%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN550+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 : n002.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 0.08s 0.26s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 113 ( 11 unt; 12 def)
% Number of atoms : 406 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 484 ( 191 ~; 226 |; 40 &)
% ( 15 <=>; 10 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 128 ( 0 sgn 101 !; 27 ?)
% 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)
=> p(X1) ) )
<=> ? [X0] :
( reachable(initial_world,X0)
& ! [X1] :
( reachable(X0,X1)
=> ? [X2] :
( reachable(X1,X2)
& ! [X3] :
( reachable(X2,X3)
=> p(X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f4,negated_conjecture,
~ ( ? [X0] :
( reachable(initial_world,X0)
& ! [X1] :
( reachable(X0,X1)
=> p(X1) ) )
<=> ? [X0] :
( reachable(initial_world,X0)
& ! [X1] :
( reachable(X0,X1)
=> ? [X2] :
( reachable(X1,X2)
& ! [X3] :
( reachable(X2,X3)
=> p(X3) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ( ? [X0] :
( reachable(initial_world,X0)
& ! [X1] :
( reachable(X0,X1)
=> p(X1) ) )
<=> ? [X2] :
( reachable(initial_world,X2)
& ! [X3] :
( reachable(X2,X3)
=> ? [X4] :
( reachable(X3,X4)
& ! [X5] :
( reachable(X4,X5)
=> p(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] :
( p(X1)
| ~ reachable(X0,X1) ) )
<~> ? [X2] :
( reachable(initial_world,X2)
& ! [X3] :
( ? [X4] :
( reachable(X3,X4)
& ! [X5] :
( p(X5)
| ~ reachable(X4,X5) ) )
| ~ reachable(X2,X3) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f9,definition,
( sP0
<=> ? [X2] :
( reachable(initial_world,X2)
& ! [X3] :
( ? [X4] :
( reachable(X3,X4)
& ! [X5] :
( p(X5)
| ~ reachable(X4,X5) ) )
| ~ reachable(X2,X3) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,plain,
( ? [X0] :
( reachable(initial_world,X0)
& ! [X1] :
( p(X1)
| ~ reachable(X0,X1) ) )
<~> sP0 ),
inference(definition_folding,[],[f8,f9]) ).
fof(f11,plain,
( ( sP0
| ! [X2] :
( ~ reachable(initial_world,X2)
| ? [X3] :
( ! [X4] :
( ~ reachable(X3,X4)
| ? [X5] :
( ~ p(X5)
& reachable(X4,X5) ) )
& reachable(X2,X3) ) ) )
& ( ? [X2] :
( reachable(initial_world,X2)
& ! [X3] :
( ? [X4] :
( reachable(X3,X4)
& ! [X5] :
( p(X5)
| ~ reachable(X4,X5) ) )
| ~ reachable(X2,X3) ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f12,plain,
( ( sP0
| ! [X0] :
( ~ reachable(initial_world,X0)
| ? [X1] :
( ! [X2] :
( ~ reachable(X1,X2)
| ? [X3] :
( ~ p(X3)
& reachable(X2,X3) ) )
& reachable(X0,X1) ) ) )
& ( ? [X4] :
( reachable(initial_world,X4)
& ! [X5] :
( ? [X6] :
( reachable(X5,X6)
& ! [X7] :
( p(X7)
| ~ reachable(X6,X7) ) )
| ~ reachable(X4,X5) ) )
| ~ sP0 ) ),
inference(rectify,[],[f11]) ).
fof(f13,plain,
( ( sP0
| ! [X0] :
( ~ reachable(initial_world,X0)
| ( ! [X2] :
( ~ reachable(sK1(X0),X2)
| ( ~ p(sK2(X2))
& reachable(X2,sK2(X2)) ) )
& reachable(X0,sK1(X0)) ) ) )
& ( ( reachable(initial_world,sK3)
& ! [X5] :
( ( reachable(X5,sK4(X5))
& ! [X7] :
( p(X7)
| ~ reachable(sK4(X5),X7) ) )
| ~ reachable(sK3,X5) ) )
| ~ sP0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X1,sK1(X0)),skolemize(X3,sK2(X2)),skolemize(X4,sK3),skolemize(X6,sK4(X5))],[f12]) ).
