%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT004+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 : Theorem 0.12s 0.42s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 61 ( 17 unt; 0 def)
% Number of atoms : 287 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 392 ( 166 ~; 171 |; 49 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 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 : 164 ( 18 sgn 45 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp1,axiom,
! [X,T] :
( organization(X,T)
=> ? [R] : reliability(X,R,T) ),
file('theBenchmark.p',mp1) ).
fof(mp2,axiom,
! [X,T] :
( organization(X,T)
=> ? [A] : accountability(X,A,T) ),
file('theBenchmark.p',mp2) ).
fof(a1_FOL,axiom,
! [X,Y,R1,R2,A1,A2,P1,P2,T1,T2] :
( ( greater(A2,A1)
& greater(R2,R1)
& survival_chance(Y,P2,T2)
& survival_chance(X,P1,T1)
& accountability(Y,A2,T2)
& accountability(X,A1,T1)
& reliability(Y,R2,T2)
& reliability(X,R1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(P2,P1) ),
file('theBenchmark.p',a1_FOL) ).
fof(a6_FOL,axiom,
! [X,R1,R2,A1,A2,T1,T2,Ta,Tb] :
( ( ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& accountability(X,A2,T2)
& accountability(X,A1,T1)
& reliability(X,R2,T2)
& reliability(X,R1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) )
=> ( greater(A1,A2)
& greater(R1,R2) ) ),
file('theBenchmark.p',a6_FOL) ).
fof(t4_FOL,conjecture,
! [X,P1,P2,T1,T2,Ta,Tb] :
( ( ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& survival_chance(X,P2,T2)
& survival_chance(X,P1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) )
=> greater(P1,P2) ),
file('theBenchmark.p',t4_FOL) ).
fof(t4_FOL_neg,negated_conjecture,
~ ! [X,P1,P2,T1,T2,Ta,Tb] :
( ( ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& survival_chance(X,P2,T2)
& survival_chance(X,P1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) )
=> greater(P1,P2) ),
inference(assume_negation,[status(cth)],[t4_FOL]) ).
fof(nnf_5,plain,
? [X,P1,P2,T1,T2,Ta,Tb] :
( ~ greater(P1,P2)
& ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& survival_chance(X,P2,T2)
& survival_chance(X,P1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) ),
inference(fof_nnf,[status(thm)],[t4_FOL_neg]) ).
fof(sk_t4_FOL_neg,plain,
( ~ greater(sK3,sK4)
& ~ greater(sK5,sK2)
& greater(sK5,sK6)
& ~ greater(sK1,sK6)
& survival_chance(sK0,sK4,sK5)
& survival_chance(sK0,sK3,sK6)
& reorganization(sK0,sK1,sK2)
& organization(sK0,sK5)
& organization(sK0,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK6,sK5,sK1,sK2,sK3,sK4]),skolemize(X,sK0),skolemize(P1,sK3),skolemize(P2,sK4),skolemize(T1,sK6),skolemize(T2,sK5),skolemize(Ta,sK1),skolemize(Tb,sK2)],[nnf_5]) ).
cnf(c_6,negated_conjecture,
reorganization(sK0,sK1,sK2),
inference(split_conjunct,[status(thm)],[sk_t4_FOL_neg]) ).
cnf(c_7,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]) ).
cnf(c_8,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]) ).
cnf(c_9,negated_conjecture,
( greater(C,D)
| greater(B,sK2)
| ~ greater(B,A)
| greater(sK1,A)
| ~ accountability(sK0,F,B)
| ~ accountability(sK0,E,A)
| ~ reliability(sK0,D,B)
| ~ reliability(sK0,C,A)
| ~ organization(sK0,B)
| ~ organization(sK0,A) ),
inference(resolve,[status(thm)],[c_6,c_8]) ).
cnf(c_10,negated_conjecture,
( greater(E,F)
| greater(B,sK2)
| ~ greater(B,A)
| greater(sK1,A)
| ~ accountability(sK0,F,B)
| ~ accountability(sK0,E,A)
| ~ reliability(sK0,D,B)
| ~ reliability(sK0,C,A)
| ~ organization(sK0,B)
| ~ organization(sK0,A) ),
inference(resolve,[status(thm)],[c_6,c_7]) ).
cnf(c_11,negated_conjecture,
~ greater(sK3,sK4),
inference(split_conjunct,[status(thm)],[sk_t4_FOL_neg]) ).
