TSTP Solution File: PUZ031+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n008.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 18:10:46 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 35
% Syntax : Number of formulae : 153 ( 25 unt; 0 def)
% Number of atoms : 516 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 675 ( 312 ~; 280 |; 42 &)
% ( 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 : 250 ( 221 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f415,plain,
$false,
inference(avatar_sat_refutation,[],[f135,f178,f190,f291,f303,f336,f361,f370,f374,f403,f412,f414]) ).
fof(f414,plain,
~ spl7_29,
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f413,plain,
( $false
| ~ spl7_29 ),
inference(resolution,[],[f402,f95]) ).
fof(f95,plain,
fox(sK5),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
fox(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f34,f73]) ).
fof(f73,plain,
( ? [X0] : fox(X0)
=> fox(sK5) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0] : fox(X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
? [X1] : fox(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_2) ).
fof(f402,plain,
( ! [X0] : ~ fox(X0)
| ~ spl7_29 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f401,plain,
( spl7_29
<=> ! [X0] : ~ fox(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_29])]) ).
fof(f412,plain,
( spl7_13
| spl7_3
| ~ spl7_9
| ~ spl7_28 ),
inference(avatar_split_clause,[],[f411,f398,f185,f128,f215]) ).
fof(f215,plain,
( spl7_13
<=> ! [X11] : ~ grain(X11) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
fof(f128,plain,
( spl7_3
<=> ! [X2] : ~ bird(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f185,plain,
( spl7_9
<=> ! [X6,X7] :
( eats(X6,X7)
| ~ plant(X7)
| ~ bird(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f398,plain,
( spl7_28
<=> ! [X2,X1] :
( ~ grain(X2)
| ~ bird(X1)
| ~ eats(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).
fof(f411,plain,
( ! [X4,X5] :
( ~ bird(X5)
| ~ grain(X4) )
| ~ spl7_9
| ~ spl7_28 ),
inference(subsumption_resolution,[],[f409,f102]) ).
fof(f102,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,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(f409,plain,
( ! [X4,X5] :
( ~ plant(X4)
| ~ grain(X4)
| ~ bird(X5) )
| ~ spl7_9
| ~ spl7_28 ),
inference(duplicate_literal_removal,[],[f407]) ).
fof(f407,plain,
( ! [X4,X5] :
( ~ plant(X4)
| ~ bird(X5)
| ~ grain(X4)
| ~ bird(X5) )
| ~ spl7_9
| ~ spl7_28 ),
inference(resolution,[],[f399,f186]) ).
fof(f186,plain,
( ! [X6,X7] :
( eats(X6,X7)
| ~ plant(X7)
| ~ bird(X6) )
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f399,plain,
( ! [X2,X1] :
( ~ eats(X1,X2)
| ~ grain(X2)
| ~ bird(X1) )
| ~ spl7_28 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f403,plain,
( spl7_28
| spl7_29
| ~ spl7_25 ),
inference(avatar_split_clause,[],[f396,f334,f401,f398]) ).
fof(f334,plain,
( spl7_25
<=> ! [X2,X0] :
( ~ fox(X2)
| ~ bird(X0)
| eats(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).
fof(f396,plain,
( ! [X2,X0,X1] :
( ~ fox(X0)
| ~ grain(X2)
| ~ eats(X1,X2)
| ~ bird(X1) )
| ~ spl7_25 ),
inference(subsumption_resolution,[],[f395,f94]) ).
fof(f94,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f395,plain,
( ! [X2,X0,X1] :
( ~ bird(X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ fox(X0)
| ~ animal(X1) )
| ~ spl7_25 ),
inference(subsumption_resolution,[],[f385,f104]) ).
fof(f104,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,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(f385,plain,
( ! [X2,X0,X1] :
( ~ bird(X1)
| ~ animal(X1)
| ~ grain(X2)
| ~ fox(X0)
| ~ animal(X0)
| ~ eats(X1,X2) )
| ~ spl7_25 ),
inference(resolution,[],[f335,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ eats(X1,X0)
| ~ animal(X1)
| ~ grain(X2)
| ~ animal(X0)
| ~ eats(X0,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ! [X2] :
( ~ eats(X0,X2)
| ~ grain(X2)
| ~ eats(X1,X0) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ~ animal(X1)
| ~ animal(X0)
| ! [X2] :
( ~ eats(X1,X2)
| ~ grain(X2)
| ~ eats(X0,X1) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ? [X1,X0] :
( animal(X0)
& animal(X1)
& ? [X2] :
( eats(X0,X1)
& grain(X2)
& eats(X1,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ? [X0,X2] :
( animal(X0)
& ? [X4] :
( eats(X0,X2)
& grain(X4)
& eats(X2,X4) )
& animal(X2) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
? [X0,X2] :
( animal(X0)
& ? [X4] :
( eats(X0,X2)
& grain(X4)
& eats(X2,X4) )
& animal(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
fof(f335,plain,
( ! [X2,X0] :
( eats(X2,X0)
| ~ fox(X2)
| ~ bird(X0) )
| ~ spl7_25 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f374,plain,
( spl7_13
| ~ spl7_23 ),
inference(avatar_split_clause,[],[f371,f287,f215]) ).
