%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n016.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 : Tue Sep 8 06:24:14 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 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(v800_type,type,
v800: $i ).
tff(v600_type,type,
v600: $i ).
tff(w_type,type,
w: $i ).
tff(1,plain,
( ( w = v800 )
<=> ( w = v800 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
w = v800,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wit_eq2) ).
tff(3,plain,
w = v800,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
( ( w = v600 )
<=> ( w = v600 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,axiom,
w = v600,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wit_eq1) ).
tff(6,plain,
w = v600,
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
v600 = w,
inference(symmetry,[status(thm)],[6]) ).
tff(8,plain,
v600 = v800,
inference(transitivity,[status(thm)],[7,3]) ).
tff(9,plain,
( ( v600 != v800 )
<=> ( v600 != v800 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,axiom,
v600 != v800,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct) ).
tff(11,plain,
v600 != v800,
inference(modus_ponens,[status(thm)],[10,9]) ).
tff(12,plain,
$false,
inference(unit_resolution,[status(thm)],[11,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.09/0.34 % Computer : n016.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 14:47:51 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.41 % SZS status Unsatisfiable
% 0.13/0.41 % SZS output start Proof
% See solution above
% 0.13/0.41 % E exiting
%------------------------------------------------------------------------------