%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 0.40s 0.92s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 144 ( 30 unt; 7 def)
% Number of atoms : 427 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 546 ( 263 ~; 237 |; 25 &)
% ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 173 ( 0 sgn 159 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_1) ).
fof(f2,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_2) ).
fof(f3,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_1) ).
fof(f4,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_2) ).
fof(f5,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f6,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_2) ).
fof(f9,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_5_1) ).
fof(f10,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_5_2) ).
fof(f11,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_6_1) ).
fof(f12,axiom,
! [X0] :
( grain(X0)
=> plant(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',pel47_7) ).
fof(f14,axiom,
! [X0,X1] :
( ( bird(X1)
& ( snail(X0)
| caterpillar(X0) ) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
fof(f15,axiom,
! [X0,X1] :
( ( bird(X0)
& fox(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
fof(f16,axiom,
! [X0,X1] :
( ( fox(X0)
& wolf(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
fof(f17,axiom,
! [X0,X1] :
( ( wolf(X0)
& ( fox(X1)
| grain(X1) ) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
fof(f19,axiom,
! [X0,X1] :
( ( bird(X0)
& snail(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
fof(f20,axiom,
! [X0] :
( ( caterpillar(X0)
| snail(X0) )
=> ? [X1] :
( plant(X1)
& eats(X0,X1) ) ),
file('/export/starexec/sandbox/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/sandbox/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,
wolf(sK0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f2]) ).
fof(f46,plain,
fox(sK1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f4]) ).
fof(f47,plain,
bird(sK2),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f6]) ).
fof(f49,plain,
snail(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f10]) ).
fof(f50,plain,
grain(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f11]) ).
fof(f51,plain,
! [X0] :
( ( plant(sK6(X0))
& eats(X0,sK6(X0)) )
| ( ~ caterpillar(X0)
& ~ snail(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f43]) ).
fof(f52,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f53,plain,
wolf(sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f54,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f55,plain,
fox(sK1),
inference(cnf_transformation,[],[f46]) ).
fof(f56,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f57,plain,
bird(sK2),
inference(cnf_transformation,[],[f47]) ).
fof(f60,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f61,plain,
snail(sK4),
inference(cnf_transformation,[],[f49]) ).
fof(f62,plain,
grain(sK5),
inference(cnf_transformation,[],[f50]) ).
fof(f63,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f64,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,[],[f30]) ).
fof(f66,plain,
! [X0,X1] :
( ~ snail(X0)
| ~ bird(X1)
| much_smaller(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f67,plain,
! [X0,X1] :
( ~ bird(X0)
| much_smaller(X0,X1)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f68,plain,
! [X0,X1] :
( ~ fox(X0)
| much_smaller(X0,X1)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f69,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f72,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
! [X0] :
( eats(X0,sK6(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f75,plain,
! [X0] :
( plant(sK6(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,X2)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f78,plain,
! [X0,X1] :
( ~ eats(X0,sK5)
| ~ animal(X1)
| ~ animal(X0)
| ~ eats(X1,X0) ),
inference(resolution,[],[f62,f77]) ).
fof(f91,plain,
animal(sK1),
inference(resolution,[],[f55,f54]) ).
fof(f92,plain,
animal(sK2),
inference(resolution,[],[f57,f56]) ).
fof(f94,plain,
animal(sK4),
inference(resolution,[],[f61,f60]) ).
fof(f95,plain,
! [X0] :
( ~ eats(X0,sK5)
| ~ wolf(X0) ),
inference(resolution,[],[f69,f62]) ).
fof(f96,plain,
! [X0] :
( ~ eats(X0,sK1)
| ~ wolf(X0) ),
inference(resolution,[],[f70,f55]) ).
fof(f98,plain,
! [X0] :
( ~ eats(X0,sK4)
| ~ bird(X0) ),
inference(resolution,[],[f72,f61]) ).
fof(f101,plain,
! [X0] :
( much_smaller(sK4,X0)
| ~ bird(X0) ),
inference(resolution,[],[f66,f61]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ bird(X0)
| ~ plant(X1)
| eats(X0,sK4)
| ~ animal(sK4)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK4,X2)
| ~ animal(X0) ),
inference(resolution,[],[f101,f64]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ bird(X0)
| ~ plant(X1)
| eats(X0,sK4)
| ~ animal(sK4)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK4,X2) ),
inference(forward_subsumption_resolution,[],[f102,f56]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ bird(X0)
| ~ plant(X1)
| eats(X0,sK4)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK4,X2) ),
inference(forward_subsumption_resolution,[],[f103,f94]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ bird(X0)
| ~ plant(X1)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK4,X2) ),
inference(forward_subsumption_resolution,[],[f104,f98]) ).
