TSTP Solution File: PUZ031+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : n026.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 1.47s 0.54s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 43
% Syntax : Number of formulae : 189 ( 34 unt; 0 def)
% Number of atoms : 492 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 541 ( 238 ~; 207 |; 42 &)
% ( 14 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 15 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 190 ( 159 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f423,plain,
$false,
inference(avatar_sat_refutation,[],[f127,f211,f221,f246,f253,f265,f279,f283,f302,f320,f331,f355,f383,f395,f411]) ).
fof(f411,plain,
( ~ spl8_1
| ~ spl8_17
| ~ spl8_23 ),
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| ~ spl8_1
| ~ spl8_17
| ~ spl8_23 ),
inference(subsumption_resolution,[],[f399,f233]) ).
fof(f233,plain,
( animal(sK4)
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl8_17
<=> animal(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_17])]) ).
fof(f399,plain,
( ~ animal(sK4)
| ~ spl8_1
| ~ spl8_23 ),
inference(resolution,[],[f264,f123]) ).
fof(f123,plain,
( ! [X0] :
( ~ eats(X0,sK2)
| ~ animal(X0) )
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl8_1
<=> ! [X0] :
( ~ animal(X0)
| ~ eats(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f264,plain,
( eats(sK4,sK2)
| ~ spl8_23 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl8_23
<=> eats(sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_23])]) ).
fof(f395,plain,
~ spl8_20,
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl8_20 ),
inference(subsumption_resolution,[],[f384,f91]) ).
fof(f91,plain,
wolf(sK0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
wolf(sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f71]) ).
fof(f71,plain,
( ? [X0] : wolf(X0)
=> wolf(sK0) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_type) ).
fof(f384,plain,
( ~ wolf(sK0)
| ~ spl8_20 ),
inference(resolution,[],[f245,f181]) ).
fof(f181,plain,
! [X0] :
( ~ eats(X0,sK4)
| ~ wolf(X0) ),
inference(resolution,[],[f94,f100]) ).
fof(f100,plain,
fox(sK4),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
fox(sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f2,f80]) ).
fof(f80,plain,
( ? [X0] : fox(X0)
=> fox(sK4) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_type) ).
fof(f94,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( ( fox(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1,X2] :
( ( wolf(X1)
& fox(X2) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f245,plain,
( eats(sK0,sK4)
| ~ spl8_20 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl8_20
<=> eats(sK0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_20])]) ).
fof(f383,plain,
( ~ spl8_19
| ~ spl8_22 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl8_19
| ~ spl8_22 ),
inference(resolution,[],[f377,f132]) ).
fof(f132,plain,
plant(sK3(sK1)),
inference(resolution,[],[f97,f93]) ).
fof(f93,plain,
caterpillar(sK1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
caterpillar(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f4,f73]) ).
fof(f73,plain,
( ? [X0] : caterpillar(X0)
=> caterpillar(sK1) ),
introduced(choice_axiom,[]) ).
fof(f4,axiom,
? [X0] : caterpillar(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',caterpillar_type) ).
fof(f97,plain,
! [X0] :
( ~ caterpillar(X0)
| plant(sK3(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ caterpillar(X0)
| ( eats(X0,sK3(X0))
& plant(sK3(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f51,f77]) ).
fof(f77,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
=> ( eats(X0,sK3(X0))
& plant(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0] :
( ~ caterpillar(X0)
| ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( caterpillar(X0)
=> ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1] :
( caterpillar(X1)
=> ? [X2] :
( eats(X1,X2)
& plant(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14) ).
fof(f377,plain,
( ! [X1] : ~ plant(X1)
| ~ spl8_19
| ~ spl8_22 ),
inference(subsumption_resolution,[],[f241,f260]) ).
fof(f260,plain,
( ! [X0] :
( eats(sK4,X0)
| ~ plant(X0) )
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl8_22
<=> ! [X0] :
( ~ plant(X0)
| eats(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_22])]) ).
fof(f241,plain,
( ! [X1] :
( ~ eats(sK4,X1)
| ~ plant(X1) )
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl8_19
<=> ! [X1] :
( ~ eats(sK4,X1)
| ~ plant(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_19])]) ).
fof(f355,plain,
~ spl8_16,
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f354,plain,
( $false
| ~ spl8_16 ),
inference(subsumption_resolution,[],[f350,f110]) ).
