%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT015+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 : Tue Sep 29 12:02:29 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 123 ( 38 unt; 13 def)
% Number of atoms : 504 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 651 ( 270 ~; 286 |; 77 &)
% ( 13 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 14 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 219 ( 0 sgn 199 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : inertia(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp5) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( organization(X0,X7)
& organization(X1,X8)
& class(X0,X2,X7)
& class(X1,X2,X8)
& complexity(X0,X3,X7)
& complexity(X1,X4,X8)
& inertia(X0,X5,X7)
& inertia(X1,X6,X8)
& greater(X4,X3) )
=> greater(X6,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_FOL) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( organization(X0,X6)
& organization(X1,X6)
& organization(X1,X8)
& class(X0,X3,X6)
& class(X1,X3,X6)
& reorganization(X0,X6,X7)
& reorganization(X1,X6,X8)
& reorganization_type(X0,X2,X6)
& reorganization_type(X1,X2,X6)
& inertia(X0,X4,X6)
& inertia(X1,X5,X6)
& greater(X5,X4) )
=> greater(X8,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_FOL) ).
fof(f4,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( organization(X0,X6)
& organization(X1,X6)
& organization(X1,X8)
& class(X0,X3,X6)
& class(X1,X3,X6)
& reorganization(X0,X6,X7)
& reorganization(X1,X6,X8)
& reorganization_type(X0,X2,X6)
& reorganization_type(X1,X2,X6)
& complexity(X0,X4,X6)
& complexity(X1,X5,X6)
& greater(X5,X4) )
=> greater(X8,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_FOL) ).
fof(f5,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( organization(X0,X6)
& organization(X1,X6)
& organization(X1,X8)
& class(X0,X3,X6)
& class(X1,X3,X6)
& reorganization(X0,X6,X7)
& reorganization(X1,X6,X8)
& reorganization_type(X0,X2,X6)
& reorganization_type(X1,X2,X6)
& complexity(X0,X4,X6)
& complexity(X1,X5,X6)
& greater(X5,X4) )
=> greater(X8,X7) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( ? [X2] : inertia(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X6,X5)
| ~ organization(X0,X7)
| ~ organization(X1,X8)
| ~ class(X0,X2,X7)
| ~ class(X1,X2,X8)
| ~ complexity(X0,X3,X7)
| ~ complexity(X1,X4,X8)
| ~ inertia(X0,X5,X7)
| ~ inertia(X1,X6,X8)
| ~ greater(X4,X3) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X6,X5)
| ~ organization(X0,X7)
| ~ organization(X1,X8)
| ~ class(X0,X2,X7)
| ~ class(X1,X2,X8)
| ~ complexity(X0,X3,X7)
| ~ complexity(X1,X4,X8)
| ~ inertia(X0,X5,X7)
| ~ inertia(X1,X6,X8)
| ~ greater(X4,X3) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X8,X7)
| ~ organization(X0,X6)
| ~ organization(X1,X6)
| ~ organization(X1,X8)
| ~ class(X0,X3,X6)
| ~ class(X1,X3,X6)
| ~ reorganization(X0,X6,X7)
| ~ reorganization(X1,X6,X8)
| ~ reorganization_type(X0,X2,X6)
| ~ reorganization_type(X1,X2,X6)
| ~ inertia(X0,X4,X6)
| ~ inertia(X1,X5,X6)
| ~ greater(X5,X4) ),
inference(ennf_transformation,[],[f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( greater(X8,X7)
| ~ organization(X0,X6)
| ~ organization(X1,X6)
| ~ organization(X1,X8)
| ~ class(X0,X3,X6)
| ~ class(X1,X3,X6)
| ~ reorganization(X0,X6,X7)
| ~ reorganization(X1,X6,X8)
| ~ reorganization_type(X0,X2,X6)
| ~ reorganization_type(X1,X2,X6)
| ~ inertia(X0,X4,X6)
| ~ inertia(X1,X5,X6)
| ~ greater(X5,X4) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ greater(X8,X7)
& organization(X0,X6)
& organization(X1,X6)
& organization(X1,X8)
& class(X0,X3,X6)
& class(X1,X3,X6)
& reorganization(X0,X6,X7)
& reorganization(X1,X6,X8)
& reorganization_type(X0,X2,X6)
& reorganization_type(X1,X2,X6)
& complexity(X0,X4,X6)
& complexity(X1,X5,X6)
& greater(X5,X4) ),
inference(ennf_transformation,[],[f5]) ).
