%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV028-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:46:01 PM UTC 2026
% Result : Unsatisfiable 0.12s 5.67s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 31 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [Z_21,Y_20,X_19] :
( ~ gt(Y_20,X_19)
| gt(Z_21,X_19)
| ~ gt(Z_21,Y_20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X_28] : ~ gt(X_28,X_28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X_t_37] :
( int_level(plus(X_t_37,n1)) = n0
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
gt(level(plus(t_139,n1)),fifo_length),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f108,plain,
! [Y_20,X_19] :
( ~ gt(Y_20,X_19)
| ! [Z_21] :
( gt(Z_21,X_19)
| ~ gt(Z_21,Y_20) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f113,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f117,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f122,plain,
! [X0] :
( int_level(plus(X0,n1)) = n0
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f189,plain,
p_Reset(t_139),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f190,plain,
gt(level(plus(t_139,n1)),fifo_length),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f191,plain,
gt(fifo_length,n0),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f210,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[f109,f113]) ).
fof(f214,plain,
~ gt(fifo_length,level(plus(t_139,n1))),
inference(resolution,[status(thm)],[f210,f190]) ).
fof(f315,plain,
! [X0] :
( level(plus(X0,n1)) = n0
| ~ p_Reset(X0) ),
inference(forward_demodulation,[status(thm)],[f117,f122]) ).
fof(f316,plain,
level(plus(t_139,n1)) = n0,
inference(resolution,[status(thm)],[f315,f189]) ).
fof(f330,plain,
~ gt(fifo_length,n0),
inference(backward_demodulation,[status(thm)],[f316,f214]) ).
fof(f332,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f330,f191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV028-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.61 % Computer : n020.cluster.edu
% 0.12/5.61 % Model : x86_64 x86_64
% 0.12/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.61 % Memory : 8046.5625MB
% 0.12/5.61 % OS : Linux 6.8.0-71-generic
% 0.12/5.61 % CPULimit : 300
% 0.12/5.61 % WCLimit : 300
% 0.12/5.61 % DateTime : Sun Sep 20 20:50:08 UTC 2026
% 0.12/5.61 % CPUTime :
% 0.12/5.63 % Drodi V4.1.1
% 0.12/5.67 % Refutation found
% 0.12/5.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/5.72 % Elapsed time: 0.095365 seconds
% 0.17/5.72 % CPU time: 0.149429 seconds
% 0.17/5.72 % Total memory used: 20.193 MB
% 0.17/5.72 % Net memory used: 20.121 MB
%------------------------------------------------------------------------------