TSTP Solution File: MGT013-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT013-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:18:50 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of clauses : 71 ( 26 unt; 6 nHn; 68 RR)
% Number of literals : 188 ( 35 equ; 129 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 62 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp6_1_18,axiom,
( ~ greater(A,B)
| A != B ) ).
cnf(mp15_20,axiom,
( ~ organization(A,B)
| time(B) ) ).
cnf(mp16_21,axiom,
( ~ time(A)
| ~ time(B)
| greater(A,B)
| A = B
| greater(B,A) ) ).
cnf(mp17_22,axiom,
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,B) ) ).
cnf(mp18_23,axiom,
( ~ organization(A,B)
| ~ organization(A,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| B != C
| D = E ) ).
cnf(t11_FOL_24,hypothesis,
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ size(A,D,B)
| ~ size(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) ) ).
cnf(t12_FOL_25,hypothesis,
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ complexity(A,D,B)
| ~ complexity(A,E,C)
| ~ greater(C,B)
| ~ greater(D,E) ) ).
cnf(t13_FOL_26,negated_conjecture,
organization(sk1,sk6) ).
cnf(t13_FOL_27,negated_conjecture,
organization(sk1,sk7) ).
cnf(t13_FOL_28,negated_conjecture,
reorganization_free(sk1,sk6,sk7) ).
cnf(t13_FOL_29,negated_conjecture,
complexity(sk1,sk2,sk6) ).
cnf(t13_FOL_30,negated_conjecture,
complexity(sk1,sk3,sk7) ).
cnf(t13_FOL_31,negated_conjecture,
size(sk1,sk4,sk6) ).
cnf(t13_FOL_32,negated_conjecture,
size(sk1,sk5,sk7) ).
cnf(t13_FOL_33,negated_conjecture,
greater(sk3,sk2) ).
cnf(t13_FOL_34,negated_conjecture,
greater(sk4,sk5) ).
cnf(refute_0_0,plain,
( C != C
| ~ complexity(A,D,C)
| ~ complexity(A,E,C)
| ~ organization(A,C)
| D = E ),
inference(subst,[],[mp18_23:[bind(B,$fot(C))]]) ).
cnf(refute_0_1,plain,
C = C,
introduced(tautology,[refl,[$fot(C)]]) ).
cnf(refute_0_2,plain,
( ~ complexity(A,D,C)
| ~ complexity(A,E,C)
| ~ organization(A,C)
| D = E ),
inference(resolve,[$cnf( $equal(C,C) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
( ~ complexity(sk1,X_15,sk6)
| ~ complexity(sk1,sk2,sk6)
| ~ organization(sk1,sk6)
| sk2 = X_15 ),
inference(subst,[],[refute_0_2:[bind(A,$fot(sk1)),bind(C,$fot(sk6)),bind(D,$fot(sk2)),bind(E,$fot(X_15))]]) ).
cnf(refute_0_4,plain,
( ~ complexity(sk1,X_15,sk6)
| ~ organization(sk1,sk6)
| sk2 = X_15 ),
inference(resolve,[$cnf( complexity(sk1,sk2,sk6) )],[t13_FOL_29,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ complexity(sk1,X_15,sk6)
| sk2 = X_15 ),
inference(resolve,[$cnf( organization(sk1,sk6) )],[t13_FOL_26,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ complexity(sk1,sk3,sk6)
| sk2 = sk3 ),
inference(subst,[],[refute_0_5:[bind(X_15,$fot(sk3))]]) ).
cnf(refute_0_7,plain,
( ~ organization(sk1,sk7)
| time(sk7) ),
inference(subst,[],[mp15_20:[bind(A,$fot(sk1)),bind(B,$fot(sk7))]]) ).
cnf(refute_0_8,plain,
time(sk7),
inference(resolve,[$cnf( organization(sk1,sk7) )],[t13_FOL_27,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ organization(sk1,sk6)
| time(sk6) ),
inference(subst,[],[mp15_20:[bind(A,$fot(sk1)),bind(B,$fot(sk6))]]) ).
cnf(refute_0_10,plain,
time(sk6),
inference(resolve,[$cnf( organization(sk1,sk6) )],[t13_FOL_26,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ time(X_9)
| ~ time(sk6)
| sk6 = X_9
| greater(X_9,sk6)
| greater(sk6,X_9) ),
inference(subst,[],[mp16_21:[bind(A,$fot(sk6)),bind(B,$fot(X_9))]]) ).
cnf(refute_0_12,plain,
( ~ time(X_9)
| sk6 = X_9
| greater(X_9,sk6)
| greater(sk6,X_9) ),
inference(resolve,[$cnf( time(sk6) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ time(sk7)
| sk6 = sk7
| greater(sk6,sk7)
| greater(sk7,sk6) ),
inference(subst,[],[refute_0_12:[bind(X_9,$fot(sk7))]]) ).
