%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of formulae : 139 ( 27 unt; 8 def)
% Number of atoms : 423 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 545 ( 261 ~; 242 |; 19 &)
% ( 8 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 188 ( 0 sgn 174 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).
fof(f2,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).
fof(f3,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).
fof(f5,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).
fof(f6,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_1) ).
fof(f7,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_1) ).
fof(f8,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f10,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_4_2) ).
fof(f11,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).
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(X0)
& snail(X1) )
=> much_smaller(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
fof(f16,axiom,
! [X0,X1] :
( ( bird(X0)
& fox(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
fof(f17,axiom,
! [X0,X1] :
( ( fox(X0)
& wolf(X1) )
=> much_smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
fof(f18,axiom,
! [X0,X1] :
( ( wolf(X0)
& fox(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
fof(f19,axiom,
! [X0,X1] :
( ( wolf(X0)
& grain(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).
fof(f21,axiom,
! [X0,X1] :
( ( bird(X0)
& snail(X1) )
=> ~ eats(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
fof(f23,axiom,
! [X0] :
( snail(X0)
=> ? [X1] :
( plant(X1)
& eats(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).
fof(f24,conjecture,
? [X0,X1] :
( animal(X0)
& animal(X1)
& ? [X2] :
( grain(X2)
& eats(X1,X2)
& eats(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
fof(f25,negated_conjecture,
~ ? [X0,X1] :
( animal(X0)
& animal(X1)
& ? [X2] :
( grain(X2)
& eats(X1,X2)
& eats(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f26,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f27,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f28,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f30,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ~ plant(X1) )
| ! [X2] :
( eats(X0,X2)
| ~ animal(X2)
| ~ much_smaller(X2,X0)
| ! [X3] :
( ~ plant(X3)
| ~ eats(X2,X3) ) )
| ~ animal(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ~ plant(X1) )
| ! [X2] :
( eats(X0,X2)
| ~ animal(X2)
| ~ much_smaller(X2,X0)
| ! [X3] :
( ~ plant(X3)
| ~ eats(X2,X3) ) )
| ~ animal(X0) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ~ snail(X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f35,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ~ snail(X1) ),
inference(flattening,[],[f34]) ).
fof(f38,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f41,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f43,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ grain(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f45,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ grain(X1) ),
inference(flattening,[],[f44]) ).
fof(f48,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f49,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(flattening,[],[f48]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
( plant(X1)
& eats(X0,X1) )
| ~ snail(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f52,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ! [X2] :
( ~ grain(X2)
| ~ eats(X1,X2)
| ~ eats(X0,X1) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f53,plain,
wolf(sK0),
inference(cnf_transformation,[],[f1]) ).
fof(f54,plain,
fox(sK1),
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
bird(sK2),
inference(cnf_transformation,[],[f3]) ).
fof(f57,plain,
snail(sK4),
inference(cnf_transformation,[],[f5]) ).
fof(f58,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f60,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f62,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f63,plain,
grain(sK5),
inference(cnf_transformation,[],[f11]) ).
fof(f64,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ much_smaller(X2,X0)
| ~ eats(X2,X3)
| ~ plant(X3)
| ~ animal(X0)
| ~ animal(X2)
| eats(X0,X2)
| ~ plant(X1)
| eats(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f66,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ~ snail(X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f68,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f69,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f70,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f71,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f73,plain,
! [X0,X1] :
( ~ snail(X1)
| ~ bird(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f76,plain,
! [X0] :
( ~ snail(X0)
| eats(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f77,plain,
! [X0] :
( plant(sK7(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ grain(X2)
| ~ eats(X1,X2)
| ~ eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f79,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ eats(X0,sK5)
| ~ eats(X1,X0) ),
inference(resolution,[],[f63,f78]) ).
fof(f81,plain,
animal(sK1),
inference(resolution,[],[f59,f54]) ).
fof(f92,plain,
animal(sK2),
inference(resolution,[],[f60,f55]) ).
