%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT104+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n027.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 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 13 ~; 1 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 9 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(less_type,type,
less: ( $i * $i ) > $o ).
tff(v0_type,type,
v0: $i ).
tff(1,plain,
( less(v0,v0)
<=> less(v0,v0) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
less(v0,v0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contradiction) ).
tff(3,plain,
less(v0,v0),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [X: $i] :
refl(( ~ less(X,X)
<=> ~ less(X,X) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [X: $i] : ~ less(X,X)
<=> ! [X: $i] : ~ less(X,X) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ! [X: $i] : ~ less(X,X)
<=> ! [X: $i] : ~ less(X,X) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,axiom,
! [X: $i] : ~ less(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+0.ax',irreflexive) ).
tff(8,plain,
! [X: $i] : ~ less(X,X),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [X: $i] : ~ less(X,X),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X: $i] : ~ less(X,X),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ~ ! [X: $i] : ~ less(X,X)
| ~ less(v0,v0) ),
inference(quant_inst,[status(thm)],[]) ).
tff(12,plain,
$false,
inference(unit_resolution,[status(thm)],[11,10,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT104+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.07/0.32 % Computer : n027.cluster.edu
% 0.07/0.32 % Model : x86_64 x86_64
% 0.07/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.32 % Memory : 8046.5625MB
% 0.07/0.32 % OS : Linux 6.8.0-71-generic
% 0.07/0.32 % CPULimit : 300
% 0.07/0.32 % WCLimit : 300
% 0.07/0.32 % DateTime : Mon Sep 7 14:43:17 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.13/0.39 % SZS status Unsatisfiable
% 0.13/0.39 % SZS output start Proof
% See solution above
% 0.13/0.40 % E exiting
%------------------------------------------------------------------------------