%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:31:18 PM UTC 2026
% Result : Theorem 2.24s 1.31s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 159 ( 35 unt; 9 def)
% Number of atoms : 452 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 568 ( 275 ~; 249 |; 19 &)
% ( 9 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 178 ( 0 sgn 163 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).
fof(f5,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_animal) ).
fof(f6,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).
fof(f7,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_animal) ).
fof(f8,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).
fof(f9,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_animal) ).
fof(f12,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).
fof(f13,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_animal) ).
fof(f14,axiom,
? [X0] : plant(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plant_type) ).
fof(f16,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).
fof(f17,axiom,
! [X0] :
( grain(X0)
=> plant(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',pel47_7) ).
fof(f19,axiom,
! [X0,X1] :
( ( bird(X0)
& snail(X1) )
=> much_smaller(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
fof(f21,axiom,
! [X0,X1] :
( ( bird(X0)
& fox(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
fof(f22,axiom,
! [X0,X1] :
( ( fox(X0)
& wolf(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
fof(f23,axiom,
! [X0,X1] :
( ( wolf(X0)
& fox(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
fof(f24,axiom,
! [X0,X1] :
( ( wolf(X0)
& grain(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).
fof(f26,axiom,
! [X0,X1] :
( ( bird(X0)
& snail(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
fof(f28,axiom,
! [X0] :
( snail(X0)
=> ? [X1] :
( plant(X1)
& eats(X0,X1) ) ),
file('/export/starexec/sandbox/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/sandbox/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] :
( plant(X0)
| ~ grain(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] :
( ~ snail(X1)
| ~ bird(X0)
| much_smaller(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f88,plain,
! [X0,X1] :
( ~ bird(X0)
| much_smaller(X0,X1)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f89,plain,
! [X0,X1] :
( ~ fox(X0)
| much_smaller(X0,X1)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f90,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f91,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f93,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,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] :
( ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,X2)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f99,plain,
! [X0,X1] :
( ~ eats(X0,sK7)
| ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,X0) ),
inference(resolution,[],[f83,f98]) ).
fof(f112,plain,
animal(sK2),
inference(resolution,[],[f74,f75]) ).
fof(f113,plain,
animal(sK3),
inference(resolution,[],[f76,f77]) ).
fof(f115,plain,
animal(sK5),
inference(resolution,[],[f80,f81]) ).
fof(f116,plain,
! [X0] :
( ~ eats(X0,sK2)
| ~ wolf(X0) ),
inference(resolution,[],[f90,f74]) ).
fof(f117,plain,
! [X0] :
( ~ eats(X0,sK7)
| ~ wolf(X0) ),
inference(resolution,[],[f91,f83]) ).
fof(f119,plain,
! [X0] :
( ~ eats(X0,sK5)
| ~ bird(X0) ),
inference(resolution,[],[f93,f80]) ).
fof(f120,plain,
! [X0] :
( much_smaller(sK5,X0)
| ~ bird(X0) ),
inference(resolution,[],[f86,f80]) ).
fof(f122,plain,
! [X0] :
( much_smaller(sK3,X0)
| ~ fox(X0) ),
inference(resolution,[],[f88,f76]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ bird(X0)
| ~ plant(X1)
| eats(X0,sK5)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK5,X2)
| ~ animal(sK5)
| ~ animal(X0) ),
inference(resolution,[],[f120,f85]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ bird(X0)
| ~ plant(X1)
| eats(X0,sK5)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK5,X2)
| ~ animal(sK5) ),
inference(forward_subsumption_resolution,[],[f123,f77]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ bird(X0)
| ~ plant(X1)
| eats(X0,sK5)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK5,X2) ),
inference(forward_subsumption_resolution,[],[f124,f115]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ bird(X0)
| ~ plant(X1)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK5,X2) ),
inference(forward_subsumption_resolution,[],[f125,f119]) ).
fof(f128,definition,
( spl10_3
<=> ! [X2] :
( ~ plant(X2)
| ~ eats(sK5,X2) ) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f129,plain,
( ! [X2] :
( ~ eats(sK5,X2)
| ~ plant(X2) )
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,definition,
( spl10_4
<=> ! [X0,X1] :
( ~ bird(X0)
| eats(X0,X1)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f132,plain,
( ! [X0,X1] :
( ~ bird(X0)
| eats(X0,X1)
| ~ plant(X1) )
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f126,f131,f128]) ).
