%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n013.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 02:17:34 PM UTC 2026
% Result : Theorem 0.19s 0.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 24
% Syntax : Number of formulae : 252 ( 14 unt; 21 def)
% Number of atoms : 808 ( 0 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 962 ( 406 ~; 478 |; 36 &)
% ( 23 <=>; 16 =>; 0 <=; 3 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 25 ( 24 usr; 21 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 141 ( 0 sgn 123 !; 18 ?)
% 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,definition,
! [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) ) ) )
| ~ sP0(X1) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ? [X1] :
( sP0(X1)
& reachable(X0,X1) ) ),
inference(definition_folding,[],[f9,f10]) ).
fof(f12,plain,
! [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) ) ) )
| ~ sP0(X1) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
! [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) ) ) )
| ~ sP0(X1) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0] :
( ( ( ( ? [X1] :
( ~ p(X1)
& reachable(X0,X1) )
& ? [X2] :
( ~ q(X2)
& reachable(X0,X2) ) )
| ? [X3] :
( ~ p(X3)
& ? [X4] :
( ~ q(X4)
& reachable(X3,X4) )
& reachable(X0,X3) ) )
& ( ! [X5] :
( p(X5)
| ~ reachable(X0,X5) )
| ! [X6] :
( q(X6)
| ~ reachable(X0,X6) )
| ! [X7] :
( p(X7)
| ! [X8] :
( q(X8)
| ~ reachable(X7,X8) )
| ~ reachable(X0,X7) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ( ( ( ~ p(sK1(X0))
& reachable(X0,sK1(X0))
& ~ q(sK2(X0))
& reachable(X0,sK2(X0)) )
| ( ~ p(sK3(X0))
& ~ q(sK4(X0))
& reachable(sK3(X0),sK4(X0))
& reachable(X0,sK3(X0)) ) )
& ( ! [X5] :
( p(X5)
| ~ reachable(X0,X5) )
| ! [X6] :
( q(X6)
| ~ reachable(X0,X6) )
| ! [X7] :
( p(X7)
| ! [X8] :
( q(X8)
| ~ reachable(X7,X8) )
| ~ reachable(X0,X7) ) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0)),skolemize(X4,sK4(X0))],[f14]) ).
fof(f16,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| ( sP0(sK5(X0))
& reachable(X0,sK5(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f11]) ).
fof(f17,plain,
! [X0] : reachable(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ reachable(X0,X1)
| reachable(X0,X2)
| ~ reachable(X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
! [X0,X8,X6,X7,X5] :
( ~ sP0(X0)
| ~ reachable(X0,X5)
| q(X6)
| ~ reachable(X0,X6)
| p(X7)
| q(X8)
| ~ reachable(X7,X8)
| ~ reachable(X0,X7)
| p(X5) ),
inference(cnf_transformation,[],[f15]) ).
fof(f20,plain,
! [X0] :
( ~ sP0(X0)
| reachable(X0,sK3(X0))
| reachable(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f21,plain,
! [X0] :
( ~ sP0(X0)
| reachable(sK3(X0),sK4(X0))
| reachable(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0] :
( ~ sP0(X0)
| ~ q(sK4(X0))
| reachable(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0] :
( ~ sP0(X0)
| ~ p(sK3(X0))
| reachable(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0] :
( ~ sP0(X0)
| reachable(X0,sK3(X0))
| ~ q(sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f25,plain,
! [X0] :
( ~ sP0(X0)
| reachable(sK3(X0),sK4(X0))
| ~ q(sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f26,plain,
! [X0] :
( ~ sP0(X0)
| ~ q(sK4(X0))
| ~ q(sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
! [X0] :
( ~ sP0(X0)
| ~ p(sK3(X0))
| ~ q(sK2(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
! [X0] :
( ~ sP0(X0)
| reachable(X0,sK3(X0))
| reachable(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X0] :
( ~ sP0(X0)
| reachable(sK3(X0),sK4(X0))
| reachable(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X0] :
( ~ sP0(X0)
| ~ q(sK4(X0))
| reachable(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f31,plain,
! [X0] :
( ~ sP0(X0)
| ~ p(sK3(X0))
| reachable(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f32,plain,
! [X0] :
( ~ sP0(X0)
| reachable(X0,sK3(X0))
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
! [X0] :
( ~ sP0(X0)
| reachable(sK3(X0),sK4(X0))
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X0] :
( ~ sP0(X0)
| ~ q(sK4(X0))
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0] :
( ~ sP0(X0)
| ~ p(sK3(X0))
| ~ p(sK1(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f36,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| reachable(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X0] :
( ~ reachable(initial_world,X0)
| sP0(sK5(X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f38,plain,
reachable(initial_world,sK5(initial_world)),
inference(resolution,[],[f17,f36]) ).
fof(f39,plain,
sP0(sK5(initial_world)),
inference(resolution,[],[f17,f37]) ).
fof(f40,plain,
( ~ q(sK4(sK5(initial_world)))
| ~ q(sK2(sK5(initial_world))) ),
inference(resolution,[],[f39,f26]) ).
