TSTP Solution File: PUZ031+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PUZ031+3 : 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 : n017.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 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 44
% Syntax : Number of formulae : 190 ( 29 unt; 0 def)
% Number of atoms : 613 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 814 ( 391 ~; 338 |; 34 &)
% ( 17 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 15 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 232 ( 205 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f570,plain,
$false,
inference(avatar_sat_refutation,[],[f197,f211,f227,f244,f302,f334,f369,f401,f404,f408,f412,f544,f566,f568,f569]) ).
fof(f569,plain,
( spl13_19
| ~ spl13_39
| ~ spl13_42 ),
inference(avatar_split_clause,[],[f443,f406,f364,f246]) ).
fof(f246,plain,
( spl13_19
<=> ! [X5] :
( ~ sP10(X5)
| ~ bird(X5)
| ~ animal(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f364,plain,
( spl13_39
<=> ! [X4] :
( ~ sP12(X4)
| ~ animal(X4)
| ~ bird(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f406,plain,
( spl13_42
<=> ! [X3] :
( ~ sP10(X3)
| sP12(X3)
| ~ animal(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).
fof(f443,plain,
( ! [X0] :
( ~ sP10(X0)
| ~ animal(X0)
| ~ bird(X0) )
| ~ spl13_39
| ~ spl13_42 ),
inference(duplicate_literal_removal,[],[f440]) ).
fof(f440,plain,
( ! [X0] :
( ~ animal(X0)
| ~ animal(X0)
| ~ sP10(X0)
| ~ bird(X0) )
| ~ spl13_39
| ~ spl13_42 ),
inference(resolution,[],[f365,f407]) ).
fof(f407,plain,
( ! [X3] :
( sP12(X3)
| ~ animal(X3)
| ~ sP10(X3) )
| ~ spl13_42 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f365,plain,
( ! [X4] :
( ~ sP12(X4)
| ~ bird(X4)
| ~ animal(X4) )
| ~ spl13_39 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f568,plain,
spl13_51,
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f567,plain,
( $false
| spl13_51 ),
inference(resolution,[],[f509,f137]) ).
fof(f137,plain,
animal(sK7),
inference(resolution,[],[f118,f120]) ).
fof(f120,plain,
fox(sK7),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
fox(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f6,f93]) ).
fof(f93,plain,
( ? [X0] : fox(X0)
=> fox(sK7) ),
introduced(choice_axiom,[]) ).
fof(f6,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_type) ).
fof(f118,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_is_animal) ).
fof(f509,plain,
( ~ animal(sK7)
| spl13_51 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f507,plain,
( spl13_51
<=> animal(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_51])]) ).
fof(f566,plain,
( ~ spl13_51
| ~ spl13_14
| ~ spl13_26
| ~ spl13_33 ),
inference(avatar_split_clause,[],[f565,f332,f297,f209,f507]) ).
fof(f209,plain,
( spl13_14
<=> ! [X1] :
( sP12(X1)
| sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f297,plain,
( spl13_26
<=> ! [X10] :
( ~ sP12(X10)
| ~ animal(X10)
| ~ fox(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f332,plain,
( spl13_33
<=> ! [X9] :
( ~ fox(X9)
| ~ sP11(X9)
| ~ animal(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f565,plain,
( ~ animal(sK7)
| ~ spl13_14
| ~ spl13_26
| ~ spl13_33 ),
inference(resolution,[],[f559,f120]) ).
fof(f559,plain,
( ! [X5] :
( ~ fox(X5)
| ~ animal(X5) )
| ~ spl13_14
| ~ spl13_26
| ~ spl13_33 ),
inference(duplicate_literal_removal,[],[f558]) ).
fof(f558,plain,
( ! [X5] :
( ~ fox(X5)
| ~ animal(X5)
| ~ fox(X5)
| ~ animal(X5) )
| ~ spl13_14
| ~ spl13_26
| ~ spl13_33 ),
inference(resolution,[],[f546,f333]) ).
fof(f333,plain,
( ! [X9] :
( ~ sP11(X9)
| ~ fox(X9)
| ~ animal(X9) )
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f546,plain,
( ! [X1] :
( sP11(X1)
| ~ fox(X1)
| ~ animal(X1) )
| ~ spl13_14
| ~ spl13_26 ),
inference(resolution,[],[f298,f210]) ).
fof(f210,plain,
( ! [X1] :
( sP12(X1)
| sP11(X1) )
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f298,plain,
( ! [X10] :
( ~ sP12(X10)
| ~ animal(X10)
| ~ fox(X10) )
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f544,plain,
( spl13_3
| ~ spl13_14
| ~ spl13_19
| ~ spl13_27
| ~ spl13_39 ),
inference(avatar_split_clause,[],[f543,f364,f300,f246,f209,f161]) ).
