TSTP Solution File: PUZ031+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ031+3 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Tue May 21 02:29:05 EDT 2024
% Result : Theorem 0.07s 0.30s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 39
% Syntax : Number of formulae : 171 ( 24 unt; 0 def)
% Number of atoms : 566 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 757 ( 362 ~; 314 |; 34 &)
% ( 14 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 12 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 214 ( 189 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f553,plain,
$false,
inference(avatar_sat_refutation,[],[f169,f191,f285,f350,f352,f371,f374,f396,f491,f497,f546,f552]) ).
fof(f552,plain,
~ spl13_44,
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| ~ spl13_44 ),
inference(resolution,[],[f550,f131]) ).
fof(f131,plain,
animal(sK5),
inference(resolution,[],[f98,f116]) ).
fof(f116,plain,
snail(sK5),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
snail(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f12,f83]) ).
fof(f83,plain,
( ? [X0] : snail(X0)
=> snail(sK5) ),
introduced(choice_axiom,[]) ).
fof(f12,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).
fof(f98,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_animal) ).
fof(f550,plain,
( ~ animal(sK5)
| ~ spl13_44 ),
inference(resolution,[],[f549,f116]) ).
fof(f549,plain,
( ! [X0] :
( ~ snail(X0)
| ~ animal(X0) )
| ~ spl13_44 ),
inference(duplicate_literal_removal,[],[f547]) ).
fof(f547,plain,
( ! [X0] :
( ~ snail(X0)
| ~ animal(X0)
| ~ snail(X0) )
| ~ spl13_44 ),
inference(resolution,[],[f490,f195]) ).
fof(f195,plain,
! [X0] :
( sP11(X0)
| ~ snail(X0) ),
inference(duplicate_literal_removal,[],[f194]) ).
fof(f194,plain,
! [X0] :
( sP11(X0)
| ~ snail(X0)
| ~ snail(X0) ),
inference(resolution,[],[f154,f101]) ).
fof(f101,plain,
! [X0] :
( plant(sK1(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( eats(X0,sK1(X0))
& plant(sK1(X0)) )
| ~ snail(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f53,f75]) ).
fof(f75,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
=> ( eats(X0,sK1(X0))
& plant(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
| ~ snail(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,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/sandbox/benchmark/theBenchmark.p',pel47_14a) ).
fof(f154,plain,
! [X0] :
( ~ plant(sK1(X0))
| sP11(X0)
| ~ snail(X0) ),
inference(resolution,[],[f123,f102]) ).
fof(f102,plain,
! [X0] :
( eats(X0,sK1(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f123,plain,
! [X2,X1] :
( ~ eats(X1,X2)
| ~ plant(X2)
| sP11(X1) ),
inference(cnf_transformation,[],[f123_D]) ).
fof(f123_D,plain,
! [X1] :
( ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) )
<=> ~ sP11(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f490,plain,
( ! [X0] :
( ~ sP11(X0)
| ~ snail(X0)
| ~ animal(X0) )
| ~ spl13_44 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f489,plain,
( spl13_44
<=> ! [X0] :
( ~ animal(X0)
| ~ snail(X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).
fof(f546,plain,
( ~ spl13_3
| ~ spl13_7
| ~ spl13_24
| ~ spl13_25 ),
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f545,plain,
( $false
| ~ spl13_3
| ~ spl13_7
| ~ spl13_24
| ~ spl13_25 ),
inference(resolution,[],[f544,f132]) ).
fof(f132,plain,
animal(sK7),
inference(resolution,[],[f103,f118]) ).
fof(f118,plain,
bird(sK7),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
bird(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f8,f87]) ).
fof(f87,plain,
( ? [X0] : bird(X0)
=> bird(sK7) ),
introduced(choice_axiom,[]) ).
fof(f8,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).
fof(f103,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_animal) ).
fof(f544,plain,
( ~ animal(sK7)
| ~ spl13_3
| ~ spl13_7
| ~ spl13_24
| ~ spl13_25 ),
inference(resolution,[],[f542,f118]) ).
