TSTP Solution File: PUZ037-2 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% 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 14:29:02 EDT 2024

% Result   : Unsatisfiable 25.04s 25.23s
% Output   : Proof 25.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Mar 20 23:17:45 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 25.04/25.23  % SZS status Unsatisfiable for theBenchmark
% 25.04/25.23  % SZS output start Proof for theBenchmark
% 25.04/25.23  
% 25.04/25.23  % Problem matrix:
% 25.04/25.23  cnf(matrix-0, plain, ( ~state(b, b, b, b, b, b, b, b, b, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, r, r, r, g, g, g, o, o, o, y, y, y, w, w, w, w, w, w, w, w, w) )).
% 25.04/25.23  cnf(matrix-1, plain, ( state(y, b, y, y, b, y, y, b, y, r, r, r, b, g, b, o, o, o, w, y, w, w, y, w, r, r, r, b, g, b, o, o, o, r, r, r, b, g, b, o, o, o, w, y, w, g, w, g, g, w, g, g, w, g) )).
% 25.04/25.23  cnf(matrix-2, plain, ( ~state(W7, W6, W5, W8, A1, W4, W1, W2, W3, Y1, Y2, Y3, X1, X2, X3, X4, X5, X6, X7, X8, X9, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, D7) | state(W1, W8, W7, W2, A1, W6, W3, W4, W5, X1, X2, X3, X4, X5, X6, X7, X8, X9, Y1, Y2, Y3, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, D7) )).
% 25.04/25.23  cnf(matrix-3, plain, ( ~state(A1, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, Y1, Y2, Y3, X1, X2, X3, X4, X5, X6, X7, X8, X9, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, D7, D8, D9, E1, E2, E3, E4, E5, E6) | state(A1, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, X1, X2, X3, X4, X5, X6, X7, X8, X9, Y1, Y2, Y3, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, D7, D8, D9, E1, E2, E3, E4, E5, E6) )).
% 25.04/25.23  cnf(matrix-4, plain, ( ~state(A1, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, Y1, Y2, Y3, X1, X2, X3, X4, X5, X6, X7, X8, X9, W7, W8, W1, W6, D7, W2, W5, W4, W3) | state(A1, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, X1, X2, X3, X4, X5, X6, X7, X8, X9, Y1, Y2, Y3, W1, W2, W3, W8, D7, W4, W7, W6, W5) )).
% 25.04/25.23  cnf(matrix-5, plain, ( ~state(A1, A2, A3, A4, A5, A6, V1, U1, Y1, A7, A8, W1, V2, U2, Y2, X1, A9, B1, B2, B3, B4, B5, B6, W2, V3, U3, Y3, X2, B7, B8, B9, C1, C2, C3, C4, W3, V4, U4, Y4, X3, C5, C6, C7, C8, C9, V5, U5, Y5, D1, D2, D3, D4, D5, D6) | state(A1, A2, A3, A4, A5, A6, X1, X2, X3, A7, A8, Y1, Y2, Y3, Y4, Y5, A9, B1, B2, B3, B4, B5, B6, U1, U2, U3, U4, U5, B7, B8, B9, C1, C2, C3, C4, V1, V2, V3, V4, V5, C5, C6, C7, C8, C9, W1, W2, W3, D1, D2, D3, D4, D5, D6) )).
% 25.04/25.23  cnf(matrix-6, plain, ( ~state(A1, A2, A3, Y1, Y2, Y3, A4, A5, A6, A7, X9, A8, A9, B1, B2, B3, X1, B4, B5, B6, B7, B8, X8, B9, C1, C2, C3, C4, X2, C5, C6, C7, C8, C9, X7, D1, D2, D3, D4, D5, X3, D6, D7, D8, D9, E1, E2, E3, X6, X5, X4, E4, E5, E6) | state(A1, A2, A3, X1, X2, X3, A4, A5, A6, A7, Y3, A8, A9, B1, B2, B3, X4, B4, B5, B6, B7, B8, Y2, B9, C1, C2, C3, C4, X5, C5, C6, C7, C8, C9, Y1, D1, D2, D3, D4, D5, X6, D6, D7, D8, D9, E1, E2, E3, X9, X8, X7, E4, E5, E6) )).
