%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT007+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 02:11:15 PM UTC 2026
% Result : Theorem 0.11s 5.79s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 65 ( 15 unt; 0 def)
% Number of atoms : 349 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 471 ( 187 ~; 223 |; 54 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 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 : 201 ( 22 sgn 83 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,conjecture,
! [X,Rp1,Rp2,T1,T2,Ta,Tb] :
( ( ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& reproducibility(X,Rp2,T2)
& reproducibility(X,Rp1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) )
=> greater(Rp1,Rp2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_FOL) ).
fof(f5_neg,negated_conjecture,
~ ! [X,Rp1,Rp2,T1,T2,Ta,Tb] :
( ( ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& reproducibility(X,Rp2,T2)
& reproducibility(X,Rp1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) )
=> greater(Rp1,Rp2) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f5_nnf,plain,
? [X,Rp1,Rp2,T1,T2,Ta,Tb] :
( ~ greater(Rp1,Rp2)
& ~ greater(T2,Tb)
& greater(T2,T1)
& ~ greater(Ta,T1)
& reproducibility(X,Rp2,T2)
& reproducibility(X,Rp1,T1)
& reorganization(X,Ta,Tb)
& organization(X,T2)
& organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f5_neg]) ).
fof(f5_sk,plain,
( ~ greater(sk4,sk5)
& ~ greater(sk7,sk9)
& greater(sk7,sk6)
& ~ greater(sk8,sk6)
& reproducibility(sk3,sk5,sk7)
& reproducibility(sk3,sk4,sk6)
& reorganization(sk3,sk8,sk9)
& organization(sk3,sk7)
& organization(sk3,sk6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3,sk4,sk5,sk6,sk7,sk8,sk9])],[f5_nnf]) ).
cnf(c9,plain,
organization(sk3,sk7),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f3,hypothesis,
! [X,Y,T1,T2,R1,R2,A1,A2,Rp1,Rp2] :
( ( reproducibility(Y,Rp2,T2)
& reproducibility(X,Rp1,T1)
& accountability(Y,A2,T2)
& accountability(X,A1,T1)
& reliability(Y,R2,T2)
& reliability(X,R1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> ( greater(Rp2,Rp1)
<=> ( greater(A2,A1)
& greater(R2,R1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL) ).
fof(f3_nnf,plain,
! [X,Y,T1,T2,R1,R2,A1,A2,Rp1,Rp2] :
( ( ( ~ greater(A2,A1)
| ~ greater(R2,R1)
| greater(Rp2,Rp1) )
& ( ( greater(A2,A1)
& greater(R2,R1) )
| ~ greater(Rp2,Rp1) ) )
| ~ reproducibility(Y,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ accountability(Y,A2,T2)
| ~ accountability(X,A1,T1)
| ~ reliability(Y,R2,T2)
| ~ reliability(X,R1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,T1,Y,T2,R1,R2,A1,A2,Rp1,Rp2] :
( ( ( ~ greater(A2,A1)
| ~ greater(R2,R1)
| greater(Rp2,Rp1) )
& ( ( greater(A2,A1)
& greater(R2,R1) )
| ~ greater(Rp2,Rp1) ) )
| ~ reproducibility(Y,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ accountability(Y,A2,T2)
| ~ accountability(X,A1,T1)
| ~ reliability(Y,R2,T2)
| ~ reliability(X,R1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c5,plain,
( ~ greater(X7,X6)
| ~ greater(X5,X4)
| greater(X9,X8)
| ~ reproducibility(X1,X9,X3)
| ~ reproducibility(X0,X8,X2)
| ~ accountability(X1,X7,X3)
| ~ accountability(X0,X6,X2)
| ~ reliability(X1,X5,X3)
| ~ reliability(X0,X4,X2)
| ~ organization(X1,X3)
| ~ organization(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p53,plain,
( ~ greater(X5,X4)
| ~ greater(X3,X2)
| greater(X7,X6)
| ~ reproducibility(X0,X7,X1)
| ~ reproducibility(sk3,X6,sk7)
| ~ accountability(X0,X5,X1)
| ~ accountability(sk3,X4,sk7)
| ~ reliability(X0,X3,X1)
| ~ reliability(sk3,X2,sk7)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[c9,c5]) ).
