%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV013-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:45:57 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 48 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X_t_42] :
( int_level(plus(X_t_42,n1)) = plus(int_level(X_t_42),n1)
| ~ gt(fifo_length,int_level(X_t_42))
| p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
~ p_Reset(x_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
gt(fifo_length,level(x_139)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
~ p_Rd(x_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
p_Wr(x_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
level(plus(x_139,n1)) != plus(level(x_139),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f119,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f135,plain,
! [X0] :
( int_level(plus(X0,n1)) = plus(int_level(X0),n1)
| ~ gt(fifo_length,int_level(X0))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f191,plain,
~ p_Reset(x_139),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f192,plain,
gt(fifo_length,level(x_139)),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f193,plain,
~ p_Rd(x_139),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f194,plain,
p_Wr(x_139),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f195,plain,
level(plus(x_139,n1)) != plus(level(x_139),n1),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f303,plain,
! [X0] :
( int_level(plus(X0,n1)) = plus(int_level(X0),n1)
| ~ gt(fifo_length,level(X0))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f135]) ).
fof(f304,plain,
! [X0] :
( level(plus(X0,n1)) = plus(int_level(X0),n1)
| ~ gt(fifo_length,level(X0))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f303]) ).
fof(f305,plain,
! [X0] :
( level(plus(X0,n1)) = plus(level(X0),n1)
| ~ gt(fifo_length,level(X0))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(forward_demodulation,[status(thm)],[f119,f304]) ).
fof(f306,plain,
( level(plus(x_139,n1)) = plus(level(x_139),n1)
| ~ gt(fifo_length,level(x_139))
| p_Rd(x_139)
| ~ p_Wr(x_139) ),
inference(resolution,[status(thm)],[f305,f191]) ).
fof(f307,plain,
( level(plus(x_139,n1)) = plus(level(x_139),n1)
| ~ gt(fifo_length,level(x_139))
| p_Rd(x_139) ),
inference(forward_subsumption_resolution,[status(thm)],[f306,f194]) ).
fof(f338,plain,
( level(plus(x_139,n1)) = plus(level(x_139),n1)
| ~ gt(fifo_length,level(x_139)) ),
inference(forward_subsumption_resolution,[status(thm)],[f307,f193]) ).
fof(f339,plain,
level(plus(x_139,n1)) = plus(level(x_139),n1),
inference(resolution,[status(thm)],[f338,f192]) ).
fof(f346,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f339,f195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV013-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:48:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.056382 seconds
% 0.13/0.42 % CPU time: 0.153952 seconds
% 0.13/0.42 % Total memory used: 26.919 MB
% 0.13/0.42 % Net memory used: 26.803 MB
%------------------------------------------------------------------------------