fof(f14,plain,
( ( ~ sP0
| ! [X0] :
( ~ reachable(initial_world,X0)
| ? [X1] :
( ~ p(X1)
& reachable(X0,X1) ) ) )
& ( sP0
| ? [X0] :
( reachable(initial_world,X0)
& ! [X1] :
( p(X1)
| ~ reachable(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f15,plain,
( ( ~ sP0
| ! [X0] :
( ~ reachable(initial_world,X0)
| ? [X1] :
( ~ p(X1)
& reachable(X0,X1) ) ) )
& ( sP0
| ? [X2] :
( reachable(initial_world,X2)
& ! [X3] :
( p(X3)
| ~ reachable(X2,X3) ) ) ) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
( ( ~ sP0
| ! [X0] :
( ~ reachable(initial_world,X0)
| ( ~ p(sK5(X0))
& reachable(X0,sK5(X0)) ) ) )
& ( sP0
| ( reachable(initial_world,sK6)
& ! [X3] :
( p(X3)
| ~ reachable(sK6,X3) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X1,sK5(X0)),skolemize(X2,sK6)],[f15]) ).
fof(f17,plain,
! [X0] : reachable(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X2,X0,X1] :
( reachable(X0,X2)
| ~ reachable(X0,X1)
| ~ reachable(X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
! [X7,X5] :
( p(X7)
| ~ reachable(sK4(X5),X7)
| ~ reachable(sK3,X5)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
! [X5] :
( reachable(X5,sK4(X5))
| ~ reachable(sK3,X5)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
( reachable(initial_world,sK3)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f22,plain,
! [X0] :
( sP0
| ~ reachable(initial_world,X0)
| reachable(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
! [X2,X0] :
( sP0
| ~ reachable(initial_world,X0)
| ~ reachable(sK1(X0),X2)
| reachable(X2,sK2(X2)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X2,X0] :
( sP0
| ~ reachable(initial_world,X0)
| ~ reachable(sK1(X0),X2)
| ~ p(sK2(X2)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X3] :
( sP0
| p(X3)
| ~ reachable(sK6,X3) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
( sP0
| reachable(initial_world,sK6) ),
inference(cnf_transformation,[],[f16]) ).
fof(f27,plain,
! [X0] :
( ~ sP0
| ~ reachable(initial_world,X0)
| reachable(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f28,plain,
! [X0] :
( ~ sP0
| ~ reachable(initial_world,X0)
| ~ p(sK5(X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f29,plain,
! [X0] : ~ reachable(X0,X0),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f30,plain,
! [X2,X0,X1] :
( reachable(X1,X2)
| reachable(X0,X1)
| ~ reachable(X0,X2) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f31,plain,
! [X2,X0] :
( sP0
| reachable(initial_world,X0)
| reachable(sK1(X0),X2)
| p(sK2(X2)) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f32,plain,
! [X2,X0] :
( sP0
| reachable(initial_world,X0)
| reachable(sK1(X0),X2)
| ~ reachable(X2,sK2(X2)) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f33,plain,
! [X0] :
( sP0
| reachable(initial_world,X0)
| ~ reachable(X0,sK1(X0)) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f34,plain,
( ~ reachable(initial_world,sK3)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f35,plain,
! [X5] :
( ~ reachable(X5,sK4(X5))
| reachable(sK3,X5)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f36,plain,
! [X7,X5] :
( ~ p(X7)
| reachable(sK4(X5),X7)
| reachable(sK3,X5)
| ~ sP0 ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f37,plain,
! [X0] :
( ~ sP0
| reachable(initial_world,X0)
| p(sK5(X0)) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f38,plain,
! [X0] :
( ~ sP0
| reachable(initial_world,X0)
| ~ reachable(X0,sK5(X0)) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f39,plain,
( sP0
| ~ reachable(initial_world,sK6) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f40,plain,
! [X3] :
( sP0
| ~ p(X3)
| reachable(sK6,X3) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f42,definition,
( spl7_1
<=> ! [X3] :
( ~ p(X3)
| reachable(sK6,X3) ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f43,plain,
( ! [X3] :
( reachable(sK6,X3)
| ~ p(X3) )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,definition,
( spl7_2
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f48,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f40,f45,f42]) ).
