TSTP Solution File: PUZ061+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ061+1 : TPTP v8.1.2. Released v3.1.0.
% 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 08:49:54 EDT 2024
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 34 ( 8 avg)
% Number of connectives : 182 ( 48 ~; 40 |; 75 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 107 ( 86 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,plain,
$false,
inference(subsumption_resolution,[],[f24,f17]) ).
fof(f17,plain,
~ likes(sK1,sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
( ~ likes(sK1,sK0)
& ! [X6] :
( ! [X7] : not_killed_by(X6,X7)
| ~ alive(X6) )
& ! [X8] :
( eats(sK3,X8)
| ~ eats(sK2,X8) )
& alive(sK2)
& eats(sK2,sK0)
& ! [X9] :
( food(X9)
| ! [X10] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9) ) )
& food(sK5)
& food(sK4)
& ! [X11] :
( likes(sK1,X11)
| ~ food(X11) )
& ! [X12,X13] :
( likes(X13,X12)
| ~ eats(X13,sK5)
| ~ alive(X13) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f5,f6]) ).
fof(f6,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ likes(X1,X0)
& ! [X6] :
( ! [X7] : not_killed_by(X6,X7)
| ~ alive(X6) )
& ! [X8] :
( eats(X3,X8)
| ~ eats(X2,X8) )
& alive(X2)
& eats(X2,X0)
& ! [X9] :
( food(X9)
| ! [X10] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9) ) )
& food(X5)
& food(X4)
& ! [X11] :
( likes(X1,X11)
| ~ food(X11) )
& ! [X12,X13] :
( likes(X13,X12)
| ~ eats(X13,X5)
| ~ alive(X13) ) )
=> ( ~ likes(sK1,sK0)
& ! [X6] :
( ! [X7] : not_killed_by(X6,X7)
| ~ alive(X6) )
& ! [X8] :
( eats(sK3,X8)
| ~ eats(sK2,X8) )
& alive(sK2)
& eats(sK2,sK0)
& ! [X9] :
( food(X9)
| ! [X10] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9) ) )
& food(sK5)
& food(sK4)
& ! [X11] :
( likes(sK1,X11)
| ~ food(X11) )
& ! [X13,X12] :
( likes(X13,X12)
| ~ eats(X13,sK5)
| ~ alive(X13) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ likes(X1,X0)
& ! [X6] :
( ! [X7] : not_killed_by(X6,X7)
| ~ alive(X6) )
& ! [X8] :
( eats(X3,X8)
| ~ eats(X2,X8) )
& alive(X2)
& eats(X2,X0)
& ! [X9] :
( food(X9)
| ! [X10] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9) ) )
& food(X5)
& food(X4)
& ! [X11] :
( likes(X1,X11)
| ~ food(X11) )
& ! [X12,X13] :
( likes(X13,X12)
| ~ eats(X13,X5)
| ~ alive(X13) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ likes(X1,X0)
& ! [X6] :
( ! [X7] : not_killed_by(X6,X7)
| ~ alive(X6) )
& ! [X8] :
( eats(X3,X8)
| ~ eats(X2,X8) )
& alive(X2)
& eats(X2,X0)
& ! [X9] :
( food(X9)
| ! [X10] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9) ) )
& food(X5)
& food(X4)
& ! [X11] :
( likes(X1,X11)
| ~ food(X11) )
& ! [X12,X13] :
( likes(X13,X12)
| ~ eats(X13,X5)
| ~ alive(X13) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6] :
( alive(X6)
=> ! [X7] : not_killed_by(X6,X7) )
& ! [X8] :
( eats(X2,X8)
=> eats(X3,X8) )
& alive(X2)
& eats(X2,X0)
& ! [X9] :
( ? [X10] :
( not_killed_by(X10,X9)
& eats(X10,X9) )
=> food(X9) )
& food(X5)
& food(X4)
& ! [X11] :
( food(X11)
=> likes(X1,X11) )
& ! [X12,X13] :
( ( eats(X13,X5)
& alive(X13) )
=> likes(X13,X12) ) )
=> likes(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) )
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& alive(X2)
& eats(X2,X0)
& ! [X6] :
( ? [X7] :
( not_killed_by(X7,X6)
& eats(X7,X6) )
=> food(X6) )
& food(X5)
& food(X4)
& ! [X6] :
( food(X6)
=> likes(X1,X6) )
& ! [X6,X7] :
( ( eats(X7,X5)
& alive(X7) )
=> likes(X7,X6) ) )
=> likes(X1,X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) )
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& alive(X2)
& eats(X2,X0)
& ! [X6] :
( ? [X7] :
( not_killed_by(X7,X6)
& eats(X7,X6) )
=> food(X6) )
& food(X5)
& food(X4)
& ! [X6] :
( food(X6)
=> likes(X1,X6) )
& ! [X6,X7] :
( ( eats(X7,X5)
& alive(X7) )
=> likes(X7,X6) ) )
=> likes(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f24,plain,
likes(sK1,sK0),
inference(resolution,[],[f23,f9]) ).
