TSTP Solution File: PUZ031+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ031+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Sun May 5 08:49:40 EDT 2024
% Result : Theorem 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 38
% Syntax : Number of formulae : 173 ( 26 unt; 0 def)
% Number of atoms : 577 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 771 ( 367 ~; 320 |; 40 &)
% ( 14 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 12 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 212 ( 183 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f510,plain,
$false,
inference(avatar_sat_refutation,[],[f157,f168,f199,f207,f300,f328,f345,f364,f369,f436,f502,f509]) ).
fof(f509,plain,
~ spl10_38,
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f507,plain,
( $false
| ~ spl10_38 ),
inference(resolution,[],[f506,f107]) ).
fof(f107,plain,
animal(sK3),
inference(resolution,[],[f78,f96]) ).
fof(f96,plain,
snail(sK3),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
snail(sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f34,f66]) ).
fof(f66,plain,
( ? [X0] : snail(X0)
=> snail(sK3) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0] : snail(X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
? [X1] : snail(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_5_2) ).
fof(f78,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( animal(X0)
| ~ snail(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( snail(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_5_1) ).
fof(f506,plain,
( ~ animal(sK3)
| ~ spl10_38 ),
inference(resolution,[],[f505,f96]) ).
fof(f505,plain,
( ! [X0] :
( ~ snail(X0)
| ~ animal(X0) )
| ~ spl10_38 ),
inference(duplicate_literal_removal,[],[f504]) ).
fof(f504,plain,
( ! [X0] :
( ~ snail(X0)
| ~ animal(X0)
| ~ snail(X0) )
| ~ spl10_38 ),
inference(resolution,[],[f435,f172]) ).
fof(f172,plain,
! [X0] :
( sP8(X0)
| ~ snail(X0) ),
inference(duplicate_literal_removal,[],[f169]) ).
fof(f169,plain,
! [X0] :
( sP8(X0)
| ~ snail(X0)
| ~ snail(X0) ),
inference(resolution,[],[f138,f83]) ).
fof(f83,plain,
! [X0] :
( plant(sK0(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( eats(X0,sK0(X0))
& plant(sK0(X0)) )
| ( ~ snail(X0)
& ~ caterpillar(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f47,f60]) ).
fof(f60,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
=> ( eats(X0,sK0(X0))
& plant(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( eats(X0,X1)
& plant(X1) )
| ( ~ snail(X0)
& ~ caterpillar(X0) ) ),
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] :
( eats(X0,X2)
& plant(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14) ).
fof(f138,plain,
! [X0] :
( ~ plant(sK0(X0))
| sP8(X0)
| ~ snail(X0) ),
inference(resolution,[],[f102,f85]) ).
fof(f85,plain,
! [X0] :
( eats(X0,sK0(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f102,plain,
! [X2,X1] :
( ~ eats(X1,X2)
| ~ plant(X2)
| sP8(X1) ),
inference(cnf_transformation,[],[f102_D]) ).
fof(f102_D,plain,
! [X1] :
( ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) )
<=> ~ sP8(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f435,plain,
( ! [X0] :
( ~ sP8(X0)
| ~ snail(X0)
| ~ animal(X0) )
| ~ spl10_38 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f434,plain,
( spl10_38
<=> ! [X0] :
( ~ animal(X0)
| ~ snail(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_38])]) ).
fof(f502,plain,
( ~ spl10_5
| ~ spl10_7
| ~ spl10_22
| ~ spl10_25 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f500,plain,
( $false
| ~ spl10_5
| ~ spl10_7
| ~ spl10_22
| ~ spl10_25 ),
inference(resolution,[],[f499,f109]) ).
fof(f109,plain,
animal(sK6),
inference(resolution,[],[f80,f99]) ).
fof(f99,plain,
bird(sK6),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
bird(sK6),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f37,f72]) ).
fof(f72,plain,
( ? [X0] : bird(X0)
=> bird(sK6) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] : bird(X0),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
? [X1] : bird(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_2) ).