fof(f42,definition,
( spl6_1
<=> q(sK2(sK5(initial_world))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f43,plain,
( q(sK2(sK5(initial_world)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f44,plain,
( ~ q(sK2(sK5(initial_world)))
| spl6_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f46,definition,
( spl6_2
<=> q(sK4(sK5(initial_world))) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f47,plain,
( q(sK4(sK5(initial_world)))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f48,plain,
( ~ q(sK4(sK5(initial_world)))
| spl6_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f49,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f40,f46,f42]) ).
fof(f50,plain,
( ~ p(sK3(sK5(initial_world)))
| ~ q(sK2(sK5(initial_world))) ),
inference(resolution,[],[f27,f39]) ).
fof(f53,plain,
( ~ q(sK4(sK5(initial_world)))
| ~ p(sK1(sK5(initial_world))) ),
inference(resolution,[],[f34,f39]) ).
fof(f55,definition,
( spl6_3
<=> p(sK1(sK5(initial_world))) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f56,plain,
( p(sK1(sK5(initial_world)))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f57,plain,
( ~ p(sK1(sK5(initial_world)))
| spl6_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,plain,
( ~ spl6_3
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f53,f46,f55]) ).
fof(f59,plain,
( ~ p(sK3(sK5(initial_world)))
| ~ p(sK1(sK5(initial_world))) ),
inference(resolution,[],[f35,f39]) ).
fof(f61,definition,
( spl6_4
<=> p(sK3(sK5(initial_world))) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f62,plain,
( p(sK3(sK5(initial_world)))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f63,plain,
( ~ p(sK3(sK5(initial_world)))
| spl6_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f59,f61,f55]) ).
fof(f66,plain,
! [X0] :
( ~ reachable(sK5(initial_world),X0)
| reachable(initial_world,X0) ),
inference(resolution,[],[f18,f38]) ).
fof(f91,plain,
( ~ q(sK4(sK5(initial_world)))
| reachable(sK5(initial_world),sK2(sK5(initial_world))) ),
inference(resolution,[],[f22,f39]) ).
fof(f98,plain,
( ~ p(sK3(sK5(initial_world)))
| reachable(sK5(initial_world),sK2(sK5(initial_world))) ),
inference(resolution,[],[f23,f39]) ).
fof(f102,definition,
( spl6_10
<=> reachable(sK5(initial_world),sK2(sK5(initial_world))) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
fof(f103,plain,
( ~ reachable(sK5(initial_world),sK2(sK5(initial_world)))
| spl6_10 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( reachable(sK5(initial_world),sK2(sK5(initial_world)))
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl6_10
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f98,f61,f102]) ).
fof(f106,plain,
( reachable(sK5(initial_world),sK3(sK5(initial_world)))
| ~ q(sK2(sK5(initial_world))) ),
inference(resolution,[],[f24,f39]) ).
fof(f108,plain,
( ~ q(sK4(sK5(initial_world)))
| reachable(sK5(initial_world),sK1(sK5(initial_world))) ),
inference(resolution,[],[f30,f39]) ).
fof(f110,plain,
( ~ p(sK3(sK5(initial_world)))
| reachable(sK5(initial_world),sK1(sK5(initial_world))) ),
inference(resolution,[],[f31,f39]) ).
fof(f112,plain,
( reachable(sK5(initial_world),sK3(sK5(initial_world)))
| ~ p(sK1(sK5(initial_world))) ),
inference(resolution,[],[f32,f39]) ).
fof(f114,plain,
( reachable(sK5(initial_world),sK3(sK5(initial_world)))
| reachable(sK5(initial_world),sK2(sK5(initial_world))) ),
inference(resolution,[],[f20,f39]) ).
fof(f122,definition,
( spl6_12
<=> reachable(sK5(initial_world),sK3(sK5(initial_world))) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
fof(f123,plain,
( ~ reachable(sK5(initial_world),sK3(sK5(initial_world)))
| spl6_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( reachable(sK5(initial_world),sK3(sK5(initial_world)))
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl6_10
| spl6_12 ),
inference(avatar_split_clause,[],[f114,f122,f102]) ).
fof(f127,plain,
( reachable(sK3(sK5(initial_world)),sK4(sK5(initial_world)))
| ~ q(sK2(sK5(initial_world))) ),
inference(resolution,[],[f25,f39]) ).
fof(f130,plain,
( reachable(sK5(initial_world),sK3(sK5(initial_world)))
| reachable(sK5(initial_world),sK1(sK5(initial_world))) ),
inference(resolution,[],[f28,f39]) ).
fof(f138,definition,
( spl6_14
<=> reachable(sK5(initial_world),sK1(sK5(initial_world))) ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
fof(f139,plain,
( ~ reachable(sK5(initial_world),sK1(sK5(initial_world)))
| spl6_14 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f140,plain,
( reachable(sK5(initial_world),sK1(sK5(initial_world)))
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
( spl6_14
| spl6_12 ),
inference(avatar_split_clause,[],[f130,f122,f138]) ).
fof(f142,plain,
( ! [X0] :
( ~ reachable(sK3(sK5(initial_world)),X0)
| reachable(sK5(initial_world),X0) )
| ~ spl6_12 ),
inference(resolution,[],[f124,f18]) ).
