%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:17 PM UTC 2026
% Result : Theorem 2.35s 1.15s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 38
% Syntax : Number of formulae : 190 ( 58 unt; 19 def)
% Number of atoms : 507 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 592 ( 275 ~; 263 |; 20 &)
% ( 19 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 20 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 146 ( 0 sgn 132 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_type) ).
fof(f2,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_type) ).
fof(f3,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_type) ).
fof(f5,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_type) ).
fof(f6,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).
fof(f7,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).
fof(f8,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f10,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_4_2) ).
fof(f11,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_type) ).
fof(f12,axiom,
! [X0] :
( grain(X0)
=> plant(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_2) ).
fof(f13,axiom,
! [X0] :
( animal(X0)
=> ( ! [X1] :
( plant(X1)
=> eats(X0,X1) )
| ! [X2] :
( ( animal(X2)
& much_smaller(X2,X0)
& ? [X3] :
( plant(X3)
& eats(X2,X3) ) )
=> eats(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
fof(f14,axiom,
! [X0,X1] :
( ( bird(X0)
& snail(X1) )
=> much_smaller(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f16,axiom,
! [X0,X1] :
( ( bird(X0)
& fox(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f17,axiom,
! [X0,X1] :
( ( fox(X0)
& wolf(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f18,axiom,
! [X0,X1] :
( ( wolf(X0)
& fox(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f19,axiom,
! [X0,X1] :
( ( wolf(X0)
& grain(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
fof(f21,axiom,
! [X0,X1] :
( ( bird(X0)
& snail(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(f23,axiom,
! [X0] :
( snail(X0)
=> ? [X1] :
( plant(X1)
& eats(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
fof(f24,conjecture,
? [X0,X1] :
( animal(X0)
& animal(X1)
& ? [X2] :
( grain(X2)
& eats(X1,X2)
& eats(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
fof(f25,negated_conjecture,
~ ? [X0,X1] :
( animal(X0)
& animal(X1)
& ? [X2] :
( grain(X2)
& eats(X1,X2)
& eats(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f26,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f27,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f30,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ~ plant(X1) )
| ! [X2] :
( eats(X0,X2)
| ~ animal(X2)
| ~ much_smaller(X2,X0)
| ! [X3] :
( ~ plant(X3)
| ~ eats(X2,X3) ) )
| ~ animal(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ~ plant(X1) )
| ! [X2] :
( eats(X0,X2)
| ~ animal(X2)
| ~ much_smaller(X2,X0)
| ! [X3] :
( ~ plant(X3)
| ~ eats(X2,X3) ) )
| ~ animal(X0) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ~ snail(X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f35,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ~ snail(X1) ),
inference(flattening,[],[f34]) ).
fof(f38,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f41,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f43,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ grain(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f45,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ grain(X1) ),
inference(flattening,[],[f44]) ).
fof(f48,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f49,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(flattening,[],[f48]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
( plant(X1)
& eats(X0,X1) )
| ~ snail(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f52,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ! [X2] :
( ~ grain(X2)
| ~ eats(X1,X2)
| ~ eats(X0,X1) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f53,plain,
wolf(sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f54,plain,
fox(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f2]) ).
fof(f55,plain,
bird(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f3]) ).
fof(f57,plain,
snail(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f5]) ).
fof(f58,plain,
grain(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f11]) ).
fof(f60,plain,
! [X0] :
( ( plant(sK7(X0))
& eats(X0,sK7(X0)) )
| ~ snail(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f51]) ).
fof(f61,plain,
wolf(sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f62,plain,
fox(sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f63,plain,
bird(sK2),
inference(cnf_transformation,[],[f55]) ).
fof(f65,plain,
snail(sK4),
inference(cnf_transformation,[],[f57]) ).
fof(f66,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f68,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f70,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f71,plain,
grain(sK5),
inference(cnf_transformation,[],[f58]) ).