fof(f12,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ greater(X8,X7)
& organization(X0,X6)
& organization(X1,X6)
& organization(X1,X8)
& class(X0,X3,X6)
& class(X1,X3,X6)
& reorganization(X0,X6,X7)
& reorganization(X1,X6,X8)
& reorganization_type(X0,X2,X6)
& reorganization_type(X1,X2,X6)
& complexity(X0,X4,X6)
& complexity(X1,X5,X6)
& greater(X5,X4) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( inertia(X0,sK0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f6]) ).
fof(f14,plain,
( ~ greater(sK9,sK8)
& organization(sK1,sK7)
& organization(sK2,sK7)
& organization(sK2,sK9)
& class(sK1,sK4,sK7)
& class(sK2,sK4,sK7)
& reorganization(sK1,sK7,sK8)
& reorganization(sK2,sK7,sK9)
& reorganization_type(sK1,sK3,sK7)
& reorganization_type(sK2,sK3,sK7)
& complexity(sK1,sK5,sK7)
& complexity(sK2,sK6,sK7)
& greater(sK6,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6),skolemize(X6,sK7),skolemize(X7,sK8),skolemize(X8,sK9)],[f12]) ).
fof(f15,plain,
! [X0,X1] :
( inertia(X0,sK0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X6,X5)
| ~ organization(X0,X7)
| ~ organization(X1,X8)
| ~ class(X0,X2,X7)
| ~ class(X1,X2,X8)
| ~ complexity(X0,X3,X7)
| ~ complexity(X1,X4,X8)
| ~ inertia(X0,X5,X7)
| ~ inertia(X1,X6,X8)
| ~ greater(X4,X3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X8,X7)
| ~ organization(X0,X6)
| ~ organization(X1,X6)
| ~ organization(X1,X8)
| ~ class(X0,X3,X6)
| ~ class(X1,X3,X6)
| ~ reorganization(X0,X6,X7)
| ~ reorganization(X1,X6,X8)
| ~ reorganization_type(X0,X2,X6)
| ~ reorganization_type(X1,X2,X6)
| ~ inertia(X0,X4,X6)
| ~ inertia(X1,X5,X6)
| ~ greater(X5,X4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
greater(sK6,sK5),
inference(cnf_transformation,[],[f14]) ).
fof(f19,plain,
complexity(sK2,sK6,sK7),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
complexity(sK1,sK5,sK7),
inference(cnf_transformation,[],[f14]) ).
fof(f21,plain,
reorganization_type(sK2,sK3,sK7),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
reorganization_type(sK1,sK3,sK7),
inference(cnf_transformation,[],[f14]) ).
fof(f23,plain,
reorganization(sK2,sK7,sK9),
inference(cnf_transformation,[],[f14]) ).
fof(f24,plain,
reorganization(sK1,sK7,sK8),
inference(cnf_transformation,[],[f14]) ).
fof(f25,plain,
class(sK2,sK4,sK7),
inference(cnf_transformation,[],[f14]) ).
fof(f26,plain,
class(sK1,sK4,sK7),
inference(cnf_transformation,[],[f14]) ).
