%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT018-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 : Sun Sep 27 08:02:07 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 31 unt; 0 def)
% Number of atoms : 202 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 293 ( 147 ~; 146 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 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 : 103 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp5_1,axiom,
! [VAR_0,VAR_1] :
( inertia(VAR_0,sk1(VAR_1,VAR_0),VAR_1)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',mp5_1) ).
cnf(c_1,plain,
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[mp5_1]) ).
fof(a5_FOL_2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8] :
( greater(VAR_8,VAR_7)
| ~ greater(VAR_6,VAR_5)
| ~ inertia(VAR_2,VAR_8,VAR_3)
| ~ inertia(VAR_0,VAR_7,VAR_1)
| ~ size(VAR_2,VAR_6,VAR_3)
| ~ size(VAR_0,VAR_5,VAR_1)
| ~ class(VAR_2,VAR_4,VAR_3)
| ~ class(VAR_0,VAR_4,VAR_1)
| ~ organization(VAR_2,VAR_3)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',a5_FOL_2) ).
cnf(c_2,plain,
( greater(V8,V7)
| ~ greater(V6,F)
| ~ inertia(C,V8,D)
| ~ inertia(A,V7,B)
| ~ size(C,V6,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[a5_FOL_2]) ).
fof(a14_FOL_3,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8] :
( greater(VAR_5,VAR_3)
| ~ greater(VAR_8,VAR_7)
| ~ inertia(VAR_2,VAR_8,VAR_1)
| ~ inertia(VAR_0,VAR_7,VAR_1)
| ~ reorganization_type(VAR_2,VAR_6,VAR_1)
| ~ reorganization_type(VAR_0,VAR_6,VAR_1)
| ~ reorganization(VAR_2,VAR_1,VAR_3)
| ~ reorganization(VAR_0,VAR_1,VAR_5)
| ~ class(VAR_2,VAR_4,VAR_1)
| ~ class(VAR_0,VAR_4,VAR_1)
| organization(VAR_2,VAR_3)
| ~ organization(VAR_2,VAR_1)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',a14_FOL_3) ).
cnf(c_3,plain,
( greater(F,D)
| ~ greater(V8,V7)
| ~ inertia(C,V8,B)
| ~ inertia(A,V7,B)
| ~ reorganization_type(C,V6,B)
| ~ reorganization_type(A,V6,B)
| ~ reorganization(C,B,D)
| ~ reorganization(A,B,F)
| ~ class(C,E,B)
| ~ class(A,E,B)
| organization(C,D)
| ~ organization(C,B)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[a14_FOL_3]) ).
fof(t18_FOL_4,axiom,
organization(sk2,sk8),
file('theBenchmark.p',t18_FOL_4) ).
cnf(c_4,plain,
organization(sk2,sk8),
inference(clausify,[status(thm)],[t18_FOL_4]) ).
fof(t18_FOL_5,axiom,
organization(sk3,sk8),
file('theBenchmark.p',t18_FOL_5) ).
cnf(c_5,plain,
organization(sk3,sk8),
inference(clausify,[status(thm)],[t18_FOL_5]) ).
fof(t18_FOL_6,axiom,
~ organization(sk3,sk10),
file('theBenchmark.p',t18_FOL_6) ).
cnf(c_6,plain,
~ organization(sk3,sk10),
inference(clausify,[status(thm)],[t18_FOL_6]) ).
fof(t18_FOL_7,axiom,
class(sk2,sk5,sk8),
file('theBenchmark.p',t18_FOL_7) ).
cnf(c_7,plain,
class(sk2,sk5,sk8),
inference(clausify,[status(thm)],[t18_FOL_7]) ).
fof(t18_FOL_8,axiom,
class(sk3,sk5,sk8),
file('theBenchmark.p',t18_FOL_8) ).
cnf(c_8,plain,
class(sk3,sk5,sk8),
inference(clausify,[status(thm)],[t18_FOL_8]) ).
fof(t18_FOL_9,axiom,
reorganization(sk2,sk8,sk9),
file('theBenchmark.p',t18_FOL_9) ).
cnf(c_9,plain,
reorganization(sk2,sk8,sk9),
inference(clausify,[status(thm)],[t18_FOL_9]) ).
fof(t18_FOL_10,axiom,
reorganization(sk3,sk8,sk10),
file('theBenchmark.p',t18_FOL_10) ).
cnf(c_10,plain,
reorganization(sk3,sk8,sk10),
inference(clausify,[status(thm)],[t18_FOL_10]) ).
fof(t18_FOL_11,axiom,
reorganization_type(sk2,sk4,sk8),
file('theBenchmark.p',t18_FOL_11) ).
