%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG116+4 : TPTP v9.3.1. Released v4.0.0.
% 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 02:05:01 PM UTC 2026
% Result : Theorem 0.07s 0.33s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 42 ( 17 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 42 ( 17 ~; 9 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,hypothesis,
( xu = sdtpldt0(xk,xl)
& aElementOf0(xl,slsdtgt0(xb))
& ? [W0] :
( sdtasdt0(xb,W0) = xl
& aElement0(W0) )
& aElementOf0(xk,slsdtgt0(xa))
& ? [W0] :
( sdtasdt0(xa,W0) = xk
& aElement0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
? [W0,W1] :
( xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1))
& aElement0(W1)
& aElement0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ ? [W0,W1] :
( xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1))
& aElement0(W1)
& aElement0(W0) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f284,plain,
( xu = sdtpldt0(xk,xl)
& aElementOf0(xl,slsdtgt0(xb))
& sdtasdt0(xb,sK39_skl) = xl
& aElement0(sK39_skl)
& aElementOf0(xk,slsdtgt0(xa))
& sdtasdt0(xa,sK38_skl) = xk
& aElement0(sK38_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl,sK39_skl]),skolemize(W0,sK38_skl),skolemize(W0,sK39_skl)],[f47]) ).
fof(f285,plain,
aElement0(sK38_skl),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f286,plain,
sdtasdt0(xa,sK38_skl) = xk,
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f288,plain,
aElement0(sK39_skl),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f289,plain,
sdtasdt0(xb,sK39_skl) = xl,
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f291,plain,
xu = sdtpldt0(xk,xl),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f292,plain,
! [W0,W1] :
( xu != sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1))
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f49]) ).
fof(f293,plain,
! [X0,X1] :
( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f292]) ).
fof(f629,plain,
! [X0] :
( xu != sdtpldt0(xk,sdtasdt0(xb,X0))
| ~ aElement0(X0)
| ~ aElement0(sK38_skl) ),
inference(paramodulation,[status(thm)],[f286,f293]) ).
fof(f639,plain,
! [X0] :
( xu != sdtpldt0(xk,sdtasdt0(xb,X0))
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f629,f285]) ).
fof(f672,plain,
( xu != sdtpldt0(xk,xl)
| ~ aElement0(sK39_skl) ),
inference(paramodulation,[status(thm)],[f289,f639]) ).
fof(f676,plain,
( xu != xu
| ~ aElement0(sK39_skl) ),
inference(forward_demodulation,[status(thm)],[f291,f672]) ).
fof(f677,plain,
~ aElement0(sK39_skl),
inference(trivial_equality_resolution,[status(thm)],[f676]) ).
fof(f678,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f677,f288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG116+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Mon Sep 21 04:20:53 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.31 % Drodi V4.1.1
% 0.07/0.33 % Refutation found
% 0.07/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.35 % Elapsed time: 0.045612 seconds
% 0.07/0.35 % CPU time: 0.142932 seconds
% 0.07/0.35 % Total memory used: 107.936 MB
% 0.07/0.35 % Net memory used: 107.627 MB
%------------------------------------------------------------------------------