TSTP Solution File: PUZ031+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:11:37 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 155 ( 27 unt; 0 def)
% Number of atoms : 522 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 681 ( 314 ~; 285 |; 41 &)
% ( 11 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 12 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 252 ( 223 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f400,plain,
$false,
inference(avatar_sat_refutation,[],[f141,f178,f188,f229,f264,f293,f323,f336,f340,f368,f389,f399]) ).
fof(f399,plain,
( spl7_17
| spl7_4
| ~ spl7_10
| ~ spl7_28 ),
inference(avatar_split_clause,[],[f398,f366,f183,f134,f222]) ).
fof(f222,plain,
( spl7_17
<=> ! [X0] : ~ grain(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).
fof(f134,plain,
( spl7_4
<=> ! [X3] : ~ bird(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f183,plain,
( spl7_10
<=> ! [X11,X10] :
( ~ plant(X11)
| ~ bird(X10)
| eats(X10,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f366,plain,
( spl7_28
<=> ! [X6,X4] :
( ~ bird(X4)
| ~ eats(X4,X6)
| ~ grain(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).
fof(f398,plain,
( ! [X4,X5] :
( ~ bird(X4)
| ~ grain(X5) )
| ~ spl7_10
| ~ spl7_28 ),
inference(subsumption_resolution,[],[f396,f97]) ).
fof(f97,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( grain(X0)
=> plant(X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1] :
( grain(X1)
=> plant(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_2) ).
fof(f396,plain,
( ! [X4,X5] :
( ~ grain(X5)
| ~ bird(X4)
| ~ plant(X5) )
| ~ spl7_10
| ~ spl7_28 ),
inference(duplicate_literal_removal,[],[f394]) ).
fof(f394,plain,
( ! [X4,X5] :
( ~ bird(X4)
| ~ bird(X4)
| ~ grain(X5)
| ~ plant(X5) )
| ~ spl7_10
| ~ spl7_28 ),
inference(resolution,[],[f367,f184]) ).
fof(f184,plain,
( ! [X10,X11] :
( eats(X10,X11)
| ~ plant(X11)
| ~ bird(X10) )
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f367,plain,
( ! [X6,X4] :
( ~ eats(X4,X6)
| ~ bird(X4)
| ~ grain(X6) )
| ~ spl7_28 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f389,plain,
~ spl7_27,
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl7_27 ),
inference(resolution,[],[f364,f92]) ).
fof(f92,plain,
fox(sK4),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
fox(sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f25,f69]) ).
fof(f69,plain,
( ? [X0] : fox(X0)
=> fox(sK4) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] : fox(X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
? [X1] : fox(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_2) ).
fof(f364,plain,
( ! [X5] : ~ fox(X5)
| ~ spl7_27 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f363,plain,
( spl7_27
<=> ! [X5] : ~ fox(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_27])]) ).
fof(f368,plain,
( spl7_27
| spl7_28
| ~ spl7_24 ),
inference(avatar_split_clause,[],[f361,f321,f366,f363]) ).
fof(f321,plain,
( spl7_24
<=> ! [X6,X9] :
( ~ fox(X6)
| ~ bird(X9)
| eats(X6,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).
fof(f361,plain,
( ! [X6,X4,X5] :
( ~ bird(X4)
| ~ grain(X6)
| ~ fox(X5)
| ~ eats(X4,X6) )
| ~ spl7_24 ),
inference(subsumption_resolution,[],[f360,f84]) ).
fof(f84,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f360,plain,
( ! [X6,X4,X5] :
( ~ animal(X4)
| ~ bird(X4)
| ~ eats(X4,X6)
| ~ fox(X5)
| ~ grain(X6) )
| ~ spl7_24 ),
inference(subsumption_resolution,[],[f351,f101]) ).
fof(f101,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).
fof(f351,plain,
( ! [X6,X4,X5] :
( ~ bird(X4)
| ~ eats(X4,X6)
| ~ animal(X4)
| ~ grain(X6)
| ~ fox(X5)
| ~ animal(X5) )
| ~ spl7_24 ),
inference(resolution,[],[f322,f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ eats(X1,X0)
| ~ eats(X0,X2)
| ~ animal(X0)
| ~ grain(X2)
| ~ animal(X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ! [X2] :
( ~ eats(X0,X2)
| ~ grain(X2)
| ~ eats(X1,X0) )
| ~ animal(X1)
| ~ animal(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
~ ? [X1,X0] :
( animal(X1)
& ? [X2] :
( grain(X2)
& eats(X0,X2)
& eats(X1,X0) )
& animal(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ? [X2,X0] :
( ? [X4] :
( eats(X2,X4)
& grain(X4)
& eats(X0,X2) )
& animal(X2)
& animal(X0) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
? [X2,X0] :
( ? [X4] :
( eats(X2,X4)
& grain(X4)
& eats(X0,X2) )
& animal(X2)
& animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
fof(f322,plain,
( ! [X6,X9] :
( eats(X6,X9)
| ~ bird(X9)
| ~ fox(X6) )
| ~ spl7_24 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f340,plain,
~ spl7_19,
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| ~ spl7_19 ),
inference(resolution,[],[f249,f108]) ).