fof(f27,plain,
organization(sK2,sK9),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
organization(sK2,sK7),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
organization(sK1,sK7),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
~ greater(sK9,sK8),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
! [X0,X1] :
( ~ inertia(X0,sK0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X4,X3)
| ~ organization(X0,X7)
| ~ organization(X1,X8)
| class(X0,X2,X7)
| class(X1,X2,X8)
| ~ complexity(X0,X3,X7)
| ~ complexity(X1,X4,X8)
| inertia(X0,X5,X7)
| inertia(X1,X6,X8)
| ~ greater(X6,X5) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f33,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( greater(X5,X4)
| ~ organization(X0,X6)
| ~ organization(X1,X6)
| ~ organization(X1,X8)
| class(X0,X3,X6)
| class(X1,X3,X6)
| ~ reorganization(X0,X6,X7)
| ~ reorganization(X1,X6,X8)
| ~ reorganization_type(X0,X2,X6)
| ~ reorganization_type(X1,X2,X6)
| inertia(X0,X4,X6)
| inertia(X1,X5,X6)
| ~ greater(X8,X7) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f34,plain,
greater(sK9,sK8),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f35,plain,
~ class(sK1,sK4,sK7),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f36,plain,
~ class(sK2,sK4,sK7),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f37,plain,
~ greater(sK6,sK5),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f38,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ complexity(X2,sK6,X3)
| ~ complexity(X0,sK5,X1)
| class(X0,X4,X1)
| class(X2,X4,X3)
| ~ organization(X2,X3)
| ~ organization(X0,X1)
| inertia(X0,X5,X1)
| inertia(X2,X6,X3)
| ~ greater(X6,X5) ),
inference(resolution,[],[f32,f37]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X4] :
( ~ complexity(X0,sK6,X1)
| class(sK1,X2,sK7)
| class(X0,X2,X1)
| ~ organization(X0,X1)
| ~ organization(sK1,sK7)
| inertia(sK1,X3,sK7)
| inertia(X0,X4,X1)
| ~ greater(X4,X3) ),
inference(resolution,[],[f38,f20]) ).
fof(f42,definition,
( spl10_1
<=> organization(sK1,sK7) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f44,plain,
( ~ organization(sK1,sK7)
| spl10_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f46,definition,
( spl10_2
<=> ! [X2,X4,X0,X3,X1] :
( ~ complexity(X0,sK6,X1)
| ~ greater(X4,X3)
| inertia(X0,X4,X1)
| inertia(sK1,X3,sK7)
| ~ organization(X0,X1)
| class(X0,X2,X1)
| class(sK1,X2,sK7) ) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f47,plain,
( ! [X2,X3,X0,X1,X4] :
( class(sK1,X2,sK7)
| ~ greater(X4,X3)
| inertia(X0,X4,X1)
| inertia(sK1,X3,sK7)
| ~ organization(X0,X1)
| class(X0,X2,X1)
| ~ complexity(X0,sK6,X1) )
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f48,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f40,f46,f42]) ).
fof(f50,definition,
( spl10_3
<=> organization(sK2,sK7) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f52,plain,
( ~ organization(sK2,sK7)
| spl10_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f57,plain,
( $false
| spl10_1 ),
inference(resolution,[],[f44,f29]) ).
fof(f58,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f59,plain,
( $false
| spl10_3 ),
inference(resolution,[],[f52,f28]) ).
fof(f60,plain,
spl10_3,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f62,plain,
( ! [X2,X3,X0,X1] :
( inertia(sK1,X1,sK7)
| inertia(X2,X0,X3)
| ~ greater(X0,X1)
| ~ organization(X2,X3)
| class(X2,sK4,X3)
| ~ complexity(X2,sK6,X3) )
| ~ spl10_2 ),
inference(resolution,[],[f47,f35]) ).
fof(f63,plain,
( ! [X2,X0,X1] :
( inertia(X0,X1,X2)
| ~ greater(X1,sK0(sK1,sK7))
| ~ organization(X0,X2)
| class(X0,sK4,X2)
| ~ complexity(X0,sK6,X2)
| ~ organization(sK1,sK7) )
| ~ spl10_2 ),
inference(resolution,[],[f62,f31]) ).
fof(f65,definition,
( spl10_5
<=> ! [X2,X0,X1] :
( inertia(X0,X1,X2)
| ~ complexity(X0,sK6,X2)
| class(X0,sK4,X2)
| ~ organization(X0,X2)
| ~ greater(X1,sK0(sK1,sK7)) ) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f66,plain,
( ! [X2,X0,X1] :
( ~ complexity(X0,sK6,X2)
| inertia(X0,X1,X2)
| class(X0,sK4,X2)
| ~ organization(X0,X2)
| ~ greater(X1,sK0(sK1,sK7)) )
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( ~ spl10_1
| spl10_5
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f63,f46,f65,f42]) ).
fof(f68,plain,
( ! [X0] :
( inertia(sK2,X0,sK7)
| class(sK2,sK4,sK7)
| ~ organization(sK2,sK7)
| ~ greater(X0,sK0(sK1,sK7)) )
| ~ spl10_5 ),
inference(resolution,[],[f66,f19]) ).
