%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:31:59 PM UTC 2026
% Result : Theorem 0.11s 5.48s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 31
% Syntax : Number of formulae : 160 ( 38 unt; 11 def)
% Number of atoms : 489 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 643 ( 314 ~; 283 |; 19 &)
% ( 11 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 12 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 214 ( 0 sgn 199 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_type) ).
fof(f5,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_is_animal) ).
fof(f6,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_type) ).
fof(f7,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_is_animal) ).
fof(f8,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_type) ).
fof(f9,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_is_animal) ).
fof(f12,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_type) ).
fof(f13,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_is_animal) ).
fof(f14,axiom,
? [X0] : plant(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plant_type) ).
fof(f16,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_type) ).
fof(f17,axiom,
! [X0] :
( grain(X0)
=> plant(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_is_plant) ).
fof(f18,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(f19,axiom,
! [X0,X1] :
( ( bird(X0)
& snail(X1) )
=> much_smaller(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f21,axiom,
! [X0,X1] :
( ( bird(X0)
& fox(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f22,axiom,
! [X0,X1] :
( ( fox(X0)
& wolf(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f23,axiom,
! [X0,X1] :
( ( wolf(X0)
& fox(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f24,axiom,
! [X0,X1] :
( ( wolf(X0)
& grain(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
fof(f26,axiom,
! [X0,X1] :
( ( bird(X0)
& snail(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(f28,axiom,
! [X0] :
( snail(X0)
=> ? [X1] :
( plant(X1)
& eats(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
fof(f29,conjecture,
? [X0,X1,X2] :
( animal(X0)
& animal(X1)
& grain(X2)
& eats(X1,X2)
& eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
fof(f30,negated_conjecture,
~ ? [X0,X1,X2] :
( animal(X0)
& animal(X1)
& grain(X2)
& eats(X1,X2)
& eats(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f34,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f36,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f38,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f39,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ~ plant(X1) )
| ! [X2] :
( eats(X0,X2)
| ~ much_smaller(X2,X0)
| ! [X3] :
( ~ plant(X3)
| ~ eats(X2,X3) )
| ~ animal(X2) )
| ~ animal(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ~ plant(X1) )
| ! [X2] :
( eats(X0,X2)
| ~ much_smaller(X2,X0)
| ! [X3] :
( ~ plant(X3)
| ~ eats(X2,X3) )
| ~ animal(X2) )
| ~ animal(X0) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ~ snail(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f43,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ~ snail(X1) ),
inference(flattening,[],[f42]) ).
fof(f46,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f47,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f49,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f51,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(flattening,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ grain(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f53,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ grain(X1) ),
inference(flattening,[],[f52]) ).
fof(f56,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f57,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(flattening,[],[f56]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( plant(X1)
& eats(X0,X1) )
| ~ snail(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ animal(X0)
| ~ animal(X1)
| ~ grain(X2)
| ~ eats(X1,X2)
| ~ eats(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f62,plain,
wolf(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f4]) ).
fof(f63,plain,
fox(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f6]) ).
fof(f64,plain,
bird(sK3),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f8]) ).
fof(f66,plain,
snail(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f12]) ).
fof(f67,plain,
plant(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f14]) ).
fof(f68,plain,
grain(sK7),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f16]) ).
fof(f70,plain,
! [X0] :
( ( plant(sK9(X0))
& eats(X0,sK9(X0)) )
| ~ snail(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f59]) ).
fof(f72,plain,
wolf(sK1),
inference(cnf_transformation,[],[f62]) ).
fof(f73,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f74,plain,
fox(sK2),
inference(cnf_transformation,[],[f63]) ).
fof(f75,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f76,plain,
bird(sK3),
inference(cnf_transformation,[],[f64]) ).
fof(f77,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f80,plain,
snail(sK5),
inference(cnf_transformation,[],[f66]) ).
fof(f81,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f82,plain,
plant(sK6),
inference(cnf_transformation,[],[f67]) ).
