TSTP Solution File: PUZ037-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ037-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 Jul 27 13:11:26 EDT 2022
% Result : Unsatisfiable 1.80s 1.97s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-54 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ 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),
file('PUZ037-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)
| state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,E1,F1,G1,V,W,X,Y,Z,A1,B1,C1,D1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2) ),
file('PUZ037-1.p',unknown),
[] ).
cnf(20,axiom,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
file('PUZ037-1.p',unknown),
[] ).
cnf(28,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),
inference(hyper,[status(thm)],[20,12]),
[iquote('hyper,20,12')] ).
cnf(29,plain,
$false,
inference(binary,[status(thm)],[28,1]),
[iquote('binary,28.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ037-1 : TPTP v8.1.0. Released v2.3.0.
% 0.13/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n003.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 : Wed Jul 27 01:47:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.80/1.97 ----- Otter 3.3f, August 2004 -----
% 1.80/1.97 The process was started by sandbox on n003.cluster.edu,
% 1.80/1.97 Wed Jul 27 01:47:26 2022
% 1.80/1.97 The command was "./otter". The process ID is 11231.
% 1.80/1.97
% 1.80/1.97 set(prolog_style_variables).
% 1.80/1.97 set(auto).
% 1.80/1.97 dependent: set(auto1).
% 1.80/1.97 dependent: set(process_input).
% 1.80/1.97 dependent: clear(print_kept).
% 1.80/1.97 dependent: clear(print_new_demod).
% 1.80/1.97 dependent: clear(print_back_demod).
% 1.80/1.97 dependent: clear(print_back_sub).
% 1.80/1.97 dependent: set(control_memory).
% 1.80/1.97 dependent: assign(max_mem, 12000).
% 1.80/1.97 dependent: assign(pick_given_ratio, 4).
% 1.80/1.97 dependent: assign(stats_level, 1).
% 1.80/1.97 dependent: assign(max_seconds, 10800).
% 1.80/1.97 clear(print_given).
% 1.80/1.97
% 1.80/1.97 list(usable).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 0 [] -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).
% 1.80/1.97 end_of_list.
% 1.80/1.97
% 1.80/1.97 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.80/1.97
% 1.80/1.97 This is a Horn set without equality. The strategy will
% 1.80/1.97 be hyperresolution, with satellites in sos and nuclei
% 1.80/1.97 in usable.
% 1.80/1.97
% 1.80/1.97 dependent: set(hyper_res).
% 1.80/1.97 dependent: clear(order_hyper).
% 1.80/1.97
% 1.80/1.97 ------------> process usable:
% 1.80/1.97 ** KEPT (pick-wt=55): 1 [] -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).
% 1.80/1.97 ** KEPT (pick-wt=110): 2 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(G,D,A,H,E,B,I,F,C,M,N,O,P,Q,R,S,T,U,J,K,L,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 3 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,Y,Z,A1,B1,C1,D1,E1,F1,G1,V,W,X,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 4 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,H1,I1,J1,V1,Y1,B2,U1,X1,A2,T1,W1,Z1).
% 1.80/1.97 ** KEPT (pick-wt=110): 5 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,B,C,D,E,F,P,B1,N1,J,K,I,O,A1,M1,V1,Q,R,S,T,U,V,W,H,N,Z,L1,U1,C1,D1,E1,F1,G1,H1,I1,G,M,Y,K1,T1,O1,P1,Q1,R1,S1,L,X,J1,W1,X1,Y1,Z1,A2,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 6 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,B,C,Q,C1,O1,G,H,I,J,F,L,M,N,O,P,Y1,R,S,T,U,V,E,X,Y,Z,A1,B1,X1,D1,E1,F1,G1,H1,D,J1,K1,L1,M1,N1,W1,P1,Q1,R1,S1,T1,U1,V1,K,W,I1,Z1,A2,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 7 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(R,D1,P1,D,E,F,G,H,I,C,K,L,M,N,O,P,Q,B2,Q1,E1,S,B,W,X,Y,Z,A1,B1,C1,A2,R1,F1,T,A,I1,J1,K1,L1,M1,N1,O1,Z1,S1,G1,U,T1,U1,V1,W1,X1,Y1,J,V,H1).
% 1.80/1.97 ** KEPT (pick-wt=110): 8 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(M,B,C,Y,E,F,K1,H,I,L,X,J1,T1,N,O,P,Q,R,S,T,G,K,W,I1,W1,Z,A1,B1,C1,D1,E1,F1,D,J,V,H1,Z1,L1,M1,N1,O1,P1,Q1,R1,A,S1,U1,V1,G1,X1,Y1,U,A2,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 9 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,N,C,D,Z,F,G,L1,I,J,K,L,M,U1,O,P,Q,R,S,H,U,V,W,X,Y,X1,A1,B1,C1,D1,E1,E,G1,H1,I1,J1,K1,A2,M1,N1,O1,P1,Q1,B,S1,T1,R1,V1,W1,F1,Y1,Z1,T,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 10 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,B,O,D,E,A1,G,H,M1,J,K,L,M,N,V1,N1,B1,P,I,T,U,V,W,X,Y,Z,Y1,O1,C1,Q,F,F1,G1,H1,I1,J1,K1,L1,B2,P1,D1,R,C,R1,S1,T1,U1,Q1,W1,X1,E1,Z1,A2,S).