fof(f542,plain,
( ! [X0] :
( ~ bird(X0)
| ~ animal(X0) )
| ~ spl13_3
| ~ spl13_7
| ~ spl13_24
| ~ spl13_25 ),
inference(duplicate_literal_removal,[],[f539]) ).
fof(f539,plain,
( ! [X0] :
( ~ bird(X0)
| ~ animal(X0)
| ~ animal(X0)
| ~ bird(X0) )
| ~ spl13_3
| ~ spl13_7
| ~ spl13_24
| ~ spl13_25 ),
inference(resolution,[],[f514,f502]) ).
fof(f502,plain,
( ! [X0] :
( sP10(X0)
| ~ animal(X0)
| ~ bird(X0) )
| ~ spl13_7
| ~ spl13_25 ),
inference(resolution,[],[f295,f187]) ).
fof(f187,plain,
( ! [X1] :
( sP12(X1)
| sP10(X1) )
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl13_7
<=> ! [X1] :
( sP12(X1)
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f295,plain,
( ! [X1] :
( ~ sP12(X1)
| ~ bird(X1)
| ~ animal(X1) )
| ~ spl13_25 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl13_25
<=> ! [X1] :
( ~ animal(X1)
| ~ bird(X1)
| ~ sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f514,plain,
( ! [X0] :
( ~ sP10(X0)
| ~ bird(X0)
| ~ animal(X0) )
| ~ spl13_3
| ~ spl13_24
| ~ spl13_25 ),
inference(duplicate_literal_removal,[],[f505]) ).
fof(f505,plain,
( ! [X0] :
( ~ animal(X0)
| ~ bird(X0)
| ~ sP10(X0)
| ~ bird(X0)
| ~ animal(X0) )
| ~ spl13_3
| ~ spl13_24
| ~ spl13_25 ),
inference(resolution,[],[f500,f284]) ).
fof(f284,plain,
( ! [X0] :
( ~ sP11(X0)
| ~ sP10(X0)
| ~ bird(X0)
| ~ animal(X0) )
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl13_24
<=> ! [X0] :
( ~ animal(X0)
| ~ sP10(X0)
| ~ bird(X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f500,plain,
( ! [X0] :
( sP11(X0)
| ~ animal(X0)
| ~ bird(X0) )
| ~ spl13_3
| ~ spl13_25 ),
inference(resolution,[],[f295,f165]) ).
fof(f165,plain,
( ! [X1] :
( sP12(X1)
| sP11(X1) )
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl13_3
<=> ! [X1] :
( sP12(X1)
| sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f497,plain,
~ spl13_4,
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f494,plain,
( $false
| ~ spl13_4 ),
inference(resolution,[],[f168,f127]) ).
fof(f127,plain,
plant(sK2),
inference(resolution,[],[f94,f113]) ).
fof(f113,plain,
grain(sK2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
grain(sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f16,f77]) ).
fof(f77,plain,
( ? [X0] : grain(X0)
=> grain(sK2) ),
introduced(choice_axiom,[]) ).
fof(f16,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).
fof(f94,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( grain(X0)
=> plant(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_plant) ).
fof(f168,plain,
( ! [X0] : ~ plant(X0)
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl13_4
<=> ! [X0] : ~ plant(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f491,plain,
( spl13_25
| spl13_44 ),
inference(avatar_split_clause,[],[f268,f489,f294]) ).
fof(f268,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP11(X0)
| ~ sP12(X1)
| ~ snail(X0)
| ~ bird(X1) ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP11(X0)
| ~ sP12(X1)
| ~ snail(X0)
| ~ bird(X1)
| ~ snail(X0)
| ~ bird(X1) ),
inference(resolution,[],[f175,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( 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/sandbox/benchmark/theBenchmark.p',pel47_13) ).
fof(f175,plain,
! [X0,X1] :
( eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP11(X1)
| ~ sP12(X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(resolution,[],[f126,f110]) ).