fof(f97,plain,
! [X0] :
( ~ animal(X0)
| ~ eats(X0,sK5)
| ~ eats(sK1,X0) ),
inference(resolution,[],[f81,f79]) ).
fof(f112,plain,
plant(sK5),
inference(resolution,[],[f64,f63]) ).
fof(f115,plain,
( ~ eats(sK2,sK5)
| ~ eats(sK1,sK2) ),
inference(resolution,[],[f92,f97]) ).
fof(f120,definition,
( spl8_6
<=> eats(sK2,sK5) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f122,plain,
( ~ eats(sK2,sK5)
| spl8_6 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f133,definition,
( spl8_9
<=> eats(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f135,plain,
( ~ eats(sK1,sK2)
| spl8_9 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( ~ spl8_9
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f115,f120,f133]) ).
fof(f138,plain,
eats(sK4,sK7(sK4)),
inference(resolution,[],[f76,f57]) ).
fof(f209,plain,
! [X0] :
( ~ wolf(X0)
| ~ eats(X0,sK5) ),
inference(resolution,[],[f71,f63]) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X2)
| ~ animal(X0)
| eats(X2,X0)
| ~ plant(X3)
| eats(X2,X3)
| ~ fox(X0)
| ~ wolf(X2) ),
inference(resolution,[],[f65,f69]) ).
fof(f218,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X2)
| ~ animal(X0)
| eats(X2,X0)
| ~ plant(X3)
| eats(X2,X3)
| ~ bird(X0)
| ~ fox(X2) ),
inference(resolution,[],[f65,f68]) ).
fof(f220,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X2)
| ~ animal(X0)
| eats(X2,X0)
| ~ plant(X3)
| eats(X2,X3)
| ~ bird(X2)
| ~ snail(X0) ),
inference(resolution,[],[f65,f66]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X2)
| ~ animal(X0)
| ~ plant(X3)
| eats(X2,X3)
| ~ bird(X2)
| ~ snail(X0) ),
inference(forward_subsumption_resolution,[],[f220,f73]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X2)
| eats(X2,X0)
| ~ plant(X3)
| eats(X2,X3)
| ~ bird(X0)
| ~ fox(X2) ),
inference(forward_subsumption_resolution,[],[f218,f60]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X2)
| ~ animal(X0)
| ~ plant(X3)
| eats(X2,X3)
| ~ fox(X0)
| ~ wolf(X2) ),
inference(forward_subsumption_resolution,[],[f217,f70]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X0)
| ~ plant(X3)
| eats(X2,X3)
| ~ bird(X2)
| ~ snail(X0) ),
inference(forward_subsumption_resolution,[],[f221,f60]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( ~ plant(X1)
| ~ plant(X3)
| eats(X2,X0)
| ~ eats(X0,X1)
| eats(X2,X3)
| ~ bird(X0)
| ~ fox(X2) ),
inference(forward_subsumption_resolution,[],[f222,f59]) ).
fof(f226,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ animal(X2)
| ~ plant(X3)
| eats(X2,X3)
| ~ fox(X0)
| ~ wolf(X2) ),
inference(forward_subsumption_resolution,[],[f223,f59]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ plant(X3)
| eats(X2,X3)
| ~ bird(X2)
| ~ snail(X0) ),
inference(forward_subsumption_resolution,[],[f224,f62]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ plant(X3)
| eats(X2,X3)
| ~ fox(X0)
| ~ wolf(X2) ),
inference(forward_subsumption_resolution,[],[f226,f58]) ).
fof(f230,definition,
( spl8_21
<=> ! [X2,X3] :
( ~ plant(X3)
| ~ bird(X2)
| eats(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl8_21])],[avatar_definition]) ).
fof(f231,plain,
( ! [X2,X3] :
( ~ plant(X3)
| ~ bird(X2)
| eats(X2,X3) )
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,definition,
( spl8_22
<=> ! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X0)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[spl8_22])],[avatar_definition]) ).
