%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT007-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 63 ( 26 unt; 0 def)
% Number of atoms : 262 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 368 ( 169 ~; 199 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 138 ( 22 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_FOL_11,axiom,
reorganization(sk4,sk9,sk10),
file('theBenchmark.p',t7_FOL_11) ).
cnf(c_1,plain,
reorganization(sk4,sk9,sk10),
inference(clausify,[status(thm)],[t7_FOL_11]) ).
fof(a6_FOL_8,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8] :
( greater(VAR_7,VAR_8)
| greater(VAR_2,VAR_4)
| ~ greater(VAR_2,VAR_1)
| greater(VAR_3,VAR_1)
| ~ accountability(VAR_0,VAR_8,VAR_2)
| ~ accountability(VAR_0,VAR_7,VAR_1)
| ~ reliability(VAR_0,VAR_6,VAR_2)
| ~ reliability(VAR_0,VAR_5,VAR_1)
| ~ reorganization(VAR_0,VAR_3,VAR_4)
| ~ organization(VAR_0,VAR_2)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',a6_FOL_8) ).
cnf(c_2,plain,
( greater(V7,V8)
| greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,V8,C)
| ~ accountability(A,V7,B)
| ~ reliability(A,V6,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[a6_FOL_8]) ).
fof(a6_FOL_7,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8] :
( greater(VAR_5,VAR_6)
| greater(VAR_2,VAR_4)
| ~ greater(VAR_2,VAR_1)
| greater(VAR_3,VAR_1)
| ~ accountability(VAR_0,VAR_8,VAR_2)
| ~ accountability(VAR_0,VAR_7,VAR_1)
| ~ reliability(VAR_0,VAR_6,VAR_2)
| ~ reliability(VAR_0,VAR_5,VAR_1)
| ~ reorganization(VAR_0,VAR_3,VAR_4)
| ~ organization(VAR_0,VAR_2)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',a6_FOL_7) ).
cnf(c_3,plain,
( greater(F,V6)
| greater(C,E)
| ~ greater(C,B)
| greater(D,B)
| ~ accountability(A,V8,C)
| ~ accountability(A,V7,B)
| ~ reliability(A,V6,C)
| ~ reliability(A,F,B)
| ~ reorganization(A,D,E)
| ~ organization(A,C)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[a6_FOL_7]) ).
cnf(c_4,plain,
( greater(C,D)
| greater(B,sk10)
| ~ greater(B,A)
| greater(sk9,A)
| ~ accountability(sk4,F,B)
| ~ accountability(sk4,E,A)
| ~ reliability(sk4,D,B)
| ~ reliability(sk4,C,A)
| ~ organization(sk4,B)
| ~ organization(sk4,A) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_5,plain,
( greater(E,F)
| greater(B,sk10)
| ~ greater(B,A)
| greater(sk9,A)
| ~ accountability(sk4,F,B)
| ~ accountability(sk4,E,A)
| ~ reliability(sk4,D,B)
| ~ reliability(sk4,C,A)
| ~ organization(sk4,B)
| ~ organization(sk4,A) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(t7_FOL_17,axiom,
~ greater(sk5,sk6),
file('theBenchmark.p',t7_FOL_17) ).
cnf(c_6,plain,
~ greater(sk5,sk6),
inference(clausify,[status(thm)],[t7_FOL_17]) ).
fof(t7_FOL_16,axiom,
~ greater(sk8,sk10),
file('theBenchmark.p',t7_FOL_16) ).
cnf(c_7,plain,
~ greater(sk8,sk10),
inference(clausify,[status(thm)],[t7_FOL_16]) ).
fof(t7_FOL_15,axiom,
greater(sk8,sk7),
file('theBenchmark.p',t7_FOL_15) ).
cnf(c_8,plain,
greater(sk8,sk7),
inference(clausify,[status(thm)],[t7_FOL_15]) ).
fof(t7_FOL_14,axiom,
~ greater(sk9,sk7),
file('theBenchmark.p',t7_FOL_14) ).
cnf(c_9,plain,
~ greater(sk9,sk7),
inference(clausify,[status(thm)],[t7_FOL_14]) ).