fof(f9,plain,
! [X11] :
( ~ food(X11)
| likes(sK1,X11) ),
inference(cnf_transformation,[],[f7]) ).
fof(f23,plain,
food(sK0),
inference(resolution,[],[f22,f13]) ).
fof(f13,plain,
eats(sK2,sK0),
inference(cnf_transformation,[],[f7]) ).
fof(f22,plain,
! [X0] :
( ~ eats(sK2,X0)
| food(X0) ),
inference(resolution,[],[f12,f20]) ).
fof(f20,plain,
! [X0] : not_killed_by(sK2,X0),
inference(resolution,[],[f16,f14]) ).
fof(f14,plain,
alive(sK2),
inference(cnf_transformation,[],[f7]) ).
fof(f16,plain,
! [X6,X7] :
( ~ alive(X6)
| not_killed_by(X6,X7) ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
! [X10,X9] :
( ~ not_killed_by(X10,X9)
| food(X9)
| ~ eats(X10,X9) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ061+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 18:01:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (24669)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (24677)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (24675)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (24672)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (24671)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (24676)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (24678)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (24674)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)
% 0.22/0.38 Detected minimum model sizes of [1]
% 0.22/0.38 Detected maximum model sizes of [6]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 Detected minimum model sizes of [1,1]
% 0.22/0.38 Detected minimum model sizes of [1,1]
% 0.22/0.38 Detected maximum model sizes of [3,3]
% 0.22/0.38 Detected maximum model sizes of [3,3]
% 0.22/0.38 Detected minimum model sizes of [1]
% 0.22/0.38 Detected maximum model sizes of [6]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 % (24671)Also succeeded, but the first one will report.
% 0.22/0.38 % (24676)First to succeed.
% 0.22/0.38 TRYING [2,2]
% 0.22/0.38 TRYING [2,2]
% 0.22/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.22/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.22/0.38 TRYING [3]
% 0.22/0.38 % (24672)Refutation not found, incomplete strategy% (24672)------------------------------
% 0.22/0.38 % (24672)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (24675)Refutation not found, incomplete strategy% (24675)------------------------------
% 0.22/0.38 % (24675)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (24672)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38 % (24675)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38 % (24672)Memory used [KB]: 729
% 0.22/0.38 % (24675)Memory used [KB]: 730
% 0.22/0.38 % (24672)Time elapsed: 0.003 s
% 0.22/0.38 % (24675)Time elapsed: 0.003 s
% 0.22/0.38 % (24672)Instructions burned: 3 (million)
% 0.22/0.38 % (24675)Instructions burned: 3 (million)
% 0.22/0.38 % (24677)Also succeeded, but the first one will report.
% 0.22/0.38 % (24674)Also succeeded, but the first one will report.
% 0.22/0.38 % (24678)Also succeeded, but the first one will report.
% 0.22/0.38 % (24672)------------------------------
% 0.22/0.38 % (24672)------------------------------
% 0.22/0.38 % (24675)------------------------------
% 0.22/0.38 % (24675)------------------------------
% 0.22/0.38 % (24676)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24669"
% 0.22/0.38 % (24676)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (24676)------------------------------
% 0.22/0.38 % (24676)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (24676)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (24676)Memory used [KB]: 735
% 0.22/0.38 % (24676)Time elapsed: 0.004 s
% 0.22/0.38 % (24676)Instructions burned: 3 (million)
% 0.22/0.38 % (24669)Success in time 0.019 s
%------------------------------------------------------------------------------