fof(f108,plain,
plant(sK5),
inference(resolution,[],[f97,f94]) ).
fof(f94,plain,
grain(sK5),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
grain(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f11,f72]) ).
fof(f72,plain,
( ? [X0] : grain(X0)
=> grain(sK5) ),
introduced(choice_axiom,[]) ).
fof(f11,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_1) ).
fof(f249,plain,
( ! [X0] : ~ plant(X0)
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl7_19
<=> ! [X0] : ~ plant(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).
fof(f336,plain,
~ spl7_14,
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| ~ spl7_14 ),
inference(resolution,[],[f210,f87]) ).
fof(f87,plain,
wolf(sK2),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
wolf(sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f30,f64]) ).
fof(f64,plain,
( ? [X0] : wolf(X0)
=> wolf(sK2) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0] : wolf(X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
? [X1] : wolf(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_2) ).
fof(f210,plain,
( ! [X10] : ~ wolf(X10)
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl7_14
<=> ! [X10] : ~ wolf(X10) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
fof(f323,plain,
( spl7_19
| spl7_24
| spl7_19
| ~ spl7_8
| ~ spl7_10 ),
inference(avatar_split_clause,[],[f319,f183,f173,f248,f321,f248]) ).
fof(f173,plain,
( spl7_8
<=> ! [X4,X5] :
( ~ fox(X4)
| ~ plant(X5)
| ~ eats(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f319,plain,
( ! [X8,X6,X9,X7] :
( ~ plant(X7)
| ~ fox(X6)
| eats(X6,X9)
| ~ plant(X8)
| ~ bird(X9) )
| ~ spl7_8
| ~ spl7_10 ),
inference(subsumption_resolution,[],[f318,f174]) ).
fof(f174,plain,
( ! [X4,X5] :
( ~ eats(X4,X5)
| ~ fox(X4)
| ~ plant(X5) )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f318,plain,
( ! [X8,X6,X9,X7] :
( ~ bird(X9)
| eats(X6,X9)
| ~ plant(X8)
| ~ fox(X6)
| ~ plant(X7)
| eats(X6,X7) )
| ~ spl7_10 ),
inference(duplicate_literal_removal,[],[f315]) ).
fof(f315,plain,
( ! [X8,X6,X9,X7] :
( ~ fox(X6)
| eats(X6,X7)
| ~ bird(X9)
| ~ bird(X9)
| ~ plant(X7)
| ~ plant(X8)
| eats(X6,X9)
| ~ plant(X8) )
| ~ spl7_10 ),
inference(resolution,[],[f168,f184]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X2)
| ~ plant(X3)
| eats(X2,X3)
| ~ plant(X1)
| ~ bird(X0)
| eats(X2,X0) ),
inference(subsumption_resolution,[],[f167,f84]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( ~ bird(X0)
| eats(X2,X0)
| ~ animal(X0)
| ~ fox(X2)
| eats(X2,X3)
| ~ plant(X1)
| ~ eats(X0,X1)
| ~ plant(X3) ),
inference(subsumption_resolution,[],[f163,f101]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( ~ animal(X2)
| eats(X2,X3)
| ~ eats(X0,X1)
| ~ bird(X0)
| ~ plant(X1)
| ~ plant(X3)
| eats(X2,X0)
| ~ fox(X2)
| ~ animal(X0) ),
inference(resolution,[],[f93,f103]) ).
fof(f103,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ fox(X0)
| much_smaller(X1,X0)
| ~ bird(X1) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X1)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( bird(X1)
& fox(X0) )
=> much_smaller(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X0] :
( ( bird(X0)
& fox(X2) )
=> much_smaller(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ~ much_smaller(X2,X0)
| ~ eats(X2,X3)
| ~ plant(X3)
| ~ animal(X0)
| eats(X0,X2)
| ~ plant(X1)
| ~ animal(X2)
| eats(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ~ plant(X1) )
| ~ animal(X0)
| ! [X2] :
( eats(X0,X2)
| ~ animal(X2)
| ! [X3] :
( ~ eats(X2,X3)
| ~ plant(X3) )
| ~ much_smaller(X2,X0) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X3] :
( eats(X0,X3)
| ~ plant(X3) )
| ~ animal(X0)
| ! [X1] :
( eats(X0,X1)
| ~ animal(X1)
| ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) )
| ~ much_smaller(X1,X0) ) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ! [X3] :
( eats(X0,X3)
| ~ plant(X3) )
| ! [X1] :
( eats(X0,X1)
| ~ much_smaller(X1,X0)
| ~ animal(X1)
| ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) ) )
| ~ animal(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( animal(X0)
=> ( ! [X3] :
( plant(X3)
=> eats(X0,X3) )
| ! [X1] :
( ( much_smaller(X1,X0)
& animal(X1)
& ? [X2] :
( eats(X1,X2)
& plant(X2) ) )
=> eats(X0,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( animal(X0)
=> ( ! [X3] :
( ( ? [X4] :
( eats(X3,X4)
& plant(X4) )
& much_smaller(X3,X0)
& animal(X3) )
=> eats(X0,X3) )
| ! [X2] :
( plant(X2)
=> eats(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
fof(f293,plain,
~ spl7_17,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| ~ spl7_17 ),
inference(resolution,[],[f223,f94]) ).
