%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT002+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 01:25:11 PM UTC 2026
% Result : Theorem 0.22s 0.52s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 9 unt; 0 def)
% Number of atoms : 278 ( 0 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 419 ( 189 ~; 178 |; 44 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 182 ( 170 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,T] :
( organization(X,T)
=> ? [Rp] : reproducibility(X,Rp,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,T1,T2] :
( reorganization_free(X,T1,T2)
=> ( reorganization_free(X,T2,T2)
& reorganization_free(X,T1,T1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
( ( inertia(Y,I2,T2)
& inertia(X,I1,T1)
& reproducibility(Y,Rp2,T2)
& reproducibility(X,Rp1,T1)
& reorganization_free(Y,T2,T2)
& reorganization_free(X,T1,T1)
& organization(Y,T2)
& organization(X,T1) )
=> ( greater(Rp2,Rp1)
<=> greater(I2,I1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X,Rp1,Rp2,T1,T2] :
( ( greater(T2,T1)
& reproducibility(X,Rp2,T2)
& reproducibility(X,Rp1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> greater(Rp2,Rp1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,conjecture,
! [X,I1,I2,T1,T2] :
( ( greater(T2,T1)
& inertia(X,I2,T2)
& inertia(X,I1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> greater(I2,I1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ ! [X,I1,I2,T1,T2] :
( ( greater(T2,T1)
& inertia(X,I2,T2)
& inertia(X,I1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> greater(I2,I1) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
! [X,T] :
( ? [Rp] : reproducibility(X,Rp,T)
| ~ organization(X,T) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X,T] :
( reproducibility(X,sK0_skl(T,X),T)
| ~ organization(X,T) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Rp,sK0_skl(T,X))],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( reproducibility(X0,sK0_skl(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [X,T1,T2] :
( ( reorganization_free(X,T2,T2)
& reorganization_free(X,T1,T1) )
| ~ reorganization_free(X,T1,T2) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0,X1,X2] :
( reorganization_free(X0,X1,X1)
| ~ reorganization_free(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( reorganization_free(X0,X2,X2)
| ~ reorganization_free(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,plain,
! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
( ( greater(Rp2,Rp1)
<=> greater(I2,I1) )
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ reproducibility(Y,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reorganization_free(X,T1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
( ( ( ~ greater(I2,I1)
| greater(Rp2,Rp1) )
& ( greater(I2,I1)
| ~ greater(Rp2,Rp1) ) )
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ reproducibility(Y,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reorganization_free(X,T1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
! [Rp1,Rp2,I1,I2] :
( ( ( ~ greater(I2,I1)
| greater(Rp2,Rp1) )
& ( greater(I2,I1)
| ~ greater(Rp2,Rp1) ) )
| ! [Y,T2] :
( ~ inertia(Y,I2,T2)
| ! [X,T1] :
( ~ inertia(X,I1,T1)
| ~ reproducibility(Y,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reorganization_free(Y,T2,T2)
| ~ reorganization_free(X,T1,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( greater(X7,X6)
| ~ greater(X5,X4)
| ~ 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)],[f15]) ).
fof(f18,plain,
! [X,Rp1,Rp2,T1,T2] :
( greater(Rp2,Rp1)
| ~ greater(T2,T1)
| ~ reproducibility(X,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [Rp1,Rp2] :
( greater(Rp2,Rp1)
| ! [T1,T2] :
( ~ greater(T2,T1)
| ! [X] :
( ~ reproducibility(X,Rp2,T2)
| ~ reproducibility(X,Rp1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] :
( greater(X4,X3)
| ~ greater(X2,X1)
| ~ reproducibility(X0,X4,X2)
| ~ reproducibility(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
? [X,I1,I2,T1,T2] :
( ~ greater(I2,I1)
& greater(T2,T1)
& inertia(X,I2,T2)
& inertia(X,I1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
? [I1,I2] :
( ~ greater(I2,I1)
& ? [T1,T2] :
( greater(T2,T1)
& ? [X] :
( inertia(X,I2,T2)
& inertia(X,I1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f23,plain,
( ~ greater(sK2_skl,sK1_skl)
& greater(sK4_skl,sK3_skl)
& inertia(sK5_skl,sK2_skl,sK4_skl)
& inertia(sK5_skl,sK1_skl,sK3_skl)
& reorganization_free(sK5_skl,sK3_skl,sK4_skl)
& organization(sK5_skl,sK4_skl)
& organization(sK5_skl,sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(I1,sK1_skl),skolemize(I2,sK2_skl),skolemize(T1,sK3_skl),skolemize(T2,sK4_skl),skolemize(X,sK5_skl)],[f22]) ).