fof(f72,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ much_smaller(X2,X0)
| ~ plant(X1)
| eats(X0,X2)
| ~ animal(X2)
| eats(X0,X1)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ~ snail(X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f76,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f77,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f78,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f79,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f81,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f84,plain,
! [X0] :
( ~ snail(X0)
| eats(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f85,plain,
! [X0] :
( plant(sK7(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,X2)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f87,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ eats(X0,sK5)
| ~ eats(X1,X0) ),
inference(resolution,[],[f71,f86]) ).
fof(f88,plain,
animal(sK0),
inference(resolution,[],[f66,f61]) ).
fof(f90,plain,
animal(sK1),
inference(resolution,[],[f67,f62]) ).
fof(f91,plain,
animal(sK2),
inference(resolution,[],[f68,f63]) ).
fof(f96,definition,
( spl8_1
<=> eats(sK0,sK5) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f97,plain,
( ~ eats(sK0,sK5)
| spl8_1 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f108,plain,
animal(sK4),
inference(resolution,[],[f70,f65]) ).
fof(f111,plain,
! [X0] :
( ~ animal(X0)
| ~ eats(X0,sK5)
| ~ eats(sK1,X0) ),
inference(resolution,[],[f90,f87]) ).
fof(f114,definition,
( spl8_4
<=> eats(sK1,sK5) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f115,plain,
( ~ eats(sK1,sK5)
| spl8_4 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f125,definition,
( spl8_7
<=> eats(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f128,plain,
plant(sK5),
inference(resolution,[],[f72,f71]) ).
fof(f131,plain,
( ~ eats(sK2,sK5)
| ~ eats(sK1,sK2) ),
inference(resolution,[],[f91,f111]) ).
fof(f137,definition,
( spl8_8
<=> eats(sK2,sK5) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f138,plain,
( ~ eats(sK2,sK5)
| spl8_8 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f152,definition,
( spl8_12
<=> eats(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).
fof(f154,plain,
( ~ spl8_12
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f131,f137,f152]) ).
fof(f188,plain,
eats(sK4,sK7(sK4)),
inference(resolution,[],[f84,f65]) ).
fof(f208,definition,
( spl8_21
<=> eats(sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl8_21])],[avatar_definition]) ).
fof(f209,plain,
( ~ eats(sK2,sK4)
| spl8_21 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f232,plain,
! [X0] :
( ~ wolf(X0)
| ~ eats(X0,sK1) ),
inference(resolution,[],[f78,f62]) ).
fof(f233,plain,
! [X0] :
( ~ wolf(X0)
| ~ eats(X0,sK5) ),
inference(resolution,[],[f79,f71]) ).
fof(f234,plain,
~ eats(sK0,sK1),
inference(resolution,[],[f232,f61]) ).
fof(f235,plain,
~ spl8_7,
inference(avatar_split_clause,[],[f234,f125]) ).
fof(f237,plain,
~ eats(sK0,sK5),
inference(resolution,[],[f233,f61]) ).
fof(f238,plain,
! [X0] :
( ~ bird(X0)
| ~ eats(X0,sK4) ),
inference(resolution,[],[f81,f65]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( eats(X1,X0)
| eats(X1,X2)
| ~ animal(X2)
| ~ plant(X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X1)
| ~ fox(X2)
| ~ wolf(X1) ),
inference(resolution,[],[f73,f77]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( eats(X1,X0)
| eats(X1,X2)
| ~ animal(X2)
| ~ plant(X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X1)
| ~ bird(X2)
| ~ fox(X1) ),
inference(resolution,[],[f73,f76]) ).
fof(f243,plain,
! [X2,X3,X0,X1] :
( eats(X1,X0)
| eats(X1,X2)
| ~ animal(X2)
| ~ plant(X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X1)
| ~ bird(X1)
| ~ snail(X2) ),
inference(resolution,[],[f73,f74]) ).
fof(f244,plain,
~ eats(sK2,sK4),
inference(resolution,[],[f238,f63]) ).
fof(f245,plain,
~ spl8_21,
inference(avatar_split_clause,[],[f244,f208]) ).