fof(f143,plain,
( reachable(sK3(sK5(initial_world)),sK4(sK5(initial_world)))
| ~ p(sK1(sK5(initial_world))) ),
inference(resolution,[],[f33,f39]) ).
fof(f149,plain,
( reachable(sK3(sK5(initial_world)),sK4(sK5(initial_world)))
| reachable(sK5(initial_world),sK2(sK5(initial_world))) ),
inference(resolution,[],[f21,f39]) ).
fof(f154,plain,
( reachable(sK3(sK5(initial_world)),sK4(sK5(initial_world)))
| reachable(sK5(initial_world),sK1(sK5(initial_world))) ),
inference(resolution,[],[f29,f39]) ).
fof(f162,definition,
( spl6_16
<=> reachable(sK3(sK5(initial_world)),sK4(sK5(initial_world))) ),
introduced(definition,[new_symbols(definition,[spl6_16])],[avatar_definition]) ).
fof(f163,plain,
( ~ reachable(sK3(sK5(initial_world)),sK4(sK5(initial_world)))
| spl6_16 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( reachable(sK3(sK5(initial_world)),sK4(sK5(initial_world)))
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl6_14
| spl6_16 ),
inference(avatar_split_clause,[],[f154,f162,f138]) ).
fof(f169,plain,
! [X2,X3,X0,X1] :
( ~ reachable(sK5(initial_world),X0)
| q(X1)
| ~ reachable(sK5(initial_world),X1)
| p(X2)
| q(X3)
| ~ reachable(X2,X3)
| ~ reachable(sK5(initial_world),X2)
| p(X0) ),
inference(resolution,[],[f19,f39]) ).
fof(f182,definition,
( spl6_20
<=> ! [X2,X3] :
( p(X2)
| ~ reachable(sK5(initial_world),X2)
| ~ reachable(X2,X3)
| q(X3) ) ),
introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).
fof(f183,plain,
( ! [X2,X3] :
( ~ reachable(sK5(initial_world),X2)
| p(X2)
| ~ reachable(X2,X3)
| q(X3) )
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f185,definition,
( spl6_21
<=> ! [X1] :
( q(X1)
| ~ reachable(sK5(initial_world),X1) ) ),
introduced(definition,[new_symbols(definition,[spl6_21])],[avatar_definition]) ).
fof(f186,plain,
( ! [X1] :
( ~ reachable(sK5(initial_world),X1)
| q(X1) )
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f188,definition,
( spl6_22
<=> ! [X0] :
( ~ reachable(sK5(initial_world),X0)
| p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_22])],[avatar_definition]) ).
fof(f189,plain,
( ! [X0] :
( ~ reachable(sK5(initial_world),X0)
| p(X0) )
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f190,plain,
( spl6_20
| spl6_21
| spl6_22 ),
inference(avatar_split_clause,[],[f169,f188,f185,f182]) ).
fof(f194,plain,
( reachable(initial_world,sK1(sK5(initial_world)))
| ~ spl6_14 ),
inference(resolution,[],[f140,f66]) ).
fof(f197,plain,
( sP0(sK5(sK1(sK5(initial_world))))
| ~ spl6_14 ),
inference(resolution,[],[f194,f37]) ).
fof(f199,plain,
( ! [X0] :
( p(sK1(sK5(initial_world)))
| ~ reachable(sK1(sK5(initial_world)),X0)
| q(X0) )
| ~ spl6_14
| ~ spl6_20 ),
inference(resolution,[],[f183,f140]) ).
fof(f201,plain,
( ! [X0] :
( p(sK3(sK5(initial_world)))
| ~ reachable(sK3(sK5(initial_world)),X0)
| q(X0) )
| ~ spl6_12
| ~ spl6_20 ),
inference(resolution,[],[f183,f124]) ).
fof(f214,plain,
( ! [X0] :
( ~ reachable(sK3(sK5(initial_world)),X0)
| q(X0) )
| spl6_4
| ~ spl6_12
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f201,f63]) ).
fof(f223,plain,
( ! [X0] :
( ~ reachable(sK1(sK5(initial_world)),X0)
| q(X0) )
| spl6_3
| ~ spl6_14
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f199,f57]) ).
fof(f224,plain,
( reachable(sK3(sK5(initial_world)),sK4(sK5(initial_world)))
| spl6_10 ),
inference(forward_subsumption_resolution,[],[f149,f103]) ).
fof(f225,plain,
( spl6_16
| spl6_10 ),
inference(avatar_split_clause,[],[f224,f102,f162]) ).
fof(f309,plain,
( q(sK2(sK5(initial_world)))
| ~ spl6_10
| ~ spl6_21 ),
inference(resolution,[],[f186,f104]) ).
fof(f313,plain,
( $false
| spl6_1
| ~ spl6_10
| ~ spl6_21 ),
inference(forward_subsumption_resolution,[],[f309,f44]) ).
fof(f314,plain,
( spl6_1
| ~ spl6_10
| ~ spl6_21 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f315,plain,
( reachable(sK3(sK5(initial_world)),sK4(sK5(initial_world)))
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f127,f43]) ).
fof(f316,plain,
( spl6_16
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f315,f42,f162]) ).