fof(f80,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( animal(X0)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_1) ).
fof(f499,plain,
( ~ animal(sK6)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_22
| ~ spl10_25 ),
inference(resolution,[],[f497,f99]) ).
fof(f497,plain,
( ! [X0] :
( ~ bird(X0)
| ~ animal(X0) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_22
| ~ spl10_25 ),
inference(duplicate_literal_removal,[],[f496]) ).
fof(f496,plain,
( ! [X0] :
( ~ bird(X0)
| ~ animal(X0)
| ~ animal(X0)
| ~ bird(X0) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_22
| ~ spl10_25 ),
inference(resolution,[],[f453,f439]) ).
fof(f439,plain,
( ! [X0] :
( sP7(X0)
| ~ animal(X0)
| ~ bird(X0) )
| ~ spl10_7
| ~ spl10_22 ),
inference(resolution,[],[f265,f164]) ).
fof(f164,plain,
( ! [X1] :
( sP9(X1)
| sP7(X1) )
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl10_7
<=> ! [X1] :
( sP9(X1)
| sP7(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f265,plain,
( ! [X1] :
( ~ sP9(X1)
| ~ bird(X1)
| ~ animal(X1) )
| ~ spl10_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl10_22
<=> ! [X1] :
( ~ animal(X1)
| ~ bird(X1)
| ~ sP9(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
fof(f453,plain,
( ! [X0] :
( ~ sP7(X0)
| ~ bird(X0)
| ~ animal(X0) )
| ~ spl10_5
| ~ spl10_22
| ~ spl10_25 ),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f448,plain,
( ! [X0] :
( ~ animal(X0)
| ~ bird(X0)
| ~ sP7(X0)
| ~ bird(X0)
| ~ animal(X0) )
| ~ spl10_5
| ~ spl10_22
| ~ spl10_25 ),
inference(resolution,[],[f437,f299]) ).
fof(f299,plain,
( ! [X0] :
( ~ sP8(X0)
| ~ sP7(X0)
| ~ bird(X0)
| ~ animal(X0) )
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl10_25
<=> ! [X0] :
( ~ animal(X0)
| ~ sP7(X0)
| ~ bird(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_25])]) ).
fof(f437,plain,
( ! [X0] :
( sP8(X0)
| ~ animal(X0)
| ~ bird(X0) )
| ~ spl10_5
| ~ spl10_22 ),
inference(resolution,[],[f265,f153]) ).
fof(f153,plain,
( ! [X1] :
( sP9(X1)
| sP8(X1) )
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl10_5
<=> ! [X1] :
( sP9(X1)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f436,plain,
( spl10_22
| spl10_38 ),
inference(avatar_split_clause,[],[f245,f434,f264]) ).
fof(f245,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP8(X0)
| ~ sP9(X1)
| ~ snail(X0)
| ~ bird(X1) ),
inference(duplicate_literal_removal,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP8(X0)
| ~ sP9(X1)
| ~ snail(X0)
| ~ bird(X1)
| ~ snail(X0)
| ~ bird(X1) ),
inference(resolution,[],[f159,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ snail(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X2] :
( ( snail(X2)
& bird(X0) )
=> ~ eats(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
fof(f159,plain,
! [X0,X1] :
( eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP8(X1)
| ~ sP9(X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(resolution,[],[f105,f92]) ).
fof(f92,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ snail(X0)
| ~ bird(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ( ~ caterpillar(X0)
& ~ snail(X0) )
| ~ bird(X1) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ( ~ caterpillar(X0)
& ~ snail(X0) )
| ~ bird(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( ( caterpillar(X0)
| snail(X0) )
& bird(X1) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X2] :
( ( ( caterpillar(X0)
| snail(X0) )
& bird(X2) )
=> much_smaller(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
fof(f105,plain,
! [X0,X1] :
( ~ much_smaller(X1,X0)
| eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP8(X1)
| ~ sP9(X0) ),
inference(general_splitting,[],[f103,f104_D]) ).