fof(f83,plain,
grain(sK7),
inference(cnf_transformation,[],[f68]) ).
fof(f84,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ much_smaller(X2,X0)
| ~ plant(X1)
| eats(X0,X2)
| eats(X0,X1)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X2)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f86,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ~ snail(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f88,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f89,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f90,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f91,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ grain(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f93,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f96,plain,
! [X0] :
( eats(X0,sK9(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f97,plain,
! [X0] :
( plant(sK9(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ eats(X1,X2)
| ~ animal(X1)
| ~ grain(X2)
| ~ animal(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f142,definition,
( spl10_4
<=> ! [X2,X0] :
( ~ bird(X0)
| ~ animal(X2)
| ~ eats(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f143,plain,
( ! [X2,X0] :
( ~ eats(X2,X0)
| ~ animal(X2)
| ~ bird(X0) )
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f149,definition,
( spl10_6
<=> ! [X0] : ~ bird(X0) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f150,plain,
( ! [X0] : ~ bird(X0)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f156,plain,
( $false
| ~ spl10_6 ),
inference(resolution,[],[f150,f76]) ).
fof(f157,plain,
~ spl10_6,
inference(avatar_contradiction_clause,[],[f156]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X2)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X2)
| ~ animal(X1)
| ~ fox(X2)
| ~ wolf(X1) ),
inference(resolution,[],[f85,f89]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X2)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X2)
| ~ animal(X1)
| ~ bird(X2)
| ~ fox(X1) ),
inference(resolution,[],[f85,f88]) ).
fof(f169,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X2)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X2)
| ~ animal(X1)
| ~ bird(X1)
| ~ snail(X2) ),
inference(resolution,[],[f85,f86]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X2)
| ~ animal(X1)
| ~ bird(X1)
| ~ snail(X2) ),
inference(forward_subsumption_resolution,[],[f169,f93]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X2)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X1)
| ~ bird(X2)
| ~ fox(X1) ),
inference(forward_subsumption_resolution,[],[f167,f77]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X2)
| ~ animal(X1)
| ~ fox(X2)
| ~ wolf(X1) ),
inference(forward_subsumption_resolution,[],[f166,f90]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X2)
| ~ bird(X1)
| ~ snail(X2) ),
inference(forward_subsumption_resolution,[],[f170,f77]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X2)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ bird(X2)
| ~ fox(X1) ),
inference(forward_subsumption_resolution,[],[f171,f75]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ animal(X1)
| ~ fox(X2)
| ~ wolf(X1) ),
inference(forward_subsumption_resolution,[],[f172,f75]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ bird(X1)
| ~ snail(X2) ),
inference(forward_subsumption_resolution,[],[f173,f81]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X0)
| ~ plant(X3)
| ~ eats(X2,X3)
| ~ fox(X2)
| ~ wolf(X1) ),
inference(forward_subsumption_resolution,[],[f175,f73]) ).
fof(f179,definition,
( spl10_9
<=> ! [X2,X3] :
( ~ plant(X3)
| ~ snail(X2)
| ~ eats(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f180,plain,
( ! [X2,X3] :
( ~ eats(X2,X3)
| ~ snail(X2)
| ~ plant(X3) )
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,definition,
( spl10_10
<=> ! [X0,X1] :
( ~ plant(X0)
| ~ bird(X1)
| eats(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f183,plain,
( ! [X0,X1] :
( eats(X1,X0)
| ~ bird(X1)
| ~ plant(X0) )
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f184,plain,
( spl10_9
| spl10_10 ),
inference(avatar_split_clause,[],[f176,f182,f179]) ).
fof(f186,definition,
( spl10_11
<=> ! [X2,X3] :
( ~ plant(X3)
| ~ fox(X2)
| ~ eats(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
fof(f187,plain,
( ! [X2,X3] :
( ~ eats(X2,X3)
| ~ fox(X2)
| ~ plant(X3) )
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,definition,
( spl10_12
<=> ! [X0,X1] :
( ~ plant(X0)
| ~ wolf(X1)
| eats(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f190,plain,
( ! [X0,X1] :
( eats(X1,X0)
| ~ wolf(X1)
| ~ plant(X0) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( spl10_11
| spl10_12 ),
inference(avatar_split_clause,[],[f177,f189,f186]) ).
