%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT008-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% 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 06:15:17 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of clauses : 47 ( 17 unt; 0 nHn; 47 RR)
% Number of literals : 183 ( 0 equ; 142 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp5_1,axiom,
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ) ).
cnf(a5_FOL_2,hypothesis,
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ size(A,F,B)
| ~ size(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) ) ).
cnf(t1_FOL_3,hypothesis,
( ~ organization(A,B)
| ~ organization(C,D)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(C,D,D)
| ~ inertia(A,E,B)
| ~ inertia(C,F,D)
| ~ survival_chance(A,G,B)
| ~ survival_chance(C,H,D)
| ~ greater(F,E)
| greater(H,G) ) ).
cnf(t8_FOL_4,negated_conjecture,
organization(sk2,sk9) ).
cnf(t8_FOL_5,negated_conjecture,
organization(sk3,sk10) ).
cnf(t8_FOL_6,negated_conjecture,
reorganization_free(sk2,sk9,sk9) ).
cnf(t8_FOL_7,negated_conjecture,
reorganization_free(sk3,sk10,sk10) ).
cnf(t8_FOL_8,negated_conjecture,
class(sk2,sk4,sk9) ).
cnf(t8_FOL_9,negated_conjecture,
class(sk3,sk4,sk10) ).
cnf(t8_FOL_10,negated_conjecture,
survival_chance(sk2,sk5,sk9) ).
cnf(t8_FOL_11,negated_conjecture,
survival_chance(sk3,sk6,sk10) ).
cnf(t8_FOL_12,negated_conjecture,
size(sk2,sk7,sk9) ).
cnf(t8_FOL_13,negated_conjecture,
size(sk3,sk8,sk10) ).
cnf(t8_FOL_14,negated_conjecture,
greater(sk8,sk7) ).
cnf(t8_FOL_15,negated_conjecture,
~ greater(sk6,sk5) ).
cnf(refute_0_0,plain,
( ~ organization(sk2,sk9)
| inertia(sk2,sk1(sk9,sk2),sk9) ),
inference(subst,[],[mp5_1:[bind(A,$fot(sk2)),bind(B,$fot(sk9))]]) ).
cnf(refute_0_1,plain,
inertia(sk2,sk1(sk9,sk2),sk9),
inference(resolve,[$cnf( organization(sk2,sk9) )],[t8_FOL_4,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ greater(X_226,X_225)
| ~ inertia(X_223,X_226,X_224)
| ~ inertia(sk2,X_225,sk9)
| ~ organization(X_223,X_224)
| ~ organization(sk2,sk9)
| ~ reorganization_free(X_223,X_224,X_224)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ survival_chance(X_223,X_228,X_224)
| ~ survival_chance(sk2,sk5,sk9)
| greater(X_228,sk5) ),
inference(subst,[],[t1_FOL_3:[bind(A,$fot(sk2)),bind(B,$fot(sk9)),bind(C,$fot(X_223)),bind(D,$fot(X_224)),bind(E,$fot(X_225)),bind(F,$fot(X_226)),bind(G,$fot(sk5)),bind(H,$fot(X_228))]]) ).
cnf(refute_0_3,plain,
( ~ greater(X_226,X_225)
| ~ inertia(X_223,X_226,X_224)
| ~ inertia(sk2,X_225,sk9)
| ~ organization(X_223,X_224)
| ~ organization(sk2,sk9)
| ~ reorganization_free(X_223,X_224,X_224)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ survival_chance(X_223,X_228,X_224)
| greater(X_228,sk5) ),
inference(resolve,[$cnf( survival_chance(sk2,sk5,sk9) )],[t8_FOL_10,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ greater(X_226,X_225)
| ~ inertia(X_223,X_226,X_224)
| ~ inertia(sk2,X_225,sk9)
| ~ organization(X_223,X_224)
| ~ reorganization_free(X_223,X_224,X_224)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ survival_chance(X_223,X_228,X_224)
| greater(X_228,sk5) ),
inference(resolve,[$cnf( organization(sk2,sk9) )],[t8_FOL_4,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ greater(X_226,X_225)
| ~ inertia(X_223,X_226,X_224)
| ~ inertia(sk2,X_225,sk9)
| ~ organization(X_223,X_224)
| ~ reorganization_free(X_223,X_224,X_224)
| ~ survival_chance(X_223,X_228,X_224)
| greater(X_228,sk5) ),
inference(resolve,[$cnf( reorganization_free(sk2,sk9,sk9) )],[t8_FOL_6,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ greater(X_247,X_246)
| ~ inertia(sk2,X_246,sk9)
| ~ inertia(sk3,X_247,sk10)
| ~ organization(sk3,sk10)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ survival_chance(sk3,sk6,sk10)
| greater(sk6,sk5) ),
inference(subst,[],[refute_0_5:[bind(X_223,$fot(sk3)),bind(X_224,$fot(sk10)),bind(X_225,$fot(X_246)),bind(X_226,$fot(X_247)),bind(X_228,$fot(sk6))]]) ).