% 25.04/25.23  cnf(matrix-7, plain, ( ~state(Y1, Y2, Y3, A1, A2, A3, A4, A5, A6, X9, A7, A8, A9, B1, B2, B3, B4, X1, W1, W8, W7, X8, B5, B6, B7, B8, B9, C1, C2, X2, W2, C3, W6, X7, C4, C5, C6, C7, C8, C9, D1, X3, W3, W4, W5, D2, D3, D4, D5, D6, D7, X6, X5, X4) | state(X1, X2, X3, A1, A2, A3, A4, A5, A6, Y3, A7, A8, A9, B1, B2, B3, B4, X4, W3, W2, W1, Y2, B5, B6, B7, B8, B9, C1, C2, X5, W4, C3, W8, Y1, C4, C5, C6, C7, C8, C9, D1, X6, W5, W6, W7, D2, D3, D4, D5, D6, D7, X9, X8, X7) )).
% 25.04/25.23  cnf(matrix-8, plain, ( ~state(Y1, A1, A2, Y2, A3, A4, Y3, A5, A6, W7, W8, W1, X1, A7, A8, A9, B1, B2, B3, B4, X9, W6, B5, W2, X2, B6, B7, B8, B9, C1, C2, C3, X8, W5, W4, W3, X3, C4, C5, C6, C7, C8, C9, D1, X7, X4, D2, D3, X5, D4, D5, X6, D6, D7) | state(X1, A1, A2, X2, A3, A4, X3, A5, A6, W1, W2, W3, X4, A7, A8, A9, B1, B2, B3, B4, Y3, W8, B5, W4, X5, B6, B7, B8, B9, C1, C2, C3, Y2, W7, W6, W5, X6, C4, C5, C6, C7, C8, C9, D1, Y1, X7, D2, D3, X8, D4, D5, X9, D6, D7) )).
% 25.04/25.23  cnf(matrix-9, plain, ( ~state(A1, Y1, A2, A3, Y2, A4, A5, Y3, A6, A7, A8, A9, B1, X1, B2, B3, B4, B5, B6, X9, B7, B8, B9, C1, C2, X2, C3, C4, C5, C6, C7, X8, C8, C9, D1, D2, D3, X3, D4, D5, D6, D7, D8, X7, D9, E1, X4, E2, E3, X5, E4, E5, X6, E6) | state(A1, X1, A2, A3, X2, A4, A5, X3, A6, A7, A8, A9, B1, X4, B2, B3, B4, B5, B6, Y3, B7, B8, B9, C1, C2, X5, C3, C4, C5, C6, C7, Y2, C8, C9, D1, D2, D3, X6, D4, D5, D6, D7, D8, Y1, D9, E1, X7, E2, E3, X8, E4, E5, X9, E6) )).
% 25.04/25.23  cnf(matrix-10, plain, ( ~state(A1, A2, Y1, A3, A4, Y2, A5, A6, Y3, A7, A8, A9, B1, B2, X1, W1, W8, W7, X9, B3, B4, B5, B6, B7, B8, B9, X2, W2, C1, W6, X8, C2, C3, C4, C5, C6, C7, C8, X3, W3, W4, W5, X7, C9, D1, D2, D3, X4, D4, D5, X5, D6, D7, X6) | state(A1, A2, X1, A3, A4, X2, A5, A6, X3, A7, A8, A9, B1, B2, X4, W3, W2, W1, Y3, B3, B4, B5, B6, B7, B8, B9, X5, W4, C1, W8, Y2, C2, C3, C4, C5, C6, C7, C8, X6, W5, W6, W7, Y1, C9, D1, D2, D3, X7, D4, D5, X8, D6, D7, X9) )).
