%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN548+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:00:55 PM UTC 2026
% Result : Theorem 7.39s 1.95s
% Output : Refutation 9.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 66
% Syntax : Number of formulae : 426 ( 85 unt; 63 def)
% Number of atoms : 1739 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 2413 (1100 ~;1191 |; 38 &)
% ( 66 <=>; 16 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 67 ( 66 usr; 61 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 380 ( 0 sgn 360 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : reachable(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_reachable) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( reachable(X0,X1)
& reachable(X1,X2) )
=> reachable(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_reachable) ).
fof(f3,conjecture,
? [X0] :
( reachable(initial_world,X0)
& ! [X1] :
( reachable(X0,X1)
=> ( ! [X2] :
( reachable(X1,X2)
=> ( p(X2)
| ! [X3] :
( reachable(X2,X3)
=> q(X3) ) ) )
<=> ( ! [X4] :
( reachable(X1,X4)
=> p(X4) )
| ! [X4] :
( reachable(X1,X4)
=> q(X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f4,negated_conjecture,
~ ? [X0] :
( reachable(initial_world,X0)
& ! [X1] :
( reachable(X0,X1)
=> ( ! [X2] :
( reachable(X1,X2)
=> ( p(X2)
| ! [X3] :
( reachable(X2,X3)
=> q(X3) ) ) )
<=> ( ! [X4] :
( reachable(X1,X4)
=> p(X4) )
| ! [X4] :
( reachable(X1,X4)
=> q(X4) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ? [X0] :
( reachable(initial_world,X0)
& ! [X1] :
( reachable(X0,X1)
=> ( ! [X2] :
( reachable(X1,X2)
=> ( p(X2)
| ! [X3] :
( reachable(X2,X3)
=> q(X3) ) ) )
<=> ( ! [X4] :
( reachable(X1,X4)
=> p(X4) )
| ! [X5] :
( reachable(X1,X5)
=> q(X5) ) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
! [X0,X1,X2] :
( reachable(X0,X2)
| ~ reachable(X0,X1)
| ~ reachable(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
! [X0,X1,X2] :
( reachable(X0,X2)
| ~ reachable(X0,X1)
| ~ reachable(X1,X2) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ? [X1] :
( ( ! [X2] :
( p(X2)
| ! [X3] :
( q(X3)
| ~ reachable(X2,X3) )
| ~ reachable(X1,X2) )
<~> ( ! [X4] :
( p(X4)
| ~ reachable(X1,X4) )
| ! [X5] :
( q(X5)
| ~ reachable(X1,X5) ) ) )
& reachable(X0,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ? [X1] :
( ( ! [X2] :
( p(X2)
| ! [X3] :
( q(X3)
| ~ reachable(X2,X3) )
| ~ reachable(X1,X2) )
<~> ( ! [X4] :
( p(X4)
| ~ reachable(X1,X4) )
| ! [X5] :
( q(X5)
| ~ reachable(X1,X5) ) ) )
& reachable(X0,X1) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ? [X1] :
( ( ( ? [X4] :
( ~ p(X4)
& reachable(X1,X4) )
& ? [X5] :
( ~ q(X5)
& reachable(X1,X5) ) )
| ? [X2] :
( ~ p(X2)
& ? [X3] :
( ~ q(X3)
& reachable(X2,X3) )
& reachable(X1,X2) ) )
& ( ! [X4] :
( p(X4)
| ~ reachable(X1,X4) )
| ! [X5] :
( q(X5)
| ~ reachable(X1,X5) )
| ! [X2] :
( p(X2)
| ! [X3] :
( q(X3)
| ~ reachable(X2,X3) )
| ~ reachable(X1,X2) ) )
& reachable(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f11,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ? [X1] :
( ( ( ? [X4] :
( ~ p(X4)
& reachable(X1,X4) )
& ? [X5] :
( ~ q(X5)
& reachable(X1,X5) ) )
| ? [X2] :
( ~ p(X2)
& ? [X3] :
( ~ q(X3)
& reachable(X2,X3) )
& reachable(X1,X2) ) )
& ( ! [X4] :
( p(X4)
| ~ reachable(X1,X4) )
| ! [X5] :
( q(X5)
| ~ reachable(X1,X5) )
| ! [X2] :
( p(X2)
| ! [X3] :
( q(X3)
| ~ reachable(X2,X3) )
| ~ reachable(X1,X2) ) )
& reachable(X0,X1) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ? [X1] :
( ( ( ? [X2] :
( ~ p(X2)
& reachable(X1,X2) )
& ? [X3] :
( ~ q(X3)
& reachable(X1,X3) ) )
| ? [X4] :
( ~ p(X4)
& ? [X5] :
( ~ q(X5)
& reachable(X4,X5) )
& reachable(X1,X4) ) )
& ( ! [X6] :
( p(X6)
| ~ reachable(X1,X6) )
| ! [X7] :
( q(X7)
| ~ reachable(X1,X7) )
| ! [X8] :
( p(X8)
| ! [X9] :
( q(X9)
| ~ reachable(X8,X9) )
| ~ reachable(X1,X8) ) )
& reachable(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ( ( ( ~ p(sK1(X0))
& reachable(sK0(X0),sK1(X0))
& ~ q(sK2(X0))
& reachable(sK0(X0),sK2(X0)) )
| ( ~ p(sK3(X0))
& ~ q(sK4(X0))
& reachable(sK3(X0),sK4(X0))
& reachable(sK0(X0),sK3(X0)) ) )
& ( ! [X6] :
( p(X6)
| ~ reachable(sK0(X0),X6) )
| ! [X7] :
( q(X7)
| ~ reachable(sK0(X0),X7) )
| ! [X8] :
( p(X8)
| ! [X9] :
( q(X9)
| ~ reachable(X8,X9) )
| ~ reachable(sK0(X0),X8) ) )
& reachable(X0,sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0)),skolemize(X4,sK3(X0)),skolemize(X5,sK4(X0))],[f12]) ).
fof(f14,plain,
! [X0] : reachable(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
! [X2,X0,X1] :
( reachable(X0,X2)
| ~ reachable(X0,X1)
| ~ reachable(X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f16,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| reachable(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f17,plain,
! [X0,X8,X6,X9,X7] :
( ~ reachable(initial_world,X0)
| p(X6)
| ~ reachable(sK0(X0),X6)
| q(X7)
| ~ reachable(sK0(X0),X7)
| p(X8)
| q(X9)
| ~ reachable(X8,X9)
| ~ reachable(sK0(X0),X8) ),
inference(cnf_transformation,[],[f13]) ).
fof(f18,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| reachable(sK0(X0),sK3(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f19,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| reachable(sK3(X0),sK4(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| ~ q(sK4(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| ~ p(sK3(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f22,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| reachable(sK0(X0),sK3(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| reachable(sK3(X0),sK4(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| ~ q(sK4(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| ~ p(sK3(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK1(X0))
| reachable(sK0(X0),sK3(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK1(X0))
| reachable(sK3(X0),sK4(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f28,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK1(X0))
| ~ q(sK4(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK1(X0))
| ~ p(sK3(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f30,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| reachable(sK0(X0),sK3(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| reachable(sK3(X0),sK4(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| ~ q(sK4(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f33,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| ~ p(sK3(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X0,X6] :
( p(X6)
| ~ reachable(sK0(X0),X6)
| sP5(X0) ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,definition,
! [X0] :
( ! [X6] :
( p(X6)
| ~ reachable(sK0(X0),X6) )
<=> ~ sP5(X0) ),
introduced(definition,[new_symbols(definition,[sP5])],[general_splitting_component_introduction]) ).
fof(f35,plain,
! [X0,X8,X9,X7] :
( ~ reachable(initial_world,X0)
| q(X7)
| ~ reachable(sK0(X0),X7)
| p(X8)
| q(X9)
| ~ reachable(X8,X9)
| ~ reachable(sK0(X0),X8)
| ~ sP5(X0) ),
inference(general_splitting,[],[f17,f34_D]) ).
fof(f36,plain,
! [X8,X9] :
( q(X9)
| ~ reachable(X8,X9)
| sP6(X8) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,definition,
! [X8] :
( ! [X9] :
( q(X9)
| ~ reachable(X8,X9) )
<=> ~ sP6(X8) ),
introduced(definition,[new_symbols(definition,[sP6])],[general_splitting_component_introduction]) ).
fof(f37,plain,
! [X0,X8,X7] :
( ~ reachable(initial_world,X0)
| q(X7)
| ~ reachable(sK0(X0),X7)
| p(X8)
| ~ reachable(sK0(X0),X8)
| ~ sP5(X0)
| ~ sP6(X8) ),
inference(general_splitting,[],[f35,f36_D]) ).
fof(f38,plain,
! [X0,X8] :
( p(X8)
| ~ reachable(sK0(X0),X8)
| ~ sP6(X8)
| sP7(X0) ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,definition,
! [X0] :
( ! [X8] :
( p(X8)
| ~ reachable(sK0(X0),X8)
| ~ sP6(X8) )
<=> ~ sP7(X0) ),
introduced(definition,[new_symbols(definition,[sP7])],[general_splitting_component_introduction]) ).
fof(f39,plain,
! [X0,X7] :
( ~ reachable(initial_world,X0)
| q(X7)
| ~ reachable(sK0(X0),X7)
| ~ sP5(X0)
| ~ sP7(X0) ),
inference(general_splitting,[],[f37,f38_D]) ).
fof(f41,definition,
( spl8_1
<=> ! [X9,X8] :
( q(X9)
| ~ reachable(X8,X9)
| sP6(X8) ) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f42,plain,
( ! [X8,X9] :
( ~ reachable(X8,X9)
| q(X9)
| sP6(X8) )
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f43,plain,
spl8_1,
inference(avatar_split_clause,[],[f36,f41]) ).
