%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 19.70s 4.42s
% Output : Proof 19.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50,hypothesis,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2449) ).
fof(f50_nnf,plain,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(nnf_transformation,[status(thm)],[f50]) ).
fof(f50_sk,plain,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(skolemisation,[status(esa)],[f50_nnf]) ).
cnf(c94,plain,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
fof(f52,hypothesis,
~ doDivides0(xr,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2698) ).
fof(f52_nnf,plain,
~ doDivides0(xr,xm),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
~ doDivides0(xr,xm),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c96,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
cnf(p106,plain,
doDivides0(xr,xn),
inference(resolution,[status(thm)],[c94,c96]) ).
fof(f51,hypothesis,
~ doDivides0(xr,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f51_nnf,plain,
~ doDivides0(xr,xn),
inference(nnf_transformation,[status(thm)],[f51]) ).
fof(f51_sk,plain,
~ doDivides0(xr,xn),
inference(skolemisation,[status(esa)],[f51_nnf]) ).
cnf(c95,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[status(esa)],[f51_sk]) ).
cnf(p107,plain,
$false,
inference(resolution,[status(thm)],[p106,c95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.42 % Computer : n005.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Thu Sep 24 04:24:34 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.70/4.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.70/4.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------