fof(f161,plain,
( spl13_3
<=> ! [X7] :
( ~ bird(X7)
| ~ animal(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f300,plain,
( spl13_27
<=> ! [X11] :
( ~ bird(X11)
| ~ animal(X11)
| sP10(X11)
| ~ sP11(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f543,plain,
( ! [X1] :
( ~ animal(X1)
| ~ bird(X1) )
| ~ spl13_14
| ~ spl13_19
| ~ spl13_27
| ~ spl13_39 ),
inference(duplicate_literal_removal,[],[f541]) ).
fof(f541,plain,
( ! [X1] :
( ~ bird(X1)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X1) )
| ~ spl13_14
| ~ spl13_19
| ~ spl13_27
| ~ spl13_39 ),
inference(resolution,[],[f498,f247]) ).
fof(f247,plain,
( ! [X5] :
( ~ sP10(X5)
| ~ bird(X5)
| ~ animal(X5) )
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f498,plain,
( ! [X2] :
( sP10(X2)
| ~ animal(X2)
| ~ bird(X2) )
| ~ spl13_14
| ~ spl13_27
| ~ spl13_39 ),
inference(duplicate_literal_removal,[],[f495]) ).
fof(f495,plain,
( ! [X2] :
( ~ animal(X2)
| sP10(X2)
| ~ bird(X2)
| ~ animal(X2)
| ~ bird(X2) )
| ~ spl13_14
| ~ spl13_27
| ~ spl13_39 ),
inference(resolution,[],[f441,f301]) ).
fof(f301,plain,
( ! [X11] :
( ~ sP11(X11)
| sP10(X11)
| ~ bird(X11)
| ~ animal(X11) )
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f441,plain,
( ! [X1] :
( sP11(X1)
| ~ animal(X1)
| ~ bird(X1) )
| ~ spl13_14
| ~ spl13_39 ),
inference(resolution,[],[f365,f210]) ).
fof(f412,plain,
~ spl13_10,
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| ~ spl13_10 ),
inference(resolution,[],[f410,f138]) ).
fof(f138,plain,
plant(sK2),
inference(resolution,[],[f119,f109]) ).
fof(f109,plain,
grain(sK2),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
grain(sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f16,f80]) ).
fof(f80,plain,
( ? [X0] : grain(X0)
=> grain(sK2) ),
introduced(choice_axiom,[]) ).
fof(f16,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_type) ).
fof(f119,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( grain(X0)
=> plant(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_is_plant) ).
fof(f410,plain,
( ~ plant(sK2)
| ~ spl13_10 ),
inference(resolution,[],[f196,f109]) ).
fof(f196,plain,
( ! [X4] :
( ~ grain(X4)
| ~ plant(X4) )
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl13_10
<=> ! [X4] :
( ~ plant(X4)
| ~ grain(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f408,plain,
( spl13_42
| spl13_10 ),
inference(avatar_split_clause,[],[f214,f195,f406]) ).
fof(f214,plain,
! [X2,X3] :
( ~ plant(X2)
| ~ sP10(X3)
| ~ animal(X3)
| sP12(X3)
| ~ grain(X2) ),
inference(resolution,[],[f129,f132]) ).
fof(f132,plain,
! [X3,X0] :
( eats(X0,X3)
| ~ plant(X3)
| sP12(X0) ),
inference(cnf_transformation,[],[f132_D]) ).
fof(f132_D,plain,
! [X0] :
( ! [X3] :
( eats(X0,X3)
| ~ plant(X3) )
<=> ~ sP12(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f129,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ grain(X0)
| ~ animal(X1)
| ~ sP10(X1) ),
inference(general_splitting,[],[f121,f128_D]) ).
fof(f128,plain,
! [X2,X1] :
( ~ eats(X2,X1)
| sP10(X1)
| ~ animal(X2) ),
inference(cnf_transformation,[],[f128_D]) ).
fof(f128_D,plain,
! [X1] :
( ! [X2] :
( ~ eats(X2,X1)
| ~ animal(X2) )
<=> ~ sP10(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ eats(X2,X1)
| ~ grain(X0)
| ~ animal(X2)
| ~ animal(X1)
| ~ eats(X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ eats(X2,X1)
| ~ grain(X0)
| ~ animal(X2)
| ~ animal(X1)
| ~ eats(X1,X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0,X2,X1] :
( ~ eats(X1,X2)
| ~ grain(X0)
| ~ animal(X1)
| ~ animal(X2)
| ~ eats(X2,X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
~ ? [X1,X2,X0] :
( animal(X2)
& animal(X1)
& grain(X0)
& eats(X1,X2)
& eats(X2,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ? [X4,X1,X2] :
( eats(X1,X2)
& animal(X1)
& animal(X2)
& eats(X2,X4)
& grain(X4) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
? [X4,X1,X2] :
( eats(X1,X2)
& animal(X1)
& animal(X2)
& eats(X2,X4)
& grain(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47) ).