fof(f110,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> much_smaller(X1,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X2,X1] :
( ( snail(X1)
& bird(X2) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
fof(f126,plain,
! [X0,X1] :
( ~ much_smaller(X1,X0)
| eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP11(X1)
| ~ sP12(X0) ),
inference(general_splitting,[],[f124,f125_D]) ).
fof(f125,plain,
! [X3,X0] :
( eats(X0,X3)
| ~ plant(X3)
| sP12(X0) ),
inference(cnf_transformation,[],[f125_D]) ).
fof(f125_D,plain,
! [X0] :
( ! [X3] :
( eats(X0,X3)
| ~ plant(X3) )
<=> ~ sP12(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f124,plain,
! [X3,X0,X1] :
( eats(X0,X1)
| ~ much_smaller(X1,X0)
| ~ animal(X1)
| eats(X0,X3)
| ~ plant(X3)
| ~ animal(X0)
| ~ sP11(X1) ),
inference(general_splitting,[],[f104,f123_D]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( eats(X0,X1)
| ~ eats(X1,X2)
| ~ plant(X2)
| ~ much_smaller(X1,X0)
| ~ animal(X1)
| eats(X0,X3)
| ~ plant(X3)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) )
| ~ much_smaller(X1,X0)
| ~ animal(X1) )
| ! [X3] :
( eats(X0,X3)
| ~ plant(X3) )
| ~ animal(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) )
| ~ much_smaller(X1,X0)
| ~ animal(X1) )
| ! [X3] :
( eats(X0,X3)
| ~ plant(X3) )
| ~ animal(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( animal(X0)
=> ( ! [X1] :
( animal(X1)
=> ( ( ? [X2] :
( eats(X1,X2)
& plant(X2) )
& much_smaller(X1,X0) )
=> eats(X0,X1) ) )
| ! [X3] :
( plant(X3)
=> eats(X0,X3) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1] :
( animal(X1)
=> ( ! [X3] :
( animal(X3)
=> ( ( ? [X4] :
( eats(X3,X4)
& plant(X4) )
& much_smaller(X3,X1) )
=> eats(X1,X3) ) )
| ! [X2] :
( plant(X2)
=> eats(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).
fof(f396,plain,
( ~ spl13_3
| ~ spl13_23
| ~ spl13_33 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl13_3
| ~ spl13_23
| ~ spl13_33 ),
inference(resolution,[],[f394,f129]) ).
fof(f129,plain,
animal(sK3),
inference(resolution,[],[f96,f114]) ).
fof(f114,plain,
fox(sK3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
fox(sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f6,f79]) ).
fof(f79,plain,
( ? [X0] : fox(X0)
=> fox(sK3) ),
introduced(choice_axiom,[]) ).
fof(f6,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).
fof(f96,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_animal) ).
fof(f394,plain,
( ~ animal(sK3)
| ~ spl13_3
| ~ spl13_23
| ~ spl13_33 ),
inference(resolution,[],[f382,f114]) ).
fof(f382,plain,
( ! [X0] :
( ~ fox(X0)
| ~ animal(X0) )
| ~ spl13_3
| ~ spl13_23
| ~ spl13_33 ),
inference(duplicate_literal_removal,[],[f378]) ).
fof(f378,plain,
( ! [X0] :
( ~ fox(X0)
| ~ animal(X0)
| ~ animal(X0)
| ~ fox(X0) )
| ~ spl13_3
| ~ spl13_23
| ~ spl13_33 ),
inference(resolution,[],[f370,f290]) ).
fof(f290,plain,
( ! [X0] :
( sP11(X0)
| ~ animal(X0)
| ~ fox(X0) )
| ~ spl13_3
| ~ spl13_23 ),
inference(resolution,[],[f281,f165]) ).
