%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT006-1 : 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 : n003.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 08:02:04 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 54 ( 23 unt; 0 def)
% Number of atoms : 193 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 281 ( 142 ~; 139 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 121 ( 18 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_FOL_8,axiom,
reorganization_free(sk2,sk7,sk8),
file('theBenchmark.p',t6_FOL_8) ).
cnf(c_1,plain,
reorganization_free(sk2,sk7,sk8),
inference(clausify,[status(thm)],[t6_FOL_8]) ).
fof(a4_FOL_5,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( greater(VAR_4,VAR_3)
| ~ greater(VAR_2,VAR_1)
| ~ reproducibility(VAR_0,VAR_4,VAR_2)
| ~ reproducibility(VAR_0,VAR_3,VAR_1)
| ~ reorganization_free(VAR_0,VAR_1,VAR_2)
| ~ organization(VAR_0,VAR_2)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',a4_FOL_5) ).
cnf(c_2,plain,
( greater(E,D)
| ~ greater(C,B)
| ~ reproducibility(A,E,C)
| ~ reproducibility(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[a4_FOL_5]) ).
cnf(c_3,plain,
( greater(B,A)
| ~ greater(sk8,sk7)
| ~ reproducibility(sk2,B,sk8)
| ~ reproducibility(sk2,A,sk7)
| ~ organization(sk2,sk8)
| ~ organization(sk2,sk7) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(t6_FOL_14,axiom,
( ~ greater(sk6,sk5)
| ~ greater(sk4,sk3) ),
file('theBenchmark.p',t6_FOL_14) ).
cnf(c_4,plain,
( ~ greater(sk6,sk5)
| ~ greater(sk4,sk3) ),
inference(clausify,[status(thm)],[t6_FOL_14]) ).
fof(t6_FOL_13,axiom,
greater(sk8,sk7),
file('theBenchmark.p',t6_FOL_13) ).
cnf(c_5,plain,
greater(sk8,sk7),
inference(clausify,[status(thm)],[t6_FOL_13]) ).
fof(t6_FOL_12,axiom,
accountability(sk2,sk6,sk8),
file('theBenchmark.p',t6_FOL_12) ).
cnf(c_6,plain,
accountability(sk2,sk6,sk8),
inference(clausify,[status(thm)],[t6_FOL_12]) ).
fof(t6_FOL_11,axiom,
accountability(sk2,sk5,sk7),
file('theBenchmark.p',t6_FOL_11) ).
cnf(c_7,plain,
accountability(sk2,sk5,sk7),
inference(clausify,[status(thm)],[t6_FOL_11]) ).
fof(t6_FOL_10,axiom,
reliability(sk2,sk4,sk8),
file('theBenchmark.p',t6_FOL_10) ).
cnf(c_8,plain,
reliability(sk2,sk4,sk8),
inference(clausify,[status(thm)],[t6_FOL_10]) ).
fof(t6_FOL_9,axiom,
reliability(sk2,sk3,sk7),
file('theBenchmark.p',t6_FOL_9) ).
cnf(c_9,plain,
reliability(sk2,sk3,sk7),
inference(clausify,[status(thm)],[t6_FOL_9]) ).
fof(t6_FOL_7,axiom,
organization(sk2,sk8),
file('theBenchmark.p',t6_FOL_7) ).
cnf(c_10,plain,
organization(sk2,sk8),
inference(clausify,[status(thm)],[t6_FOL_7]) ).
fof(t6_FOL_6,axiom,
organization(sk2,sk7),
file('theBenchmark.p',t6_FOL_6) ).
cnf(c_11,plain,
organization(sk2,sk7),
inference(clausify,[status(thm)],[t6_FOL_6]) ).
fof(a2_FOL_3,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( greater(VAR_7,VAR_6)
| ~ greater(VAR_9,VAR_8)
| ~ reproducibility(VAR_2,VAR_9,VAR_3)
| ~ reproducibility(VAR_0,VAR_8,VAR_1)
| ~ accountability(VAR_2,VAR_7,VAR_3)
| ~ accountability(VAR_0,VAR_6,VAR_1)
| ~ reliability(VAR_2,VAR_5,VAR_3)
| ~ reliability(VAR_0,VAR_4,VAR_1)
| ~ organization(VAR_2,VAR_3)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',a2_FOL_3) ).