fof(f234,plain,
( ! [X0,X1] :
( ~ plant(X1)
| ~ snail(X0)
| ~ eats(X0,X1) )
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f235,plain,
( spl8_21
| spl8_22 ),
inference(avatar_split_clause,[],[f227,f233,f230]) ).
fof(f237,definition,
( spl8_23
<=> ! [X2,X3] :
( ~ plant(X3)
| ~ wolf(X2)
| eats(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl8_23])],[avatar_definition]) ).
fof(f238,plain,
( ! [X2,X3] :
( ~ plant(X3)
| ~ wolf(X2)
| eats(X2,X3) )
| ~ spl8_23 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f240,definition,
( spl8_24
<=> ! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X0)
| ~ plant(X1) ) ),
introduced(definition,[new_symbols(definition,[spl8_24])],[avatar_definition]) ).
fof(f241,plain,
( ! [X0,X1] :
( ~ plant(X1)
| ~ fox(X0)
| ~ eats(X0,X1) )
| ~ spl8_24 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f242,plain,
( spl8_23
| spl8_24 ),
inference(avatar_split_clause,[],[f228,f240,f237]) ).
fof(f252,plain,
( ! [X0] :
( ~ bird(X0)
| eats(X0,sK5) )
| ~ spl8_21 ),
inference(resolution,[],[f231,f112]) ).
fof(f255,plain,
( ! [X0] :
( ~ wolf(X0)
| eats(X0,sK5) )
| ~ spl8_23 ),
inference(resolution,[],[f238,f112]) ).
fof(f256,plain,
( ! [X0] : ~ wolf(X0)
| ~ spl8_23 ),
inference(forward_subsumption_resolution,[],[f255,f209]) ).
fof(f257,plain,
( $false
| ~ spl8_23 ),
inference(resolution,[],[f256,f53]) ).
fof(f258,plain,
~ spl8_23,
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f262,plain,
( eats(sK2,sK5)
| ~ spl8_21 ),
inference(resolution,[],[f252,f55]) ).
fof(f263,plain,
( $false
| spl8_6
| ~ spl8_21 ),
inference(forward_subsumption_resolution,[],[f262,f122]) ).
fof(f264,plain,
( spl8_6
| ~ spl8_21 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ plant(X0)
| eats(X1,X2)
| ~ eats(X2,sK5)
| eats(X1,X0)
| ~ bird(X2)
| ~ fox(X1) ),
inference(resolution,[],[f225,f112]) ).
fof(f277,plain,
( ! [X2,X0,X1] :
( ~ plant(X0)
| eats(X1,X2)
| ~ eats(X2,sK5)
| ~ bird(X2)
| ~ fox(X1) )
| ~ spl8_24 ),
inference(forward_subsumption_resolution,[],[f270,f241]) ).
fof(f283,plain,
( ! [X2,X0,X1] :
( ~ plant(X0)
| eats(X1,X2)
| ~ bird(X2)
| ~ fox(X1) )
| ~ spl8_21
| ~ spl8_24 ),
inference(forward_subsumption_resolution,[],[f277,f252]) ).
fof(f287,definition,
( spl8_25
<=> ! [X2,X1] :
( eats(X1,X2)
| ~ fox(X1)
| ~ bird(X2) ) ),
introduced(definition,[new_symbols(definition,[spl8_25])],[avatar_definition]) ).
fof(f288,plain,
( ! [X2,X1] :
( ~ fox(X1)
| eats(X1,X2)
| ~ bird(X2) )
| ~ spl8_25 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f290,definition,
( spl8_26
<=> ! [X0] : ~ plant(X0) ),
introduced(definition,[new_symbols(definition,[spl8_26])],[avatar_definition]) ).
fof(f291,plain,
( ! [X0] : ~ plant(X0)
| ~ spl8_26 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f301,plain,
( spl8_25
| spl8_26
| ~ spl8_21
| ~ spl8_24 ),
inference(avatar_split_clause,[],[f283,f240,f230,f290,f287]) ).