fof(f50,definition,
( spl7_3
<=> reachable(initial_world,sK6) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f52,plain,
( ~ reachable(initial_world,sK6)
| spl7_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f53,plain,
( ~ spl7_3
| spl7_2 ),
inference(avatar_split_clause,[],[f39,f45,f50]) ).
fof(f55,definition,
( spl7_4
<=> ! [X0] :
( reachable(initial_world,X0)
| ~ reachable(X0,sK5(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f56,plain,
( ! [X0] :
( reachable(initial_world,X0)
| ~ reachable(X0,sK5(X0)) )
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f57,plain,
( spl7_4
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f38,f45,f55]) ).
fof(f59,definition,
( spl7_5
<=> ! [X0] :
( reachable(initial_world,X0)
| p(sK5(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f60,plain,
( ! [X0] :
( p(sK5(X0))
| reachable(initial_world,X0) )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f61,plain,
( spl7_5
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f37,f45,f59]) ).
fof(f63,definition,
( spl7_6
<=> ! [X5,X7] :
( ~ p(X7)
| reachable(sK3,X5)
| reachable(sK4(X5),X7) ) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f64,plain,
( ! [X7,X5] :
( reachable(sK3,X5)
| ~ p(X7)
| reachable(sK4(X5),X7) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( ~ spl7_2
| spl7_6 ),
inference(avatar_split_clause,[],[f36,f63,f45]) ).
fof(f67,definition,
( spl7_7
<=> ! [X5] :
( ~ reachable(X5,sK4(X5))
| reachable(sK3,X5) ) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f68,plain,
( ! [X5] :
( reachable(sK3,X5)
| ~ reachable(X5,sK4(X5)) )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f69,plain,
( ~ spl7_2
| spl7_7 ),
inference(avatar_split_clause,[],[f35,f67,f45]) ).
fof(f71,definition,
( spl7_8
<=> reachable(initial_world,sK3) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f73,plain,
( ~ reachable(initial_world,sK3)
| spl7_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
( ~ spl7_2
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f34,f71,f45]) ).
fof(f76,definition,
( spl7_9
<=> ! [X0] :
( reachable(initial_world,X0)
| ~ reachable(X0,sK1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
fof(f77,plain,
( ! [X0] :
( reachable(initial_world,X0)
| ~ reachable(X0,sK1(X0)) )
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( spl7_9
| spl7_2 ),
inference(avatar_split_clause,[],[f33,f45,f76]) ).
fof(f80,definition,
( spl7_10
<=> ! [X2,X0] :
( reachable(initial_world,X0)
| ~ reachable(X2,sK2(X2))
| reachable(sK1(X0),X2) ) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
fof(f81,plain,
( ! [X2,X0] :
( reachable(initial_world,X0)
| ~ reachable(X2,sK2(X2))
| reachable(sK1(X0),X2) )
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( spl7_10
| spl7_2 ),
inference(avatar_split_clause,[],[f32,f45,f80]) ).
fof(f84,definition,
( spl7_11
<=> ! [X2,X0] :
( reachable(initial_world,X0)
| p(sK2(X2))
| reachable(sK1(X0),X2) ) ),
introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).
fof(f85,plain,
( ! [X2,X0] :
( p(sK2(X2))
| reachable(initial_world,X0)
| reachable(sK1(X0),X2) )
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( spl7_11
| spl7_2 ),
inference(avatar_split_clause,[],[f31,f45,f84]) ).