cnf(c8,plain,
organization(sk3,sk6),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p106,plain,
( ~ greater(X3,X2)
| ~ greater(X1,X0)
| greater(X5,X4)
| ~ reproducibility(sk3,X5,sk6)
| ~ reproducibility(sk3,X4,sk7)
| ~ accountability(sk3,X3,sk6)
| ~ accountability(sk3,X2,sk7)
| ~ reliability(sk3,X1,sk6)
| ~ reliability(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[p53,c8]) ).
fof(f0,axiom,
! [X,T] :
( organization(X,T)
=> ? [R] : reliability(X,R,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1) ).
fof(f0_nnf,plain,
! [X,T] :
( ? [R] : reliability(X,R,T)
| ~ organization(X,T) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,T] :
( reliability(X,sk0(X,T),T)
| ~ organization(X,T) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c0,plain,
( reliability(X0,sk0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p48,plain,
reliability(sk3,sk0(sk3,sk7),sk7),
inference(resolution,[status(thm)],[c9,c0]) ).
cnf(p171,plain,
( ~ greater(X2,X1)
| ~ greater(X0,sk0(sk3,sk7))
| greater(X4,X3)
| ~ reproducibility(sk3,X4,sk6)
| ~ reproducibility(sk3,X3,sk7)
| ~ accountability(sk3,X2,sk6)
| ~ accountability(sk3,X1,sk7)
| ~ reliability(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[p106,p48]) ).
cnf(p40,plain,
reliability(sk3,sk0(sk3,sk6),sk6),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(p245,plain,
( ~ greater(X1,X0)
| ~ greater(sk0(sk3,sk6),sk0(sk3,sk7))
| greater(X3,X2)
| ~ reproducibility(sk3,X3,sk6)
| ~ reproducibility(sk3,X2,sk7)
| ~ accountability(sk3,X1,sk6)
| ~ accountability(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[p171,p40]) ).
fof(f1,axiom,
! [X,T] :
( organization(X,T)
=> ? [A] : accountability(X,A,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2) ).
fof(f1_nnf,plain,
! [X,T] :
( ? [A] : accountability(X,A,T)
| ~ organization(X,T) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,T] :
( accountability(X,sk1(X,T),T)
| ~ organization(X,T) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f1_nnf]) ).
cnf(c1,plain,
( accountability(X0,sk1(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p49,plain,
accountability(sk3,sk1(sk3,sk7),sk7),
inference(resolution,[status(thm)],[c9,c1]) ).
cnf(p312,plain,
( ~ greater(X0,sk1(sk3,sk7))
| ~ greater(sk0(sk3,sk6),sk0(sk3,sk7))
| greater(X2,X1)
| ~ reproducibility(sk3,X2,sk6)
| ~ reproducibility(sk3,X1,sk7)
| ~ accountability(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[p245,p49]) ).
cnf(p41,plain,
accountability(sk3,sk1(sk3,sk6),sk6),
inference(resolution,[status(thm)],[c8,c1]) ).
cnf(p358,plain,
( ~ greater(sk1(sk3,sk6),sk1(sk3,sk7))
| ~ greater(sk0(sk3,sk6),sk0(sk3,sk7))
| greater(X1,X0)
| ~ reproducibility(sk3,X1,sk6)
| ~ reproducibility(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[p312,p41]) ).
cnf(c12,plain,
reproducibility(sk3,sk5,sk7),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p397,plain,
( ~ greater(sk1(sk3,sk6),sk1(sk3,sk7))
| ~ greater(sk0(sk3,sk6),sk0(sk3,sk7))
| greater(X0,sk5)
| ~ reproducibility(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[p358,c12]) ).
