%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD061-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 12:22:06 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 86 ( 49 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] :
( ~ defined(Y)
| ~ defined(X)
| equalish(add(X,Y),add(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Z,Y] :
( ~ less_or_equal(Y,Z)
| ~ less_or_equal(X,Y)
| less_or_equal(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Z,Y] :
( ~ less_or_equal(X,Y)
| ~ defined(Z)
| less_or_equal(add(X,Z),add(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [Y,Z,X] :
( ~ equalish(X,Y)
| ~ less_or_equal(X,Z)
| less_or_equal(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ less_or_equal(add(a,c),add(d,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| equalish(add(X,Y),add(Y,X)) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f40,plain,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| equalish(add(X0,X1),add(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f58,plain,
! [Z,Y] :
( ~ less_or_equal(Y,Z)
| ! [X] :
( ~ less_or_equal(X,Y)
| less_or_equal(X,Z) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f62,plain,
! [X,Y] :
( ~ less_or_equal(X,Y)
| ! [Z] :
( ~ defined(Z)
| less_or_equal(add(X,Z),add(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ less_or_equal(X0,X2)
| ~ defined(X1)
| less_or_equal(add(X0,X1),add(X2,X1)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f74,plain,
! [Y,X] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ less_or_equal(X,Z)
| less_or_equal(Y,Z) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X0)
| ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f78,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f79,plain,
defined(c),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f81,plain,
less_or_equal(a,b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f82,plain,
less_or_equal(c,d),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f83,plain,
~ less_or_equal(add(a,c),add(d,b)),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f84,plain,
! [X0] :
( ~ less_or_equal(X0,add(d,b))
| ~ less_or_equal(add(a,c),X0) ),
inference(resolution,[status(thm)],[f59,f83]) ).
fof(f87,plain,
! [X0] :
( ~ less_or_equal(a,X0)
| ~ defined(c)
| ~ less_or_equal(add(X0,c),add(d,b)) ),
inference(resolution,[status(thm)],[f84,f63]) ).
fof(f91,plain,
! [X0] :
( ~ less_or_equal(a,X0)
| ~ less_or_equal(add(X0,c),add(d,b)) ),
inference(forward_subsumption_resolution,[status(thm)],[f87,f79]) ).
fof(f98,plain,
! [X0,X1] :
( ~ equalish(X1,add(X0,c))
| ~ less_or_equal(X1,add(d,b))
| ~ less_or_equal(a,X0) ),
inference(resolution,[status(thm)],[f91,f75]) ).
fof(f114,plain,
! [X0] :
( ~ equalish(X0,add(b,c))
| ~ less_or_equal(X0,add(d,b)) ),
inference(resolution,[status(thm)],[f98,f81]) ).
fof(f119,plain,
! [X0] :
( ~ less_or_equal(X0,d)
| ~ defined(b)
| ~ equalish(add(X0,b),add(b,c)) ),
inference(resolution,[status(thm)],[f114,f63]) ).
fof(f123,plain,
! [X0] :
( ~ less_or_equal(X0,d)
| ~ equalish(add(X0,b),add(b,c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f78]) ).
fof(f126,plain,
( ~ defined(b)
| ~ defined(c)
| ~ less_or_equal(c,d) ),
inference(resolution,[status(thm)],[f123,f40]) ).
fof(f129,plain,
( ~ defined(b)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[status(thm)],[f126,f82]) ).
fof(f131,plain,
~ defined(b),
inference(forward_subsumption_resolution,[status(thm)],[f129,f79]) ).
fof(f132,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f78,f131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD061-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.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 15:43:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.43 % Elapsed time: 0.048667 seconds
% 0.10/0.43 % CPU time: 0.170659 seconds
% 0.10/0.43 % Total memory used: 18.677 MB
% 0.10/0.43 % Net memory used: 18.422 MB
%------------------------------------------------------------------------------