%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM837+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 0.06s 10.34s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 24 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Vd198,Vd199] :
( less(Vd199,Vd198)
<=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [Vd273] : vd269 != vplus(vd268,Vd273),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
! [X0] : vd269 != vplus(vd268,X0),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f27,plain,
less(vd268,vd269),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f50,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(f51,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)],[f50]) ).
fof(f52,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))],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( X1 = vplus(X0,sK0_skl(X0,X1))
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f201,plain,
~ less(vd268,vd269),
inference(resolution,[status(thm)],[f53,f25]) ).
fof(f206,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f201,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM837+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/10.31 % Computer : n012.cluster.edu
% 0.06/10.31 % Model : x86_64 x86_64
% 0.06/10.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/10.31 % Memory : 8046.5625MB
% 0.06/10.31 % OS : Linux 6.8.0-71-generic
% 0.06/10.31 % CPULimit : 300
% 0.06/10.31 % WCLimit : 300
% 0.06/10.31 % DateTime : Mon Sep 21 03:12:19 UTC 2026
% 0.06/10.31 % CPUTime :
% 0.06/10.32 % Drodi V4.1.1
% 0.06/10.34 % Refutation found
% 0.06/10.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/10.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/10.37 % Elapsed time: 0.040898 seconds
% 0.06/10.37 % CPU time: 0.113542 seconds
% 0.06/10.37 % Total memory used: 102.672 MB
% 0.06/10.37 % Net memory used: 102.380 MB
%------------------------------------------------------------------------------