TSTP Solution File: PUZ031+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --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 18:10:46 EDT 2022
% Result : Theorem 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 109 ( 36 unt; 0 def)
% Number of atoms : 275 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 284 ( 118 ~; 98 |; 34 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 146 ( 119 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f168,plain,
$false,
inference(subsumption_resolution,[],[f167,f163]) ).
fof(f163,plain,
~ eats(sK9,sK5),
inference(unit_resulting_resolution,[],[f129,f104,f125,f148,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ eats(X2,X0)
| ~ animal(X2)
| ~ grain(X0)
| ~ eats(X1,X2)
| ~ animal(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ animal(X1)
| ~ animal(X2)
| ~ grain(X0)
| ~ eats(X2,X0)
| ~ eats(X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X2,X0] :
( ~ animal(X2)
| ~ animal(X0)
| ~ grain(X1)
| ~ eats(X0,X1)
| ~ eats(X2,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ? [X0,X1,X2] :
( eats(X0,X1)
& animal(X2)
& eats(X2,X0)
& animal(X0)
& grain(X1) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ? [X2,X4,X1] :
( grain(X4)
& eats(X1,X2)
& eats(X2,X4)
& animal(X1)
& animal(X2) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
? [X2,X4,X1] :
( grain(X4)
& eats(X1,X2)
& eats(X2,X4)
& animal(X1)
& animal(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
fof(f148,plain,
eats(sK5,sK4),
inference(unit_resulting_resolution,[],[f127,f125,f130,f132,f134,f137,f138,f112]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( ~ much_smaller(X2,X0)
| ~ eats(X2,X3)
| eats(X0,X2)
| eats(X0,X1)
| ~ plant(X3)
| ~ plant(X1)
| ~ animal(X2)
| ~ animal(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ~ animal(X0)
| ! [X1] :
( ~ plant(X1)
| eats(X0,X1) )
| ! [X2] :
( ~ animal(X2)
| eats(X0,X2)
| ~ much_smaller(X2,X0)
| ! [X3] :
( ~ eats(X2,X3)
| ~ plant(X3) ) ) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ~ animal(X0)
| ! [X3] :
( ~ plant(X3)
| eats(X0,X3) )
| ! [X1] :
( ~ animal(X1)
| eats(X0,X1)
| ~ much_smaller(X1,X0)
| ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) ) ) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( eats(X0,X1)
| ! [X2] :
( ~ eats(X1,X2)
| ~ plant(X2) )
| ~ much_smaller(X1,X0)
| ~ animal(X1) )
| ! [X3] :
( ~ plant(X3)
| eats(X0,X3) )
| ~ animal(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( animal(X0)
=> ( ! [X1] :
( animal(X1)
=> ( ( ? [X2] :
( plant(X2)
& eats(X1,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(f138,plain,
much_smaller(sK7,sK5),
inference(unit_resulting_resolution,[],[f105,f115,f110]) ).
fof(f110,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ bird(X0)
| ~ snail(X1) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ snail(X1)
| ~ bird(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( snail(X1)
& bird(X0) )
=> much_smaller(X1,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X2,X1] :
( ( bird(X2)
& snail(X1) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
fof(f115,plain,
snail(sK7),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
snail(sK7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f12,f89]) ).
fof(f89,plain,
( ? [X0] : snail(X0)
=> snail(sK7) ),
introduced(choice_axiom,[]) ).
fof(f12,axiom,
? [X0] : snail(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).
fof(f105,plain,
bird(sK5),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
bird(sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f8,f82]) ).
fof(f82,plain,
( ? [X0] : bird(X0)
=> bird(sK5) ),
introduced(choice_axiom,[]) ).
fof(f8,axiom,
? [X0] : bird(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).
fof(f137,plain,
~ eats(sK5,sK7),
inference(unit_resulting_resolution,[],[f115,f105,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ bird(X0)
| ~ eats(X0,X1)
| ~ snail(X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ eats(X0,X1)
| ~ bird(X0)
| ~ snail(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ( bird(X0)
& snail(X1) )
=> ~ eats(X0,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X1,X2] :
( ( bird(X1)
& snail(X2) )
=> ~ eats(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
fof(f134,plain,
eats(sK7,sK8(sK7)),
inference(unit_resulting_resolution,[],[f115,f118]) ).
fof(f118,plain,
! [X0] :
( eats(X0,sK8(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ snail(X0)
| ( plant(sK8(X0))
& eats(X0,sK8(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f61,f92]) ).
fof(f92,plain,
! [X0] :
( ? [X1] :
( plant(X1)
& eats(X0,X1) )
=> ( plant(sK8(X0))
& eats(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0] :
( ~ snail(X0)
| ? [X1] :
( plant(X1)
& eats(X0,X1) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( snail(X0)
=> ? [X1] :
( plant(X1)
& eats(X0,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(f132,plain,
plant(sK8(sK7)),
inference(unit_resulting_resolution,[],[f115,f119]) ).