fof(f70,definition,
( spl10_6
<=> class(sK2,sK4,sK7) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f72,plain,
( class(sK2,sK4,sK7)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f74,definition,
( spl10_7
<=> ! [X0] :
( inertia(sK2,X0,sK7)
| ~ greater(X0,sK0(sK1,sK7)) ) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f75,plain,
( ! [X0] :
( inertia(sK2,X0,sK7)
| ~ greater(X0,sK0(sK1,sK7)) )
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f76,plain,
( ~ spl10_3
| spl10_6
| spl10_7
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f68,f65,f74,f70,f50]) ).
fof(f77,plain,
( ~ greater(sK0(sK2,sK7),sK0(sK1,sK7))
| ~ organization(sK2,sK7)
| ~ spl10_7 ),
inference(resolution,[],[f75,f31]) ).
fof(f79,definition,
( spl10_8
<=> greater(sK0(sK2,sK7),sK0(sK1,sK7)) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f81,plain,
( ~ greater(sK0(sK2,sK7),sK0(sK1,sK7))
| spl10_8 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( ~ spl10_3
| ~ spl10_8
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f77,f74,f79,f50]) ).
fof(f83,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( inertia(X2,sK0(sK2,sK7),X1)
| ~ organization(X2,X1)
| ~ organization(X2,X3)
| class(X0,X4,X1)
| class(X2,X4,X1)
| ~ reorganization(X0,X1,X5)
| ~ reorganization(X2,X1,X3)
| ~ reorganization_type(X0,X6,X1)
| ~ reorganization_type(X2,X6,X1)
| inertia(X0,sK0(sK1,sK7),X1)
| ~ organization(X0,X1)
| ~ greater(X3,X5) )
| spl10_8 ),
inference(resolution,[],[f81,f33]) ).
fof(f101,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ organization(sK2,sK7)
| ~ organization(sK2,X0)
| class(X1,X2,sK7)
| class(sK2,X2,sK7)
| ~ reorganization(X1,sK7,X3)
| ~ reorganization(sK2,sK7,X0)
| ~ reorganization_type(X1,X4,sK7)
| ~ reorganization_type(sK2,X4,sK7)
| inertia(X1,sK0(sK1,sK7),sK7)
| ~ organization(X1,sK7)
| ~ greater(X0,X3)
| ~ organization(sK2,sK7) )
| spl10_8 ),
inference(resolution,[],[f83,f31]) ).
fof(f102,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ organization(sK2,sK7)
| ~ organization(sK2,X0)
| class(X1,X2,sK7)
| class(sK2,X2,sK7)
| ~ reorganization(X1,sK7,X3)
| ~ reorganization(sK2,sK7,X0)
| ~ reorganization_type(X1,X4,sK7)
| ~ reorganization_type(sK2,X4,sK7)
| inertia(X1,sK0(sK1,sK7),sK7)
| ~ organization(X1,sK7)
| ~ greater(X0,X3) )
| spl10_8 ),
inference(duplicate_literal_removal,[],[f101]) ).
fof(f104,definition,
( spl10_12
<=> ! [X4,X0,X3,X2,X1] :
( ~ organization(sK2,X0)
| ~ greater(X0,X3)
| ~ reorganization(sK2,sK7,X0)
| class(X1,X2,sK7)
| ~ organization(X1,sK7)
| inertia(X1,sK0(sK1,sK7),sK7)
| ~ reorganization_type(sK2,X4,sK7)
| ~ reorganization_type(X1,X4,sK7)
| ~ reorganization(X1,sK7,X3)
| class(sK2,X2,sK7) ) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f105,plain,
( ! [X2,X3,X0,X1,X4] :
( class(sK2,X2,sK7)
| ~ greater(X0,X3)
| ~ reorganization(sK2,sK7,X0)
| class(X1,X2,sK7)
| ~ organization(X1,sK7)
| inertia(X1,sK0(sK1,sK7),sK7)
| ~ reorganization_type(sK2,X4,sK7)
| ~ reorganization_type(X1,X4,sK7)
| ~ reorganization(X1,sK7,X3)
| ~ organization(sK2,X0) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f106,plain,
( spl10_12
| ~ spl10_3
| spl10_8 ),
inference(avatar_split_clause,[],[f102,f79,f50,f104]) ).
