%------------------------------------------------------------------------------
% 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 : n015.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 : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 4 unt; 1 nHn; 8 RR)
% Number of literals : 14 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_2_30,axiom,
( ~ dissimilar(A,B,C)
| is_aligned(A,B)
| is_aligned(A,C) ) ).
cnf(definition_2_31,axiom,
( ~ dissimilar(A,B,C)
| ~ is_aligned(A,B)
| ~ is_aligned(A,C) ) ).
cnf(background_assumption_1_36,negated_conjecture,
dissimilar(sk1,sk2,sk2) ).
cnf(refute_0_0,plain,
( ~ dissimilar(sk1,sk2,sk2)
| ~ is_aligned(sk1,sk2) ),
inference(subst,[],[definition_2_31:[bind(A,$fot(sk1)),bind(B,$fot(sk2)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
~ is_aligned(sk1,sk2),
inference(resolve,[$cnf( dissimilar(sk1,sk2,sk2) )],[background_assumption_1_36,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ dissimilar(sk1,sk2,sk2)
| is_aligned(sk1,sk2) ),
inference(subst,[],[definition_2_30:[bind(A,$fot(sk1)),bind(B,$fot(sk2)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_3,plain,
is_aligned(sk1,sk2),
inference(resolve,[$cnf( dissimilar(sk1,sk2,sk2) )],[background_assumption_1_36,refute_0_2]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( is_aligned(sk1,sk2) )],[refute_0_3,refute_0_1]) ).
%------------------------------------------------------------------------------
%----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 : n015.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 13:25:15 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.10/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38
% 0.10/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.10/0.38
%------------------------------------------------------------------------------