fof(f45,plain,
( ! [X2,X0,X1] :
( q(X0)
| sP6(X1)
| ~ reachable(X1,X2)
| ~ reachable(X2,X0) )
| ~ spl8_1 ),
inference(resolution,[],[f42,f15]) ).
fof(f47,definition,
( spl8_2
<=> ! [X6,X0] :
( p(X6)
| ~ reachable(sK0(X0),X6)
| sP5(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f48,plain,
( ! [X0,X6] :
( ~ reachable(sK0(X0),X6)
| p(X6)
| sP5(X0) )
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f49,plain,
spl8_2,
inference(avatar_split_clause,[],[f34,f47]) ).
fof(f53,definition,
( spl8_3
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(X0,sK0(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f54,plain,
( ! [X0] :
( reachable(X0,sK0(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f55,plain,
spl8_3,
inference(avatar_split_clause,[],[f16,f53]) ).
fof(f58,plain,
( ! [X0,X1] :
( ~ reachable(initial_world,X0)
| reachable(X0,X1)
| ~ reachable(sK0(X0),X1) )
| ~ spl8_3 ),
inference(resolution,[],[f54,f15]) ).
fof(f61,definition,
( spl8_4
<=> ! [X0,X8] :
( p(X8)
| ~ reachable(sK0(X0),X8)
| ~ sP6(X8)
| sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f62,plain,
( ! [X0,X8] :
( ~ reachable(sK0(X0),X8)
| p(X8)
| ~ sP6(X8)
| sP7(X0) )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f63,plain,
spl8_4,
inference(avatar_split_clause,[],[f38,f61]) ).
fof(f68,definition,
( spl8_5
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| ~ p(sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).
fof(f69,plain,
( ! [X0] :
( ~ p(sK3(X0))
| ~ p(sK1(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f70,plain,
spl8_5,
inference(avatar_split_clause,[],[f33,f68]) ).
fof(f72,definition,
( spl8_6
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| ~ q(sK4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f73,plain,
( ! [X0] :
( ~ q(sK4(X0))
| ~ p(sK1(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
spl8_6,
inference(avatar_split_clause,[],[f32,f72]) ).
fof(f76,definition,
( spl8_7
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| ~ p(sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f77,plain,
( ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| ~ p(sK3(X0)) )
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
spl8_7,
inference(avatar_split_clause,[],[f25,f76]) ).
fof(f80,definition,
( spl8_8
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| ~ q(sK4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f81,plain,
( ! [X0] :
( ~ q(sK4(X0))
| ~ q(sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
spl8_8,
inference(avatar_split_clause,[],[f24,f80]) ).
fof(f84,definition,
( spl8_9
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| reachable(sK0(X0),sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f85,plain,
( ! [X0] :
( reachable(sK0(X0),sK3(X0))
| ~ p(sK1(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
spl8_9,
inference(avatar_split_clause,[],[f30,f84]) ).
fof(f88,definition,
( spl8_10
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| reachable(sK3(X0),sK4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
fof(f89,plain,
( ! [X0] :
( reachable(sK3(X0),sK4(X0))
| ~ p(sK1(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
spl8_10,
inference(avatar_split_clause,[],[f31,f88]) ).
fof(f92,definition,
( spl8_11
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| reachable(sK0(X0),sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
fof(f93,plain,
( ! [X0] :
( reachable(sK0(X0),sK3(X0))
| ~ q(sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
spl8_11,
inference(avatar_split_clause,[],[f22,f92]) ).
fof(f96,definition,
( spl8_12
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| ~ p(sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).
fof(f97,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| ~ p(sK3(X0)) )
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
spl8_12,
inference(avatar_split_clause,[],[f21,f96]) ).
fof(f100,definition,
( spl8_13
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| ~ q(sK4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
fof(f101,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| ~ q(sK4(X0)) )
| ~ spl8_13 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
spl8_13,
inference(avatar_split_clause,[],[f20,f100]) ).
fof(f104,definition,
( spl8_14
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| reachable(sK3(X0),sK4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_14])],[avatar_definition]) ).
fof(f105,plain,
( ! [X0] :
( reachable(sK3(X0),sK4(X0))
| ~ q(sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f106,plain,
spl8_14,
inference(avatar_split_clause,[],[f23,f104]) ).
fof(f108,definition,
( spl8_15
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK1(X0))
| ~ p(sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
fof(f109,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| ~ p(sK3(X0)) )
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f110,plain,
spl8_15,
inference(avatar_split_clause,[],[f29,f108]) ).
fof(f112,definition,
( spl8_16
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK1(X0))
| ~ q(sK4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_16])],[avatar_definition]) ).
fof(f113,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| ~ q(sK4(X0)) )
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
spl8_16,
inference(avatar_split_clause,[],[f28,f112]) ).
fof(f116,definition,
( spl8_17
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| reachable(sK0(X0),sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
fof(f117,plain,
( ! [X0] :
( reachable(sK0(X0),sK3(X0))
| reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
spl8_17,
inference(avatar_split_clause,[],[f18,f116]) ).
fof(f120,definition,
( spl8_18
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK1(X0))
| reachable(sK0(X0),sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition]) ).
fof(f121,plain,
( ! [X0] :
( reachable(sK0(X0),sK3(X0))
| reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
spl8_18,
inference(avatar_split_clause,[],[f26,f120]) ).
fof(f124,definition,
( spl8_19
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| reachable(sK3(X0),sK4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_19])],[avatar_definition]) ).
fof(f125,plain,
( ! [X0] :
( reachable(sK3(X0),sK4(X0))
| reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
spl8_19,
inference(avatar_split_clause,[],[f19,f124]) ).
fof(f128,definition,
( spl8_20
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK1(X0))
| reachable(sK3(X0),sK4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_20])],[avatar_definition]) ).
fof(f129,plain,
( ! [X0] :
( reachable(sK3(X0),sK4(X0))
| reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f130,plain,
spl8_20,
inference(avatar_split_clause,[],[f27,f128]) ).
fof(f131,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| p(sK3(X0))
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_4
| ~ spl8_17 ),
inference(resolution,[],[f117,f62]) ).
fof(f135,plain,
( ! [X0,X1] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| reachable(sK0(X0),X1)
| ~ reachable(sK3(X0),X1) )
| ~ spl8_17 ),
inference(resolution,[],[f117,f15]) ).
fof(f137,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_4
| ~ spl8_12
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f131,f97]) ).
fof(f144,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| p(sK3(X0))
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_4
| ~ spl8_18 ),
inference(resolution,[],[f121,f62]) ).
fof(f145,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| p(sK3(X0))
| sP5(X0) )
| ~ spl8_2
| ~ spl8_18 ),
inference(resolution,[],[f121,f48]) ).
fof(f149,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| sP5(X0) )
| ~ spl8_2
| ~ spl8_15
| ~ spl8_18 ),
inference(forward_subsumption_resolution,[],[f145,f109]) ).
fof(f150,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_4
| ~ spl8_15
| ~ spl8_18 ),
inference(forward_subsumption_resolution,[],[f144,f109]) ).
fof(f151,plain,
( ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| p(sK3(X0))
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_4
| ~ spl8_11 ),
inference(resolution,[],[f93,f62]) ).
fof(f155,plain,
( ! [X0,X1] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| reachable(sK0(X0),X1)
| ~ reachable(sK3(X0),X1) )
| ~ spl8_11 ),
inference(resolution,[],[f93,f15]) ).
fof(f157,plain,
( ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_4
| ~ spl8_7
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f151,f77]) ).
fof(f158,plain,
( ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| q(sK4(X0))
| sP6(sK3(X0)) )
| ~ spl8_1
| ~ spl8_14 ),
inference(resolution,[],[f105,f42]) ).
fof(f161,plain,
( ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) )
| ~ spl8_1
| ~ spl8_8
| ~ spl8_14 ),
inference(forward_subsumption_resolution,[],[f158,f81]) ).
fof(f163,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK4(X0))
| p(sK1(X0))
| sP5(X0) )
| ~ spl8_2
| ~ spl8_16 ),
inference(resolution,[],[f113,f48]) ).
fof(f167,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK4(X0))
| sP5(X0) )
| ~ spl8_2
| ~ spl8_6
| ~ spl8_16 ),
inference(forward_subsumption_resolution,[],[f163,f73]) ).
fof(f169,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| p(sK3(X0))
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_4
| ~ spl8_9 ),
inference(resolution,[],[f85,f62]) ).
fof(f170,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| p(sK3(X0))
| sP5(X0) )
| ~ spl8_2
| ~ spl8_9 ),
inference(resolution,[],[f85,f48]) ).
fof(f174,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| sP5(X0) )
| ~ spl8_2
| ~ spl8_5
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f170,f69]) ).
fof(f175,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_4
| ~ spl8_5
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f169,f69]) ).
fof(f182,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| q(sK4(X0))
| sP6(sK3(X0)) )
| ~ spl8_1
| ~ spl8_19 ),
inference(resolution,[],[f125,f42]) ).
fof(f185,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) )
| ~ spl8_1
| ~ spl8_13
| ~ spl8_19 ),
inference(forward_subsumption_resolution,[],[f182,f101]) ).
fof(f190,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| q(sK4(X0))
| sP6(sK3(X0)) )
| ~ spl8_1
| ~ spl8_10 ),
inference(resolution,[],[f89,f42]) ).
fof(f193,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) )
| ~ spl8_1
| ~ spl8_6
| ~ spl8_10 ),
inference(forward_subsumption_resolution,[],[f190,f73]) ).
fof(f194,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| q(sK4(X0))
| sP6(sK3(X0)) )
| ~ spl8_1
| ~ spl8_20 ),
inference(resolution,[],[f129,f42]) ).
