%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT012+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Thu Sep 24 01:25:14 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 62 ( 16 unt; 0 def)
% Number of atoms : 251 ( 9 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 332 ( 143 ~; 136 |; 46 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 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 : 171 ( 157 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,T] :
( organization(X,T)
=> ? [I] : inertia(X,I,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,T] :
( organization(X,T)
=> ? [C] : class(X,C,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,T1,T2,C1,C2] :
( ( class(X,C2,T2)
& class(X,C1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> C1 = C2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [X,Y,C,C1,C2,I1,I2,T1,T2] :
( ( greater(C2,C1)
& inertia(Y,I2,T2)
& inertia(X,I1,T1)
& complexity(Y,C2,T2)
& complexity(X,C1,T1)
& class(Y,C,T2)
& class(X,C,T1)
& organization(Y,T2)
& organization(X,T1) )
=> greater(I2,I1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [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/sandbox/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
! [X,C1,C2,T1,T2] :
( ( greater(T2,T1)
& complexity(X,C2,T2)
& complexity(X,C1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> ~ greater(C1,C2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [X,C1,C2,T1,T2] :
( ( greater(T2,T1)
& complexity(X,C2,T2)
& complexity(X,C1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) )
=> ~ greater(C1,C2) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X,T] :
( ? [I] : inertia(X,I,T)
| ~ organization(X,T) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X,T] :
( inertia(X,sK0_skl(T,X),T)
| ~ organization(X,T) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(I,sK0_skl(T,X))],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( inertia(X0,sK0_skl(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f15,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [X,T] :
( ? [C] : class(X,C,T)
| ~ organization(X,T) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
! [X,T] :
( class(X,sK1_skl(T,X),T)
| ~ organization(X,T) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(T,X))],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( class(X0,sK1_skl(X1,X0),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [X,T1,T2,C1,C2] :
( C1 = C2
| ~ class(X,C2,T2)
| ~ class(X,C1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f21,plain,
! [C1,C2] :
( C1 = C2
| ! [X,T2] :
( ~ class(X,C2,T2)
| ! [T1] :
( ~ class(X,C1,T1)
| ~ reorganization_free(X,T1,T2)
| ~ organization(X,T2)
| ~ organization(X,T1) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f22,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)],[f21]) ).
fof(f23,plain,
! [X,Y,C,C1,C2,I1,I2,T1,T2] :
( greater(I2,I1)
| ~ greater(C2,C1)
| ~ inertia(Y,I2,T2)
| ~ inertia(X,I1,T1)
| ~ complexity(Y,C2,T2)
| ~ complexity(X,C1,T1)
| ~ class(Y,C,T2)
| ~ class(X,C,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [I1,I2] :
( greater(I2,I1)
| ! [C1,C2] :
( ~ greater(C2,C1)
| ! [Y,T2] :
( ~ inertia(Y,I2,T2)
| ! [X,T1] :
( ~ inertia(X,I1,T1)
| ~ complexity(Y,C2,T2)
| ~ complexity(X,C1,T1)
| ! [C] :
( ~ class(Y,C,T2)
| ~ class(X,C,T1)
| ~ organization(Y,T2)
| ~ organization(X,T1) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f25,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)],[f24]) ).
fof(f26,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)],[f7]) ).
fof(f27,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)],[f26]) ).
fof(f28,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)],[f27]) ).
fof(f29,plain,
? [X,C1,C2,T1,T2] :
( greater(C1,C2)
& greater(T2,T1)
& complexity(X,C2,T2)
& complexity(X,C1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
? [C1,C2] :
( greater(C1,C2)
& ? [T1,T2] :
( greater(T2,T1)
& ? [X] :
( complexity(X,C2,T2)
& complexity(X,C1,T1)
& reorganization_free(X,T1,T2)
& organization(X,T2)
& organization(X,T1) ) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f31,plain,
( greater(sK2_skl,sK3_skl)
& greater(sK5_skl,sK4_skl)
& complexity(sK6_skl,sK3_skl,sK5_skl)
& complexity(sK6_skl,sK2_skl,sK4_skl)
& reorganization_free(sK6_skl,sK4_skl,sK5_skl)
& organization(sK6_skl,sK5_skl)
& organization(sK6_skl,sK4_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(C1,sK2_skl),skolemize(C2,sK3_skl),skolemize(T1,sK4_skl),skolemize(T2,sK5_skl),skolemize(X,sK6_skl)],[f30]) ).
