%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT012-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 06:15:18 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of clauses : 63 ( 19 unt; 0 nHn; 62 RR)
% Number of literals : 199 ( 19 equ; 144 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp5_20,axiom,
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ) ).
cnf(mp6_2_22,axiom,
( ~ greater(A,B)
| ~ greater(B,A) ) ).
cnf(mp9_23,axiom,
( ~ organization(A,B)
| class(A,sk2(B,A),B) ) ).
cnf(mp10_24,axiom,
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ class(A,D,B)
| ~ class(A,E,C)
| D = E ) ).
cnf(a12_FOL_25,hypothesis,
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ complexity(A,F,B)
| ~ complexity(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) ) ).
cnf(t2_FOL_26,hypothesis,
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ inertia(A,D,B)
| ~ inertia(A,E,C)
| ~ greater(C,B)
| greater(E,D) ) ).
cnf(t12_FOL_27,negated_conjecture,
organization(sk3,sk6) ).
cnf(t12_FOL_28,negated_conjecture,
organization(sk3,sk7) ).
cnf(t12_FOL_29,negated_conjecture,
reorganization_free(sk3,sk6,sk7) ).
cnf(t12_FOL_30,negated_conjecture,
complexity(sk3,sk4,sk6) ).
cnf(t12_FOL_31,negated_conjecture,
complexity(sk3,sk5,sk7) ).
cnf(t12_FOL_32,negated_conjecture,
greater(sk7,sk6) ).
cnf(t12_FOL_33,negated_conjecture,
greater(sk4,sk5) ).
cnf(refute_0_0,plain,
( ~ organization(sk3,sk6)
| inertia(sk3,sk1(sk6,sk3),sk6) ),
inference(subst,[],[mp5_20:[bind(A,$fot(sk3)),bind(B,$fot(sk6))]]) ).
cnf(refute_0_1,plain,
inertia(sk3,sk1(sk6,sk3),sk6),
inference(resolve,[$cnf( organization(sk3,sk6) )],[t12_FOL_27,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ organization(sk3,sk7)
| inertia(sk3,sk1(sk7,sk3),sk7) ),
inference(subst,[],[mp5_20:[bind(A,$fot(sk3)),bind(B,$fot(sk7))]]) ).
cnf(refute_0_3,plain,
inertia(sk3,sk1(sk7,sk3),sk7),
inference(resolve,[$cnf( organization(sk3,sk7) )],[t12_FOL_28,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ organization(sk3,sk6)
| class(sk3,sk2(sk6,sk3),sk6) ),
inference(subst,[],[mp9_23:[bind(A,$fot(sk3)),bind(B,$fot(sk6))]]) ).
cnf(refute_0_5,plain,
class(sk3,sk2(sk6,sk3),sk6),
inference(resolve,[$cnf( organization(sk3,sk6) )],[t12_FOL_27,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ class(X_65,sk2(sk6,sk3),X_66)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| ~ complexity(X_65,X_70,X_66)
| ~ complexity(sk3,X_71,sk6)
| ~ greater(X_71,X_70)
| ~ inertia(X_65,X_72,X_66)
| ~ inertia(sk3,X_73,sk6)
| ~ organization(X_65,X_66)
| ~ organization(sk3,sk6)
| greater(X_73,X_72) ),
inference(subst,[],[a12_FOL_25:[bind(A,$fot(X_65)),bind(B,$fot(X_66)),bind(C,$fot(sk3)),bind(D,$fot(sk6)),bind(E,$fot(sk2(sk6,sk3))),bind(F,$fot(X_70)),bind(G,$fot(X_71)),bind(H,$fot(X_72)),bind(I,$fot(X_73))]]) ).
