%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM604+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 : 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 01:41:10 PM UTC 2026
% Result : Theorem 5.66s 1.16s
% Output : CNFRefutation 5.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 8 unt; 2 def)
% Number of atoms : 52 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 42 ( 14 ~; 12 |; 11 &)
% ( 2 <=>; 3 =>; 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 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(f99,hypothesis,
( sdtlpdtrp0(xe,xi) = xx
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> aElementOf0(W0,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,conjecture,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
~ aElementOf0(xx,xS),
inference(negated_conjecture,[status(cth)],[f101]) ).
fof(f534,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(f537,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f591,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f592,plain,
sdtlpdtrp0(xe,xi) = xx,
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f593,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
& ! [W0] :
( aElementOf0(W0,xS)
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xi)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f100]) ).
fof(f594,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f596,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f4000,definition,
( sQ414_spl
<=> aElementOf0(xi,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f4002,plain,
( sQ414_spl
| ~ aElementOf0(xi,szNzAzT0) ),
inference(component_clause,[status(thm)],[f4000]) ).
fof(f4008,plain,
( sQ414_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4002,f591]) ).
fof(f4009,plain,
sQ414_spl,
inference(contradiction_clause,[status(thm)],[f4008]) ).
fof(f5815,plain,
( aElementOf0(sdtlpdtrp0(xe,xi),xS)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[f537,f594]) ).
fof(f5820,definition,
( sQ643_spl
<=> aElementOf0(sdtlpdtrp0(xe,xi),xS) ),
introduced(definition,[new_symbols(definition,[sQ643_spl])],[split_symbol_definition]) ).
fof(f5821,plain,
( ~ sQ643_spl
| aElementOf0(sdtlpdtrp0(xe,xi),xS) ),
inference(component_clause,[status(thm)],[f5820]) ).
fof(f5823,plain,
( sQ643_spl
| ~ sQ414_spl ),
inference(split_clause,[status(thm)],[f5815,f4000,f5820]) ).
fof(f5831,plain,
( ~ sQ643_spl
| aElementOf0(xx,xS) ),
inference(forward_demodulation,[status(thm)],[f592,f5821]) ).
fof(f5832,plain,
( ~ sQ643_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5831,f596]) ).
fof(f5833,plain,
~ sQ643_spl,
inference(contradiction_clause,[status(thm)],[f5832]) ).
fof(f5834,plain,
$false,
inference(sat_refutation,[status(thm)],[f4009,f5823,f5833]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM604+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.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 02:43:51 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 5.66/1.16 % Refutation found
% 5.66/1.16 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.66/1.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.66/1.19 % Elapsed time: 0.824344 seconds
% 5.66/1.19 % CPU time: 6.227030 seconds
% 5.66/1.19 % Total memory used: 191.667 MB
% 5.66/1.19 % Net memory used: 184.556 MB
%------------------------------------------------------------------------------