fof(f24,plain,
organization(sK5_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
organization(sK5_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f26,plain,
reorganization_free(sK5_skl,sK3_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f27,plain,
inertia(sK5_skl,sK1_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f28,plain,
inertia(sK5_skl,sK2_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f29,plain,
greater(sK4_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f30,plain,
~ greater(sK2_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f32,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( greater(X6,X5)
| ~ greater(sK0_skl(X1,X0),X4)
| ~ inertia(X0,X6,X1)
| ~ inertia(X2,X5,X3)
| ~ reproducibility(X2,X4,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ organization(X0,X1)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f9,f16]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( greater(X6,X5)
| ~ greater(sK0_skl(X1,X0),X4)
| ~ inertia(X0,X6,X1)
| ~ inertia(X2,X5,X3)
| ~ reproducibility(X2,X4,X3)
| ~ reorganization_free(X0,X1,X1)
| ~ reorganization_free(X2,X3,X3)
| ~ organization(X2,X3)
| ~ organization(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f32]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ~ organization(X0,X2)
| greater(sK0_skl(X2,X0),X3)
| ~ greater(X2,X1)
| ~ reproducibility(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f20,f9]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( greater(sK0_skl(X2,X0),X3)
| ~ greater(X2,X1)
| ~ reproducibility(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f39]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( greater(X7,X6)
| ~ inertia(X0,X7,X2)
| ~ inertia(X4,X6,X5)
| ~ reproducibility(X4,X3,X5)
| ~ reorganization_free(X0,X2,X2)
| ~ reorganization_free(X4,X5,X5)
| ~ organization(X4,X5)
| ~ organization(X0,X2)
| ~ greater(X2,X1)
| ~ reproducibility(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f40,f34]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( greater(X7,X6)
| ~ inertia(X0,X7,X2)
| ~ inertia(X4,X6,X5)
| ~ reproducibility(X4,X3,X5)
| ~ reorganization_free(X0,X2,X2)
| ~ reorganization_free(X4,X5,X5)
| ~ organization(X4,X5)
| ~ greater(X2,X1)
| ~ reproducibility(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f41]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( greater(X7,X6)
| ~ inertia(X0,X7,X2)
| ~ inertia(X4,X6,X5)
| ~ reproducibility(X4,X3,X5)
| ~ reorganization_free(X4,X5,X5)
| ~ organization(X4,X5)
| ~ greater(X2,X1)
| ~ reproducibility(X0,X3,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f12]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ organization(X4,X3)
| greater(X6,X5)
| ~ inertia(X0,X6,X2)
| ~ inertia(X4,X5,X3)
| ~ reorganization_free(X4,X3,X3)
| ~ organization(X4,X3)
| ~ greater(X2,X1)
| ~ reproducibility(X0,sK0_skl(X3,X4),X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f43,f9]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( greater(X6,X5)
| ~ inertia(X0,X6,X2)
| ~ inertia(X4,X5,X3)
| ~ reorganization_free(X4,X3,X3)
| ~ organization(X4,X3)
| ~ greater(X2,X1)
| ~ reproducibility(X0,sK0_skl(X3,X4),X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f44]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4] :
( ~ organization(X0,X1)
| greater(X4,X3)
| ~ inertia(X0,X4,X2)
| ~ inertia(X0,X3,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ organization(X0,X1)
| ~ greater(X2,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f45,f9]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4] :
( greater(X4,X3)
| ~ inertia(X0,X4,X2)
| ~ inertia(X0,X3,X1)
| ~ reorganization_free(X0,X1,X1)
| ~ greater(X2,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f46]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4] :
( greater(X4,X3)
| ~ inertia(X0,X4,X2)
| ~ inertia(X0,X3,X1)
| ~ greater(X2,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f47,f11]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ inertia(X0,sK2_skl,X2)
| ~ inertia(X0,sK1_skl,X1)
| ~ greater(X2,X1)
| ~ reorganization_free(X0,X1,X2)
| ~ organization(X0,X2)
| ~ organization(X0,X1) ),
inference(resolution,[status(thm)],[f48,f30]) ).
fof(f53,plain,
! [X0] :
( ~ inertia(sK5_skl,sK1_skl,X0)
| ~ greater(sK4_skl,X0)
| ~ reorganization_free(sK5_skl,X0,sK4_skl)
| ~ organization(sK5_skl,sK4_skl)
| ~ organization(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f52,f28]) ).
fof(f54,plain,
! [X0] :
( ~ inertia(sK5_skl,sK1_skl,X0)
| ~ greater(sK4_skl,X0)
| ~ reorganization_free(sK5_skl,X0,sK4_skl)
| ~ organization(sK5_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f53,f25]) ).
fof(f55,plain,
( ~ greater(sK4_skl,sK3_skl)
| ~ reorganization_free(sK5_skl,sK3_skl,sK4_skl)
| ~ organization(sK5_skl,sK3_skl) ),
inference(resolution,[status(thm)],[f54,f27]) ).
fof(f56,plain,
( ~ greater(sK4_skl,sK3_skl)
| ~ reorganization_free(sK5_skl,sK3_skl,sK4_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f24]) ).
fof(f58,plain,
~ greater(sK4_skl,sK3_skl),
inference(forward_subsumption_resolution,[status(thm)],[f56,f26]) ).
fof(f59,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f29,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT002+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 % Computer : n009.cluster.edu
% 0.19/0.48 % Model : x86_64 x86_64
% 0.19/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.48 % Memory : 8046.5625MB
% 0.19/0.48 % OS : Linux 6.8.0-71-generic
% 0.19/0.48 % CPULimit : 300
% 0.19/0.48 % WCLimit : 300
% 0.19/0.48 % DateTime : Mon Sep 21 01:20:12 UTC 2026
% 0.19/0.48 % CPUTime :
% 0.19/0.50 % Drodi V4.1.1
% 0.22/0.52 % Refutation found
% 0.22/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.60 % Elapsed time: 0.111552 seconds
% 0.22/0.60 % CPU time: 0.122049 seconds
% 0.22/0.60 % Total memory used: 9.047 MB
% 0.22/0.60 % Net memory used: 8.996 MB
%------------------------------------------------------------------------------