fof(f32,plain,
organization(sK6_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
organization(sK6_skl,sK5_skl),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f34,plain,
reorganization_free(sK6_skl,sK4_skl,sK5_skl),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f35,plain,
complexity(sK6_skl,sK2_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f36,plain,
complexity(sK6_skl,sK3_skl,sK5_skl),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f37,plain,
greater(sK5_skl,sK4_skl),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f38,plain,
greater(sK2_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f42,plain,
! [X0,X1] :
( X0 = X1
| ~ class(sK6_skl,X1,sK5_skl)
| ~ class(sK6_skl,X0,sK4_skl)
| ~ organization(sK6_skl,sK5_skl)
| ~ organization(sK6_skl,sK4_skl) ),
inference(resolution,[status(thm)],[f22,f34]) ).
fof(f43,plain,
! [X0,X1] :
( X0 = X1
| ~ class(sK6_skl,X1,sK5_skl)
| ~ class(sK6_skl,X0,sK4_skl)
| ~ organization(sK6_skl,sK5_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f32]) ).
fof(f44,plain,
! [X0,X1] :
( X0 = X1
| ~ class(sK6_skl,X1,sK5_skl)
| ~ class(sK6_skl,X0,sK4_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f33]) ).
fof(f45,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ greater(sK5_skl,sK4_skl)
| ~ inertia(sK6_skl,X1,sK5_skl)
| ~ inertia(sK6_skl,X0,sK4_skl)
| ~ organization(sK6_skl,sK5_skl)
| ~ organization(sK6_skl,sK4_skl) ),
inference(resolution,[status(thm)],[f28,f34]) ).
fof(f46,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ greater(sK5_skl,sK4_skl)
| ~ inertia(sK6_skl,X1,sK5_skl)
| ~ inertia(sK6_skl,X0,sK4_skl)
| ~ organization(sK6_skl,sK5_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f45,f32]) ).
fof(f47,plain,
inertia(sK6_skl,sK0_skl(sK5_skl,sK6_skl),sK5_skl),
inference(resolution,[status(thm)],[f12,f33]) ).
fof(f48,plain,
inertia(sK6_skl,sK0_skl(sK4_skl,sK6_skl),sK4_skl),
inference(resolution,[status(thm)],[f12,f32]) ).
fof(f49,plain,
class(sK6_skl,sK1_skl(sK5_skl,sK6_skl),sK5_skl),
inference(resolution,[status(thm)],[f19,f33]) ).
fof(f50,plain,
class(sK6_skl,sK1_skl(sK4_skl,sK6_skl),sK4_skl),
inference(resolution,[status(thm)],[f19,f32]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sK6_skl,X4,sK5_skl)
| ~ complexity(X0,X3,X1)
| ~ complexity(sK6_skl,X2,sK5_skl)
| ~ class(X0,sK1_skl(sK5_skl,sK6_skl),X1)
| ~ organization(X0,X1)
| ~ organization(sK6_skl,sK5_skl) ),
inference(resolution,[status(thm)],[f49,f25]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sK6_skl,X4,sK5_skl)
| ~ complexity(X0,X3,X1)
| ~ complexity(sK6_skl,X2,sK5_skl)
| ~ class(X0,sK1_skl(sK5_skl,sK6_skl),X1)
| ~ organization(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f33]) ).
fof(f53,plain,
! [X0] :
( sK1_skl(sK4_skl,sK6_skl) = X0
| ~ class(sK6_skl,X0,sK5_skl) ),
inference(resolution,[status(thm)],[f50,f44]) ).
