%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : NUM489+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.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 05:21:09 AM UTC 2025
% Result : Theorem 0.21s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 4 ~; 0 |; 3 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(sdtpldt0_type,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(xr_type,type,
xr: $i ).
tff(xp_type,type,
xp: $i ).
tff(xn_type,type,
xn: $i ).
tff(aNaturalNumber0_type,type,
aNaturalNumber0: $i > $o ).
tff(sdtmndt0_type,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(1,plain,
( ( sdtpldt0(xp,xr) = xn )
<=> ( sdtpldt0(xp,xr) = xn ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
( aNaturalNumber0(xr)
& ( sdtpldt0(xp,xr) = xn )
& ( xr = sdtmndt0(xn,xp) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
tff(3,plain,
( aNaturalNumber0(xr)
& ( sdtpldt0(xp,xr) = xn ) ),
inference(and_elim,[status(thm)],[2]) ).
tff(4,plain,
sdtpldt0(xp,xr) = xn,
inference(and_elim,[status(thm)],[3]) ).
tff(5,plain,
sdtpldt0(xp,xr) = xn,
inference(modus_ponens,[status(thm)],[4,1]) ).
tff(6,plain,
xn = sdtpldt0(xp,xr),
inference(symmetry,[status(thm)],[5]) ).
tff(7,plain,
( ( xn != sdtpldt0(xp,xr) )
<=> ( xn != sdtpldt0(xp,xr) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,axiom,
xn != sdtpldt0(xp,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(9,plain,
xn != sdtpldt0(xp,xr),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
$false,
inference(unit_resolution,[status(thm)],[9,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM489+3 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 01:18:41 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.21/0.40 % SZS status Theorem
% 0.21/0.40 % SZS output start Proof
% See solution above
% 0.21/0.40 % E exiting
%------------------------------------------------------------------------------