%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG115+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 0.21s 0.53s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 1 def)
% Number of atoms : 100 ( 33 equ)
% Maximal formula atoms : 11 ( 5 avg)
% Number of connectives : 128 ( 48 ~; 37 |; 41 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 44 ( 28 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,hypothesis,
( ! [W0] :
( ( W0 != sz00
& ( aElementOf0(W0,xI)
| ? [W1,W2] :
( sdtpldt0(W1,W2) = W0
& aElementOf0(W2,slsdtgt0(xb))
& aElementOf0(W1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) )
& xu != sz00
& aElementOf0(xu,xI)
& ? [W0,W1] :
( sdtpldt0(W0,W1) = xu
& aElementOf0(W1,slsdtgt0(xb))
& aElementOf0(W0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,conjecture,
? [W0,W1] :
( xu = sdtpldt0(W0,W1)
& ( aElementOf0(W1,slsdtgt0(xb))
| ? [W2] :
( sdtasdt0(xb,W2) = W1
& aElement0(W2) ) )
& ( aElementOf0(W0,slsdtgt0(xa))
| ? [W2] :
( sdtasdt0(xa,W2) = W0
& aElement0(W2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
~ ? [W0,W1] :
( xu = sdtpldt0(W0,W1)
& ( aElementOf0(W1,slsdtgt0(xb))
| ? [W2] :
( sdtasdt0(xb,W2) = W1
& aElement0(W2) ) )
& ( aElementOf0(W0,slsdtgt0(xa))
| ? [W2] :
( sdtasdt0(xa,W2) = W0
& aElement0(W2) ) ) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f268,plain,
( ! [W0] :
( ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu))
| W0 = sz00
| ( ~ aElementOf0(W0,xI)
& ! [W1,W2] :
( sdtpldt0(W1,W2) != W0
| ~ aElementOf0(W2,slsdtgt0(xb))
| ~ aElementOf0(W1,slsdtgt0(xa)) ) ) )
& xu != sz00
& aElementOf0(xu,xI)
& ? [W0,W1] :
( sdtpldt0(W0,W1) = xu
& aElementOf0(W1,slsdtgt0(xb))
& aElementOf0(W0,slsdtgt0(xa)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f269,plain,
( ! [W0] :
( ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu))
| W0 = sz00
| ( ~ aElementOf0(W0,xI)
& ! [W1,W2] :
( sdtpldt0(W1,W2) != W0
| ~ aElementOf0(W2,slsdtgt0(xb))
| ~ aElementOf0(W1,slsdtgt0(xa)) ) ) )
& xu != sz00
& aElementOf0(xu,xI)
& sdtpldt0(sK36_skl,sK37_skl) = xu
& aElementOf0(sK37_skl,slsdtgt0(xb))
& aElementOf0(sK36_skl,slsdtgt0(xa)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36_skl,sK37_skl]),skolemize(W0,sK36_skl),skolemize(W1,sK37_skl)],[f268]) ).
fof(f270,plain,
aElementOf0(sK36_skl,slsdtgt0(xa)),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f271,plain,
aElementOf0(sK37_skl,slsdtgt0(xb)),
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f272,plain,
sdtpldt0(sK36_skl,sK37_skl) = xu,
inference(cnf_transformation,[status(thm)],[f269]) ).
fof(f283,plain,
! [W0,W1] :
( xu != sdtpldt0(W0,W1)
| ( ~ aElementOf0(W1,slsdtgt0(xb))
& ! [W2] :
( sdtasdt0(xb,W2) != W1
| ~ aElement0(W2) ) )
| ( ~ aElementOf0(W0,slsdtgt0(xa))
& ! [W2] :
( sdtasdt0(xa,W2) != W0
| ~ aElement0(W2) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f48]) ).
fof(f284,definition,
! [W0] :
( sP5_prd(W0)
<=> ( ~ aElementOf0(W0,slsdtgt0(xa))
& ! [W2] :
( sdtasdt0(xa,W2) != W0
| ~ aElement0(W2) ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f285,plain,
! [W0,W1] :
( xu != sdtpldt0(W0,W1)
| ( ~ aElementOf0(W1,slsdtgt0(xb))
& ! [W2] :
( sdtasdt0(xb,W2) != W1
| ~ aElement0(W2) ) )
| sP5_prd(W0) ),
inference(formula_renaming,[status(thm)],[f283,f284]) ).
fof(f287,plain,
! [X0,X1] :
( xu != sdtpldt0(X0,X1)
| ~ aElementOf0(X1,slsdtgt0(xb))
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f285]) ).
fof(f323,plain,
! [W0] :
( ( aElementOf0(W0,slsdtgt0(xa))
| ? [W2] :
( sdtasdt0(xa,W2) = W0
& aElement0(W2) )
| sP5_prd(W0) )
& ( ( ~ aElementOf0(W0,slsdtgt0(xa))
& ! [W2] :
( sdtasdt0(xa,W2) != W0
| ~ aElement0(W2) ) )
| ~ sP5_prd(W0) ) ),
inference(NNF_transformation,[status(thm)],[f284]) ).
fof(f324,plain,
( ! [W0] :
( aElementOf0(W0,slsdtgt0(xa))
| ? [W2] :
( sdtasdt0(xa,W2) = W0
& aElement0(W2) )
| sP5_prd(W0) )
& ! [W0] :
( ( ~ aElementOf0(W0,slsdtgt0(xa))
& ! [W2] :
( sdtasdt0(xa,W2) != W0
| ~ aElement0(W2) ) )
| ~ sP5_prd(W0) ) ),
inference(miniscoping,[status(thm)],[f323]) ).
fof(f325,plain,
( ! [W0] :
( aElementOf0(W0,slsdtgt0(xa))
| ( sdtasdt0(xa,sK40_skl(W0)) = W0
& aElement0(sK40_skl(W0)) )
| sP5_prd(W0) )
& ! [W0] :
( ( ~ aElementOf0(W0,slsdtgt0(xa))
& ! [W2] :
( sdtasdt0(xa,W2) != W0
| ~ aElement0(W2) ) )
| ~ sP5_prd(W0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40_skl]),skolemize(W2,sK40_skl(W0))],[f324]) ).
fof(f327,plain,
! [X0] :
( ~ aElementOf0(X0,slsdtgt0(xa))
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f511,plain,
~ sP5_prd(sK36_skl),
inference(resolution,[status(thm)],[f270,f327]) ).
fof(f512,plain,
! [X0] :
( xu != sdtpldt0(X0,sK37_skl)
| sP5_prd(X0) ),
inference(resolution,[status(thm)],[f271,f287]) ).
fof(f572,plain,
sP5_prd(sK36_skl),
inference(resolution,[status(thm)],[f272,f512]) ).
fof(f576,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f572,f511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG115+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.45 % Computer : n020.cluster.edu
% 0.16/0.45 % Model : x86_64 x86_64
% 0.16/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.45 % Memory : 8046.5625MB
% 0.16/0.45 % OS : Linux 6.8.0-71-generic
% 0.16/0.45 % CPULimit : 300
% 0.16/0.45 % WCLimit : 300
% 0.16/0.45 % DateTime : Mon Sep 21 04:22:04 UTC 2026
% 0.16/0.46 % CPUTime :
% 0.16/0.48 % Drodi V4.1.1
% 0.21/0.53 % Refutation found
% 0.21/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.62 % Elapsed time: 0.150200 seconds
% 0.25/0.62 % CPU time: 0.282421 seconds
% 0.25/0.62 % Total memory used: 49.645 MB
% 0.25/0.62 % Net memory used: 49.459 MB
%------------------------------------------------------------------------------