% 25.04/25.23  cnf(matrix-11, plain, ( ~state(W1, W8, W7, W2, A1, W6, W3, W4, W5, X1, X2, X3, X4, X5, X6, X7, X8, X9, Y1, Y2, Y3, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, D7) | state(W7, W6, W5, W8, A1, W4, W1, W2, W3, Y1, Y2, Y3, X1, X2, X3, X4, X5, X6, X7, X8, X9, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, D7) )).
% 25.04/25.23  cnf(matrix-12, plain, ( ~state(A1, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, X1, X2, X3, X4, X5, X6, X7, X8, X9, Y1, Y2, Y3, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, D7, D8, D9, E1, E2, E3, E4, E5, E6) | state(A1, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, Y1, Y2, Y3, X1, X2, X3, X4, X5, X6, X7, X8, X9, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, D7, D8, D9, E1, E2, E3, E4, E5, E6) )).
% 25.04/25.23  cnf(matrix-13, plain, ( ~state(A1, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, X1, X2, X3, X4, X5, X6, X7, X8, X9, Y1, Y2, Y3, W1, W2, W3, W8, D7, W4, W7, W6, W5) | state(A1, A2, A3, A4, A5, A6, A7, A8, A9, B1, B2, B3, B4, B5, B6, B7, B8, B9, C1, C2, C3, C4, C5, C6, C7, C8, C9, D1, D2, D3, D4, D5, D6, Y1, Y2, Y3, X1, X2, X3, X4, X5, X6, X7, X8, X9, W7, W8, W1, W6, D7, W2, W5, W4, W3) )).
% 25.04/25.23  cnf(matrix-14, plain, ( ~state(A1, A2, A3, A4, A5, A6, X1, X2, X3, A7, A8, Y1, Y2, Y3, Y4, Y5, A9, B1, B2, B3, B4, B5, B6, U1, U2, U3, U4, U5, B7, B8, B9, C1, C2, C3, C4, V1, V2, V3, V4, V5, C5, C6, C7, C8, C9, W1, W2, W3, D1, D2, D3, D4, D5, D6) | state(A1, A2, A3, A4, A5, A6, V1, U1, Y1, A7, A8, W1, V2, U2, Y2, X1, A9, B1, B2, B3, B4, B5, B6, W2, V3, U3, Y3, X2, B7, B8, B9, C1, C2, C3, C4, W3, V4, U4, Y4, X3, C5, C6, C7, C8, C9, V5, U5, Y5, D1, D2, D3, D4, D5, D6) )).
% 25.04/25.23  cnf(matrix-15, plain, ( ~state(A1, A2, A3, X1, X2, X3, A4, A5, A6, A7, Y3, A8, A9, B1, B2, B3, X4, B4, B5, B6, B7, B8, Y2, B9, C1, C2, C3, C4, X5, C5, C6, C7, C8, C9, Y1, D1, D2, D3, D4, D5, X6, D6, D7, D8, D9, E1, E2, E3, X9, X8, X7, E4, E5, E6) | state(A1, A2, A3, Y1, Y2, Y3, A4, A5, A6, A7, X9, A8, A9, B1, B2, B3, X1, B4, B5, B6, B7, B8, X8, B9, C1, C2, C3, C4, X2, C5, C6, C7, C8, C9, X7, D1, D2, D3, D4, D5, X3, D6, D7, D8, D9, E1, E2, E3, X6, X5, X4, E4, E5, E6) )).
% 25.04/25.23  cnf(matrix-16, plain, ( ~state(X1, X2, X3, A1, A2, A3, A4, A5, A6, Y3, A7, A8, A9, B1, B2, B3, B4, X4, W3, W2, W1, Y2, B5, B6, B7, B8, B9, C1, C2, X5, W4, C3, W8, Y1, C4, C5, C6, C7, C8, C9, D1, X6, W5, W6, W7, D2, D3, D4, D5, D6, D7, X9, X8, X7) | state(Y1, Y2, Y3, A1, A2, A3, A4, A5, A6, X9, A7, A8, A9, B1, B2, B3, B4, X1, W1, W8, W7, X8, B5, B6, B7, B8, B9, C1, C2, X2, W2, C3, W6, X7, C4, C5, C6, C7, C8, C9, D1, X3, W3, W4, W5, D2, D3, D4, D5, D6, D7, X6, X5, X4) )).