fof(t7_FOL_13,axiom,
reproducibility(sk4,sk6,sk8),
file('theBenchmark.p',t7_FOL_13) ).
cnf(c_10,plain,
reproducibility(sk4,sk6,sk8),
inference(clausify,[status(thm)],[t7_FOL_13]) ).
fof(t7_FOL_12,axiom,
reproducibility(sk4,sk5,sk7),
file('theBenchmark.p',t7_FOL_12) ).
cnf(c_11,plain,
reproducibility(sk4,sk5,sk7),
inference(clausify,[status(thm)],[t7_FOL_12]) ).
fof(t7_FOL_10,axiom,
organization(sk4,sk8),
file('theBenchmark.p',t7_FOL_10) ).
cnf(c_12,plain,
organization(sk4,sk8),
inference(clausify,[status(thm)],[t7_FOL_10]) ).
fof(t7_FOL_9,axiom,
organization(sk4,sk7),
file('theBenchmark.p',t7_FOL_9) ).
cnf(c_13,plain,
organization(sk4,sk7),
inference(clausify,[status(thm)],[t7_FOL_9]) ).
fof(a2_FOL_6,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5,VAR_6,VAR_7,VAR_8,VAR_9] :
( greater(VAR_9,VAR_8)
| ~ greater(VAR_7,VAR_6)
| ~ greater(VAR_5,VAR_4)
| ~ 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_6) ).
cnf(c_14,plain,
( greater(V9,V8)
| ~ greater(V7,V6)
| ~ greater(F,E)
| ~ 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_6]) ).
fof(mp2_2,axiom,
! [VAR_0,VAR_1] :
( accountability(VAR_0,sk2(VAR_1,VAR_0),VAR_1)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',mp2_2) ).
cnf(c_18,plain,
( accountability(A,sk2(B,A),B)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[mp2_2]) ).
fof(mp1_1,axiom,
! [VAR_0,VAR_1] :
( reliability(VAR_0,sk1(VAR_1,VAR_0),VAR_1)
| ~ organization(VAR_0,VAR_1) ),
file('theBenchmark.p',mp1_1) ).
cnf(c_19,plain,
( reliability(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[mp1_1]) ).
cnf(c_297,plain,
( greater(V6,sk6)
| ~ greater(F,E)
| ~ greater(D,C)
| ~ reproducibility(A,V6,B)
| ~ accountability(A,F,B)
| ~ accountability(sk4,E,sk8)
| ~ reliability(A,D,B)
| ~ reliability(sk4,C,sk8)
| ~ organization(A,B)
| ~ organization(sk4,sk8) ),
inference(resolve,[status(thm)],[c_14,c_10]) ).
cnf(c_70,plain,
( greater(V6,sk6)
| ~ greater(F,E)
| ~ greater(D,C)
| ~ reproducibility(A,V6,B)
| ~ accountability(A,F,B)
| ~ accountability(sk4,E,sk8)
| ~ reliability(A,D,B)
| ~ reliability(sk4,C,sk8)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_12,c_297]) ).
cnf(c_127,plain,
accountability(sk4,sk2(sk7,sk4),sk7),
inference(resolve,[status(thm)],[c_18,c_13]) ).
cnf(c_128,plain,
accountability(sk4,sk2(sk8,sk4),sk8),
inference(resolve,[status(thm)],[c_18,c_12]) ).
cnf(c_129,plain,
reliability(sk4,sk1(sk7,sk4),sk7),
inference(resolve,[status(thm)],[c_19,c_13]) ).
cnf(c_130,plain,
reliability(sk4,sk1(sk8,sk4),sk8),
inference(resolve,[status(thm)],[c_19,c_12]) ).
cnf(c_298,plain,
( greater(D,E)
| greater(A,sk10)
| ~ greater(A,sk7)
| greater(sk9,sk7)
| ~ accountability(sk4,E,A)
| ~ accountability(sk4,D,sk7)
| ~ reliability(sk4,C,A)
| ~ reliability(sk4,B,sk7)
| ~ organization(sk4,A) ),
inference(resolve,[status(thm)],[c_5,c_13]) ).