fof(f197,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) )
| ~ spl8_1
| ~ spl8_16
| ~ spl8_20 ),
inference(forward_subsumption_resolution,[],[f194,f113]) ).
fof(f206,definition,
( spl8_22
<=> ! [X0,X7] :
( ~ reachable(initial_world,X0)
| q(X7)
| ~ reachable(sK0(X0),X7)
| ~ sP5(X0)
| ~ sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_22])],[avatar_definition]) ).
fof(f207,plain,
( ! [X0,X7] :
( ~ reachable(sK0(X0),X7)
| q(X7)
| ~ reachable(initial_world,X0)
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f208,plain,
spl8_22,
inference(avatar_split_clause,[],[f39,f206]) ).
fof(f214,plain,
( ! [X0] :
( q(sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP5(X0)
| ~ sP7(X0)
| ~ reachable(initial_world,X0)
| ~ q(sK4(X0)) )
| ~ spl8_13
| ~ spl8_22 ),
inference(resolution,[],[f207,f101]) ).
fof(f222,plain,
( ! [X0] :
( q(sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP5(X0)
| ~ sP7(X0)
| ~ q(sK4(X0)) )
| ~ spl8_13
| ~ spl8_22 ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f230,plain,
( ! [X0] :
( q(sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP7(X0)
| ~ q(sK4(X0)) )
| ~ spl8_2
| ~ spl8_6
| ~ spl8_13
| ~ spl8_16
| ~ spl8_22 ),
inference(forward_subsumption_resolution,[],[f222,f167]) ).
fof(f236,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ sP7(X0)
| ~ q(sK4(X0)) )
| ~ spl8_2
| ~ spl8_6
| ~ spl8_8
| ~ spl8_13
| ~ spl8_16
| ~ spl8_22 ),
inference(forward_subsumption_resolution,[],[f230,f81]) ).
fof(f243,definition,
( spl8_24
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ sP7(X0)
| ~ q(sK4(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_24])],[avatar_definition]) ).
fof(f244,plain,
( ! [X0] :
( ~ q(sK4(X0))
| ~ sP7(X0)
| ~ reachable(initial_world,X0) )
| ~ spl8_24 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( spl8_24
| ~ spl8_2
| ~ spl8_6
| ~ spl8_8
| ~ spl8_13
| ~ spl8_16
| ~ spl8_22 ),
inference(avatar_split_clause,[],[f236,f206,f112,f100,f80,f72,f47,f243]) ).
fof(f260,definition,
( spl8_26
<=> ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| sP5(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_26])],[avatar_definition]) ).
fof(f261,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| sP5(X0) )
| ~ spl8_26 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( spl8_26
| ~ spl8_2
| ~ spl8_15
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f149,f120,f108,f47,f260]) ).
fof(f265,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP5(X0)
| p(sK1(X0))
| sP5(X0) )
| ~ spl8_2
| ~ spl8_26 ),
inference(resolution,[],[f261,f48]) ).
fof(f269,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP5(X0)
| p(sK1(X0)) )
| ~ spl8_2
| ~ spl8_26 ),
inference(duplicate_literal_removal,[],[f265]) ).
fof(f271,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP5(X0) )
| ~ spl8_2
| ~ spl8_5
| ~ spl8_9
| ~ spl8_26 ),
inference(forward_subsumption_resolution,[],[f269,f174]) ).
fof(f274,definition,
( spl8_27
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| sP5(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_27])],[avatar_definition]) ).
fof(f275,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP5(X0) )
| ~ spl8_27 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f276,plain,
( spl8_27
| ~ spl8_2
| ~ spl8_5
| ~ spl8_9
| ~ spl8_26 ),
inference(avatar_split_clause,[],[f271,f260,f84,f68,f47,f274]) ).
fof(f296,definition,
( spl8_31
<=> ! [X0,X1] :
( ~ reachable(initial_world,X0)
| reachable(X0,X1)
| ~ reachable(sK0(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[spl8_31])],[avatar_definition]) ).
fof(f297,plain,
( ! [X0,X1] :
( ~ reachable(sK0(X0),X1)
| reachable(X0,X1)
| ~ reachable(initial_world,X0) )
| ~ spl8_31 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( spl8_31
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f58,f53,f296]) ).
fof(f300,plain,
( ! [X0] :
( reachable(X0,sK3(X0))
| ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_11
| ~ spl8_31 ),
inference(resolution,[],[f297,f93]) ).
fof(f302,plain,
( ! [X0] :
( reachable(X0,sK3(X0))
| ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_17
| ~ spl8_31 ),
inference(resolution,[],[f297,f117]) ).
fof(f318,plain,
( ! [X0] :
( reachable(X0,sK3(X0))
| ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0)) )
| ~ spl8_17
| ~ spl8_31 ),
inference(duplicate_literal_removal,[],[f302]) ).
fof(f320,plain,
( ! [X0] :
( reachable(X0,sK3(X0))
| ~ reachable(initial_world,X0)
| ~ q(sK2(X0)) )
| ~ spl8_11
| ~ spl8_31 ),
inference(duplicate_literal_removal,[],[f300]) ).
fof(f335,definition,
( spl8_35
<=> ! [X0] :
( reachable(X0,sK3(X0))
| ~ reachable(initial_world,X0)
| ~ q(sK2(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_35])],[avatar_definition]) ).
fof(f336,plain,
( ! [X0] :
( reachable(X0,sK3(X0))
| ~ reachable(initial_world,X0)
| ~ q(sK2(X0)) )
| ~ spl8_35 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f337,plain,
( spl8_35
| ~ spl8_11
| ~ spl8_31 ),
inference(avatar_split_clause,[],[f320,f296,f92,f335]) ).
fof(f363,definition,
( spl8_39
<=> ! [X0] :
( reachable(X0,sK3(X0))
| ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_39])],[avatar_definition]) ).
fof(f364,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| reachable(X0,sK3(X0)) )
| ~ spl8_39 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f365,plain,
( spl8_39
| ~ spl8_17
| ~ spl8_31 ),
inference(avatar_split_clause,[],[f318,f296,f116,f363]) ).
fof(f485,definition,
( spl8_48
<=> ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_48])],[avatar_definition]) ).
fof(f486,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) )
| ~ spl8_48 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( spl8_48
| ~ spl8_1
| ~ spl8_13
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f185,f124,f100,f41,f485]) ).
fof(f558,definition,
( spl8_51
<=> ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_51])],[avatar_definition]) ).
fof(f559,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) )
| ~ spl8_51 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f560,plain,
( spl8_51
| ~ spl8_1
| ~ spl8_16
| ~ spl8_20 ),
inference(avatar_split_clause,[],[f197,f128,f112,f41,f558]) ).
fof(f710,definition,
( spl8_64
<=> ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_64])],[avatar_definition]) ).
fof(f711,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_64 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( spl8_64
| ~ spl8_4
| ~ spl8_12
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f137,f116,f96,f61,f710]) ).
fof(f713,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) )
| ~ spl8_48
| ~ spl8_64 ),
inference(forward_subsumption_resolution,[],[f711,f486]) ).
fof(f715,definition,
( spl8_65
<=> ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_65])],[avatar_definition]) ).
fof(f716,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) )
| ~ spl8_65 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f717,plain,
( spl8_65
| ~ spl8_48
| ~ spl8_64 ),
inference(avatar_split_clause,[],[f713,f710,f485,f715]) ).
fof(f729,definition,
( spl8_66
<=> ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_66])],[avatar_definition]) ).
fof(f730,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_66 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f731,plain,
( spl8_66
| ~ spl8_4
| ~ spl8_15
| ~ spl8_18 ),
inference(avatar_split_clause,[],[f150,f120,f108,f61,f729]) ).
fof(f732,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) )
| ~ spl8_51
| ~ spl8_66 ),
inference(forward_subsumption_resolution,[],[f730,f559]) ).
fof(f734,definition,
( spl8_67
<=> ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_67])],[avatar_definition]) ).
fof(f735,plain,
( ! [X0] :
( reachable(sK0(X0),sK1(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) )
| ~ spl8_67 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f736,plain,
( spl8_67
| ~ spl8_51
| ~ spl8_66 ),
inference(avatar_split_clause,[],[f732,f729,f558,f734]) ).
fof(f737,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP7(X0)
| reachable(X0,sK1(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_31
| ~ spl8_67 ),
inference(resolution,[],[f735,f297]) ).
fof(f739,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP7(X0)
| p(sK1(X0))
| ~ sP6(sK1(X0))
| sP7(X0) )
| ~ spl8_4
| ~ spl8_67 ),
inference(resolution,[],[f735,f62]) ).
fof(f744,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP7(X0)
| p(sK1(X0))
| ~ sP6(sK1(X0)) )
| ~ spl8_4
| ~ spl8_67 ),
inference(duplicate_literal_removal,[],[f739]) ).
fof(f746,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP7(X0)
| reachable(X0,sK1(X0)) )
| ~ spl8_31
| ~ spl8_67 ),
inference(duplicate_literal_removal,[],[f737]) ).
fof(f748,definition,
( spl8_68
<=> ! [X2,X0,X1] :
( q(X0)
| sP6(X1)
| ~ reachable(X1,X2)
| ~ reachable(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_68])],[avatar_definition]) ).
fof(f749,plain,
( ! [X2,X0,X1] :
( ~ reachable(X2,X0)
| sP6(X1)
| ~ reachable(X1,X2)
| q(X0) )
| ~ spl8_68 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
( spl8_68
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f45,f41,f748]) ).
