%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM850+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:41:50 PM UTC 2026
% Result : Theorem 0.16s 5.43s
% Output : CNFRefutation 0.16s
% 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,
? [Vd473] : vd470 = vplus(vd471,Vd473),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [Vd473] : vd470 = vplus(vd471,Vd473),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
greater(vd470,vd471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [Vd193,Vd194] :
( greater(Vd194,Vd193)
<=> ? [Vd196] : Vd194 = vplus(Vd193,Vd196) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,plain,
! [Vd473] : vd470 != vplus(vd471,Vd473),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
! [X0] : vd470 != vplus(vd471,X0),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
greater(vd470,vd471),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f130,plain,
! [Vd193,Vd194] :
( ( ! [Vd196] : Vd194 != vplus(Vd193,Vd196)
| greater(Vd194,Vd193) )
& ( ? [Vd196] : Vd194 = vplus(Vd193,Vd196)
| ~ greater(Vd194,Vd193) ) ),
inference(NNF_transformation,[status(thm)],[f36]) ).
fof(f131,plain,
( ! [Vd193,Vd194] :
( ! [Vd196] : Vd194 != vplus(Vd193,Vd196)
| greater(Vd194,Vd193) )
& ! [Vd193,Vd194] :
( ? [Vd196] : Vd194 = vplus(Vd193,Vd196)
| ~ greater(Vd194,Vd193) ) ),
inference(miniscoping,[status(thm)],[f130]) ).
fof(f132,plain,
( ! [Vd193,Vd194] :
( ! [Vd196] : Vd194 != vplus(Vd193,Vd196)
| greater(Vd194,Vd193) )
& ! [Vd193,Vd194] :
( Vd194 = vplus(Vd193,sK1_skl(Vd194,Vd193))
| ~ greater(Vd194,Vd193) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Vd196,sK1_skl(Vd194,Vd193))],[f131]) ).
fof(f133,plain,
! [X0,X1] :
( X0 = vplus(X1,sK1_skl(X0,X1))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f1106,plain,
vd470 = vplus(vd471,sK1_skl(vd470,vd471)),
inference(resolution,[status(thm)],[f133,f55]) ).
fof(f1108,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1106,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM850+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n015.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Mon Sep 21 03:16:41 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.39 % Drodi V4.1.1
% 0.16/5.43 % Refutation found
% 0.16/5.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/5.46 % Elapsed time: 0.065173 seconds
% 0.16/5.46 % CPU time: 0.241638 seconds
% 0.16/5.46 % Total memory used: 105.442 MB
% 0.16/5.46 % Net memory used: 105.266 MB
%------------------------------------------------------------------------------