%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD070-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:22:08 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.52s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 65 ( 37 ~; 28 |; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] :
( ~ defined(X)
| equalish(add(additive_identity,X),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,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ less_or_equal(additive_identity,add(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,plain,
! [X0] :
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,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(f57,plain,
! [X0,X1,X2] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f60,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(f61,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)],[f60]) ).
fof(f72,plain,
! [Y,X] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ less_or_equal(X,Z)
| less_or_equal(Y,Z) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X0)
| ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f76,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f77,plain,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f78,plain,
less_or_equal(additive_identity,b),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f79,plain,
~ less_or_equal(additive_identity,add(a,b)),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f80,plain,
! [X0] :
( ~ less_or_equal(X0,add(a,b))
| ~ less_or_equal(additive_identity,X0) ),
inference(resolution,[status(thm)],[f57,f79]) ).
fof(f85,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| ~ less_or_equal(X1,add(a,b))
| ~ less_or_equal(additive_identity,X0) ),
inference(resolution,[status(thm)],[f80,f73]) ).
fof(f162,plain,
! [X0] :
( ~ equalish(X0,b)
| ~ less_or_equal(X0,add(a,b)) ),
inference(resolution,[status(thm)],[f85,f78]) ).
fof(f189,plain,
! [X0] :
( ~ less_or_equal(X0,a)
| ~ defined(b)
| ~ equalish(add(X0,b),b) ),
inference(resolution,[status(thm)],[f162,f61]) ).
fof(f193,plain,
! [X0] :
( ~ less_or_equal(X0,a)
| ~ equalish(add(X0,b),b) ),
inference(forward_subsumption_resolution,[status(thm)],[f189,f76]) ).
fof(f199,plain,
( ~ defined(b)
| ~ less_or_equal(additive_identity,a) ),
inference(resolution,[status(thm)],[f193,f35]) ).
fof(f203,plain,
~ defined(b),
inference(forward_subsumption_resolution,[status(thm)],[f199,f77]) ).
fof(f214,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f203,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD070-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n001.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 15:50:14 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.52 % Refutation found
% 0.16/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.53 % Elapsed time: 0.097779 seconds
% 0.16/0.53 % CPU time: 0.439484 seconds
% 0.16/0.53 % Total memory used: 18.520 MB
% 0.16/0.53 % Net memory used: 18.010 MB
%------------------------------------------------------------------------------