fof(f246,plain,
( ! [X0,X1] :
( eats(sK0,X0)
| ~ animal(X0)
| ~ plant(sK5)
| ~ plant(X1)
| ~ eats(X0,X1)
| ~ animal(sK0)
| ~ fox(X0)
| ~ wolf(sK0) )
| spl8_1 ),
inference(resolution,[],[f240,f97]) ).
fof(f257,definition,
( spl8_27
<=> animal(sK2) ),
introduced(definition,[new_symbols(definition,[spl8_27])],[avatar_definition]) ).
fof(f258,plain,
( ~ animal(sK2)
| spl8_27 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f267,definition,
( spl8_30
<=> wolf(sK0) ),
introduced(definition,[new_symbols(definition,[spl8_30])],[avatar_definition]) ).
fof(f268,plain,
( ~ wolf(sK0)
| spl8_30 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,definition,
( spl8_31
<=> animal(sK0) ),
introduced(definition,[new_symbols(definition,[spl8_31])],[avatar_definition]) ).
fof(f271,plain,
( ~ animal(sK0)
| spl8_31 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f276,definition,
( spl8_33
<=> ! [X0,X1] :
( eats(sK0,X0)
| ~ fox(X0)
| ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_33])],[avatar_definition]) ).
fof(f277,plain,
( ! [X0,X1] :
( ~ plant(X1)
| ~ fox(X0)
| ~ eats(X0,X1)
| eats(sK0,X0)
| ~ animal(X0) )
| ~ spl8_33 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f283,definition,
( spl8_35
<=> animal(sK4) ),
introduced(definition,[new_symbols(definition,[spl8_35])],[avatar_definition]) ).
fof(f284,plain,
( ~ animal(sK4)
| spl8_35 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f286,definition,
( spl8_36
<=> plant(sK5) ),
introduced(definition,[new_symbols(definition,[spl8_36])],[avatar_definition]) ).
fof(f287,plain,
( ~ plant(sK5)
| spl8_36 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f307,definition,
( spl8_42
<=> animal(sK1) ),
introduced(definition,[new_symbols(definition,[spl8_42])],[avatar_definition]) ).
fof(f308,plain,
( ~ animal(sK1)
| spl8_42 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f313,plain,
( ~ spl8_30
| ~ spl8_31
| ~ spl8_36
| spl8_33
| spl8_1 ),
inference(avatar_split_clause,[],[f246,f96,f276,f286,f270,f267]) ).
fof(f314,plain,
( $false
| spl8_31 ),
inference(resolution,[],[f271,f88]) ).
fof(f315,plain,
spl8_31,
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f316,plain,
( $false
| spl8_30 ),
inference(resolution,[],[f268,f61]) ).
fof(f317,plain,
spl8_30,
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f318,plain,
( $false
| spl8_36 ),
inference(resolution,[],[f287,f128]) ).
fof(f319,plain,
spl8_36,
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f322,plain,
( $false
| spl8_42 ),
inference(resolution,[],[f308,f90]) ).
fof(f323,plain,
spl8_42,
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f326,plain,
( ! [X0] :
( ~ fox(X0)
| ~ eats(X0,sK5)
| eats(sK0,X0)
| ~ animal(X0) )
| ~ spl8_33 ),
inference(resolution,[],[f277,f128]) ).
fof(f327,plain,
( ~ eats(sK1,sK5)
| eats(sK0,sK1)
| ~ animal(sK1)
| ~ spl8_33 ),
inference(resolution,[],[f326,f62]) ).
fof(f365,definition,
( spl8_51
<=> fox(sK1) ),
introduced(definition,[new_symbols(definition,[spl8_51])],[avatar_definition]) ).
fof(f366,plain,
( ~ fox(sK1)
| spl8_51 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f368,definition,
( spl8_52
<=> ! [X0,X1] :
( eats(sK1,X0)
| ~ bird(X0)
| ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_52])],[avatar_definition]) ).
