%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT004+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 : n020.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 12:02:26 PM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 98 ( 27 unt; 7 def)
% Number of atoms : 408 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 552 ( 242 ~; 238 |; 59 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 226 ( 0 sgn 208 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : reliability(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1) ).
fof(f2,axiom,
! [X0,X1] :
( organization(X0,X1)
=> ? [X2] : accountability(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( organization(X0,X8)
& organization(X1,X9)
& reliability(X0,X2,X8)
& reliability(X1,X3,X9)
& accountability(X0,X4,X8)
& accountability(X1,X5,X9)
& survival_chance(X0,X6,X8)
& survival_chance(X1,X7,X9)
& greater(X3,X2)
& greater(X5,X4) )
=> greater(X7,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_FOL) ).
fof(f4,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( organization(X0,X5)
& organization(X0,X6)
& reorganization(X0,X7,X8)
& reliability(X0,X1,X5)
& reliability(X0,X2,X6)
& accountability(X0,X3,X5)
& accountability(X0,X4,X6)
& ~ greater(X7,X5)
& greater(X6,X5)
& ~ greater(X6,X8) )
=> ( greater(X1,X2)
& greater(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_FOL) ).
fof(f5,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( organization(X0,X3)
& organization(X0,X4)
& reorganization(X0,X5,X6)
& survival_chance(X0,X1,X3)
& survival_chance(X0,X2,X4)
& ~ greater(X5,X3)
& greater(X4,X3)
& ~ greater(X4,X6) )
=> greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_FOL) ).
fof(f6,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( organization(X0,X3)
& organization(X0,X4)
& reorganization(X0,X5,X6)
& survival_chance(X0,X1,X3)
& survival_chance(X0,X2,X4)
& ~ greater(X5,X3)
& greater(X4,X3)
& ~ greater(X4,X6) )
=> greater(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( ? [X2] : reliability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f8,plain,
! [X0,X1] :
( ? [X2] : accountability(X0,X2,X1)
| ~ organization(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( greater(X7,X6)
| ~ organization(X0,X8)
| ~ organization(X1,X9)
| ~ reliability(X0,X2,X8)
| ~ reliability(X1,X3,X9)
| ~ accountability(X0,X4,X8)
| ~ accountability(X1,X5,X9)
| ~ survival_chance(X0,X6,X8)
| ~ survival_chance(X1,X7,X9)
| ~ greater(X3,X2)
| ~ greater(X5,X4) ),
inference(ennf_transformation,[],[f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( greater(X7,X6)
| ~ organization(X0,X8)
| ~ organization(X1,X9)
| ~ reliability(X0,X2,X8)
| ~ reliability(X1,X3,X9)
| ~ accountability(X0,X4,X8)
| ~ accountability(X1,X5,X9)
| ~ survival_chance(X0,X6,X8)
| ~ survival_chance(X1,X7,X9)
| ~ greater(X3,X2)
| ~ greater(X5,X4) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X1,X2)
& greater(X3,X4) )
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ reliability(X0,X2,X6)
| ~ accountability(X0,X3,X5)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8) ),
inference(ennf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( greater(X1,X2)
& greater(X3,X4) )
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ reliability(X0,X2,X6)
| ~ accountability(X0,X3,X5)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| ~ greater(X6,X5)
| greater(X6,X8) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ greater(X1,X2)
& organization(X0,X3)
& organization(X0,X4)
& reorganization(X0,X5,X6)
& survival_chance(X0,X1,X3)
& survival_chance(X0,X2,X4)
& ~ greater(X5,X3)
& greater(X4,X3)
& ~ greater(X4,X6) ),
inference(ennf_transformation,[],[f6]) ).
fof(f14,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ greater(X1,X2)
& organization(X0,X3)
& organization(X0,X4)
& reorganization(X0,X5,X6)
& survival_chance(X0,X1,X3)
& survival_chance(X0,X2,X4)
& ~ greater(X5,X3)
& greater(X4,X3)
& ~ greater(X4,X6) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( reliability(X0,sK0(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f7]) ).