cnf(refute_0_14,plain,
( sk6 = sk7
| greater(sk6,sk7)
| greater(sk7,sk6) ),
inference(resolve,[$cnf( time(sk7) )],[refute_0_8,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ greater(X_20,sk6)
| ~ greater(sk4,X_22)
| ~ organization(sk1,X_20)
| ~ organization(sk1,sk6)
| ~ reorganization_free(sk1,sk6,X_20)
| ~ size(sk1,X_22,X_20)
| ~ size(sk1,sk4,sk6) ),
inference(subst,[],[t11_FOL_24:[bind(A,$fot(sk1)),bind(B,$fot(sk6)),bind(C,$fot(X_20)),bind(D,$fot(sk4)),bind(E,$fot(X_22))]]) ).
cnf(refute_0_16,plain,
( ~ greater(X_20,sk6)
| ~ greater(sk4,X_22)
| ~ organization(sk1,X_20)
| ~ organization(sk1,sk6)
| ~ reorganization_free(sk1,sk6,X_20)
| ~ size(sk1,X_22,X_20) ),
inference(resolve,[$cnf( size(sk1,sk4,sk6) )],[t13_FOL_31,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ greater(X_20,sk6)
| ~ greater(sk4,X_22)
| ~ organization(sk1,X_20)
| ~ reorganization_free(sk1,sk6,X_20)
| ~ size(sk1,X_22,X_20) ),
inference(resolve,[$cnf( organization(sk1,sk6) )],[t13_FOL_26,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ greater(sk4,sk5)
| ~ greater(sk7,sk6)
| ~ organization(sk1,sk7)
| ~ reorganization_free(sk1,sk6,sk7)
| ~ size(sk1,sk5,sk7) ),
inference(subst,[],[refute_0_17:[bind(X_20,$fot(sk7)),bind(X_22,$fot(sk5))]]) ).
cnf(refute_0_19,plain,
( ~ greater(sk4,sk5)
| ~ greater(sk7,sk6)
| ~ organization(sk1,sk7)
| ~ reorganization_free(sk1,sk6,sk7) ),
inference(resolve,[$cnf( size(sk1,sk5,sk7) )],[t13_FOL_32,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ greater(sk7,sk6)
| ~ organization(sk1,sk7)
| ~ reorganization_free(sk1,sk6,sk7) ),
inference(resolve,[$cnf( greater(sk4,sk5) )],[t13_FOL_34,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ greater(sk7,sk6)
| ~ reorganization_free(sk1,sk6,sk7) ),
inference(resolve,[$cnf( organization(sk1,sk7) )],[t13_FOL_27,refute_0_20]) ).
cnf(refute_0_22,plain,
~ greater(sk7,sk6),
inference(resolve,[$cnf( reorganization_free(sk1,sk6,sk7) )],[t13_FOL_28,refute_0_21]) ).
cnf(refute_0_23,plain,
( sk6 = sk7
| greater(sk6,sk7) ),
inference(resolve,[$cnf( greater(sk7,sk6) )],[refute_0_14,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ reorganization_free(sk1,sk6,sk7)
| reorganization_free(sk1,sk7,sk6) ),
inference(subst,[],[mp17_22:[bind(A,$fot(sk1)),bind(B,$fot(sk6)),bind(C,$fot(sk7))]]) ).
cnf(refute_0_25,plain,
reorganization_free(sk1,sk7,sk6),
inference(resolve,[$cnf( reorganization_free(sk1,sk6,sk7) )],[t13_FOL_28,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ complexity(sk1,X_34,sk7)
| ~ complexity(sk1,X_35,sk6)
| ~ greater(X_34,X_35)
| ~ greater(sk6,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7)
| ~ reorganization_free(sk1,sk7,sk6) ),
inference(subst,[],[t12_FOL_25:[bind(A,$fot(sk1)),bind(B,$fot(sk7)),bind(C,$fot(sk6)),bind(D,$fot(X_34)),bind(E,$fot(X_35))]]) ).