fof(f107,definition,
( spl7_3
<=> ! [X2] :
( ~ plant(X2)
| ~ eats(sK4,X2) ) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f108,plain,
( ! [X2] :
( ~ eats(sK4,X2)
| ~ plant(X2) )
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,definition,
( spl7_4
<=> ! [X0,X1] :
( ~ bird(X0)
| eats(X0,X1)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f111,plain,
( ! [X0,X1] :
( ~ bird(X0)
| eats(X0,X1)
| ~ plant(X1) )
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( spl7_3
| spl7_4 ),
inference(avatar_split_clause,[],[f105,f110,f107]) ).
fof(f113,plain,
! [X0] :
( much_smaller(sK2,X0)
| ~ fox(X0) ),
inference(resolution,[],[f67,f57]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ fox(X0)
| ~ plant(X1)
| eats(X0,sK2)
| ~ animal(sK2)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK2,X2)
| ~ animal(X0) ),
inference(resolution,[],[f113,f64]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ fox(X0)
| ~ plant(X1)
| eats(X0,sK2)
| ~ animal(sK2)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK2,X2) ),
inference(forward_subsumption_resolution,[],[f114,f54]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ fox(X0)
| ~ plant(X1)
| eats(X0,sK2)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK2,X2) ),
inference(forward_subsumption_resolution,[],[f115,f92]) ).
fof(f118,definition,
( spl7_5
<=> ! [X2] :
( ~ plant(X2)
| ~ eats(sK2,X2) ) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f119,plain,
( ! [X2] :
( ~ eats(sK2,X2)
| ~ plant(X2) )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl7_6
<=> ! [X0,X1] :
( ~ fox(X0)
| eats(X0,X1)
| eats(X0,sK2)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
fof(f122,plain,
( ! [X0,X1] :
( eats(X0,sK2)
| eats(X0,X1)
| ~ fox(X0)
| ~ plant(X1) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( spl7_5
| spl7_6 ),
inference(avatar_split_clause,[],[f116,f121,f118]) ).
fof(f124,plain,
! [X0] :
( much_smaller(sK1,X0)
| ~ wolf(X0) ),
inference(resolution,[],[f68,f55]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ wolf(X0)
| ~ plant(X1)
| eats(X0,sK1)
| ~ animal(sK1)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK1,X2)
| ~ animal(X0) ),
inference(resolution,[],[f124,f64]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ wolf(X0)
| ~ plant(X1)
| eats(X0,sK1)
| ~ animal(sK1)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK1,X2) ),
inference(forward_subsumption_resolution,[],[f125,f52]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ wolf(X0)
| ~ plant(X1)
| eats(X0,sK1)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK1,X2) ),
inference(forward_subsumption_resolution,[],[f126,f91]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ wolf(X0)
| ~ plant(X1)
| eats(X0,X1)
| ~ plant(X2)
| ~ eats(sK1,X2) ),
inference(forward_subsumption_resolution,[],[f127,f96]) ).
fof(f130,definition,
( spl7_7
<=> ! [X2] :
( ~ plant(X2)
| ~ eats(sK1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
fof(f131,plain,
( ! [X2] :
( ~ eats(sK1,X2)
| ~ plant(X2) )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,definition,
( spl7_8
<=> ! [X0,X1] :
( ~ wolf(X0)
| eats(X0,X1)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
fof(f134,plain,
( ! [X0,X1] :
( ~ wolf(X0)
| eats(X0,X1)
| ~ plant(X1) )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( spl7_7
| spl7_8 ),
inference(avatar_split_clause,[],[f128,f133,f130]) ).
fof(f137,plain,
( ~ plant(sK6(sK4))
| ~ snail(sK4)
| ~ spl7_3 ),
inference(resolution,[],[f108,f73]) ).
fof(f148,plain,
( ~ snail(sK4)
| ~ spl7_3 ),
inference(forward_subsumption_resolution,[],[f137,f75]) ).
