%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV032-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:46:02 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 27 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [Y_12,X_11] :
( gt(plus(Y_12,n1),plus(X_11,n1))
| ~ gt(Y_12,X_11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Y_12,X_11] :
( ~ gt(plus(Y_12,n1),plus(X_11,n1))
| gt(Y_12,X_11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X_31] : plus(n0,X_31) = X_31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X_t_37] :
( rd_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(fifo_length,rd_level(plus(t_139,n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f103,plain,
! [X0,X1] :
( gt(plus(X0,n1),plus(X1,n1))
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f104,plain,
! [X0,X1] :
( ~ gt(plus(X0,n1),plus(X1,n1))
| gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f115,plain,
! [X0] : plus(n0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f124,plain,
! [X0] :
( rd_level(plus(X0,n1)) = n0
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f189,plain,
p_Reset(t_139),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f190,plain,
~ gt(fifo_length,rd_level(plus(t_139,n1))),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f191,plain,
gt(fifo_length,n0),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f198,plain,
gt(plus(fifo_length,n1),plus(n0,n1)),
inference(resolution,[status(thm)],[f103,f191]) ).
fof(f200,plain,
gt(plus(fifo_length,n1),n1),
inference(forward_demodulation,[status(thm)],[f115,f198]) ).
fof(f224,plain,
~ gt(plus(fifo_length,n1),plus(rd_level(plus(t_139,n1)),n1)),
inference(resolution,[status(thm)],[f104,f190]) ).
fof(f330,plain,
rd_level(plus(t_139,n1)) = n0,
inference(resolution,[status(thm)],[f124,f189]) ).
fof(f358,plain,
~ gt(plus(fifo_length,n1),plus(n0,n1)),
inference(backward_demodulation,[status(thm)],[f330,f224]) ).
fof(f362,plain,
~ gt(plus(fifo_length,n1),n1),
inference(forward_demodulation,[status(thm)],[f115,f358]) ).
fof(f363,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f362,f200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV032-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:49:21 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.059914 seconds
% 0.12/0.42 % CPU time: 0.160892 seconds
% 0.12/0.42 % Total memory used: 76.021 MB
% 0.12/0.42 % Net memory used: 75.879 MB
%------------------------------------------------------------------------------