fof(f287,plain,
( spl7_23
<=> ! [X0] : ~ plant(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
fof(f371,plain,
( ! [X0] : ~ grain(X0)
| ~ spl7_23 ),
inference(resolution,[],[f288,f102]) ).
fof(f288,plain,
( ! [X0] : ~ plant(X0)
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f370,plain,
~ spl7_16,
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| ~ spl7_16 ),
inference(resolution,[],[f230,f93]) ).
fof(f93,plain,
wolf(sK4),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
wolf(sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f25,f71]) ).
fof(f71,plain,
( ? [X0] : wolf(X0)
=> wolf(sK4) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] : wolf(X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
? [X1] : wolf(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_2) ).
fof(f230,plain,
( ! [X3] : ~ wolf(X3)
| ~ spl7_16 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl7_16
<=> ! [X3] : ~ wolf(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
fof(f361,plain,
( spl7_16
| spl7_13
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f360,f176,f215,f229]) ).
fof(f176,plain,
( spl7_8
<=> ! [X14,X15] :
( ~ wolf(X14)
| ~ plant(X15)
| eats(X14,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f360,plain,
( ! [X3,X4] :
( ~ grain(X3)
| ~ wolf(X4) )
| ~ spl7_8 ),
inference(subsumption_resolution,[],[f351,f102]) ).
fof(f351,plain,
( ! [X3,X4] :
( ~ wolf(X4)
| ~ plant(X3)
| ~ grain(X3) )
| ~ spl7_8 ),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f343,plain,
( ! [X3,X4] :
( ~ plant(X3)
| ~ grain(X3)
| ~ wolf(X4)
| ~ wolf(X4) )
| ~ spl7_8 ),
inference(resolution,[],[f177,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ wolf(X1)
| ~ grain(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ eats(X1,X0)
| ( ~ fox(X0)
& ~ grain(X0) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ~ wolf(X0)
| ~ eats(X0,X1)
| ( ~ fox(X1)
& ~ grain(X1) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ( ~ fox(X1)
& ~ grain(X1) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( wolf(X0)
& ( grain(X1)
| fox(X1) ) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X2] :
( ( wolf(X0)
& ( grain(X2)
| fox(X2) ) )
=> ~ eats(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f177,plain,
( ! [X14,X15] :
( eats(X14,X15)
| ~ plant(X15)
| ~ wolf(X14) )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f336,plain,
( spl7_23
| spl7_25
| spl7_23
| ~ spl7_7
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f332,f185,f173,f287,f334,f287]) ).
fof(f173,plain,
( spl7_7
<=> ! [X13,X12] :
( ~ fox(X12)
| ~ plant(X13)
| ~ eats(X12,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f332,plain,
( ! [X2,X3,X0,X1] :
( ~ plant(X3)
| ~ fox(X2)
| ~ plant(X1)
| eats(X2,X0)
| ~ bird(X0) )
| ~ spl7_7
| ~ spl7_9 ),
inference(subsumption_resolution,[],[f331,f186]) ).
fof(f331,plain,
( ! [X2,X3,X0,X1] :
( ~ eats(X0,X1)
| ~ plant(X1)
| ~ bird(X0)
| ~ plant(X3)
| ~ fox(X2)
| eats(X2,X0) )
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f180,f174]) ).
fof(f174,plain,
( ! [X12,X13] :
( ~ eats(X12,X13)
| ~ plant(X13)
| ~ fox(X12) )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( ~ bird(X0)
| ~ eats(X0,X1)
| ~ plant(X1)
| ~ plant(X3)
| ~ fox(X2)
| eats(X2,X0)
| eats(X2,X3) ),
inference(subsumption_resolution,[],[f179,f94]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( ~ bird(X0)
| ~ fox(X2)
| eats(X2,X0)
| ~ plant(X1)
| ~ eats(X0,X1)
| ~ animal(X0)
| eats(X2,X3)
| ~ plant(X3) ),
inference(subsumption_resolution,[],[f165,f104]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( ~ plant(X3)
| ~ plant(X1)
| ~ eats(X0,X1)
| ~ animal(X0)
| ~ bird(X0)
| ~ fox(X2)
| ~ animal(X2)
| eats(X2,X3)
| eats(X2,X0) ),
inference(resolution,[],[f85,f99]) ).