fof(f90,plain,
( ~ reachable(sK3,sK5(sK3))
| ~ spl7_4
| spl7_8 ),
inference(resolution,[],[f73,f56]) ).
fof(f91,plain,
( ~ reachable(sK5(sK3),sK4(sK5(sK3)))
| ~ spl7_4
| ~ spl7_7
| spl7_8 ),
inference(resolution,[],[f68,f90]) ).
fof(f98,plain,
( ! [X0] :
( reachable(X0,sK3)
| ~ reachable(X0,sK5(sK3)) )
| ~ spl7_4
| spl7_8 ),
inference(resolution,[],[f30,f90]) ).
fof(f102,plain,
( ! [X0] :
( reachable(X0,sK5(sK3))
| ~ reachable(X0,sK4(sK5(sK3))) )
| ~ spl7_4
| ~ spl7_7
| spl7_8 ),
inference(resolution,[],[f30,f91]) ).
fof(f107,plain,
( ~ reachable(initial_world,sK5(sK3))
| ~ spl7_4
| spl7_8 ),
inference(resolution,[],[f98,f73]) ).
fof(f108,plain,
( ! [X0] :
( reachable(sK4(sK5(sK3)),X0)
| ~ p(X0) )
| ~ spl7_4
| ~ spl7_6
| spl7_8 ),
inference(resolution,[],[f64,f90]) ).
fof(f154,plain,
( ~ reachable(initial_world,sK4(sK5(sK3)))
| ~ spl7_4
| ~ spl7_7
| spl7_8 ),
inference(resolution,[],[f102,f107]) ).
fof(f156,plain,
( ~ reachable(sK4(sK5(sK3)),sK5(sK4(sK5(sK3))))
| ~ spl7_4
| ~ spl7_7
| spl7_8 ),
inference(resolution,[],[f154,f56]) ).
fof(f161,plain,
( ~ p(sK5(sK4(sK5(sK3))))
| ~ spl7_4
| ~ spl7_6
| ~ spl7_7
| spl7_8 ),
inference(resolution,[],[f156,f108]) ).
fof(f165,plain,
( reachable(initial_world,sK4(sK5(sK3)))
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| spl7_8 ),
inference(resolution,[],[f161,f60]) ).
fof(f166,plain,
( $false
| ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| spl7_8 ),
inference(resolution,[],[f165,f154]) ).
fof(f167,plain,
( ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| spl7_8 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f193,plain,
( ~ reachable(sK6,sK1(sK6))
| spl7_3
| ~ spl7_9 ),
inference(resolution,[],[f77,f52]) ).
fof(f256,plain,
( ! [X0] :
( reachable(sK1(sK6),X0)
| ~ reachable(X0,sK2(X0)) )
| spl7_3
| ~ spl7_10 ),
inference(resolution,[],[f81,f52]) ).
fof(f263,plain,
( ~ reachable(sK1(sK6),sK2(sK1(sK6)))
| spl7_3
| ~ spl7_10 ),
inference(resolution,[],[f256,f29]) ).
fof(f265,plain,
( ! [X0] :
( reachable(X0,sK1(sK6))
| ~ reachable(X0,sK2(sK1(sK6))) )
| spl7_3
| ~ spl7_10 ),
inference(resolution,[],[f263,f30]) ).
fof(f274,plain,
( ~ reachable(sK6,sK2(sK1(sK6)))
| spl7_3
| ~ spl7_9
| ~ spl7_10 ),
inference(resolution,[],[f265,f193]) ).
fof(f279,plain,
( ~ p(sK2(sK1(sK6)))
| ~ spl7_1
| spl7_3
| ~ spl7_9
| ~ spl7_10 ),
inference(resolution,[],[f274,f43]) ).
fof(f281,plain,
( ! [X0] :
( reachable(sK1(X0),sK1(sK6))
| reachable(initial_world,X0) )
| ~ spl7_1
| spl7_3
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11 ),
inference(resolution,[],[f279,f85]) ).
