%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM432+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:40:31 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 36 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 15 ~; 11 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> aInteger0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
( sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb))
& aInteger0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
( sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc))
& aInteger0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,hypothesis,
sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,conjecture,
( sdteqdtlpzmzozddtrp0(xa,xc,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| ? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xc))
& aInteger0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ ( sdteqdtlpzmzozddtrp0(xa,xc,xq)
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| ? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xc))
& aInteger0(W0) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f36,plain,
! [W0,W1] :
( aInteger0(sdtpldt0(W0,W1))
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f37,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f99,plain,
aInteger0(xn),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f101,plain,
aInteger0(xm),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f103,plain,
sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f104,plain,
( ~ sdteqdtlpzmzozddtrp0(xa,xc,xq)
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
& ! [W0] :
( sdtasdt0(xq,W0) != sdtpldt0(xa,smndt0(xc))
| ~ aInteger0(W0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f105,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xc))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f235,plain,
~ aInteger0(sdtpldt0(xn,xm)),
inference(resolution,[status(thm)],[f103,f105]) ).
fof(f259,plain,
( ~ aInteger0(xm)
| ~ aInteger0(xn) ),
inference(resolution,[status(thm)],[f235,f37]) ).
fof(f260,plain,
~ aInteger0(xm),
inference(forward_subsumption_resolution,[status(thm)],[f259,f99]) ).
fof(f261,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f260,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM432+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 02:32:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.069667 seconds
% 0.14/0.44 % CPU time: 0.189404 seconds
% 0.14/0.44 % Total memory used: 61.951 MB
% 0.14/0.44 % Net memory used: 61.827 MB
%------------------------------------------------------------------------------