fof(f369,plain,
( ! [X0,X1] :
( ~ plant(X1)
| ~ bird(X0)
| ~ eats(X0,X1)
| eats(sK1,X0)
| ~ animal(X0) )
| ~ spl8_52 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f378,plain,
( $false
| spl8_51 ),
inference(resolution,[],[f366,f62]) ).
fof(f379,plain,
spl8_51,
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f393,plain,
( ~ spl8_42
| spl8_7
| ~ spl8_4
| ~ spl8_33 ),
inference(avatar_split_clause,[],[f327,f276,f114,f125,f307]) ).
fof(f394,plain,
( ! [X0,X1] :
( eats(sK1,X0)
| ~ animal(X0)
| ~ plant(sK5)
| ~ plant(X1)
| ~ eats(X0,X1)
| ~ animal(sK1)
| ~ bird(X0)
| ~ fox(sK1) )
| spl8_4 ),
inference(resolution,[],[f115,f241]) ).
fof(f396,plain,
( ~ spl8_51
| ~ spl8_42
| ~ spl8_36
| spl8_52
| spl8_4 ),
inference(avatar_split_clause,[],[f394,f114,f368,f286,f307,f365]) ).
fof(f406,plain,
( $false
| spl8_27 ),
inference(resolution,[],[f258,f91]) ).
fof(f407,plain,
spl8_27,
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f418,plain,
( ! [X0] :
( ~ bird(X0)
| ~ eats(X0,sK5)
| eats(sK1,X0)
| ~ animal(X0) )
| ~ spl8_52 ),
inference(resolution,[],[f369,f128]) ).
fof(f421,plain,
( ~ eats(sK2,sK5)
| eats(sK1,sK2)
| ~ animal(sK2)
| ~ spl8_52 ),
inference(resolution,[],[f418,f63]) ).
fof(f460,definition,
( spl8_65
<=> bird(sK2) ),
introduced(definition,[new_symbols(definition,[spl8_65])],[avatar_definition]) ).
fof(f461,plain,
( ~ bird(sK2)
| spl8_65 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f463,definition,
( spl8_66
<=> ! [X0,X1] :
( eats(sK2,X0)
| ~ snail(X0)
| ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_66])],[avatar_definition]) ).
fof(f464,plain,
( ! [X0,X1] :
( ~ plant(X1)
| ~ snail(X0)
| ~ eats(X0,X1)
| eats(sK2,X0)
| ~ animal(X0) )
| ~ spl8_66 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f475,plain,
( $false
| spl8_65 ),
inference(resolution,[],[f461,f63]) ).
fof(f476,plain,
spl8_65,
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f487,plain,
( ~ spl8_27
| spl8_12
| ~ spl8_8
| ~ spl8_52 ),
inference(avatar_split_clause,[],[f421,f368,f137,f152,f257]) ).
fof(f488,plain,
( ! [X0,X1] :
( eats(sK2,X0)
| ~ animal(X0)
| ~ plant(sK5)
| ~ plant(X1)
| ~ eats(X0,X1)
| ~ animal(sK2)
| ~ bird(sK2)
| ~ snail(X0) )
| spl8_8 ),
inference(resolution,[],[f138,f243]) ).
fof(f491,plain,
( ~ spl8_65
| ~ spl8_27
| ~ spl8_36
| spl8_66
| spl8_8 ),
inference(avatar_split_clause,[],[f488,f137,f463,f286,f257,f460]) ).
fof(f509,plain,
( $false
| spl8_35 ),
inference(resolution,[],[f284,f108]) ).
fof(f510,plain,
spl8_35,
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f525,plain,
( ! [X0,X1] :
( eats(sK2,X0)
| ~ eats(X0,sK7(X1))
| ~ snail(X0)
| ~ animal(X0)
| ~ snail(X1) )
| ~ spl8_66 ),
inference(resolution,[],[f464,f85]) ).
