%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT052+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 06:16:11 AM UTC 2026
% Result : Theorem 0.10s 0.37s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 68 ( 34 ~; 23 |; 5 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(definition_2,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( organization(X)
& ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) ) ) ) ).
fof(background_assumption_1,conjecture,
! [X,T] : ~ dissimilar(X,T,T) ).
fof(subgoal_0,plain,
! [X,T] : ~ dissimilar(X,T,T),
inference(strip,[],[background_assumption_1]) ).
fof(negate_0_0,plain,
~ ! [X,T] : ~ dissimilar(X,T,T),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [T,X] : dissimilar(X,T,T),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T,skolemFOFtoCNF_T),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_3,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
<=> ( ~ organization(X)
| ( ~ is_aligned(X,T)
<=> ~ is_aligned(X,T0) ) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [T,T0,X] :
( ( ~ dissimilar(X,T0,T)
| organization(X) )
& ( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) )
& ( ~ dissimilar(X,T0,T)
| is_aligned(X,T)
| is_aligned(X,T0) )
& ( ~ is_aligned(X,T)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T0) )
& ( ~ is_aligned(X,T0)
| ~ organization(X)
| dissimilar(X,T0,T)
| is_aligned(X,T) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
| is_aligned(X,T)
| is_aligned(X,T0) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [T,T0,X] :
( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) ),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ dissimilar(X,T0,T)
| is_aligned(X,T)
| is_aligned(X,T0) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( ~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T,skolemFOFtoCNF_T)
| is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T)),bind(T0,$fot(skolemFOFtoCNF_T)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T,skolemFOFtoCNF_T) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ dissimilar(X,T0,T)
| ~ is_aligned(X,T)
| ~ is_aligned(X,T0) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
( ~ dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T,skolemFOFtoCNF_T)
| ~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_4:[bind(T,$fot(skolemFOFtoCNF_T)),bind(T0,$fot(skolemFOFtoCNF_T)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
~ is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T),
inference(resolve,[$cnf( dissimilar(skolemFOFtoCNF_X,skolemFOFtoCNF_T,skolemFOFtoCNF_T) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( is_aligned(skolemFOFtoCNF_X,skolemFOFtoCNF_T) )],[refute_0_3,refute_0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT052+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 13:21:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.10/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37
% 0.10/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.10/0.38
%------------------------------------------------------------------------------