fof(f56,plain,
sK1_skl(sK4_skl,sK6_skl) = sK1_skl(sK5_skl,sK6_skl),
inference(resolution,[status(thm)],[f53,f49]) ).
fof(f61,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ greater(sK5_skl,sK4_skl)
| ~ inertia(sK6_skl,X1,sK5_skl)
| ~ inertia(sK6_skl,X0,sK4_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f46,f33]) ).
fof(f62,plain,
! [X0] :
( greater(X0,sK0_skl(sK4_skl,sK6_skl))
| ~ greater(sK5_skl,sK4_skl)
| ~ inertia(sK6_skl,X0,sK5_skl) ),
inference(resolution,[status(thm)],[f61,f48]) ).
fof(f63,plain,
! [X0] :
( greater(X0,sK0_skl(sK4_skl,sK6_skl))
| ~ inertia(sK6_skl,X0,sK5_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f62,f37]) ).
fof(f64,plain,
greater(sK0_skl(sK5_skl,sK6_skl),sK0_skl(sK4_skl,sK6_skl)),
inference(resolution,[status(thm)],[f63,f47]) ).
fof(f65,plain,
~ greater(sK0_skl(sK4_skl,sK6_skl),sK0_skl(sK5_skl,sK6_skl)),
inference(resolution,[status(thm)],[f64,f16]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4,X5] :
( greater(X5,X4)
| ~ greater(X3,X2)
| ~ inertia(X0,X5,X1)
| ~ inertia(sK6_skl,X4,sK5_skl)
| ~ complexity(X0,X3,X1)
| ~ complexity(sK6_skl,X2,sK5_skl)
| ~ class(X0,sK1_skl(sK4_skl,sK6_skl),X1)
| ~ organization(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f56,f52]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( greater(X3,X2)
| ~ greater(X1,X0)
| ~ inertia(sK6_skl,X3,sK4_skl)
| ~ inertia(sK6_skl,X2,sK5_skl)
| ~ complexity(sK6_skl,X1,sK4_skl)
| ~ complexity(sK6_skl,X0,sK5_skl)
| ~ organization(sK6_skl,sK4_skl) ),
inference(resolution,[status(thm)],[f66,f50]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( greater(X3,X2)
| ~ greater(X1,X0)
| ~ inertia(sK6_skl,X3,sK4_skl)
| ~ inertia(sK6_skl,X2,sK5_skl)
| ~ complexity(sK6_skl,X1,sK4_skl)
| ~ complexity(sK6_skl,X0,sK5_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f68,f32]) ).
fof(f77,plain,
! [X0,X1,X2] :
( greater(X2,X1)
| ~ greater(X0,sK3_skl)
| ~ inertia(sK6_skl,X2,sK4_skl)
| ~ inertia(sK6_skl,X1,sK5_skl)
| ~ complexity(sK6_skl,X0,sK4_skl) ),
inference(resolution,[status(thm)],[f70,f36]) ).
fof(f79,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ greater(sK2_skl,sK3_skl)
| ~ inertia(sK6_skl,X1,sK4_skl)
| ~ inertia(sK6_skl,X0,sK5_skl) ),
inference(resolution,[status(thm)],[f77,f35]) ).
fof(f80,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ inertia(sK6_skl,X1,sK4_skl)
| ~ inertia(sK6_skl,X0,sK5_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f79,f38]) ).
fof(f81,plain,
! [X0] :
( greater(X0,sK0_skl(sK5_skl,sK6_skl))
| ~ inertia(sK6_skl,X0,sK4_skl) ),
inference(resolution,[status(thm)],[f80,f47]) ).
fof(f82,plain,
greater(sK0_skl(sK4_skl,sK6_skl),sK0_skl(sK5_skl,sK6_skl)),
inference(resolution,[status(thm)],[f81,f48]) ).
fof(f83,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f82,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT012+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 01:21:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.059511 seconds
% 0.09/0.43 % CPU time: 0.145217 seconds
% 0.09/0.43 % Total memory used: 44.527 MB
% 0.09/0.43 % Net memory used: 44.028 MB
%------------------------------------------------------------------------------