cnf(refute_0_7,plain,
( ~ class(X_65,sk2(sk6,sk3),X_66)
| ~ complexity(X_65,X_70,X_66)
| ~ complexity(sk3,X_71,sk6)
| ~ greater(X_71,X_70)
| ~ inertia(X_65,X_72,X_66)
| ~ inertia(sk3,X_73,sk6)
| ~ organization(X_65,X_66)
| ~ organization(sk3,sk6)
| greater(X_73,X_72) ),
inference(resolve,[$cnf( class(sk3,sk2(sk6,sk3),sk6) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ class(X_65,sk2(sk6,sk3),X_66)
| ~ complexity(X_65,X_70,X_66)
| ~ complexity(sk3,X_71,sk6)
| ~ greater(X_71,X_70)
| ~ inertia(X_65,X_72,X_66)
| ~ inertia(sk3,X_73,sk6)
| ~ organization(X_65,X_66)
| greater(X_73,X_72) ),
inference(resolve,[$cnf( organization(sk3,sk6) )],[t12_FOL_27,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ class(sk3,sk2(sk6,sk3),sk7)
| ~ complexity(sk3,X_76,sk7)
| ~ complexity(sk3,X_77,sk6)
| ~ greater(X_77,X_76)
| ~ inertia(sk3,X_79,sk6)
| ~ inertia(sk3,sk1(sk7,sk3),sk7)
| ~ organization(sk3,sk7)
| greater(X_79,sk1(sk7,sk3)) ),
inference(subst,[],[refute_0_8:[bind(X_65,$fot(sk3)),bind(X_66,$fot(sk7)),bind(X_70,$fot(X_76)),bind(X_71,$fot(X_77)),bind(X_72,$fot(sk1(sk7,sk3))),bind(X_73,$fot(X_79))]]) ).
cnf(refute_0_10,plain,
( ~ class(sk3,sk2(sk6,sk3),sk7)
| ~ complexity(sk3,X_76,sk7)
| ~ complexity(sk3,X_77,sk6)
| ~ greater(X_77,X_76)
| ~ inertia(sk3,X_79,sk6)
| ~ organization(sk3,sk7)
| greater(X_79,sk1(sk7,sk3)) ),
inference(resolve,[$cnf( inertia(sk3,sk1(sk7,sk3),sk7) )],[refute_0_3,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ organization(sk3,sk7)
| class(sk3,sk2(sk7,sk3),sk7) ),
inference(subst,[],[mp9_23:[bind(A,$fot(sk3)),bind(B,$fot(sk7))]]) ).
cnf(refute_0_12,plain,
class(sk3,sk2(sk7,sk3),sk7),
inference(resolve,[$cnf( organization(sk3,sk7) )],[t12_FOL_28,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ class(sk3,X_10,sk6)
| ~ class(sk3,X_11,sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ reorganization_free(sk3,sk6,sk7)
| X_10 = X_11 ),
inference(subst,[],[mp10_24:[bind(A,$fot(sk3)),bind(B,$fot(sk6)),bind(C,$fot(sk7)),bind(D,$fot(X_10)),bind(E,$fot(X_11))]]) ).
cnf(refute_0_14,plain,
( ~ class(sk3,X_10,sk6)
| ~ class(sk3,X_11,sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| X_10 = X_11 ),
inference(resolve,[$cnf( reorganization_free(sk3,sk6,sk7) )],[t12_FOL_29,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ class(sk3,X_10,sk6)
| ~ class(sk3,X_11,sk7)
| ~ organization(sk3,sk7)
| X_10 = X_11 ),
inference(resolve,[$cnf( organization(sk3,sk6) )],[t12_FOL_27,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ class(sk3,X_10,sk6)
| ~ class(sk3,X_11,sk7)
| X_10 = X_11 ),
inference(resolve,[$cnf( organization(sk3,sk7) )],[t12_FOL_28,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ class(sk3,X_13,sk7)
| ~ class(sk3,sk2(sk6,sk3),sk6)
| sk2(sk6,sk3) = X_13 ),
inference(subst,[],[refute_0_16:[bind(X_10,$fot(sk2(sk6,sk3))),bind(X_11,$fot(X_13))]]) ).
cnf(refute_0_18,plain,
( ~ class(sk3,X_13,sk7)
| sk2(sk6,sk3) = X_13 ),
inference(resolve,[$cnf( class(sk3,sk2(sk6,sk3),sk6) )],[refute_0_5,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ class(sk3,sk2(sk7,sk3),sk7)
| sk2(sk6,sk3) = sk2(sk7,sk3) ),
inference(subst,[],[refute_0_18:[bind(X_13,$fot(sk2(sk7,sk3)))]]) ).
