%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:31:58 PM UTC 2026
% Result : Theorem 0.14s 0.46s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 25
% Syntax : Number of formulae : 161 ( 27 unt; 6 def)
% Number of atoms : 549 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 699 ( 311 ~; 345 |; 23 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 197 ( 0 sgn 182 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).
fof(f2,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_2) ).
fof(f3,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).
fof(f4,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_2) ).
fof(f5,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f6,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_2) ).
fof(f8,axiom,
? [X0] : caterpillar(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_4_2) ).
fof(f9,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_1) ).
fof(f10,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_2) ).
fof(f11,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_1) ).
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(X1)
& ( snail(X0)
| caterpillar(X0) ) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f15,axiom,
! [X0,X1] :
( ( bird(X0)
& fox(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f16,axiom,
! [X0,X1] :
( ( fox(X0)
& wolf(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f17,axiom,
! [X0,X1] :
( ( wolf(X0)
& ( fox(X1)
| grain(X1) ) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f19,axiom,
! [X0,X1] :
( ( bird(X0)
& snail(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(f20,axiom,
! [X0] :
( ( caterpillar(X0)
| snail(X0) )
=> ? [X1] :
( plant(X1)
& eats(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).
fof(f21,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(f22,negated_conjecture,
~ ? [X0,X1] :
( animal(X0)
& animal(X1)
& ? [X2] :
( grain(X2)
& eats(X1,X2)
& eats(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f24,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f27,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f29,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(f30,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,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X1)
| ( ~ snail(X0)
& ~ caterpillar(X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f32,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X1)
| ( ~ snail(X0)
& ~ caterpillar(X0) ) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f34,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f36,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ( ~ fox(X1)
& ~ grain(X1) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f38,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ( ~ fox(X1)
& ~ grain(X1) ) ),
inference(flattening,[],[f37]) ).
fof(f41,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f42,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( plant(X1)
& eats(X0,X1) )
| ( ~ caterpillar(X0)
& ~ snail(X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f44,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ! [X2] :
( ~ grain(X2)
| ~ eats(X1,X2)
| ~ eats(X0,X1) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f45,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
wolf(sK0),
inference(cnf_transformation,[],[f2]) ).
fof(f47,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
fox(sK1),
inference(cnf_transformation,[],[f4]) ).
fof(f49,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f50,plain,
bird(sK2),
inference(cnf_transformation,[],[f6]) ).
fof(f52,plain,
caterpillar(sK3),
inference(cnf_transformation,[],[f8]) ).
fof(f53,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f54,plain,
snail(sK4),
inference(cnf_transformation,[],[f10]) ).
fof(f55,plain,
grain(sK5),
inference(cnf_transformation,[],[f11]) ).
fof(f56,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( ~ plant(X1)
| ~ eats(X2,X3)
| ~ plant(X3)
| ~ much_smaller(X2,X0)
| ~ animal(X2)
| eats(X0,X2)
| ~ animal(X0)
| eats(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f59,plain,
! [X0,X1] :
( ~ snail(X0)
| ~ bird(X1)
| much_smaller(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f61,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f62,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f65,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f67,plain,
! [X0] :
( plant(sK6(X0))
| ~ caterpillar(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f68,plain,
! [X0] :
( ~ snail(X0)
| eats(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f69,plain,
! [X0] :
( ~ snail(X0)
| plant(sK6(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f71,plain,
! [X0] :
( snail(X0)
| animal(X0) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f72,plain,
~ snail(sK4),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f73,plain,
~ grain(sK5),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f74,plain,
! [X0] :
( grain(X0)
| plant(X0) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f75,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X1)
| snail(X0) ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f76,plain,
! [X0,X1] :
( ~ wolf(X0)
| grain(X1)
| ~ eats(X0,X1) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f77,plain,
! [X0,X1] :
( ~ bird(X0)
| snail(X1)
| ~ eats(X0,X1) ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f78,plain,
! [X0] :
( plant(sK6(X0))
| snail(X0) ),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f79,plain,
! [X0] :
( eats(X0,sK6(X0))
| snail(X0) ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ eats(X1,X2)
| ~ eats(X0,X1)
| grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f82,plain,
animal(sK1),
inference(resolution,[],[f47,f48]) ).
fof(f83,plain,
animal(sK2),
inference(resolution,[],[f49,f50]) ).
fof(f86,plain,
plant(sK5),
inference(resolution,[],[f74,f73]) ).