fof(f16,plain,
! [X0,X1] :
( accountability(X0,sK1(X0,X1),X1)
| ~ organization(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f8]) ).
fof(f17,plain,
( ~ greater(sK3,sK4)
& organization(sK2,sK5)
& organization(sK2,sK6)
& reorganization(sK2,sK7,sK8)
& survival_chance(sK2,sK3,sK5)
& survival_chance(sK2,sK4,sK6)
& ~ greater(sK7,sK5)
& greater(sK6,sK5)
& ~ greater(sK6,sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6),skolemize(X5,sK7),skolemize(X6,sK8)],[f14]) ).
fof(f18,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| reliability(X0,sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f19,plain,
! [X0,X1] :
( ~ organization(X0,X1)
| accountability(X0,sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ greater(X3,X2)
| ~ organization(X0,X8)
| ~ organization(X1,X9)
| ~ reliability(X0,X2,X8)
| ~ reliability(X1,X3,X9)
| ~ accountability(X0,X4,X8)
| ~ accountability(X1,X5,X9)
| ~ survival_chance(X0,X6,X8)
| ~ survival_chance(X1,X7,X9)
| greater(X7,X6)
| ~ greater(X5,X4) ),
inference(cnf_transformation,[],[f10]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ greater(X6,X5)
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ reliability(X0,X2,X6)
| ~ accountability(X0,X3,X5)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| greater(X3,X4)
| greater(X6,X8) ),
inference(cnf_transformation,[],[f12]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ greater(X6,X5)
| ~ organization(X0,X5)
| ~ organization(X0,X6)
| ~ reorganization(X0,X7,X8)
| ~ reliability(X0,X1,X5)
| ~ reliability(X0,X2,X6)
| ~ accountability(X0,X3,X5)
| ~ accountability(X0,X4,X6)
| greater(X7,X5)
| greater(X1,X2)
| greater(X6,X8) ),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
~ greater(sK6,sK8),
inference(cnf_transformation,[],[f17]) ).
fof(f24,plain,
greater(sK6,sK5),
inference(cnf_transformation,[],[f17]) ).
fof(f25,plain,
~ greater(sK7,sK5),
inference(cnf_transformation,[],[f17]) ).
fof(f26,plain,
survival_chance(sK2,sK4,sK6),
inference(cnf_transformation,[],[f17]) ).
fof(f27,plain,
survival_chance(sK2,sK3,sK5),
inference(cnf_transformation,[],[f17]) ).
fof(f28,plain,
reorganization(sK2,sK7,sK8),
inference(cnf_transformation,[],[f17]) ).
fof(f29,plain,
organization(sK2,sK6),
inference(cnf_transformation,[],[f17]) ).
fof(f30,plain,
organization(sK2,sK5),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
~ greater(sK3,sK4),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
reliability(sK2,sK0(sK2,sK6),sK6),
inference(resolution,[],[f18,f29]) ).
fof(f33,plain,
reliability(sK2,sK0(sK2,sK5),sK5),
inference(resolution,[],[f18,f30]) ).
fof(f34,plain,
accountability(sK2,sK1(sK2,sK6),sK6),
inference(resolution,[],[f19,f29]) ).
fof(f35,plain,
accountability(sK2,sK1(sK2,sK5),sK5),
inference(resolution,[],[f19,f30]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ organization(X0,sK6)
| ~ organization(X0,sK5)
| ~ reorganization(X0,X1,X2)
| ~ reliability(X0,X3,sK5)
| ~ reliability(X0,X4,sK6)
| ~ accountability(X0,X5,sK5)
| ~ accountability(X0,X6,sK6)
| greater(X1,sK5)
| greater(X5,X6)
| greater(sK6,X2) ),
inference(resolution,[],[f21,f24]) ).
fof(f37,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ organization(X0,sK6)
| ~ organization(X0,sK5)
| ~ reorganization(X0,X1,X2)
| ~ reliability(X0,X3,sK5)
| ~ reliability(X0,X4,sK6)
| ~ accountability(X0,X5,sK5)
| ~ accountability(X0,X6,sK6)
| greater(X1,sK5)
| greater(X3,X4)
| greater(sK6,X2) ),
inference(resolution,[],[f22,f24]) ).