cnf(refute_0_20,plain,
sk2(sk6,sk3) = sk2(sk7,sk3),
inference(resolve,[$cnf( class(sk3,sk2(sk7,sk3),sk7) )],[refute_0_12,refute_0_19]) ).
cnf(refute_0_21,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_22,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_23,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( sk2(sk6,sk3) != sk2(sk7,sk3)
| sk2(sk7,sk3) = sk2(sk6,sk3) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(sk2(sk6,sk3))),bind(Y,$fot(sk2(sk7,sk3)))]]) ).
cnf(refute_0_25,plain,
sk2(sk7,sk3) = sk2(sk6,sk3),
inference(resolve,[$cnf( $equal(sk2(sk6,sk3),sk2(sk7,sk3)) )],[refute_0_20,refute_0_24]) ).
cnf(refute_0_26,plain,
( sk2(sk7,sk3) != sk2(sk6,sk3)
| ~ class(sk3,sk2(sk7,sk3),sk7)
| class(sk3,sk2(sk6,sk3),sk7) ),
introduced(tautology,[equality,[$cnf( class(sk3,sk2(sk7,sk3),sk7) ),[1],$fot(sk2(sk6,sk3))]]) ).
cnf(refute_0_27,plain,
( ~ class(sk3,sk2(sk7,sk3),sk7)
| class(sk3,sk2(sk6,sk3),sk7) ),
inference(resolve,[$cnf( $equal(sk2(sk7,sk3),sk2(sk6,sk3)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
class(sk3,sk2(sk6,sk3),sk7),
inference(resolve,[$cnf( class(sk3,sk2(sk7,sk3),sk7) )],[refute_0_12,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ complexity(sk3,X_76,sk7)
| ~ complexity(sk3,X_77,sk6)
| ~ greater(X_77,X_76)
| ~ inertia(sk3,X_79,sk6)
| ~ organization(sk3,sk7)
| greater(X_79,sk1(sk7,sk3)) ),
inference(resolve,[$cnf( class(sk3,sk2(sk6,sk3),sk7) )],[refute_0_28,refute_0_10]) ).
cnf(refute_0_30,plain,
( ~ complexity(sk3,X_76,sk7)
| ~ complexity(sk3,X_77,sk6)
| ~ greater(X_77,X_76)
| ~ inertia(sk3,X_79,sk6)
| greater(X_79,sk1(sk7,sk3)) ),
inference(resolve,[$cnf( organization(sk3,sk7) )],[t12_FOL_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ complexity(sk3,X_80,sk7)
| ~ complexity(sk3,X_81,sk6)
| ~ greater(X_81,X_80)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| greater(sk1(sk6,sk3),sk1(sk7,sk3)) ),
inference(subst,[],[refute_0_30:[bind(X_76,$fot(X_80)),bind(X_77,$fot(X_81)),bind(X_79,$fot(sk1(sk6,sk3)))]]) ).
cnf(refute_0_32,plain,
( ~ complexity(sk3,X_80,sk7)
| ~ complexity(sk3,X_81,sk6)
| ~ greater(X_81,X_80)
| greater(sk1(sk6,sk3),sk1(sk7,sk3)) ),
inference(resolve,[$cnf( inertia(sk3,sk1(sk6,sk3),sk6) )],[refute_0_1,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ greater(sk1(sk7,sk3),sk1(sk6,sk3)) ),
inference(subst,[],[mp6_2_22:[bind(A,$fot(sk1(sk7,sk3))),bind(B,$fot(sk1(sk6,sk3)))]]) ).
cnf(refute_0_34,plain,
( ~ greater(sk7,sk6)
| ~ inertia(sk3,X_47,sk6)
| ~ inertia(sk3,X_48,sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| ~ reorganization_free(sk3,sk6,sk7)
| greater(X_48,X_47) ),
inference(subst,[],[t2_FOL_26:[bind(A,$fot(sk3)),bind(B,$fot(sk6)),bind(C,$fot(sk7)),bind(D,$fot(X_47)),bind(E,$fot(X_48))]]) ).
