%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT009-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 : Thu Sep 24 01:25:14 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 55 ( 27 unt; 0 def)
% Number of atoms : 199 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 290 ( 146 ~; 144 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( inertia(A,sk1(B,A),B)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
! [A,B,C,D,E,F,G,H] :
( greater(F,E)
| ~ greater(H,G)
| ~ inertia(C,H,D)
| ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [A,B,C,D,E,F,G,H,I] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
organization(sk2,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
organization(sk3,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
reorganization_free(sk2,sk9,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
reorganization_free(sk3,sk10,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
class(sk2,sk4,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
class(sk3,sk4,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
reproducibility(sk2,sk5,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
reproducibility(sk3,sk6,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
size(sk2,sk7,sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
size(sk3,sk8,sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
greater(sk8,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ greater(sk6,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] :
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
! [E,F] :
( greater(F,E)
| ! [G,H] :
( ~ greater(H,G)
| ! [C,D] :
( ~ inertia(C,H,D)
| ! [A,B] :
( ~ inertia(A,G,B)
| ~ reproducibility(C,F,D)
| ~ reproducibility(A,E,B)
| ~ reorganization_free(C,D,D)
| ~ reorganization_free(A,B,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( greater(X5,X4)
| ~ greater(X7,X6)
| ~ inertia(X2,X7,X3)
| ~ inertia(X0,X6,X1)
| ~ reproducibility(X2,X5,X3)
| ~ reproducibility(X0,X4,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [H,I] :
( greater(I,H)
| ! [F,G] :
( ~ greater(G,F)
| ! [C,D] :
( ~ inertia(C,I,D)
| ! [A,B] :
( ~ inertia(A,H,B)
| ~ size(C,G,D)
| ~ size(A,F,B)
| ! [E] :
( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X8,X7)
| ~ greater(X6,X5)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ size(X2,X6,X3)
| ~ size(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
organization(sk2,sk9),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f25,plain,
organization(sk3,sk10),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f26,plain,
reorganization_free(sk2,sk9,sk9),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f27,plain,
reorganization_free(sk3,sk10,sk10),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f28,plain,
class(sk2,sk4,sk9),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f29,plain,
class(sk3,sk4,sk10),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f30,plain,
reproducibility(sk2,sk5,sk9),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f31,plain,
reproducibility(sk3,sk6,sk10),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f32,plain,
size(sk2,sk7,sk9),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f33,plain,
size(sk3,sk8,sk10),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f34,plain,
greater(sk8,sk7),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f35,plain,
~ greater(sk6,sk5),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(sk3,X5,sk10)
| ~ inertia(X0,X4,X1)
| ~ size(sk3,X3,sk10)
| ~ size(X0,X2,X1)
| ~ class(X0,sk4,X1)
| ~ organization(sk3,sk10)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f29,f23]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(sk3,X5,sk10)
| ~ inertia(X0,X4,X1)
| ~ size(sk3,X3,sk10)
| ~ size(X0,X2,X1)
| ~ class(X0,sk4,X1)
| ~ organization(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f25]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4] :
( greater(sk6,X2)
| ~ greater(X4,X3)
| ~ inertia(sk3,X4,sk10)
| ~ inertia(X0,X3,X1)
| ~ reproducibility(X0,X2,X1)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(sk3,sk10)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f31,f21]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4] :
( greater(sk6,X2)
| ~ greater(X4,X3)
| ~ inertia(sk3,X4,sk10)
| ~ inertia(X0,X3,X1)
| ~ reproducibility(X0,X2,X1)
| ~ reorganization_free(sk3,sk10,sk10)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f44,f25]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4] :
( greater(X4,X3)
| ~ greater(sk8,X2)
| ~ inertia(sk3,X4,sk10)
| ~ inertia(X0,X3,X1)
| ~ size(X0,X2,X1)
| ~ class(X0,sk4,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f39,f33]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4] :
( greater(sk6,X2)
| ~ greater(X4,X3)
| ~ inertia(sk3,X4,sk10)
| ~ inertia(X0,X3,X1)
| ~ reproducibility(X0,X2,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f46,f27]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ~ organization(sk3,sk10)
| greater(sk6,X2)
| ~ greater(sk1(sk10,sk3),X3)
| ~ inertia(X0,X3,X1)
| ~ reproducibility(X0,X2,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f71,f17]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( greater(sk6,X2)
| ~ greater(sk1(sk10,sk3),X3)
| ~ inertia(X0,X3,X1)
| ~ reproducibility(X0,X2,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f73,f25]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( greater(X3,X2)
| ~ inertia(sk3,X3,sk10)
| ~ inertia(X0,X2,X1)
| ~ size(X0,sk7,X1)
| ~ class(X0,sk4,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f67,f34]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ organization(sk3,sk10)
| greater(sk1(sk10,sk3),X2)
| ~ inertia(X0,X2,X1)
| ~ size(X0,sk7,X1)
| ~ class(X0,sk4,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f78,f17]) ).