fof(f771,plain,
( ! [X0,X1] :
( sP6(X0)
| ~ reachable(X0,sK0(X1))
| q(sK2(X1))
| ~ reachable(initial_world,X1)
| reachable(X1,sK3(X1)) )
| ~ spl8_39
| ~ spl8_68 ),
inference(resolution,[],[f749,f364]) ).
fof(f783,plain,
( ! [X0,X1] :
( sP6(X0)
| ~ reachable(X0,sK3(X1))
| q(sK4(X1))
| reachable(sK0(X1),sK2(X1))
| ~ reachable(initial_world,X1) )
| ~ spl8_19
| ~ spl8_68 ),
inference(resolution,[],[f749,f125]) ).
fof(f784,plain,
( ! [X0,X1] :
( sP6(X0)
| ~ reachable(X0,sK3(X1))
| q(sK4(X1))
| ~ q(sK2(X1))
| ~ reachable(initial_world,X1) )
| ~ spl8_14
| ~ spl8_68 ),
inference(resolution,[],[f749,f105]) ).
fof(f785,plain,
( ! [X0,X1] :
( sP6(X0)
| ~ reachable(X0,sK3(X1))
| ~ q(sK2(X1))
| ~ reachable(initial_world,X1) )
| ~ spl8_8
| ~ spl8_14
| ~ spl8_68 ),
inference(forward_subsumption_resolution,[],[f784,f81]) ).
fof(f786,plain,
( ! [X0,X1] :
( sP6(X0)
| ~ reachable(X0,sK3(X1))
| reachable(sK0(X1),sK2(X1))
| ~ reachable(initial_world,X1) )
| ~ spl8_13
| ~ spl8_19
| ~ spl8_68 ),
inference(forward_subsumption_resolution,[],[f783,f101]) ).
fof(f791,plain,
( ! [X0,X1] :
( sP6(X0)
| ~ reachable(X0,sK0(X1))
| ~ reachable(initial_world,X1)
| reachable(X1,sK3(X1)) )
| ~ spl8_35
| ~ spl8_39
| ~ spl8_68 ),
inference(forward_subsumption_resolution,[],[f771,f336]) ).
fof(f798,definition,
( spl8_69
<=> ! [X0,X1] :
( sP6(X0)
| ~ reachable(X0,sK3(X1))
| reachable(sK0(X1),sK2(X1))
| ~ reachable(initial_world,X1) ) ),
introduced(definition,[new_symbols(definition,[spl8_69])],[avatar_definition]) ).
fof(f799,plain,
( ! [X0,X1] :
( reachable(sK0(X1),sK2(X1))
| ~ reachable(X0,sK3(X1))
| sP6(X0)
| ~ reachable(initial_world,X1) )
| ~ spl8_69 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f800,plain,
( spl8_69
| ~ spl8_13
| ~ spl8_19
| ~ spl8_68 ),
inference(avatar_split_clause,[],[f786,f748,f124,f100,f798]) ).
fof(f805,plain,
( ! [X2,X0,X1] :
( ~ reachable(X0,sK3(X1))
| sP6(X0)
| ~ reachable(initial_world,X1)
| sP6(X2)
| ~ reachable(X2,sK0(X1))
| q(sK2(X1)) )
| ~ spl8_68
| ~ spl8_69 ),
inference(resolution,[],[f799,f749]) ).
fof(f812,plain,
( ! [X2,X0,X1] :
( ~ reachable(X0,sK3(X1))
| sP6(X0)
| ~ reachable(initial_world,X1)
| sP6(X2)
| ~ reachable(X2,sK0(X1)) )
| ~ spl8_8
| ~ spl8_14
| ~ spl8_68
| ~ spl8_69 ),
inference(forward_subsumption_resolution,[],[f805,f785]) ).
fof(f1106,definition,
( spl8_92
<=> ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_92])],[avatar_definition]) ).
fof(f1107,plain,
( ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) )
| ~ spl8_92 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1108,plain,
( spl8_92
| ~ spl8_1
| ~ spl8_8
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f161,f104,f80,f41,f1106]) ).
fof(f1115,definition,
( spl8_94
<=> ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_94])],[avatar_definition]) ).
fof(f1116,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| sP6(sK3(X0)) )
| ~ spl8_94 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1117,plain,
( spl8_94
| ~ spl8_1
| ~ spl8_6
| ~ spl8_10 ),
inference(avatar_split_clause,[],[f193,f88,f72,f41,f1115]) ).
fof(f1223,definition,
( spl8_105
<=> ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_105])],[avatar_definition]) ).
fof(f1224,plain,
( ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_105 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f1225,plain,
( spl8_105
| ~ spl8_4
| ~ spl8_7
| ~ spl8_11 ),
inference(avatar_split_clause,[],[f157,f92,f76,f61,f1223]) ).
fof(f1226,plain,
( ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) )
| ~ spl8_92
| ~ spl8_105 ),
inference(forward_subsumption_resolution,[],[f1224,f1107]) ).
fof(f1228,definition,
( spl8_106
<=> ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_106])],[avatar_definition]) ).
fof(f1229,plain,
( ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) )
| ~ spl8_106 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1230,plain,
( spl8_106
| ~ spl8_92
| ~ spl8_105 ),
inference(avatar_split_clause,[],[f1226,f1223,f1106,f1228]) ).
fof(f1241,definition,
( spl8_109
<=> ! [X2,X0,X1] :
( ~ reachable(X0,sK3(X1))
| sP6(X0)
| ~ reachable(initial_world,X1)
| sP6(X2)
| ~ reachable(X2,sK0(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl8_109])],[avatar_definition]) ).
fof(f1242,plain,
( ! [X2,X0,X1] :
( ~ reachable(X2,sK0(X1))
| sP6(X0)
| ~ reachable(initial_world,X1)
| sP6(X2)
| ~ reachable(X0,sK3(X1)) )
| ~ spl8_109 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f1243,plain,
( spl8_109
| ~ spl8_8
| ~ spl8_14
| ~ spl8_68
| ~ spl8_69 ),
inference(avatar_split_clause,[],[f812,f798,f748,f104,f80,f1241]) ).
fof(f1244,plain,
( ! [X0,X1] :
( sP6(X0)
| ~ reachable(initial_world,X1)
| sP6(X1)
| ~ reachable(X0,sK3(X1))
| ~ reachable(initial_world,X1) )
| ~ spl8_3
| ~ spl8_109 ),
inference(resolution,[],[f1242,f54]) ).
fof(f1249,plain,
( ! [X0,X1] :
( sP6(X0)
| ~ reachable(initial_world,X1)
| sP6(X1)
| ~ reachable(X0,sK3(X1)) )
| ~ spl8_3
| ~ spl8_109 ),
inference(duplicate_literal_removal,[],[f1244]) ).
fof(f1251,definition,
( spl8_110
<=> ! [X0,X1] :
( sP6(X0)
| ~ reachable(initial_world,X1)
| sP6(X1)
| ~ reachable(X0,sK3(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl8_110])],[avatar_definition]) ).
fof(f1252,plain,
( ! [X0,X1] :
( ~ reachable(X0,sK3(X1))
| ~ reachable(initial_world,X1)
| sP6(X1)
| sP6(X0) )
| ~ spl8_110 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1253,plain,
( spl8_110
| ~ spl8_3
| ~ spl8_109 ),
inference(avatar_split_clause,[],[f1249,f1241,f53,f1251]) ).
fof(f1290,definition,
( spl8_114
<=> ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_114])],[avatar_definition]) ).
fof(f1291,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| ~ sP6(sK3(X0))
| sP7(X0) )
| ~ spl8_114 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1292,plain,
( spl8_114
| ~ spl8_4
| ~ spl8_5
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f175,f84,f68,f61,f1290]) ).
fof(f1293,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) )
| ~ spl8_94
| ~ spl8_114 ),
inference(forward_subsumption_resolution,[],[f1291,f1116]) ).
fof(f1295,definition,
( spl8_115
<=> ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_115])],[avatar_definition]) ).
fof(f1296,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0)
| sP7(X0) )
| ~ spl8_115 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1297,plain,
( spl8_115
| ~ spl8_94
| ~ spl8_114 ),
inference(avatar_split_clause,[],[f1293,f1290,f1115,f1295]) ).
fof(f1611,definition,
( spl8_133
<=> sP7(initial_world) ),
introduced(definition,[new_symbols(definition,[spl8_133])],[avatar_definition]) ).
fof(f1612,plain,
( sP7(initial_world)
| ~ spl8_133 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1613,plain,
( ~ sP7(initial_world)
| spl8_133 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1628,definition,
( spl8_137
<=> ! [X0,X1] :
( sP6(X0)
| ~ reachable(X0,sK0(X1))
| ~ reachable(initial_world,X1)
| reachable(X1,sK3(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl8_137])],[avatar_definition]) ).
fof(f1629,plain,
( ! [X0,X1] :
( ~ reachable(X0,sK0(X1))
| sP6(X0)
| ~ reachable(initial_world,X1)
| reachable(X1,sK3(X1)) )
| ~ spl8_137 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1630,plain,
( spl8_137
| ~ spl8_35
| ~ spl8_39
| ~ spl8_68 ),
inference(avatar_split_clause,[],[f791,f748,f363,f335,f1628]) ).
fof(f1631,plain,
( ! [X0] :
( sP6(X0)
| ~ reachable(initial_world,X0)
| reachable(X0,sK3(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_3
| ~ spl8_137 ),
inference(resolution,[],[f1629,f54]) ).
fof(f1636,plain,
( ! [X0] :
( sP6(X0)
| ~ reachable(initial_world,X0)
| reachable(X0,sK3(X0)) )
| ~ spl8_3
| ~ spl8_137 ),
inference(duplicate_literal_removal,[],[f1631]) ).