cnf(c_12,negated_conjecture,
~ greater(sK5,sK2),
inference(split_conjunct,[status(thm)],[sk_t4_FOL_neg]) ).
cnf(c_13,negated_conjecture,
greater(sK5,sK6),
inference(split_conjunct,[status(thm)],[sk_t4_FOL_neg]) ).
cnf(c_14,negated_conjecture,
~ greater(sK1,sK6),
inference(split_conjunct,[status(thm)],[sk_t4_FOL_neg]) ).
cnf(c_15,negated_conjecture,
survival_chance(sK0,sK4,sK5),
inference(split_conjunct,[status(thm)],[sk_t4_FOL_neg]) ).
cnf(c_16,negated_conjecture,
survival_chance(sK0,sK3,sK6),
inference(split_conjunct,[status(thm)],[sk_t4_FOL_neg]) ).
cnf(c_17,negated_conjecture,
organization(sK0,sK5),
inference(split_conjunct,[status(thm)],[sk_t4_FOL_neg]) ).
cnf(c_18,negated_conjecture,
organization(sK0,sK6),
inference(split_conjunct,[status(thm)],[sk_t4_FOL_neg]) ).
cnf(c_19,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]) ).
fof(nnf_2,plain,
! [X,T] :
( ? [A] : accountability(X,A,T)
| ~ organization(X,T) ),
inference(fof_nnf,[status(thm)],[mp2]) ).
fof(sk_mp2,plain,
! [X,T] :
( accountability(X,sK7(X,T),T)
| ~ organization(X,T) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(A,sK7(X,T))],[nnf_2]) ).
cnf(c_20,plain,
( accountability(A,sK7(A,B),B)
| ~ organization(A,B) ),
inference(split_conjunct,[status(thm)],[sk_mp2]) ).
fof(nnf_1,plain,
! [X,T] :
( ? [R] : reliability(X,R,T)
| ~ organization(X,T) ),
inference(fof_nnf,[status(thm)],[mp1]) ).
fof(sk_mp1,plain,
! [X,T] :
( reliability(X,sK8(X,T),T)
| ~ organization(X,T) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(R,sK8(X,T))],[nnf_1]) ).
cnf(c_21,plain,
( reliability(A,sK8(A,B),B)
| ~ organization(A,B) ),
inference(split_conjunct,[status(thm)],[sk_mp1]) ).
cnf(c_186,negated_conjecture,
( greater(V6,sK4)
| ~ greater(F,E)
| ~ greater(D,C)
| ~ survival_chance(A,V6,B)
| ~ accountability(A,F,B)
| ~ accountability(sK0,E,sK5)
| ~ reliability(A,D,B)
| ~ reliability(sK0,C,sK5)
| ~ organization(A,B)
| ~ organization(sK0,sK5) ),
inference(resolve,[status(thm)],[c_19,c_15]) ).
cnf(c_56,negated_conjecture,
( greater(V6,sK4)
| ~ greater(F,E)
| ~ greater(D,C)
| ~ survival_chance(A,V6,B)
| ~ accountability(A,F,B)
| ~ accountability(sK0,E,sK5)
| ~ reliability(A,D,B)
| ~ reliability(sK0,C,sK5)
| ~ organization(A,B) ),
inference(resolve,[status(thm)],[c_17,c_186]) ).
cnf(c_79,plain,
accountability(sK0,sK7(sK0,sK6),sK6),
inference(resolve,[status(thm)],[c_20,c_18]) ).
cnf(c_80,plain,
accountability(sK0,sK7(sK0,sK5),sK5),
inference(resolve,[status(thm)],[c_20,c_17]) ).
cnf(c_81,plain,
reliability(sK0,sK8(sK0,sK6),sK6),
inference(resolve,[status(thm)],[c_21,c_18]) ).
cnf(c_82,plain,
reliability(sK0,sK8(sK0,sK5),sK5),
inference(resolve,[status(thm)],[c_21,c_17]) ).
cnf(c_187,negated_conjecture,
( greater(sK3,sK4)
| ~ greater(D,C)
| ~ greater(B,A)
| ~ accountability(sK0,D,sK6)
| ~ accountability(sK0,C,sK5)
| ~ reliability(sK0,B,sK6)
| ~ reliability(sK0,A,sK5)
| ~ organization(sK0,sK6) ),
inference(resolve,[status(thm)],[c_56,c_16]) ).
