%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM023-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:38:33 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : equalish(add(A,n0),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] :
( less(B,C)
| ~ equalish(add(successor(A),B),C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ less(n0,successor(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0] : equalish(add(X0,n0),X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
! [B,C] :
( less(B,C)
| ! [A] : ~ equalish(add(successor(A),B),C) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f25,plain,
! [X0,X1,X2] :
( less(X1,X2)
| ~ equalish(add(successor(X0),X1),X2) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f33,plain,
~ less(n0,successor(a)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f71,plain,
! [X0] : less(n0,successor(X0)),
inference(resolution,[status(thm)],[f25,f16]) ).
fof(f80,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f33,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM023-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n006.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 01:58:58 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.48 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.55 % Elapsed time: 0.086985 seconds
% 0.18/0.55 % CPU time: 0.102865 seconds
% 0.18/0.55 % Total memory used: 5.353 MB
% 0.18/0.55 % Net memory used: 5.326 MB
%------------------------------------------------------------------------------