fof(f1638,definition,
( spl8_138
<=> ! [X0] :
( sP6(X0)
| ~ reachable(initial_world,X0)
| reachable(X0,sK3(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_138])],[avatar_definition]) ).
fof(f1639,plain,
( ! [X0] :
( reachable(X0,sK3(X0))
| ~ reachable(initial_world,X0)
| sP6(X0) )
| ~ spl8_138 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1640,plain,
( spl8_138
| ~ spl8_3
| ~ spl8_137 ),
inference(avatar_split_clause,[],[f1636,f1628,f53,f1638]) ).
fof(f1641,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP6(X0)
| ~ reachable(initial_world,X0)
| sP6(X0)
| sP6(X0) )
| ~ spl8_110
| ~ spl8_138 ),
inference(resolution,[],[f1639,f1252]) ).
fof(f1681,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP6(X0) )
| ~ spl8_110
| ~ spl8_138 ),
inference(duplicate_literal_removal,[],[f1641]) ).
fof(f1693,definition,
( spl8_139
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| sP6(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_139])],[avatar_definition]) ).
fof(f1694,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP6(X0) )
| ~ spl8_139 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1695,plain,
( spl8_139
| ~ spl8_110
| ~ spl8_138 ),
inference(avatar_split_clause,[],[f1681,f1638,f1251,f1693]) ).
fof(f1906,definition,
( spl8_160
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| sP7(X0)
| reachable(X0,sK1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_160])],[avatar_definition]) ).
fof(f1907,plain,
( ! [X0] :
( reachable(X0,sK1(X0))
| sP7(X0)
| ~ reachable(initial_world,X0) )
| ~ spl8_160 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f1908,plain,
( spl8_160
| ~ spl8_31
| ~ spl8_67 ),
inference(avatar_split_clause,[],[f746,f734,f296,f1906]) ).
fof(f1919,plain,
( sP7(initial_world)
| ~ reachable(initial_world,initial_world)
| sP6(sK1(initial_world))
| ~ spl8_139
| ~ spl8_160 ),
inference(resolution,[],[f1907,f1694]) ).
fof(f1937,plain,
( ~ reachable(initial_world,initial_world)
| sP6(sK1(initial_world))
| spl8_133
| ~ spl8_139
| ~ spl8_160 ),
inference(forward_subsumption_resolution,[],[f1919,f1613]) ).
fof(f1950,plain,
( sP6(sK1(initial_world))
| spl8_133
| ~ spl8_139
| ~ spl8_160 ),
inference(forward_subsumption_resolution,[],[f1937,f14]) ).
fof(f2011,definition,
( spl8_168
<=> sP6(sK1(initial_world)) ),
introduced(definition,[new_symbols(definition,[spl8_168])],[avatar_definition]) ).
fof(f2013,plain,
( sP6(sK1(initial_world))
| ~ spl8_168 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f2014,plain,
( spl8_168
| spl8_133
| ~ spl8_139
| ~ spl8_160 ),
inference(avatar_split_clause,[],[f1950,f1906,f1693,f1611,f2011]) ).
fof(f2025,definition,
( spl8_171
<=> ! [X0,X1] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| reachable(sK0(X0),X1)
| ~ reachable(sK3(X0),X1) ) ),
introduced(definition,[new_symbols(definition,[spl8_171])],[avatar_definition]) ).
fof(f2026,plain,
( ! [X0,X1] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0)
| reachable(sK0(X0),X1)
| ~ reachable(sK3(X0),X1) )
| ~ spl8_171 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f2027,plain,
( spl8_171
| ~ spl8_17 ),
inference(avatar_split_clause,[],[f135,f116,f2025]) ).
fof(f2030,plain,
( ! [X0,X1] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),X1)
| ~ reachable(sK3(X0),X1)
| q(sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_171 ),
inference(resolution,[],[f2026,f207]) ).
fof(f2042,plain,
( ! [X0,X1] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),X1)
| ~ reachable(sK3(X0),X1)
| q(sK2(X0))
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_171 ),
inference(duplicate_literal_removal,[],[f2030]) ).
fof(f2045,plain,
( ! [X0,X1] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),X1)
| ~ reachable(sK3(X0),X1)
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_11
| ~ spl8_22
| ~ spl8_171 ),
inference(forward_subsumption_resolution,[],[f2042,f155]) ).
fof(f2046,plain,
( ! [X0,X1] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),X1)
| ~ reachable(sK3(X0),X1)
| ~ sP7(X0) )
| ~ spl8_11
| ~ spl8_22
| ~ spl8_27
| ~ spl8_171 ),
inference(forward_subsumption_resolution,[],[f2045,f275]) ).
fof(f2048,definition,
( spl8_172
<=> ! [X0,X1] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),X1)
| ~ reachable(sK3(X0),X1)
| ~ sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_172])],[avatar_definition]) ).
fof(f2049,plain,
( ! [X0,X1] :
( ~ reachable(sK3(X0),X1)
| reachable(sK0(X0),X1)
| ~ reachable(initial_world,X0)
| ~ sP7(X0) )
| ~ spl8_172 ),
inference(avatar_component_clause,[],[f2048]) ).
fof(f2050,plain,
( spl8_172
| ~ spl8_11
| ~ spl8_22
| ~ spl8_27
| ~ spl8_171 ),
inference(avatar_split_clause,[],[f2046,f2025,f274,f206,f92,f2048]) ).
fof(f2052,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ sP7(X0)
| ~ p(sK1(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_10
| ~ spl8_172 ),
inference(resolution,[],[f2049,f89]) ).
fof(f2053,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ sP7(X0)
| reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_19
| ~ spl8_172 ),
inference(resolution,[],[f2049,f125]) ).
fof(f2054,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ sP7(X0)
| ~ q(sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_14
| ~ spl8_172 ),
inference(resolution,[],[f2049,f105]) ).
fof(f2071,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ sP7(X0)
| ~ q(sK2(X0)) )
| ~ spl8_14
| ~ spl8_172 ),
inference(duplicate_literal_removal,[],[f2054]) ).
fof(f2072,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ sP7(X0)
| reachable(sK0(X0),sK2(X0)) )
| ~ spl8_19
| ~ spl8_172 ),
inference(duplicate_literal_removal,[],[f2053]) ).
fof(f2073,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ sP7(X0)
| ~ p(sK1(X0)) )
| ~ spl8_10
| ~ spl8_172 ),
inference(duplicate_literal_removal,[],[f2052]) ).
fof(f2075,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ q(sK2(X0)) )
| ~ spl8_14
| ~ spl8_106
| ~ spl8_172 ),
inference(forward_subsumption_resolution,[],[f2071,f1229]) ).
fof(f2076,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0)) )
| ~ spl8_19
| ~ spl8_65
| ~ spl8_172 ),
inference(forward_subsumption_resolution,[],[f2072,f716]) ).
fof(f2077,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ p(sK1(X0)) )
| ~ spl8_10
| ~ spl8_115
| ~ spl8_172 ),
inference(forward_subsumption_resolution,[],[f2073,f1296]) ).
fof(f2080,definition,
( spl8_173
<=> ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ q(sK2(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_173])],[avatar_definition]) ).
fof(f2081,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ q(sK2(X0)) )
| ~ spl8_173 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2082,plain,
( spl8_173
| ~ spl8_14
| ~ spl8_106
| ~ spl8_172 ),
inference(avatar_split_clause,[],[f2075,f2048,f1228,f104,f2080]) ).
fof(f2085,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| q(sK4(X0))
| ~ reachable(initial_world,X0)
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_173 ),
inference(resolution,[],[f2081,f207]) ).
fof(f2096,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| q(sK4(X0))
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_173 ),
inference(duplicate_literal_removal,[],[f2085]) ).
fof(f2099,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_8
| ~ spl8_22
| ~ spl8_173 ),
inference(forward_subsumption_resolution,[],[f2096,f81]) ).
fof(f2100,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0))
| ~ sP5(X0) )
| ~ spl8_8
| ~ spl8_22
| ~ spl8_106
| ~ spl8_173 ),
inference(forward_subsumption_resolution,[],[f2099,f1229]) ).
fof(f2101,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0)) )
| ~ spl8_8
| ~ spl8_22
| ~ spl8_27
| ~ spl8_106
| ~ spl8_173 ),
inference(forward_subsumption_resolution,[],[f2100,f275]) ).
fof(f2103,definition,
( spl8_174
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ q(sK2(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_174])],[avatar_definition]) ).
fof(f2104,plain,
( ! [X0] :
( ~ q(sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_174 ),
inference(avatar_component_clause,[],[f2103]) ).
fof(f2105,plain,
( spl8_174
| ~ spl8_8
| ~ spl8_22
| ~ spl8_27
| ~ spl8_106
| ~ spl8_173 ),
inference(avatar_split_clause,[],[f2101,f2080,f1228,f274,f206,f80,f2103]) ).
fof(f2107,definition,
( spl8_175
<=> ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ p(sK1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_175])],[avatar_definition]) ).
fof(f2108,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| ~ p(sK1(X0)) )
| ~ spl8_175 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f2109,plain,
( spl8_175
| ~ spl8_10
| ~ spl8_115
| ~ spl8_172 ),
inference(avatar_split_clause,[],[f2077,f2048,f1295,f88,f2107]) ).
fof(f2112,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| q(sK4(X0))
| ~ reachable(initial_world,X0)
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_175 ),
inference(resolution,[],[f2108,f207]) ).
fof(f2123,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| q(sK4(X0))
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_175 ),
inference(duplicate_literal_removal,[],[f2112]) ).
fof(f2126,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_6
| ~ spl8_22
| ~ spl8_175 ),
inference(forward_subsumption_resolution,[],[f2123,f73]) ).