fof(f443,plain,
( reachable(initial_world,sK6)
| ~ spl7_1
| spl7_3
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11 ),
inference(resolution,[],[f281,f29]) ).
fof(f444,plain,
( spl7_3
| ~ spl7_1
| spl7_3
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11 ),
inference(avatar_split_clause,[],[f443,f84,f80,f76,f50,f42,f50]) ).
cnf(s1,plain,
( spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f48]) ).
cnf(s2,plain,
( spl7_2
| ~ spl7_3 ),
inference(sat_conversion,[],[f53]) ).
cnf(s3,plain,
( ~ spl7_2
| spl7_4 ),
inference(sat_conversion,[],[f57]) ).
cnf(s4,plain,
( ~ spl7_2
| spl7_5 ),
inference(sat_conversion,[],[f61]) ).
cnf(s5,plain,
( ~ spl7_2
| spl7_6 ),
inference(sat_conversion,[],[f65]) ).
cnf(s6,plain,
( ~ spl7_2
| spl7_7 ),
inference(sat_conversion,[],[f69]) ).
cnf(s7,plain,
( ~ spl7_2
| ~ spl7_8 ),
inference(sat_conversion,[],[f74]) ).
cnf(s8,plain,
( spl7_2
| spl7_9 ),
inference(sat_conversion,[],[f78]) ).
cnf(s9,plain,
( spl7_2
| spl7_10 ),
inference(sat_conversion,[],[f82]) ).
cnf(s10,plain,
( spl7_2
| spl7_11 ),
inference(sat_conversion,[],[f86]) ).
cnf(s11,plain,
( ~ spl7_4
| ~ spl7_5
| ~ spl7_6
| ~ spl7_7
| spl7_8 ),
inference(sat_conversion,[],[f167]) ).
cnf(s12,plain,
( spl7_3
| ~ spl7_1
| spl7_3
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11 ),
inference(sat_conversion,[],[f444]) ).
cnf(s13,plain,
( ~ spl7_1
| spl7_3
| ~ spl7_9
| ~ spl7_10
| ~ spl7_11 ),
inference(rat,[],[s12]) ).
cnf(s14,plain,
~ spl7_2,
inference(rat,[],[s11,s3,s4,s5,s6,s7]) ).
cnf(s15,plain,
spl7_11,
inference(rat,[],[s10,s14]) ).
cnf(s16,plain,
spl7_10,
inference(rat,[],[s9,s14]) ).
cnf(s17,plain,
spl7_9,
inference(rat,[],[s8,s14]) ).
cnf(s18,plain,
~ spl7_3,
inference(rat,[],[s2,s14]) ).
cnf(s19,plain,
spl7_1,
inference(rat,[],[s1,s14]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s13,s15,s16,s17,s19,s18]) ).
fof(f445,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN550+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n002.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:30:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (498158)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (498169)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4149994611:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26 % (498164)% WARNING: option uhcvi not known.
% 0.08/0.26 % (498169) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-498158-498169"...
% 0.08/0.26 % (498165)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1120267819:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (498169)...printing done.
% 0.08/0.26 % (498163)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2052052918_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (498168)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1095739266:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (498164)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3857593418:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (498166)dis+10_1_sil=32000:sp=arity:random_seed=2028627948:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (498167)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3534752468:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (498169)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.26 % (498169)------------------------------
% 0.18/0.26 % (498169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.26 % (498169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.26 % (498169)CaDiCaL version: 2.1.3
% 0.18/0.26 % (498169)Termination reason: Refutation
% 0.18/0.26 % (498169)Time elapsed: 0.006 s
% 0.18/0.26 % (498169)Peak memory usage: 12 MB
% 0.18/0.26 % (498169)Instructions burned: 14 (million)
% 0.18/0.26 % (498158)Success in time 0.033 s
% 0.18/0.26 % Vampire exiting
%------------------------------------------------------------------------------