%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM430+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 : n018.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 01:40:30 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 30 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 27 ( 8 ~; 3 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 7 ( 3 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,hypothesis,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& ? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(W0) )
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,conjecture,
? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ ? [W0] :
( sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(W0) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f88,plain,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdtasdt0(xq,sK2_skl) = sdtpldt0(xb,smndt0(xc))
& aInteger0(sK2_skl)
& 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,sK2_skl]),skolemize(W0,sK1_skl),skolemize(W0,sK2_skl)],[f23]) ).
fof(f93,plain,
aInteger0(sK2_skl),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f94,plain,
sdtasdt0(xq,sK2_skl) = sdtpldt0(xb,smndt0(xc)),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f99,plain,
! [W0] :
( sdtasdt0(xq,W0) != sdtpldt0(xb,smndt0(xc))
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f100,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f179,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtasdt0(xq,sK2_skl)
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f94,f100]) ).
fof(f192,plain,
~ aInteger0(sK2_skl),
inference(equality_resolution,[status(thm)],[f179]) ).
fof(f193,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f192,f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM430+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 02:30:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.042178 seconds
% 0.13/0.41 % CPU time: 0.117370 seconds
% 0.13/0.41 % Total memory used: 57.800 MB
% 0.13/0.41 % Net memory used: 57.735 MB
%------------------------------------------------------------------------------