fof(f394,plain,
( ! [X2,X3,X0,X1] :
( ~ reachable(sK5(sK1(sK5(initial_world))),X0)
| q(X1)
| ~ reachable(sK5(sK1(sK5(initial_world))),X1)
| p(X2)
| q(X3)
| ~ reachable(X2,X3)
| ~ reachable(sK5(sK1(sK5(initial_world))),X2)
| p(X0) )
| ~ spl6_14 ),
inference(resolution,[],[f197,f19]) ).
fof(f395,plain,
( reachable(sK5(sK1(sK5(initial_world))),sK3(sK5(sK1(sK5(initial_world)))))
| reachable(sK5(sK1(sK5(initial_world))),sK2(sK5(sK1(sK5(initial_world)))))
| ~ spl6_14 ),
inference(resolution,[],[f197,f20]) ).
fof(f396,plain,
( reachable(sK3(sK5(sK1(sK5(initial_world)))),sK4(sK5(sK1(sK5(initial_world)))))
| reachable(sK5(sK1(sK5(initial_world))),sK2(sK5(sK1(sK5(initial_world)))))
| ~ spl6_14 ),
inference(resolution,[],[f197,f21]) ).
fof(f397,plain,
( ~ q(sK4(sK5(sK1(sK5(initial_world)))))
| reachable(sK5(sK1(sK5(initial_world))),sK2(sK5(sK1(sK5(initial_world)))))
| ~ spl6_14 ),
inference(resolution,[],[f197,f22]) ).
fof(f398,plain,
( ~ p(sK3(sK5(sK1(sK5(initial_world)))))
| reachable(sK5(sK1(sK5(initial_world))),sK2(sK5(sK1(sK5(initial_world)))))
| ~ spl6_14 ),
inference(resolution,[],[f197,f23]) ).
fof(f399,plain,
( reachable(sK5(sK1(sK5(initial_world))),sK3(sK5(sK1(sK5(initial_world)))))
| ~ q(sK2(sK5(sK1(sK5(initial_world)))))
| ~ spl6_14 ),
inference(resolution,[],[f197,f24]) ).
fof(f400,plain,
( reachable(sK3(sK5(sK1(sK5(initial_world)))),sK4(sK5(sK1(sK5(initial_world)))))
| ~ q(sK2(sK5(sK1(sK5(initial_world)))))
| ~ spl6_14 ),
inference(resolution,[],[f197,f25]) ).
fof(f401,plain,
( ~ q(sK4(sK5(sK1(sK5(initial_world)))))
| ~ q(sK2(sK5(sK1(sK5(initial_world)))))
| ~ spl6_14 ),
inference(resolution,[],[f197,f26]) ).
fof(f402,plain,
( ~ p(sK3(sK5(sK1(sK5(initial_world)))))
| ~ q(sK2(sK5(sK1(sK5(initial_world)))))
| ~ spl6_14 ),
inference(resolution,[],[f197,f27]) ).
fof(f416,definition,
( spl6_50
<=> p(sK3(sK5(sK1(sK5(initial_world))))) ),
introduced(definition,[new_symbols(definition,[spl6_50])],[avatar_definition]) ).
fof(f418,plain,
( ~ p(sK3(sK5(sK1(sK5(initial_world)))))
| spl6_50 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f421,definition,
( spl6_51
<=> q(sK4(sK5(sK1(sK5(initial_world))))) ),
introduced(definition,[new_symbols(definition,[spl6_51])],[avatar_definition]) ).
fof(f423,plain,
( ~ q(sK4(sK5(sK1(sK5(initial_world)))))
| spl6_51 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f426,definition,
( spl6_52
<=> reachable(sK3(sK5(sK1(sK5(initial_world)))),sK4(sK5(sK1(sK5(initial_world))))) ),
introduced(definition,[new_symbols(definition,[spl6_52])],[avatar_definition]) ).
fof(f428,plain,
( reachable(sK3(sK5(sK1(sK5(initial_world)))),sK4(sK5(sK1(sK5(initial_world)))))
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f431,definition,
( spl6_53
<=> reachable(sK5(sK1(sK5(initial_world))),sK3(sK5(sK1(sK5(initial_world))))) ),
introduced(definition,[new_symbols(definition,[spl6_53])],[avatar_definition]) ).
fof(f433,plain,
( reachable(sK5(sK1(sK5(initial_world))),sK3(sK5(sK1(sK5(initial_world)))))
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f444,definition,
( spl6_55
<=> q(sK2(sK5(sK1(sK5(initial_world))))) ),
introduced(definition,[new_symbols(definition,[spl6_55])],[avatar_definition]) ).
fof(f446,plain,
( ~ q(sK2(sK5(sK1(sK5(initial_world)))))
| spl6_55 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f447,plain,
( ~ spl6_55
| ~ spl6_50
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f402,f138,f416,f444]) ).
fof(f448,plain,
( ~ spl6_55
| ~ spl6_51
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f401,f138,f421,f444]) ).
fof(f449,plain,
( ~ spl6_55
| spl6_52
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f400,f138,f426,f444]) ).
fof(f450,plain,
( ~ spl6_55
| spl6_53
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f399,f138,f431,f444]) ).
