%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM519+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 : Fri Sep 25 02:20:14 PM UTC 2026
% Result : Theorem 23.25s 3.38s
% Output : Proof 23.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 42 ( 12 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 44 ( 16 ~; 10 |; 18 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 4 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50,hypothesis,
( ( doDivides0(xr,xm)
& ? [W0] :
( xm = sdtasdt0(xr,W0)
& aNaturalNumber0(W0) ) )
| ( doDivides0(xr,xn)
& ? [W0] :
( xn = sdtasdt0(xr,W0)
& aNaturalNumber0(W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2449) ).
fof(f50_nnf,plain,
( ( doDivides0(xr,xm)
& ? [W0] :
( xm = sdtasdt0(xr,W0)
& aNaturalNumber0(W0) ) )
| ( doDivides0(xr,xn)
& ? [W0] :
( xn = sdtasdt0(xr,W0)
& aNaturalNumber0(W0) ) ) ),
inference(nnf_transformation,[status(thm)],[f50]) ).
fof(f50_sk,plain,
( ( doDivides0(xr,xm)
& xm = sdtasdt0(xr,sk16)
& aNaturalNumber0(sk16) )
| ( doDivides0(xr,xn)
& xn = sdtasdt0(xr,sk15)
& aNaturalNumber0(sk15) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk15,sk16])],[f50_nnf]) ).
cnf(c252,plain,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
fof(f52,hypothesis,
~ ( doDivides0(xr,xm)
| ? [W0] :
( xm = sdtasdt0(xr,W0)
& aNaturalNumber0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2698) ).
fof(f52_nnf,plain,
( ~ doDivides0(xr,xm)
& ! [W0] :
( xm != sdtasdt0(xr,W0)
| ~ aNaturalNumber0(W0) ) ),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
! [W0] :
( ~ doDivides0(xr,xm)
& ( xm != sdtasdt0(xr,W0)
| ~ aNaturalNumber0(W0) ) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c256,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p317,plain,
doDivides0(xr,xn),
inference(resolution,[status(thm)],[c252,c256]) ).
fof(f51,hypothesis,
~ ( doDivides0(xr,xn)
| ? [W0] :
( xn = sdtasdt0(xr,W0)
& aNaturalNumber0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f51_nnf,plain,
( ~ doDivides0(xr,xn)
& ! [W0] :
( xn != sdtasdt0(xr,W0)
| ~ aNaturalNumber0(W0) ) ),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
! [W0] :
( ~ doDivides0(xr,xn)
& ( xn != sdtasdt0(xr,W0)
| ~ aNaturalNumber0(W0) ) ),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c254,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(p318,plain,
$false,
inference(resolution,[status(thm)],[p317,c254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM519+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n003.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 : Thu Sep 24 04:26:35 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.25/3.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.25/3.38 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------