fof(f110,plain,
grain(sK6),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
grain(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f11,f86]) ).
fof(f86,plain,
( ? [X0] : grain(X0)
=> grain(sK6) ),
introduced(choice_axiom,[]) ).
fof(f11,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_type) ).
fof(f350,plain,
( ~ grain(sK6)
| ~ spl8_16 ),
inference(resolution,[],[f347,f118]) ).
fof(f118,plain,
! [X0] :
( ~ eats(sK0,X0)
| ~ grain(X0) ),
inference(resolution,[],[f91,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ eats(X1,X0)
| ~ grain(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ eats(X1,X0)
| ~ grain(X0) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ~ wolf(X0)
| ~ eats(X0,X1)
| ~ grain(X1) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( grain(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X1,X2] :
( ( wolf(X1)
& grain(X2) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
fof(f347,plain,
( eats(sK0,sK6)
| ~ spl8_16 ),
inference(resolution,[],[f230,f117]) ).
fof(f117,plain,
plant(sK6),
inference(resolution,[],[f105,f110]) ).
fof(f105,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,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(f230,plain,
( ! [X0] :
( ~ plant(X0)
| eats(sK0,X0) )
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl8_16
<=> ! [X0] :
( eats(sK0,X0)
| ~ plant(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_16])]) ).
fof(f331,plain,
( ~ spl8_2
| ~ spl8_14 ),
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f330,plain,
( $false
| ~ spl8_2
| ~ spl8_14 ),
inference(subsumption_resolution,[],[f324,f110]) ).
fof(f324,plain,
( ~ grain(sK6)
| ~ spl8_2
| ~ spl8_14 ),
inference(resolution,[],[f321,f126]) ).
fof(f126,plain,
( ! [X1] :
( ~ eats(sK2,X1)
| ~ grain(X1) )
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl8_2
<=> ! [X1] :
( ~ eats(sK2,X1)
| ~ grain(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f321,plain,
( eats(sK2,sK6)
| ~ spl8_14 ),
inference(resolution,[],[f210,f117]) ).
fof(f210,plain,
( ! [X0] :
( ~ plant(X0)
| eats(sK2,X0) )
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl8_14
<=> ! [X0] :
( ~ plant(X0)
| eats(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f320,plain,
( ~ spl8_14
| ~ spl8_21 ),
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| ~ spl8_14
| ~ spl8_21 ),
inference(resolution,[],[f314,f117]) ).
fof(f314,plain,
( ! [X0] : ~ plant(X0)
| ~ spl8_14
| ~ spl8_21 ),
inference(subsumption_resolution,[],[f210,f257]) ).
fof(f257,plain,
( ! [X1] :
( ~ plant(X1)
| ~ eats(sK2,X1) )
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl8_21
<=> ! [X1] :
( ~ plant(X1)
| ~ eats(sK2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_21])]) ).
fof(f302,plain,
~ spl8_13,
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f301,plain,
( $false
| ~ spl8_13 ),
inference(subsumption_resolution,[],[f285,f95]) ).
fof(f95,plain,
bird(sK2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
bird(sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f3,f75]) ).
fof(f75,plain,
( ? [X0] : bird(X0)
=> bird(sK2) ),
introduced(choice_axiom,[]) ).
fof(f3,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_type) ).
fof(f285,plain,
( ~ bird(sK2)
| ~ spl8_13 ),
inference(resolution,[],[f207,f189]) ).
fof(f189,plain,
! [X0] :
( ~ eats(X0,sK5)
| ~ bird(X0) ),
inference(resolution,[],[f108,f106]) ).
fof(f106,plain,
snail(sK5),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
snail(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f5,f83]) ).
fof(f83,plain,
( ? [X0] : snail(X0)
=> snail(sK5) ),
introduced(choice_axiom,[]) ).
fof(f5,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_type) ).
fof(f108,plain,
! [X0,X1] :
( ~ snail(X0)
| ~ eats(X1,X0)
| ~ bird(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ snail(X0)
| ~ eats(X1,X0)
| ~ bird(X1) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ~ snail(X1)
| ~ eats(X0,X1)
| ~ bird(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( bird(X0)
& snail(X1) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X1,X2] :
( ( snail(X2)
& bird(X1) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(f207,plain,
( eats(sK2,sK5)
| ~ spl8_13 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl8_13
<=> eats(sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
fof(f283,plain,
~ spl8_11,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl8_11 ),
inference(subsumption_resolution,[],[f281,f133]) ).