fof(f105,plain,
! [X0] :
( ~ eats(sK0,X0)
| grain(X0) ),
inference(resolution,[],[f76,f46]) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( ~ caterpillar(X3)
| ~ plant(X1)
| ~ much_smaller(X0,X2)
| ~ animal(X0)
| eats(X2,X0)
| ~ animal(X2)
| eats(X2,sK6(X3))
| ~ eats(X0,X1) ),
inference(resolution,[],[f57,f67]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ plant(X1)
| ~ eats(X0,X1)
| ~ much_smaller(X0,X2)
| ~ animal(X0)
| eats(X2,X0)
| ~ animal(X2)
| eats(X2,sK5) ),
inference(resolution,[],[f86,f57]) ).
fof(f139,definition,
( spl7_7
<=> ! [X0] :
( ~ eats(X0,sK2)
| ~ animal(X0) ) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f140,plain,
( ! [X0] :
( ~ eats(X0,sK2)
| ~ animal(X0) )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ plant(X0)
| ~ much_smaller(X1,X2)
| ~ animal(X1)
| eats(X2,X1)
| ~ animal(X2)
| eats(X2,sK6(sK3))
| ~ eats(X1,X0) ),
inference(resolution,[],[f108,f52]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ eats(X0,sK6(X1))
| ~ much_smaller(X0,X2)
| ~ animal(X0)
| eats(X2,X0)
| ~ animal(X2)
| eats(X2,sK5)
| snail(X1) ),
inference(resolution,[],[f111,f78]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ caterpillar(X1)
| ~ much_smaller(X0,X2)
| ~ animal(X0)
| eats(X2,X0)
| ~ animal(X2)
| eats(X2,sK5)
| ~ eats(X0,sK6(X1)) ),
inference(resolution,[],[f111,f67]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ eats(X0,sK6(X2))
| ~ animal(X0)
| eats(X1,X0)
| ~ animal(X1)
| eats(X1,sK6(sK3))
| ~ much_smaller(X0,X1)
| snail(X2) ),
inference(resolution,[],[f162,f78]) ).
fof(f168,plain,
! [X0,X1] :
( ~ eats(X0,sK5)
| ~ animal(X0)
| eats(X1,X0)
| ~ animal(X1)
| eats(X1,sK6(sK3))
| ~ much_smaller(X0,X1) ),
inference(resolution,[],[f162,f86]) ).
fof(f192,definition,
( spl7_13
<=> ! [X1] : snail(X1) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f193,plain,
( ! [X1] : snail(X1)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f198,plain,
( $false
| ~ spl7_13 ),
inference(backward_subsumption_resolution,[],[f72,f193]) ).
fof(f199,plain,
~ spl7_13,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f203,plain,
! [X0,X1] :
( ~ much_smaller(X0,X1)
| ~ animal(X0)
| eats(X1,X0)
| ~ animal(X1)
| eats(X1,sK5)
| snail(X0)
| snail(X0) ),
inference(resolution,[],[f163,f79]) ).
fof(f205,plain,
! [X0,X1] :
( ~ much_smaller(X0,X1)
| ~ animal(X0)
| eats(X1,X0)
| ~ animal(X1)
| eats(X1,sK5)
| snail(X0) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f207,plain,
! [X0,X1] :
( ~ much_smaller(X0,X1)
| eats(X1,X0)
| ~ animal(X1)
| eats(X1,sK5)
| snail(X0) ),
inference(forward_subsumption_resolution,[],[f205,f71]) ).
fof(f209,plain,
! [X0,X1] :
( ~ eats(X0,sK6(sK3))
| ~ animal(X0)
| eats(X1,X0)
| ~ animal(X1)
| eats(X1,sK5)
| ~ much_smaller(X0,X1) ),
inference(resolution,[],[f164,f52]) ).
fof(f210,plain,
! [X0,X1] :
( ~ animal(X0)
| eats(X1,X0)
| ~ animal(X1)
| eats(X1,sK6(sK3))
| ~ much_smaller(X0,X1)
| snail(X0)
| snail(X0) ),
inference(resolution,[],[f166,f79]) ).
fof(f212,plain,
! [X0,X1] :
( ~ animal(X0)
| eats(X1,X0)
| ~ animal(X1)
| eats(X1,sK6(sK3))
| ~ much_smaller(X0,X1)
| snail(X0) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f214,plain,
! [X0,X1] :
( ~ much_smaller(X0,X1)
| ~ animal(X1)
| eats(X1,sK6(sK3))
| eats(X1,X0)
| snail(X0) ),
inference(forward_subsumption_resolution,[],[f212,f71]) ).