fof(f107,plain,
( ! [X2,X3,X0,X1] :
( class(X2,sK4,sK7)
| ~ reorganization(sK2,sK7,X0)
| ~ greater(X0,X1)
| ~ organization(X2,sK7)
| inertia(X2,sK0(sK1,sK7),sK7)
| ~ reorganization_type(sK2,X3,sK7)
| ~ reorganization_type(X2,X3,sK7)
| ~ reorganization(X2,sK7,X1)
| ~ organization(sK2,X0) )
| ~ spl10_12 ),
inference(resolution,[],[f105,f36]) ).
fof(f108,plain,
( ! [X2,X0,X1] :
( ~ reorganization(sK2,sK7,X0)
| ~ greater(X0,X1)
| ~ organization(sK1,sK7)
| inertia(sK1,sK0(sK1,sK7),sK7)
| ~ reorganization_type(sK2,X2,sK7)
| ~ reorganization_type(sK1,X2,sK7)
| ~ reorganization(sK1,sK7,X1)
| ~ organization(sK2,X0) )
| ~ spl10_12 ),
inference(resolution,[],[f107,f35]) ).
fof(f123,definition,
( spl10_16
<=> ! [X2] :
( ~ reorganization_type(sK2,X2,sK7)
| ~ reorganization_type(sK1,X2,sK7) ) ),
introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).
fof(f124,plain,
( ! [X2] :
( ~ reorganization_type(sK2,X2,sK7)
| ~ reorganization_type(sK1,X2,sK7) )
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,definition,
( spl10_17
<=> inertia(sK1,sK0(sK1,sK7),sK7) ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f128,plain,
( inertia(sK1,sK0(sK1,sK7),sK7)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f130,definition,
( spl10_18
<=> ! [X0,X1] :
( ~ reorganization(sK2,sK7,X0)
| ~ organization(sK2,X0)
| ~ reorganization(sK1,sK7,X1)
| ~ greater(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl10_18])],[avatar_definition]) ).
fof(f131,plain,
( ! [X0,X1] :
( ~ reorganization(sK2,sK7,X0)
| ~ organization(sK2,X0)
| ~ reorganization(sK1,sK7,X1)
| ~ greater(X0,X1) )
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( spl10_16
| spl10_17
| ~ spl10_1
| spl10_18
| ~ spl10_12 ),
inference(avatar_split_clause,[],[f108,f104,f130,f42,f126,f123]) ).
fof(f138,plain,
( ~ reorganization_type(sK1,sK3,sK7)
| ~ spl10_16 ),
inference(resolution,[],[f124,f21]) ).
fof(f139,plain,
( $false
| ~ spl10_16 ),
inference(resolution,[],[f138,f22]) ).
fof(f140,plain,
~ spl10_16,
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f141,plain,
( ~ organization(sK1,sK7)
| ~ spl10_17 ),
inference(resolution,[],[f128,f31]) ).
fof(f142,plain,
( ~ spl10_1
| ~ spl10_17 ),
inference(avatar_split_clause,[],[f141,f126,f42]) ).
fof(f145,plain,
( ! [X0] :
( ~ organization(sK2,sK9)
| ~ reorganization(sK1,sK7,X0)
| ~ greater(sK9,X0) )
| ~ spl10_18 ),
inference(resolution,[],[f131,f23]) ).
fof(f147,definition,
( spl10_19
<=> ! [X0] :
( ~ reorganization(sK1,sK7,X0)
| ~ greater(sK9,X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_19])],[avatar_definition]) ).
fof(f148,plain,
( ! [X0] :
( ~ reorganization(sK1,sK7,X0)
| ~ greater(sK9,X0) )
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,definition,
( spl10_20
<=> organization(sK2,sK9) ),
introduced(definition,[new_symbols(definition,[spl10_20])],[avatar_definition]) ).
fof(f152,plain,
( ~ organization(sK2,sK9)
| spl10_20 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,plain,
( spl10_19
| ~ spl10_20
| ~ spl10_18 ),
inference(avatar_split_clause,[],[f145,f130,f150,f147]) ).