fof(f39,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ organization(sK2,sK5)
| ~ reorganization(sK2,X0,X1)
| ~ reliability(sK2,X2,sK5)
| ~ reliability(sK2,X3,sK6)
| ~ accountability(sK2,X4,sK5)
| ~ accountability(sK2,X5,sK6)
| greater(X0,sK5)
| greater(X4,X5)
| greater(sK6,X1) ),
inference(resolution,[],[f36,f29]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ reorganization(sK2,X0,X1)
| ~ reliability(sK2,X2,sK5)
| ~ reliability(sK2,X3,sK6)
| ~ accountability(sK2,X4,sK5)
| ~ accountability(sK2,X5,sK6)
| greater(X0,sK5)
| greater(X4,X5)
| greater(sK6,X1) ),
inference(forward_subsumption_resolution,[],[f39,f30]) ).
fof(f42,definition,
( spl9_1
<=> ! [X4,X5] :
( ~ accountability(sK2,X4,sK5)
| greater(X4,X5)
| ~ accountability(sK2,X5,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f43,plain,
( ! [X4,X5] :
( ~ accountability(sK2,X4,sK5)
| greater(X4,X5)
| ~ accountability(sK2,X5,sK6) )
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,definition,
( spl9_2
<=> ! [X3] : ~ reliability(sK2,X3,sK6) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f46,plain,
( ! [X3] : ~ reliability(sK2,X3,sK6)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,definition,
( spl9_3
<=> ! [X2] : ~ reliability(sK2,X2,sK5) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
fof(f49,plain,
( ! [X2] : ~ reliability(sK2,X2,sK5)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,definition,
( spl9_4
<=> ! [X0,X1] :
( ~ reorganization(sK2,X0,X1)
| greater(sK6,X1)
| greater(X0,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
fof(f52,plain,
( ! [X0,X1] :
( ~ reorganization(sK2,X0,X1)
| greater(sK6,X1)
| greater(X0,sK5) )
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f53,plain,
( spl9_1
| spl9_2
| spl9_3
| spl9_4 ),
inference(avatar_split_clause,[],[f40,f51,f48,f45,f42]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ organization(sK2,sK5)
| ~ reorganization(sK2,X0,X1)
| ~ reliability(sK2,X2,sK5)
| ~ reliability(sK2,X3,sK6)
| ~ accountability(sK2,X4,sK5)
| ~ accountability(sK2,X5,sK6)
| greater(X0,sK5)
| greater(X2,X3)
| greater(sK6,X1) ),
inference(resolution,[],[f37,f29]) ).
fof(f55,plain,
( $false
| ~ spl9_2 ),
inference(resolution,[],[f46,f32]) ).
fof(f56,plain,
~ spl9_2,
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f58,plain,
( $false
| ~ spl9_3 ),
inference(resolution,[],[f49,f33]) ).
fof(f59,plain,
~ spl9_3,
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f60,plain,
( greater(sK6,sK8)
| greater(sK7,sK5)
| ~ spl9_4 ),
inference(resolution,[],[f52,f28]) ).
fof(f61,plain,
( greater(sK7,sK5)
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f60,f23]) ).
fof(f62,plain,
( $false
| ~ spl9_4 ),
inference(forward_subsumption_resolution,[],[f61,f25]) ).
fof(f63,plain,
~ spl9_4,
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ reorganization(sK2,X0,X1)
| ~ reliability(sK2,X2,sK5)
| ~ reliability(sK2,X3,sK6)
| ~ accountability(sK2,X4,sK5)
| ~ accountability(sK2,X5,sK6)
| greater(X0,sK5)
| greater(X2,X3)
| greater(sK6,X1) ),
inference(forward_subsumption_resolution,[],[f54,f30]) ).