cnf(c_13,plain,
( greater(V7,V6)
| ~ greater(V9,V8)
| ~ reproducibility(C,V9,D)
| ~ reproducibility(A,V8,B)
| ~ accountability(C,V7,D)
| ~ accountability(A,V6,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[a2_FOL_3]) ).
fof(a2_FOL_2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( greater(VAR_5,VAR_4)
| ~ greater(VAR_9,VAR_8)
| ~ reproducibility(VAR_2,VAR_9,VAR_3)
| ~ reproducibility(VAR_0,VAR_8,VAR_1)
| ~ accountability(VAR_2,VAR_7,VAR_3)
| ~ accountability(VAR_0,VAR_6,VAR_1)
| ~ reliability(VAR_2,VAR_5,VAR_3)
| ~ reliability(VAR_0,VAR_4,VAR_1)
| ~ organization(VAR_2,VAR_3)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',a2_FOL_2) ).
cnf(c_14,plain,
( greater(F,E)
| ~ greater(V9,V8)
| ~ reproducibility(C,V9,D)
| ~ reproducibility(A,V8,B)
| ~ accountability(C,V7,D)
| ~ accountability(A,V6,B)
| ~ reliability(C,F,D)
| ~ reliability(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[a2_FOL_2]) ).
fof(mp3_1,axiom,
! [VAR_0,VAR_1] :
( reproducibility(VAR_0,sk1(VAR_1,VAR_0),VAR_1)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',mp3_1) ).
cnf(c_15,plain,
( reproducibility(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[mp3_1]) ).
cnf(c_125,plain,
( greater(B,A)
| ~ greater(sk8,sk7)
| ~ reproducibility(sk2,B,sk8)
| ~ reproducibility(sk2,A,sk7)
| ~ organization(sk2,sk8) ),
inference(resolve,[status(thm)],[c_11,c_3]) ).
cnf(c_126,plain,
( greater(B,A)
| ~ greater(sk8,sk7)
| ~ reproducibility(sk2,B,sk8)
| ~ reproducibility(sk2,A,sk7) ),
inference(resolve,[status(thm)],[c_10,c_125]) ).
cnf(c_16,plain,
( greater(B,A)
| ~ reproducibility(sk2,B,sk8)
| ~ reproducibility(sk2,A,sk7) ),
inference(resolve,[status(thm)],[c_5,c_126]) ).
cnf(c_23,plain,
reproducibility(sk2,sk1(sk7,sk2),sk7),
inference(resolve,[status(thm)],[c_15,c_11]) ).
cnf(c_24,plain,
reproducibility(sk2,sk1(sk8,sk2),sk8),
inference(resolve,[status(thm)],[c_15,c_10]) ).
cnf(c_127,plain,
( greater(A,sk1(sk7,sk2))
| ~ reproducibility(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_16,c_23]) ).
cnf(c_76,plain,
greater(sk1(sk8,sk2),sk1(sk7,sk2)),
inference(resolve,[status(thm)],[c_127,c_24]) ).
cnf(c_128,plain,
( greater(D,C)
| ~ greater(V7,V6)
| ~ reproducibility(A,V7,B)
| ~ reproducibility(sk2,V6,sk7)
| ~ accountability(A,F,B)
| ~ accountability(sk2,E,sk7)
| ~ reliability(A,D,B)
| ~ reliability(sk2,C,sk7)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_14,c_11]) ).
cnf(c_129,plain,
( greater(B,A)
| ~ greater(F,E)
| ~ reproducibility(sk2,F,sk8)
| ~ reproducibility(sk2,E,sk7)
| ~ accountability(sk2,D,sk8)
| ~ accountability(sk2,C,sk7)
| ~ reliability(sk2,B,sk8)
| ~ reliability(sk2,A,sk7) ),
inference(resolve,[status(thm)],[c_128,c_10]) ).
cnf(c_130,plain,
( greater(A,sk3)
| ~ greater(E,D)
| ~ reproducibility(sk2,E,sk8)
| ~ reproducibility(sk2,D,sk7)
| ~ accountability(sk2,C,sk8)
| ~ accountability(sk2,B,sk7)
| ~ reliability(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_129,c_9]) ).
cnf(c_131,plain,
( greater(sk4,sk3)
| ~ greater(D,C)
| ~ reproducibility(sk2,D,sk8)
| ~ reproducibility(sk2,C,sk7)
| ~ accountability(sk2,B,sk8)
| ~ accountability(sk2,A,sk7) ),
inference(resolve,[status(thm)],[c_130,c_8]) ).