fof(f196,plain,
( ! [X0] :
( ~ snail(X0)
| ~ plant(sK9(X0))
| ~ snail(X0) )
| ~ spl10_9 ),
inference(resolution,[],[f180,f96]) ).
fof(f198,plain,
( ! [X0] :
( ~ snail(X0)
| ~ plant(sK9(X0)) )
| ~ spl10_9 ),
inference(duplicate_literal_removal,[],[f196]) ).
fof(f206,plain,
( ! [X0] : ~ snail(X0)
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f198,f97]) ).
fof(f210,plain,
( ! [X2,X0,X1] :
( ~ bird(X0)
| ~ plant(X1)
| ~ animal(X0)
| ~ grain(X1)
| ~ animal(X2)
| ~ eats(X2,X0) )
| ~ spl10_10 ),
inference(resolution,[],[f183,f98]) ).
fof(f215,plain,
( ! [X2,X0,X1] :
( ~ bird(X0)
| ~ animal(X0)
| ~ grain(X1)
| ~ animal(X2)
| ~ eats(X2,X0) )
| ~ spl10_10 ),
inference(forward_subsumption_resolution,[],[f210,f84]) ).
fof(f224,plain,
( ! [X2,X0,X1] :
( ~ bird(X0)
| ~ grain(X1)
| ~ animal(X2)
| ~ eats(X2,X0) )
| ~ spl10_10 ),
inference(forward_subsumption_resolution,[],[f215,f77]) ).
fof(f226,definition,
( spl10_17
<=> ! [X1] : ~ grain(X1) ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f227,plain,
( ! [X1] : ~ grain(X1)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( spl10_17
| spl10_4
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f224,f182,f142,f226]) ).
fof(f237,plain,
( $false
| ~ spl10_9 ),
inference(resolution,[],[f206,f80]) ).
fof(f238,plain,
~ spl10_9,
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f250,plain,
( $false
| ~ spl10_17 ),
inference(resolution,[],[f227,f83]) ).
fof(f251,plain,
~ spl10_17,
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f287,definition,
( spl10_21
<=> ! [X1] : ~ plant(X1) ),
introduced(definition,[new_symbols(definition,[spl10_21])],[avatar_definition]) ).
fof(f288,plain,
( ! [X1] : ~ plant(X1)
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f313,definition,
( spl10_23
<=> ! [X0] : ~ wolf(X0) ),
introduced(definition,[new_symbols(definition,[spl10_23])],[avatar_definition]) ).
fof(f314,plain,
( ! [X0] : ~ wolf(X0)
| ~ spl10_23 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f333,plain,
( ! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X2)
| eats(X1,X0)
| ~ plant(X3)
| ~ bird(X2)
| ~ fox(X1) )
| ~ spl10_10 ),
inference(forward_subsumption_resolution,[],[f174,f183]) ).
fof(f334,plain,
( ! [X2,X3,X0,X1] :
( ~ plant(X0)
| eats(X1,X2)
| ~ plant(X3)
| ~ bird(X2)
| ~ fox(X1) )
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_subsumption_resolution,[],[f333,f187]) ).
fof(f336,definition,
( spl10_25
<=> ! [X2,X1] :
( eats(X1,X2)
| ~ fox(X1)
| ~ bird(X2) ) ),
introduced(definition,[new_symbols(definition,[spl10_25])],[avatar_definition]) ).
fof(f337,plain,
( ! [X2,X1] :
( eats(X1,X2)
| ~ fox(X1)
| ~ bird(X2) )
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f338,plain,
( spl10_21
| spl10_25
| spl10_21
| ~ spl10_10
| ~ spl10_11 ),
inference(avatar_split_clause,[],[f334,f186,f182,f287,f336,f287]) ).
