%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT004-1 : 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 : n026.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 08:02:03 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% 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 : 363 ( 164 ~; 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 : 135 ( 22 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t4_FOL_8,axiom,
reorganization(sk3,sk8,sk9),
file('theBenchmark.p',t4_FOL_8) ).
cnf(c_1,plain,
reorganization(sk3,sk8,sk9),
inference(clausify,[status(thm)],[t4_FOL_8]) ).
fof(a6_FOL_5,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_5) ).
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_5]) ).
fof(a6_FOL_4,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_4) ).
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_4]) ).
cnf(c_4,plain,
( greater(C,D)
| greater(B,sk9)
| ~ greater(B,A)
| greater(sk8,A)
| ~ accountability(sk3,F,B)
| ~ accountability(sk3,E,A)
| ~ reliability(sk3,D,B)
| ~ reliability(sk3,C,A)
| ~ organization(sk3,B)
| ~ organization(sk3,A) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_5,plain,
( greater(E,F)
| greater(B,sk9)
| ~ greater(B,A)
| greater(sk8,A)
| ~ accountability(sk3,F,B)
| ~ accountability(sk3,E,A)
| ~ reliability(sk3,D,B)
| ~ reliability(sk3,C,A)
| ~ organization(sk3,B)
| ~ organization(sk3,A) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(t4_FOL_14,axiom,
~ greater(sk4,sk5),
file('theBenchmark.p',t4_FOL_14) ).
cnf(c_6,plain,
~ greater(sk4,sk5),
inference(clausify,[status(thm)],[t4_FOL_14]) ).
fof(t4_FOL_13,axiom,
~ greater(sk7,sk9),
file('theBenchmark.p',t4_FOL_13) ).
cnf(c_7,plain,
~ greater(sk7,sk9),
inference(clausify,[status(thm)],[t4_FOL_13]) ).
fof(t4_FOL_12,axiom,
greater(sk7,sk6),
file('theBenchmark.p',t4_FOL_12) ).
cnf(c_8,plain,
greater(sk7,sk6),
inference(clausify,[status(thm)],[t4_FOL_12]) ).
fof(t4_FOL_11,axiom,
~ greater(sk8,sk6),
file('theBenchmark.p',t4_FOL_11) ).
cnf(c_9,plain,
~ greater(sk8,sk6),
inference(clausify,[status(thm)],[t4_FOL_11]) ).
fof(t4_FOL_10,axiom,
survival_chance(sk3,sk5,sk7),
file('theBenchmark.p',t4_FOL_10) ).
cnf(c_10,plain,
survival_chance(sk3,sk5,sk7),
inference(clausify,[status(thm)],[t4_FOL_10]) ).
fof(t4_FOL_9,axiom,
survival_chance(sk3,sk4,sk6),
file('theBenchmark.p',t4_FOL_9) ).
cnf(c_11,plain,
survival_chance(sk3,sk4,sk6),
inference(clausify,[status(thm)],[t4_FOL_9]) ).
fof(t4_FOL_7,axiom,
organization(sk3,sk7),
file('theBenchmark.p',t4_FOL_7) ).
cnf(c_12,plain,
organization(sk3,sk7),
inference(clausify,[status(thm)],[t4_FOL_7]) ).
fof(t4_FOL_6,axiom,
organization(sk3,sk6),
file('theBenchmark.p',t4_FOL_6) ).
cnf(c_13,plain,
organization(sk3,sk6),
inference(clausify,[status(thm)],[t4_FOL_6]) ).
fof(a1_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_9,VAR_8)
| ~ greater(VAR_7,VAR_6)
| ~ greater(VAR_5,VAR_4)
| ~ survival_chance(VAR_2,VAR_9,VAR_3)
| ~ survival_chance(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',a1_FOL_3) ).
cnf(c_14,plain,
( greater(V9,V8)
| ~ greater(V7,V6)
| ~ greater(F,E)
| ~ survival_chance(C,V9,D)
| ~ survival_chance(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)],[a1_FOL_3]) ).
