TSTP Solution File: PUZ061+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ061+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n002.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 18:10:59 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 34 ( 6 avg)
% Number of connectives : 223 ( 64 ~; 54 |; 84 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 121 ( 94 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f51,f53]) ).
fof(f53,plain,
~ spl6_4,
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f52,plain,
( $false
| ~ spl6_4 ),
inference(resolution,[],[f38,f19]) ).
fof(f19,plain,
~ food(sK4),
inference(resolution,[],[f15,f10]) ).
fof(f10,plain,
~ likes(sK3,sK4),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( eats(sK1,sK4)
& alive(sK1)
& ! [X6,X7] :
( likes(X6,X7)
| ~ alive(X6)
| ~ eats(X6,sK2) )
& ! [X8] :
( ~ food(X8)
| likes(sK3,X8) )
& ! [X9] :
( eats(sK0,X9)
| ~ eats(sK1,X9) )
& food(sK2)
& ! [X10] :
( ! [X11] :
( ~ eats(X11,X10)
| ~ not_killed_by(X11,X10) )
| food(X10) )
& ! [X12] :
( ~ alive(X12)
| ! [X13] : not_killed_by(X12,X13) )
& ~ likes(sK3,sK4)
& food(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f6,f7]) ).
fof(f7,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( eats(X1,X4)
& alive(X1)
& ! [X6,X7] :
( likes(X6,X7)
| ~ alive(X6)
| ~ eats(X6,X2) )
& ! [X8] :
( ~ food(X8)
| likes(X3,X8) )
& ! [X9] :
( eats(X0,X9)
| ~ eats(X1,X9) )
& food(X2)
& ! [X10] :
( ! [X11] :
( ~ eats(X11,X10)
| ~ not_killed_by(X11,X10) )
| food(X10) )
& ! [X12] :
( ~ alive(X12)
| ! [X13] : not_killed_by(X12,X13) )
& ~ likes(X3,X4)
& food(X5) )
=> ( eats(sK1,sK4)
& alive(sK1)
& ! [X7,X6] :
( likes(X6,X7)
| ~ alive(X6)
| ~ eats(X6,sK2) )
& ! [X8] :
( ~ food(X8)
| likes(sK3,X8) )
& ! [X9] :
( eats(sK0,X9)
| ~ eats(sK1,X9) )
& food(sK2)
& ! [X10] :
( ! [X11] :
( ~ eats(X11,X10)
| ~ not_killed_by(X11,X10) )
| food(X10) )
& ! [X12] :
( ~ alive(X12)
| ! [X13] : not_killed_by(X12,X13) )
& ~ likes(sK3,sK4)
& food(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0,X1,X2,X3,X4,X5] :
( eats(X1,X4)
& alive(X1)
& ! [X6,X7] :
( likes(X6,X7)
| ~ alive(X6)
| ~ eats(X6,X2) )
& ! [X8] :
( ~ food(X8)
| likes(X3,X8) )
& ! [X9] :
( eats(X0,X9)
| ~ eats(X1,X9) )
& food(X2)
& ! [X10] :
( ! [X11] :
( ~ eats(X11,X10)
| ~ not_killed_by(X11,X10) )
| food(X10) )
& ! [X12] :
( ~ alive(X12)
| ! [X13] : not_killed_by(X12,X13) )
& ~ likes(X3,X4)
& food(X5) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X1,X0,X4,X5,X3,X2] :
( eats(X0,X3)
& alive(X0)
& ! [X13,X12] :
( likes(X13,X12)
| ~ alive(X13)
| ~ eats(X13,X4) )
& ! [X6] :
( ~ food(X6)
| likes(X5,X6) )
& ! [X7] :
( eats(X1,X7)
| ~ eats(X0,X7) )
& food(X4)
& ! [X10] :
( ! [X11] :
( ~ eats(X11,X10)
| ~ not_killed_by(X11,X10) )
| food(X10) )
& ! [X8] :
( ~ alive(X8)
| ! [X9] : not_killed_by(X8,X9) )
& ~ likes(X5,X3)
& food(X2) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X5,X1,X4,X2,X0,X3] :
( ~ likes(X5,X3)
& ! [X7] :
( eats(X1,X7)
| ~ eats(X0,X7) )
& ! [X8] :
( ~ alive(X8)
| ! [X9] : not_killed_by(X8,X9) )
& ! [X6] :
( ~ food(X6)
| likes(X5,X6) )
& food(X4)
& food(X2)
& ! [X10] :
( ! [X11] :
( ~ eats(X11,X10)
| ~ not_killed_by(X11,X10) )
| food(X10) )
& alive(X0)
& ! [X13,X12] :
( likes(X13,X12)
| ~ eats(X13,X4)
| ~ alive(X13) )
& eats(X0,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X5,X1,X4,X2,X0,X3] :
( ( ! [X7] :
( eats(X0,X7)
=> eats(X1,X7) )