fof(f99,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ fox(X0)
| much_smaller(X1,X0)
| ~ bird(X1) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ fox(X0)
| ~ bird(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( fox(X0)
& bird(X1) )
=> much_smaller(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X0] :
( ( fox(X2)
& bird(X0) )
=> much_smaller(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( ~ much_smaller(X2,X0)
| ~ eats(X2,X3)
| ~ plant(X3)
| eats(X0,X2)
| eats(X0,X1)
| ~ plant(X1)
| ~ animal(X0)
| ~ animal(X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ~ plant(X1)
| eats(X0,X1) )
| ! [X2] :
( ~ much_smaller(X2,X0)
| ! [X3] :
( ~ plant(X3)
| ~ eats(X2,X3) )
| ~ animal(X2)
| eats(X0,X2) )
| ~ animal(X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X3] :
( ~ plant(X3)
| eats(X0,X3) )
| ! [X1] :
( ~ much_smaller(X1,X0)
| ! [X2] :
( ~ plant(X2)
| ~ eats(X1,X2) )
| ~ animal(X1)
| eats(X0,X1) )
| ~ animal(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X3] :
( ~ plant(X3)
| eats(X0,X3) )
| ! [X1] :
( eats(X0,X1)
| ! [X2] :
( ~ plant(X2)
| ~ eats(X1,X2) )
| ~ much_smaller(X1,X0)
| ~ animal(X1) )
| ~ animal(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( animal(X0)
=> ( ! [X3] :
( plant(X3)
=> eats(X0,X3) )
| ! [X1] :
( ( ? [X2] :
( eats(X1,X2)
& plant(X2) )
& much_smaller(X1,X0)
& animal(X1) )
=> eats(X0,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( animal(X0)
=> ( ! [X3] :
( ( animal(X3)
& much_smaller(X3,X0)
& ? [X4] :
( eats(X3,X4)
& plant(X4) ) )
=> eats(X0,X3) )
| ! [X2] :
( plant(X2)
=> eats(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
fof(f303,plain,
~ spl7_10,
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| ~ spl7_10 ),
inference(resolution,[],[f301,f92]) ).
fof(f92,plain,
snail(sK3),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
snail(sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f33,f69]) ).
fof(f69,plain,
( ? [X0] : snail(X0)
=> snail(sK3) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] : snail(X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
? [X1] : snail(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_5_2) ).
fof(f301,plain,
( ! [X1] : ~ snail(X1)
| ~ spl7_10 ),
inference(subsumption_resolution,[],[f300,f87]) ).
fof(f87,plain,
! [X0] :
( plant(sK2(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( ~ caterpillar(X0)
& ~ snail(X0) )
| ( eats(X0,sK2(X0))
& plant(sK2(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f48,f66]) ).
fof(f66,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
=> ( eats(X0,sK2(X0))
& plant(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ( ~ caterpillar(X0)
& ~ snail(X0) )
| ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( snail(X0)
| caterpillar(X0) )
=> ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( snail(X0)
| caterpillar(X0) )
=> ? [X2] :
( plant(X2)
& eats(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).
fof(f300,plain,
( ! [X1] :
( ~ snail(X1)
| ~ plant(sK2(X1)) )
| ~ spl7_10 ),
inference(duplicate_literal_removal,[],[f298]) ).
fof(f298,plain,
( ! [X1] :
( ~ snail(X1)
| ~ plant(sK2(X1))
| ~ snail(X1) )
| ~ spl7_10 ),
inference(resolution,[],[f189,f88]) ).
fof(f88,plain,
! [X0] :
( eats(X0,sK2(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f189,plain,
( ! [X4,X5] :
( ~ eats(X4,X5)
| ~ plant(X5)
| ~ snail(X4) )
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl7_10
<=> ! [X4,X5] :
( ~ plant(X5)
| ~ snail(X4)
| ~ eats(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f291,plain,
~ spl7_13,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| ~ spl7_13 ),
inference(resolution,[],[f216,f96]) ).
fof(f96,plain,
grain(sK6),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
grain(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f11,f75]) ).
fof(f75,plain,
( ? [X0] : grain(X0)
=> grain(sK6) ),
introduced(choice_axiom,[]) ).
fof(f11,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_6_1) ).