% 25.04/25.23  cnf(matrix-17, plain, ( ~state(X1, A1, A2, X2, A3, A4, X3, A5, A6, W1, W2, W3, X4, A7, A8, A9, B1, B2, B3, B4, Y3, W8, B5, W4, X5, B6, B7, B8, B9, C1, C2, C3, Y2, W7, W6, W5, X6, C4, C5, C6, C7, C8, C9, D1, Y1, X7, D2, D3, X8, D4, D5, X9, D6, D7) | state(Y1, A1, A2, Y2, A3, A4, Y3, A5, A6, W7, W8, W1, X1, A7, A8, A9, B1, B2, B3, B4, X9, W6, B5, W2, X2, B6, B7, B8, B9, C1, C2, C3, X8, W5, W4, W3, X3, C4, C5, C6, C7, C8, C9, D1, X7, X4, D2, D3, X5, D4, D5, X6, D6, D7) )).
% 25.04/25.23  cnf(matrix-18, plain, ( ~state(A1, X1, A2, A3, X2, A4, A5, X3, A6, A7, A8, A9, B1, X4, B2, B3, B4, B5, B6, Y3, B7, B8, B9, C1, C2, X5, C3, C4, C5, C6, C7, Y2, C8, C9, D1, D2, D3, X6, D4, D5, D6, D7, D8, Y1, D9, E1, X7, E2, E3, X8, E4, E5, X9, E6) | state(A1, Y1, A2, A3, Y2, A4, A5, Y3, A6, A7, A8, A9, B1, X1, B2, B3, B4, B5, B6, X9, B7, B8, B9, C1, C2, X2, C3, C4, C5, C6, C7, X8, C8, C9, D1, D2, D3, X3, D4, D5, D6, D7, D8, X7, D9, E1, X4, E2, E3, X5, E4, E5, X6, E6) )).
% 25.04/25.23  cnf(matrix-19, plain, ( ~state(A1, A2, X1, A3, A4, X2, A5, A6, X3, A7, A8, A9, B1, B2, X4, W3, W2, W1, Y3, B3, B4, B5, B6, B7, B8, B9, X5, W4, C1, W8, Y2, C2, C3, C4, C5, C6, C7, C8, X6, W5, W6, W7, Y1, C9, D1, D2, D3, X7, D4, D5, X8, D6, D7, X9) | state(A1, A2, Y1, A3, A4, Y2, A5, A6, Y3, A7, A8, A9, B1, B2, X1, W1, W8, W7, X9, B3, B4, B5, B6, B7, B8, B9, X2, W2, C1, W6, X8, C2, C3, C4, C5, C6, C7, C8, X3, W3, W4, W5, X7, C9, D1, D2, D3, X4, D4, D5, X5, D6, D7, X6) )).
% 25.04/25.23  
% 25.04/25.23  % Proof stack:
% 25.04/25.23  cnf(proof-stack, plain, 
% 25.04/25.23  proof_stack(
% 25.04/25.23  start(0), 
% 25.04/25.23  left_branch(0, 10, 1, 2), 
% 25.04/25.23  left_branch(0, 8, 1, 3), 
% 25.04/25.23  left_branch(0, 3, 1, 4), 
% 25.04/25.23  left_branch(0, 1, 0, 5), 
% 25.04/25.23  right_branch(5), 
% 25.04/25.23  right_branch(4), 
% 25.04/25.23  right_branch(3), 
% 25.04/25.23  right_branch(2)
% 25.04/25.23  )).
% 25.04/25.23  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------