fof(f404,plain,
~ spl13_40,
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl13_40 ),
inference(resolution,[],[f402,f135]) ).
fof(f135,plain,
animal(sK6),
inference(resolution,[],[f106,f116]) ).
fof(f116,plain,
snail(sK6),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
snail(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f12,f90]) ).
fof(f90,plain,
( ? [X0] : snail(X0)
=> snail(sK6) ),
introduced(choice_axiom,[]) ).
fof(f12,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_type) ).
fof(f106,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_is_animal) ).
fof(f402,plain,
( ~ animal(sK6)
| ~ spl13_40 ),
inference(resolution,[],[f392,f116]) ).
fof(f392,plain,
( ! [X1] :
( ~ snail(X1)
| ~ animal(X1) )
| ~ spl13_40 ),
inference(duplicate_literal_removal,[],[f390]) ).
fof(f390,plain,
( ! [X1] :
( ~ snail(X1)
| ~ animal(X1)
| ~ snail(X1) )
| ~ spl13_40 ),
inference(resolution,[],[f368,f271]) ).
fof(f271,plain,
! [X0] :
( sP11(X0)
| ~ snail(X0) ),
inference(duplicate_literal_removal,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ~ snail(X0)
| ~ snail(X0)
| sP11(X0) ),
inference(resolution,[],[f178,f123]) ).
fof(f123,plain,
! [X0] :
( plant(sK8(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ~ snail(X0)
| ( eats(X0,sK8(X0))
& plant(sK8(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f68,f96]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
=> ( eats(X0,sK8(X0))
& plant(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ~ snail(X0)
| ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( snail(X0)
=> ? [X1] :
( eats(X0,X1)
& plant(X1) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X1] :
( snail(X1)
=> ? [X2] :
( eats(X1,X2)
& plant(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
fof(f178,plain,
! [X0] :
( ~ plant(sK8(X0))
| ~ snail(X0)
| sP11(X0) ),
inference(resolution,[],[f130,f124]) ).
fof(f124,plain,
! [X0] :
( eats(X0,sK8(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f130,plain,
! [X2,X1] :
( ~ eats(X1,X2)
| ~ plant(X2)
| sP11(X1) ),
inference(cnf_transformation,[],[f130_D]) ).
fof(f130_D,plain,
! [X1] :
( ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) )
<=> ~ sP11(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f368,plain,
( ! [X5] :
( ~ sP11(X5)
| ~ animal(X5)
| ~ snail(X5) )
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl13_40
<=> ! [X5] :
( ~ sP11(X5)
| ~ animal(X5)
| ~ snail(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f401,plain,
( ~ spl13_9
| ~ spl13_32 ),
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f400,plain,
( $false
| ~ spl13_9
| ~ spl13_32 ),
inference(resolution,[],[f395,f136]) ).
fof(f136,plain,
animal(sK1),
inference(resolution,[],[f114,f105]) ).
fof(f105,plain,
wolf(sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
wolf(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f4,f77]) ).
fof(f77,plain,
( ? [X0] : wolf(X0)
=> wolf(sK1) ),
introduced(choice_axiom,[]) ).
fof(f4,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_type) ).
fof(f114,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_is_animal) ).
fof(f395,plain,
( ~ animal(sK1)
| ~ spl13_9
| ~ spl13_32 ),
inference(resolution,[],[f382,f105]) ).
fof(f382,plain,
( ! [X1] :
( ~ wolf(X1)
| ~ animal(X1) )
| ~ spl13_9
| ~ spl13_32 ),
inference(duplicate_literal_removal,[],[f379]) ).
fof(f379,plain,
( ! [X1] :
( ~ animal(X1)
| ~ wolf(X1)
| ~ wolf(X1) )
| ~ spl13_9
| ~ spl13_32 ),
inference(resolution,[],[f330,f192]) ).
fof(f192,plain,
( ! [X7] :
( sP12(X7)
| ~ wolf(X7) )
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl13_9
<=> ! [X7] :
( sP12(X7)
| ~ wolf(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f330,plain,
( ! [X8] :
( ~ sP12(X8)
| ~ animal(X8)
| ~ wolf(X8) )
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f329,plain,
( spl13_32
<=> ! [X8] :
( ~ sP12(X8)
| ~ wolf(X8)
| ~ animal(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f369,plain,
( spl13_39
| spl13_40 ),
inference(avatar_split_clause,[],[f362,f367,f364]) ).
