less_equal(X, Z) )).
% 0.21/0.36  cnf(matrix-17, plain, ( ~less_equal(divide(X, Y), Z) | less_equal(divide(X, Z), Y) )).
% 0.21/0.36  cnf(matrix-18, plain, ( less_equal(a, b) )).
% 0.21/0.36  cnf(matrix-19, plain, ( ~less_equal(divide(c, b), divide(c, a)) )).
% 0.21/0.36  
% 0.21/0.36  % Proof stack:
% 0.21/0.36  cnf(proof-stack, plain, 
% 0.21/0.36  proof_stack(
% 0.21/0.36  start(19), 
% 0.21/0.36  left_branch(0, 17, 1, 2), 
% 0.21/0.36  left_branch(0, 16, 2, 3), 
% 0.21/0.36  left_branch(0, 17, 1, 4), 
% 0.21/0.36  left_branch(0, 6, 1, 5), 
% 0.21/0.36  left_branch(0, 14, 0, 6), 
% 0.21/0.36  right_branch(6), 
% 0.21/0.36  right_branch(5), 
% 0.21/0.36  right_branch(4), 
% 0.21/0.36  left_branch(0, 18, 0, 5), 
% 0.21/0.36  right_branch(5), 
% 0.21/0.36  right_branch(3), 
% 0.21/0.36  right_branch(2)
% 0.21/0.36  )).
% 0.21/0.36  % SZS output end Proof for theBenchmark
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