fof(f452,definition,
( spl6_56
<=> reachable(sK5(sK1(sK5(initial_world))),sK2(sK5(sK1(sK5(initial_world))))) ),
introduced(definition,[new_symbols(definition,[spl6_56])],[avatar_definition]) ).
fof(f454,plain,
( reachable(sK5(sK1(sK5(initial_world))),sK2(sK5(sK1(sK5(initial_world)))))
| ~ spl6_56 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f455,plain,
( spl6_56
| ~ spl6_50
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f398,f138,f416,f452]) ).
fof(f456,plain,
( spl6_56
| ~ spl6_51
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f397,f138,f421,f452]) ).
fof(f457,plain,
( spl6_56
| spl6_52
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f396,f138,f426,f452]) ).
fof(f458,plain,
( spl6_56
| spl6_53
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f395,f138,f431,f452]) ).
fof(f460,definition,
( spl6_57
<=> ! [X2,X3] :
( p(X2)
| ~ reachable(sK5(sK1(sK5(initial_world))),X2)
| ~ reachable(X2,X3)
| q(X3) ) ),
introduced(definition,[new_symbols(definition,[spl6_57])],[avatar_definition]) ).
fof(f461,plain,
( ! [X2,X3] :
( ~ reachable(sK5(sK1(sK5(initial_world))),X2)
| p(X2)
| ~ reachable(X2,X3)
| q(X3) )
| ~ spl6_57 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f463,definition,
( spl6_58
<=> ! [X1] :
( q(X1)
| ~ reachable(sK5(sK1(sK5(initial_world))),X1) ) ),
introduced(definition,[new_symbols(definition,[spl6_58])],[avatar_definition]) ).
fof(f464,plain,
( ! [X1] :
( ~ reachable(sK5(sK1(sK5(initial_world))),X1)
| q(X1) )
| ~ spl6_58 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f466,definition,
( spl6_59
<=> ! [X0] :
( ~ reachable(sK5(sK1(sK5(initial_world))),X0)
| p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_59])],[avatar_definition]) ).
fof(f467,plain,
( ! [X0] :
( ~ reachable(sK5(sK1(sK5(initial_world))),X0)
| p(X0) )
| ~ spl6_59 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f468,plain,
( spl6_57
| spl6_58
| spl6_59
| ~ spl6_14 ),
inference(avatar_split_clause,[],[f394,f138,f466,f463,f460]) ).
fof(f469,plain,
( q(sK4(sK5(initial_world)))
| spl6_4
| ~ spl6_12
| ~ spl6_16
| ~ spl6_20 ),
inference(resolution,[],[f214,f164]) ).
fof(f471,plain,
( $false
| spl6_2
| spl6_4
| ~ spl6_12
| ~ spl6_16
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f469,f48]) ).
fof(f472,plain,
( spl6_2
| spl6_4
| ~ spl6_12
| ~ spl6_16
| ~ spl6_20 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f473,plain,
( reachable(sK5(initial_world),sK2(sK5(initial_world)))
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f91,f47]) ).
fof(f474,plain,
( $false
| ~ spl6_2
| spl6_10 ),
inference(forward_subsumption_resolution,[],[f473,f103]) ).
fof(f475,plain,
( ~ spl6_2
| spl6_10 ),
inference(avatar_contradiction_clause,[],[f474]) ).
fof(f493,plain,
( reachable(sK5(initial_world),sK4(sK5(initial_world)))
| ~ spl6_12
| ~ spl6_16 ),
inference(resolution,[],[f142,f164]) ).
fof(f495,plain,
( q(sK4(sK5(initial_world)))
| ~ spl6_12
| ~ spl6_16
| ~ spl6_21 ),
inference(resolution,[],[f493,f186]) ).
fof(f498,plain,
( $false
| spl6_2
| ~ spl6_12
| ~ spl6_16
| ~ spl6_21 ),
inference(forward_subsumption_resolution,[],[f495,f48]) ).
fof(f499,plain,
( spl6_2
| ~ spl6_12
| ~ spl6_16
| ~ spl6_21 ),
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f500,plain,
( ~ q(sK2(sK5(initial_world)))
| spl6_12 ),
inference(forward_subsumption_resolution,[],[f106,f123]) ).
fof(f501,plain,
( $false
| ~ spl6_1
| spl6_12 ),
inference(forward_subsumption_resolution,[],[f500,f43]) ).
fof(f502,plain,
( ~ spl6_1
| spl6_12 ),
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f513,plain,
( p(sK1(sK5(initial_world)))
| ~ spl6_14
| ~ spl6_22 ),
inference(resolution,[],[f189,f140]) ).
fof(f515,plain,
( p(sK3(sK5(initial_world)))
| ~ spl6_12
| ~ spl6_22 ),
inference(resolution,[],[f189,f124]) ).
fof(f520,plain,
( $false
| spl6_4
| ~ spl6_12
| ~ spl6_22 ),
inference(forward_subsumption_resolution,[],[f515,f63]) ).
fof(f521,plain,
( spl6_4
| ~ spl6_12
| ~ spl6_22 ),
inference(avatar_contradiction_clause,[],[f520]) ).
fof(f523,plain,
( $false
| spl6_3
| ~ spl6_14
| ~ spl6_22 ),
inference(forward_subsumption_resolution,[],[f513,f57]) ).