fof(f133,plain,
plant(sK7(sK5)),
inference(resolution,[],[f115,f106]) ).
fof(f115,plain,
! [X0] :
( ~ snail(X0)
| plant(sK7(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ~ snail(X0)
| ( eats(X0,sK7(X0))
& plant(sK7(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f48,f89]) ).
fof(f89,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
=> ( eats(X0,sK7(X0))
& plant(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ~ snail(X0)
| ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( snail(X0)
=> ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X1] :
( snail(X1)
=> ? [X2] :
( plant(X2)
& eats(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
fof(f281,plain,
( ~ plant(sK7(sK5))
| ~ spl8_11 ),
inference(resolution,[],[f199,f157]) ).
fof(f157,plain,
eats(sK5,sK7(sK5)),
inference(resolution,[],[f116,f106]) ).
fof(f116,plain,
! [X0] :
( ~ snail(X0)
| eats(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f199,plain,
( ! [X1] :
( ~ eats(sK5,X1)
| ~ plant(X1) )
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl8_11
<=> ! [X1] :
( ~ eats(sK5,X1)
| ~ plant(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f279,plain,
spl8_18,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| spl8_18 ),
inference(subsumption_resolution,[],[f274,f91]) ).
fof(f274,plain,
( ~ wolf(sK0)
| spl8_18 ),
inference(resolution,[],[f238,f109]) ).
fof(f109,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( wolf(X0)
=> animal(X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1] :
( wolf(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_1_1) ).
fof(f238,plain,
( ~ animal(sK0)
| spl8_18 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl8_18
<=> animal(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_18])]) ).
fof(f265,plain,
( spl8_21
| spl8_22
| ~ spl8_17
| spl8_23 ),
inference(avatar_split_clause,[],[f254,f262,f232,f259,f256]) ).
fof(f254,plain,
! [X0,X1] :
( eats(sK4,sK2)
| ~ animal(sK4)
| ~ plant(X0)
| ~ plant(X1)
| ~ eats(sK2,X1)
| eats(sK4,X0) ),
inference(subsumption_resolution,[],[f247,f119]) ).
fof(f119,plain,
animal(sK2),
inference(resolution,[],[f95,f113]) ).
fof(f113,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( bird(X0)
=> animal(X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1] :
( bird(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f247,plain,
! [X0,X1] :
( ~ plant(X1)
| ~ eats(sK2,X1)
| ~ plant(X0)
| eats(sK4,X0)
| ~ animal(sK2)
| eats(sK4,sK2)
| ~ animal(sK4) ),
inference(resolution,[],[f213,f111]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ much_smaller(X2,X0)
| ~ plant(X1)
| ~ animal(X0)
| ~ animal(X2)
| eats(X0,X2)
| ~ plant(X3)
| eats(X0,X1)
| ~ eats(X2,X3) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ animal(X0)
| ! [X1] :
( eats(X0,X1)
| ~ plant(X1) )
| ! [X2] :
( ~ animal(X2)
| ! [X3] :
( ~ eats(X2,X3)
| ~ plant(X3) )
| ~ much_smaller(X2,X0)
| eats(X0,X2) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ~ plant(X1) )
| ! [X2] :
( eats(X0,X2)
| ~ animal(X2)
| ~ much_smaller(X2,X0)
| ! [X3] :
( ~ eats(X2,X3)
| ~ plant(X3) ) )
| ~ animal(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [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) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1] :
( animal(X1)
=> ( ! [X2] :
( plant(X2)
=> eats(X1,X2) )
| ! [X3] :
( ( ? [X4] :
( plant(X4)
& eats(X3,X4) )
& animal(X3)
& much_smaller(X3,X1) )
=> eats(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
fof(f213,plain,
much_smaller(sK2,sK4),
inference(resolution,[],[f191,f100]) ).
fof(f191,plain,
! [X0] :
( ~ fox(X0)
| much_smaller(sK2,X0) ),
inference(resolution,[],[f114,f95]) ).