% 1.80/1.97 ** KEPT (pick-wt=110): 11 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(C,F,I,B,E,H,A,D,G,S,T,U,J,K,L,M,N,O,P,Q,R,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 12 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,E1,F1,G1,V,W,X,Y,Z,A1,B1,C1,D1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 13 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,Q1,R1,S1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Z1,W1,T1,A2,X1,U1,B2,Y1,V1).
% 1.80/1.97 ** KEPT (pick-wt=110): 14 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,B,C,D,E,F,J1,X,L,J,K,T1,K1,Y,M,G,Q,R,S,T,U,V,W,U1,L1,Z,N,H,C1,D1,E1,F1,G1,H1,I1,V1,M1,A1,O,I,O1,P1,Q1,R1,S1,N1,B1,P,W1,X1,Y1,Z1,A2,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 15 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,B,C,I1,W,K,G,H,I,J,W1,L,M,N,O,P,D,R,S,T,U,V,X1,X,Y,Z,A1,B1,E,D1,E1,F1,G1,H1,Y1,J1,K1,L1,M1,N1,F,P1,Q1,R1,S1,T1,U1,V1,O1,C1,Q,Z1,A2,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 16 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(H1,V,J,D,E,F,G,H,I,Z1,K,L,M,N,O,P,Q,A,U,G1,S1,A2,W,X,Y,Z,A1,B1,C1,B,T,F1,R1,B2,I1,J1,K1,L1,M1,N1,O1,C,S,E1,Q1,T1,U1,V1,W1,X1,Y1,P1,D1,R).
% 1.80/1.97 ** KEPT (pick-wt=110): 17 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(S1,B,C,G1,E,F,U,H,I,H1,V,J,A,N,O,P,Q,R,S,T,Z1,I1,W,K,D,Z,A1,B1,C1,D1,E1,F1,W1,J1,X,L,G,L1,M1,N1,O1,P1,Q1,R1,T1,M,U1,V1,Y,X1,Y1,K1,A2,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 18 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,R1,C,D,F1,F,G,T,I,J,K,L,M,B,O,P,Q,R,S,A2,U,V,W,X,Y,E,A1,B1,C1,D1,E1,X1,G1,H1,I1,J1,K1,H,M1,N1,O1,P1,Q1,U1,S1,T1,N,V1,W1,Z,Y1,Z1,L1,B2).
% 1.80/1.97 ** KEPT (pick-wt=110): 19 [] -state(A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z,A1,B1,C1,D1,E1,F1,G1,H1,I1,J1,K1,L1,M1,N1,O1,P1,Q1,R1,S1,T1,U1,V1,W1,X1,Y1,Z1,A2,B2)|state(A,B,Q1,D,E,E1,G,H,S,J,K,L,M,N,C,R,D1,P1,B2,T,U,V,W,X,Y,Z,F,Q,C1,O1,Y1,F1,G1,H1,I1,J1,K1,L1,I,P,B1,N1,V1,R1,S1,T1,U1,O,W1,X1,A1,Z1,A2,M1).
% 1.80/1.97
% 1.80/1.97 ------------> process sos:
% 1.80/1.97 ** KEPT (pick-wt=55): 20 [] state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,g,g,g,o,o,o,y,y,y,r,r,r,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w).
% 1.80/1.97
% 1.80/1.97 ======= end of input processing =======
% 1.80/1.97
% 1.80/1.97 =========== start of search ===========
% 1.80/1.97
% 1.80/1.97 -------- PROOF --------
% 1.80/1.97
% 1.80/1.97 ----> UNIT CONFLICT at 0.01 sec ----> 29 [binary,28.1,1.1] $F.
% 1.80/1.97
% 1.80/1.97 Length of proof is 1. Level of proof is 1.
% 1.80/1.97
% 1.80/1.97 ---------------- PROOF ----------------
% 1.80/1.97 % SZS status Unsatisfiable
% 1.80/1.97 % SZS output start Refutation
% See solution above
% 1.80/1.97 ------------ end of proof -------------
% 1.80/1.97
% 1.80/1.97
% 1.80/1.97 Search stopped by max_proofs option.
% 1.80/1.97
% 1.80/1.97
% 1.80/1.97 Search stopped by max_proofs option.
% 1.80/1.97
% 1.80/1.97 ============ end of search ============
% 1.80/1.97
% 1.80/1.97 -------------- statistics -------------
% 1.80/1.97 clauses given 1
% 1.80/1.97 clauses generated 8
% 1.80/1.97 clauses kept 28
% 1.80/1.97 clauses forward subsumed 0
% 1.80/1.97 clauses back subsumed 0
% 1.80/1.97 Kbytes malloced 1953
% 1.80/1.97
% 1.80/1.97 ----------- times (seconds) -----------
% 1.80/1.97 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.80/1.97 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.80/1.97 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.80/1.97
% 1.80/1.97 That finishes the proof of the theorem.
% 1.80/1.97
% 1.80/1.97 Process 11231 finished Wed Jul 27 01:47:28 2022
% 1.80/1.97 Otter interrupted
% 1.80/1.97 PROOF FOUND
%------------------------------------------------------------------------------