cnf(c11,plain,
reproducibility(sk3,sk4,sk6),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p445,plain,
( ~ greater(sk1(sk3,sk6),sk1(sk3,sk7))
| ~ greater(sk0(sk3,sk6),sk0(sk3,sk7))
| greater(sk4,sk5) ),
inference(resolution,[status(thm)],[p397,c11]) ).
fof(f4,hypothesis,
! [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('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_FOL) ).
fof(f4_nnf,plain,
! [X,R1,R2,A1,A2,T1,T2,Ta,Tb] :
( ( greater(A1,A2)
& greater(R1,R2) )
| 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) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,T1,T2,Ta,Tb,R1,R2,A1,A2] :
( ( greater(A1,A2)
& greater(R1,R2) )
| 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) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c6,plain,
( greater(X1,X2)
| greater(X6,X8)
| ~ greater(X6,X5)
| greater(X7,X5)
| ~ accountability(X0,X4,X6)
| ~ accountability(X0,X3,X5)
| ~ reliability(X0,X2,X6)
| ~ reliability(X0,X1,X5)
| ~ reorganization(X0,X7,X8)
| ~ organization(X0,X6)
| ~ organization(X0,X5) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p46,plain,
( greater(X3,X4)
| greater(X0,X2)
| ~ greater(X0,sk6)
| greater(X1,sk6)
| ~ accountability(sk3,X6,X0)
| ~ accountability(sk3,X5,sk6)
| ~ reliability(sk3,X4,X0)
| ~ reliability(sk3,X3,sk6)
| ~ reorganization(sk3,X1,X2)
| ~ organization(sk3,X0) ),
inference(resolution,[status(thm)],[c8,c6]) ).
cnf(p99,plain,
( greater(X2,X3)
| greater(sk7,X1)
| ~ greater(sk7,sk6)
| greater(X0,sk6)
| ~ accountability(sk3,X5,sk7)
| ~ accountability(sk3,X4,sk6)
| ~ reliability(sk3,X3,sk7)
| ~ reliability(sk3,X2,sk6)
| ~ reorganization(sk3,X0,X1) ),
inference(resolution,[status(thm)],[p46,c9]) ).
cnf(c10,plain,
reorganization(sk3,sk8,sk9),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p167,plain,
( greater(X0,X1)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,X3,sk7)
| ~ accountability(sk3,X2,sk6)
| ~ reliability(sk3,X1,sk7)
| ~ reliability(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[p99,c10]) ).
cnf(p241,plain,
( greater(sk0(sk3,sk6),X0)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,X2,sk7)
| ~ accountability(sk3,X1,sk6)
| ~ reliability(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[p167,p40]) ).
cnf(p308,plain,
( greater(sk0(sk3,sk6),sk0(sk3,sk7))
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,X1,sk7)
| ~ accountability(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[p241,p48]) ).
cnf(p354,plain,
( greater(sk0(sk3,sk6),sk0(sk3,sk7))
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[p308,p41]) ).
cnf(p391,plain,
( greater(sk0(sk3,sk6),sk0(sk3,sk7))
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6) ),
inference(resolution,[status(thm)],[p354,p49]) ).
cnf(c14,plain,
greater(sk7,sk6),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p437,plain,
( greater(sk0(sk3,sk6),sk0(sk3,sk7))
| greater(sk7,sk9)
| greater(sk8,sk6) ),
inference(resolution,[status(thm)],[p391,c14]) ).
cnf(p449,plain,
( greater(sk7,sk9)
| greater(sk8,sk6)
| ~ greater(sk1(sk3,sk6),sk1(sk3,sk7))
| greater(sk4,sk5) ),
inference(resolution,[status(thm)],[p445,p437]) ).