fof(f281,plain,
( ! [X1] :
( ~ sP12(X1)
| ~ fox(X1)
| ~ animal(X1) )
| ~ spl13_23 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl13_23
<=> ! [X1] :
( ~ animal(X1)
| ~ fox(X1)
| ~ sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f370,plain,
( ! [X0] :
( ~ sP11(X0)
| ~ fox(X0)
| ~ animal(X0) )
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f369,plain,
( spl13_33
<=> ! [X0] :
( ~ animal(X0)
| ~ fox(X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f374,plain,
~ spl13_8,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| ~ spl13_8 ),
inference(resolution,[],[f372,f127]) ).
fof(f372,plain,
( ~ plant(sK2)
| ~ spl13_8 ),
inference(resolution,[],[f190,f113]) ).
fof(f190,plain,
( ! [X0] :
( ~ grain(X0)
| ~ plant(X0) )
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl13_8
<=> ! [X0] :
( ~ plant(X0)
| ~ grain(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f371,plain,
( spl13_27
| spl13_33 ),
inference(avatar_split_clause,[],[f277,f369,f320]) ).
fof(f320,plain,
( spl13_27
<=> ! [X1] :
( ~ animal(X1)
| ~ wolf(X1)
| ~ sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f277,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP11(X0)
| ~ sP12(X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f273,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP11(X0)
| ~ sP12(X1)
| ~ wolf(X1)
| ~ fox(X0)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(resolution,[],[f177,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,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/sandbox/benchmark/theBenchmark.p',pel47_11) ).
fof(f177,plain,
! [X0,X1] :
( eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP11(X1)
| ~ sP12(X0)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(resolution,[],[f126,f107]) ).
fof(f107,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( wolf(X1)
& fox(X0) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X2] :
( ( wolf(X2)
& fox(X1) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
fof(f352,plain,
( spl13_15
| spl13_8 ),
inference(avatar_split_clause,[],[f160,f189,f219]) ).
fof(f219,plain,
( spl13_15
<=> ! [X1] :
( sP12(X1)
| ~ wolf(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f160,plain,
! [X0,X1] :
( ~ plant(X0)
| sP12(X1)
| ~ grain(X0)
| ~ wolf(X1) ),
inference(resolution,[],[f125,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( grain(X1)
& wolf(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X1,X2] :
( ( grain(X2)
& wolf(X1) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).
fof(f350,plain,
( ~ spl13_15
| ~ spl13_27 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f349,plain,
( $false
| ~ spl13_15
| ~ spl13_27 ),
inference(resolution,[],[f348,f130]) ).
fof(f130,plain,
animal(sK6),
inference(resolution,[],[f97,f117]) ).
fof(f117,plain,
wolf(sK6),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
wolf(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f4,f85]) ).
fof(f85,plain,
( ? [X0] : wolf(X0)
=> wolf(sK6) ),
introduced(choice_axiom,[]) ).
fof(f4,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).
fof(f97,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_animal) ).
fof(f348,plain,
( ~ animal(sK6)
| ~ spl13_15
| ~ spl13_27 ),
inference(resolution,[],[f338,f117]) ).
fof(f338,plain,
( ! [X0] :
( ~ wolf(X0)
| ~ animal(X0) )
| ~ spl13_15
| ~ spl13_27 ),
inference(duplicate_literal_removal,[],[f335]) ).
fof(f335,plain,
( ! [X0] :
( ~ wolf(X0)
| ~ animal(X0)
| ~ wolf(X0) )
| ~ spl13_15
| ~ spl13_27 ),
inference(resolution,[],[f321,f220]) ).
fof(f220,plain,
( ! [X1] :
( sP12(X1)
| ~ wolf(X1) )
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f321,plain,
( ! [X1] :
( ~ sP12(X1)
| ~ wolf(X1)
| ~ animal(X1) )
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f285,plain,
( spl13_23
| spl13_24 ),
inference(avatar_split_clause,[],[f252,f283,f280]) ).
fof(f252,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP11(X0)
| ~ sP12(X1)
| ~ fox(X1)
| ~ bird(X0)
| ~ sP10(X0) ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP11(X0)
| ~ sP12(X1)
| ~ fox(X1)
| ~ bird(X0)
| ~ animal(X0)
| ~ animal(X1)
| ~ sP10(X0) ),
inference(resolution,[],[f174,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP10(X1) ),
inference(general_splitting,[],[f93,f121_D]) ).
