%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:46:25 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 45 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X] : less_than(X,successor(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Z,Y] :
( ~ less_than(Y,Z)
| ~ less_than(X,Y)
| less_than(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( X = Y
| less_than(Y,X)
| less_than(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( ~ less_than(Y,X)
| ~ less_than(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ less_than(n,m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
less_than(i,m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
less_than(a(m),a(k)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X] :
( ~ less_than(a(X),a(k))
| ~ less_than(X,successor(n))
| less_than(X,i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0] : less_than(X0,successor(X0)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f30,plain,
! [Z,Y] :
( ~ less_than(Y,Z)
| ! [X] :
( ~ less_than(X,Y)
| less_than(X,Z) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ less_than(X2,X1)
| ~ less_than(X0,X2)
| less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f34,plain,
! [X0,X1] :
( ~ less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f42,plain,
~ less_than(n,m),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f43,plain,
less_than(i,m),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f46,plain,
less_than(a(m),a(k)),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f49,plain,
! [X0] :
( ~ less_than(a(X0),a(k))
| ~ less_than(X0,successor(n))
| less_than(X0,i) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f71,plain,
! [X0,X1] :
( ~ less_than(X0,X1)
| less_than(X0,successor(X1)) ),
inference(resolution,[status(thm)],[f31,f29]) ).
fof(f78,plain,
~ less_than(m,i),
inference(resolution,[status(thm)],[f34,f43]) ).
fof(f107,plain,
( ~ less_than(m,successor(n))
| less_than(m,i) ),
inference(resolution,[status(thm)],[f49,f46]) ).
fof(f109,plain,
~ less_than(m,successor(n)),
inference(forward_subsumption_resolution,[status(thm)],[f107,f78]) ).
fof(f119,plain,
~ less_than(m,n),
inference(resolution,[status(thm)],[f109,f71]) ).
fof(f121,plain,
( n = m
| less_than(n,m) ),
inference(resolution,[status(thm)],[f119,f32]) ).
fof(f122,plain,
n = m,
inference(forward_subsumption_resolution,[status(thm)],[f121,f42]) ).
fof(f126,plain,
~ less_than(m,successor(m)),
inference(backward_demodulation,[status(thm)],[f122,f109]) ).
fof(f136,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f126,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:25:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.047065 seconds
% 0.09/0.41 % CPU time: 0.155970 seconds
% 0.09/0.41 % Total memory used: 51.394 MB
% 0.09/0.41 % Net memory used: 51.219 MB
%------------------------------------------------------------------------------