fof(f134,plain,
! [X0] :
( much_smaller(sK2,X0)
| ~ wolf(X0) ),
inference(resolution,[],[f89,f74]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ fox(X0)
| ~ plant(X1)
| eats(X0,sK3)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK3,X2)
| ~ animal(sK3)
| ~ animal(X0) ),
inference(resolution,[],[f122,f85]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ fox(X0)
| ~ plant(X1)
| eats(X0,sK3)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK3,X2)
| ~ animal(sK3) ),
inference(forward_subsumption_resolution,[],[f136,f75]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ fox(X0)
| ~ plant(X1)
| eats(X0,sK3)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK3,X2) ),
inference(forward_subsumption_resolution,[],[f137,f113]) ).
fof(f140,definition,
( spl10_5
<=> ! [X2] :
( ~ plant(X2)
| ~ eats(sK3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f141,plain,
( ! [X2] :
( ~ eats(sK3,X2)
| ~ plant(X2) )
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,definition,
( spl10_6
<=> ! [X0,X1] :
( ~ fox(X0)
| eats(X0,X1)
| eats(X0,sK3)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f144,plain,
( ! [X0,X1] :
( eats(X0,sK3)
| eats(X0,X1)
| ~ fox(X0)
| ~ plant(X1) )
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f145,plain,
( spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f138,f143,f140]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ wolf(X0)
| ~ plant(X1)
| eats(X0,sK2)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK2,X2)
| ~ animal(sK2)
| ~ animal(X0) ),
inference(resolution,[],[f134,f85]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ wolf(X0)
| ~ plant(X1)
| eats(X0,sK2)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK2,X2)
| ~ animal(sK2) ),
inference(forward_subsumption_resolution,[],[f146,f73]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ wolf(X0)
| ~ plant(X1)
| eats(X0,sK2)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK2,X2) ),
inference(forward_subsumption_resolution,[],[f147,f112]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ wolf(X0)
| ~ plant(X1)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK2,X2) ),
inference(forward_subsumption_resolution,[],[f148,f116]) ).
fof(f151,definition,
( spl10_7
<=> ! [X2] :
( ~ plant(X2)
| ~ eats(sK2,X2) ) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f152,plain,
( ! [X2] :
( ~ eats(sK2,X2)
| ~ plant(X2) )
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,definition,
( spl10_8
<=> ! [X0,X1] :
( ~ wolf(X0)
| eats(X0,X1)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f155,plain,
( ! [X0,X1] :
( ~ wolf(X0)
| eats(X0,X1)
| ~ plant(X1) )
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( spl10_7
| spl10_8 ),
inference(avatar_split_clause,[],[f149,f154,f151]) ).
fof(f158,plain,
( ~ plant(sK9(sK5))
| ~ snail(sK5)
| ~ spl10_3 ),
inference(resolution,[],[f129,f96]) ).
fof(f169,plain,
( ~ snail(sK5)
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f158,f97]) ).
fof(f171,plain,
( $false
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f169,f80]) ).
fof(f172,plain,
~ spl10_3,
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f191,plain,
( ! [X0] :
( eats(sK3,X0)
| ~ plant(X0) )
| ~ spl10_4 ),
inference(resolution,[],[f132,f76]) ).
fof(f192,plain,
( ! [X0] : ~ plant(X0)
| ~ spl10_4
| ~ spl10_5 ),
inference(forward_subsumption_resolution,[],[f191,f141]) ).
fof(f194,plain,
( $false
| ~ spl10_4
| ~ spl10_5 ),
inference(resolution,[],[f192,f82]) ).
fof(f197,plain,
( ~ spl10_4
| ~ spl10_5 ),
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f206,definition,
( spl10_13
<=> ! [X0] : ~ plant(X0) ),
introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).
fof(f207,plain,
( ! [X0] : ~ plant(X0)
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f211,plain,
( ! [X0] :
( ~ plant(sK7)
| ~ animal(X0)
| ~ animal(sK3)
| ~ eats(X0,sK3) )
| ~ spl10_4 ),
inference(resolution,[],[f191,f99]) ).
