%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : BOO018-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n027.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 14:00:58 EDT 2024

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : BOO018-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n027.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Mar 21 01:20:46 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.35  % SZS output start Proof for theBenchmark
% 0.13/0.35  
% 0.13/0.35  % Problem matrix:
% 0.13/0.35  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.35  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.35  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.35  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( add(__eqx_0, __eqx_1) = add(__eqy_0, __eqy_1)) )).
% 0.13/0.35  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( multiply(__eqx_0, __eqx_1) = multiply(__eqy_0, __eqy_1)) )).
% 0.13/0.35  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( inverse(__eqx_0) = inverse(__eqy_0)) )).
% 0.13/0.35  cnf(matrix-6, plain, ( ( add(X, Y) = add(Y, X)) )).
% 0.13/0.35  cnf(matrix-7, plain, ( ( multiply(X, Y) = multiply(Y, X)) )).
% 0.13/0.35  cnf(matrix-8, plain, ( ( add(X, multiply(Y, Z)) = multiply(add(X, Y), add(X, Z))) )).
% 0.13/0.35  cnf(matrix-9, plain, ( ( multiply(X, add(Y, Z)) = add(multiply(X, Y), multiply(X, Z))) )).
% 0.13/0.35  cnf(matrix-10, plain, ( ( add(X, additive_identity) = X) )).
% 0.13/0.35  cnf(matrix-11, plain, ( ( multiply(X, multiplicative_identity) = X) )).
% 0.13/0.35  cnf(matrix-12, plain, ( ( add(X, inverse(X)) = multiplicative_identity) )).
% 0.13/0.35  cnf(matrix-13, plain, ( ( multiply(X, inverse(X)) = additive_identity) )).
% 0.13/0.35  cnf(matrix-14, plain, ( ( inverse(multiplicative_identity) != additive_identity) )).
% 0.13/0.35  
% 0.13/0.35  % Proof stack:
% 0.13/0.35  cnf(proof-stack, plain, 
% 0.13/0.35  proof_stack(
% 0.13/0.35  start(14), 
% 0.13/0.35  left_branch(0, 2, 2, 2), 
% 0.13/0.35  left_branch(0, 1, 1, 3), 
% 0.13/0.35  left_branch(0, 11, 0, 4), 
% 0.13/0.35  right_branch(4), 
% 0.13/0.35  right_branch(3), 
% 0.13/0.35  left_branch(0, 2, 2, 4), 
% 0.13/0.35  left_branch(0, 7, 0, 5), 
% 0.13/0.35  right_branch(5), 
% 0.13/0.35  left_branch(0, 13, 0, 6), 
% 0.13/0.35  right_branch(6), 
% 0.13/0.35  right_branch(4), 
% 0.13/0.35  right_branch(2)
% 0.13/0.35  )).
% 0.13/0.35  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------