%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV023-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:46:00 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 23 unt; 0 def)
% Number of atoms : 82 ( 35 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 69 ( 30 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [T_3] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(T_3) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [X_81] : ~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [Y_84,X_83,Z_85] :
( f_SUB_(X_83,Y_84) != Z_85
| f_ADD_(Z_85,Y_84) = X_83
| def_89(Y_84,X_83) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [X_83,Y_84] :
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [X_107,Y_108] :
( f_ADD_(X_107,n1) != f_ADD_(Y_108,n1)
| X_107 = Y_108 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,axiom,
! [X_109] : f_ADD_(n0,X_109) = X_109,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f135,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f137,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f138,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f142,plain,
! [X0] : fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f145,plain,
! [X0] :
( fwork_DOTfifo_DOTrtl_DOTint__level_(X0) != n0
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f190,plain,
! [X0] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f211,plain,
! [X0] : ~ p_LES_EQU_(f_ADD_(X0,n1),n0),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f213,plain,
! [X0,X1,X2] :
( f_SUB_(X1,X0) != X2
| f_ADD_(X2,X0) = X1
| def_89(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f215,plain,
! [X0,X1] :
( ~ def_89(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f228,plain,
! [X0,X1] :
( f_ADD_(X0,n1) != f_ADD_(X1,n1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f229,plain,
! [X0] : f_ADD_(n0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f299,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n1,
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f300,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f301,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f302,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f303,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f304,plain,
! [X0,X1] :
( f_ADD_(f_SUB_(X1,X0),X0) = X1
| def_89(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f213]) ).
fof(f306,plain,
! [X0] : ~ def_89(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f215]) ).
fof(f309,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n1,
inference(backward_demodulation,[status(thm)],[f142,f299]) ).
fof(f311,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != n0,
inference(resolution,[status(thm)],[f303,f145]) ).
fof(f332,plain,
! [X0] :
( n1 != f_ADD_(X0,n1)
| n0 = X0 ),
inference(paramodulation,[status(thm)],[f229,f228]) ).
fof(f343,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1) ),
inference(paramodulation,[status(thm)],[f309,f190]) ).
fof(f344,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(n1,n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f309,f343]) ).
fof(f345,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p_LES_EQU_(n1,n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[f344,f300]) ).
fof(f379,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(n1,n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(n1,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[f345,f302]) ).
fof(f381,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
| p_LES_EQU_(n1,n0)
| f_SUB_(n1,n1) != n0 ),
inference(paramodulation,[status(thm)],[f379,f311]) ).
fof(f388,plain,
( p_LES_EQU_(n1,n0)
| f_SUB_(n1,n1) != n0 ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f301]) ).
fof(f456,plain,
~ p_LES_EQU_(n1,n0),
inference(paramodulation,[status(thm)],[f229,f211]) ).
fof(f458,plain,
f_SUB_(n1,n1) != n0,
inference(backward_subsumption_resolution,[status(thm)],[f388,f456]) ).
fof(f886,plain,
! [X0] :
( def_89(n1,X0)
| n1 != X0
| n0 = f_SUB_(X0,n1) ),
inference(paramodulation,[status(thm)],[f304,f332]) ).
fof(f897,plain,
( def_89(n1,n1)
| n0 = f_SUB_(n1,n1) ),
inference(destructive_equality_resolution,[status(thm)],[f886]) ).
fof(f898,plain,
def_89(n1,n1),
inference(forward_subsumption_resolution,[status(thm)],[f897,f458]) ).
fof(f903,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f898,f306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV023-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:48:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.45 % Elapsed time: 0.075552 seconds
% 0.13/0.45 % CPU time: 0.364110 seconds
% 0.13/0.45 % Total memory used: 114.906 MB
% 0.13/0.45 % Net memory used: 114.214 MB
%------------------------------------------------------------------------------