fof(f224,plain,
( ! [X0] :
( ~ plant(sK7)
| ~ animal(X0)
| ~ eats(X0,sK3) )
| ~ spl10_4 ),
inference(forward_subsumption_resolution,[],[f211,f113]) ).
fof(f226,definition,
( spl10_16
<=> plant(sK7) ),
introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).
fof(f227,plain,
( plant(sK7)
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( ~ plant(sK7)
| spl10_16 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f231,definition,
( spl10_17
<=> ! [X0] :
( ~ animal(X0)
| ~ eats(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f232,plain,
( ! [X0] :
( ~ eats(X0,sK3)
| ~ animal(X0) )
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f233,plain,
( spl10_17
| ~ spl10_16
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f224,f131,f226,f231]) ).
fof(f235,plain,
( ~ grain(sK7)
| spl10_16 ),
inference(resolution,[],[f228,f84]) ).
fof(f236,plain,
( $false
| spl10_16 ),
inference(forward_subsumption_resolution,[],[f235,f83]) ).
fof(f237,plain,
spl10_16,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f238,plain,
( ! [X0,X1] :
( ~ animal(X0)
| eats(X0,X1)
| ~ fox(X0)
| ~ plant(X1) )
| ~ spl10_6
| ~ spl10_17 ),
inference(resolution,[],[f232,f144]) ).
fof(f240,plain,
( ! [X0,X1] :
( ~ fox(X0)
| eats(X0,X1)
| ~ plant(X1) )
| ~ spl10_6
| ~ spl10_17 ),
inference(forward_subsumption_resolution,[],[f238,f75]) ).
fof(f241,plain,
( ! [X0] :
( ~ plant(X0)
| eats(sK2,X0) )
| ~ spl10_6
| ~ spl10_17 ),
inference(resolution,[],[f240,f74]) ).
fof(f242,plain,
( ! [X0] : ~ plant(X0)
| ~ spl10_6
| ~ spl10_7
| ~ spl10_17 ),
inference(forward_subsumption_resolution,[],[f241,f152]) ).
fof(f243,plain,
( spl10_13
| ~ spl10_6
| ~ spl10_7
| ~ spl10_17 ),
inference(avatar_split_clause,[],[f242,f231,f151,f143,f206]) ).
fof(f244,plain,
( ! [X0] :
( ~ plant(X0)
| eats(sK1,X0) )
| ~ spl10_8 ),
inference(resolution,[],[f155,f72]) ).
fof(f253,plain,
( eats(sK1,sK7)
| ~ spl10_8
| ~ spl10_16 ),
inference(resolution,[],[f227,f244]) ).
fof(f264,plain,
( ~ wolf(sK1)
| ~ spl10_8
| ~ spl10_16 ),
inference(resolution,[],[f253,f117]) ).
fof(f267,plain,
( $false
| ~ spl10_8
| ~ spl10_16 ),
inference(forward_subsumption_resolution,[],[f264,f72]) ).
fof(f268,plain,
( ~ spl10_8
| ~ spl10_16 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f271,plain,
( $false
| ~ spl10_13 ),
inference(resolution,[],[f207,f82]) ).
fof(f276,plain,
~ spl10_13,
inference(avatar_contradiction_clause,[],[f271]) ).
cnf(s2,plain,
( spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f133]) ).
cnf(s3,plain,
( spl10_5
| spl10_6 ),
inference(sat_conversion,[],[f145]) ).
cnf(s4,plain,
( spl10_7
| spl10_8 ),
inference(sat_conversion,[],[f156]) ).
cnf(s6,plain,
~ spl10_3,
inference(sat_conversion,[],[f172]) ).
cnf(s9,plain,
( ~ spl10_4
| ~ spl10_5 ),
inference(sat_conversion,[],[f197]) ).
cnf(s13,plain,
( ~ spl10_4
| ~ spl10_16
| spl10_17 ),
inference(sat_conversion,[],[f233]) ).
cnf(s14,plain,
spl10_16,
inference(sat_conversion,[],[f237]) ).
cnf(s15,plain,
( ~ spl10_6
| ~ spl10_7
| spl10_13
| ~ spl10_17 ),
inference(sat_conversion,[],[f243]) ).