fof(f524,plain,
( spl6_3
| ~ spl6_14
| ~ spl6_22 ),
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f525,plain,
( reachable(sK5(initial_world),sK1(sK5(initial_world)))
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f110,f62]) ).
fof(f526,plain,
( ~ q(sK2(sK5(initial_world)))
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f50,f62]) ).
fof(f527,plain,
( $false
| ~ spl6_4
| spl6_14 ),
inference(forward_subsumption_resolution,[],[f525,f139]) ).
fof(f528,plain,
( ~ spl6_4
| spl6_14 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f529,plain,
( $false
| ~ spl6_1
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f526,f43]) ).
fof(f530,plain,
( ~ spl6_1
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f539,plain,
( reachable(sK1(sK5(initial_world)),sK5(sK1(sK5(initial_world))))
| ~ spl6_14 ),
inference(resolution,[],[f194,f36]) ).
fof(f793,plain,
( ! [X0] :
( ~ reachable(sK5(sK1(sK5(initial_world))),X0)
| reachable(sK1(sK5(initial_world)),X0) )
| ~ spl6_14 ),
inference(resolution,[],[f539,f18]) ).
fof(f1482,plain,
( reachable(sK1(sK5(initial_world)),sK2(sK5(sK1(sK5(initial_world)))))
| ~ spl6_14
| ~ spl6_56 ),
inference(resolution,[],[f793,f454]) ).
fof(f1635,plain,
( q(sK2(sK5(sK1(sK5(initial_world)))))
| spl6_3
| ~ spl6_14
| ~ spl6_20
| ~ spl6_56 ),
inference(resolution,[],[f1482,f223]) ).
fof(f1637,plain,
( $false
| spl6_3
| ~ spl6_14
| ~ spl6_20
| spl6_55
| ~ spl6_56 ),
inference(forward_subsumption_resolution,[],[f1635,f446]) ).
fof(f1638,plain,
( spl6_3
| ~ spl6_14
| ~ spl6_20
| spl6_55
| ~ spl6_56 ),
inference(avatar_contradiction_clause,[],[f1637]) ).
fof(f1640,plain,
( ! [X0] :
( p(sK3(sK5(sK1(sK5(initial_world)))))
| ~ reachable(sK3(sK5(sK1(sK5(initial_world)))),X0)
| q(X0) )
| ~ spl6_53
| ~ spl6_57 ),
inference(resolution,[],[f433,f461]) ).
fof(f1642,plain,
( ! [X0] :
( ~ reachable(sK3(sK5(sK1(sK5(initial_world)))),X0)
| reachable(sK5(sK1(sK5(initial_world))),X0) )
| ~ spl6_53 ),
inference(resolution,[],[f433,f18]) ).
fof(f1643,plain,
( ! [X0] :
( ~ reachable(sK3(sK5(sK1(sK5(initial_world)))),X0)
| q(X0) )
| spl6_50
| ~ spl6_53
| ~ spl6_57 ),
inference(forward_subsumption_resolution,[],[f1640,f418]) ).
fof(f1748,plain,
( q(sK4(sK5(sK1(sK5(initial_world)))))
| spl6_50
| ~ spl6_52
| ~ spl6_53
| ~ spl6_57 ),
inference(resolution,[],[f1643,f428]) ).
fof(f1750,plain,
( $false
| spl6_50
| spl6_51
| ~ spl6_52
| ~ spl6_53
| ~ spl6_57 ),
inference(forward_subsumption_resolution,[],[f1748,f423]) ).
fof(f1751,plain,
( spl6_50
| spl6_51
| ~ spl6_52
| ~ spl6_53
| ~ spl6_57 ),
inference(avatar_contradiction_clause,[],[f1750]) ).
fof(f1829,plain,
( p(sK3(sK5(sK1(sK5(initial_world)))))
| ~ spl6_53
| ~ spl6_59 ),
inference(resolution,[],[f467,f433]) ).
fof(f1831,plain,
( $false
| spl6_50
| ~ spl6_53
| ~ spl6_59 ),
inference(forward_subsumption_resolution,[],[f1829,f418]) ).
fof(f1832,plain,
( spl6_50
| ~ spl6_53
| ~ spl6_59 ),
inference(avatar_contradiction_clause,[],[f1831]) ).
fof(f2438,plain,
( reachable(sK5(sK1(sK5(initial_world))),sK4(sK5(sK1(sK5(initial_world)))))
| ~ spl6_52
| ~ spl6_53 ),
inference(resolution,[],[f1642,f428]) ).
fof(f3218,plain,
( q(sK4(sK5(sK1(sK5(initial_world)))))
| ~ spl6_52
| ~ spl6_53
| ~ spl6_58 ),
inference(resolution,[],[f2438,f464]) ).
fof(f3222,plain,
( $false
| spl6_51
| ~ spl6_52
| ~ spl6_53
| ~ spl6_58 ),
inference(forward_subsumption_resolution,[],[f3218,f423]) ).
fof(f3223,plain,
( spl6_51
| ~ spl6_52
| ~ spl6_53
| ~ spl6_58 ),
inference(avatar_contradiction_clause,[],[f3222]) ).