fof(f83,plain,
! [X0,X1,X2] :
( greater(sk1(sk10,sk3),X2)
| ~ inertia(X0,X2,X1)
| ~ size(X0,sk7,X1)
| ~ class(X0,sk4,X1)
| ~ organization(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f25]) ).
fof(f88,plain,
! [X0] :
( greater(sk1(sk10,sk3),X0)
| ~ inertia(sk2,X0,sk9)
| ~ class(sk2,sk4,sk9)
| ~ organization(sk2,sk9) ),
inference(resolution,[status(thm)],[f83,f32]) ).
fof(f89,plain,
! [X0] :
( greater(sk1(sk10,sk3),X0)
| ~ inertia(sk2,X0,sk9)
| ~ class(sk2,sk4,sk9) ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f24]) ).
fof(f90,plain,
! [X0] :
( greater(sk1(sk10,sk3),X0)
| ~ inertia(sk2,X0,sk9) ),
inference(resolution,[status(thm)],[f89,f28]) ).
fof(f97,plain,
( ~ organization(sk2,sk9)
| greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
inference(resolution,[status(thm)],[f90,f17]) ).
fof(f98,plain,
greater(sk1(sk10,sk3),sk1(sk9,sk2)),
inference(forward_subsumption_resolution,[status(thm)],[f97,f24]) ).
fof(f99,plain,
! [X0,X1,X2] :
( greater(sk6,X2)
| ~ inertia(X0,sk1(sk9,sk2),X1)
| ~ reproducibility(X0,X2,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f98,f74]) ).
fof(f100,plain,
! [X0] :
( ~ organization(sk2,sk9)
| greater(sk6,X0)
| ~ reproducibility(sk2,X0,sk9)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ organization(sk2,sk9) ),
inference(resolution,[status(thm)],[f99,f17]) ).
fof(f101,plain,
! [X0] :
( greater(sk6,X0)
| ~ reproducibility(sk2,X0,sk9)
| ~ reorganization_free(sk2,sk9,sk9)
| ~ organization(sk2,sk9) ),
inference(duplicate_literals_removal,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0] :
( greater(sk6,X0)
| ~ reproducibility(sk2,X0,sk9)
| ~ reorganization_free(sk2,sk9,sk9) ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f24]) ).
fof(f104,plain,
! [X0] :
( greater(sk6,X0)
| ~ reproducibility(sk2,X0,sk9) ),
inference(resolution,[status(thm)],[f102,f26]) ).
fof(f105,plain,
greater(sk6,sk5),
inference(resolution,[status(thm)],[f104,f30]) ).
fof(f106,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f105,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT009-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 01:21:12 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.038478 seconds
% 0.14/0.40 % CPU time: 0.086477 seconds
% 0.14/0.40 % Total memory used: 12.975 MB
% 0.14/0.40 % Net memory used: 12.844 MB
%------------------------------------------------------------------------------