fof(f104,plain,
! [X3,X0] :
( eats(X0,X3)
| ~ plant(X3)
| sP9(X0) ),
inference(cnf_transformation,[],[f104_D]) ).
fof(f104_D,plain,
! [X0] :
( ! [X3] :
( eats(X0,X3)
| ~ plant(X3) )
<=> ~ sP9(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f103,plain,
! [X3,X0,X1] :
( eats(X0,X1)
| ~ much_smaller(X1,X0)
| ~ animal(X1)
| eats(X0,X3)
| ~ plant(X3)
| ~ animal(X0)
| ~ sP8(X1) ),
inference(general_splitting,[],[f81,f102_D]) ).
fof(f81,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,[],[f46]) ).
fof(f46,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,[],[f45]) ).
fof(f45,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,[],[f25]) ).
fof(f25,plain,
! [X0] :
( animal(X0)
=> ( ! [X1] :
( ( ? [X2] :
( eats(X1,X2)
& plant(X2) )
& much_smaller(X1,X0)
& animal(X1) )
=> eats(X0,X1) )
| ! [X3] :
( plant(X3)
=> eats(X0,X3) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( animal(X0)
=> ( ! [X3] :
( ( ? [X4] :
( eats(X3,X4)
& plant(X4) )
& much_smaller(X3,X0)
& animal(X3) )
=> eats(X0,X3) )
| ! [X2] :
( plant(X2)
=> eats(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).
fof(f369,plain,
~ spl10_6,
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f368,plain,
( $false
| ~ spl10_6 ),
inference(resolution,[],[f365,f95]) ).
fof(f95,plain,
grain(sK2),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
grain(sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f11,f64]) ).
fof(f64,plain,
( ? [X0] : grain(X0)
=> grain(sK2) ),
introduced(choice_axiom,[]) ).
fof(f11,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_6_1) ).
fof(f365,plain,
( ! [X0] : ~ grain(X0)
| ~ spl10_6 ),
inference(resolution,[],[f156,f75]) ).
fof(f75,plain,
! [X0] :
( plant(X0)
| ~ grain(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,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/sandbox/benchmark/theBenchmark.p',pel47_6_2) ).
fof(f156,plain,
( ! [X0] : ~ plant(X0)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl10_6
<=> ! [X0] : ~ plant(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f364,plain,
( ~ spl10_5
| ~ spl10_24
| ~ spl10_32 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl10_5
| ~ spl10_24
| ~ spl10_32 ),
inference(resolution,[],[f361,f106]) ).
fof(f106,plain,
animal(sK5),
inference(resolution,[],[f77,f98]) ).
fof(f98,plain,
fox(sK5),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
fox(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f36,f70]) ).
fof(f70,plain,
( ? [X0] : fox(X0)
=> fox(sK5) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0] : fox(X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
? [X1] : fox(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_2) ).
fof(f77,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( animal(X0)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( fox(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_1) ).
fof(f361,plain,
( ~ animal(sK5)
| ~ spl10_5
| ~ spl10_24
| ~ spl10_32 ),
inference(resolution,[],[f360,f98]) ).
fof(f360,plain,
( ! [X0] :
( ~ fox(X0)
| ~ animal(X0) )
| ~ spl10_5
| ~ spl10_24
| ~ spl10_32 ),
inference(duplicate_literal_removal,[],[f357]) ).
fof(f357,plain,
( ! [X0] :
( ~ animal(X0)
| ~ fox(X0)
| ~ fox(X0)
| ~ animal(X0) )
| ~ spl10_5
| ~ spl10_24
| ~ spl10_32 ),
inference(resolution,[],[f312,f344]) ).
fof(f344,plain,
( ! [X0] :
( ~ sP8(X0)
| ~ fox(X0)
| ~ animal(X0) )
| ~ spl10_32 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl10_32
<=> ! [X0] :
( ~ animal(X0)
| ~ fox(X0)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_32])]) ).