fof(f545,plain,
( ! [X0] :
( ~ eats(sK4,sK7(X0))
| ~ snail(sK4)
| ~ animal(sK4)
| ~ snail(X0) )
| spl8_21
| ~ spl8_66 ),
inference(resolution,[],[f525,f209]) ).
fof(f569,definition,
( spl8_80
<=> snail(sK4) ),
introduced(definition,[new_symbols(definition,[spl8_80])],[avatar_definition]) ).
fof(f570,plain,
( ~ snail(sK4)
| spl8_80 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f572,definition,
( spl8_81
<=> ! [X0] :
( ~ eats(sK4,sK7(X0))
| ~ snail(X0) ) ),
introduced(definition,[new_symbols(definition,[spl8_81])],[avatar_definition]) ).
fof(f573,plain,
( ! [X0] :
( ~ snail(X0)
| ~ eats(sK4,sK7(X0)) )
| ~ spl8_81 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f574,plain,
( ~ spl8_35
| ~ spl8_80
| spl8_81
| spl8_21
| ~ spl8_66 ),
inference(avatar_split_clause,[],[f545,f463,f208,f572,f569,f283]) ).
fof(f589,plain,
( $false
| spl8_80 ),
inference(resolution,[],[f570,f65]) ).
fof(f590,plain,
spl8_80,
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f595,plain,
( ~ eats(sK4,sK7(sK4))
| ~ spl8_81 ),
inference(resolution,[],[f573,f65]) ).
fof(f596,plain,
( $false
| ~ spl8_81 ),
inference(resolution,[],[f595,f188]) ).
fof(f600,plain,
~ spl8_81,
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f622,plain,
~ spl8_1,
inference(avatar_split_clause,[],[f237,f96]) ).
cnf(s9,plain,
( ~ spl8_8
| ~ spl8_12 ),
inference(sat_conversion,[],[f154]) ).
cnf(s21,plain,
~ spl8_7,
inference(sat_conversion,[],[f235]) ).
cnf(s22,plain,
~ spl8_21,
inference(sat_conversion,[],[f245]) ).
cnf(s29,plain,
( spl8_1
| ~ spl8_30
| ~ spl8_31
| spl8_33
| ~ spl8_36 ),
inference(sat_conversion,[],[f313]) ).
cnf(s30,plain,
spl8_31,
inference(sat_conversion,[],[f315]) ).
cnf(s31,plain,
spl8_30,
inference(sat_conversion,[],[f317]) ).
cnf(s32,plain,
spl8_36,
inference(sat_conversion,[],[f319]) ).
cnf(s34,plain,
spl8_42,
inference(sat_conversion,[],[f323]) ).
cnf(s42,plain,
spl8_51,
inference(sat_conversion,[],[f379]) ).
cnf(s47,plain,
( ~ spl8_4
| spl8_7
| ~ spl8_33
| ~ spl8_42 ),
inference(sat_conversion,[],[f393]) ).
cnf(s48,plain,
( spl8_4
| ~ spl8_36
| ~ spl8_42
| ~ spl8_51
| spl8_52 ),
inference(sat_conversion,[],[f396]) ).
cnf(s53,plain,
spl8_27,
inference(sat_conversion,[],[f407]) ).
cnf(s61,plain,
spl8_65,
inference(sat_conversion,[],[f476]) ).
cnf(s65,plain,
( ~ spl8_8
| spl8_12
| ~ spl8_27
| ~ spl8_52 ),
inference(sat_conversion,[],[f487]) ).
cnf(s66,plain,
( spl8_8
| ~ spl8_27
| ~ spl8_36
| ~ spl8_65
| spl8_66 ),
inference(sat_conversion,[],[f491]) ).
cnf(s73,plain,
spl8_35,
inference(sat_conversion,[],[f510]) ).
cnf(s79,plain,
( spl8_21
| ~ spl8_35
| ~ spl8_66
| ~ spl8_80
| spl8_81 ),
inference(sat_conversion,[],[f574]) ).
cnf(s82,plain,
spl8_80,
inference(sat_conversion,[],[f590]) ).
