TSTP Solution File: PUZ061+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n029.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 18:11:57 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 34 ( 9 avg)
% Number of connectives : 211 ( 59 ~; 49 |; 84 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 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 : 121 ( 94 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,plain,
$false,
inference(subsumption_resolution,[],[f25,f19]) ).
fof(f19,plain,
~ food(sK1),
inference(resolution,[],[f18,f10]) ).
fof(f10,plain,
~ likes(sK2,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X6] :
( ~ food(X6)
| likes(sK2,X6) )
& ! [X7] :
( eats(sK4,X7)
| ~ eats(sK0,X7) )
& ! [X8,X9] :
( ~ eats(X9,sK3)
| ~ alive(X9)
| likes(X9,X8) )
& food(sK5)
& ! [X10] :
( ~ alive(X10)
| ! [X11] : not_killed_by(X10,X11) )
& alive(sK0)
& ! [X12] :
( ! [X13] :
( ~ eats(X13,X12)
| ~ not_killed_by(X13,X12) )
| food(X12) )
& eats(sK0,sK1)
& ~ likes(sK2,sK1)
& food(sK3) ),
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] :
( ~ food(X6)
| likes(X2,X6) )
& ! [X7] :
( eats(X4,X7)
| ~ eats(X0,X7) )
& ! [X8,X9] :
( ~ eats(X9,X3)
| ~ alive(X9)
| likes(X9,X8) )
& food(X5)
& ! [X10] :
( ~ alive(X10)
| ! [X11] : not_killed_by(X10,X11) )
& alive(X0)
& ! [X12] :
( ! [X13] :
( ~ eats(X13,X12)
| ~ not_killed_by(X13,X12) )
| food(X12) )
& eats(X0,X1)
& ~ likes(X2,X1)
& food(X3) )
=> ( ! [X6] :
( ~ food(X6)
| likes(sK2,X6) )
& ! [X7] :
( eats(sK4,X7)
| ~ eats(sK0,X7) )
& ! [X9,X8] :
( ~ eats(X9,sK3)
| ~ alive(X9)
| likes(X9,X8) )
& food(sK5)
& ! [X10] :
( ~ alive(X10)
| ! [X11] : not_killed_by(X10,X11) )
& alive(sK0)
& ! [X12] :
( ! [X13] :
( ~ eats(X13,X12)
| ~ not_killed_by(X13,X12) )
| food(X12) )
& eats(sK0,sK1)
& ~ likes(sK2,sK1)
& food(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0,X1,X2,X3,X4,X5] :
( ! [X6] :
( ~ food(X6)
| likes(X2,X6) )
& ! [X7] :
( eats(X4,X7)
| ~ eats(X0,X7) )
& ! [X8,X9] :
( ~ eats(X9,X3)
| ~ alive(X9)
| likes(X9,X8) )
& food(X5)
& ! [X10] :
( ~ alive(X10)
| ! [X11] : not_killed_by(X10,X11) )
& alive(X0)
& ! [X12] :
( ! [X13] :
( ~ eats(X13,X12)
| ~ not_killed_by(X13,X12) )
| food(X12) )
& eats(X0,X1)
& ~ likes(X2,X1)
& food(X3) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X3,X4,X5,X0,X2,X1] :
( ! [X7] :
( ~ food(X7)
| likes(X5,X7) )
& ! [X6] :
( eats(X2,X6)
| ~ eats(X3,X6) )
& ! [X13,X12] :
( ~ eats(X12,X0)
| ~ alive(X12)
| likes(X12,X13) )
& food(X1)
& ! [X10] :
( ~ alive(X10)
| ! [X11] : not_killed_by(X10,X11) )
& alive(X3)
& ! [X8] :
( ! [X9] :
( ~ eats(X9,X8)
| ~ not_killed_by(X9,X8) )
| food(X8) )
& eats(X3,X4)
& ~ likes(X5,X4)
& food(X0) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X0,X2,X5,X4,X3,X1] :
( ~ likes(X5,X4)
& ! [X8] :
( ! [X9] :
( ~ eats(X9,X8)
| ~ not_killed_by(X9,X8) )
| food(X8) )
& ! [X13,X12] :
( likes(X12,X13)
| ~ eats(X12,X0)
| ~ alive(X12) )
& ! [X10] :
( ~ alive(X10)
| ! [X11] : not_killed_by(X10,X11) )
& ! [X7] :
( ~ food(X7)
| likes(X5,X7) )
& eats(X3,X4)
& ! [X6] :
( eats(X2,X6)
| ~ eats(X3,X6) )
& food(X0)