fof(f3224,plain,
( ~ p(sK1(sK5(initial_world)))
| spl6_16 ),
inference(forward_subsumption_resolution,[],[f143,f163]) ).
fof(f3225,plain,
( $false
| ~ spl6_3
| spl6_16 ),
inference(forward_subsumption_resolution,[],[f3224,f56]) ).
fof(f3226,plain,
( ~ spl6_3
| spl6_16 ),
inference(avatar_contradiction_clause,[],[f3225]) ).
fof(f3228,plain,
( ~ p(sK1(sK5(initial_world)))
| spl6_12 ),
inference(forward_subsumption_resolution,[],[f112,f123]) ).
fof(f3229,plain,
( $false
| ~ spl6_3
| spl6_12 ),
inference(forward_subsumption_resolution,[],[f3228,f56]) ).
fof(f3230,plain,
( ~ spl6_3
| spl6_12 ),
inference(avatar_contradiction_clause,[],[f3229]) ).
fof(f3232,plain,
( reachable(sK5(initial_world),sK1(sK5(initial_world)))
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f108,f47]) ).
fof(f3233,plain,
( $false
| ~ spl6_2
| spl6_14 ),
inference(forward_subsumption_resolution,[],[f3232,f139]) ).
fof(f3234,plain,
( ~ spl6_2
| spl6_14 ),
inference(avatar_contradiction_clause,[],[f3233]) ).
cnf(s1,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f49]) ).
cnf(s2,plain,
( ~ spl6_2
| ~ spl6_3 ),
inference(sat_conversion,[],[f58]) ).
cnf(s3,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f64]) ).
cnf(s10,plain,
( ~ spl6_4
| spl6_10 ),
inference(sat_conversion,[],[f105]) ).
cnf(s12,plain,
( spl6_10
| spl6_12 ),
inference(sat_conversion,[],[f125]) ).
cnf(s14,plain,
( spl6_12
| spl6_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s16,plain,
( spl6_14
| spl6_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s18,plain,
( spl6_20
| spl6_21
| spl6_22 ),
inference(sat_conversion,[],[f190]) ).
cnf(s22,plain,
( spl6_10
| spl6_16 ),
inference(sat_conversion,[],[f225]) ).
cnf(s41,plain,
( spl6_1
| ~ spl6_10
| ~ spl6_21 ),
inference(sat_conversion,[],[f314]) ).
cnf(s42,plain,
( ~ spl6_1
| spl6_16 ),
inference(sat_conversion,[],[f316]) ).
cnf(s68,plain,
( ~ spl6_14
| ~ spl6_50
| ~ spl6_55 ),
inference(sat_conversion,[],[f447]) ).
cnf(s69,plain,
( ~ spl6_14
| ~ spl6_51
| ~ spl6_55 ),
inference(sat_conversion,[],[f448]) ).
cnf(s70,plain,
( ~ spl6_14
| spl6_52
| ~ spl6_55 ),
inference(sat_conversion,[],[f449]) ).
cnf(s71,plain,
( ~ spl6_14
| spl6_53
| ~ spl6_55 ),
inference(sat_conversion,[],[f450]) ).
cnf(s72,plain,
( ~ spl6_14
| ~ spl6_50
| spl6_56 ),
inference(sat_conversion,[],[f455]) ).
cnf(s73,plain,
( ~ spl6_14
| ~ spl6_51
| spl6_56 ),
inference(sat_conversion,[],[f456]) ).
cnf(s74,plain,
( ~ spl6_14
| spl6_52
| spl6_56 ),
inference(sat_conversion,[],[f457]) ).
cnf(s75,plain,
( ~ spl6_14
| spl6_53
| spl6_56 ),
inference(sat_conversion,[],[f458]) ).
cnf(s76,plain,
( ~ spl6_14
| spl6_57
| spl6_58
| spl6_59 ),
inference(sat_conversion,[],[f468]) ).
cnf(s77,plain,
( spl6_2
| spl6_4
| ~ spl6_12
| ~ spl6_16
| ~ spl6_20 ),
inference(sat_conversion,[],[f472]) ).
cnf(s78,plain,
( ~ spl6_2
| spl6_10 ),
inference(sat_conversion,[],[f475]) ).
cnf(s82,plain,
( spl6_2
| ~ spl6_12
| ~ spl6_16
| ~ spl6_21 ),
inference(sat_conversion,[],[f499]) ).
cnf(s83,plain,
( ~ spl6_1
| spl6_12 ),
inference(sat_conversion,[],[f502]) ).
cnf(s86,plain,
( spl6_4
| ~ spl6_12
| ~ spl6_22 ),
inference(sat_conversion,[],[f521]) ).
cnf(s88,plain,
( spl6_3
| ~ spl6_14
| ~ spl6_22 ),
inference(sat_conversion,[],[f524]) ).
cnf(s89,plain,
( ~ spl6_4
| spl6_14 ),
inference(sat_conversion,[],[f528]) ).
cnf(s90,plain,
( ~ spl6_1
| ~ spl6_4 ),
inference(sat_conversion,[],[f530]) ).