cnf(c_188,negated_conjecture,
( greater(sK3,sK4)
| ~ greater(D,C)
| ~ greater(B,A)
| ~ accountability(sK0,D,sK6)
| ~ accountability(sK0,C,sK5)
| ~ reliability(sK0,B,sK6)
| ~ reliability(sK0,A,sK5) ),
inference(resolve,[status(thm)],[c_18,c_187]) ).
cnf(c_105,negated_conjecture,
( ~ greater(D,C)
| ~ greater(B,A)
| ~ accountability(sK0,D,sK6)
| ~ accountability(sK0,C,sK5)
| ~ reliability(sK0,B,sK6)
| ~ reliability(sK0,A,sK5) ),
inference(resolve,[status(thm)],[c_11,c_188]) ).
cnf(c_108,plain,
( ~ greater(C,B)
| ~ greater(sK8(sK0,sK6),A)
| ~ accountability(sK0,C,sK6)
| ~ accountability(sK0,B,sK5)
| ~ reliability(sK0,A,sK5) ),
inference(resolve,[status(thm)],[c_81,c_105]) ).
cnf(c_189,negated_conjecture,
( greater(C,D)
| greater(A,sK2)
| ~ greater(A,sK6)
| greater(sK1,sK6)
| ~ accountability(sK0,D,A)
| ~ accountability(sK0,C,sK6)
| ~ reliability(sK0,B,A)
| ~ organization(sK0,A)
| ~ organization(sK0,sK6) ),
inference(resolve,[status(thm)],[c_81,c_10]) ).
cnf(c_190,negated_conjecture,
( greater(C,D)
| greater(A,sK2)
| ~ greater(A,sK6)
| greater(sK1,sK6)
| ~ accountability(sK0,D,A)
| ~ accountability(sK0,C,sK6)
| ~ reliability(sK0,B,A)
| ~ organization(sK0,A) ),
inference(resolve,[status(thm)],[c_18,c_189]) ).
cnf(c_123,negated_conjecture,
( greater(C,D)
| greater(A,sK2)
| ~ greater(A,sK6)
| ~ accountability(sK0,D,A)
| ~ accountability(sK0,C,sK6)
| ~ reliability(sK0,B,A)
| ~ organization(sK0,A) ),
inference(resolve,[status(thm)],[c_14,c_190]) ).
cnf(c_148,plain,
( ~ greater(B,A)
| ~ greater(sK8(sK0,sK6),sK8(sK0,sK5))
| ~ accountability(sK0,B,sK6)
| ~ accountability(sK0,A,sK5) ),
inference(resolve,[status(thm)],[c_108,c_82]) ).
cnf(c_151,plain,
( ~ greater(A,sK7(sK0,sK5))
| ~ greater(sK8(sK0,sK6),sK8(sK0,sK5))
| ~ accountability(sK0,A,sK6) ),
inference(resolve,[status(thm)],[c_148,c_80]) ).
cnf(c_153,plain,
( ~ greater(sK7(sK0,sK6),sK7(sK0,sK5))
| ~ greater(sK8(sK0,sK6),sK8(sK0,sK5)) ),
inference(resolve,[status(thm)],[c_151,c_79]) ).
cnf(c_191,plain,
( greater(A,B)
| greater(sK5,sK2)
| ~ greater(sK5,sK6)
| ~ accountability(sK0,B,sK5)
| ~ accountability(sK0,A,sK6)
| ~ organization(sK0,sK5) ),
inference(resolve,[status(thm)],[c_123,c_82]) ).
cnf(c_192,negated_conjecture,
( greater(A,B)
| greater(sK5,sK2)
| ~ greater(sK5,sK6)
| ~ accountability(sK0,B,sK5)
| ~ accountability(sK0,A,sK6) ),
inference(resolve,[status(thm)],[c_17,c_191]) ).
cnf(c_193,negated_conjecture,
( greater(A,B)
| greater(sK5,sK2)
| ~ accountability(sK0,B,sK5)
| ~ accountability(sK0,A,sK6) ),
inference(resolve,[status(thm)],[c_13,c_192]) ).
