%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT012-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 23 unt; 0 def)
% Number of atoms : 190 ( 8 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 271 ( 137 ~; 134 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 118 ( 118 !; 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,axiom,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( class(A,sk2(B,A),B)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D,E] :
( D = E
| ~ class(A,E,C)
| ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [A,B,C,D,E,F,G,H,I] :
( greater(I,H)
| ~ greater(G,F)
| ~ inertia(C,I,D)
| ~ inertia(A,H,B)
| ~ complexity(C,G,D)
| ~ complexity(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(f7,hypothesis,
! [A,B,C,D,E] :
( greater(E,D)
| ~ greater(C,B)
| ~ inertia(A,E,C)
| ~ inertia(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
organization(sk3,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
organization(sk3,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
reorganization_free(sk3,sk6,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
complexity(sk3,sk4,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
complexity(sk3,sk5,sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
greater(sk7,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
greater(sk4,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] :
( inertia(X0,sk1(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0,X1] :
( class(X0,sk2(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [D,E] :
( D = E
| ! [A,C] :
( ~ class(A,E,C)
| ! [B] :
( ~ class(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ~ class(X0,X4,X2)
| ~ class(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [H,I] :
( greater(I,H)
| ! [F,G] :
( ~ greater(G,F)
| ! [C,D] :
( ~ inertia(C,I,D)
| ! [A,B] :
( ~ inertia(A,H,B)
| ~ complexity(C,G,D)
| ~ complexity(A,F,B)
| ! [E] :
( ~ class(C,E,D)
| ~ class(A,E,B)
| ~ organization(C,D)
| ~ organization(A,B) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X8,X7)
| ~ greater(X6,X5)
| ~ inertia(X2,X8,X3)
| ~ inertia(X0,X7,X1)
| ~ complexity(X2,X6,X3)
| ~ complexity(X0,X5,X1)
| ~ class(X2,X4,X3)
| ~ class(X0,X4,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [D,E] :
( greater(E,D)
| ! [B,C] :
( ~ greater(C,B)
| ! [A] :
( ~ inertia(A,E,C)
| ~ inertia(A,D,B)
| ~ reorganization_free(A,B,C)
| ~ organization(A,C)
| ~ organization(A,B) ) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4] :
( greater(X4,X3)
| ~ greater(X2,X1)
| ~ inertia(X0,X4,X2)
| ~ inertia(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
organization(sk3,sk6),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
organization(sk3,sk7),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
reorganization_free(sk3,sk6,sk7),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
complexity(sk3,sk4,sk6),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f29,plain,
complexity(sk3,sk5,sk7),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f30,plain,
greater(sk7,sk6),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f31,plain,
greater(sk4,sk5),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f35,plain,
! [X0,X1] :
( X0 = X1
| ~ class(sk3,X1,sk7)
| ~ class(sk3,X0,sk6)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) ),
inference(resolution,[status(thm)],[f20,f27]) ).
fof(f36,plain,
! [X0,X1] :
( X0 = X1
| ~ class(sk3,X1,sk7)
| ~ class(sk3,X0,sk6)
| ~ organization(sk3,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[f35,f25]) ).
fof(f37,plain,
! [X0,X1] :
( X0 = X1
| ~ class(sk3,X1,sk7)
| ~ class(sk3,X0,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f26]) ).
fof(f38,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6)
| ~ organization(sk3,sk7)
| ~ organization(sk3,sk6) ),
inference(resolution,[status(thm)],[f24,f27]) ).
fof(f39,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6)
| ~ organization(sk3,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f25]) ).
fof(f40,plain,
inertia(sk3,sk1(sk7,sk3),sk7),
inference(resolution,[status(thm)],[f15,f26]) ).
fof(f41,plain,
inertia(sk3,sk1(sk6,sk3),sk6),
inference(resolution,[status(thm)],[f15,f25]) ).
fof(f42,plain,
class(sk3,sk2(sk7,sk3),sk7),
inference(resolution,[status(thm)],[f18,f26]) ).