fof(f121,plain,
! [X2,X1] :
( ~ eats(X1,X2)
| ~ grain(X2)
| sP10(X1) ),
inference(cnf_transformation,[],[f121_D]) ).
fof(f121_D,plain,
! [X1] :
( ! [X2] :
( ~ eats(X1,X2)
| ~ grain(X2) )
<=> ~ sP10(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ? [X0,X1,X2] :
( eats(X0,X1)
& eats(X1,X2)
& grain(X2)
& animal(X1)
& animal(X0) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ? [X1,X2,X4] :
( eats(X1,X2)
& eats(X2,X4)
& grain(X4)
& animal(X2)
& animal(X1) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
? [X1,X2,X4] :
( eats(X1,X2)
& eats(X2,X4)
& grain(X4)
& animal(X2)
& animal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
fof(f174,plain,
! [X0,X1] :
( eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP11(X1)
| ~ sP12(X0)
| ~ fox(X0)
| ~ bird(X1) ),
inference(resolution,[],[f126,f111]) ).
fof(f111,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( fox(X1)
& bird(X0) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X1,X2] :
( ( fox(X2)
& bird(X1) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
fof(f191,plain,
( spl13_7
| spl13_8 ),
inference(avatar_split_clause,[],[f161,f189,f186]) ).
fof(f161,plain,
! [X0,X1] :
( ~ plant(X0)
| sP12(X1)
| ~ grain(X0)
| sP10(X1) ),
inference(resolution,[],[f125,f121]) ).
fof(f169,plain,
( spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f162,f167,f164]) ).
fof(f162,plain,
! [X0,X1] :
( ~ plant(X0)
| sP12(X1)
| sP11(X1) ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ plant(X0)
| sP12(X1)
| ~ plant(X0)
| sP11(X1) ),
inference(resolution,[],[f125,f123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : PUZ031+3 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.26 % Computer : n021.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Sat May 18 10:29:52 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % (9705)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.29 % (9706)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.07/0.29 TRYING [1]
% 0.07/0.29 TRYING [2]
% 0.07/0.29 TRYING [3]
% 0.07/0.29 TRYING [4]
% 0.07/0.29 % (9708)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.07/0.29 TRYING [5]
% 0.07/0.30 TRYING [6]
% 0.07/0.30 % (9707)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.07/0.30 % (9710)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.07/0.30 % (9711)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.07/0.30 % (9709)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.07/0.30 % (9712)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.07/0.30 TRYING [1]
% 0.07/0.30 TRYING [1]
% 0.07/0.30 TRYING [2]
% 0.07/0.30 TRYING [1]
% 0.07/0.30 TRYING [2]
% 0.07/0.30 TRYING [2]
% 0.07/0.30 TRYING [3]
% 0.07/0.30 TRYING [7]
% 0.07/0.30 % (9708)First to succeed.
% 0.07/0.30 TRYING [3]
% 0.07/0.30 TRYING [3]
% 0.07/0.30 TRYING [4]
% 0.07/0.30 % (9710)Also succeeded, but the first one will report.
% 0.07/0.30 TRYING [4]
% 0.07/0.30 TRYING [4]
% 0.07/0.30 % (9708)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9705"
% 0.07/0.30 % (9708)Refutation found. Thanks to Tanya!
% 0.07/0.30 % SZS status Theorem for theBenchmark
% 0.07/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.31 % (9708)------------------------------
% 0.11/0.31 % (9708)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.31 % (9708)Termination reason: Refutation
% 0.11/0.31
% 0.11/0.31 % (9708)Memory used [KB]: 996
% 0.11/0.31 % (9708)Time elapsed: 0.013 s
% 0.11/0.31 % (9708)Instructions burned: 16 (million)
% 0.11/0.31 % (9705)Success in time 0.035 s
%------------------------------------------------------------------------------