cnf(c_11,plain,
reorganization_type(sk2,sk4,sk8),
inference(clausify,[status(thm)],[t18_FOL_11]) ).
fof(t18_FOL_12,axiom,
reorganization_type(sk3,sk4,sk8),
file('theBenchmark.p',t18_FOL_12) ).
cnf(c_12,plain,
reorganization_type(sk3,sk4,sk8),
inference(clausify,[status(thm)],[t18_FOL_12]) ).
fof(t18_FOL_13,axiom,
size(sk2,sk6,sk8),
file('theBenchmark.p',t18_FOL_13) ).
cnf(c_13,plain,
size(sk2,sk6,sk8),
inference(clausify,[status(thm)],[t18_FOL_13]) ).
fof(t18_FOL_14,axiom,
size(sk3,sk7,sk8),
file('theBenchmark.p',t18_FOL_14) ).
cnf(c_14,plain,
size(sk3,sk7,sk8),
inference(clausify,[status(thm)],[t18_FOL_14]) ).
fof(t18_FOL_15,axiom,
greater(sk7,sk6),
file('theBenchmark.p',t18_FOL_15) ).
cnf(c_15,plain,
greater(sk7,sk6),
inference(clausify,[status(thm)],[t18_FOL_15]) ).
fof(t18_FOL_16,axiom,
~ greater(sk9,sk10),
file('theBenchmark.p',t18_FOL_16) ).
cnf(c_16,plain,
~ greater(sk9,sk10),
inference(clausify,[status(thm)],[t18_FOL_16]) ).
cnf(c_25,plain,
inertia(sk2,sk1(sk8,sk2),sk8),
inference(resolve,[status(thm)],[c_4,c_1]) ).
cnf(c_26,plain,
inertia(sk3,sk1(sk8,sk3),sk8),
inference(resolve,[status(thm)],[c_5,c_1]) ).
cnf(c_57,plain,
( greater(V6,F)
| ~ greater(E,D)
| ~ inertia(A,V6,B)
| ~ inertia(sk2,F,sk8)
| ~ size(A,E,B)
| ~ size(sk2,D,sk8)
| ~ class(A,C,B)
| ~ class(sk2,C,sk8)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_2,c_4]) ).
cnf(c_58,plain,
( greater(E,D)
| ~ greater(C,B)
| ~ inertia(sk3,E,sk8)
| ~ inertia(sk2,D,sk8)
| ~ size(sk3,C,sk8)
| ~ size(sk2,B,sk8)
| ~ class(sk3,A,sk8)
| ~ class(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_57,c_5]) ).
cnf(c_59,plain,
( greater(D,C)
| ~ greater(B,A)
| ~ inertia(sk3,D,sk8)
| ~ inertia(sk2,C,sk8)
| ~ size(sk3,B,sk8)
| ~ size(sk2,A,sk8)
| ~ class(sk3,sk5,sk8) ),
inference(resolve,[status(thm)],[c_58,c_7]) ).
cnf(c_60,plain,
( greater(D,C)
| ~ greater(B,A)
| ~ inertia(sk3,D,sk8)
| ~ inertia(sk2,C,sk8)
| ~ size(sk3,B,sk8)
| ~ size(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_59,c_8]) ).
cnf(c_61,plain,
( greater(C,B)
| ~ greater(A,sk6)
| ~ inertia(sk3,C,sk8)
| ~ inertia(sk2,B,sk8)
| ~ size(sk3,A,sk8) ),
inference(resolve,[status(thm)],[c_60,c_13]) ).
cnf(c_62,plain,
( greater(B,A)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,B,sk8)
| ~ inertia(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_61,c_14]) ).
cnf(c_63,plain,
( greater(A,sk1(sk8,sk2))
| ~ greater(sk7,sk6)
| ~ inertia(sk3,A,sk8) ),
inference(resolve,[status(thm)],[c_62,c_25]) ).
cnf(c_64,plain,
( greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ greater(sk7,sk6) ),
inference(resolve,[status(thm)],[c_63,c_26]) ).
cnf(c_55,plain,
greater(sk1(sk8,sk3),sk1(sk8,sk2)),
inference(resolve,[status(thm)],[c_64,c_15]) ).
cnf(c_65,plain,
( greater(D,B)
| ~ greater(V6,F)
| ~ inertia(A,V6,sk8)
| ~ inertia(sk2,F,sk8)
| ~ reorganization_type(A,E,sk8)
| ~ reorganization_type(sk2,E,sk8)
| ~ reorganization(A,sk8,B)
| ~ reorganization(sk2,sk8,D)
| ~ class(A,C,sk8)
| ~ class(sk2,C,sk8)
| organization(A,B)
| ~ organization(A,sk8) ),
inference(resolve,[status(thm)],[c_3,c_4]) ).