fof(f216,plain,
( ! [X11] : ~ grain(X11)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f190,plain,
( spl7_9
| spl7_10 ),
inference(avatar_split_clause,[],[f183,f188,f185]) ).
fof(f183,plain,
! [X6,X7,X4,X5] :
( ~ plant(X5)
| eats(X6,X7)
| ~ eats(X4,X5)
| ~ bird(X6)
| ~ plant(X7)
| ~ snail(X4) ),
inference(subsumption_resolution,[],[f182,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,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(f182,plain,
! [X6,X7,X4,X5] :
( eats(X6,X4)
| eats(X6,X7)
| ~ eats(X4,X5)
| ~ plant(X7)
| ~ plant(X5)
| ~ bird(X6)
| ~ snail(X4) ),
inference(subsumption_resolution,[],[f181,f83]) ).
fof(f83,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,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(f181,plain,
! [X6,X7,X4,X5] :
( ~ bird(X6)
| ~ animal(X4)
| eats(X6,X7)
| ~ plant(X5)
| eats(X6,X4)
| ~ eats(X4,X5)
| ~ snail(X4)
| ~ plant(X7) ),
inference(subsumption_resolution,[],[f166,f94]) ).
fof(f166,plain,
! [X6,X7,X4,X5] :
( ~ animal(X4)
| eats(X6,X7)
| eats(X6,X4)
| ~ animal(X6)
| ~ plant(X5)
| ~ plant(X7)
| ~ snail(X4)
| ~ eats(X4,X5)
| ~ bird(X6) ),
inference(resolution,[],[f85,f98]) ).
fof(f98,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ snail(X0)
| ~ bird(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X1)
| ( ~ snail(X0)
& ~ caterpillar(X0) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ( ~ snail(X1)
& ~ caterpillar(X1) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( much_smaller(X1,X0)
| ( ~ snail(X1)
& ~ caterpillar(X1) )
| ~ bird(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ( ( snail(X1)
| caterpillar(X1) )
& bird(X0) )
=> much_smaller(X1,X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X0] :
( ( bird(X2)
& ( snail(X0)
| caterpillar(X0) ) )
=> much_smaller(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f178,plain,
( spl7_7
| spl7_8 ),
inference(avatar_split_clause,[],[f171,f176,f173]) ).
fof(f171,plain,
! [X14,X15,X12,X13] :
( ~ wolf(X14)
| ~ fox(X12)
| ~ eats(X12,X13)
| eats(X14,X15)
| ~ plant(X13)
| ~ plant(X15) ),
inference(subsumption_resolution,[],[f170,f79]) ).
fof(f79,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,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,
! [X14,X15,X12,X13] :
( ~ fox(X12)
| ~ plant(X15)
| eats(X14,X15)
| ~ animal(X14)
| ~ eats(X12,X13)
| ~ plant(X13)
| ~ wolf(X14) ),
inference(subsumption_resolution,[],[f169,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f169,plain,
! [X14,X15,X12,X13] :
( ~ plant(X13)
| eats(X14,X12)
| ~ plant(X15)
| ~ wolf(X14)
| eats(X14,X15)
| ~ animal(X14)
| ~ fox(X12)
| ~ eats(X12,X13) ),
inference(subsumption_resolution,[],[f168,f104]) ).
fof(f168,plain,
! [X14,X15,X12,X13] :
( ~ plant(X13)
| ~ plant(X15)
| ~ animal(X14)
| ~ wolf(X14)
| ~ fox(X12)
| ~ eats(X12,X13)
| ~ animal(X12)
| eats(X14,X15)
| eats(X14,X12) ),
inference(resolution,[],[f85,f81]) ).
fof(f81,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ fox(X0)
| ~ wolf(X1)
| much_smaller(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ( fox(X0)
& wolf(X1) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X0,X2] :
( ( wolf(X2)
& fox(X0) )
=> much_smaller(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f135,plain,
~ spl7_3,
inference(avatar_contradiction_clause,[],[f134]) ).
fof(f134,plain,
( $false
| ~ spl7_3 ),
inference(resolution,[],[f129,f82]) ).
fof(f82,plain,
bird(sK1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
bird(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f29,f62]) ).
fof(f62,plain,
( ? [X0] : bird(X0)
=> bird(sK1) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] : bird(X0),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
? [X1] : bird(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_2) ).