fof(f114,plain,
! [X0,X1] :
( ~ bird(X0)
| much_smaller(X0,X1)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ bird(X0)
| much_smaller(X0,X1)
| ~ fox(X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ( bird(X0)
& fox(X1) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2] :
( ( fox(X2)
& bird(X1) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f253,plain,
spl8_17,
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f252,plain,
( $false
| spl8_17 ),
inference(subsumption_resolution,[],[f251,f100]) ).
fof(f251,plain,
( ~ fox(sK4)
| spl8_17 ),
inference(resolution,[],[f234,f96]) ).
fof(f96,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( fox(X0)
=> animal(X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1] :
( fox(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_2_1) ).
fof(f234,plain,
( ~ animal(sK4)
| spl8_17 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f246,plain,
( spl8_16
| ~ spl8_17
| ~ spl8_18
| spl8_19
| spl8_20 ),
inference(avatar_split_clause,[],[f227,f243,f240,f236,f232,f229]) ).
fof(f227,plain,
! [X0,X1] :
( eats(sK0,sK4)
| ~ eats(sK4,X1)
| ~ plant(X1)
| ~ animal(sK0)
| ~ animal(sK4)
| eats(sK0,X0)
| ~ plant(X0) ),
inference(resolution,[],[f212,f111]) ).
fof(f212,plain,
much_smaller(sK4,sK0),
inference(resolution,[],[f190,f91]) ).
fof(f190,plain,
! [X0] :
( ~ wolf(X0)
| much_smaller(sK4,X0) ),
inference(resolution,[],[f112,f100]) ).
fof(f112,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| much_smaller(X1,X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ fox(X1)
| ~ wolf(X0)
| much_smaller(X1,X0) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ~ fox(X0)
| ~ wolf(X1)
| much_smaller(X0,X1) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ( wolf(X1)
& fox(X0) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X2] :
( ( fox(X1)
& wolf(X2) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f221,plain,
spl8_12,
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f220,plain,
( $false
| spl8_12 ),
inference(subsumption_resolution,[],[f215,f106]) ).
fof(f215,plain,
( ~ snail(sK5)
| spl8_12 ),
inference(resolution,[],[f203,f104]) ).
fof(f104,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( snail(X0)
=> animal(X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1] :
( snail(X1)
=> animal(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_4_2) ).
fof(f203,plain,
( ~ animal(sK5)
| spl8_12 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl8_12
<=> animal(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f211,plain,
( spl8_11
| ~ spl8_12
| spl8_13
| spl8_14 ),
inference(avatar_split_clause,[],[f196,f209,f205,f201,f198]) ).
fof(f196,plain,
! [X0,X1] :
( ~ plant(X0)
| eats(sK2,sK5)
| ~ animal(sK5)
| ~ eats(sK5,X1)
| eats(sK2,X0)
| ~ plant(X1) ),
inference(subsumption_resolution,[],[f195,f119]) ).
fof(f195,plain,
! [X0,X1] :
( ~ eats(sK5,X1)
| ~ animal(sK2)
| eats(sK2,sK5)
| ~ plant(X0)
| eats(sK2,X0)
| ~ animal(sK5)
| ~ plant(X1) ),
inference(resolution,[],[f193,f111]) ).
fof(f193,plain,
much_smaller(sK5,sK2),
inference(resolution,[],[f188,f95]) ).
fof(f188,plain,
! [X0] :
( ~ bird(X0)
| much_smaller(sK5,X0) ),
inference(resolution,[],[f107,f106]) ).
fof(f107,plain,
! [X0,X1] :
( ~ snail(X0)
| much_smaller(X0,X1)
| ~ bird(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ snail(X0)
| much_smaller(X0,X1)
| ~ bird(X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( much_smaller(X0,X1)
| ~ snail(X0)
| ~ bird(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ( snail(X0)
& bird(X1) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X2] :
( ( bird(X2)
& snail(X1) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f127,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f120,f125,f122]) ).
fof(f120,plain,
! [X0,X1] :
( ~ eats(sK2,X1)
| ~ animal(X0)
| ~ eats(X0,sK2)
| ~ grain(X1) ),
inference(resolution,[],[f119,f101]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ animal(X0)
| ~ eats(X1,X0)
| ~ grain(X2)
| ~ eats(X0,X2)
| ~ animal(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ animal(X1)
| ! [X2] :
( ~ grain(X2)
| ~ eats(X1,X0)
| ~ eats(X0,X2) )
| ~ animal(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
~ ? [X0,X1] :
( animal(X0)
& ? [X2] :
( grain(X2)
& eats(X0,X2)
& eats(X1,X0) )
& animal(X1) ),
inference(rectify,[],[f25]) ).