fof(f154,plain,
( $false
| spl10_20 ),
inference(resolution,[],[f152,f27]) ).
fof(f155,plain,
spl10_20,
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f156,plain,
( ~ greater(sK9,sK8)
| ~ spl10_19 ),
inference(resolution,[],[f148,f24]) ).
fof(f157,plain,
( $false
| ~ spl10_19 ),
inference(resolution,[],[f156,f34]) ).
fof(f160,plain,
~ spl10_19,
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f163,plain,
( $false
| ~ spl10_6 ),
inference(resolution,[],[f72,f36]) ).
fof(f164,plain,
~ spl10_6,
inference(avatar_contradiction_clause,[],[f163]) ).
cnf(s1,plain,
( ~ spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
spl10_1,
inference(sat_conversion,[],[f58]) ).
cnf(s4,plain,
spl10_3,
inference(sat_conversion,[],[f60]) ).
cnf(s5,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_5 ),
inference(sat_conversion,[],[f67]) ).
cnf(s6,plain,
( ~ spl10_3
| ~ spl10_5
| spl10_6
| spl10_7 ),
inference(sat_conversion,[],[f76]) ).
cnf(s7,plain,
( ~ spl10_3
| ~ spl10_7
| ~ spl10_8 ),
inference(sat_conversion,[],[f82]) ).
cnf(s10,plain,
( ~ spl10_3
| spl10_8
| spl10_12 ),
inference(sat_conversion,[],[f106]) ).
cnf(s12,plain,
( ~ spl10_1
| ~ spl10_12
| spl10_16
| spl10_17
| spl10_18 ),
inference(sat_conversion,[],[f132]) ).
cnf(s14,plain,
~ spl10_16,
inference(sat_conversion,[],[f140]) ).
cnf(s15,plain,
( ~ spl10_1
| ~ spl10_17 ),
inference(sat_conversion,[],[f142]) ).
cnf(s16,plain,
( ~ spl10_18
| spl10_19
| ~ spl10_20 ),
inference(sat_conversion,[],[f153]) ).
cnf(s17,plain,
spl10_20,
inference(sat_conversion,[],[f155]) ).
cnf(s18,plain,
~ spl10_19,
inference(sat_conversion,[],[f160]) ).
cnf(s22,plain,
~ spl10_6,
inference(sat_conversion,[],[f164]) ).
cnf(s23,plain,
~ spl10_18,
inference(rat,[],[s16,s17,s18]) ).
cnf(s24,plain,
( ~ spl10_1
| ~ spl10_12
| spl10_17 ),
inference(rat,[],[s12,s23,s14]) ).
cnf(s26,plain,
( ~ spl10_3
| ~ spl10_5
| spl10_7 ),
inference(rat,[],[s6,s22]) ).
cnf(s27,plain,
~ spl10_17,
inference(rat,[],[s15,s3]) ).
cnf(s28,plain,
~ spl10_12,
inference(rat,[],[s24,s27,s3]) ).
cnf(s29,plain,
spl10_8,
inference(rat,[],[s10,s4,s28]) ).
cnf(s31,plain,
~ spl10_7,
inference(rat,[],[s7,s4,s29]) ).
cnf(s32,plain,
~ spl10_5,
inference(rat,[],[s26,s4,s31]) ).
cnf(s33,plain,
~ spl10_2,
inference(rat,[],[s5,s3,s32]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s1,s33,s3]) ).
fof(f165,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT015+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:19:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.45 % (1876466)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (1876477)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1972833464:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (1876477) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1876466-1876477"...
% 0.12/0.45 % (1876477)...printing done.
% 0.12/0.45 % (1876477)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (1876477)------------------------------
% 0.12/0.45 % (1876477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (1876477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (1876477)CaDiCaL version: 2.1.3
% 0.12/0.45 % (1876477)Termination reason: Refutation
% 0.12/0.45 % (1876477)Time elapsed: 0.003 s
% 0.12/0.45 % (1876477)Peak memory usage: 12 MB
% 0.12/0.45 % (1876477)Instructions burned: 7 (million)
% 0.12/0.45 % (1876466)Success in time 0.029 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------