fof(f339,plain,
( $false
| ~ spl10_21 ),
inference(resolution,[],[f288,f82]) ).
fof(f344,plain,
~ spl10_21,
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f352,plain,
( ! [X0,X1] :
( ~ wolf(X0)
| ~ plant(X1)
| ~ wolf(X0)
| ~ grain(X1) )
| ~ spl10_12 ),
inference(resolution,[],[f190,f91]) ).
fof(f358,plain,
( ! [X0,X1] :
( ~ wolf(X0)
| ~ plant(X1)
| ~ grain(X1) )
| ~ spl10_12 ),
inference(duplicate_literal_removal,[],[f352]) ).
fof(f361,plain,
( ! [X0,X1] :
( ~ wolf(X0)
| ~ grain(X1) )
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f358,f84]) ).
fof(f364,plain,
( spl10_17
| spl10_23
| ~ spl10_12 ),
inference(avatar_split_clause,[],[f361,f189,f313,f226]) ).
fof(f395,plain,
( $false
| ~ spl10_23 ),
inference(resolution,[],[f314,f72]) ).
fof(f396,plain,
~ spl10_23,
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f403,plain,
( ! [X0,X1] :
( ~ fox(X0)
| ~ bird(X1)
| ~ animal(X0)
| ~ bird(X1) )
| ~ spl10_4
| ~ spl10_25 ),
inference(resolution,[],[f337,f143]) ).
fof(f406,plain,
( ! [X0,X1] :
( ~ fox(X0)
| ~ bird(X1)
| ~ animal(X0) )
| ~ spl10_4
| ~ spl10_25 ),
inference(duplicate_literal_removal,[],[f403]) ).
fof(f407,plain,
( ! [X0,X1] :
( ~ fox(X0)
| ~ bird(X1) )
| ~ spl10_4
| ~ spl10_25 ),
inference(forward_subsumption_resolution,[],[f406,f75]) ).
fof(f420,definition,
( spl10_31
<=> ! [X0] : ~ fox(X0) ),
introduced(definition,[new_symbols(definition,[spl10_31])],[avatar_definition]) ).
fof(f421,plain,
( ! [X0] : ~ fox(X0)
| ~ spl10_31 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( spl10_6
| spl10_31
| ~ spl10_4
| ~ spl10_25 ),
inference(avatar_split_clause,[],[f407,f336,f142,f420,f149]) ).
fof(f431,plain,
( $false
| ~ spl10_31 ),
inference(resolution,[],[f421,f74]) ).
fof(f432,plain,
~ spl10_31,
inference(avatar_contradiction_clause,[],[f431]) ).
cnf(s6,plain,
~ spl10_6,
inference(sat_conversion,[],[f157]) ).
cnf(s8,plain,
( spl10_9
| spl10_10 ),
inference(sat_conversion,[],[f184]) ).
cnf(s9,plain,
( spl10_11
| spl10_12 ),
inference(sat_conversion,[],[f191]) ).
cnf(s13,plain,
( spl10_4
| ~ spl10_10
| spl10_17 ),
inference(sat_conversion,[],[f228]) ).
cnf(s15,plain,
~ spl10_9,
inference(sat_conversion,[],[f238]) ).
cnf(s18,plain,
~ spl10_17,
inference(sat_conversion,[],[f251]) ).
cnf(s35,plain,
( spl10_21
| ~ spl10_11
| ~ spl10_10
| spl10_21
| spl10_25 ),
inference(sat_conversion,[],[f338]) ).
cnf(s36,plain,
( ~ spl10_10
| ~ spl10_11
| spl10_21
| spl10_25 ),
inference(rat,[],[s35]) ).
cnf(s38,plain,
~ spl10_21,
inference(sat_conversion,[],[f344]) ).