fof(f320,plain,
( ! [X0,X1] :
( ~ snail(X0)
| ~ snail(X1)
| ~ eats(X0,sK7(X1)) )
| ~ spl8_22 ),
inference(resolution,[],[f234,f77]) ).
fof(f329,plain,
( $false
| ~ spl8_26 ),
inference(resolution,[],[f291,f112]) ).
fof(f330,plain,
~ spl8_26,
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f340,plain,
( ! [X0] :
( ~ snail(X0)
| ~ eats(sK4,sK7(X0)) )
| ~ spl8_22 ),
inference(resolution,[],[f320,f57]) ).
fof(f348,plain,
( ~ eats(sK4,sK7(sK4))
| ~ spl8_22 ),
inference(resolution,[],[f340,f57]) ).
fof(f349,plain,
( $false
| ~ spl8_22 ),
inference(forward_subsumption_resolution,[],[f348,f138]) ).
fof(f350,plain,
~ spl8_22,
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f355,plain,
( ! [X0] :
( ~ bird(X0)
| eats(sK1,X0) )
| ~ spl8_25 ),
inference(resolution,[],[f288,f54]) ).
fof(f356,plain,
( eats(sK1,sK2)
| ~ spl8_25 ),
inference(resolution,[],[f355,f55]) ).
fof(f357,plain,
( $false
| spl8_9
| ~ spl8_25 ),
inference(forward_subsumption_resolution,[],[f356,f135]) ).
fof(f358,plain,
( spl8_9
| ~ spl8_25 ),
inference(avatar_contradiction_clause,[],[f357]) ).
cnf(s6,plain,
( ~ spl8_6
| ~ spl8_9 ),
inference(sat_conversion,[],[f136]) ).
cnf(s16,plain,
( spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f235]) ).
cnf(s17,plain,
( spl8_23
| spl8_24 ),
inference(sat_conversion,[],[f242]) ).
cnf(s21,plain,
~ spl8_23,
inference(sat_conversion,[],[f258]) ).
cnf(s22,plain,
( spl8_6
| ~ spl8_21 ),
inference(sat_conversion,[],[f264]) ).
cnf(s26,plain,
( ~ spl8_21
| ~ spl8_24
| spl8_25
| spl8_26 ),
inference(sat_conversion,[],[f301]) ).
cnf(s32,plain,
~ spl8_26,
inference(sat_conversion,[],[f330]) ).
cnf(s35,plain,
~ spl8_22,
inference(sat_conversion,[],[f350]) ).
cnf(s36,plain,
( spl8_9
| ~ spl8_25 ),
inference(sat_conversion,[],[f358]) ).
cnf(s42,plain,
( ~ spl8_21
| ~ spl8_24
| spl8_25 ),
inference(rat,[],[s26,s32]) ).
cnf(s46,plain,
spl8_24,
inference(rat,[],[s17,s21]) ).
cnf(s50,plain,
spl8_21,
inference(rat,[],[s16,s35]) ).
cnf(s51,plain,
spl8_25,
inference(rat,[],[s42,s46,s50]) ).
cnf(s52,plain,
spl8_6,
inference(rat,[],[s22,s50]) ).
cnf(s53,plain,
spl8_9,
inference(rat,[],[s36,s51]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s6,s53,s52]) ).
fof(f359,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n004.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:33:52 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % (3944401)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (3944410)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1071195596:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (3944407)% WARNING: option uhcvi not known.
% 0.10/0.45 % (3944410) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3944401-3944410"...
% 0.10/0.45 % (3944410)...printing done.
% 0.10/0.45 % (3944410)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (3944410)------------------------------
% 0.10/0.45 % (3944410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (3944410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (3944410)CaDiCaL version: 2.1.3
% 0.10/0.45 % (3944410)Termination reason: Refutation
% 0.10/0.45 % (3944410)Time elapsed: 0.004 s
% 0.10/0.45 % (3944410)Peak memory usage: 12 MB
% 0.10/0.45 % (3944410)Instructions burned: 9 (million)
% 0.10/0.45 % (3944401)Success in time 0.032 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------