%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT008-1 : 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 : n017.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 08:02:05 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 29 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 231 ( 121 ~; 110 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 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 : 89 ( 0 sgn 19 !; 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(t1_FOL_3,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7] :
( greater(VAR_7,VAR_6)
| ~ greater(VAR_5,VAR_4)
| ~ survival_chance(VAR_2,VAR_7,VAR_3)
| ~ survival_chance(VAR_0,VAR_6,VAR_1)
| ~ inertia(VAR_2,VAR_5,VAR_3)
| ~ inertia(VAR_0,VAR_4,VAR_1)
| ~ reorganization_free(VAR_2,VAR_3,VAR_3)
| ~ reorganization_free(VAR_0,VAR_1,VAR_1)
| ~ organization(VAR_2,VAR_3)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',t1_FOL_3) ).
cnf(c_3,plain,
( greater(V7,V6)
| ~ greater(F,E)
| ~ survival_chance(C,V7,D)
| ~ survival_chance(A,V6,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[t1_FOL_3]) ).
fof(t8_FOL_4,axiom,
organization(sk2,sk9),
file('theBenchmark.p',t8_FOL_4) ).
cnf(c_4,plain,
organization(sk2,sk9),
inference(clausify,[status(thm)],[t8_FOL_4]) ).
fof(t8_FOL_5,axiom,
organization(sk3,sk10),
file('theBenchmark.p',t8_FOL_5) ).
cnf(c_5,plain,
organization(sk3,sk10),
inference(clausify,[status(thm)],[t8_FOL_5]) ).
fof(t8_FOL_6,axiom,
reorganization_free(sk2,sk9,sk9),
file('theBenchmark.p',t8_FOL_6) ).
cnf(c_6,plain,
reorganization_free(sk2,sk9,sk9),
inference(clausify,[status(thm)],[t8_FOL_6]) ).
fof(t8_FOL_7,axiom,
reorganization_free(sk3,sk10,sk10),
file('theBenchmark.p',t8_FOL_7) ).
cnf(c_7,plain,
reorganization_free(sk3,sk10,sk10),
inference(clausify,[status(thm)],[t8_FOL_7]) ).
fof(t8_FOL_8,axiom,
class(sk2,sk4,sk9),
file('theBenchmark.p',t8_FOL_8) ).
cnf(c_8,plain,
class(sk2,sk4,sk9),
inference(clausify,[status(thm)],[t8_FOL_8]) ).
fof(t8_FOL_9,axiom,
class(sk3,sk4,sk10),
file('theBenchmark.p',t8_FOL_9) ).
cnf(c_9,plain,
class(sk3,sk4,sk10),
inference(clausify,[status(thm)],[t8_FOL_9]) ).
fof(t8_FOL_10,axiom,
survival_chance(sk2,sk5,sk9),
file('theBenchmark.p',t8_FOL_10) ).
cnf(c_10,plain,
survival_chance(sk2,sk5,sk9),
inference(clausify,[status(thm)],[t8_FOL_10]) ).
fof(t8_FOL_11,axiom,
survival_chance(sk3,sk6,sk10),
file('theBenchmark.p',t8_FOL_11) ).
cnf(c_11,plain,
survival_chance(sk3,sk6,sk10),
inference(clausify,[status(thm)],[t8_FOL_11]) ).
fof(t8_FOL_12,axiom,
size(sk2,sk7,sk9),
file('theBenchmark.p',t8_FOL_12) ).
cnf(c_12,plain,
size(sk2,sk7,sk9),
inference(clausify,[status(thm)],[t8_FOL_12]) ).
fof(t8_FOL_13,axiom,
size(sk3,sk8,sk10),
file('theBenchmark.p',t8_FOL_13) ).
cnf(c_13,plain,
size(sk3,sk8,sk10),
inference(clausify,[status(thm)],[t8_FOL_13]) ).
fof(t8_FOL_14,axiom,
greater(sk8,sk7),
file('theBenchmark.p',t8_FOL_14) ).
cnf(c_14,plain,
greater(sk8,sk7),
inference(clausify,[status(thm)],[t8_FOL_14]) ).
fof(t8_FOL_15,axiom,
~ greater(sk6,sk5),
file('theBenchmark.p',t8_FOL_15) ).
cnf(c_15,plain,
~ greater(sk6,sk5),
inference(clausify,[status(thm)],[t8_FOL_15]) ).
cnf(c_16,plain,
inertia(sk2,sk1(sk9,sk2),sk9),
inference(resolve,[status(thm)],[c_1,c_4]) ).
cnf(c_17,plain,
inertia(sk3,sk1(sk10,sk3),sk10),
inference(resolve,[status(thm)],[c_1,c_5]) ).
cnf(c_18,plain,
( ~ greater(F,E)
| ~ survival_chance(C,sk6,D)
| ~ survival_chance(A,sk5,B)
| ~ inertia(C,F,D)
| ~ inertia(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_15,c_3]) ).
cnf(c_47,plain,
( ~ greater(D,C)
| ~ survival_chance(A,sk6,B)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(A,D,B)
| ~ inertia(sk2,C,sk9)
| ~ reorganization_free(A,B,B)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_18,c_4]) ).