fof(f66,definition,
( spl9_5
<=> ! [X5] : ~ accountability(sK2,X5,sK6) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f67,plain,
( ! [X5] : ~ accountability(sK2,X5,sK6)
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,definition,
( spl9_6
<=> ! [X4] : ~ accountability(sK2,X4,sK5) ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
fof(f70,plain,
( ! [X4] : ~ accountability(sK2,X4,sK5)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,definition,
( spl9_7
<=> ! [X2,X3] :
( ~ reliability(sK2,X2,sK5)
| greater(X2,X3)
| ~ reliability(sK2,X3,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
fof(f73,plain,
( ! [X2,X3] :
( ~ reliability(sK2,X2,sK5)
| greater(X2,X3)
| ~ reliability(sK2,X3,sK6) )
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
( spl9_5
| spl9_6
| spl9_7
| spl9_4 ),
inference(avatar_split_clause,[],[f64,f51,f72,f69,f66]) ).
fof(f75,plain,
( $false
| ~ spl9_6 ),
inference(resolution,[],[f70,f35]) ).
fof(f76,plain,
~ spl9_6,
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f77,plain,
( ! [X0] :
( ~ accountability(sK2,X0,sK6)
| greater(sK1(sK2,sK5),X0) )
| ~ spl9_1 ),
inference(resolution,[],[f43,f35]) ).
fof(f78,plain,
( greater(sK1(sK2,sK5),sK1(sK2,sK6))
| ~ spl9_1 ),
inference(resolution,[],[f77,f34]) ).
fof(f79,plain,
( ! [X0] :
( ~ reliability(sK2,X0,sK6)
| greater(sK0(sK2,sK5),X0) )
| ~ spl9_7 ),
inference(resolution,[],[f73,f33]) ).
fof(f110,plain,
( greater(sK0(sK2,sK5),sK0(sK2,sK6))
| ~ spl9_7 ),
inference(resolution,[],[f79,f32]) ).
fof(f112,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ greater(X5,X4)
| ~ organization(X2,X3)
| ~ reliability(X0,sK0(sK2,sK6),X1)
| ~ reliability(X2,sK0(sK2,sK5),X3)
| ~ accountability(X0,X4,X1)
| ~ accountability(X2,X5,X3)
| ~ survival_chance(X0,X6,X1)
| ~ survival_chance(X2,X7,X3)
| greater(X7,X6)
| ~ organization(X0,X1) )
| ~ spl9_7 ),
inference(resolution,[],[f110,f20]) ).
fof(f138,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ organization(X0,X1)
| ~ reliability(X2,sK0(sK2,sK6),X3)
| ~ reliability(X0,sK0(sK2,sK5),X1)
| ~ accountability(X2,sK1(sK2,sK6),X3)
| ~ accountability(X0,sK1(sK2,sK5),X1)
| ~ survival_chance(X2,X4,X3)
| ~ survival_chance(X0,X5,X1)
| greater(X5,X4)
| ~ organization(X2,X3) )
| ~ spl9_1
| ~ spl9_7 ),
inference(resolution,[],[f112,f78]) ).
fof(f164,plain,
( ! [X2,X3,X0,X1] :
( ~ reliability(X0,sK0(sK2,sK6),X1)
| ~ reliability(sK2,sK0(sK2,sK5),sK5)
| ~ accountability(X0,sK1(sK2,sK6),X1)
| ~ accountability(sK2,sK1(sK2,sK5),sK5)
| ~ survival_chance(X0,X2,X1)
| ~ survival_chance(sK2,X3,sK5)
| greater(X3,X2)
| ~ organization(X0,X1) )
| ~ spl9_1
| ~ spl9_7 ),
inference(resolution,[],[f138,f30]) ).
fof(f165,plain,
( ! [X2,X3,X0,X1] :
( ~ reliability(X0,sK0(sK2,sK6),X1)
| ~ accountability(X0,sK1(sK2,sK6),X1)
| ~ accountability(sK2,sK1(sK2,sK5),sK5)
| ~ survival_chance(X0,X2,X1)
| ~ survival_chance(sK2,X3,sK5)
| greater(X3,X2)
| ~ organization(X0,X1) )
| ~ spl9_1
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f164,f33]) ).