fof(f312,plain,
( ! [X0] :
( sP8(X0)
| ~ animal(X0)
| ~ fox(X0) )
| ~ spl10_5
| ~ spl10_24 ),
inference(resolution,[],[f296,f153]) ).
fof(f296,plain,
( ! [X1] :
( ~ sP9(X1)
| ~ fox(X1)
| ~ animal(X1) )
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl10_24
<=> ! [X1] :
( ~ animal(X1)
| ~ fox(X1)
| ~ sP9(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).
fof(f345,plain,
( spl10_28
| spl10_32 ),
inference(avatar_split_clause,[],[f260,f343,f315]) ).
fof(f315,plain,
( spl10_28
<=> ! [X1] :
( ~ animal(X1)
| ~ wolf(X1)
| ~ sP9(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).
fof(f260,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP8(X0)
| ~ sP9(X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(duplicate_literal_removal,[],[f258]) ).
fof(f258,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP8(X0)
| ~ sP9(X1)
| ~ wolf(X1)
| ~ fox(X0)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(resolution,[],[f161,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ( ~ grain(X1)
& ~ fox(X1) )
| ~ wolf(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ( ~ grain(X1)
& ~ fox(X1) )
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( ( grain(X1)
| fox(X1) )
& wolf(X0) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X2] :
( ( ( grain(X2)
| fox(X2) )
& wolf(X0) )
=> ~ eats(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
fof(f161,plain,
! [X0,X1] :
( eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP8(X1)
| ~ sP9(X0)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(resolution,[],[f105,f88]) ).
fof(f88,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ wolf(X1)
| ~ fox(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( wolf(X1)
& fox(X0) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X0,X2] :
( ( wolf(X2)
& fox(X0) )
=> much_smaller(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
fof(f328,plain,
( ~ spl10_14
| ~ spl10_28 ),
inference(avatar_contradiction_clause,[],[f327]) ).
fof(f327,plain,
( $false
| ~ spl10_14
| ~ spl10_28 ),
inference(resolution,[],[f326,f94]) ).
fof(f94,plain,
wolf(sK1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
wolf(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f33,f62]) ).
fof(f62,plain,
( ? [X0] : wolf(X0)
=> wolf(sK1) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
? [X0] : wolf(X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
? [X1] : wolf(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_2) ).
fof(f326,plain,
( ~ wolf(sK1)
| ~ spl10_14
| ~ spl10_28 ),
inference(resolution,[],[f325,f76]) ).
fof(f76,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( animal(X0)
| ~ wolf(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( wolf(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_1) ).
fof(f325,plain,
( ~ animal(sK1)
| ~ spl10_14
| ~ spl10_28 ),
inference(resolution,[],[f324,f94]) ).
fof(f324,plain,
( ! [X0] :
( ~ wolf(X0)
| ~ animal(X0) )
| ~ spl10_14
| ~ spl10_28 ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f321,plain,
( ! [X0] :
( ~ wolf(X0)
| ~ animal(X0)
| ~ wolf(X0) )
| ~ spl10_14
| ~ spl10_28 ),
inference(resolution,[],[f316,f198]) ).
fof(f198,plain,
( ! [X1] :
( sP9(X1)
| ~ wolf(X1) )
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl10_14
<=> ! [X1] :
( sP9(X1)
| ~ wolf(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f316,plain,
( ! [X1] :
( ~ sP9(X1)
| ~ wolf(X1)
| ~ animal(X1) )
| ~ spl10_28 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f300,plain,
( spl10_24
| spl10_25 ),
inference(avatar_split_clause,[],[f253,f298,f295]) ).
fof(f253,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP8(X0)
| ~ sP9(X1)
| ~ fox(X1)
| ~ bird(X0)
| ~ sP7(X0) ),
inference(duplicate_literal_removal,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ~ animal(X0)
| ~ animal(X1)
| ~ sP8(X0)
| ~ sP9(X1)
| ~ fox(X1)
| ~ bird(X0)
| ~ animal(X0)
| ~ animal(X1)
| ~ sP7(X0) ),
inference(resolution,[],[f160,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP7(X1) ),
inference(general_splitting,[],[f74,f100_D]) ).