fof(f236,definition,
( spl7_17
<=> ! [X1] :
( ~ much_smaller(sK2,X1)
| eats(X1,sK5)
| ~ animal(X1)
| eats(X1,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
fof(f237,plain,
( ! [X1] :
( ~ much_smaller(sK2,X1)
| eats(X1,sK5)
| ~ animal(X1)
| eats(X1,sK2) )
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f243,plain,
( ! [X1] :
( ~ much_smaller(sK2,X1)
| eats(X1,sK5)
| ~ animal(X1) )
| ~ spl7_7
| ~ spl7_17 ),
inference(forward_subsumption_resolution,[],[f237,f140]) ).
fof(f246,plain,
( ! [X0] :
( eats(X0,sK5)
| ~ animal(X0)
| ~ bird(sK2)
| ~ fox(X0) )
| ~ spl7_7
| ~ spl7_17 ),
inference(resolution,[],[f243,f60]) ).
fof(f249,plain,
( ! [X0] :
( eats(X0,sK5)
| ~ animal(X0)
| ~ fox(X0) )
| ~ spl7_7
| ~ spl7_17 ),
inference(forward_subsumption_resolution,[],[f246,f50]) ).
fof(f253,definition,
( spl7_19
<=> ! [X0] :
( eats(X0,sK5)
| ~ bird(X0) ) ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
fof(f254,plain,
( ! [X0] :
( ~ bird(X0)
| eats(X0,sK5) )
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( ! [X0] :
( ~ fox(X0)
| eats(X0,sK5) )
| ~ spl7_7
| ~ spl7_17 ),
inference(forward_subsumption_resolution,[],[f249,f47]) ).
fof(f262,definition,
( spl7_21
<=> ! [X0] :
( eats(X0,sK5)
| ~ wolf(X0) ) ),
introduced(definition,[new_symbols(definition,[spl7_21])],[avatar_definition]) ).
fof(f263,plain,
( ! [X0] :
( ~ wolf(X0)
| eats(X0,sK5) )
| ~ spl7_21 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f266,plain,
( eats(sK1,sK5)
| ~ spl7_7
| ~ spl7_17 ),
inference(resolution,[],[f256,f48]) ).
fof(f271,plain,
( ! [X0] :
( ~ eats(X0,sK1)
| grain(sK5)
| ~ animal(sK1)
| ~ animal(X0) )
| ~ spl7_7
| ~ spl7_17 ),
inference(resolution,[],[f266,f80]) ).
fof(f272,plain,
( ! [X0] :
( ~ eats(X0,sK1)
| ~ animal(sK1)
| ~ animal(X0) )
| ~ spl7_7
| ~ spl7_17 ),
inference(forward_subsumption_resolution,[],[f271,f73]) ).
fof(f276,plain,
( ! [X0] :
( ~ eats(X0,sK1)
| ~ animal(X0) )
| ~ spl7_7
| ~ spl7_17 ),
inference(forward_subsumption_resolution,[],[f272,f82]) ).
fof(f282,plain,
! [X0,X1] :
( eats(X0,X1)
| ~ animal(X0)
| eats(X0,sK5)
| snail(X1)
| ~ bird(X0)
| snail(X1) ),
inference(resolution,[],[f207,f75]) ).
fof(f286,plain,
! [X0,X1] :
( eats(X0,X1)
| ~ animal(X0)
| eats(X0,sK5)
| snail(X1)
| ~ bird(X0) ),
inference(duplicate_literal_removal,[],[f282]) ).
fof(f287,plain,
! [X0,X1] :
( ~ animal(X0)
| eats(X0,sK5)
| snail(X1)
| ~ bird(X0) ),
inference(forward_subsumption_resolution,[],[f286,f77]) ).
fof(f288,plain,
! [X0,X1] :
( eats(X0,sK5)
| snail(X1)
| ~ bird(X0) ),
inference(forward_subsumption_resolution,[],[f287,f49]) ).
fof(f289,plain,
( spl7_13
| spl7_19 ),
inference(avatar_split_clause,[],[f288,f253,f192]) ).
fof(f290,plain,
! [X0,X1] :
( ~ animal(X0)
| eats(X0,sK6(sK3))
| eats(X0,X1)
| snail(X1)
| ~ bird(X0)
| snail(X1) ),
inference(resolution,[],[f214,f75]) ).
fof(f294,plain,
! [X0,X1] :
( ~ animal(X0)
| eats(X0,sK6(sK3))
| eats(X0,X1)
| snail(X1)
| ~ bird(X0) ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f296,plain,
! [X0,X1] :
( eats(X0,sK6(sK3))
| eats(X0,X1)
| snail(X1)
| ~ bird(X0) ),
inference(forward_subsumption_resolution,[],[f294,f49]) ).