cnf(c_299,plain,
( greater(C,D)
| greater(sk8,sk10)
| ~ greater(sk8,sk7)
| greater(sk9,sk7)
| ~ accountability(sk4,D,sk8)
| ~ accountability(sk4,C,sk7)
| ~ reliability(sk4,B,sk8)
| ~ reliability(sk4,A,sk7) ),
inference(resolve,[status(thm)],[c_298,c_12]) ).
cnf(c_300,plain,
( greater(B,C)
| greater(sk8,sk10)
| ~ greater(sk8,sk7)
| greater(sk9,sk7)
| ~ accountability(sk4,C,sk8)
| ~ accountability(sk4,B,sk7)
| ~ reliability(sk4,A,sk8) ),
inference(resolve,[status(thm)],[c_299,c_129]) ).
cnf(c_301,plain,
( greater(A,B)
| greater(sk8,sk10)
| ~ greater(sk8,sk7)
| greater(sk9,sk7)
| ~ accountability(sk4,B,sk8)
| ~ accountability(sk4,A,sk7) ),
inference(resolve,[status(thm)],[c_300,c_130]) ).
cnf(c_302,plain,
( greater(sk2(sk7,sk4),A)
| greater(sk8,sk10)
| ~ greater(sk8,sk7)
| greater(sk9,sk7)
| ~ accountability(sk4,A,sk8) ),
inference(resolve,[status(thm)],[c_301,c_127]) ).
cnf(c_303,plain,
( greater(sk2(sk7,sk4),sk2(sk8,sk4))
| greater(sk8,sk10)
| ~ greater(sk8,sk7)
| greater(sk9,sk7) ),
inference(resolve,[status(thm)],[c_302,c_128]) ).
cnf(c_304,plain,
( greater(sk2(sk7,sk4),sk2(sk8,sk4))
| greater(sk8,sk10)
| greater(sk9,sk7) ),
inference(resolve,[status(thm)],[c_303,c_8]) ).
cnf(c_305,plain,
( greater(sk2(sk7,sk4),sk2(sk8,sk4))
| greater(sk8,sk10) ),
inference(resolve,[status(thm)],[c_9,c_304]) ).
cnf(c_279,plain,
greater(sk2(sk7,sk4),sk2(sk8,sk4)),
inference(resolve,[status(thm)],[c_7,c_305]) ).
cnf(c_306,plain,
( greater(B,C)
| greater(A,sk10)
| ~ greater(A,sk7)
| greater(sk9,sk7)
| ~ accountability(sk4,E,A)
| ~ accountability(sk4,D,sk7)
| ~ reliability(sk4,C,A)
| ~ reliability(sk4,B,sk7)
| ~ organization(sk4,A) ),
inference(resolve,[status(thm)],[c_4,c_13]) ).
cnf(c_307,plain,
( greater(A,B)
| greater(sk8,sk10)
| ~ greater(sk8,sk7)
| greater(sk9,sk7)
| ~ accountability(sk4,D,sk8)
| ~ accountability(sk4,C,sk7)
| ~ reliability(sk4,B,sk8)
| ~ reliability(sk4,A,sk7) ),
inference(resolve,[status(thm)],[c_306,c_12]) ).
cnf(c_308,plain,
( greater(sk1(sk7,sk4),A)
| greater(sk8,sk10)
| ~ greater(sk8,sk7)
| greater(sk9,sk7)
| ~ accountability(sk4,C,sk8)
| ~ accountability(sk4,B,sk7)
| ~ reliability(sk4,A,sk8) ),
inference(resolve,[status(thm)],[c_307,c_129]) ).
cnf(c_309,plain,
( greater(sk1(sk7,sk4),sk1(sk8,sk4))
| greater(sk8,sk10)
| ~ greater(sk8,sk7)
| greater(sk9,sk7)
| ~ accountability(sk4,B,sk8)
| ~ accountability(sk4,A,sk7) ),
inference(resolve,[status(thm)],[c_308,c_130]) ).
cnf(c_310,plain,
( greater(sk1(sk7,sk4),sk1(sk8,sk4))
| greater(sk8,sk10)
| ~ greater(sk8,sk7)
| greater(sk9,sk7)
| ~ accountability(sk4,A,sk8) ),
inference(resolve,[status(thm)],[c_309,c_127]) ).
