%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV019-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 12:45:59 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 55 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 34 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X_t_37] :
( ~ p_Wr_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X_t_42] :
( ~ p_Wr_error(plus(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/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [X_t_42] :
( ~ p_Wr_error(plus(X_t_42,n1))
| ~ p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
p_Wr_error(plus(t_139,n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
p_Wr(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
( p_Rd(t_139)
| gt(fifo_length,level(t_139)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f126,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f133,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ gt(fifo_length,int_level(X0))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f150,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f190,plain,
p_Wr_error(plus(t_139,n1)),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f191,plain,
p_Wr(t_139),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f193,plain,
( p_Rd(t_139)
| gt(fifo_length,level(t_139)) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f291,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ gt(fifo_length,level(X0))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(forward_demodulation,[status(thm)],[f118,f133]) ).
fof(f292,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ gt(fifo_length,level(X0))
| p_Rd(X0)
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f291,f126]) ).
fof(f415,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ gt(fifo_length,level(X0))
| ~ p_Wr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f292,f416]) ).
fof(f416,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Rd(X0)
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f150,f126]) ).
fof(f417,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Rd(t_139) ),
inference(resolution,[status(thm)],[f416,f191]) ).
fof(f418,plain,
~ p_Rd(t_139),
inference(forward_subsumption_resolution,[status(thm)],[f417,f190]) ).
fof(f422,plain,
gt(fifo_length,level(t_139)),
inference(backward_subsumption_resolution,[status(thm)],[f193,f418]) ).
fof(f575,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ gt(fifo_length,level(t_139)) ),
inference(resolution,[status(thm)],[f415,f191]) ).
fof(f576,plain,
~ p_Wr_error(plus(t_139,n1)),
inference(forward_subsumption_resolution,[status(thm)],[f575,f422]) ).
fof(f577,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f576,f190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV019-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.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 20:51:02 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.067567 seconds
% 0.13/0.44 % CPU time: 0.253766 seconds
% 0.13/0.44 % Total memory used: 107.109 MB
% 0.13/0.44 % Net memory used: 106.783 MB
%------------------------------------------------------------------------------