%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUM519+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 : Sat Jun 21 05:21:15 AM UTC 2025
% Result : Theorem 0.14s 0.42s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 8 ~; 8 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(doDivides0_type,type,
doDivides0: ( $i * $i ) > $o ).
tff(xn_type,type,
xn: $i ).
tff(xr_type,type,
xr: $i ).
tff(xm_type,type,
xm: $i ).
tff(1,plain,
( ~ doDivides0(xr,xn)
<=> ~ doDivides0(xr,xn) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
~ doDivides0(xr,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
tff(3,plain,
~ doDivides0(xr,xn),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ~ doDivides0(xr,xm)
<=> ~ doDivides0(xr,xm) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
~ doDivides0(xr,xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2698) ).
tff(6,plain,
~ doDivides0(xr,xm),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
( ( doDivides0(xr,xn)
| doDivides0(xr,xm) )
<=> ( doDivides0(xr,xn)
| doDivides0(xr,xm) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,axiom,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2449) ).
tff(9,plain,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
inference(modus_ponens,[status(thm)],[9,7]) ).
tff(11,plain,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
inference(modus_ponens,[status(thm)],[10,7]) ).
tff(12,plain,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
inference(modus_ponens,[status(thm)],[11,7]) ).
tff(13,plain,
( doDivides0(xr,xn)
| doDivides0(xr,xm) ),
inference(modus_ponens,[status(thm)],[12,7]) ).
tff(14,plain,
$false,
inference(unit_resolution,[status(thm)],[13,6,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : NUM519+1 : TPTP v9.0.0. Released v4.0.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Jun 20 01:21:54 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.42 % SZS status Theorem
% 0.14/0.42 % SZS output start Proof
% See solution above
% 0.14/0.42 % E exiting
%------------------------------------------------------------------------------