cnf(s274,plain,
( spl6_3
| ~ spl6_14
| ~ spl6_20
| spl6_55
| ~ spl6_56 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s293,plain,
( spl6_50
| spl6_51
| ~ spl6_52
| ~ spl6_53
| ~ spl6_57 ),
inference(sat_conversion,[],[f1751]) ).
cnf(s311,plain,
( spl6_50
| ~ spl6_53
| ~ spl6_59 ),
inference(sat_conversion,[],[f1832]) ).
cnf(s573,plain,
( spl6_51
| ~ spl6_52
| ~ spl6_53
| ~ spl6_58 ),
inference(sat_conversion,[],[f3223]) ).
cnf(s574,plain,
( ~ spl6_3
| spl6_16 ),
inference(sat_conversion,[],[f3226]) ).
cnf(s575,plain,
( ~ spl6_3
| spl6_12 ),
inference(sat_conversion,[],[f3230]) ).
cnf(s576,plain,
( ~ spl6_2
| spl6_14 ),
inference(sat_conversion,[],[f3234]) ).
cnf(s577,plain,
( spl6_10
| spl6_20
| spl6_4
| spl6_2 ),
inference(rat,[],[s18,s86,s82,s12,s22]) ).
cnf(s578,plain,
( ~ spl6_22
| spl6_4
| spl6_3 ),
inference(rat,[],[s14,s88,s86]) ).
cnf(s579,plain,
( spl6_10
| spl6_4
| spl6_2 ),
inference(rat,[],[s77,s577,s12,s22]) ).
cnf(s580,plain,
( spl6_52
| ~ spl6_14
| ~ spl6_20
| spl6_3 ),
inference(rat,[],[s274,s70,s74]) ).
cnf(s581,plain,
( spl6_56
| ~ spl6_52
| ~ spl6_14 ),
inference(rat,[],[s76,s293,s573,s311,s72,s73,s75]) ).
cnf(s582,plain,
( ~ spl6_14
| ~ spl6_20
| spl6_3 ),
inference(rat,[],[s76,s293,s573,s311,s68,s69,s71,s274,s581,s580]) ).
cnf(s583,plain,
( spl6_4
| spl6_3
| spl6_2
| spl6_1 ),
inference(rat,[],[s77,s14,s16,s582,s18,s41,s579,s578]) ).
cnf(s584,plain,
( spl6_3
| spl6_2
| spl6_1 ),
inference(rat,[],[s18,s41,s582,s88,s10,s89,s583]) ).
cnf(s585,plain,
( spl6_2
| spl6_1 ),
inference(rat,[],[s18,s77,s86,s82,s3,s574,s575,s584]) ).
cnf(s586,plain,
spl6_1,
inference(rat,[],[s18,s41,s582,s88,s2,s78,s576,s585]) ).
cnf(s587,plain,
~ spl6_4,
inference(rat,[],[s90,s586]) ).
cnf(s588,plain,
spl6_12,
inference(rat,[],[s83,s586]) ).
cnf(s589,plain,
spl6_16,
inference(rat,[],[s42,s586]) ).
cnf(s590,plain,
~ spl6_2,
inference(rat,[],[s1,s586]) ).
cnf(s592,plain,
~ spl6_21,
inference(rat,[],[s82,s590,s589,s588]) ).
cnf(s593,plain,
~ spl6_22,
inference(rat,[],[s86,s587,s588]) ).
cnf(s594,plain,
~ spl6_20,
inference(rat,[],[s77,s590,s588,s587,s589]) ).
cnf(s595,plain,
$false,
inference(rat,[],[s18,s593,s594,s592]) ).
fof(f3235,plain,
$false,
inference(avatar_sat_refutation,[],[s595]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:27:33 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.19/0.30 % (1310693)Will run a generic schedule for satisfiability detection.
% 0.19/0.30 % (1310700)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2735273112:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30 % (1310699)% WARNING: option uhcvi not known.
% 0.19/0.30 % (1310698)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1726386699_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30 % (1310701)dis+10_1_sil=32000:sp=arity:random_seed=410013920:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30 % (1310699)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=348172562:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30 % (1310702)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4241325310:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30 % (1310703)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=60354357:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30 % (1310704)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1090057391:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30 % TRYING [1]
% 0.19/0.30 % TRYING [2]
% 0.19/0.30 % TRYING [3]
% 0.19/0.30 % TRYING [4]
% 0.19/0.30 % (1310703) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1310693-1310703"...
% 0.19/0.30 % (1310703)...printing done.
% 0.19/0.30 % (1310703)Refutation found. Thanks to Tanya!
% 0.19/0.30 % SZS status Theorem for theBenchmark
% 0.19/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.30 % (1310703)------------------------------
% 0.19/0.30 % (1310703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (1310703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (1310703)CaDiCaL version: 2.1.3
% 0.19/0.30 % (1310703)Termination reason: Refutation
% 0.19/0.30 % (1310703)Time elapsed: 0.037 s
% 0.19/0.30 % (1310703)Peak memory usage: 13 MB
% 0.19/0.30 % (1310703)Instructions burned: 55 (million)
% 0.19/0.30 % (1310693)Success in time 0.077 s
% 0.19/0.30 % Vampire exiting
%------------------------------------------------------------------------------