%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM837+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:41:46 PM UTC 2026
% Result : Theorem 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 24 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 7 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 19 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [Vd273] : vd269 = vplus(vd268,Vd273),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [Vd273] : vd269 = vplus(vd268,Vd273),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
less(vd268,vd269),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Vd198,Vd199] :
( less(Vd199,Vd198)
<=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [Vd273] : vd269 != vplus(vd268,Vd273),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f34,plain,
! [X0] : vd269 != vplus(vd268,X0),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f36,plain,
less(vd268,vd269),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
! [Vd198,Vd199] :
( ( ! [Vd201] : Vd198 != vplus(Vd199,Vd201)
| less(Vd199,Vd198) )
& ( ? [Vd201] : Vd198 = vplus(Vd199,Vd201)
| ~ less(Vd199,Vd198) ) ),
inference(NNF_transformation,[status(thm)],[f15]) ).
fof(f60,plain,
( ! [Vd198,Vd199] :
( ! [Vd201] : Vd198 != vplus(Vd199,Vd201)
| less(Vd199,Vd198) )
& ! [Vd198,Vd199] :
( ? [Vd201] : Vd198 = vplus(Vd199,Vd201)
| ~ less(Vd199,Vd198) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f61,plain,
( ! [Vd198,Vd199] :
( ! [Vd201] : Vd198 != vplus(Vd199,Vd201)
| less(Vd199,Vd198) )
& ! [Vd198,Vd199] :
( Vd198 = vplus(Vd199,sK0_skl(Vd199,Vd198))
| ~ less(Vd199,Vd198) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Vd201,sK0_skl(Vd199,Vd198))],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( X1 = vplus(X0,sK0_skl(X0,X1))
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f256,plain,
vd269 = vplus(vd268,sK0_skl(vd268,vd269)),
inference(resolution,[status(thm)],[f62,f36]) ).
fof(f262,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f256,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM837+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.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 03:13:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.041668 seconds
% 0.14/0.41 % CPU time: 0.101235 seconds
% 0.14/0.41 % Total memory used: 22.904 MB
% 0.14/0.41 % Net memory used: 22.866 MB
%------------------------------------------------------------------------------