fof(f25,negated_conjecture,
~ ? [X2,X1] :
( animal(X1)
& ? [X4] :
( eats(X2,X4)
& grain(X4)
& eats(X1,X2) )
& animal(X2) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
? [X2,X1] :
( animal(X1)
& ? [X4] :
( eats(X2,X4)
& grain(X4)
& eats(X1,X2) )
& animal(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 10:54:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (7140)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (7134)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (7150)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)
% 0.18/0.51 % (7142)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)
% 0.18/0.51 % (7151)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.51 % (7155)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.51 % (7156)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.51 % (7129)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.51 % (7128)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (7151)First to succeed.
% 0.18/0.51 % (7131)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (7128)Refutation not found, incomplete strategy% (7128)------------------------------
% 0.18/0.51 % (7128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (7128)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (7128)Memory used [KB]: 5373
% 0.18/0.51 % (7128)Time elapsed: 0.125 s
% 0.18/0.51 % (7128)Instructions burned: 1 (million)
% 0.18/0.51 % (7128)------------------------------
% 0.18/0.51 % (7128)------------------------------
% 0.18/0.51 % (7148)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.51 % (7143)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.52 % (7130)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (7127)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52 % (7132)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52 % (7133)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)
% 0.18/0.52 % (7145)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52 % (7147)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52 % (7144)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (7149)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 TRYING [2]
% 0.18/0.52 % (7139)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52 % (7146)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52 % (7137)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)
% 0.18/0.52 TRYING [3]
% 0.18/0.52 % (7153)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52 % (7136)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 TRYING [4]
% 0.18/0.52 TRYING [1]
% 0.18/0.52 TRYING [2]
% 0.18/0.52 % (7136)Instruction limit reached!
% 0.18/0.52 % (7136)------------------------------
% 0.18/0.52 % (7136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (7136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (7136)Termination reason: Unknown
% 0.18/0.52 % (7136)Termination phase: Blocked clause elimination
% 0.18/0.52
% 0.18/0.52 % (7136)Memory used [KB]: 895
% 0.18/0.52 % (7136)Time elapsed: 0.002 s
% 0.18/0.52 % (7136)Instructions burned: 2 (million)
% 0.18/0.52 % (7136)------------------------------
% 0.18/0.52 % (7136)------------------------------
% 0.18/0.52 TRYING [3]
% 0.18/0.53 % (7138)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (7141)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (7154)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)
% 0.18/0.53 % (7152)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53 TRYING [4]
% 0.18/0.53 TRYING [5]
% 0.18/0.53 TRYING [1]
% 0.18/0.53 TRYING [2]
% 0.18/0.53 TRYING [3]
% 0.18/0.53 % (7157)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.54 TRYING [5]
% 0.18/0.54 % (7134)Instruction limit reached!
% 0.18/0.54 % (7134)------------------------------
% 0.18/0.54 % (7134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (7134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (7134)Termination reason: Unknown
% 0.18/0.54 % (7134)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (7134)Memory used [KB]: 5500
% 0.18/0.54 % (7134)Time elapsed: 0.149 s
% 0.18/0.54 % (7134)Instructions burned: 7 (million)
% 0.18/0.54 % (7134)------------------------------
% 0.18/0.54 % (7134)------------------------------
% 0.18/0.54 TRYING [6]
% 1.47/0.54 % (7151)Refutation found. Thanks to Tanya!
% 1.47/0.54 % SZS status Theorem for theBenchmark
% 1.47/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.54 % (7151)------------------------------
% 1.47/0.54 % (7151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (7151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (7151)Termination reason: Refutation
% 1.47/0.54
% 1.47/0.54 % (7151)Memory used [KB]: 5628
% 1.47/0.54 % (7151)Time elapsed: 0.130 s
% 1.47/0.54 % (7151)Instructions burned: 6 (million)
% 1.47/0.54 % (7151)------------------------------
% 1.47/0.54 % (7151)------------------------------
% 1.47/0.54 % (7126)Success in time 0.201 s
%------------------------------------------------------------------------------