cnf(c7,plain,
( greater(X3,X4)
| greater(X6,X8)
| ~ greater(X6,X5)
| greater(X7,X5)
| ~ accountability(X0,X4,X6)
| ~ accountability(X0,X3,X5)
| ~ reliability(X0,X2,X6)
| ~ reliability(X0,X1,X5)
| ~ reorganization(X0,X7,X8)
| ~ organization(X0,X6)
| ~ organization(X0,X5) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p47,plain,
( greater(X5,X6)
| greater(X0,X2)
| ~ greater(X0,sk6)
| greater(X1,sk6)
| ~ accountability(sk3,X6,X0)
| ~ accountability(sk3,X5,sk6)
| ~ reliability(sk3,X4,X0)
| ~ reliability(sk3,X3,sk6)
| ~ reorganization(sk3,X1,X2)
| ~ organization(sk3,X0) ),
inference(resolution,[status(thm)],[c8,c7]) ).
cnf(p101,plain,
( greater(X4,X5)
| greater(sk7,X1)
| ~ greater(sk7,sk6)
| greater(X0,sk6)
| ~ accountability(sk3,X5,sk7)
| ~ accountability(sk3,X4,sk6)
| ~ reliability(sk3,X3,sk7)
| ~ reliability(sk3,X2,sk6)
| ~ reorganization(sk3,X0,X1) ),
inference(resolution,[status(thm)],[p47,c9]) ).
cnf(p168,plain,
( greater(X2,X3)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,X3,sk7)
| ~ accountability(sk3,X2,sk6)
| ~ reliability(sk3,X1,sk7)
| ~ reliability(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[p101,c10]) ).
cnf(p242,plain,
( greater(X1,X2)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,X2,sk7)
| ~ accountability(sk3,X1,sk6)
| ~ reliability(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[p168,p40]) ).
cnf(p309,plain,
( greater(X0,X1)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,X1,sk7)
| ~ accountability(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[p242,p48]) ).
cnf(p355,plain,
( greater(sk1(sk3,sk6),X0)
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6)
| ~ accountability(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[p309,p41]) ).
cnf(p392,plain,
( greater(sk1(sk3,sk6),sk1(sk3,sk7))
| greater(sk7,sk9)
| ~ greater(sk7,sk6)
| greater(sk8,sk6) ),
inference(resolution,[status(thm)],[p355,p49]) ).
cnf(p438,plain,
( greater(sk1(sk3,sk6),sk1(sk3,sk7))
| greater(sk7,sk9)
| greater(sk8,sk6) ),
inference(resolution,[status(thm)],[p392,c14]) ).
cnf(p453,plain,
( greater(sk7,sk9)
| greater(sk8,sk6)
| greater(sk7,sk9)
| greater(sk8,sk6)
| greater(sk4,sk5) ),
inference(resolution,[status(thm)],[p449,p438]) ).
cnf(p457,plain,
( greater(sk7,sk9)
| greater(sk7,sk9)
| greater(sk8,sk6)
| greater(sk4,sk5) ),
inference(factoring,[status(thm)],[p453]) ).
cnf(p465,plain,
( greater(sk7,sk9)
| greater(sk8,sk6)
| greater(sk4,sk5) ),
inference(factoring,[status(thm)],[p457]) ).
cnf(c13,plain,
~ greater(sk8,sk6),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p469,plain,
( greater(sk7,sk9)
| greater(sk4,sk5) ),
inference(resolution,[status(thm)],[p465,c13]) ).
cnf(c15,plain,
~ greater(sk7,sk9),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p470,plain,
greater(sk4,sk5),
inference(resolution,[status(thm)],[p469,c15]) ).
cnf(c16,plain,
~ greater(sk4,sk5),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p471,plain,
$false,
inference(resolution,[status(thm)],[p470,c16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT007+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.35 % Computer : n014.cluster.edu
% 0.08/5.35 % Model : x86_64 x86_64
% 0.08/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35 % Memory : 8046.5625MB
% 0.08/5.35 % OS : Linux 6.8.0-71-generic
% 0.08/5.35 % CPULimit : 300
% 0.08/5.35 % WCLimit : 300
% 0.08/5.35 % DateTime : Thu Sep 24 00:57:08 UTC 2026
% 0.08/5.35 % CPUTime :
% 0.08/5.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/5.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.79 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------