cnf(c_48,plain,
( ~ greater(D,C)
| ~ survival_chance(A,sk6,B)
| ~ survival_chance(sk2,sk5,sk9)
| ~ inertia(A,D,B)
| ~ inertia(sk2,C,sk9)
| ~ reorganization_free(A,B,B)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_6,c_47]) ).
cnf(c_21,plain,
( ~ greater(D,C)
| ~ survival_chance(A,sk6,B)
| ~ inertia(A,D,B)
| ~ inertia(sk2,C,sk9)
| ~ reorganization_free(A,B,B)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_10,c_48]) ).
cnf(c_49,plain,
( ~ greater(B,A)
| ~ survival_chance(sk3,sk6,sk10)
| ~ inertia(sk3,B,sk10)
| ~ inertia(sk2,A,sk9)
| ~ reorganization_free(sk3,sk10,sk10) ),
inference(resolve,[status(thm)],[c_21,c_5]) ).
cnf(c_50,plain,
( ~ greater(B,A)
| ~ survival_chance(sk3,sk6,sk10)
| ~ inertia(sk3,B,sk10)
| ~ inertia(sk2,A,sk9) ),
inference(resolve,[status(thm)],[c_7,c_49]) ).
cnf(c_29,plain,
( ~ greater(B,A)
| ~ inertia(sk3,B,sk10)
| ~ inertia(sk2,A,sk9) ),
inference(resolve,[status(thm)],[c_11,c_50]) ).
cnf(c_51,plain,
( greater(V6,F)
| ~ greater(E,D)
| ~ inertia(A,V6,B)
| ~ inertia(sk2,F,sk9)
| ~ size(A,E,B)
| ~ size(sk2,D,sk9)
| ~ class(A,C,B)
| ~ class(sk2,C,sk9)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_2,c_4]) ).
cnf(c_52,plain,
( greater(E,D)
| ~ greater(C,B)
| ~ inertia(sk3,E,sk10)
| ~ inertia(sk2,D,sk9)
| ~ size(sk3,C,sk10)
| ~ size(sk2,B,sk9)
| ~ class(sk3,A,sk10)
| ~ class(sk2,A,sk9) ),
inference(resolve,[status(thm)],[c_51,c_5]) ).
cnf(c_53,plain,
( greater(D,C)
| ~ greater(B,A)
| ~ inertia(sk3,D,sk10)
| ~ inertia(sk2,C,sk9)
| ~ size(sk3,B,sk10)
| ~ size(sk2,A,sk9)
| ~ class(sk3,sk4,sk10) ),
inference(resolve,[status(thm)],[c_52,c_8]) ).
cnf(c_54,plain,
( greater(D,C)
| ~ greater(B,A)
| ~ inertia(sk3,D,sk10)
| ~ inertia(sk2,C,sk9)
| ~ size(sk3,B,sk10)
| ~ size(sk2,A,sk9) ),
inference(resolve,[status(thm)],[c_53,c_9]) ).
cnf(c_55,plain,
( greater(C,B)
| ~ greater(A,sk7)
| ~ inertia(sk3,C,sk10)
| ~ inertia(sk2,B,sk9)
| ~ size(sk3,A,sk10) ),
inference(resolve,[status(thm)],[c_54,c_12]) ).
cnf(c_56,plain,
( greater(B,A)
| ~ greater(sk8,sk7)
| ~ inertia(sk3,B,sk10)
| ~ inertia(sk2,A,sk9) ),
inference(resolve,[status(thm)],[c_55,c_13]) ).
cnf(c_57,plain,
( greater(A,sk1(sk9,sk2))
| ~ greater(sk8,sk7)
| ~ inertia(sk3,A,sk10) ),
inference(resolve,[status(thm)],[c_56,c_16]) ).
cnf(c_58,plain,
( greater(sk1(sk10,sk3),sk1(sk9,sk2))
| ~ greater(sk8,sk7) ),
inference(resolve,[status(thm)],[c_57,c_17]) ).
cnf(c_45,plain,
greater(sk1(sk10,sk3),sk1(sk9,sk2)),
inference(resolve,[status(thm)],[c_58,c_14]) ).
cnf(c_59,plain,
( ~ greater(A,sk1(sk9,sk2))
| ~ inertia(sk3,A,sk10) ),
inference(resolve,[status(thm)],[c_29,c_16]) ).
cnf(c_60,plain,
~ greater(sk1(sk10,sk3),sk1(sk9,sk2)),
inference(resolve,[status(thm)],[c_59,c_17]) ).
cnf(c_46,plain,
$false,
inference(resolve,[status(thm)],[c_45,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT008-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n017.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Fri Sep 25 23:58:18 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.35 % Process 3506490 was started by sandbox on n017,
% 0.08/0.35 % Fri Sep 25 23:58:18 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.35
% 0.08/0.35 % From the command line: assign(max_seconds, 300).
% 0.08/0.37
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.37
% 0.08/0.37 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.08/0.37 % Length of proof is 22.
% 0.08/0.37 % Level of proof is 4.
% 0.08/0.37 % Maximum clause weight is 41.000.
% 0.08/0.37 % Given clauses 21.
% 0.08/0.37
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------