%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ037-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 0.13s 0.56s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 12 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 : 108 ( 108 !; 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/sandbox/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
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('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [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)
| ~ 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('/export/starexec/sandbox/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,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),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,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,X24,X25,X26,X27,X28,X29,X30,X31,X32,X21,X22,X23,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,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)],[f4]) ).
fof(f42,plain,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,o,o,o,y,y,y,r,r,r,g,g,g,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(resolution,[status(thm)],[f24,f22]) ).
fof(f45,plain,
state(b,b,b,b,b,b,b,b,b,r,r,r,g,g,g,o,o,o,y,y,y,y,y,y,r,r,r,g,g,g,o,o,o,r,r,r,g,g,g,o,o,o,y,y,y,w,w,w,w,w,w,w,w,w),
inference(resolution,[status(thm)],[f42,f24]) ).
fof(f57,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(resolution,[status(thm)],[f45,f24]) ).
fof(f59,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f57,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ037-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.53 % Computer : n026.cluster.edu
% 0.08/0.53 % Model : x86_64 x86_64
% 0.08/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.53 % Memory : 8046.5625MB
% 0.08/0.53 % OS : Linux 6.8.0-71-generic
% 0.08/0.53 % CPULimit : 300
% 0.08/0.53 % WCLimit : 300
% 0.08/0.53 % DateTime : Mon Sep 21 03:49:08 UTC 2026
% 0.08/0.53 % CPUTime :
% 0.08/0.55 % Drodi V4.1.1
% 0.13/0.56 % Refutation found
% 0.13/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.58 % Elapsed time: 0.045260 seconds
% 0.13/0.58 % CPU time: 0.124171 seconds
% 0.13/0.58 % Total memory used: 35.801 MB
% 0.13/0.58 % Net memory used: 35.492 MB
%------------------------------------------------------------------------------