%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV012-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 12:45:56 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 11 unt; 2 def)
% Number of atoms : 64 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 34 ~; 33 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
gt(fifo_length,level(t_139)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
p_Wr_error(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f117,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f125,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f132,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(f149,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f189,plain,
gt(fifo_length,level(t_139)),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f190,plain,
p_Wr(t_139),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f191,plain,
p_Wr_error(plus(t_139,n1)),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f374,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)],[f117,f132]) ).
fof(f375,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)],[f374,f125]) ).
fof(f412,definition,
( sQ18_spl
<=> p_Wr(t_139) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( sQ18_spl
| ~ p_Wr(t_139) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f583,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ p_Rd(X0)
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f149,f125]) ).
fof(f595,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f414,f190]) ).
fof(f596,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f595]) ).
fof(f709,definition,
( sQ41_spl
<=> p_Wr_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( sQ41_spl
| ~ p_Wr_error(plus(t_139,n1)) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f836,plain,
! [X0] :
( ~ p_Wr_error(plus(X0,n1))
| ~ gt(fifo_length,level(X0))
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f375,f583]) ).
fof(f837,plain,
( ~ p_Wr_error(plus(t_139,n1))
| ~ p_Wr(t_139) ),
inference(resolution,[status(thm)],[f836,f189]) ).
fof(f844,plain,
( ~ sQ41_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f837,f412,f709]) ).
fof(f850,plain,
( sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f191]) ).
fof(f851,plain,
sQ41_spl,
inference(contradiction_clause,[status(thm)],[f850]) ).
fof(f852,plain,
$false,
inference(sat_refutation,[status(thm)],[f596,f844,f851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV012-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n015.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sun Sep 20 20:51:25 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.14/5.43 % Refutation found
% 0.14/5.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.46 % Elapsed time: 0.067867 seconds
% 0.14/5.46 % CPU time: 0.218792 seconds
% 0.14/5.46 % Total memory used: 106.310 MB
% 0.14/5.46 % Net memory used: 106.016 MB
%------------------------------------------------------------------------------