cnf(refute_0_27,plain,
( ~ complexity(sk1,X_34,sk7)
| ~ complexity(sk1,X_35,sk6)
| ~ greater(X_34,X_35)
| ~ greater(sk6,sk7)
| ~ organization(sk1,sk6)
| ~ organization(sk1,sk7) ),
inference(resolve,[$cnf( reorganization_free(sk1,sk7,sk6) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ complexity(sk1,X_34,sk7)
| ~ complexity(sk1,X_35,sk6)
| ~ greater(X_34,X_35)
| ~ greater(sk6,sk7)
| ~ organization(sk1,sk7) ),
inference(resolve,[$cnf( organization(sk1,sk6) )],[t13_FOL_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ complexity(sk1,X_34,sk7)
| ~ complexity(sk1,X_35,sk6)
| ~ greater(X_34,X_35)
| ~ greater(sk6,sk7) ),
inference(resolve,[$cnf( organization(sk1,sk7) )],[t13_FOL_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ complexity(sk1,X_37,sk6)
| ~ complexity(sk1,sk3,sk7)
| ~ greater(sk3,X_37)
| ~ greater(sk6,sk7) ),
inference(subst,[],[refute_0_29:[bind(X_34,$fot(sk3)),bind(X_35,$fot(X_37))]]) ).
cnf(refute_0_31,plain,
( ~ complexity(sk1,X_37,sk6)
| ~ greater(sk3,X_37)
| ~ greater(sk6,sk7) ),
inference(resolve,[$cnf( complexity(sk1,sk3,sk7) )],[t13_FOL_30,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ complexity(sk1,sk2,sk6)
| ~ greater(sk3,sk2)
| ~ greater(sk6,sk7) ),
inference(subst,[],[refute_0_31:[bind(X_37,$fot(sk2))]]) ).
cnf(refute_0_33,plain,
( ~ greater(sk3,sk2)
| ~ greater(sk6,sk7) ),
inference(resolve,[$cnf( complexity(sk1,sk2,sk6) )],[t13_FOL_29,refute_0_32]) ).
cnf(refute_0_34,plain,
~ greater(sk6,sk7),
inference(resolve,[$cnf( greater(sk3,sk2) )],[t13_FOL_33,refute_0_33]) ).
cnf(refute_0_35,plain,
sk6 = sk7,
inference(resolve,[$cnf( greater(sk6,sk7) )],[refute_0_23,refute_0_34]) ).
cnf(refute_0_36,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_37,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_38,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( sk6 != sk7
| sk7 = sk6 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(sk6)),bind(Y,$fot(sk7))]]) ).
cnf(refute_0_40,plain,
sk7 = sk6,
inference(resolve,[$cnf( $equal(sk6,sk7) )],[refute_0_35,refute_0_39]) ).
cnf(refute_0_41,plain,
( sk7 != sk6
| ~ complexity(sk1,sk3,sk7)
| complexity(sk1,sk3,sk6) ),
introduced(tautology,[equality,[$cnf( complexity(sk1,sk3,sk7) ),[2],$fot(sk6)]]) ).
cnf(refute_0_42,plain,
( ~ complexity(sk1,sk3,sk7)
| complexity(sk1,sk3,sk6) ),
inference(resolve,[$cnf( $equal(sk7,sk6) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
complexity(sk1,sk3,sk6),
inference(resolve,[$cnf( complexity(sk1,sk3,sk7) )],[t13_FOL_30,refute_0_42]) ).
cnf(refute_0_44,plain,
sk2 = sk3,
inference(resolve,[$cnf( complexity(sk1,sk3,sk6) )],[refute_0_43,refute_0_6]) ).
cnf(refute_0_45,plain,
( sk2 != sk3
| sk3 = sk2 ),
inference(subst,[],[refute_0_38:[bind(X,$fot(sk2)),bind(Y,$fot(sk3))]]) ).
cnf(refute_0_46,plain,
sk3 = sk2,
inference(resolve,[$cnf( $equal(sk2,sk3) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( sk3 != sk2
| ~ greater(sk3,sk2)
| greater(sk2,sk2) ),
introduced(tautology,[equality,[$cnf( greater(sk3,sk2) ),[0],$fot(sk2)]]) ).
cnf(refute_0_48,plain,
( ~ greater(sk3,sk2)
| greater(sk2,sk2) ),
inference(resolve,[$cnf( $equal(sk3,sk2) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
greater(sk2,sk2),
inference(resolve,[$cnf( greater(sk3,sk2) )],[t13_FOL_33,refute_0_48]) ).
cnf(refute_0_50,plain,
( B != B
| ~ greater(B,B) ),
inference(subst,[],[mp6_1_18:[bind(A,$fot(B))]]) ).
cnf(refute_0_51,plain,
B = B,
introduced(tautology,[refl,[$fot(B)]]) ).
cnf(refute_0_52,plain,
~ greater(B,B),
inference(resolve,[$cnf( $equal(B,B) )],[refute_0_51,refute_0_50]) ).
cnf(refute_0_53,plain,
~ greater(sk2,sk2),
inference(subst,[],[refute_0_52:[bind(B,$fot(sk2))]]) ).
cnf(refute_0_54,plain,
$false,
inference(resolve,[$cnf( greater(sk2,sk2) )],[refute_0_49,refute_0_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT013-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 09:41:32 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------