fof(f2127,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0))
| ~ sP5(X0) )
| ~ spl8_6
| ~ spl8_22
| ~ spl8_115
| ~ spl8_175 ),
inference(forward_subsumption_resolution,[],[f2126,f1296]) ).
fof(f2128,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0)) )
| ~ spl8_6
| ~ spl8_22
| ~ spl8_27
| ~ spl8_115
| ~ spl8_175 ),
inference(forward_subsumption_resolution,[],[f2127,f275]) ).
fof(f2130,definition,
( spl8_176
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ p(sK1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_176])],[avatar_definition]) ).
fof(f2131,plain,
( ! [X0] :
( ~ p(sK1(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_176 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f2132,plain,
( spl8_176
| ~ spl8_6
| ~ spl8_22
| ~ spl8_27
| ~ spl8_115
| ~ spl8_175 ),
inference(avatar_split_clause,[],[f2128,f2107,f1295,f274,f206,f72,f2130]) ).
fof(f2134,definition,
( spl8_177
<=> ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_177])],[avatar_definition]) ).
fof(f2135,plain,
( ! [X0] :
( reachable(sK0(X0),sK4(X0))
| ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0)) )
| ~ spl8_177 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f2136,plain,
( spl8_177
| ~ spl8_19
| ~ spl8_65
| ~ spl8_172 ),
inference(avatar_split_clause,[],[f2076,f2048,f715,f124,f2134]) ).
fof(f2139,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| q(sK4(X0))
| ~ reachable(initial_world,X0)
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_177 ),
inference(resolution,[],[f2135,f207]) ).
fof(f2150,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| q(sK4(X0))
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_177 ),
inference(duplicate_literal_removal,[],[f2139]) ).
fof(f2153,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_24
| ~ spl8_177 ),
inference(forward_subsumption_resolution,[],[f2150,f244]) ).
fof(f2154,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0))
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_24
| ~ spl8_27
| ~ spl8_177 ),
inference(forward_subsumption_resolution,[],[f2153,f275]) ).
fof(f2155,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0)) )
| ~ spl8_22
| ~ spl8_24
| ~ spl8_27
| ~ spl8_65
| ~ spl8_177 ),
inference(forward_subsumption_resolution,[],[f2154,f716]) ).
fof(f2157,definition,
( spl8_178
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| reachable(sK0(X0),sK2(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_178])],[avatar_definition]) ).
fof(f2158,plain,
( ! [X0] :
( reachable(sK0(X0),sK2(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_178 ),
inference(avatar_component_clause,[],[f2157]) ).
fof(f2159,plain,
( spl8_178
| ~ spl8_22
| ~ spl8_24
| ~ spl8_27
| ~ spl8_65
| ~ spl8_177 ),
inference(avatar_split_clause,[],[f2155,f2134,f715,f274,f243,f206,f2157]) ).
fof(f2162,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| q(sK2(X0))
| ~ reachable(initial_world,X0)
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_178 ),
inference(resolution,[],[f2158,f207]) ).
fof(f2173,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| q(sK2(X0))
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_178 ),
inference(duplicate_literal_removal,[],[f2162]) ).
fof(f2175,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ sP5(X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_174
| ~ spl8_178 ),
inference(forward_subsumption_resolution,[],[f2173,f2104]) ).
fof(f2176,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ sP7(X0) )
| ~ spl8_22
| ~ spl8_27
| ~ spl8_174
| ~ spl8_178 ),
inference(forward_subsumption_resolution,[],[f2175,f275]) ).
fof(f2178,definition,
( spl8_179
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ sP7(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_179])],[avatar_definition]) ).
fof(f2179,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ sP7(X0) )
| ~ spl8_179 ),
inference(avatar_component_clause,[],[f2178]) ).
fof(f2180,plain,
( spl8_179
| ~ spl8_22
| ~ spl8_27
| ~ spl8_174
| ~ spl8_178 ),
inference(avatar_split_clause,[],[f2176,f2157,f2103,f274,f206,f2178]) ).
fof(f2181,plain,
( ~ sP7(initial_world)
| ~ spl8_179 ),
inference(resolution,[],[f2179,f14]) ).
fof(f2198,plain,
( $false
| ~ spl8_133
| ~ spl8_179 ),
inference(forward_subsumption_resolution,[],[f2181,f1612]) ).
fof(f2199,plain,
( ~ spl8_133
| ~ spl8_179 ),
inference(avatar_contradiction_clause,[],[f2198]) ).
fof(f2829,definition,
( spl8_218
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| sP7(X0)
| p(sK1(X0))
| ~ sP6(sK1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_218])],[avatar_definition]) ).
fof(f2830,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| sP7(X0)
| p(sK1(X0))
| ~ sP6(sK1(X0)) )
| ~ spl8_218 ),
inference(avatar_component_clause,[],[f2829]) ).
fof(f2831,plain,
( spl8_218
| ~ spl8_4
| ~ spl8_67 ),
inference(avatar_split_clause,[],[f744,f734,f61,f2829]) ).
fof(f2832,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| p(sK1(X0))
| ~ sP6(sK1(X0)) )
| ~ spl8_179
| ~ spl8_218 ),
inference(forward_subsumption_resolution,[],[f2830,f2179]) ).
fof(f2833,plain,
( ! [X0] :
( ~ reachable(initial_world,X0)
| ~ sP6(sK1(X0)) )
| ~ spl8_176
| ~ spl8_179
| ~ spl8_218 ),
inference(forward_subsumption_resolution,[],[f2832,f2131]) ).
fof(f2835,definition,
( spl8_219
<=> ! [X0] :
( ~ reachable(initial_world,X0)
| ~ sP6(sK1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl8_219])],[avatar_definition]) ).
fof(f2836,plain,
( ! [X0] :
( ~ sP6(sK1(X0))
| ~ reachable(initial_world,X0) )
| ~ spl8_219 ),
inference(avatar_component_clause,[],[f2835]) ).
fof(f2837,plain,
( spl8_219
| ~ spl8_176
| ~ spl8_179
| ~ spl8_218 ),
inference(avatar_split_clause,[],[f2833,f2829,f2178,f2130,f2835]) ).
fof(f2838,plain,
( ~ reachable(initial_world,initial_world)
| ~ spl8_168
| ~ spl8_219 ),
inference(resolution,[],[f2836,f2013]) ).
fof(f2840,plain,
( $false
| ~ spl8_168
| ~ spl8_219 ),
inference(forward_subsumption_resolution,[],[f2838,f14]) ).
fof(f2841,plain,
( ~ spl8_168
| ~ spl8_219 ),
inference(avatar_contradiction_clause,[],[f2840]) ).
cnf(s1,plain,
spl8_1,
inference(sat_conversion,[],[f43]) ).
cnf(s2,plain,
spl8_2,
inference(sat_conversion,[],[f49]) ).
cnf(s3,plain,
spl8_3,
inference(sat_conversion,[],[f55]) ).
cnf(s4,plain,
spl8_4,
inference(sat_conversion,[],[f63]) ).
cnf(s5,plain,
spl8_5,
inference(sat_conversion,[],[f70]) ).
cnf(s6,plain,
spl8_6,
inference(sat_conversion,[],[f74]) ).
cnf(s7,plain,
spl8_7,
inference(sat_conversion,[],[f78]) ).
cnf(s8,plain,
spl8_8,
inference(sat_conversion,[],[f82]) ).
cnf(s9,plain,
spl8_9,
inference(sat_conversion,[],[f86]) ).
cnf(s10,plain,
spl8_10,
inference(sat_conversion,[],[f90]) ).
cnf(s11,plain,
spl8_11,
inference(sat_conversion,[],[f94]) ).
cnf(s12,plain,
spl8_12,
inference(sat_conversion,[],[f98]) ).
cnf(s13,plain,
spl8_13,
inference(sat_conversion,[],[f102]) ).
cnf(s14,plain,
spl8_14,
inference(sat_conversion,[],[f106]) ).
cnf(s15,plain,
spl8_15,
inference(sat_conversion,[],[f110]) ).
cnf(s16,plain,
spl8_16,
inference(sat_conversion,[],[f114]) ).
cnf(s17,plain,
spl8_17,
inference(sat_conversion,[],[f118]) ).
cnf(s18,plain,
spl8_18,
inference(sat_conversion,[],[f122]) ).
cnf(s19,plain,
spl8_19,
inference(sat_conversion,[],[f126]) ).
cnf(s20,plain,
spl8_20,
inference(sat_conversion,[],[f130]) ).
cnf(s22,plain,
spl8_22,
inference(sat_conversion,[],[f208]) ).
cnf(s24,plain,
( ~ spl8_2
| ~ spl8_6
| ~ spl8_8
| ~ spl8_13
| ~ spl8_16
| ~ spl8_22
| spl8_24 ),
inference(sat_conversion,[],[f245]) ).
cnf(s26,plain,
( ~ spl8_2
| ~ spl8_15
| ~ spl8_18
| spl8_26 ),
inference(sat_conversion,[],[f262]) ).
cnf(s27,plain,
( ~ spl8_2
| ~ spl8_5
| ~ spl8_9
| ~ spl8_26
| spl8_27 ),
inference(sat_conversion,[],[f276]) ).
cnf(s31,plain,
( ~ spl8_3
| spl8_31 ),
inference(sat_conversion,[],[f298]) ).
cnf(s35,plain,
( ~ spl8_11
| ~ spl8_31
| spl8_35 ),
inference(sat_conversion,[],[f337]) ).
cnf(s39,plain,
( ~ spl8_17
| ~ spl8_31
| spl8_39 ),
inference(sat_conversion,[],[f365]) ).