fof(f129,plain,
( ! [X2] : ~ bird(X2)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ031+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 10:43:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (600)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.46 % (595)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.46 % (600)Refutation not found, incomplete strategy% (600)------------------------------
% 0.19/0.46 % (600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (600)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.46
% 0.19/0.46 % (600)Memory used [KB]: 5884
% 0.19/0.46 % (600)Time elapsed: 0.075 s
% 0.19/0.46 % (600)Instructions burned: 2 (million)
% 0.19/0.46 % (600)------------------------------
% 0.19/0.46 % (600)------------------------------
% 0.19/0.47 % (595)Refutation not found, incomplete strategy% (595)------------------------------
% 0.19/0.47 % (595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (595)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47 % (595)Memory used [KB]: 5884
% 0.19/0.47 % (595)Time elapsed: 0.076 s
% 0.19/0.47 % (595)Instructions burned: 2 (million)
% 0.19/0.47 % (595)------------------------------
% 0.19/0.47 % (595)------------------------------
% 0.19/0.48 % (614)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.48 % (614)Refutation not found, incomplete strategy% (614)------------------------------
% 0.19/0.48 % (614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (614)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (614)Memory used [KB]: 1407
% 0.19/0.48 % (614)Time elapsed: 0.088 s
% 0.19/0.48 % (614)Instructions burned: 2 (million)
% 0.19/0.48 % (614)------------------------------
% 0.19/0.48 % (614)------------------------------
% 0.19/0.51 % (591)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (593)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (593)Instruction limit reached!
% 0.19/0.51 % (593)------------------------------
% 0.19/0.51 % (593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (593)Termination reason: Unknown
% 0.19/0.51 % (593)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (593)Memory used [KB]: 5884
% 0.19/0.51 % (593)Time elapsed: 0.108 s
% 0.19/0.51 % (593)Instructions burned: 3 (million)
% 0.19/0.51 % (593)------------------------------
% 0.19/0.51 % (593)------------------------------
% 0.19/0.52 % (591)First to succeed.
% 0.19/0.52 % (610)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.52 % (603)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.52 % (617)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (592)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (617)Refutation not found, incomplete strategy% (617)------------------------------
% 0.19/0.52 % (617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (617)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (617)Memory used [KB]: 5884
% 0.19/0.52 % (617)Time elapsed: 0.116 s
% 0.19/0.52 % (617)Instructions burned: 2 (million)
% 0.19/0.52 % (617)------------------------------
% 0.19/0.52 % (617)------------------------------
% 0.19/0.52 % (603)Refutation not found, incomplete strategy% (603)------------------------------
% 0.19/0.52 % (603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (603)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (603)Memory used [KB]: 1407
% 0.19/0.52 % (603)Time elapsed: 0.123 s
% 0.19/0.52 % (603)Instructions burned: 2 (million)
% 0.19/0.52 % (603)------------------------------
% 0.19/0.52 % (603)------------------------------
% 0.19/0.52 % (592)Refutation not found, incomplete strategy% (592)------------------------------
% 0.19/0.52 % (592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (592)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (592)Memory used [KB]: 5884
% 0.19/0.52 % (592)Time elapsed: 0.002 s
% 0.19/0.52 % (592)------------------------------
% 0.19/0.52 % (592)------------------------------
% 0.19/0.52 % (594)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (619)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (594)Refutation not found, incomplete strategy% (594)------------------------------
% 0.19/0.52 % (594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (594)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (594)Memory used [KB]: 5884
% 0.19/0.52 % (594)Time elapsed: 0.001 s
% 0.19/0.52 % (594)------------------------------
% 0.19/0.52 % (594)------------------------------
% 0.19/0.53 % (619)Refutation not found, incomplete strategy% (619)------------------------------
% 0.19/0.53 % (619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (619)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (619)Memory used [KB]: 5884
% 0.19/0.53 % (619)Time elapsed: 0.129 s
% 0.19/0.53 % (619)Instructions burned: 2 (million)
% 0.19/0.53 % (619)------------------------------
% 0.19/0.53 % (619)------------------------------
% 0.19/0.53 % (618)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (596)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.53 % (613)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (599)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53 % (596)Refutation not found, incomplete strategy% (596)------------------------------
% 0.19/0.53 % (596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (596)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (596)Memory used [KB]: 1407
% 0.19/0.53 % (596)Time elapsed: 0.125 s
% 0.19/0.53 % (596)------------------------------
% 0.19/0.53 % (596)------------------------------
% 0.19/0.53 % (601)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.53 % (591)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (591)------------------------------
% 0.19/0.53 % (591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (591)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (591)Memory used [KB]: 6140
% 0.19/0.53 % (591)Time elapsed: 0.113 s
% 0.19/0.53 % (591)Instructions burned: 8 (million)
% 0.19/0.53 % (591)------------------------------
% 0.19/0.53 % (591)------------------------------
% 0.19/0.53 % (588)Success in time 0.177 s
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