& alive(X3)
& food(X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X0,X2,X5,X4,X3,X1] :
( ( ! [X8] :
( ? [X9] :
( not_killed_by(X9,X8)
& eats(X9,X8) )
=> food(X8) )
& ! [X13,X12] :
( ( eats(X12,X0)
& alive(X12) )
=> likes(X12,X13) )
& ! [X10] :
( alive(X10)
=> ! [X11] : not_killed_by(X10,X11) )
& ! [X7] :
( food(X7)
=> likes(X5,X7) )
& eats(X3,X4)
& ! [X6] :
( eats(X3,X6)
=> eats(X2,X6) )
& food(X0)
& alive(X3)
& food(X1) )
=> likes(X5,X4) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X5,X4,X3,X2,X0,X1] :
( ( ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& food(X5)
& eats(X2,X0)
& alive(X2)
& ! [X6] :
( food(X6)
=> likes(X1,X6) )
& ! [X6] :
( ? [X7] :
( not_killed_by(X7,X6)
& eats(X7,X6) )
=> food(X6) )
& ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) )
& ! [X7,X6] :
( ( alive(X7)
& eats(X7,X5) )
=> likes(X7,X6) )
& food(X4) )
=> likes(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X5,X4,X3,X2,X0,X1] :
( ( ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& food(X5)
& eats(X2,X0)
& alive(X2)
& ! [X6] :
( food(X6)
=> likes(X1,X6) )
& ! [X6] :
( ? [X7] :
( not_killed_by(X7,X6)
& eats(X7,X6) )
=> food(X6) )
& ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) )
& ! [X7,X6] :
( ( alive(X7)
& eats(X7,X5) )
=> likes(X7,X6) )
& food(X4) )
=> likes(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f18,plain,
! [X6] :
( likes(sK2,X6)
| ~ food(X6) ),
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
food(sK1),
inference(subsumption_resolution,[],[f22,f13]) ).
fof(f13,plain,
alive(sK0),
inference(cnf_transformation,[],[f8]) ).
fof(f22,plain,
( ~ alive(sK0)
| food(sK1) ),
inference(resolution,[],[f21,f11]) ).
fof(f11,plain,
eats(sK0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f21,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| food(X1)
| ~ alive(X0) ),
inference(resolution,[],[f12,f14]) ).
fof(f14,plain,
! [X10,X11] :
( not_killed_by(X10,X11)
| ~ alive(X10) ),
inference(cnf_transformation,[],[f8]) ).
fof(f12,plain,
! [X12,X13] :
( ~ not_killed_by(X13,X12)
| ~ eats(X13,X12)
| food(X12) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ061+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 10:56:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (17029)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.48 % (17021)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.49 % (17029)First to succeed.
% 0.20/0.49 % (17029)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (17029)------------------------------
% 0.20/0.49 % (17029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (17029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (17029)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (17029)Memory used [KB]: 5373
% 0.20/0.49 % (17029)Time elapsed: 0.068 s
% 0.20/0.49 % (17029)Instructions burned: 2 (million)
% 0.20/0.49 % (17029)------------------------------
% 0.20/0.49 % (17029)------------------------------
% 0.20/0.49 % (17003)Success in time 0.135 s
%------------------------------------------------------------------------------