%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWC001-1 : TPTP v9.3.1. Bugfixed v1.1.1.
% 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 12:45:50 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 26 unt; 0 def)
% Number of atoms : 60 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : nand(X,Y) = not(and(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : and(X,n0) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : and(X,n1) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
not(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
not(n1) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X1,X2,X3,X4,Y1,Y2,Y3,Y4] :
( output(nand(X1,Y1),nand(X2,Y2),nand(X3,Y3),nand(X4,Y4))
| ~ output(Y1,Y2,Y3,Y4)
| ~ output(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
output(n0,n0,n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
output(n0,n1,n0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ output(n0,n1,n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] : nand(X0,X1) = not(and(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0] : and(X0,n0) = n0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0] : and(X0,n1) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
not(n0) = n1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
not(n1) = n0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( output(nand(X0,X4),nand(X1,X5),nand(X2,X6),nand(X3,X7))
| ~ output(X4,X5,X6,X7)
| ~ output(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
output(n0,n0,n1,n1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
output(n0,n1,n0,n1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
~ output(n0,n1,n1,n1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f19,plain,
! [X0] : nand(X0,n1) = not(X0),
inference(paramodulation,[status(thm)],[f12,f10]) ).
fof(f20,plain,
! [X0] : nand(X0,n0) = not(n0),
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f21,plain,
! [X0] : nand(X0,n0) = n1,
inference(forward_demodulation,[status(thm)],[f13,f20]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( output(nand(X0,X4),nand(X1,X5),nand(X2,X6),n1)
| ~ output(X4,X5,X6,n0)
| ~ output(X0,X1,X2,X3) ),
inference(paramodulation,[status(thm)],[f21,f15]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( output(nand(X0,X4),nand(X1,X5),n1,nand(X3,X6))
| ~ output(X4,X5,n0,X6)
| ~ output(X0,X1,X2,X3) ),
inference(paramodulation,[status(thm)],[f21,f15]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( output(nand(X0,n0),nand(X1,n1),n1,nand(X3,n1))
| ~ output(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f23,f17]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( output(n1,nand(X1,n1),n1,nand(X3,n1))
| ~ output(X0,X1,X2,X3) ),
inference(forward_demodulation,[status(thm)],[f21,f26]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( output(n1,not(X1),n1,nand(X3,n1))
| ~ output(X0,X1,X2,X3) ),
inference(forward_demodulation,[status(thm)],[f19,f27]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( output(n1,not(X1),n1,not(X3))
| ~ output(X0,X1,X2,X3) ),
inference(forward_demodulation,[status(thm)],[f19,f28]) ).
fof(f31,plain,
output(n1,not(n1),n1,not(n1)),
inference(resolution,[status(thm)],[f29,f17]) ).
fof(f33,plain,
output(n1,n0,n1,not(n1)),
inference(forward_demodulation,[status(thm)],[f14,f31]) ).
fof(f34,plain,
output(n1,n0,n1,n0),
inference(forward_demodulation,[status(thm)],[f14,f33]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( output(nand(X0,n1),nand(X1,n0),nand(X2,n1),n1)
| ~ output(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f34,f22]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( output(not(X0),nand(X1,n0),nand(X2,n1),n1)
| ~ output(X0,X1,X2,X3) ),
inference(forward_demodulation,[status(thm)],[f19,f37]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( output(not(X0),n1,nand(X2,n1),n1)
| ~ output(X0,X1,X2,X3) ),
inference(forward_demodulation,[status(thm)],[f21,f39]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( output(not(X0),n1,not(X2),n1)
| ~ output(X0,X1,X2,X3) ),
inference(forward_demodulation,[status(thm)],[f19,f40]) ).
fof(f58,plain,
! [X0,X1,X2] :
( output(n0,n1,not(X1),n1)
| ~ output(n1,X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f14,f41]) ).
fof(f60,plain,
! [X0,X1,X2] :
( output(n1,n1,not(X1),n1)
| ~ output(n0,X0,X1,X2) ),
inference(paramodulation,[status(thm)],[f13,f41]) ).
fof(f69,plain,
! [X0,X1] :
( output(n0,n1,n1,n1)
| ~ output(n1,X0,n0,X1) ),
inference(paramodulation,[status(thm)],[f13,f58]) ).
fof(f72,plain,
! [X0,X1] : ~ output(n1,X0,n0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f69,f18]) ).
fof(f102,plain,
output(n1,n1,not(n1),n1),
inference(resolution,[status(thm)],[f60,f16]) ).
fof(f104,plain,
output(n1,n1,n0,n1),
inference(forward_demodulation,[status(thm)],[f14,f102]) ).
fof(f105,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f104,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWC001-1 : TPTP v9.3.1. Bugfixed v1.1.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:49:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44 % Elapsed time: 0.061918 seconds
% 0.09/0.44 % CPU time: 0.164678 seconds
% 0.09/0.44 % Total memory used: 66.817 MB
% 0.09/0.44 % Net memory used: 66.290 MB
%------------------------------------------------------------------------------