fof(f223,plain,
( ! [X0] : ~ grain(X0)
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f264,plain,
~ spl7_11,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl7_11 ),
inference(resolution,[],[f262,f79]) ).
fof(f79,plain,
snail(sK0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
snail(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f31,f60]) ).
fof(f60,plain,
( ? [X0] : snail(X0)
=> snail(sK0) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0] : snail(X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
? [X1] : snail(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_2) ).
fof(f262,plain,
( ! [X0] : ~ snail(X0)
| ~ spl7_11 ),
inference(subsumption_resolution,[],[f261,f81]) ).
fof(f81,plain,
! [X0] :
( plant(sK1(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( eats(X0,sK1(X0))
& plant(sK1(X0)) )
| ( ~ snail(X0)
& ~ caterpillar(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f39,f62]) ).
fof(f62,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
=> ( eats(X0,sK1(X0))
& plant(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
| ( ~ snail(X0)
& ~ caterpillar(X0) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( caterpillar(X0)
| snail(X0) )
=> ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( caterpillar(X0)
| snail(X0) )
=> ? [X2] :
( plant(X2)
& eats(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).
fof(f261,plain,
( ! [X0] :
( ~ snail(X0)
| ~ plant(sK1(X0)) )
| ~ spl7_11 ),
inference(duplicate_literal_removal,[],[f258]) ).
fof(f258,plain,
( ! [X0] :
( ~ snail(X0)
| ~ snail(X0)
| ~ plant(sK1(X0)) )
| ~ spl7_11 ),
inference(resolution,[],[f187,f83]) ).
fof(f83,plain,
! [X0] :
( eats(X0,sK1(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f187,plain,
( ! [X8,X9] :
( ~ eats(X8,X9)
| ~ plant(X9)
| ~ snail(X8) )
| ~ spl7_11 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl7_11
<=> ! [X9,X8] :
( ~ eats(X8,X9)
| ~ snail(X8)
| ~ plant(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f229,plain,
( spl7_17
| spl7_14
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f228,f176,f209,f222]) ).
fof(f176,plain,
( spl7_9
<=> ! [X6,X7] :
( ~ plant(X7)
| ~ wolf(X6)
| eats(X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f228,plain,
( ! [X8,X7] :
( ~ wolf(X8)
| ~ grain(X7) )
| ~ spl7_9 ),
inference(subsumption_resolution,[],[f206,f97]) ).
fof(f206,plain,
( ! [X8,X7] :
( ~ wolf(X8)
| ~ plant(X7)
| ~ grain(X7) )
| ~ spl7_9 ),
inference(duplicate_literal_removal,[],[f204]) ).
fof(f204,plain,
( ! [X8,X7] :
( ~ grain(X7)
| ~ wolf(X8)
| ~ plant(X7)
| ~ wolf(X8) )
| ~ spl7_9 ),
inference(resolution,[],[f177,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ grain(X0)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ eats(X1,X0)
| ( ~ grain(X0)
& ~ fox(X0) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ~ wolf(X0)
| ~ eats(X0,X1)
| ( ~ grain(X1)
& ~ fox(X1) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ( ~ grain(X1)
& ~ fox(X1) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ( wolf(X0)
& ( grain(X1)
| fox(X1) ) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X2] :
( ( ( fox(X2)
| grain(X2) )
& wolf(X0) )
=> ~ eats(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f177,plain,
( ! [X6,X7] :
( eats(X6,X7)
| ~ plant(X7)
| ~ wolf(X6) )
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f188,plain,
( spl7_10
| spl7_11 ),
inference(avatar_split_clause,[],[f181,f186,f183]) ).
