%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT004+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 : Tue Sep 8 06:11:18 AM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 31 unt; 0 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 190 ( 79 ~; 72 |; 33 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 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 : 71 ( 4 sgn 37 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t4_FOL,plain,
! [X,P1,P2,T1,T2,Ta,Tb] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization(X,Ta,Tb)
& survival_chance(X,P1,T1)
& survival_chance(X,P2,T2)
& ~ greater(Ta,T1)
& greater(T2,T1)
& ~ greater(T2,Tb) )
=> greater(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_FOL) ).
fof(t4_FOL_negated,plain,
~ ! [X,P1,P2,T1,T2,Ta,Tb] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization(X,Ta,Tb)
& survival_chance(X,P1,T1)
& survival_chance(X,P2,T2)
& ~ greater(Ta,T1)
& greater(T2,T1)
& ~ greater(T2,Tb) )
=> greater(P1,P2) ),
inference(negate_conjecture,[status(cth)],[t4_FOL]) ).
cnf(5,plain,
organization(sK3,sK6),
inference(cnf,[status(esa)],[t4_FOL_negated]) ).
cnf(l0,plain,
organization(sK3,sK6),
inference(instantiation,[status(thm)],[5]) ).
fof(mp1,plain,
! [X,T] :
( organization(X,T)
=> ? [R] : reliability(X,R,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1) ).
cnf(0,plain,
( ~ organization(X0,X1)
| reliability(X0,sK1(X0,X1),X1) ),
inference(cnf,[status(esa)],[mp1]) ).
cnf(l1,plain,
( ~ organization(sK3,sK6)
| reliability(sK3,sK1(sK3,sK6),sK6) ),
inference(instantiation,[status(thm)],[0]) ).
fof(a6_FOL,plain,
! [X,R1,R2,A1,A2,T1,T2,Ta,Tb] :
( ( organization(X,T1)
& organization(X,T2)
& reorganization(X,Ta,Tb)
& reliability(X,R1,T1)
& reliability(X,R2,T2)
& accountability(X,A1,T1)
& accountability(X,A2,T2)
& ~ greater(Ta,T1)
& greater(T2,T1)
& ~ greater(T2,Tb) )
=> ( greater(R1,R2)
& greater(A1,A2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL) ).
cnf(3,plain,
( ~ reorganization(X0,X1,X2)
| ~ greater(X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3)
| ~ reliability(X0,X5,X4)
| ~ reliability(X0,X6,X3)
| ~ accountability(X0,X7,X4)
| ~ accountability(X0,X8,X3)
| greater(X5,X6)
| greater(X3,X2)
| greater(X1,X4) ),
inference(cnf,[status(esa)],[a6_FOL]) ).
cnf(l12,plain,
( ~ reorganization(sK3,sK8,sK9)
| ~ greater(sK7,sK6)
| ~ organization(sK3,sK6)
| ~ organization(sK3,sK7)
| ~ reliability(sK3,sK1(sK3,sK6),sK6)
| ~ reliability(sK3,sK1(sK3,sK7),sK7)
| ~ accountability(sK3,sK2(sK3,sK6),sK6)
| ~ accountability(sK3,sK2(sK3,sK7),sK7)
| greater(sK1(sK3,sK6),sK1(sK3,sK7))
| greater(sK7,sK9)
| greater(sK8,sK6) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(12,plain,
~ greater(sK7,sK9),
inference(cnf,[status(esa)],[t4_FOL_negated]) ).
cnf(l30,plain,
~ greater(sK7,sK9),
inference(instantiation,[status(thm)],[12]) ).
fof(mp2,plain,
! [X,T] :
( organization(X,T)
=> ? [A] : accountability(X,A,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2) ).
cnf(1,plain,
( ~ organization(X0,X1)
| accountability(X0,sK2(X0,X1),X1) ),
inference(cnf,[status(esa)],[mp2]) ).