fof(f119,plain,
! [X0] :
( plant(sK8(X0))
| ~ snail(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f130,plain,
animal(sK7),
inference(unit_resulting_resolution,[],[f115,f123]) ).
fof(f123,plain,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,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(f127,plain,
plant(sK4),
inference(unit_resulting_resolution,[],[f104,f111]) ).
fof(f111,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( grain(X0)
=> plant(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_plant) ).
fof(f125,plain,
animal(sK5),
inference(unit_resulting_resolution,[],[f105,f97]) ).
fof(f97,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( bird(X0)
=> animal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_animal) ).
fof(f104,plain,
grain(sK4),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
grain(sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f16,f80]) ).
fof(f80,plain,
( ? [X0] : grain(X0)
=> grain(sK4) ),
introduced(choice_axiom,[]) ).
fof(f16,axiom,
? [X0] : grain(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).
fof(f129,plain,
animal(sK9),
inference(unit_resulting_resolution,[],[f121,f120]) ).
fof(f120,plain,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,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(f121,plain,
fox(sK9),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
fox(sK9),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f6,f94]) ).
fof(f94,plain,
( ? [X0] : fox(X0)
=> fox(sK9) ),
introduced(choice_axiom,[]) ).
fof(f6,axiom,
? [X0] : fox(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).
fof(f167,plain,
eats(sK9,sK5),
inference(unit_resulting_resolution,[],[f129,f125,f99,f127,f148,f135,f152,f112]) ).
fof(f152,plain,
~ eats(sK9,sK1),
inference(unit_resulting_resolution,[],[f99,f128,f129,f127,f140,f136,f139,f112]) ).
fof(f139,plain,
much_smaller(sK9,sK2),
inference(unit_resulting_resolution,[],[f100,f121,f113]) ).
fof(f113,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( much_smaller(X1,X0)
| ~ fox(X1)
| ~ wolf(X0) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( much_smaller(X0,X1)
| ~ fox(X0)
| ~ wolf(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( ( fox(X0)
& wolf(X1) )
=> much_smaller(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X1,X2] :
( ( fox(X1)
& wolf(X2) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
fof(f100,plain,
wolf(sK2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
wolf(sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f4,f75]) ).
fof(f75,plain,
( ? [X0] : wolf(X0)
=> wolf(sK2) ),
introduced(choice_axiom,[]) ).
fof(f4,axiom,
? [X0] : wolf(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).
fof(f136,plain,
~ eats(sK2,sK9),
inference(unit_resulting_resolution,[],[f121,f100,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ fox(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( wolf(X0)
& fox(X1) )
=> ~ 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(f140,plain,
~ eats(sK2,sK4),
inference(unit_resulting_resolution,[],[f104,f100,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ wolf(X1)
| ~ grain(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ wolf(X1)
| ~ grain(X0)
| ~ eats(X1,X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ~ wolf(X0)
| ~ grain(X1)
| ~ eats(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| ~ wolf(X0)
| ~ grain(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( wolf(X0)
& grain(X1) )
=> ~ 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(f128,plain,
animal(sK2),
inference(unit_resulting_resolution,[],[f100,f117]) ).
fof(f117,plain,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,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(f135,plain,
much_smaller(sK5,sK9),
inference(unit_resulting_resolution,[],[f121,f105,f103]) ).
fof(f103,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( much_smaller(X0,X1)
| ~ bird(X0)
| ~ fox(X1) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( much_smaller(X1,X0)
| ~ bird(X1)
| ~ fox(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( much_smaller(X1,X0)
| ~ fox(X0)
| ~ bird(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ( fox(X0)
& bird(X1) )
=> much_smaller(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X2,X1] :
( ( fox(X2)
& bird(X1) )
=> much_smaller(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
fof(f99,plain,
plant(sK1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
plant(sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f14,f73]) ).
fof(f73,plain,
( ? [X0] : plant(X0)
=> plant(sK1) ),
introduced(choice_axiom,[]) ).
fof(f14,axiom,
? [X0] : plant(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plant_type) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ031+3 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 10:54:36 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.45 % (8317)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.17/0.45 % (8301)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.45 % (8301)First to succeed.
% 0.17/0.46 % (8301)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Theorem for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (8301)------------------------------
% 0.17/0.46 % (8301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.46 % (8301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.46 % (8301)Termination reason: Refutation
% 0.17/0.46
% 0.17/0.46 % (8301)Memory used [KB]: 6012
% 0.17/0.46 % (8301)Time elapsed: 0.069 s
% 0.17/0.46 % (8301)Instructions burned: 4 (million)
% 0.17/0.46 % (8301)------------------------------
% 0.17/0.46 % (8301)------------------------------
% 0.17/0.46 % (8286)Success in time 0.129 s
%------------------------------------------------------------------------------