fof(f181,plain,
! [X10,X11,X8,X9] :
( ~ eats(X8,X9)
| ~ plant(X9)
| ~ snail(X8)
| ~ plant(X11)
| ~ bird(X10)
| eats(X10,X11) ),
inference(subsumption_resolution,[],[f180,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ snail(X0)
| ~ bird(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ bird(X1)
| ~ snail(X0)
| ~ eats(X1,X0) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ~ bird(X0)
| ~ snail(X1)
| ~ eats(X0,X1) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ( snail(X1)
& bird(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X2] :
( ( bird(X0)
& snail(X2) )
=> ~ eats(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(f180,plain,
! [X10,X11,X8,X9] :
( ~ eats(X8,X9)
| ~ bird(X10)
| ~ snail(X8)
| ~ plant(X9)
| eats(X10,X11)
| eats(X10,X8)
| ~ plant(X11) ),
inference(subsumption_resolution,[],[f179,f84]) ).
fof(f179,plain,
! [X10,X11,X8,X9] :
( ~ eats(X8,X9)
| eats(X10,X8)
| ~ snail(X8)
| ~ bird(X10)
| ~ animal(X10)
| ~ plant(X11)
| ~ plant(X9)
| eats(X10,X11) ),
inference(subsumption_resolution,[],[f165,f89]) ).
fof(f89,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_1) ).
fof(f165,plain,
! [X10,X11,X8,X9] :
( eats(X10,X11)
| ~ bird(X10)
| ~ animal(X10)
| ~ plant(X9)
| ~ animal(X8)
| ~ plant(X11)
| ~ eats(X8,X9)
| ~ snail(X8)
| eats(X10,X8) ),
inference(resolution,[],[f93,f86]) ).
fof(f86,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X1)
| ~ snail(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ~ snail(X0)
& ~ caterpillar(X0) )
| ~ bird(X1)
| much_smaller(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( much_smaller(X0,X1)
| ~ bird(X1)
| ( ~ snail(X0)
& ~ caterpillar(X0) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( ( bird(X1)
& ( caterpillar(X0)
| snail(X0) ) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X2] :
( ( bird(X2)
& ( caterpillar(X0)
| snail(X0) ) )
=> much_smaller(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f178,plain,
( spl7_8
| spl7_9 ),
inference(avatar_split_clause,[],[f171,f176,f173]) ).
fof(f171,plain,
! [X6,X7,X4,X5] :
( ~ plant(X7)
| ~ wolf(X6)
| ~ fox(X4)
| ~ eats(X4,X5)
| ~ plant(X5)
| eats(X6,X7) ),
inference(subsumption_resolution,[],[f170,f104]) ).
fof(f104,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).
fof(f170,plain,
! [X6,X7,X4,X5] :
( ~ plant(X7)
| eats(X6,X7)
| ~ plant(X5)
| ~ animal(X6)
| ~ fox(X4)
| ~ eats(X4,X5)
| ~ wolf(X6) ),
inference(subsumption_resolution,[],[f169,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f169,plain,
! [X6,X7,X4,X5] :
( ~ animal(X6)
| ~ plant(X5)
| ~ plant(X7)
| eats(X6,X4)
| ~ fox(X4)
| ~ wolf(X6)
| eats(X6,X7)
| ~ eats(X4,X5) ),
inference(subsumption_resolution,[],[f164,f101]) ).
fof(f164,plain,
! [X6,X7,X4,X5] :
( ~ eats(X4,X5)
| ~ wolf(X6)
| ~ plant(X7)
| ~ fox(X4)
| ~ animal(X6)
| ~ animal(X4)
| eats(X6,X4)
| eats(X6,X7)
| ~ plant(X5) ),
inference(resolution,[],[f93,f100]) ).
fof(f100,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ wolf(X1)
| much_smaller(X0,X1)
| ~ fox(X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( ~ wolf(X0)
| much_smaller(X1,X0)
| ~ fox(X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( much_smaller(X1,X0)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ( fox(X1)
& wolf(X0) )
=> much_smaller(X1,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X2,X0] :
( ( fox(X0)
& wolf(X2) )
=> much_smaller(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f141,plain,
~ spl7_4,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| ~ spl7_4 ),
inference(resolution,[],[f135,f102]) ).
fof(f102,plain,
bird(sK6),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
bird(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f34,f77]) ).
fof(f77,plain,
( ? [X0] : bird(X0)
=> bird(sK6) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0] : bird(X0),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
? [X1] : bird(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_2) ).
fof(f135,plain,
( ! [X3] : ~ bird(X3)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 10:42:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.50 % (23268)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.51 % (23252)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (23265)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.51 % (23257)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (23268)First to succeed.
% 0.21/0.52 % (23249)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (23268)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (23268)------------------------------
% 0.21/0.52 % (23268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (23268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (23268)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (23268)Memory used [KB]: 5628
% 0.21/0.52 % (23268)Time elapsed: 0.113 s
% 0.21/0.52 % (23268)Instructions burned: 9 (million)
% 0.21/0.52 % (23268)------------------------------
% 0.21/0.52 % (23268)------------------------------
% 0.21/0.52 % (23242)Success in time 0.17 s
%------------------------------------------------------------------------------