fof(f150,plain,
( $false
| ~ spl7_3 ),
inference(forward_subsumption_resolution,[],[f148,f61]) ).
fof(f151,plain,
~ spl7_3,
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f170,plain,
( ! [X0] :
( ~ plant(X0)
| eats(sK2,X0) )
| ~ spl7_4 ),
inference(resolution,[],[f111,f57]) ).
fof(f171,plain,
( ! [X0] : ~ plant(X0)
| ~ spl7_4
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f170,f119]) ).
fof(f172,plain,
( ! [X0] : ~ grain(X0)
| ~ spl7_4
| ~ spl7_5 ),
inference(resolution,[],[f171,f63]) ).
fof(f175,plain,
( $false
| ~ spl7_4
| ~ spl7_5 ),
inference(resolution,[],[f172,f62]) ).
fof(f176,plain,
( ~ spl7_4
| ~ spl7_5 ),
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f185,definition,
( spl7_13
<=> ! [X0] : ~ plant(X0) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
fof(f186,plain,
( ! [X0] : ~ plant(X0)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f189,plain,
( ! [X0] :
( ~ grain(X0)
| eats(sK2,X0) )
| ~ spl7_4 ),
inference(resolution,[],[f170,f63]) ).
fof(f192,plain,
( eats(sK2,sK5)
| ~ spl7_4 ),
inference(resolution,[],[f189,f62]) ).
fof(f194,plain,
( ! [X0] :
( ~ animal(X0)
| ~ animal(sK2)
| ~ eats(X0,sK2) )
| ~ spl7_4 ),
inference(resolution,[],[f192,f78]) ).
fof(f195,plain,
( ! [X0] :
( ~ eats(X0,sK2)
| ~ animal(X0) )
| ~ spl7_4 ),
inference(forward_subsumption_resolution,[],[f194,f92]) ).
fof(f196,plain,
( ! [X0,X1] :
( ~ animal(X0)
| eats(X0,X1)
| ~ fox(X0)
| ~ plant(X1) )
| ~ spl7_4
| ~ spl7_6 ),
inference(resolution,[],[f195,f122]) ).
fof(f197,plain,
( ! [X0,X1] :
( ~ fox(X0)
| eats(X0,X1)
| ~ plant(X1) )
| ~ spl7_4
| ~ spl7_6 ),
inference(forward_subsumption_resolution,[],[f196,f54]) ).
fof(f198,plain,
( ! [X0] :
( ~ plant(X0)
| eats(sK1,X0) )
| ~ spl7_4
| ~ spl7_6 ),
inference(resolution,[],[f197,f55]) ).
fof(f199,plain,
( ! [X0] : ~ plant(X0)
| ~ spl7_4
| ~ spl7_6
| ~ spl7_7 ),
inference(forward_subsumption_resolution,[],[f198,f131]) ).
fof(f200,plain,
( spl7_13
| ~ spl7_4
| ~ spl7_6
| ~ spl7_7 ),
inference(avatar_split_clause,[],[f199,f130,f121,f110,f185]) ).
fof(f201,plain,
( ! [X0] : ~ grain(X0)
| ~ spl7_13 ),
inference(resolution,[],[f186,f63]) ).
fof(f204,plain,
( $false
| ~ spl7_13 ),
inference(resolution,[],[f201,f62]) ).
fof(f205,plain,
~ spl7_13,
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f206,plain,
( ! [X0] :
( ~ plant(X0)
| eats(sK0,X0) )
| ~ spl7_8 ),
inference(resolution,[],[f134,f53]) ).
fof(f210,plain,
( ! [X0] :
( ~ grain(X0)
| eats(sK0,X0) )
| ~ spl7_8 ),
inference(resolution,[],[f206,f63]) ).
fof(f214,plain,
( eats(sK0,sK5)
| ~ spl7_8 ),
inference(resolution,[],[f210,f62]) ).
fof(f218,plain,
( ~ wolf(sK0)
| ~ spl7_8 ),
inference(resolution,[],[f214,f95]) ).
fof(f228,plain,
( $false
| ~ spl7_8 ),
inference(forward_subsumption_resolution,[],[f218,f53]) ).
fof(f229,plain,
~ spl7_8,
inference(avatar_contradiction_clause,[],[f228]) ).
cnf(s2,plain,
( spl7_3
| spl7_4 ),
inference(sat_conversion,[],[f112]) ).