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_15,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_16,plain,
( reliability(A,sk1(B,A),B)
| ~ organization(A,B) ),
inference(clausify,[status(thm)],[mp1_1]) ).
cnf(c_74,plain,
accountability(sk3,sk2(sk6,sk3),sk6),
inference(resolve,[status(thm)],[c_15,c_13]) ).
cnf(c_75,plain,
accountability(sk3,sk2(sk7,sk3),sk7),
inference(resolve,[status(thm)],[c_15,c_12]) ).
cnf(c_76,plain,
reliability(sk3,sk1(sk6,sk3),sk6),
inference(resolve,[status(thm)],[c_16,c_13]) ).
cnf(c_77,plain,
reliability(sk3,sk1(sk7,sk3),sk7),
inference(resolve,[status(thm)],[c_16,c_12]) ).
cnf(c_137,plain,
( greater(D,E)
| greater(A,sk9)
| ~ greater(A,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,E,A)
| ~ accountability(sk3,D,sk6)
| ~ reliability(sk3,C,A)
| ~ reliability(sk3,B,sk6)
| ~ organization(sk3,A) ),
inference(resolve,[status(thm)],[c_5,c_13]) ).
cnf(c_138,plain,
( greater(C,D)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,D,sk7)
| ~ accountability(sk3,C,sk6)
| ~ reliability(sk3,B,sk7)
| ~ reliability(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_137,c_12]) ).
cnf(c_139,plain,
( greater(B,C)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,C,sk7)
| ~ accountability(sk3,B,sk6)
| ~ reliability(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_138,c_76]) ).
cnf(c_140,plain,
( greater(A,B)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,B,sk7)
| ~ accountability(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_139,c_77]) ).
cnf(c_141,plain,
( greater(sk2(sk6,sk3),A)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_140,c_74]) ).
cnf(c_142,plain,
( greater(sk2(sk6,sk3),sk2(sk7,sk3))
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6) ),
inference(resolve,[status(thm)],[c_141,c_75]) ).
cnf(c_143,plain,
( greater(sk2(sk6,sk3),sk2(sk7,sk3))
| greater(sk7,sk9)
| greater(sk8,sk6) ),
inference(resolve,[status(thm)],[c_142,c_8]) ).
cnf(c_144,plain,
( greater(sk2(sk6,sk3),sk2(sk7,sk3))
| greater(sk7,sk9) ),
inference(resolve,[status(thm)],[c_9,c_143]) ).
cnf(c_134,plain,
greater(sk2(sk6,sk3),sk2(sk7,sk3)),
inference(resolve,[status(thm)],[c_7,c_144]) ).
cnf(c_145,plain,
( greater(B,C)
| greater(A,sk9)
| ~ greater(A,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,E,A)
| ~ accountability(sk3,D,sk6)
| ~ reliability(sk3,C,A)
| ~ reliability(sk3,B,sk6)
| ~ organization(sk3,A) ),
inference(resolve,[status(thm)],[c_4,c_13]) ).
cnf(c_146,plain,
( greater(A,B)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,D,sk7)
| ~ accountability(sk3,C,sk6)
| ~ reliability(sk3,B,sk7)
| ~ reliability(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_145,c_12]) ).
cnf(c_147,plain,
( greater(sk1(sk6,sk3),A)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,C,sk7)
| ~ accountability(sk3,B,sk6)
| ~ reliability(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_146,c_76]) ).
cnf(c_148,plain,
( greater(sk1(sk6,sk3),sk1(sk7,sk3))
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,B,sk7)
| ~ accountability(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_147,c_77]) ).
cnf(c_149,plain,
( greater(sk1(sk6,sk3),sk1(sk7,sk3))
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_148,c_74]) ).