cnf(refute_0_7,plain,
( ~ greater(X_247,X_246)
| ~ inertia(sk2,X_246,sk9)
| ~ inertia(sk3,X_247,sk10)
| ~ organization(sk3,sk10)
| ~ reorganization_free(sk3,sk10,sk10)
| greater(sk6,sk5) ),
inference(resolve,[$cnf( survival_chance(sk3,sk6,sk10) )],[t8_FOL_11,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ greater(X_247,X_246)
| ~ inertia(sk2,X_246,sk9)
| ~ inertia(sk3,X_247,sk10)
| ~ reorganization_free(sk3,sk10,sk10)
| greater(sk6,sk5) ),
inference(resolve,[$cnf( organization(sk3,sk10) )],[t8_FOL_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ greater(X_247,X_246)
| ~ inertia(sk2,X_246,sk9)
| ~ inertia(sk3,X_247,sk10)
| greater(sk6,sk5) ),
inference(resolve,[$cnf( reorganization_free(sk3,sk10,sk10) )],[t8_FOL_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ greater(X_247,X_246)
| ~ inertia(sk2,X_246,sk9)
| ~ inertia(sk3,X_247,sk10) ),
inference(resolve,[$cnf( greater(sk6,sk5) )],[refute_0_9,t8_FOL_15]) ).
cnf(refute_0_11,plain,
( ~ greater(X_250,sk1(sk9,sk2))
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ inertia(sk3,X_250,sk10) ),
inference(subst,[],[refute_0_10:[bind(X_246,$fot(sk1(sk9,sk2))),bind(X_247,$fot(X_250))]]) ).
cnf(refute_0_12,plain,
( ~ greater(X_250,sk1(sk9,sk2))
| ~ inertia(sk3,X_250,sk10) ),
inference(resolve,[$cnf( inertia(sk2,sk1(sk9,sk2),sk9) )],[refute_0_1,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ inertia(sk3,sk1(sk10,sk3),sk10) ),
inference(subst,[],[refute_0_12:[bind(X_250,$fot(sk1(sk10,sk3)))]]) ).
cnf(refute_0_14,plain,
( ~ organization(sk3,sk10)
| inertia(sk3,sk1(sk10,sk3),sk10) ),
inference(subst,[],[mp5_1:[bind(A,$fot(sk3)),bind(B,$fot(sk10))]]) ).
cnf(refute_0_15,plain,
inertia(sk3,sk1(sk10,sk3),sk10),
inference(resolve,[$cnf( organization(sk3,sk10) )],[t8_FOL_5,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ class(X_299,X_301,X_300)
| ~ class(sk2,X_301,sk9)
| ~ greater(X_303,sk7)
| ~ inertia(X_299,X_305,X_300)
| ~ inertia(sk2,X_304,sk9)
| ~ organization(X_299,X_300)
| ~ organization(sk2,sk9)
| ~ size(X_299,X_303,X_300)
| ~ size(sk2,sk7,sk9)
| greater(X_305,X_304) ),
inference(subst,[],[a5_FOL_2:[bind(A,$fot(sk2)),bind(B,$fot(sk9)),bind(C,$fot(X_299)),bind(D,$fot(X_300)),bind(E,$fot(X_301)),bind(F,$fot(sk7)),bind(G,$fot(X_303)),bind(H,$fot(X_304)),bind(I,$fot(X_305))]]) ).