cnf(s83,plain,
~ spl8_81,
inference(sat_conversion,[],[f600]) ).
cnf(s93,plain,
~ spl8_1,
inference(sat_conversion,[],[f622]) ).
cnf(s94,plain,
( spl8_21
| ~ spl8_35
| ~ spl8_66 ),
inference(rat,[],[s79,s83,s82]) ).
cnf(s104,plain,
spl8_33,
inference(rat,[],[s29,s32,s30,s31,s93]) ).
cnf(s110,plain,
~ spl8_66,
inference(rat,[],[s94,s73,s22]) ).
cnf(s112,plain,
spl8_8,
inference(rat,[],[s66,s32,s61,s53,s110]) ).
cnf(s117,plain,
~ spl8_4,
inference(rat,[],[s47,s34,s104,s21]) ).
cnf(s119,plain,
spl8_52,
inference(rat,[],[s48,s32,s42,s34,s117]) ).
cnf(s120,plain,
spl8_12,
inference(rat,[],[s65,s112,s53,s119]) ).
cnf(s122,plain,
$false,
inference(rat,[],[s9,s120,s112]) ).
fof(f623,plain,
$false,
inference(avatar_sat_refutation,[],[s122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:39:46 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/1.15 % (4034820)Detected formulas, will run a generic FOF schedule.
% 2.35/1.15 % (4034831)dis-21_1_sil=8000:lcm=predicate:random_seed=558601683: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)
% 2.35/1.15 % (4034831)First to succeed.
% 2.35/1.15 % (4034831)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4034820"
% 2.35/1.15 % (4034825)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=928472539:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.35/1.15 % (4034826)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=2988877468:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.35/1.15 % (4034827)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=2277257365:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.35/1.15 % (4034828)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3734837071:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.35/1.15 % (4034829)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3887999511:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.35/1.15 % (4034830)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2569160929:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.35/1.15 % (4034828)Refutation not found, incomplete strategy
% 2.35/1.15 % (4034828)------------------------------
% 2.35/1.15 % (4034828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/1.15 % (4034828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/1.15 % (4034828)CaDiCaL version: 2.1.3
% 2.35/1.15 % (4034828)Termination reason: Refutation not found, incomplete strategy
% 2.35/1.15 % (4034828)Time elapsed: 0.001 s
% 2.35/1.15 % (4034828)Peak memory usage: 86 MB
% 2.35/1.15 % (4034830)Also succeeded, but the first one will report.
% 2.35/1.15 % (4034829)Instruction limit reached!
% 2.35/1.15 % (4034829)------------------------------
% 2.35/1.15 % (4034829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.35/1.15 % (4034829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/1.15 % (4034829)CaDiCaL version: 2.1.3
% 2.35/1.15 % (4034829)Termination reason: Instruction limit
% 2.35/1.15 % (4034829)Termination phase: Saturation
% 2.35/1.15 % (4034829)Time elapsed: 0.054 s
% 2.35/1.15 % (4034829)Peak memory usage: 87 MB
% 2.35/1.15 % (4034829)Instructions burned: 119 (million)
% 2.35/1.15 % (4034831)Refutation found. Thanks to Tanya!
% 2.35/1.15 % SZS status Theorem for theBenchmark
% 2.35/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.35 % (4034831)------------------------------
% 2.73/1.35 % (4034831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.35 % (4034831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.35 % (4034831)CaDiCaL version: 2.1.3
% 2.73/1.35 % (4034831)Termination reason: Refutation
% 2.73/1.35 % (4034831)Time elapsed: 0.005 s
% 2.73/1.35 % (4034831)Peak memory usage: 89 MB
% 2.73/1.35 % (4034831)Instructions burned: 11 (million)
% 2.73/1.35 % (4034831)------------------------------
% 2.73/1.35 % (4034831)------------------------------
% 2.73/1.35 % (4034820)Success in time 0.301 s
% 2.73/1.35 % Vampire exiting
%------------------------------------------------------------------------------