cnf(l36,plain,
( ~ organization(sK3,sK6)
| accountability(sK3,sK2(sK3,sK6),sK6) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l107,plain,
( ~ organization(sK3,sK7)
| accountability(sK3,sK2(sK3,sK7),sK7) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
organization(sK3,sK7),
inference(cnf,[status(esa)],[t4_FOL_negated]) ).
cnf(l108,plain,
organization(sK3,sK7),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
reorganization(sK3,sK8,sK9),
inference(cnf,[status(esa)],[t4_FOL_negated]) ).
cnf(l49,plain,
reorganization(sK3,sK8,sK9),
inference(instantiation,[status(thm)],[7]) ).
cnf(l109,plain,
organization(sK3,sK7),
inference(instantiation,[status(thm)],[6]) ).
cnf(l23,plain,
( ~ organization(sK3,sK7)
| reliability(sK3,sK1(sK3,sK7),sK7) ),
inference(instantiation,[status(thm)],[0]) ).
fof(a1_FOL,plain,
! [X,Y,R1,R2,A1,A2,P1,P2,T1,T2] :
( ( organization(X,T1)
& organization(Y,T2)
& reliability(X,R1,T1)
& reliability(Y,R2,T2)
& accountability(X,A1,T1)
& accountability(Y,A2,T2)
& survival_chance(X,P1,T1)
& survival_chance(Y,P2,T2)
& greater(R2,R1)
& greater(A2,A1) )
=> greater(P2,P1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_FOL) ).
cnf(2,plain,
( ~ survival_chance(X0,X1,X2)
| ~ survival_chance(X3,X4,X5)
| ~ greater(X6,X7)
| ~ greater(X8,X9)
| ~ organization(X0,X2)
| ~ organization(X3,X5)
| ~ reliability(X0,X7,X2)
| ~ reliability(X3,X6,X5)
| ~ accountability(X0,X9,X2)
| ~ accountability(X3,X8,X5)
| greater(X4,X1) ),
inference(cnf,[status(esa)],[a1_FOL]) ).
cnf(l53,plain,
( ~ survival_chance(sK3,sK5,sK7)
| ~ survival_chance(sK3,sK4,sK6)
| ~ greater(sK1(sK3,sK6),sK1(sK3,sK7))
| ~ greater(sK2(sK3,sK6),sK2(sK3,sK7))
| ~ organization(sK3,sK7)
| ~ organization(sK3,sK6)
| ~ reliability(sK3,sK1(sK3,sK7),sK7)
| ~ reliability(sK3,sK1(sK3,sK6),sK6)
| ~ accountability(sK3,sK2(sK3,sK7),sK7)
| ~ accountability(sK3,sK2(sK3,sK6),sK6)
| greater(sK4,sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(10,plain,
~ greater(sK8,sK6),
inference(cnf,[status(esa)],[t4_FOL_negated]) ).
cnf(l31,plain,
~ greater(sK8,sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(9,plain,
survival_chance(sK3,sK5,sK7),
inference(cnf,[status(esa)],[t4_FOL_negated]) ).
cnf(l126,plain,
survival_chance(sK3,sK5,sK7),
inference(instantiation,[status(thm)],[9]) ).
cnf(l80,plain,
( ~ organization(sK3,sK7)
| accountability(sK3,sK2(sK3,sK7),sK7) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l86,plain,
( ~ organization(sK3,sK7)
| reliability(sK3,sK1(sK3,sK7),sK7) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l128,plain,
organization(sK3,sK7),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
survival_chance(sK3,sK4,sK6),
inference(cnf,[status(esa)],[t4_FOL_negated]) ).
cnf(l114,plain,
survival_chance(sK3,sK4,sK6),
inference(instantiation,[status(thm)],[8]) ).
cnf(l132,plain,
organization(sK3,sK7),
inference(instantiation,[status(thm)],[6]) ).
cnf(l130,plain,
organization(sK3,sK7),
inference(instantiation,[status(thm)],[6]) ).
