%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD060-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 12:22:05 PM UTC 2026
% Result : Unsatisfiable 52.42s 7.03s
% Output : CNFRefutation 52.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 18 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 133 ( 74 ~; 59 |; 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 : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] :
( ~ defined(Y)
| ~ defined(X)
| equalish(add(X,Y),add(Y,X)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] :
( ~ defined(Y)
| ~ defined(X)
| less_or_equal(Y,X)
| less_or_equal(X,Y) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( ~ equalish(Y,X)
| equalish(X,Y) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,hypothesis,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
equalish(add(a,a),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
equalish(add(b,b),v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
~ less_or_equal(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| equalish(add(X,Y),add(Y,X)) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f41,plain,
! [X0,X1] :
( ~ defined(X1)
| equalish(add(X1,X0),add(X0,X1))
| ~ defined(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f59,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(f60,plain,
! [X0,X1,X2] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| less_or_equal(Y,X)
| less_or_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f62,plain,
! [X0,X1] :
( less_or_equal(X1,X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| ~ defined(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,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(f64,plain,
! [X0,X1,X2] :
( ~ defined(X2)
| less_or_equal(add(X0,X2),add(X1,X2))
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f68,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f75,plain,
! [Y,X] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ less_or_equal(X,Z)
| less_or_equal(Y,Z) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X0)
| ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f78,plain,
defined(a),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f79,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f81,plain,
defined(v),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f82,plain,
equalish(add(a,a),u),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f83,plain,
equalish(add(b,b),v),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f84,plain,
less_or_equal(a,b),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f85,plain,
~ less_or_equal(u,v),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f89,plain,
! [X0] :
( less_or_equal(v,X0)
| ~ defined(X0)
| less_or_equal(X0,v) ),
inference(resolution,[status(thm)],[f81,f62]) ).
fof(f98,plain,
! [X0] :
( ~ less_or_equal(X0,v)
| ~ equalish(X0,u) ),
inference(resolution,[status(thm)],[f76,f85]) ).
fof(f99,plain,
~ less_or_equal(add(a,a),v),
inference(resolution,[status(thm)],[f98,f82]) ).
fof(f387,plain,
! [X0] :
( ~ less_or_equal(X0,v)
| ~ less_or_equal(add(a,a),X0) ),
inference(resolution,[status(thm)],[f60,f99]) ).
fof(f422,plain,
! [X0] :
( ~ defined(a)
| ~ less_or_equal(a,X0)
| ~ less_or_equal(add(X0,a),v) ),
inference(resolution,[status(thm)],[f387,f64]) ).
fof(f430,plain,
! [X0] :
( ~ less_or_equal(a,X0)
| ~ less_or_equal(add(X0,a),v) ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f78]) ).
fof(f450,plain,
! [X0,X1] :
( ~ less_or_equal(X1,v)
| ~ less_or_equal(a,X0)
| ~ less_or_equal(add(X0,a),X1) ),
inference(resolution,[status(thm)],[f430,f60]) ).
fof(f640,plain,
! [X0] :
( ~ less_or_equal(add(b,a),X0)
| ~ less_or_equal(X0,v) ),
inference(resolution,[status(thm)],[f450,f84]) ).
fof(f653,plain,
! [X0,X1] :
( ~ equalish(X1,add(b,a))
| ~ less_or_equal(X1,X0)
| ~ less_or_equal(X0,v) ),
inference(resolution,[status(thm)],[f640,f76]) ).
fof(f1264,plain,
! [X0] :
( ~ defined(X0)
| equalish(add(a,X0),add(X0,a)) ),
inference(resolution,[status(thm)],[f41,f78]) ).
fof(f1722,plain,
! [X0] :
( ~ less_or_equal(add(a,b),X0)
| ~ less_or_equal(X0,v)
| ~ defined(b) ),
inference(resolution,[status(thm)],[f1264,f653]) ).
fof(f1730,plain,
! [X0] :
( ~ less_or_equal(add(a,b),X0)
| ~ less_or_equal(X0,v) ),
inference(forward_subsumption_resolution,[status(thm)],[f1722,f79]) ).
fof(f1746,plain,
! [X0] :
( ~ defined(b)
| ~ less_or_equal(a,X0)
| ~ less_or_equal(add(X0,b),v) ),
inference(resolution,[status(thm)],[f1730,f64]) ).
fof(f1752,plain,
! [X0] :
( ~ less_or_equal(a,X0)
| ~ less_or_equal(add(X0,b),v) ),
inference(forward_subsumption_resolution,[status(thm)],[f1746,f79]) ).
fof(f1763,plain,
! [X0,X1] :
( ~ less_or_equal(a,X1)
| ~ less_or_equal(X0,v)
| ~ equalish(X0,add(X1,b)) ),
inference(resolution,[status(thm)],[f1752,f76]) ).
fof(f1838,plain,
! [X0] :
( ~ less_or_equal(X0,v)
| ~ equalish(X0,add(b,b)) ),
inference(resolution,[status(thm)],[f1763,f84]) ).
fof(f1851,plain,
! [X0] :
( ~ equalish(add(b,b),X0)
| ~ less_or_equal(X0,v) ),
inference(resolution,[status(thm)],[f1838,f68]) ).
fof(f1865,plain,
~ less_or_equal(v,v),
inference(resolution,[status(thm)],[f1851,f83]) ).
fof(f1874,plain,
( ~ defined(v)
| less_or_equal(v,v) ),
inference(resolution,[status(thm)],[f1865,f89]) ).
fof(f1877,plain,
~ defined(v),
inference(forward_subsumption_resolution,[status(thm)],[f1874,f1865]) ).
fof(f1878,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1877,f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD060-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/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
% 52.42/7.03 % Refutation found
% 52.42/7.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 52.42/7.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 40.03/7.12 % Elapsed time: 6.729013 seconds
% 40.03/7.12 % CPU time: 53.093845 seconds
% 40.03/7.12 % Total memory used: 333.355 MB
% 40.03/7.12 % Net memory used: 280.367 MB
%------------------------------------------------------------------------------