cnf(s48,plain,
( ~ spl8_1
| ~ spl8_13
| ~ spl8_19
| spl8_48 ),
inference(sat_conversion,[],[f487]) ).
cnf(s51,plain,
( ~ spl8_1
| ~ spl8_16
| ~ spl8_20
| spl8_51 ),
inference(sat_conversion,[],[f560]) ).
cnf(s63,plain,
( ~ spl8_4
| ~ spl8_12
| ~ spl8_17
| spl8_64 ),
inference(sat_conversion,[],[f712]) ).
cnf(s64,plain,
( ~ spl8_48
| ~ spl8_64
| spl8_65 ),
inference(sat_conversion,[],[f717]) ).
cnf(s65,plain,
( ~ spl8_4
| ~ spl8_15
| ~ spl8_18
| spl8_66 ),
inference(sat_conversion,[],[f731]) ).
cnf(s66,plain,
( ~ spl8_51
| ~ spl8_66
| spl8_67 ),
inference(sat_conversion,[],[f736]) ).
cnf(s67,plain,
( ~ spl8_1
| spl8_68 ),
inference(sat_conversion,[],[f750]) ).
cnf(s68,plain,
( ~ spl8_13
| ~ spl8_19
| ~ spl8_68
| spl8_69 ),
inference(sat_conversion,[],[f800]) ).
cnf(s91,plain,
( ~ spl8_1
| ~ spl8_8
| ~ spl8_14
| spl8_92 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s93,plain,
( ~ spl8_1
| ~ spl8_6
| ~ spl8_10
| spl8_94 ),
inference(sat_conversion,[],[f1117]) ).
cnf(s104,plain,
( ~ spl8_4
| ~ spl8_7
| ~ spl8_11
| spl8_105 ),
inference(sat_conversion,[],[f1225]) ).
cnf(s105,plain,
( ~ spl8_92
| ~ spl8_105
| spl8_106 ),
inference(sat_conversion,[],[f1230]) ).
cnf(s108,plain,
( ~ spl8_8
| ~ spl8_14
| ~ spl8_68
| ~ spl8_69
| spl8_109 ),
inference(sat_conversion,[],[f1243]) ).
cnf(s109,plain,
( ~ spl8_3
| ~ spl8_109
| spl8_110 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s113,plain,
( ~ spl8_4
| ~ spl8_5
| ~ spl8_9
| spl8_114 ),
inference(sat_conversion,[],[f1292]) ).
cnf(s114,plain,
( ~ spl8_94
| ~ spl8_114
| spl8_115 ),
inference(sat_conversion,[],[f1297]) ).
cnf(s135,plain,
( ~ spl8_35
| ~ spl8_39
| ~ spl8_68
| spl8_137 ),
inference(sat_conversion,[],[f1630]) ).
cnf(s136,plain,
( ~ spl8_3
| ~ spl8_137
| spl8_138 ),
inference(sat_conversion,[],[f1640]) ).
cnf(s137,plain,
( ~ spl8_110
| ~ spl8_138
| spl8_139 ),
inference(sat_conversion,[],[f1695]) ).
cnf(s166,plain,
( ~ spl8_31
| ~ spl8_67
| spl8_160 ),
inference(sat_conversion,[],[f1908]) ).
cnf(s176,plain,
( spl8_133
| ~ spl8_139
| ~ spl8_160
| spl8_168 ),
inference(sat_conversion,[],[f2014]) ).
cnf(s179,plain,
( ~ spl8_17
| spl8_171 ),
inference(sat_conversion,[],[f2027]) ).
cnf(s180,plain,
( ~ spl8_11
| ~ spl8_22
| ~ spl8_27
| ~ spl8_171
| spl8_172 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s181,plain,
( ~ spl8_14
| ~ spl8_106
| ~ spl8_172
| spl8_173 ),
inference(sat_conversion,[],[f2082]) ).
cnf(s182,plain,
( ~ spl8_8
| ~ spl8_22
| ~ spl8_27
| ~ spl8_106
| ~ spl8_173
| spl8_174 ),
inference(sat_conversion,[],[f2105]) ).
cnf(s183,plain,
( ~ spl8_10
| ~ spl8_115
| ~ spl8_172
| spl8_175 ),
inference(sat_conversion,[],[f2109]) ).
cnf(s184,plain,
( ~ spl8_6
| ~ spl8_22
| ~ spl8_27
| ~ spl8_115
| ~ spl8_175
| spl8_176 ),
inference(sat_conversion,[],[f2132]) ).
cnf(s185,plain,
( ~ spl8_19
| ~ spl8_65
| ~ spl8_172
| spl8_177 ),
inference(sat_conversion,[],[f2136]) ).
cnf(s186,plain,
( ~ spl8_22
| ~ spl8_24
| ~ spl8_27
| ~ spl8_65
| ~ spl8_177
| spl8_178 ),
inference(sat_conversion,[],[f2159]) ).
cnf(s187,plain,
( ~ spl8_22
| ~ spl8_27
| ~ spl8_174
| ~ spl8_178
| spl8_179 ),
inference(sat_conversion,[],[f2180]) ).
cnf(s188,plain,
( ~ spl8_133
| ~ spl8_179 ),
inference(sat_conversion,[],[f2199]) ).
cnf(s228,plain,
( ~ spl8_4
| ~ spl8_67
| spl8_218 ),
inference(sat_conversion,[],[f2831]) ).
cnf(s229,plain,
( ~ spl8_176
| ~ spl8_179
| ~ spl8_218
| spl8_219 ),
inference(sat_conversion,[],[f2837]) ).
cnf(s230,plain,
( ~ spl8_168
| ~ spl8_219 ),
inference(sat_conversion,[],[f2841]) ).
cnf(s233,plain,
spl8_171,
inference(rat,[],[s179,s17]) ).
cnf(s236,plain,
spl8_114,
inference(rat,[],[s113,s5,s9,s4]) ).
cnf(s238,plain,
spl8_105,
inference(rat,[],[s104,s7,s11,s4]) ).
cnf(s239,plain,
spl8_66,
inference(rat,[],[s65,s15,s18,s4]) ).
cnf(s240,plain,
spl8_64,
inference(rat,[],[s63,s12,s17,s4]) ).
cnf(s242,plain,
spl8_31,
inference(rat,[],[s31,s3]) ).
cnf(s247,plain,
spl8_39,
inference(rat,[],[s39,s17,s242]) ).
cnf(s250,plain,
spl8_35,
inference(rat,[],[s35,s11,s242]) ).
cnf(s270,plain,
spl8_26,
inference(rat,[],[s26,s15,s18,s2]) ).
cnf(s272,plain,
spl8_24,
inference(rat,[],[s24,s6,s22,s16,s13,s8,s2]) ).
cnf(s275,plain,
spl8_27,
inference(rat,[],[s27,s2,s5,s9,s270]) ).
cnf(s288,plain,
spl8_172,
inference(rat,[],[s180,s11,s233,s22,s275]) ).
cnf(s301,plain,
spl8_94,
inference(rat,[],[s93,s6,s10,s1]) ).
cnf(s302,plain,
spl8_92,
inference(rat,[],[s91,s8,s14,s1]) ).
cnf(s303,plain,
spl8_68,
inference(rat,[],[s67,s1]) ).
cnf(s307,plain,
spl8_51,
inference(rat,[],[s51,s16,s20,s1]) ).
cnf(s308,plain,
spl8_48,
inference(rat,[],[s48,s13,s19,s1]) ).
cnf(s313,plain,
spl8_115,
inference(rat,[],[s114,s236,s301]) ).
cnf(s314,plain,
spl8_106,
inference(rat,[],[s105,s238,s302]) ).
cnf(s316,plain,
spl8_69,
inference(rat,[],[s68,s13,s19,s303]) ).
cnf(s321,plain,
spl8_137,
inference(rat,[],[s135,s250,s247,s303]) ).
cnf(s323,plain,
spl8_67,
inference(rat,[],[s66,s239,s307]) ).
cnf(s324,plain,
spl8_65,
inference(rat,[],[s64,s240,s308]) ).
cnf(s328,plain,
spl8_175,
inference(rat,[],[s183,s288,s10,s313]) ).
cnf(s330,plain,
spl8_173,
inference(rat,[],[s181,s288,s14,s314]) ).
cnf(s333,plain,
spl8_109,
inference(rat,[],[s108,s303,s8,s14,s316]) ).
cnf(s338,plain,
spl8_138,
inference(rat,[],[s136,s3,s321]) ).
cnf(s339,plain,
spl8_218,
inference(rat,[],[s228,s4,s323]) ).
cnf(s341,plain,
spl8_160,
inference(rat,[],[s166,s242,s323]) ).
cnf(s344,plain,
spl8_177,
inference(rat,[],[s185,s288,s19,s324]) ).
cnf(s351,plain,
spl8_176,
inference(rat,[],[s184,s313,s275,s6,s22,s328]) ).
cnf(s354,plain,
spl8_174,
inference(rat,[],[s182,s314,s275,s8,s22,s330]) ).
cnf(s355,plain,
spl8_110,
inference(rat,[],[s109,s3,s333]) ).
cnf(s370,plain,
spl8_178,
inference(rat,[],[s186,s324,s275,s272,s22,s344]) ).
cnf(s376,plain,
spl8_139,
inference(rat,[],[s137,s338,s355]) ).
cnf(s385,plain,
spl8_179,
inference(rat,[],[s187,s354,s275,s22,s370]) ).
cnf(s395,plain,
spl8_219,
inference(rat,[],[s229,s351,s339,s385]) ).
cnf(s401,plain,
~ spl8_133,
inference(rat,[],[s188,s385]) ).
cnf(s405,plain,
~ spl8_168,
inference(rat,[],[s230,s395]) ).
cnf(s409,plain,
$false,
inference(rat,[],[s176,s376,s341,s405,s401]) ).
fof(f2842,plain,
$false,
inference(avatar_sat_refutation,[],[s409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN548+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n006.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 16:27:51 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.39/1.95 % (4093807)Detected formulas, will run a generic FOF schedule.