fof(f100,plain,
! [X2,X1] :
( ~ eats(X1,X2)
| ~ grain(X2)
| sP7(X1) ),
inference(cnf_transformation,[],[f100_D]) ).
fof(f100_D,plain,
! [X1] :
( ! [X2] :
( ~ eats(X1,X2)
| ~ grain(X2) )
<=> ~ sP7(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2)
| ~ animal(X1)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( ~ eats(X0,X1)
| ~ eats(X1,X2)
| ~ grain(X2) )
| ~ animal(X1)
| ~ animal(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ? [X0,X1] :
( ? [X2] :
( eats(X0,X1)
& eats(X1,X2)
& grain(X2) )
& animal(X1)
& animal(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ? [X0,X2] :
( ? [X4] :
( eats(X0,X2)
& eats(X2,X4)
& grain(X4) )
& animal(X2)
& animal(X0) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
? [X0,X2] :
( ? [X4] :
( eats(X0,X2)
& eats(X2,X4)
& grain(X4) )
& animal(X2)
& animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
fof(f160,plain,
! [X0,X1] :
( eats(X0,X1)
| ~ animal(X1)
| ~ animal(X0)
| ~ sP8(X1)
| ~ sP9(X0)
| ~ fox(X0)
| ~ bird(X1) ),
inference(resolution,[],[f105,f90]) ).
fof(f90,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ fox(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( fox(X1)
& bird(X0) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X2] :
( ( fox(X2)
& bird(X0) )
=> much_smaller(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
fof(f207,plain,
~ spl10_8,
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f206,plain,
( $false
| ~ spl10_8 ),
inference(resolution,[],[f201,f95]) ).
fof(f201,plain,
( ~ grain(sK2)
| ~ spl10_8 ),
inference(resolution,[],[f200,f75]) ).
fof(f200,plain,
( ~ plant(sK2)
| ~ spl10_8 ),
inference(resolution,[],[f167,f95]) ).
fof(f167,plain,
( ! [X0] :
( ~ grain(X0)
| ~ plant(X0) )
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl10_8
<=> ! [X0] :
( ~ plant(X0)
| ~ grain(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f199,plain,
( spl10_14
| spl10_8 ),
inference(avatar_split_clause,[],[f143,f166,f197]) ).
fof(f143,plain,
! [X0,X1] :
( ~ plant(X0)
| sP9(X1)
| ~ grain(X0)
| ~ wolf(X1) ),
inference(resolution,[],[f104,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ grain(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f168,plain,
( spl10_7
| spl10_8 ),
inference(avatar_split_clause,[],[f145,f166,f163]) ).
fof(f145,plain,
! [X0,X1] :
( ~ plant(X0)
| sP9(X1)
| ~ grain(X0)
| sP7(X1) ),
inference(resolution,[],[f104,f100]) ).
fof(f157,plain,
( spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f146,f155,f152]) ).
fof(f146,plain,
! [X0,X1] :
( ~ plant(X0)
| sP9(X1)
| sP8(X1) ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ plant(X0)
| sP9(X1)
| ~ plant(X0)
| sP8(X1) ),
inference(resolution,[],[f104,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ031+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:03:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (827)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (830)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)
% 0.15/0.37 % (830)First to succeed.
% 0.15/0.37 % (830)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-827"
% 0.15/0.37 % (830)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Theorem for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (830)------------------------------
% 0.15/0.37 % (830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (830)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (830)Memory used [KB]: 979
% 0.15/0.37 % (830)Time elapsed: 0.006 s
% 0.15/0.37 % (830)Instructions burned: 15 (million)
% 0.15/0.37 % (827)Success in time 0.016 s
%------------------------------------------------------------------------------