TSTP Solution File: NUM514+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:34:59 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 28 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 27 ( 9 ~; 5 |; 11 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,hypothesis,
( aNaturalNumber0(sdtsldt0(xk,xr))
& xk = sdtasdt0(xr,sdtsldt0(xk,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,conjecture,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [W0] :
( aNaturalNumber0(W0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,W0) )
| doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [W0] :
( aNaturalNumber0(W0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,W0) )
| doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f271,plain,
aNaturalNumber0(sdtsldt0(xk,xr)),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f275,plain,
sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f276,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& ! [W0] :
( ~ aNaturalNumber0(W0)
| sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,W0) )
& ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ),
inference(pre_NNF_transformation,[status(esa)],[f57]) ).
fof(f279,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,X0) ),
inference(cnf_transformation,[status(esa)],[f276]) ).
fof(f349,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(xp,X0) ),
inference(forward_demodulation,[status(thm)],[f275,f279]) ).
fof(f352,plain,
~ aNaturalNumber0(sdtsldt0(xk,xr)),
inference(equality_resolution,[status(esa)],[f349]) ).
fof(f353,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f352,f271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:49:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.42 % Refutation found
% 0.20/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.42 % Elapsed time: 0.071886 seconds
% 0.20/0.42 % CPU time: 0.426211 seconds
% 0.20/0.42 % Total memory used: 68.047 MB
% 0.20/0.42 % Net memory used: 67.616 MB
%------------------------------------------------------------------------------