cnf(c_66,plain,
( greater(C,A)
| ~ greater(F,E)
| ~ inertia(sk3,F,sk8)
| ~ inertia(sk2,E,sk8)
| ~ reorganization_type(sk3,D,sk8)
| ~ reorganization_type(sk2,D,sk8)
| ~ reorganization(sk3,sk8,A)
| ~ reorganization(sk2,sk8,C)
| ~ class(sk3,B,sk8)
| ~ class(sk2,B,sk8)
| organization(sk3,A) ),
inference(resolve,[status(thm)],[c_65,c_5]) ).
cnf(c_67,plain,
( greater(B,sk10)
| ~ greater(E,D)
| ~ inertia(sk3,E,sk8)
| ~ inertia(sk2,D,sk8)
| ~ reorganization_type(sk3,C,sk8)
| ~ reorganization_type(sk2,C,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ reorganization(sk2,sk8,B)
| ~ class(sk3,A,sk8)
| ~ class(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_66,c_6]) ).
cnf(c_68,plain,
( greater(A,sk10)
| ~ greater(D,C)
| ~ inertia(sk3,D,sk8)
| ~ inertia(sk2,C,sk8)
| ~ reorganization_type(sk3,B,sk8)
| ~ reorganization_type(sk2,B,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ reorganization(sk2,sk8,A)
| ~ class(sk3,sk5,sk8) ),
inference(resolve,[status(thm)],[c_67,c_7]) ).
cnf(c_69,plain,
( greater(A,sk10)
| ~ greater(D,C)
| ~ inertia(sk3,D,sk8)
| ~ inertia(sk2,C,sk8)
| ~ reorganization_type(sk3,B,sk8)
| ~ reorganization_type(sk2,B,sk8)
| ~ reorganization(sk3,sk8,sk10)
| ~ reorganization(sk2,sk8,A) ),
inference(resolve,[status(thm)],[c_68,c_8]) ).
cnf(c_70,plain,
( greater(sk9,sk10)
| ~ greater(C,B)
| ~ inertia(sk3,C,sk8)
| ~ inertia(sk2,B,sk8)
| ~ reorganization_type(sk3,A,sk8)
| ~ reorganization_type(sk2,A,sk8)
| ~ reorganization(sk3,sk8,sk10) ),
inference(resolve,[status(thm)],[c_69,c_9]) ).
cnf(c_71,plain,
( greater(sk9,sk10)
| ~ greater(C,B)
| ~ inertia(sk3,C,sk8)
| ~ inertia(sk2,B,sk8)
| ~ reorganization_type(sk3,A,sk8)
| ~ reorganization_type(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_70,c_10]) ).
cnf(c_72,plain,
( greater(sk9,sk10)
| ~ greater(B,A)
| ~ inertia(sk3,B,sk8)
| ~ inertia(sk2,A,sk8)
| ~ reorganization_type(sk3,sk4,sk8) ),
inference(resolve,[status(thm)],[c_71,c_11]) ).
cnf(c_73,plain,
( greater(sk9,sk10)
| ~ greater(B,A)
| ~ inertia(sk3,B,sk8)
| ~ inertia(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_72,c_12]) ).
cnf(c_74,plain,
( greater(sk9,sk10)
| ~ greater(A,sk1(sk8,sk2))
| ~ inertia(sk3,A,sk8) ),
inference(resolve,[status(thm)],[c_73,c_25]) ).
cnf(c_75,plain,
( greater(sk9,sk10)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(resolve,[status(thm)],[c_74,c_26]) ).
cnf(c_76,plain,
~ greater(sk1(sk8,sk3),sk1(sk8,sk2)),
inference(resolve,[status(thm)],[c_75,c_16]) ).
cnf(c_56,plain,
$false,
inference(resolve,[status(thm)],[c_55,c_76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT018-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n018.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 00:05:51 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.42 % Process 3160182 was started by sandbox on n018,
% 0.16/0.42 % Sat Sep 26 00:05:51 2026
% 0.16/0.42 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.43
% 0.16/0.43 % From the command line: assign(max_seconds, 300).
% 0.16/0.46
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46
% 0.16/0.46 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.16/0.46 % Length of proof is 20.
% 0.16/0.46 % Level of proof is 3.
% 0.16/0.46 % Maximum clause weight is 52.000.
% 0.16/0.46 % Given clauses 26.
% 0.16/0.46
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------