cnf(c_132,plain,
( greater(sk4,sk3)
| ~ greater(C,B)
| ~ reproducibility(sk2,C,sk8)
| ~ reproducibility(sk2,B,sk7)
| ~ accountability(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_131,c_7]) ).
cnf(c_133,plain,
( greater(sk4,sk3)
| ~ greater(B,A)
| ~ reproducibility(sk2,B,sk8)
| ~ reproducibility(sk2,A,sk7) ),
inference(resolve,[status(thm)],[c_132,c_6]) ).
cnf(c_134,plain,
( greater(sk4,sk3)
| ~ greater(A,sk1(sk7,sk2))
| ~ reproducibility(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_133,c_23]) ).
cnf(c_135,plain,
( greater(sk4,sk3)
| ~ greater(sk1(sk8,sk2),sk1(sk7,sk2)) ),
inference(resolve,[status(thm)],[c_134,c_24]) ).
cnf(c_80,plain,
greater(sk4,sk3),
inference(resolve,[status(thm)],[c_135,c_76]) ).
cnf(c_136,plain,
( greater(F,E)
| ~ greater(V7,V6)
| ~ reproducibility(A,V7,B)
| ~ reproducibility(sk2,V6,sk7)
| ~ accountability(A,F,B)
| ~ accountability(sk2,E,sk7)
| ~ reliability(A,D,B)
| ~ reliability(sk2,C,sk7)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_13,c_11]) ).
cnf(c_137,plain,
( greater(D,C)
| ~ greater(F,E)
| ~ reproducibility(sk2,F,sk8)
| ~ reproducibility(sk2,E,sk7)
| ~ accountability(sk2,D,sk8)
| ~ accountability(sk2,C,sk7)
| ~ reliability(sk2,B,sk8)
| ~ reliability(sk2,A,sk7) ),
inference(resolve,[status(thm)],[c_136,c_10]) ).
cnf(c_138,plain,
( greater(C,B)
| ~ greater(E,D)
| ~ reproducibility(sk2,E,sk8)
| ~ reproducibility(sk2,D,sk7)
| ~ accountability(sk2,C,sk8)
| ~ accountability(sk2,B,sk7)
| ~ reliability(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_137,c_9]) ).
cnf(c_139,plain,
( greater(B,A)
| ~ greater(D,C)
| ~ reproducibility(sk2,D,sk8)
| ~ reproducibility(sk2,C,sk7)
| ~ accountability(sk2,B,sk8)
| ~ accountability(sk2,A,sk7) ),
inference(resolve,[status(thm)],[c_138,c_8]) ).
cnf(c_140,plain,
( greater(A,sk5)
| ~ greater(C,B)
| ~ reproducibility(sk2,C,sk8)
| ~ reproducibility(sk2,B,sk7)
| ~ accountability(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_139,c_7]) ).
cnf(c_141,plain,
( greater(sk6,sk5)
| ~ greater(B,A)
| ~ reproducibility(sk2,B,sk8)
| ~ reproducibility(sk2,A,sk7) ),
inference(resolve,[status(thm)],[c_140,c_6]) ).
cnf(c_142,plain,
( greater(sk6,sk5)
| ~ greater(A,sk1(sk7,sk2))
| ~ reproducibility(sk2,A,sk8) ),
inference(resolve,[status(thm)],[c_141,c_23]) ).
cnf(c_143,plain,
( greater(sk6,sk5)
| ~ greater(sk1(sk8,sk2),sk1(sk7,sk2)) ),
inference(resolve,[status(thm)],[c_142,c_24]) ).
cnf(c_81,plain,
greater(sk6,sk5),
inference(resolve,[status(thm)],[c_143,c_76]) ).
cnf(c_144,plain,
~ greater(sk6,sk5),
inference(resolve,[status(thm)],[c_80,c_4]) ).
cnf(c_124,plain,
$false,
inference(resolve,[status(thm)],[c_81,c_144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT006-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 00:04:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 1466189 was started by sandbox on n003,
% 0.10/0.37 % Sat Sep 26 00:04:53 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.38
% 0.10/0.38 % From the command line: assign(max_seconds, 300).
% 0.15/0.42
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.42
% 0.15/0.42 % Proof 1 at 0.03 (+ 0.00) seconds.
% 0.15/0.42 % Length of proof is 21.
% 0.15/0.42 % Level of proof is 5.
% 0.15/0.42 % Maximum clause weight is 36.000.
% 0.15/0.42 % Given clauses 21.
% 0.15/0.42
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------