TSTP Solution File: HEN010-4 by ConnectPP---0.3.0

View Problem - Process Solution

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% File     : ConnectPP---0.3.0
% Problem  : HEN010-4 : 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 : n016.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 14:14:54 EDT 2024

% Result   : Unsatisfiable 12.93s 13.18s
% Output   : Proof 13.03s
% 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  : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Mar 20 17:45:09 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 12.93/13.18  % SZS status Unsatisfiable for theBenchmark
% 12.93/13.18  % SZS output start Proof for theBenchmark
% 12.93/13.18  
% 12.93/13.18  % Problem matrix:
% 12.93/13.18  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.93/13.18  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.93/13.18  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.93/13.18  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( divide(__eqx_0, __eqx_1) = divide(__eqy_0, __eqy_1)) )).
% 12.93/13.18  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less_equal(__eqx_0, __eqx_1) | less_equal(__eqy_0, __eqy_1) )).
% 12.93/13.18  cnf(matrix-5, plain, ( ~less_equal(X, Y) | ( divide(X, Y) = zero) )).
% 12.93/13.18  cnf(matrix-6, plain, ( ( divide(X, Y) != zero) | less_equal(X, Y) )).
% 12.93/13.18  cnf(matrix-7, plain, ( less_equal(divide(X, Y), X) )).
% 12.93/13.18  cnf(matrix-8, plain, ( less_equal(divide(divide(X, Z), divide(Y, Z)), divide(divide(X, Y), Z)) )).
% 12.93/13.18  cnf(matrix-9, plain, ( less_equal(zero, X) )).
% 12.93/13.18  cnf(matrix-10, plain, ( ~less_equal(X, Y) | ~less_equal(Y, X) | ( X = Y) )).
% 12.93/13.18  cnf(matrix-11, plain, ( less_equal(X, identity) )).
% 12.93/13.18  cnf(matrix-12, plain, ( ( divide(X, identity) = zero) )).
% 12.93/13.18  cnf(matrix-13, plain, ( ( divide(zero, X) = zero) )).
% 12.93/13.18  cnf(matrix-14, plain, ( ( divide(X, X) = zero) )).
% 12.93/13.18  cnf(matrix-15, plain, ( ( divide(a, zero) = a) )).
% 12.93/13.18  cnf(matrix-16, plain, ( ~less_equal(X, Y) | ~less_equal(Y, Z) | less_equal(X, Z) )).
% 12.93/13.18  cnf(matrix-17, plain, ( ~less_equal(divide(X, Y), Z) | less_equal(divide(X, Z), Y) )).
% 12.93/13.18  cnf(matrix-18, plain, ( ~less_equal(X, Y) | less_equal(divide(Z, Y), divide(Z, X)) )).
% 12.93/13.18  cnf(matrix-19, plain, ( ~less_equal(X, Y) | less_equal(divide(X, Z), divide(Y, Z)) )).
% 12.93/13.18  cnf(matrix-20, plain, ( ( divide(identity, divide(identity, divide(identity, X))) = divide(identity, X)) )).
% 12.93/13.18  cnf(matrix-21, plain, ( ( divide(identity, a) != divide(divide(identity, a), divide(identity, divide(identity, a)))) )).
% 12.93/13.18  
% 12.93/13.18  % Proof stack:
% 12.93/13.18  cnf(proof-stack, plain, 
% 12.93/13.18  proof_stack(
% 12.93/13.18  start(21), 
% 12.93/13.18  left_branch(0, 10, 2, 2), 
% 12.93/13.18  left_branch(0, 4, 3, 3), 
% 12.93/13.18  left_branch(0, 20, 0, 4), 
% 12.93/13.18  right_branch(4), 
% 12.93/13.18  left_branch(0, 19, 1, 5), 
% 12.93/13.18  left_branch(0, 11, 0, 6), 
% 12.93/13.18  right_branch(6), 
% 12.93/13.18  right_branch(5), 
% 12.93/13.18  left_branch(0, 10, 2, 6), 
% 12.93/13.18  left_branch(0, 6, 1, 7), 
% 12.93/13.18  left_branch(0, 1, 1, 8), 
% 12.93/13.18  left_branch(0, 2, 2, 9), 
% 12.93/13.18  left_branch(0, 1, 1, 10), 
% 12.93/13.18  left_branch(0, 14, 0, 11), 
% 12.93/13.18  right_branch(11), 
% 12.93/13.18  right_branch(10), 
% 12.93/13.18  left_branch(0, 1, 1, 11), 
% 12.93/13.18  left_branch(0, 10, 2, 12), 
% 12.93/13.18  left_branch(0, 8, 0, 13), 
% 12.93/13.18  right_branch(13), 
% 12.93/13.18  left_branch(0, 17, 1, 14), 
% 12.93/13.18  left_branch(0, 7, 0, 15), 
% 12.93/13.18  right_branch(15), 
% 12.93/13.18  right_branch(14), 
% 12.93/13.18  right_branch(12), 
% 12.93/13.18  right_branch(11), 
% 12.93/13.18  right_branch(9), 
% 12.93/13.18  right_branch(8), 
% 12.93/13.18  right_branch(7), 
% 12.93/13.18  left_branch(0, 19, 1, 8), 
% 12.93/13.18  left_branch(0, 17, 1, 9), 
% 12.93/13.18  left_branch(0, 6, 1, 10), 
% 12.93/13.18  left_branch(0, 2, 2, 11), 
% 12.93/13.18  left_branch(0, 3, 2, 12), 
% 12.93/13.18  left_branch(0, 14, 0, 13), 
% 12.93/13.18  right_branch(13), 
% 12.93/13.18  left_branch(0, 1, 1, 14), 
% 12.93/13.18  left_branch(0, 15, 0, 15), 
% 12.93/13.18  right_branch(15), 
% 12.93/13.18  right_branch(14), 
% 12.93/13.18  right_branch(12), 
% 12.93/13.18  left_branch(0, 13, 0, 13), 
% 12.93/13.18  right_branch(13), 
% 12.93/13.18  right_branch(11), 
% 12.93/13.18  right_branch(10), 
% 12.93/13.18  right_branch(9), 
% 12.93/13.18  right_branch(8), 
% 12.93/13.18  right_branch(6), 
% 12.93/13.18  right_branch(3), 
% 12.93/13.18  left_branch(0, 17, 1, 4), 
% 12.93/13.18  left_branch(0, 19, 1, 5), 
% 13.03/13.18  left_branch(0, 11, 0, 6), 
% 13.03/13.18  right_branch(6), 
% 13.03/13.18  right_branch(5), 
% 13.03/13.18  right_branch(4), 
% 13.03/13.18  right_branch(2)
% 13.03/13.18  )).
% 13.03/13.18  % SZS output end Proof for theBenchmark
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