%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM624+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 : n004.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 01:41:14 PM UTC 2026
% Result : Theorem 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 73 ( 15 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 25 ~; 21 |; 16 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 16 ( 15 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [W0,W1] :
( ( aElementOf0(W1,szNzAzT0)
& aElementOf0(W0,szNzAzT0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,hypothesis,
( aSubsetOf0(xQ,szNzAzT0)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,hypothesis,
( xp = szmzizndt0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,hypothesis,
( ? [W0] :
( sdtlpdtrp0(xe,W0) = xx
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& aElementOf0(xx,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,hypothesis,
! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f119,hypothesis,
( aElementOf0(xx,xQ)
& aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f121,conjecture,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f122,negated_conjecture,
xp != xx,
inference(negated_conjecture,[status(cth)],[f121]) ).
fof(f227,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElementOf0(W1,szNzAzT0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f228,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f621,plain,
( aSubsetOf0(xQ,szNzAzT0)
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W0,xQ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f101]) ).
fof(f622,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f630,plain,
( xp = szmzizndt0(xQ)
& ! [W0] :
( sdtlseqdt0(xp,W0)
| ~ aElementOf0(W0,xQ) )
& aElementOf0(xp,xQ) ),
inference(pre_NNF_transformation,[status(thm)],[f103]) ).
fof(f631,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f632,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f663,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f666,plain,
( sdtlpdtrp0(xe,sK38_skl) = xx
& aElementOf0(sK38_skl,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xx,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl]),skolemize(W0,sK38_skl)],[f114]) ).
fof(f667,plain,
aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f672,plain,
! [W0] :
( sdtlseqdt0(xx,W0)
| ~ aElementOf0(W0,sdtlpdtrp0(xN,xm)) ),
inference(pre_NNF_transformation,[status(thm)],[f116]) ).
fof(f673,plain,
! [X0] :
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
inference(cnf_transformation,[status(thm)],[f672]) ).
fof(f682,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f690,plain,
xp != xx,
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f948,plain,
sdtlseqdt0(xx,xp),
inference(resolution,[status(thm)],[f673,f682]) ).
fof(f1258,plain,
aElementOf0(xp,szNzAzT0),
inference(resolution,[status(thm)],[f622,f631]) ).
fof(f1297,plain,
( xx = xp
| ~ sdtlseqdt0(xp,xx)
| ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0) ),
inference(resolution,[status(thm)],[f228,f948]) ).
fof(f1323,plain,
( xx = xp
| ~ sdtlseqdt0(xp,xx)
| ~ aElementOf0(xp,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1297,f667]) ).
fof(f1461,plain,
( xx = xp
| ~ sdtlseqdt0(xp,xx) ),
inference(forward_subsumption_resolution,[status(thm)],[f1323,f1258]) ).
fof(f1462,plain,
( ~ aElementOf0(xx,xQ)
| xx = xp ),
inference(resolution,[status(thm)],[f1461,f632]) ).
fof(f1464,plain,
~ aElementOf0(xx,xQ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f690]) ).
fof(f1466,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1464,f663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM624+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n004.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 02:45:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.40 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.46 % Elapsed time: 0.082336 seconds
% 0.14/0.46 % CPU time: 0.287200 seconds
% 0.14/0.46 % Total memory used: 128.418 MB
% 0.14/0.46 % Net memory used: 127.908 MB
%------------------------------------------------------------------------------