% 7.39/1.95 % (4093816)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1731154981:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.39/1.95 % (4093816)Instruction limit reached!
% 7.39/1.95 % (4093816)------------------------------
% 7.39/1.95 % (4093816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093816)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093816)Termination reason: Instruction limit
% 7.39/1.95 % (4093816)Termination phase: Saturation
% 7.39/1.95 % (4093816)Time elapsed: 0.031 s
% 7.39/1.95 % (4093816)Peak memory usage: 88 MB
% 7.39/1.95 % (4093816)Instructions burned: 121 (million)
% 7.39/1.95 % (4093813)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1524156436:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.39/1.95 % (4093814)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3481032482:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.39/1.95 % (4093817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1290129677:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.39/1.95 % (4093815)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1745151067:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.39/1.95 % (4093812)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3167797317:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.39/1.95 % (4093818)dis-21_1_sil=8000:lcm=predicate:random_seed=778879483:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 7.39/1.95 % (4093815)Instruction limit reached!
% 7.39/1.95 % (4093815)------------------------------
% 7.39/1.95 % (4093815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093815)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093815)Termination reason: Instruction limit
% 7.39/1.95 % (4093815)Termination phase: Saturation
% 7.39/1.95 % (4093815)Time elapsed: 0.047 s
% 7.39/1.95 % (4093815)Peak memory usage: 88 MB
% 7.39/1.95 % (4093815)Instructions burned: 111 (million)
% 7.39/1.95 % (4093818)Instruction limit reached!
% 7.39/1.95 % (4093818)------------------------------
% 7.39/1.95 % (4093818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093818)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093818)Termination reason: Instruction limit
% 7.39/1.95 % (4093818)Termination phase: Saturation
% 7.39/1.95 % (4093818)Time elapsed: 0.057 s
% 7.39/1.95 % (4093818)Peak memory usage: 88 MB
% 7.39/1.95 % (4093818)Instructions burned: 131 (million)
% 7.39/1.95 % (4093817)Instruction limit reached!
% 7.39/1.95 % (4093817)------------------------------
% 7.39/1.95 % (4093817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093817)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093817)Termination reason: Instruction limit
% 7.39/1.95 % (4093817)Termination phase: Saturation
% 7.39/1.95 % (4093817)Time elapsed: 0.069 s
% 7.39/1.95 % (4093817)Peak memory usage: 88 MB
% 7.39/1.95 % (4093817)Instructions burned: 139 (million)
% 7.39/1.95 % (4093826)lrs+10_1_sil=8000:sp=occurrence:random_seed=414205106:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.39/1.95 % (4093827)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1703957141:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.39/1.95 % (4093828)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1084707394:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.39/1.95 % (4093826)Instruction limit reached!
% 7.39/1.95 % (4093826)------------------------------
% 7.39/1.95 % (4093826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093826)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093826)Termination reason: Instruction limit
% 7.39/1.95 % (4093826)Termination phase: Saturation
% 7.39/1.95 % (4093826)Time elapsed: 0.084 s
% 7.39/1.95 % (4093826)Peak memory usage: 90 MB
% 7.39/1.95 % (4093826)Instructions burned: 286 (million)
% 7.39/1.95 % (4093829)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2150055608:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.39/1.95 % (4093827)Instruction limit reached!
% 7.39/1.95 % (4093827)------------------------------
% 7.39/1.95 % (4093827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093827)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093827)Termination reason: Instruction limit
% 7.39/1.95 % (4093827)Termination phase: Saturation
% 7.39/1.95 % (4093827)Time elapsed: 0.077 s
% 7.39/1.95 % (4093827)Peak memory usage: 88 MB
% 7.39/1.95 % (4093827)Instructions burned: 158 (million)
% 7.39/1.95 % (4093833)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2488524410:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.39/1.95 % (4093829)Instruction limit reached!
% 7.39/1.95 % (4093829)------------------------------
% 7.39/1.95 % (4093829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093829)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093829)Termination reason: Instruction limit
% 7.39/1.95 % (4093829)Termination phase: Saturation
% 7.39/1.95 % (4093829)Time elapsed: 0.120 s
% 7.39/1.95 % (4093829)Peak memory usage: 88 MB
% 7.39/1.95 % (4093829)Instructions burned: 249 (million)
% 7.39/1.95 % (4093828)Instruction limit reached!
% 7.39/1.95 % (4093828)------------------------------
% 7.39/1.95 % (4093828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093828)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093828)Termination reason: Instruction limit
% 7.39/1.95 % (4093828)Termination phase: Saturation
% 7.39/1.95 % (4093828)Time elapsed: 0.156 s
% 7.39/1.95 % (4093828)Peak memory usage: 89 MB
% 7.39/1.95 % (4093828)Instructions burned: 327 (million)
% 7.39/1.95 % (4093833)Instruction limit reached!
% 7.39/1.95 % (4093833)------------------------------
% 7.39/1.95 % (4093833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093833)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093833)Termination reason: Instruction limit
% 7.39/1.95 % (4093833)Termination phase: Saturation
% 7.39/1.95 % (4093833)Time elapsed: 0.075 s
% 7.39/1.95 % (4093833)Peak memory usage: 88 MB
% 7.39/1.95 % (4093833)Instructions burned: 298 (million)
% 7.39/1.95 % (4093835)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1317302281:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.39/1.95 % (4093837)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1150982268:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.39/1.95 % (4093838)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=805570997:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.39/1.95 % (4093839)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3593109111:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 7.39/1.95 % (4093837)Instruction limit reached!
% 7.39/1.95 % (4093837)------------------------------
% 7.39/1.95 % (4093837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093837)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093837)Termination reason: Instruction limit
% 7.39/1.95 % (4093837)Termination phase: Saturation
% 7.39/1.95 % (4093837)Time elapsed: 0.068 s
% 7.39/1.95 % (4093837)Peak memory usage: 89 MB
% 7.39/1.95 % (4093837)Instructions burned: 113 (million)
% 7.39/1.95 % (4093839)Instruction limit reached!
% 7.39/1.95 % (4093839)------------------------------
% 7.39/1.95 % (4093839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093839)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093839)Termination reason: Instruction limit
% 7.39/1.95 % (4093839)Termination phase: Saturation
% 7.39/1.95 % (4093839)Time elapsed: 0.031 s
% 7.39/1.95 % (4093839)Peak memory usage: 88 MB
% 7.39/1.95 % (4093839)Instructions burned: 114 (million)
% 7.39/1.95 % (4093838)Instruction limit reached!
% 7.39/1.95 % (4093838)------------------------------
% 7.39/1.95 % (4093838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093838)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093838)Termination reason: Instruction limit
% 7.39/1.95 % (4093838)Termination phase: Saturation
% 7.39/1.95 % (4093838)Time elapsed: 0.068 s
% 7.39/1.95 % (4093838)Peak memory usage: 89 MB
% 7.39/1.95 % (4093838)Instructions burned: 128 (million)
% 7.39/1.95 % (4093845)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=222056502:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.39/1.95 % (4093845)Refutation not found, incomplete strategy
% 7.39/1.95 % (4093845)------------------------------
% 7.39/1.95 % (4093845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093845)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093845)Termination reason: Refutation not found, incomplete strategy
% 7.39/1.95 % (4093845)Time elapsed: 0.001 s
% 7.39/1.95 % (4093845)Peak memory usage: 88 MB
% 7.39/1.95 % (4093845)Instructions burned: 1 (million)
% 7.39/1.95 % (4093844)lrs+10_1_sil=8000:sp=occurrence:random_seed=628056376:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.39/1.95 % (4093846)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1044739225:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 7.39/1.95 % (4093845)------------------------------
% 7.39/1.95 % (4093845)------------------------------
% 7.39/1.95 % (4093814)First to succeed.
% 7.39/1.95 % (4093814)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4093807"
% 7.39/1.95 % (4093850)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4174921159:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 7.39/1.95 % (4093850)Instruction limit reached!
% 7.39/1.95 % (4093850)------------------------------
% 7.39/1.95 % (4093850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.95 % (4093850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.95 % (4093850)CaDiCaL version: 2.1.3
% 7.39/1.95 % (4093850)Termination reason: Instruction limit
% 7.39/1.95 % (4093850)Termination phase: Saturation
% 7.39/1.95 % (4093850)Time elapsed: 0.038 s
% 7.39/1.95 % (4093850)Peak memory usage: 88 MB
% 7.39/1.95 % (4093850)Instructions burned: 135 (million)
% 7.39/1.95 % (4093852)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3386741886:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 7.39/1.95 % (4093814)Refutation found. Thanks to Tanya!
% 7.39/1.95 % SZS status Theorem for theBenchmark
% 7.39/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 9.89/2.15 % (4093814)------------------------------
% 9.89/2.15 % (4093814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.89/2.15 % (4093814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/2.15 % (4093814)CaDiCaL version: 2.1.3
% 9.89/2.15 % (4093814)Termination reason: Refutation
% 9.89/2.15 % (4093814)Time elapsed: 0.879 s
% 9.89/2.15 % (4093814)Peak memory usage: 130 MB
% 9.89/2.15 % (4093814)Instructions burned: 1250 (million)
% 9.89/2.15 % (4093814)------------------------------
% 9.89/2.15 % (4093814)------------------------------
% 9.89/2.15 % (4093807)Success in time 1.308 s
% 9.89/2.15 % Vampire exiting
%------------------------------------------------------------------------------