fof(f43,plain,
class(sk3,sk2(sk6,sk3),sk6),
inference(resolution,[status(thm)],[f18,f25]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sk3,X4,sk7)
| ~ complexity(X0,X3,X1)
| ~ complexity(sk3,X2,sk7)
| ~ class(X0,sk2(sk7,sk3),X1)
| ~ organization(X0,X1)
| ~ organization(sk3,sk7) ),
inference(resolution,[status(thm)],[f42,f22]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sk3,X4,sk7)
| ~ complexity(X0,X3,X1)
| ~ complexity(sk3,X2,sk7)
| ~ class(X0,sk2(sk7,sk3),X1)
| ~ organization(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f44,f26]) ).
fof(f46,plain,
! [X0] :
( sk2(sk6,sk3) = X0
| ~ class(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[f43,f37]) ).
fof(f49,plain,
sk2(sk6,sk3) = sk2(sk7,sk3),
inference(resolution,[status(thm)],[f46,f42]) ).
fof(f54,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ greater(sk7,sk6)
| ~ inertia(sk3,X1,sk7)
| ~ inertia(sk3,X0,sk6) ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f26]) ).
fof(f55,plain,
! [X0] :
( greater(X0,sk1(sk6,sk3))
| ~ greater(sk7,sk6)
| ~ inertia(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[f54,f41]) ).
fof(f56,plain,
! [X0] :
( greater(X0,sk1(sk6,sk3))
| ~ inertia(sk3,X0,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f30]) ).
fof(f57,plain,
greater(sk1(sk7,sk3),sk1(sk6,sk3)),
inference(resolution,[status(thm)],[f56,f40]) ).
fof(f58,plain,
~ greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(resolution,[status(thm)],[f57,f17]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sk3,X4,sk7)
| ~ complexity(X0,X3,X1)
| ~ complexity(sk3,X2,sk7)
| ~ class(X0,sk2(sk6,sk3),X1)
| ~ organization(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f49,f45]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( greater(X3,X2)
| ~ greater(X1,X0)
| ~ inertia(sk3,X3,sk6)
| ~ inertia(sk3,X2,sk7)
| ~ complexity(sk3,X1,sk6)
| ~ complexity(sk3,X0,sk7)
| ~ organization(sk3,sk6) ),
inference(resolution,[status(thm)],[f59,f43]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( greater(X3,X2)
| ~ greater(X1,X0)
| ~ inertia(sk3,X3,sk6)
| ~ inertia(sk3,X2,sk7)
| ~ complexity(sk3,X1,sk6)
| ~ complexity(sk3,X0,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f25]) ).
fof(f70,plain,
! [X0,X1,X2] :
( greater(X2,X1)
| ~ greater(X0,sk5)
| ~ inertia(sk3,X2,sk6)
| ~ inertia(sk3,X1,sk7)
| ~ complexity(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[f63,f29]) ).
fof(f72,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ greater(sk4,sk5)
| ~ inertia(sk3,X1,sk6)
| ~ inertia(sk3,X0,sk7) ),
inference(resolution,[status(thm)],[f70,f28]) ).
fof(f73,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ inertia(sk3,X1,sk6)
| ~ inertia(sk3,X0,sk7) ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f31]) ).
fof(f74,plain,
! [X0] :
( greater(X0,sk1(sk7,sk3))
| ~ inertia(sk3,X0,sk6) ),
inference(resolution,[status(thm)],[f73,f40]) ).
fof(f75,plain,
greater(sk1(sk6,sk3),sk1(sk7,sk3)),
inference(resolution,[status(thm)],[f74,f41]) ).
fof(f76,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f75,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT012-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 01:23:13 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.051984 seconds
% 0.09/0.43 % CPU time: 0.161405 seconds
% 0.09/0.43 % Total memory used: 44.488 MB
% 0.09/0.43 % Net memory used: 44.029 MB
%------------------------------------------------------------------------------