%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ037-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 01:59:57 PM UTC 2026
% Result : Unsatisfiable 26.08s 3.76s
% Output : CNFRefutation 26.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 29 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 : 486 ( 486 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
state(b,r,r,w,w,w,y,b,b,g,y,r,b,g,g,o,g,y,w,w,r,g,o,r,b,g,g,o,r,b,y,y,r,g,o,g,o,o,o,y,r,b,y,y,r,w,w,w,b,b,y,w,o,o),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [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)
| ~ 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('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [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)
| ~ 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('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [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)
| ~ 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('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [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)
| ~ 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('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,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(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
state(b,r,r,w,w,w,y,b,b,g,y,r,b,g,g,o,g,y,w,w,r,g,o,r,b,g,g,o,r,b,y,y,r,g,o,g,o,o,o,y,r,b,y,y,r,w,w,w,b,b,y,w,o,o),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53] :
( state(X0,X1,X2,X16,X28,X40,X6,X7,X8,X9,X5,X11,X12,X13,X14,X15,X50,X17,X18,X19,X20,X21,X4,X23,X24,X25,X26,X27,X49,X29,X30,X31,X32,X33,X3,X35,X36,X37,X38,X39,X48,X41,X42,X43,X44,X45,X46,X47,X10,X22,X34,X51,X52,X53)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53] :
( state(X17,X29,X41,X3,X4,X5,X6,X7,X8,X2,X10,X11,X12,X13,X14,X15,X16,X53,X42,X30,X18,X1,X22,X23,X24,X25,X26,X27,X28,X52,X43,X31,X19,X0,X34,X35,X36,X37,X38,X39,X40,X51,X44,X32,X20,X45,X46,X47,X48,X49,X50,X9,X21,X33)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53] :
( state(X12,X1,X2,X24,X4,X5,X36,X7,X8,X11,X23,X35,X45,X13,X14,X15,X16,X17,X18,X19,X6,X10,X22,X34,X48,X25,X26,X27,X28,X29,X30,X31,X3,X9,X21,X33,X51,X37,X38,X39,X40,X41,X42,X43,X0,X44,X46,X47,X32,X49,X50,X20,X52,X53)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X42,X43,X44,X33,X34,X35,X36,X37,X38,X39,X40,X41,X51,X48,X45,X52,X49,X46,X53,X50,X47)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f78,plain,
state(b,r,r,g,r,r,y,b,b,g,w,r,b,g,g,o,y,y,w,w,r,g,w,r,b,g,g,o,b,b,y,y,r,g,w,g,o,o,o,y,b,b,y,y,r,w,w,w,y,o,o,w,o,o),
inference(resolution,[status(thm)],[f27,f22]) ).
fof(f110,plain,
state(b,r,r,y,b,b,y,b,b,g,r,r,b,g,g,o,o,y,w,w,r,g,r,r,b,g,g,o,o,b,y,y,r,g,g,g,o,o,o,y,y,b,y,y,r,w,w,w,w,w,w,w,o,o),
inference(resolution,[status(thm)],[f78,f27]) ).
fof(f333,plain,
state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,b,g,g,o,o,o,y,y,w,r,r,r,w,w,w,w,w,w,g,g,g),
inference(resolution,[status(thm)],[f110,f28]) ).
fof(f444,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53] :
( state(X12,X1,X2,X24,X4,X5,X33,X7,X8,X11,X23,X44,X51,X13,X14,X15,X16,X17,X18,X19,X6,X10,X22,X43,X52,X25,X26,X27,X28,X29,X30,X31,X3,X9,X21,X42,X53,X34,X35,X36,X37,X38,X39,X40,X0,X41,X48,X45,X32,X49,X46,X20,X50,X47)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53) ),
inference(resolution,[status(thm)],[f34,f29]) ).
fof(f4515,plain,
~ state(y,b,b,y,b,b,y,b,b,r,r,r,b,g,g,o,o,o,y,y,w,r,r,r,b,g,g,o,o,o,y,y,w,b,g,g,o,o,o,y,y,w,r,r,r,w,w,w,w,w,w,g,g,g),
inference(resolution,[status(thm)],[f444,f21]) ).
fof(f4522,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4515,f333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ037-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n013.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 03:45:52 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 26.08/3.76 % Refutation found
% 26.08/3.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.08/3.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.31/3.87 % Elapsed time: 3.495760 seconds
% 14.31/3.87 % CPU time: 27.268647 seconds
% 14.31/3.87 % Total memory used: 778.830 MB
% 14.31/3.87 % Net memory used: 693.246 MB
%------------------------------------------------------------------------------