%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:46:24 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 42 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f9,axiom,
! [X] : ~ less_than(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
less_than(a(j),a(k)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X] :
( ~ less_than(a(X),a(k))
| ~ less_than(X,j)
| less_than(X,i) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ less_than(q,i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ less_than(j,q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
less_than(a(q),a(j)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f33,plain,
! [X0] : ~ less_than(X0,X0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f43,plain,
less_than(a(j),a(k)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f44,plain,
! [X0] :
( ~ less_than(a(X0),a(k))
| ~ less_than(X0,j)
| less_than(X0,i) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f47,plain,
~ less_than(q,i),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f48,plain,
~ less_than(j,q),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f49,plain,
less_than(a(q),a(j)),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f72,plain,
( q = j
| less_than(q,j) ),
inference(resolution,[status(thm)],[f32,f48]) ).
fof(f86,plain,
! [X0] :
( ~ less_than(X0,a(j))
| less_than(X0,a(k)) ),
inference(resolution,[status(thm)],[f43,f31]) ).
fof(f168,plain,
less_than(a(q),a(k)),
inference(resolution,[status(thm)],[f86,f49]) ).
fof(f205,plain,
( ~ less_than(q,j)
| less_than(q,i) ),
inference(resolution,[status(thm)],[f168,f44]) ).
fof(f209,plain,
~ less_than(q,j),
inference(forward_subsumption_resolution,[status(thm)],[f205,f47]) ).
fof(f210,plain,
q = j,
inference(backward_subsumption_resolution,[status(thm)],[f72,f209]) ).
fof(f225,plain,
less_than(a(q),a(q)),
inference(backward_demodulation,[status(thm)],[f210,f49]) ).
fof(f233,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f225,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:26:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.43 % Elapsed time: 0.066134 seconds
% 0.10/0.43 % CPU time: 0.223272 seconds
% 0.10/0.43 % Total memory used: 103.399 MB
% 0.10/0.43 % Net memory used: 102.910 MB
%------------------------------------------------------------------------------