%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 06:16:18 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 19 unt; 0 def)
% Number of atoms : 36 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 15 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(irreflexive,axiom,
! [X] : ~ less(X,X) ).
fof(ord_v600_v800,axiom,
less(v600,v800) ).
fof(wit_eq1,axiom,
w = v600 ).
fof(wit_eq2,axiom,
w = v800 ).
fof(normalize_0_0,plain,
less(v600,v800),
inference(canonicalize,[],[ord_v600_v800]) ).
fof(normalize_0_1,plain,
w = v800,
inference(canonicalize,[],[wit_eq2]) ).
fof(normalize_0_2,plain,
w = v600,
inference(canonicalize,[],[wit_eq1]) ).
fof(normalize_0_3,plain,
! [X] : ~ less(X,X),
inference(canonicalize,[],[irreflexive]) ).
fof(normalize_0_4,plain,
! [X] : ~ less(X,X),
inference(specialize,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
less(v600,v800),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
w = v800,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_2,plain,
w = v600,
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_3,plain,
( w != v600
| w != v800
| v600 = v800 ),
introduced(tautology,[equality,[$cnf( $equal(w,v800) ),[0],$fot(v600)]]) ).
cnf(refute_0_4,plain,
( w != v800
| v600 = v800 ),
inference(resolve,[$cnf( $equal(w,v600) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
v600 = v800,
inference(resolve,[$cnf( $equal(w,v800) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_7,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_0_8,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( v600 != v800
| v800 = v600 ),
inference(subst,[],[refute_0_8:[bind(X0,$fot(v600)),bind(Y,$fot(v800))]]) ).
cnf(refute_0_10,plain,
v800 = v600,
inference(resolve,[$cnf( $equal(v600,v800) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
( v800 != v600
| ~ less(v600,v800)
| less(v600,v600) ),
introduced(tautology,[equality,[$cnf( less(v600,v800) ),[1],$fot(v600)]]) ).
cnf(refute_0_12,plain,
( ~ less(v600,v800)
| less(v600,v600) ),
inference(resolve,[$cnf( $equal(v800,v600) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
less(v600,v600),
inference(resolve,[$cnf( less(v600,v800) )],[refute_0_0,refute_0_12]) ).
cnf(refute_0_14,plain,
~ less(X,X),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_15,plain,
~ less(v600,v600),
inference(subst,[],[refute_0_14:[bind(X,$fot(v600))]]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( less(v600,v600) )],[refute_0_13,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT107+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 7 14:42:11 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.07/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.38
% 0.07/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.15/0.38
%------------------------------------------------------------------------------