& ! [X8] :
( alive(X8)
=> ! [X9] : not_killed_by(X8,X9) )
& ! [X6] :
( food(X6)
=> likes(X5,X6) )
& food(X4)
& food(X2)
& ! [X10] :
( ? [X11] :
( not_killed_by(X11,X10)
& eats(X11,X10) )
=> food(X10) )
& alive(X0)
& ! [X13,X12] :
( ( eats(X13,X4)
& alive(X13) )
=> likes(X13,X12) )
& eats(X0,X3) )
=> likes(X5,X3) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X2,X3,X4,X0,X5,X1] :
( ( ! [X6] :
( food(X6)
=> likes(X1,X6) )
& alive(X2)
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& eats(X2,X0)
& food(X4)
& ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) )
& food(X5)
& ! [X6] :
( ? [X7] :
( not_killed_by(X7,X6)
& eats(X7,X6) )
=> food(X6) )
& ! [X6,X7] :
( ( alive(X7)
& eats(X7,X5) )
=> likes(X7,X6) ) )
=> likes(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X2,X3,X4,X0,X5,X1] :
( ( ! [X6] :
( food(X6)
=> likes(X1,X6) )
& alive(X2)
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& eats(X2,X0)
& food(X4)
& ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) )
& food(X5)
& ! [X6] :
( ? [X7] :
( not_killed_by(X7,X6)
& eats(X7,X6) )
=> food(X6) )
& ! [X6,X7] :
( ( alive(X7)
& eats(X7,X5) )
=> likes(X7,X6) ) )
=> likes(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f15,plain,
! [X8] :
( likes(sK3,X8)
| ~ food(X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
( food(sK4)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl6_4
<=> food(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f51,plain,
spl6_3,
inference(avatar_contradiction_clause,[],[f50]) ).
fof(f50,plain,
( $false
| spl6_3 ),
inference(resolution,[],[f34,f17]) ).
fof(f17,plain,
alive(sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f34,plain,
( ~ alive(sK1)
| spl6_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl6_3
<=> alive(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f39,plain,
( ~ spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f21,f36,f32]) ).
fof(f21,plain,
( food(sK4)
| ~ alive(sK1) ),
inference(resolution,[],[f20,f18]) ).
fof(f18,plain,
eats(sK1,sK4),
inference(cnf_transformation,[],[f8]) ).
fof(f20,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| food(X1)
| ~ alive(X0) ),
inference(resolution,[],[f12,f11]) ).
fof(f11,plain,
! [X12,X13] :
( not_killed_by(X12,X13)
| ~ alive(X12) ),
inference(cnf_transformation,[],[f8]) ).
fof(f12,plain,
! [X10,X11] :
( ~ not_killed_by(X11,X10)
| ~ eats(X11,X10)
| food(X10) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ061+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 10:58:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (21537)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.50 % (21529)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (21537)First to succeed.
% 0.20/0.50 % (21537)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (21537)------------------------------
% 0.20/0.50 % (21537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (21537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (21537)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (21537)Memory used [KB]: 5884
% 0.20/0.50 % (21537)Time elapsed: 0.086 s
% 0.20/0.50 % (21537)Instructions burned: 2 (million)
% 0.20/0.50 % (21537)------------------------------
% 0.20/0.50 % (21537)------------------------------
% 0.20/0.50 % (21517)Success in time 0.153 s
%------------------------------------------------------------------------------