cnf(s3,plain,
( spl7_5
| spl7_6 ),
inference(sat_conversion,[],[f123]) ).
cnf(s4,plain,
( spl7_7
| spl7_8 ),
inference(sat_conversion,[],[f135]) ).
cnf(s6,plain,
~ spl7_3,
inference(sat_conversion,[],[f151]) ).
cnf(s9,plain,
( ~ spl7_4
| ~ spl7_5 ),
inference(sat_conversion,[],[f176]) ).
cnf(s11,plain,
( ~ spl7_4
| ~ spl7_6
| ~ spl7_7
| spl7_13 ),
inference(sat_conversion,[],[f200]) ).
cnf(s12,plain,
~ spl7_13,
inference(sat_conversion,[],[f205]) ).
cnf(s14,plain,
~ spl7_8,
inference(sat_conversion,[],[f229]) ).
cnf(s15,plain,
( ~ spl7_4
| ~ spl7_6
| ~ spl7_7 ),
inference(rat,[],[s11,s12]) ).
cnf(s17,plain,
spl7_7,
inference(rat,[],[s4,s14]) ).
cnf(s18,plain,
spl7_4,
inference(rat,[],[s2,s6]) ).
cnf(s19,plain,
~ spl7_6,
inference(rat,[],[s15,s17,s18]) ).
cnf(s20,plain,
~ spl7_5,
inference(rat,[],[s9,s18]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s3,s19,s20]) ).
fof(f230,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.38 % Computer : n009.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8046.5625MB
% 0.14/0.38 % OS : Linux 6.8.0-71-generic
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Sep 27 22:34:15 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.14/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.40/0.92 % (2477704)Detected formulas, will run a generic FOF schedule.
% 0.40/0.92 % (2477714)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=919203617:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.40/0.92 % (2477714)First to succeed.
% 0.40/0.92 % (2477714)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2477704"
% 0.40/0.92 % (2477713)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2579284014:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.40/0.92 % (2477709)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=1921465123:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.40/0.92 % (2477711)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=314793336:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.40/0.92 % (2477712)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3553240437:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.40/0.92 % (2477710)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=2591413757:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.40/0.92 % (2477715)dis-21_1_sil=8000:lcm=predicate:random_seed=1227530050: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)
% 0.40/0.92 % (2477712)Refutation not found, incomplete strategy
% 0.40/0.92 % (2477712)------------------------------
% 0.40/0.92 % (2477712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.40/0.92 % (2477712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.92 % (2477712)CaDiCaL version: 2.1.3
% 0.40/0.92 % (2477712)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.92 % (2477712)Time elapsed: 0.0000 s
% 0.40/0.92 % (2477712)Peak memory usage: 86 MB
% 0.40/0.92 % (2477713)Refutation not found, incomplete strategy
% 0.40/0.92 % (2477713)------------------------------
% 0.40/0.92 % (2477713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.40/0.92 % (2477713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.92 % (2477713)CaDiCaL version: 2.1.3
% 0.40/0.92 % (2477713)Termination reason: Refutation not found, incomplete strategy
% 0.40/0.92 % (2477713)Time elapsed: 0.001 s
% 0.40/0.92 % (2477713)Peak memory usage: 88 MB
% 0.40/0.92 % (2477713)Instructions burned: 1 (million)
% 0.40/0.92 % (2477715)Also succeeded, but the first one will report.
% 0.40/0.92 % (2477714)Refutation found. Thanks to Tanya!
% 0.40/0.92 % SZS status Theorem for theBenchmark
% 0.40/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.49/1.12 % (2477714)------------------------------
% 2.49/1.12 % (2477714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.12 % (2477714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.12 % (2477714)CaDiCaL version: 2.1.3
% 2.49/1.12 % (2477714)Termination reason: Refutation
% 2.49/1.12 % (2477714)Time elapsed: 0.003 s
% 2.49/1.12 % (2477714)Peak memory usage: 89 MB
% 2.49/1.12 % (2477714)Instructions burned: 7 (million)
% 2.49/1.12 % (2477714)------------------------------
% 2.49/1.12 % (2477714)------------------------------
% 2.49/1.12 % (2477704)Success in time 0.297 s
% 2.49/1.12 % Vampire exiting
%------------------------------------------------------------------------------