cnf(s17,plain,
( ~ spl10_8
| ~ spl10_16 ),
inference(sat_conversion,[],[f268]) ).
cnf(s21,plain,
~ spl10_13,
inference(sat_conversion,[],[f276]) ).
cnf(s22,plain,
( ~ spl10_6
| ~ spl10_7
| ~ spl10_17 ),
inference(rat,[],[s15,s21]) ).
cnf(s23,plain,
~ spl10_8,
inference(rat,[],[s17,s14]) ).
cnf(s24,plain,
( ~ spl10_4
| spl10_17 ),
inference(rat,[],[s13,s14]) ).
cnf(s27,plain,
spl10_7,
inference(rat,[],[s4,s23]) ).
cnf(s28,plain,
spl10_4,
inference(rat,[],[s2,s6]) ).
cnf(s29,plain,
spl10_17,
inference(rat,[],[s24,s28]) ).
cnf(s31,plain,
~ spl10_5,
inference(rat,[],[s9,s28]) ).
cnf(s32,plain,
~ spl10_6,
inference(rat,[],[s22,s27,s29]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s3,s32,s31]) ).
fof(f277,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+3 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n017.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 22:29:03 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.24/1.31 % (2999563)Detected formulas, will run a generic FOF schedule.
% 2.24/1.31 % (2999569)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=1651711983:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.24/1.31 % (2999568)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=2686139426:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.24/1.31 % (2999573)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=679540781:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.24/1.31 % (2999571)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1827979312:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.24/1.31 % (2999574)dis-21_1_sil=8000:lcm=predicate:random_seed=3023880081: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)
% 2.24/1.31 % (2999570)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=3177689276:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.24/1.31 % (2999571)Refutation not found, incomplete strategy
% 2.24/1.31 % (2999571)------------------------------
% 2.24/1.31 % (2999571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/1.31 % (2999571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/1.31 % (2999571)CaDiCaL version: 2.1.3
% 2.24/1.31 % (2999571)Termination reason: Refutation not found, incomplete strategy
% 2.24/1.31 % (2999571)Time elapsed: 0.001 s
% 2.24/1.31 % (2999571)Peak memory usage: 86 MB
% 2.24/1.31 % (2999573)First to succeed.
% 2.24/1.31 % (2999573)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2999563"
% 2.24/1.31 % (2999574)Also succeeded, but the first one will report.
% 2.24/1.31 % (2999572)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2651325759:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.24/1.31 % (2999572)Instruction limit reached!
% 2.24/1.31 % (2999572)------------------------------
% 2.24/1.31 % (2999572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/1.31 % (2999572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/1.31 % (2999572)CaDiCaL version: 2.1.3
% 2.24/1.31 % (2999572)Termination reason: Instruction limit
% 2.24/1.31 % (2999572)Termination phase: Saturation
% 2.24/1.31 % (2999572)Time elapsed: 0.055 s
% 2.24/1.31 % (2999572)Peak memory usage: 87 MB
% 2.24/1.31 % (2999572)Instructions burned: 120 (million)
% 2.24/1.31 % (2999571)------------------------------
% 2.24/1.31 % (2999571)------------------------------
% 2.24/1.31 % (2999582)lrs+10_1_sil=8000:sp=occurrence:random_seed=1198343531:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.24/1.31 % (2999582)Also succeeded, but the first one will report.
% 2.24/1.31 % (2999573)Refutation found. Thanks to Tanya!
% 2.24/1.31 % SZS status Theorem for theBenchmark
% 2.24/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.41 % (2999573)------------------------------
% 0.17/1.41 % (2999573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.41 % (2999573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.41 % (2999573)CaDiCaL version: 2.1.3
% 0.17/1.41 % (2999573)Termination reason: Refutation
% 0.17/1.41 % (2999573)Time elapsed: 0.007 s
% 0.17/1.41 % (2999573)Peak memory usage: 89 MB
% 0.17/1.41 % (2999573)Instructions burned: 7 (million)
% 0.17/1.41 % (2999573)------------------------------
% 0.17/1.41 % (2999573)------------------------------
% 0.17/1.41 % (2999563)Success in time 0.429 s
% 0.17/1.41 % Vampire exiting
%------------------------------------------------------------------------------