cnf(refute_0_17,plain,
( ~ class(X_299,X_301,X_300)
| ~ class(sk2,X_301,sk9)
| ~ greater(X_303,sk7)
| ~ inertia(X_299,X_305,X_300)
| ~ inertia(sk2,X_304,sk9)
| ~ organization(X_299,X_300)
| ~ organization(sk2,sk9)
| ~ size(X_299,X_303,X_300)
| greater(X_305,X_304) ),
inference(resolve,[$cnf( size(sk2,sk7,sk9) )],[t8_FOL_12,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ class(X_299,X_301,X_300)
| ~ class(sk2,X_301,sk9)
| ~ greater(X_303,sk7)
| ~ inertia(X_299,X_305,X_300)
| ~ inertia(sk2,X_304,sk9)
| ~ organization(X_299,X_300)
| ~ size(X_299,X_303,X_300)
| greater(X_305,X_304) ),
inference(resolve,[$cnf( organization(sk2,sk9) )],[t8_FOL_4,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ class(sk2,X_348,sk9)
| ~ class(sk3,X_348,sk10)
| ~ greater(sk8,sk7)
| ~ inertia(sk2,X_350,sk9)
| ~ inertia(sk3,X_351,sk10)
| ~ organization(sk3,sk10)
| ~ size(sk3,sk8,sk10)
| greater(X_351,X_350) ),
inference(subst,[],[refute_0_18:[bind(X_299,$fot(sk3)),bind(X_300,$fot(sk10)),bind(X_301,$fot(X_348)),bind(X_303,$fot(sk8)),bind(X_304,$fot(X_350)),bind(X_305,$fot(X_351))]]) ).
cnf(refute_0_20,plain,
( ~ class(sk2,X_348,sk9)
| ~ class(sk3,X_348,sk10)
| ~ greater(sk8,sk7)
| ~ inertia(sk2,X_350,sk9)
| ~ inertia(sk3,X_351,sk10)
| ~ organization(sk3,sk10)
| greater(X_351,X_350) ),
inference(resolve,[$cnf( size(sk3,sk8,sk10) )],[t8_FOL_13,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ class(sk2,X_348,sk9)
| ~ class(sk3,X_348,sk10)
| ~ inertia(sk2,X_350,sk9)
| ~ inertia(sk3,X_351,sk10)
| ~ organization(sk3,sk10)
| greater(X_351,X_350) ),
inference(resolve,[$cnf( greater(sk8,sk7) )],[t8_FOL_14,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ class(sk2,X_348,sk9)
| ~ class(sk3,X_348,sk10)
| ~ inertia(sk2,X_350,sk9)
| ~ inertia(sk3,X_351,sk10)
| greater(X_351,X_350) ),
inference(resolve,[$cnf( organization(sk3,sk10) )],[t8_FOL_5,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ class(sk2,X_352,sk9)
| ~ class(sk3,X_352,sk10)
| ~ inertia(sk2,sk1(sk9,sk2),sk9)
| ~ inertia(sk3,X_354,sk10)
| greater(X_354,sk1(sk9,sk2)) ),
inference(subst,[],[refute_0_22:[bind(X_348,$fot(X_352)),bind(X_350,$fot(sk1(sk9,sk2))),bind(X_351,$fot(X_354))]]) ).
cnf(refute_0_24,plain,
( ~ class(sk2,X_352,sk9)
| ~ class(sk3,X_352,sk10)
| ~ inertia(sk3,X_354,sk10)
| greater(X_354,sk1(sk9,sk2)) ),
inference(resolve,[$cnf( inertia(sk2,sk1(sk9,sk2),sk9) )],[refute_0_1,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ class(sk2,X_355,sk9)
| ~ class(sk3,X_355,sk10)
| ~ inertia(sk3,sk1(sk10,sk3),sk10)
| greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(subst,[],[refute_0_24:[bind(X_352,$fot(X_355)),bind(X_354,$fot(sk1(sk10,sk3)))]]) ).
cnf(refute_0_26,plain,
( ~ class(sk2,X_355,sk9)
| ~ class(sk3,X_355,sk10)
| greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(resolve,[$cnf( inertia(sk3,sk1(sk10,sk3),sk10) )],[refute_0_15,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ class(sk2,sk4,sk9)
| ~ class(sk3,sk4,sk10)
| greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(subst,[],[refute_0_26:[bind(X_355,$fot(sk4))]]) ).
cnf(refute_0_28,plain,
( ~ class(sk2,sk4,sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(resolve,[$cnf( class(sk3,sk4,sk10) )],[t8_FOL_9,refute_0_27]) ).
cnf(refute_0_29,plain,
greater(sk1(sk10,sk3),sk1(sk9,sk2)),
inference(resolve,[$cnf( class(sk2,sk4,sk9) )],[t8_FOL_8,refute_0_28]) ).
cnf(refute_0_30,plain,
~ inertia(sk3,sk1(sk10,sk3),sk10),
inference(resolve,[$cnf( greater(sk1(sk10,sk3),sk1(sk9,sk2)) )],[refute_0_29,refute_0_13]) ).
cnf(refute_0_31,plain,
$false,
inference(resolve,[$cnf( inertia(sk3,sk1(sk10,sk3),sk10) )],[refute_0_15,refute_0_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT008-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 11:49:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.46
% 0.13/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.47
%------------------------------------------------------------------------------