fof(f362,plain,
! [X4,X5] :
( ~ sP11(X5)
| ~ snail(X5)
| ~ sP12(X4)
| ~ animal(X5)
| ~ bird(X4)
| ~ animal(X4) ),
inference(duplicate_literal_removal,[],[f356]) ).
fof(f356,plain,
! [X4,X5] :
( ~ animal(X5)
| ~ sP12(X4)
| ~ snail(X5)
| ~ sP11(X5)
| ~ animal(X4)
| ~ bird(X4)
| ~ bird(X4)
| ~ snail(X5) ),
inference(resolution,[],[f219,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ snail(X0)
| ~ bird(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ snail(X0)
| ~ bird(X1) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ( snail(X1)
& bird(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X1,X2] :
( ( snail(X2)
& bird(X1) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
fof(f219,plain,
! [X6,X7] :
( eats(X6,X7)
| ~ animal(X6)
| ~ bird(X6)
| ~ sP12(X6)
| ~ snail(X7)
| ~ sP11(X7)
| ~ animal(X7) ),
inference(resolution,[],[f133,f100]) ).
fof(f100,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X1)
| ~ snail(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ snail(X0)
| ~ bird(X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X1)
| ~ snail(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( bird(X1)
& snail(X0) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X1,X2] :
( ( bird(X2)
& snail(X1) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
fof(f133,plain,
! [X0,X1] :
( ~ much_smaller(X1,X0)
| ~ sP12(X0)
| eats(X0,X1)
| ~ animal(X0)
| ~ animal(X1)
| ~ sP11(X1) ),
inference(general_splitting,[],[f131,f132_D]) ).
fof(f131,plain,
! [X3,X0,X1] :
( eats(X0,X1)
| ~ much_smaller(X1,X0)
| ~ animal(X1)
| ~ animal(X0)
| ~ plant(X3)
| eats(X0,X3)
| ~ sP11(X1) ),
inference(general_splitting,[],[f122,f130_D]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( eats(X0,X1)
| ~ much_smaller(X1,X0)
| ~ plant(X2)
| ~ eats(X1,X2)
| ~ animal(X1)
| ~ animal(X0)
| ~ plant(X3)
| eats(X0,X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ~ much_smaller(X1,X0)
| ! [X2] :
( ~ plant(X2)
| ~ eats(X1,X2) )
| ~ animal(X1) )
| ~ animal(X0)
| ! [X3] :
( ~ plant(X3)
| eats(X0,X3) ) ),
inference(flattening,[],[f64]) ).
fof(f64,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,[],[f34]) ).
fof(f34,plain,
! [X0] :
( animal(X0)
=> ( ! [X3] :
( plant(X3)
=> eats(X0,X3) )
| ! [X1] :
( animal(X1)
=> ( ( ? [X2] :
( plant(X2)
& eats(X1,X2) )
& much_smaller(X1,X0) )
=> eats(X0,X1) ) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1] :
( animal(X1)
=> ( ! [X3] :
( animal(X3)
=> ( ( much_smaller(X3,X1)
& ? [X4] :
( eats(X3,X4)
& plant(X4) ) )
=> eats(X1,X3) ) )
| ! [X2] :
( plant(X2)
=> eats(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
fof(f334,plain,
( spl13_32
| spl13_33 ),
inference(avatar_split_clause,[],[f327,f332,f329]) ).
fof(f327,plain,
! [X8,X9] :
( ~ fox(X9)
| ~ sP12(X8)
| ~ animal(X8)
| ~ animal(X9)
| ~ sP11(X9)
| ~ wolf(X8) ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f322,plain,
! [X8,X9] :
( ~ animal(X8)
| ~ fox(X9)
| ~ sP12(X8)
| ~ fox(X9)
| ~ animal(X9)
| ~ sP11(X9)
| ~ wolf(X8)
| ~ wolf(X8) ),
inference(resolution,[],[f218,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( fox(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X1,X2] :
( ( fox(X2)
& wolf(X1) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
fof(f218,plain,
! [X4,X5] :
( eats(X4,X5)
| ~ animal(X4)
| ~ wolf(X4)
| ~ fox(X5)
| ~ sP12(X4)
| ~ animal(X5)
| ~ sP11(X5) ),
inference(resolution,[],[f133,f102]) ).
