TSTP Solution File: PUZ060+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ060+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 : n010.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 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 173 ( 48 ~; 37 |; 72 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 103 ( 76 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,plain,
$false,
inference(subsumption_resolution,[],[f30,f10]) ).
fof(f10,plain,
alive(sK3),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X6] :
( likes(sK4,X6)
| ~ food(X6) )
& ! [X7] :
( food(X7)
| ! [X8] :
( ~ eats(X8,X7)
| ~ not_killed_by(X8,X7) ) )
& food(sK5)
& ~ likes(sK4,sK0)
& ! [X9] :
( eats(sK1,X9)
| ~ eats(sK3,X9) )
& food(sK2)
& ! [X10] :
( ! [X11] : not_killed_by(X10,X11)
| ~ alive(X10) )
& alive(sK3)
& eats(sK3,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f6,f7]) ).
fof(f7,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ! [X6] :
( likes(X4,X6)
| ~ food(X6) )
& ! [X7] :
( food(X7)
| ! [X8] :
( ~ eats(X8,X7)
| ~ not_killed_by(X8,X7) ) )
& food(X5)
& ~ likes(X4,X0)
& ! [X9] :
( eats(X1,X9)
| ~ eats(X3,X9) )
& food(X2)
& ! [X10] :
( ! [X11] : not_killed_by(X10,X11)
| ~ alive(X10) )
& alive(X3)
& eats(X3,X0) )
=> ( ! [X6] :
( likes(sK4,X6)
| ~ food(X6) )
& ! [X7] :
( food(X7)
| ! [X8] :
( ~ eats(X8,X7)
| ~ not_killed_by(X8,X7) ) )
& food(sK5)
& ~ likes(sK4,sK0)
& ! [X9] :
( eats(sK1,X9)
| ~ eats(sK3,X9) )
& food(sK2)
& ! [X10] :
( ! [X11] : not_killed_by(X10,X11)
| ~ alive(X10) )
& alive(sK3)
& eats(sK3,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0,X1,X2,X3,X4,X5] :
( ! [X6] :
( likes(X4,X6)
| ~ food(X6) )
& ! [X7] :
( food(X7)
| ! [X8] :
( ~ eats(X8,X7)
| ~ not_killed_by(X8,X7) ) )
& food(X5)
& ~ likes(X4,X0)
& ! [X9] :
( eats(X1,X9)
| ~ eats(X3,X9) )
& food(X2)
& ! [X10] :
( ! [X11] : not_killed_by(X10,X11)
| ~ alive(X10) )
& alive(X3)
& eats(X3,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X1,X5,X0,X2,X3,X4] :
( ! [X6] :
( likes(X3,X6)
| ~ food(X6) )
& ! [X10] :
( food(X10)
| ! [X11] :
( ~ eats(X11,X10)
| ~ not_killed_by(X11,X10) ) )
& food(X4)
& ~ likes(X3,X1)
& ! [X7] :
( eats(X5,X7)
| ~ eats(X2,X7) )
& food(X0)
& ! [X8] :
( ! [X9] : not_killed_by(X8,X9)
| ~ alive(X8) )
& alive(X2)
& eats(X2,X1) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X2,X1,X4,X5,X0,X3] :
( ~ likes(X3,X1)
& ! [X7] :
( eats(X5,X7)
| ~ eats(X2,X7) )
& ! [X6] :
( likes(X3,X6)
| ~ food(X6) )
& ! [X8] :
( ! [X9] : not_killed_by(X8,X9)
| ~ alive(X8) )
& food(X0)
& food(X4)
& ! [X10] :
( food(X10)
| ! [X11] :
( ~ eats(X11,X10)
| ~ not_killed_by(X11,X10) ) )
& eats(X2,X1)
& alive(X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X2,X1,X4,X5,X0,X3] :
( ( ! [X7] :
( eats(X2,X7)
=> eats(X5,X7) )
& ! [X6] :
( food(X6)
=> likes(X3,X6) )
& ! [X8] :
( alive(X8)
=> ! [X9] : not_killed_by(X8,X9) )
& food(X0)
& food(X4)
& ! [X10] :
( ? [X11] :
( not_killed_by(X11,X10)
& eats(X11,X10) )
=> food(X10) )
& eats(X2,X1)
& alive(X2) )
=> likes(X3,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X4,X0,X2,X1,X5,X3] :
( ( ! [X6] :
( food(X6)
=> likes(X1,X6) )
& food(X4)
& alive(X2)
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& food(X5)
& ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) )
& ! [X6] :
( ? [X7] :
( eats(X7,X6)
& not_killed_by(X7,X6) )
=> food(X6) )
& eats(X2,X0) )
=> likes(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X4,X0,X2,X1,X5,X3] :
( ( ! [X6] :
( food(X6)
=> likes(X1,X6) )
& food(X4)
& alive(X2)
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& food(X5)
& ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) )
& ! [X6] :
( ? [X7] :
( eats(X7,X6)
& not_killed_by(X7,X6) )
=> food(X6) )
& eats(X2,X0) )
=> likes(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f30,plain,
~ alive(sK3),
inference(subsumption_resolution,[],[f20,f18]) ).
fof(f18,plain,
~ food(sK0),
inference(resolution,[],[f17,f14]) ).
fof(f14,plain,
~ likes(sK4,sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f17,plain,
! [X6] :
( likes(sK4,X6)
| ~ food(X6) ),
inference(cnf_transformation,[],[f8]) ).
fof(f20,plain,
( food(sK0)
| ~ alive(sK3) ),
inference(resolution,[],[f19,f9]) ).
fof(f9,plain,
eats(sK3,sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f19,plain,
! [X0,X1] :
( ~ eats(X1,X0)
| ~ alive(X1)
| food(X0) ),
inference(resolution,[],[f16,f11]) ).
fof(f11,plain,
! [X10,X11] :
( not_killed_by(X10,X11)
| ~ alive(X10) ),
inference(cnf_transformation,[],[f8]) ).
fof(f16,plain,
! [X8,X7] :
( ~ not_killed_by(X8,X7)
| food(X7)
| ~ eats(X8,X7) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : PUZ060+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.12 % 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 : n010.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 10:38:14 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.48 % (17959)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.17/0.48 % (17982)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.17/0.48 % (17959)First to succeed.
% 0.17/0.48 % (17970)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)
% 0.17/0.48 % (17974)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.49 % (17982)Also succeeded, but the first one will report.
% 0.17/0.49 % (17959)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (17959)------------------------------
% 0.17/0.49 % (17959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (17959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (17959)Termination reason: Refutation
% 0.17/0.49
% 0.17/0.49 % (17959)Memory used [KB]: 5884
% 0.17/0.49 % (17959)Time elapsed: 0.093 s
% 0.17/0.49 % (17959)Instructions burned: 1 (million)
% 0.17/0.49 % (17959)------------------------------
% 0.17/0.49 % (17959)------------------------------
% 0.17/0.49 % (17958)Success in time 0.158 s
%------------------------------------------------------------------------------