cnf(c_150,plain,
( greater(sk1(sk6,sk3),sk1(sk7,sk3))
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6) ),
inference(resolve,[status(thm)],[c_149,c_75]) ).
cnf(c_151,plain,
( greater(sk1(sk6,sk3),sk1(sk7,sk3))
| greater(sk7,sk9)
| greater(sk8,sk6) ),
inference(resolve,[status(thm)],[c_150,c_8]) ).
cnf(c_152,plain,
( greater(sk1(sk6,sk3),sk1(sk7,sk3))
| greater(sk7,sk9) ),
inference(resolve,[status(thm)],[c_9,c_151]) ).
cnf(c_135,plain,
greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(resolve,[status(thm)],[c_7,c_152]) ).
cnf(c_153,plain,
( greater(V7,V6)
| ~ greater(F,E)
| ~ greater(D,C)
| ~ survival_chance(A,V7,B)
| ~ survival_chance(sk3,V6,sk7)
| ~ accountability(A,F,B)
| ~ accountability(sk3,E,sk7)
| ~ reliability(A,D,B)
| ~ reliability(sk3,C,sk7)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_14,c_12]) ).
cnf(c_154,plain,
( greater(F,E)
| ~ greater(D,C)
| ~ greater(B,A)
| ~ survival_chance(sk3,F,sk6)
| ~ survival_chance(sk3,E,sk7)
| ~ accountability(sk3,D,sk6)
| ~ accountability(sk3,C,sk7)
| ~ reliability(sk3,B,sk6)
| ~ reliability(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_153,c_13]) ).
cnf(c_155,plain,
( greater(E,D)
| ~ greater(C,B)
| ~ greater(A,sk1(sk7,sk3))
| ~ survival_chance(sk3,E,sk6)
| ~ survival_chance(sk3,D,sk7)
| ~ accountability(sk3,C,sk6)
| ~ accountability(sk3,B,sk7)
| ~ reliability(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_154,c_77]) ).
cnf(c_156,plain,
( greater(D,C)
| ~ greater(B,A)
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,D,sk6)
| ~ survival_chance(sk3,C,sk7)
| ~ accountability(sk3,B,sk6)
| ~ accountability(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_155,c_76]) ).
cnf(c_157,plain,
( greater(C,B)
| ~ greater(A,sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,C,sk6)
| ~ survival_chance(sk3,B,sk7)
| ~ accountability(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_156,c_75]) ).
cnf(c_158,plain,
( greater(B,A)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,B,sk6)
| ~ survival_chance(sk3,A,sk7) ),
inference(resolve,[status(thm)],[c_157,c_74]) ).
cnf(c_159,plain,
( greater(A,sk5)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3))
| ~ survival_chance(sk3,A,sk6) ),
inference(resolve,[status(thm)],[c_158,c_10]) ).
cnf(c_160,plain,
( greater(sk4,sk5)
| ~ greater(sk2(sk6,sk3),sk2(sk7,sk3))
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3)) ),
inference(resolve,[status(thm)],[c_159,c_11]) ).
cnf(c_161,plain,
( greater(sk4,sk5)
| ~ greater(sk1(sk6,sk3),sk1(sk7,sk3)) ),
inference(resolve,[status(thm)],[c_160,c_134]) ).
cnf(c_162,plain,
~ greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(resolve,[status(thm)],[c_161,c_6]) ).
cnf(c_136,plain,
$false,
inference(resolve,[status(thm)],[c_135,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT004-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 00:05:25 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 3785728 was started by sandbox2 on n026,
% 0.08/0.36 % Sat Sep 26 00:05:25 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.43
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.43
% 0.12/0.43 % Proof 1 at 0.05 (+ 0.01) seconds.
% 0.12/0.43 % Length of proof is 23.
% 0.12/0.43 % Level of proof is 3.
% 0.12/0.43 % Maximum clause weight is 44.000.
% 0.12/0.43 % Given clauses 44.
% 0.12/0.43
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------