cnf(c_180,negated_conjecture,
( greater(A,B)
| ~ accountability(sK0,B,sK5)
| ~ accountability(sK0,A,sK6) ),
inference(resolve,[status(thm)],[c_12,c_193]) ).
cnf(c_181,plain,
( greater(sK7(sK0,sK6),A)
| ~ accountability(sK0,A,sK5) ),
inference(resolve,[status(thm)],[c_180,c_79]) ).
cnf(c_183,plain,
greater(sK7(sK0,sK6),sK7(sK0,sK5)),
inference(resolve,[status(thm)],[c_181,c_80]) ).
cnf(c_184,plain,
~ greater(sK8(sK0,sK6),sK8(sK0,sK5)),
inference(resolve,[status(thm)],[c_183,c_153]) ).
cnf(c_194,negated_conjecture,
( greater(B,C)
| greater(sK5,sK2)
| ~ greater(sK5,A)
| greater(sK1,A)
| ~ accountability(sK0,E,sK5)
| ~ accountability(sK0,D,A)
| ~ reliability(sK0,C,sK5)
| ~ reliability(sK0,B,A)
| ~ organization(sK0,A) ),
inference(resolve,[status(thm)],[c_9,c_17]) ).
cnf(c_195,negated_conjecture,
( greater(sK8(sK0,sK6),A)
| greater(sK5,sK2)
| ~ greater(sK5,sK6)
| greater(sK1,sK6)
| ~ accountability(sK0,C,sK5)
| ~ accountability(sK0,B,sK6)
| ~ reliability(sK0,A,sK5)
| ~ organization(sK0,sK6) ),
inference(resolve,[status(thm)],[c_194,c_81]) ).
cnf(c_196,negated_conjecture,
( greater(sK8(sK0,sK6),sK8(sK0,sK5))
| greater(sK5,sK2)
| ~ greater(sK5,sK6)
| greater(sK1,sK6)
| ~ accountability(sK0,B,sK5)
| ~ accountability(sK0,A,sK6)
| ~ organization(sK0,sK6) ),
inference(resolve,[status(thm)],[c_195,c_82]) ).
cnf(c_197,negated_conjecture,
( greater(sK8(sK0,sK6),sK8(sK0,sK5))
| greater(sK5,sK2)
| ~ greater(sK5,sK6)
| greater(sK1,sK6)
| ~ accountability(sK0,A,sK5)
| ~ organization(sK0,sK6) ),
inference(resolve,[status(thm)],[c_196,c_79]) ).
cnf(c_198,negated_conjecture,
( greater(sK8(sK0,sK6),sK8(sK0,sK5))
| greater(sK5,sK2)
| ~ greater(sK5,sK6)
| greater(sK1,sK6)
| ~ organization(sK0,sK6) ),
inference(resolve,[status(thm)],[c_197,c_80]) ).
cnf(c_199,negated_conjecture,
( greater(sK8(sK0,sK6),sK8(sK0,sK5))
| greater(sK5,sK2)
| ~ greater(sK5,sK6)
| ~ organization(sK0,sK6) ),
inference(resolve,[status(thm)],[c_198,c_14]) ).
cnf(c_200,negated_conjecture,
( greater(sK8(sK0,sK6),sK8(sK0,sK5))
| greater(sK5,sK2)
| ~ organization(sK0,sK6) ),
inference(resolve,[status(thm)],[c_199,c_13]) ).
cnf(c_201,negated_conjecture,
( greater(sK8(sK0,sK6),sK8(sK0,sK5))
| ~ organization(sK0,sK6) ),
inference(resolve,[status(thm)],[c_200,c_12]) ).
cnf(c_202,negated_conjecture,
~ organization(sK0,sK6),
inference(resolve,[status(thm)],[c_201,c_184]) ).
cnf(c_185,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_18,c_202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT004+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.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 00:03:33 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 4144910 was started by sandbox2 on n020,
% 0.08/0.36 % Sat Sep 26 00:03:33 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).
% 0.12/0.42
% 0.12/0.42 % SZS status Theorem for theBenchmark
% 0.12/0.42
% 0.12/0.42 % Proof 1 at 0.04 (+ 0.01) seconds.
% 0.12/0.42 % Length of proof is 37.
% 0.12/0.42 % Level of proof is 9.
% 0.12/0.42 % Maximum clause weight is 44.000.
% 0.12/0.42 % Given clauses 136.
% 0.12/0.42
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------