%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : GRP031-1 : 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 : n012.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 14:13:14 EDT 2024

% Result   : Unsatisfiable 0.18s 0.39s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP031-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n012.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 : Thu Mar 21 06:41:45 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.39  % SZS output start Proof for theBenchmark
% 0.18/0.39  
% 0.18/0.39  % Problem matrix:
% 0.18/0.39  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.18/0.39  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.18/0.39  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.18/0.39  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( multiply(__eqx_0, __eqx_1) = multiply(__eqy_0, __eqy_1)) )).
% 0.18/0.39  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( inverse(__eqx_0) = inverse(__eqy_0)) )).
% 0.18/0.39  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~product(__eqx_0, __eqx_1, __eqx_2) | product(__eqy_0, __eqy_1, __eqy_2) )).
% 0.18/0.39  cnf(matrix-6, plain, ( product(X, Y, multiply(X, Y)) )).
% 0.18/0.39  cnf(matrix-7, plain, ( ~product(X, Y, Z) | ~product(X, Y, W) | ( Z = W) )).
% 0.18/0.39  cnf(matrix-8, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(U, Z, W) | product(X, V, W) )).
% 0.18/0.39  cnf(matrix-9, plain, ( ~product(X, Y, U) | ~product(Y, Z, V) | ~product(X, V, W) | product(U, Z, W) )).
% 0.18/0.39  cnf(matrix-10, plain, ( product(identity, A, A) )).
% 0.18/0.39  cnf(matrix-11, plain, ( product(inverse(A), A, identity) )).
% 0.18/0.39  cnf(matrix-12, plain, ( ~product(a, A, identity) )).
% 0.18/0.39  
% 0.18/0.39  % Proof stack:
% 0.18/0.39  cnf(proof-stack, plain, 
% 0.18/0.39  proof_stack(
% 0.18/0.39  start(12), 
% 0.18/0.39  left_branch(0, 9, 3, 2), 
% 0.18/0.39  left_branch(0, 8, 3, 3), 
% 0.18/0.39  left_branch(0, 11, 0, 4), 
% 0.18/0.39  right_branch(4), 
% 0.18/0.39  left_branch(0, 10, 0, 5), 
% 0.18/0.39  right_branch(5), 
% 0.18/0.39  left_branch(0, 11, 0, 6), 
% 0.18/0.39  right_branch(6), 
% 0.18/0.39  right_branch(3), 
% 0.18/0.39  left_branch(0, 11, 0, 4), 
% 0.18/0.39  right_branch(4), 
% 0.18/0.39  left_branch(0, 10, 0, 5), 
% 0.18/0.39  right_branch(5), 
% 0.18/0.39  right_branch(2)
% 0.18/0.39  )).
% 0.18/0.39  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------