%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : GRP457-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n031.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 09:04:35 EST 2024

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GRP457-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n031.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 : Mon Mar  4 08:18:32 EST 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.34  % SZS output start Proof for theBenchmark
% 0.12/0.34  
% 0.12/0.34  % Problem matrix:
% 0.12/0.34  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.34  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.34  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.34  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( divide(__eqx_0, __eqx_1) = divide(__eqy_0, __eqy_1)) )).
% 0.12/0.34  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( multiply(__eqx_0, __eqx_1) = multiply(__eqy_0, __eqy_1)) )).
% 0.12/0.34  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( inverse(__eqx_0) = inverse(__eqy_0)) )).
% 0.12/0.34  cnf(matrix-6, plain, ( ( divide(divide(divide(A, A), divide(A, divide(B, divide(divide(identity, A), C)))), C) = B) )).
% 0.12/0.34  cnf(matrix-7, plain, ( ( multiply(A, B) = divide(A, divide(identity, B))) )).
% 0.12/0.34  cnf(matrix-8, plain, ( ( inverse(A) = divide(identity, A)) )).
% 0.12/0.34  cnf(matrix-9, plain, ( ( identity = divide(A, A)) )).
% 0.12/0.34  cnf(matrix-10, plain, ( ( multiply(inverse(a1), a1) != identity) )).
% 0.12/0.34  
% 0.12/0.34  % Proof stack:
% 0.12/0.34  cnf(proof-stack, plain, 
% 0.12/0.34  proof_stack(
% 0.12/0.34  start(10), 
% 0.12/0.34  left_branch(0, 2, 2, 2), 
% 0.12/0.34  left_branch(0, 7, 0, 3), 
% 0.12/0.34  right_branch(3), 
% 0.12/0.34  left_branch(0, 2, 2, 4), 
% 0.12/0.34  left_branch(0, 3, 2, 5), 
% 0.12/0.34  left_branch(0, 8, 0, 6), 
% 0.12/0.34  right_branch(6), 
% 0.12/0.34  left_branch(0, 0, 0, 7), 
% 0.12/0.34  right_branch(7), 
% 0.12/0.34  right_branch(5), 
% 0.12/0.34  left_branch(0, 1, 1, 6), 
% 0.12/0.34  left_branch(0, 9, 0, 7), 
% 0.12/0.34  right_branch(7), 
% 0.12/0.34  right_branch(6), 
% 0.12/0.34  right_branch(4), 
% 0.12/0.34  right_branch(2)
% 0.12/0.34  )).
% 0.12/0.34  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------