%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG101+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 02:04:58 PM UTC 2026
% Result : Theorem 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 26 ( 9 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 22 ( 6 ~; 2 |; 14 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,hypothesis,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [W0] :
( sdtasdt0(xc,W0) = xy
& aElement0(W0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [W0] :
( sdtasdt0(xc,W0) = xx
& aElement0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,conjecture,
? [W0] :
( sdtasdt0(xc,W0) = xx
& aElement0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
~ ? [W0] :
( sdtasdt0(xc,W0) = xx
& aElement0(W0) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f193,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& sdtasdt0(xc,sK21_skl) = xy
& aElement0(sK21_skl)
& aElementOf0(xx,slsdtgt0(xc))
& sdtasdt0(xc,sK20_skl) = xx
& aElement0(sK20_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl]),skolemize(W0,sK20_skl),skolemize(W0,sK21_skl)],[f39]) ).
fof(f194,plain,
aElement0(sK20_skl),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
sdtasdt0(xc,sK20_skl) = xx,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f201,plain,
! [W0] :
( sdtasdt0(xc,W0) != xx
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f202,plain,
! [X0] :
( sdtasdt0(xc,X0) != xx
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f233,plain,
~ aElement0(sK20_skl),
inference(resolution,[status(thm)],[f195,f202]) ).
fof(f239,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f233,f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG101+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:19:48 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.50 % Elapsed time: 0.136468 seconds
% 0.14/0.50 % CPU time: 0.101288 seconds
% 0.14/0.50 % Total memory used: 6.620 MB
% 0.14/0.50 % Net memory used: 6.614 MB
%------------------------------------------------------------------------------