fof(f174,plain,
( ! [X2,X3,X0,X1] :
( ~ organization(X0,X1)
| ~ accountability(X0,sK1(sK2,sK6),X1)
| ~ survival_chance(X0,X2,X1)
| ~ survival_chance(sK2,X3,sK5)
| greater(X3,X2)
| ~ reliability(X0,sK0(sK2,sK6),X1) )
| ~ spl9_1
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f165,f35]) ).
fof(f194,plain,
( ! [X0,X1] :
( ~ accountability(sK2,sK1(sK2,sK6),sK6)
| ~ survival_chance(sK2,X0,sK6)
| ~ survival_chance(sK2,X1,sK5)
| greater(X1,X0)
| ~ reliability(sK2,sK0(sK2,sK6),sK6) )
| ~ spl9_1
| ~ spl9_7 ),
inference(resolution,[],[f174,f29]) ).
fof(f208,plain,
( ! [X0,X1] :
( ~ survival_chance(sK2,X0,sK6)
| ~ survival_chance(sK2,X1,sK5)
| greater(X1,X0)
| ~ reliability(sK2,sK0(sK2,sK6),sK6) )
| ~ spl9_1
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f194,f34]) ).
fof(f209,plain,
( ! [X0,X1] :
( ~ survival_chance(sK2,X0,sK6)
| ~ survival_chance(sK2,X1,sK5)
| greater(X1,X0) )
| ~ spl9_1
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f208,f32]) ).
fof(f210,plain,
( ! [X0] :
( ~ survival_chance(sK2,X0,sK5)
| greater(X0,sK4) )
| ~ spl9_1
| ~ spl9_7 ),
inference(resolution,[],[f209,f26]) ).
fof(f211,plain,
( greater(sK3,sK4)
| ~ spl9_1
| ~ spl9_7 ),
inference(resolution,[],[f210,f27]) ).
fof(f212,plain,
( $false
| ~ spl9_1
| ~ spl9_7 ),
inference(forward_subsumption_resolution,[],[f211,f31]) ).
fof(f213,plain,
( ~ spl9_1
| ~ spl9_7 ),
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f214,plain,
( $false
| ~ spl9_5 ),
inference(resolution,[],[f67,f34]) ).
fof(f215,plain,
~ spl9_5,
inference(avatar_contradiction_clause,[],[f214]) ).
cnf(s1,plain,
( spl9_1
| spl9_2
| spl9_3
| spl9_4 ),
inference(sat_conversion,[],[f53]) ).
cnf(s2,plain,
~ spl9_2,
inference(sat_conversion,[],[f56]) ).
cnf(s3,plain,
~ spl9_3,
inference(sat_conversion,[],[f59]) ).
cnf(s4,plain,
~ spl9_4,
inference(sat_conversion,[],[f63]) ).
cnf(s5,plain,
( spl9_4
| spl9_5
| spl9_6
| spl9_7 ),
inference(sat_conversion,[],[f74]) ).
cnf(s6,plain,
~ spl9_6,
inference(sat_conversion,[],[f76]) ).
cnf(s17,plain,
( ~ spl9_1
| ~ spl9_7 ),
inference(sat_conversion,[],[f213]) ).
cnf(s18,plain,
~ spl9_5,
inference(sat_conversion,[],[f215]) ).
cnf(s19,plain,
( spl9_4
| spl9_7 ),
inference(rat,[],[s5,s6,s18]) ).
cnf(s20,plain,
spl9_7,
inference(rat,[],[s19,s4]) ).
cnf(s21,plain,
~ spl9_1,
inference(rat,[],[s17,s20]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s1,s4,s3,s2,s21]) ).
fof(f216,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT004+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:16:34 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (3625774)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3625784)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=475985567:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3625780)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3625784) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3625774-3625784"...
% 0.11/0.45 % (3625784)...printing done.
% 0.11/0.45 % (3625784)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3625784)------------------------------
% 0.11/0.45 % (3625784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3625784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3625784)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3625784)Termination reason: Refutation
% 0.11/0.45 % (3625784)Time elapsed: 0.004 s
% 0.11/0.45 % (3625784)Peak memory usage: 12 MB
% 0.11/0.45 % (3625784)Instructions burned: 9 (million)
% 0.11/0.45 % (3625774)Success in time 0.032 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------