fof(f102,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( much_smaller(X1,X0)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( much_smaller(X1,X0)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( wolf(X0)
& fox(X1) )
=> much_smaller(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X2,X1] :
( ( fox(X1)
& wolf(X2) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
fof(f302,plain,
( spl13_26
| spl13_27 ),
inference(avatar_split_clause,[],[f280,f300,f297]) ).
fof(f280,plain,
! [X10,X11] :
( ~ bird(X11)
| ~ sP11(X11)
| sP10(X11)
| ~ sP12(X10)
| ~ fox(X10)
| ~ animal(X11)
| ~ animal(X10) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f279,plain,
! [X10,X11] :
( ~ animal(X10)
| ~ bird(X11)
| ~ animal(X10)
| ~ sP12(X10)
| sP10(X11)
| ~ animal(X11)
| ~ sP11(X11)
| ~ fox(X10) ),
inference(resolution,[],[f216,f128]) ).
fof(f216,plain,
! [X0,X1] :
( eats(X0,X1)
| ~ fox(X0)
| ~ bird(X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP11(X1)
| ~ sP12(X0) ),
inference(resolution,[],[f133,f115]) ).
fof(f115,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ fox(X0)
| ~ bird(X1)
| much_smaller(X1,X0) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( ~ fox(X1)
| ~ bird(X0)
| much_smaller(X0,X1) ),
inference(flattening,[],[f69]) ).
fof(f69,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,[],[f21]) ).
fof(f21,axiom,
! [X1,X2] :
( ( bird(X1)
& fox(X2) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
fof(f244,plain,
~ spl13_3,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| ~ spl13_3 ),
inference(resolution,[],[f242,f134]) ).
fof(f134,plain,
animal(sK4),
inference(resolution,[],[f104,f112]) ).
fof(f112,plain,
bird(sK4),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
bird(sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f8,f85]) ).
fof(f85,plain,
( ? [X0] : bird(X0)
=> bird(sK4) ),
introduced(choice_axiom,[]) ).
fof(f8,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_type) ).
fof(f104,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_is_animal) ).
fof(f242,plain,
( ~ animal(sK4)
| ~ spl13_3 ),
inference(resolution,[],[f162,f112]) ).
fof(f162,plain,
( ! [X7] :
( ~ bird(X7)
| ~ animal(X7) )
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f227,plain,
~ spl13_13,
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl13_13 ),
inference(resolution,[],[f207,f113]) ).
fof(f113,plain,
plant(sK5),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
plant(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f14,f87]) ).
fof(f87,plain,
( ? [X0] : plant(X0)
=> plant(sK5) ),
introduced(choice_axiom,[]) ).
fof(f14,axiom,
? [X0] : plant(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plant_type) ).
fof(f207,plain,
( ! [X0] : ~ plant(X0)
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl13_13
<=> ! [X0] : ~ plant(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f211,plain,
( spl13_13
| spl13_14 ),
inference(avatar_split_clause,[],[f186,f209,f206]) ).
fof(f186,plain,
! [X0,X1] :
( sP12(X1)
| ~ plant(X0)
| sP11(X1) ),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( sP11(X1)
| sP12(X1)
| ~ plant(X0)
| ~ plant(X0) ),
inference(resolution,[],[f132,f130]) ).
fof(f197,plain,
( spl13_10
| spl13_9 ),
inference(avatar_split_clause,[],[f183,f191,f195]) ).
fof(f183,plain,
! [X4,X5] :
( sP12(X5)
| ~ plant(X4)
| ~ grain(X4)
| ~ wolf(X5) ),
inference(resolution,[],[f132,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ grain(X1)
| ~ wolf(X0)
| ~ eats(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ grain(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( ( wolf(X0)
& grain(X1) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X1,X2] :
( ( wolf(X1)
& grain(X2) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ031+3 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % 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 : n017.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 10:04:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (32684)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.49 % (32675)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)
% 0.20/0.50 % (32682)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (32700)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.50 % (32682)First to succeed.
% 0.20/0.51 % (32688)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)
% 0.20/0.52 % (32694)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)
% 0.20/0.52 % (32676)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (32684)Also succeeded, but the first one will report.
% 0.20/0.52 % (32690)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (32682)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (32682)------------------------------
% 0.20/0.53 % (32682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32682)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (32682)Memory used [KB]: 5628
% 0.20/0.53 % (32682)Time elapsed: 0.097 s
% 0.20/0.53 % (32682)Instructions burned: 8 (million)
% 0.20/0.53 % (32682)------------------------------
% 0.20/0.53 % (32682)------------------------------
% 0.20/0.53 % (32671)Success in time 0.177 s
%------------------------------------------------------------------------------