cnf(l106,plain,
( ~ organization(sK3,sK6)
| accountability(sK3,sK2(sK3,sK6),sK6) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(13,plain,
~ greater(sK4,sK5),
inference(cnf,[status(esa)],[t4_FOL_negated]) ).
cnf(l118,plain,
~ greater(sK4,sK5),
inference(instantiation,[status(thm)],[13]) ).
cnf(l134,plain,
organization(sK3,sK7),
inference(instantiation,[status(thm)],[6]) ).
cnf(11,plain,
greater(sK7,sK6),
inference(cnf,[status(esa)],[t4_FOL_negated]) ).
cnf(l50,plain,
greater(sK7,sK6),
inference(instantiation,[status(thm)],[11]) ).
cnf(4,plain,
( ~ reorganization(X0,X1,X2)
| ~ greater(X3,X4)
| ~ organization(X0,X4)
| ~ organization(X0,X3)
| ~ reliability(X0,X5,X4)
| ~ reliability(X0,X6,X3)
| ~ accountability(X0,X7,X4)
| ~ accountability(X0,X8,X3)
| greater(X7,X8)
| greater(X3,X2)
| greater(X1,X4) ),
inference(cnf,[status(esa)],[a6_FOL]) ).
cnf(l146,plain,
( ~ reorganization(sK3,sK8,sK9)
| ~ greater(sK7,sK6)
| ~ organization(sK3,sK6)
| ~ organization(sK3,sK7)
| ~ reliability(sK3,sK1(sK3,sK6),sK6)
| ~ reliability(sK3,sK1(sK3,sK7),sK7)
| ~ accountability(sK3,sK2(sK3,sK6),sK6)
| ~ accountability(sK3,sK2(sK3,sK7),sK7)
| greater(sK2(sK3,sK6),sK2(sK3,sK7))
| greater(sK7,sK9)
| greater(sK8,sK6) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l156,plain,
( ~ organization(sK3,sK7)
| accountability(sK3,sK2(sK3,sK7),sK7) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l163,plain,
~ greater(sK7,sK9),
inference(instantiation,[status(thm)],[12]) ).
cnf(l159,plain,
reorganization(sK3,sK8,sK9),
inference(instantiation,[status(thm)],[7]) ).
cnf(l168,plain,
organization(sK3,sK7),
inference(instantiation,[status(thm)],[6]) ).
cnf(l169,plain,
organization(sK3,sK7),
inference(instantiation,[status(thm)],[6]) ).
cnf(l147,plain,
( ~ organization(sK3,sK6)
| accountability(sK3,sK2(sK3,sK6),sK6) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l151,plain,
~ greater(sK8,sK6),
inference(instantiation,[status(thm)],[10]) ).
cnf(l148,plain,
( ~ organization(sK3,sK7)
| reliability(sK3,sK1(sK3,sK7),sK7) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l182,plain,
organization(sK3,sK7),
inference(instantiation,[status(thm)],[6]) ).
cnf(l157,plain,
greater(sK7,sK6),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l30,l36,l107,l108,l49,l109,l23,l53,l31,l126,l80,l86,l128,l114,l132,l130,l106,l118,l134,l50,l146,l156,l163,l159,l168,l169,l147,l151,l148,l182,l157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT004+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 7 11:36:23 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % launching worker at depth: 1
% 0.11/0.37 % launching worker at depth: 4
% 0.11/0.37 % launching worker at depth: 2
% 0.11/0.37 % launching worker at depth: 3
% 0.11/0.37 % launching worker at depth: 5
% 0.11/0.37 % launching worker at depth: 6
% 0.11/0.37 % launching worker at depth: 8
% 0.11/0.37 % launching worker at depth: 7
% 0.11/0.37 % launching worker at depth: 9
% 0.11/0.37 % launching worker at depth: 10
% 0.11/0.40 % SZS status Theorem for theBenchmark
% 0.11/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------