%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM425+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 : 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 01:40:29 PM UTC 2026
% Result : Theorem 0.17s 0.50s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 22 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 19 ( 8 ~; 3 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 3 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,hypothesis,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,conjecture,
? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
~ ? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(W0) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f83,plain,
( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdtasdt0(xq,sK1_skl) = sdtpldt0(xa,smndt0(xb))
& aInteger0(sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W0,sK1_skl)],[f22]) ).
fof(f84,plain,
aInteger0(sK1_skl),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f85,plain,
sdtasdt0(xq,sK1_skl) = sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f88,plain,
! [W0] :
( sdtasdt0(xq,W0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f89,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f94,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtasdt0(xq,sK1_skl)
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f85,f89]) ).
fof(f100,plain,
~ aInteger0(sK1_skl),
inference(equality_resolution,[status(thm)],[f94]) ).
fof(f101,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f100,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM425+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 02:31:35 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.50 % Refutation found
% 0.17/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.53 % Elapsed time: 0.079338 seconds
% 0.26/0.53 % CPU time: 0.215698 seconds
% 0.26/0.53 % Total memory used: 102.447 MB
% 0.26/0.53 % Net memory used: 102.268 MB
%------------------------------------------------------------------------------