cnf(s43,plain,
( ~ spl10_12
| spl10_17
| spl10_23 ),
inference(sat_conversion,[],[f364]) ).
cnf(s52,plain,
~ spl10_23,
inference(sat_conversion,[],[f396]) ).
cnf(s56,plain,
( ~ spl10_4
| spl10_6
| ~ spl10_25
| spl10_31 ),
inference(sat_conversion,[],[f422]) ).
cnf(s59,plain,
~ spl10_31,
inference(sat_conversion,[],[f432]) ).
cnf(s61,plain,
( ~ spl10_4
| spl10_6
| ~ spl10_25 ),
inference(rat,[],[s56,s59]) ).
cnf(s63,plain,
( ~ spl10_12
| spl10_17 ),
inference(rat,[],[s43,s52]) ).
cnf(s67,plain,
( ~ spl10_10
| ~ spl10_11
| spl10_25 ),
inference(rat,[],[s36,s38]) ).
cnf(s74,plain,
~ spl10_12,
inference(rat,[],[s63,s18]) ).
cnf(s75,plain,
( spl10_4
| ~ spl10_10 ),
inference(rat,[],[s13,s18]) ).
cnf(s76,plain,
spl10_11,
inference(rat,[],[s9,s74]) ).
cnf(s78,plain,
spl10_10,
inference(rat,[],[s8,s15]) ).
cnf(s81,plain,
spl10_25,
inference(rat,[],[s67,s76,s78]) ).
cnf(s82,plain,
spl10_4,
inference(rat,[],[s75,s78]) ).
cnf(s84,plain,
spl10_6,
inference(rat,[],[s61,s81,s82]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s6,s84]) ).
fof(f433,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/5.40 % Computer : n001.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.11/5.40 % CPULimit : 300
% 0.11/5.40 % WCLimit : 300
% 0.11/5.40 % DateTime : Sun Sep 27 22:39:33 UTC 2026
% 0.11/5.40 % CPUTime :
% 0.11/5.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/5.43 Running first-order model finding
% 0.11/5.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.48 % (4034406)Will run a generic schedule for satisfiability detection.
% 0.11/5.48 % (4034412)% WARNING: option uhcvi not known.
% 0.11/5.48 % (4034413)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=964612767:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/5.48 % (4034412)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=739691647:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/5.48 % (4034411)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2604855990_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/5.48 % (4034414)dis+10_1_sil=32000:sp=arity:random_seed=2543205951:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/5.48 % (4034415)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1333902527:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/5.48 % (4034416)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=669128078:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/5.48 % (4034417)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=465909591:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/5.48 % TRYING [1]
% 0.11/5.48 % TRYING [2]
% 0.11/5.48 % TRYING [3]
% 0.11/5.48 % TRYING [4]
% 0.11/5.48 % (4034414) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4034406-4034414"...
% 0.11/5.48 % (4034412) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4034406-4034412"...
% 0.11/5.48 % (4034415) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4034406-4034415"...
% 0.11/5.48 % (4034414)...printing done.
% 0.11/5.48 % (4034412)...printing done.
% 0.11/5.48 % (4034416) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4034406-4034416"...
% 0.11/5.48 % (4034415)...printing done.
% 0.11/5.48 % (4034414)Refutation found. Thanks to Tanya!
% 0.11/5.48 % SZS status Theorem for theBenchmark
% 0.11/5.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/5.48 % (4034414)------------------------------
% 0.11/5.48 % (4034414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/5.48 % (4034414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/5.48 % (4034414)CaDiCaL version: 2.1.3
% 0.11/5.48 % (4034414)Termination reason: Refutation
% 0.11/5.48 % (4034414)Time elapsed: 0.007 s
% 0.11/5.48 % (4034414)Peak memory usage: 12 MB
% 0.11/5.48 % (4034414)Instructions burned: 9 (million)
% 0.11/5.48 % (4034406)Success in time 0.041 s
% 0.11/5.48 % Vampire exiting
%------------------------------------------------------------------------------