cnf(c_311,plain,
( greater(sk1(sk7,sk4),sk1(sk8,sk4))
| greater(sk8,sk10)
| ~ greater(sk8,sk7)
| greater(sk9,sk7) ),
inference(resolve,[status(thm)],[c_310,c_128]) ).
cnf(c_312,plain,
( greater(sk1(sk7,sk4),sk1(sk8,sk4))
| greater(sk8,sk10)
| greater(sk9,sk7) ),
inference(resolve,[status(thm)],[c_311,c_8]) ).
cnf(c_313,plain,
( greater(sk1(sk7,sk4),sk1(sk8,sk4))
| greater(sk8,sk10) ),
inference(resolve,[status(thm)],[c_9,c_312]) ).
cnf(c_280,plain,
greater(sk1(sk7,sk4),sk1(sk8,sk4)),
inference(resolve,[status(thm)],[c_7,c_313]) ).
cnf(c_314,plain,
( greater(sk5,sk6)
| ~ greater(D,C)
| ~ greater(B,A)
| ~ accountability(sk4,D,sk7)
| ~ accountability(sk4,C,sk8)
| ~ reliability(sk4,B,sk7)
| ~ reliability(sk4,A,sk8)
| ~ organization(sk4,sk7) ),
inference(resolve,[status(thm)],[c_70,c_11]) ).
cnf(c_315,plain,
( greater(sk5,sk6)
| ~ greater(D,C)
| ~ greater(B,A)
| ~ accountability(sk4,D,sk7)
| ~ accountability(sk4,C,sk8)
| ~ reliability(sk4,B,sk7)
| ~ reliability(sk4,A,sk8) ),
inference(resolve,[status(thm)],[c_13,c_314]) ).
cnf(c_283,plain,
( ~ greater(D,C)
| ~ greater(B,A)
| ~ accountability(sk4,D,sk7)
| ~ accountability(sk4,C,sk8)
| ~ reliability(sk4,B,sk7)
| ~ reliability(sk4,A,sk8) ),
inference(resolve,[status(thm)],[c_6,c_315]) ).
cnf(c_316,plain,
( ~ greater(C,B)
| ~ greater(A,sk1(sk8,sk4))
| ~ accountability(sk4,C,sk7)
| ~ accountability(sk4,B,sk8)
| ~ reliability(sk4,A,sk7) ),
inference(resolve,[status(thm)],[c_283,c_130]) ).
cnf(c_317,plain,
( ~ greater(B,A)
| ~ greater(sk1(sk7,sk4),sk1(sk8,sk4))
| ~ accountability(sk4,B,sk7)
| ~ accountability(sk4,A,sk8) ),
inference(resolve,[status(thm)],[c_316,c_129]) ).
cnf(c_318,plain,
( ~ greater(A,sk2(sk8,sk4))
| ~ greater(sk1(sk7,sk4),sk1(sk8,sk4))
| ~ accountability(sk4,A,sk7) ),
inference(resolve,[status(thm)],[c_317,c_128]) ).
cnf(c_319,plain,
( ~ greater(sk2(sk7,sk4),sk2(sk8,sk4))
| ~ greater(sk1(sk7,sk4),sk1(sk8,sk4)) ),
inference(resolve,[status(thm)],[c_318,c_127]) ).
cnf(c_320,plain,
~ greater(sk1(sk7,sk4),sk1(sk8,sk4)),
inference(resolve,[status(thm)],[c_319,c_279]) ).
cnf(c_296,plain,
$false,
inference(resolve,[status(thm)],[c_280,c_320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT007-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n014.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 : Sat Sep 26 00:02:47 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 1448355 was started by sandbox2 on n014,
% 0.08/0.35 % Sat Sep 26 00:02:47 2026
% 0.08/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.35
% 0.08/0.35 % From the command line: assign(max_seconds, 300).
% 0.12/0.45
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45
% 0.12/0.45 % Proof 1 at 0.07 (+ 0.02) seconds.
% 0.12/0.45 % Length of proof is 25.
% 0.12/0.45 % Level of proof is 3.
% 0.12/0.45 % Maximum clause weight is 44.000.
% 0.12/0.45 % Given clauses 62.
% 0.12/0.45
% 0.12/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------