%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ037-2 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:54:23 AM UTC 2026
% Result : Unsatisfiable 2.45s 2.72s
% Output : Proof 2.45s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(make_like_this,negated_conjecture,
~ 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('theBenchmark.p',make_like_this) ).
cnf(start_with_this,hypothesis,
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),
file('theBenchmark.p',start_with_this) ).
cnf(txy,axiom,
( 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) ),
file('theBenchmark.p',txy) ).
cnf(mxy,axiom,
( 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) ),
file('theBenchmark.p',mxy) ).
cnf(bxy,axiom,
( 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) ),
file('theBenchmark.p',bxy) ).
cnf(fzy,axiom,
( 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) ),
file('theBenchmark.p',fzy) ).
cnf(mzy,axiom,
( 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) ),
file('theBenchmark.p',mzy) ).
cnf(bzy,axiom,
( 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) ),
file('theBenchmark.p',bzy) ).
cnf(lzx,axiom,
( 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) ),
file('theBenchmark.p',lzx) ).
cnf(mzx,axiom,
( 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) ),
file('theBenchmark.p',mzx) ).
cnf(rzx,axiom,
( 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) ),
file('theBenchmark.p',rzx) ).
cnf(tyx,axiom,
( 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) ),
file('theBenchmark.p',tyx) ).
cnf(myx,axiom,
( 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) ),
file('theBenchmark.p',myx) ).
cnf(byx,axiom,
( 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) ),
file('theBenchmark.p',byx) ).
cnf(fyz,axiom,
( 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) ),
file('theBenchmark.p',fyz) ).
cnf(myz,axiom,
( 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) ),
file('theBenchmark.p',myz) ).
cnf(byz,axiom,
( 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) ),
file('theBenchmark.p',byz) ).
cnf(lxz,axiom,
( 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) ),
file('theBenchmark.p',lxz) ).
cnf(mxz,axiom,
( 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) ),
file('theBenchmark.p',mxz) ).
cnf(rxz,axiom,
( 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) ),
file('theBenchmark.p',rxz) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ037-2 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 20:03:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 2.45/2.72 % SZS status Unsatisfiable for theBenchmark
% 2.45/2.72 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------