%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM620+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 01:41:13 PM UTC 2026
% Result : Theorem 3.81s 1.00s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 6 unt; 2 def)
% Number of atoms : 56 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 48 ( 15 ~; 12 |; 13 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,hypothesis,
( ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) )
& aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0)) ) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,hypothesis,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f117,conjecture,
( ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f118,negated_conjecture,
~ ( ( aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(negated_conjecture,[status(cth)],[f117]) ).
fof(f550,plain,
( ! [W0] :
( ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( sdtlseqdt0(sdtlpdtrp0(xe,W0),W1)
| ~ aElementOf0(W1,sdtlpdtrp0(xN,W0)) )
& aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0)) )
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xe) = szNzAzT0
& aFunction0(xe) ),
inference(pre_NNF_transformation,[status(thm)],[f91]) ).
fof(f553,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f666,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f667,plain,
xx = sdtlpdtrp0(xe,xm),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f670,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xm)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f118]) ).
fof(f671,plain,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[status(thm)],[f670]) ).
fof(f673,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[status(thm)],[f670]) ).
fof(f2028,definition,
( sQ160_spl
<=> aElementOf0(xm,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f2030,plain,
( sQ160_spl
| ~ aElementOf0(xm,szNzAzT0) ),
inference(component_clause,[status(thm)],[f2028]) ).
fof(f2047,plain,
( sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2030,f666]) ).
fof(f2048,plain,
sQ160_spl,
inference(contradiction_clause,[status(thm)],[f2047]) ).
fof(f6557,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(resolution,[status(thm)],[f671,f553]) ).
fof(f6560,definition,
( sQ679_spl
<=> aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).
fof(f6561,plain,
( ~ sQ679_spl
| aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(component_clause,[status(thm)],[f6560]) ).
fof(f6563,plain,
( ~ sQ160_spl
| sQ679_spl ),
inference(split_clause,[status(thm)],[f6557,f6560,f2028]) ).
fof(f6565,plain,
( ~ sQ679_spl
| aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(forward_demodulation,[status(thm)],[f667,f6561]) ).
fof(f6566,plain,
( ~ sQ679_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6565,f673]) ).
fof(f6567,plain,
~ sQ679_spl,
inference(contradiction_clause,[status(thm)],[f6566]) ).
fof(f6568,plain,
$false,
inference(sat_refutation,[status(thm)],[f2048,f6563,f6567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM620+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 02:45:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.40 % Drodi V4.1.1
% 3.81/1.00 % Refutation found
% 3.81/1.00 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.81/1.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.97/1.07 % Elapsed time: 0.680271 seconds
% 3.97/1.07 % CPU time: 4.839934 seconds
% 3.97/1.07 % Total memory used: 170.376 MB
% 3.97/1.07 % Net memory used: 165.885 MB
%------------------------------------------------------------------------------