fof(f297,plain,
! [X0,X1] :
( eats(X0,sK6(sK3))
| snail(X1)
| ~ bird(X0) ),
inference(forward_subsumption_resolution,[],[f296,f77]) ).
fof(f299,definition,
( spl7_22
<=> ! [X0] :
( eats(X0,sK6(sK3))
| ~ bird(X0) ) ),
introduced(definition,[new_symbols(definition,[spl7_22])],[avatar_definition]) ).
fof(f300,plain,
( ! [X0] :
( ~ bird(X0)
| eats(X0,sK6(sK3)) )
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f301,plain,
( spl7_13
| spl7_22 ),
inference(avatar_split_clause,[],[f297,f299,f192]) ).
fof(f323,plain,
( eats(sK2,sK5)
| ~ spl7_19 ),
inference(resolution,[],[f254,f50]) ).
fof(f325,plain,
( ! [X0] :
( ~ animal(sK2)
| eats(X0,sK2)
| ~ animal(X0)
| eats(X0,sK6(sK3))
| ~ much_smaller(sK2,X0) )
| ~ spl7_19 ),
inference(resolution,[],[f323,f168]) ).
fof(f328,plain,
( ! [X0] :
( ~ eats(X0,sK2)
| grain(sK5)
| ~ animal(sK2)
| ~ animal(X0) )
| ~ spl7_19 ),
inference(resolution,[],[f323,f80]) ).
fof(f330,plain,
( ! [X0] :
( eats(X0,sK2)
| ~ animal(X0)
| eats(X0,sK6(sK3))
| ~ much_smaller(sK2,X0) )
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f325,f83]) ).
fof(f332,plain,
( ! [X0] :
( ~ much_smaller(sK2,X0)
| eats(X0,sK6(sK3))
| ~ animal(X0) )
| ~ spl7_7
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f330,f140]) ).
fof(f340,plain,
( ! [X0] :
( eats(X0,sK6(sK3))
| ~ animal(X0)
| ~ bird(sK2)
| ~ fox(X0) )
| ~ spl7_7
| ~ spl7_19 ),
inference(resolution,[],[f332,f60]) ).
fof(f342,plain,
( ! [X0] :
( eats(X0,sK6(sK3))
| ~ animal(X0)
| ~ fox(X0) )
| ~ spl7_7
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f340,f50]) ).
fof(f343,plain,
( ! [X0] :
( ~ fox(X0)
| eats(X0,sK6(sK3)) )
| ~ spl7_7
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f342,f47]) ).
fof(f344,plain,
( eats(sK1,sK6(sK3))
| ~ spl7_7
| ~ spl7_19 ),
inference(resolution,[],[f343,f48]) ).
fof(f350,plain,
( eats(sK2,sK6(sK3))
| ~ spl7_22 ),
inference(resolution,[],[f300,f50]) ).
fof(f352,plain,
( ! [X0] :
( ~ animal(sK1)
| eats(X0,sK1)
| ~ animal(X0)
| eats(X0,sK5)
| ~ much_smaller(sK1,X0) )
| ~ spl7_7
| ~ spl7_19 ),
inference(resolution,[],[f344,f209]) ).
fof(f359,plain,
( ! [X0] :
( eats(X0,sK1)
| ~ animal(X0)
| eats(X0,sK5)
| ~ much_smaller(sK1,X0) )
| ~ spl7_7
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f352,f82]) ).
fof(f362,plain,
( ! [X0] :
( ~ much_smaller(sK1,X0)
| eats(X0,sK5)
| ~ animal(X0) )
| ~ spl7_7
| ~ spl7_17
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f359,f276]) ).
fof(f374,plain,
( ! [X0] :
( ~ animal(sK2)
| eats(X0,sK2)
| ~ animal(X0)
| eats(X0,sK5)
| ~ much_smaller(sK2,X0) )
| ~ spl7_22 ),
inference(resolution,[],[f350,f209]) ).
fof(f384,plain,
( ! [X0] :
( eats(X0,sK5)
| ~ animal(X0)
| ~ fox(sK1)
| ~ wolf(X0) )
| ~ spl7_7
| ~ spl7_17
| ~ spl7_19 ),
inference(resolution,[],[f362,f61]) ).
fof(f387,plain,
( ! [X0] :
( eats(X0,sK5)
| ~ animal(X0)
| ~ wolf(X0) )
| ~ spl7_7
| ~ spl7_17
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f384,f48]) ).