cnf(refute_0_35,plain,
( ~ greater(sk7,sk6)
| ~ inertia(sk3,X_47,sk6)
| ~ inertia(sk3,X_48,sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| greater(X_48,X_47) ),
inference(resolve,[$cnf( reorganization_free(sk3,sk6,sk7) )],[t12_FOL_29,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ inertia(sk3,X_47,sk6)
| ~ inertia(sk3,X_48,sk7)
| ~ organization(sk3,sk6)
| ~ organization(sk3,sk7)
| greater(X_48,X_47) ),
inference(resolve,[$cnf( greater(sk7,sk6) )],[t12_FOL_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ inertia(sk3,X_47,sk6)
| ~ inertia(sk3,X_48,sk7)
| ~ organization(sk3,sk7)
| greater(X_48,X_47) ),
inference(resolve,[$cnf( organization(sk3,sk6) )],[t12_FOL_27,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ inertia(sk3,X_47,sk6)
| ~ inertia(sk3,X_48,sk7)
| greater(X_48,X_47) ),
inference(resolve,[$cnf( organization(sk3,sk7) )],[t12_FOL_28,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ inertia(sk3,X_50,sk7)
| ~ inertia(sk3,sk1(sk6,sk3),sk6)
| greater(X_50,sk1(sk6,sk3)) ),
inference(subst,[],[refute_0_38:[bind(X_47,$fot(sk1(sk6,sk3))),bind(X_48,$fot(X_50))]]) ).
cnf(refute_0_40,plain,
( ~ inertia(sk3,X_50,sk7)
| greater(X_50,sk1(sk6,sk3)) ),
inference(resolve,[$cnf( inertia(sk3,sk1(sk6,sk3),sk6) )],[refute_0_1,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ inertia(sk3,sk1(sk7,sk3),sk7)
| greater(sk1(sk7,sk3),sk1(sk6,sk3)) ),
inference(subst,[],[refute_0_40:[bind(X_50,$fot(sk1(sk7,sk3)))]]) ).
cnf(refute_0_42,plain,
greater(sk1(sk7,sk3),sk1(sk6,sk3)),
inference(resolve,[$cnf( inertia(sk3,sk1(sk7,sk3),sk7) )],[refute_0_3,refute_0_41]) ).
cnf(refute_0_43,plain,
~ greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(resolve,[$cnf( greater(sk1(sk7,sk3),sk1(sk6,sk3)) )],[refute_0_42,refute_0_33]) ).
cnf(refute_0_44,plain,
( ~ complexity(sk3,X_80,sk7)
| ~ complexity(sk3,X_81,sk6)
| ~ greater(X_81,X_80) ),
inference(resolve,[$cnf( greater(sk1(sk6,sk3),sk1(sk7,sk3)) )],[refute_0_32,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ complexity(sk3,X_84,sk6)
| ~ complexity(sk3,sk5,sk7)
| ~ greater(X_84,sk5) ),
inference(subst,[],[refute_0_44:[bind(X_80,$fot(sk5)),bind(X_81,$fot(X_84))]]) ).
cnf(refute_0_46,plain,
( ~ complexity(sk3,X_84,sk6)
| ~ greater(X_84,sk5) ),
inference(resolve,[$cnf( complexity(sk3,sk5,sk7) )],[t12_FOL_31,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ complexity(sk3,sk4,sk6)
| ~ greater(sk4,sk5) ),
inference(subst,[],[refute_0_46:[bind(X_84,$fot(sk4))]]) ).
cnf(refute_0_48,plain,
~ greater(sk4,sk5),
inference(resolve,[$cnf( complexity(sk3,sk4,sk6) )],[t12_FOL_30,refute_0_47]) ).
cnf(refute_0_49,plain,
$false,
inference(resolve,[$cnf( greater(sk4,sk5) )],[t12_FOL_33,refute_0_48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT012-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 11:48:26 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39
% 0.14/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.40
%------------------------------------------------------------------------------