%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM630+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 01:41:16 PM UTC 2026
% Result : Theorem 0.09s 0.48s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 13 unt; 3 def)
% Number of atoms : 64 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 52 ( 18 ~; 17 |; 12 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,hypothesis,
( ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ! [W1] :
( ( aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))
& aSet0(W1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
& aFunction0(sdtlpdtrp0(xC,W0)) ) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,hypothesis,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& aSet0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f111,hypothesis,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,hypothesis,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f117,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(negated_conjecture,[status(cth)],[f116]) ).
fof(f407,plain,
( ! [W0] :
( ( ! [W1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0))))
| ~ aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))
| ~ aSet0(W1) )
& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
& aFunction0(sdtlpdtrp0(xC,W0)) )
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xC) = szNzAzT0
& aFunction0(xC) ),
inference(pre_NNF_transformation,[status(thm)],[f86]) ).
fof(f412,plain,
! [X0,X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ~ aSet0(X1)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f454,plain,
aSet0(xP),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f463,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f467,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f468,plain,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f469,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f636,definition,
( sQ20_spl
<=> aElementOf0(xn,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( sQ20_spl
| ~ aElementOf0(xn,szNzAzT0) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f846,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk))
| ~ aSet0(xP)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[f412,f469]) ).
fof(f847,definition,
( sQ54_spl
<=> aSet0(xP) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( sQ54_spl
| ~ aSet0(xP) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,definition,
( sQ55_spl
<=> aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk)) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( sQ55_spl
| ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk)) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,plain,
( ~ sQ55_spl
| ~ sQ54_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f846,f636,f847,f850]) ).
fof(f854,plain,
( sQ55_spl
| ~ aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
inference(forward_demodulation,[status(thm)],[f467,f852]) ).
fof(f855,plain,
( sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f468]) ).
fof(f856,plain,
sQ55_spl,
inference(contradiction_clause,[status(thm)],[f855]) ).
fof(f857,plain,
( sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f454]) ).
fof(f858,plain,
sQ54_spl,
inference(contradiction_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f463]) ).
fof(f861,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f860]) ).
fof(f862,plain,
$false,
inference(sat_refutation,[status(thm)],[f853,f856,f858,f861]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM630+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 02:45:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.43 % Drodi V4.1.1
% 0.09/0.48 % Refutation found
% 0.09/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.52 % Elapsed time: 0.129727 seconds
% 0.14/0.52 % CPU time: 0.422052 seconds
% 0.14/0.52 % Total memory used: 76.912 MB
% 0.14/0.52 % Net memory used: 76.609 MB
%------------------------------------------------------------------------------