fof(f388,plain,
( ! [X0] :
( eats(X0,sK5)
| ~ wolf(X0) )
| ~ spl7_7
| ~ spl7_17
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f387,f45]) ).
fof(f389,plain,
( spl7_21
| ~ spl7_7
| ~ spl7_17
| ~ spl7_19 ),
inference(avatar_split_clause,[],[f388,f253,f236,f139,f262]) ).
fof(f391,plain,
( ! [X0] :
( ~ eats(X0,sK2)
| ~ animal(sK2)
| ~ animal(X0) )
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f328,f73]) ).
fof(f395,plain,
( ! [X0] :
( eats(X0,sK2)
| ~ animal(X0)
| eats(X0,sK5)
| ~ much_smaller(sK2,X0) )
| ~ spl7_22 ),
inference(forward_subsumption_resolution,[],[f374,f83]) ).
fof(f398,plain,
( ! [X0] :
( ~ eats(X0,sK2)
| ~ animal(X0) )
| ~ spl7_19 ),
inference(forward_subsumption_resolution,[],[f391,f83]) ).
fof(f400,plain,
( spl7_17
| ~ spl7_22 ),
inference(avatar_split_clause,[],[f395,f299,f236]) ).
fof(f402,plain,
( spl7_7
| ~ spl7_19 ),
inference(avatar_split_clause,[],[f398,f253,f139]) ).
fof(f431,plain,
( eats(sK0,sK5)
| ~ spl7_21 ),
inference(resolution,[],[f263,f46]) ).
fof(f438,plain,
( grain(sK5)
| ~ spl7_21 ),
inference(resolution,[],[f431,f105]) ).
fof(f447,plain,
( $false
| ~ spl7_21 ),
inference(forward_subsumption_resolution,[],[f438,f73]) ).
fof(f448,plain,
~ spl7_21,
inference(avatar_contradiction_clause,[],[f447]) ).
cnf(s10,plain,
~ spl7_13,
inference(sat_conversion,[],[f199]) ).
cnf(s18,plain,
( spl7_13
| spl7_19 ),
inference(sat_conversion,[],[f289]) ).
cnf(s19,plain,
( spl7_13
| spl7_22 ),
inference(sat_conversion,[],[f301]) ).
cnf(s22,plain,
( ~ spl7_7
| ~ spl7_17
| ~ spl7_19
| spl7_21 ),
inference(sat_conversion,[],[f389]) ).
cnf(s27,plain,
( spl7_17
| ~ spl7_22 ),
inference(sat_conversion,[],[f400]) ).
cnf(s29,plain,
( spl7_7
| ~ spl7_19 ),
inference(sat_conversion,[],[f402]) ).
cnf(s31,plain,
~ spl7_21,
inference(sat_conversion,[],[f448]) ).
cnf(s32,plain,
( ~ spl7_7
| ~ spl7_17
| ~ spl7_19 ),
inference(rat,[],[s22,s31]) ).
cnf(s34,plain,
spl7_22,
inference(rat,[],[s19,s10]) ).
cnf(s35,plain,
spl7_19,
inference(rat,[],[s18,s10]) ).
cnf(s37,plain,
spl7_17,
inference(rat,[],[s27,s34]) ).
cnf(s39,plain,
spl7_7,
inference(rat,[],[s29,s35]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s32,s35,s37,s39]) ).
fof(f450,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n017.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
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:29:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 Running first-order model finding
% 0.14/0.42 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
% 0.14/0.46 % (3000722)Will run a generic schedule for satisfiability detection.
% 0.14/0.46 % (3000728)% WARNING: option uhcvi not known.
% 0.14/0.46 % (3000728)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4159412802:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.46 % (3000728) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3000722-3000728"...
% 0.14/0.46 % (3000728)...printing done.
% 0.14/0.46 % (3000728)Refutation found. Thanks to Tanya!
% 0.14/0.46 % SZS status Theorem for theBenchmark
% 0.14/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47 % (3000728)------------------------------
% 0.14/0.47 % (3000728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.47 % (3000728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.47 % (3000728)CaDiCaL version: 2.1.3
% 0.14/0.47 % (3000728)Termination reason: Refutation
% 0.14/0.47 % (3000728)Time elapsed: 0.011 s
% 0.14/0.47 % (3000728)Peak memory usage: 12 MB
% 0.14/0.47 % (3000728)Instructions burned: 17 (million)
% 0.14/0.47 % (3000722)Success in time 0.034 s
% 0.14/0.47 % Vampire exiting
%------------------------------------------------------------------------------