TSTP Solution File: NLP267_4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NLP267_4 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Tue May 21 01:05:46 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 4 unt; 7 typ; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 50 ( 22 ~; 16 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 29 ( 29 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 14 !; 2 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_6,type,
sK0: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
price: ( '$ki_world' * $i ) > $o ).
tff(pred_def_3,type,
dest: ( '$ki_world' * $i ) > $o ).
tff(pred_def_4,type,
class: ( '$ki_world' * $i ) > $o ).
tff(f48,plain,
$false,
inference(subsumption_resolution,[],[f46,f27]) ).
tff(f27,plain,
~ price(sK0,seventy),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
( ~ price(sK0,seventy)
& '$ki_accessible'('$ki_local_world',sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f24]) ).
tff(f24,plain,
( ? [X0: '$ki_world'] :
( ~ price(X0,seventy)
& '$ki_accessible'('$ki_local_world',X0) )
=> ( ~ price(sK0,seventy)
& '$ki_accessible'('$ki_local_world',sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f11,plain,
? [X0: '$ki_world'] :
( ~ price(X0,seventy)
& '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f10]) ).
tff(f10,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> price(X0,seventy) ),
inference(negated_conjecture,[],[f9]) ).
tff(f9,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> price(X0,seventy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f46,plain,
price(sK0,seventy),
inference(resolution,[],[f45,f26]) ).
tff(f26,plain,
'$ki_accessible'('$ki_local_world',sK0),
inference(cnf_transformation,[],[f25]) ).
tff(f45,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| price(X0,seventy) ),
inference(subsumption_resolution,[],[f44,f30]) ).
tff(f30,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| class(X0,second) ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0: '$ki_world'] :
( class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> class(X0,second) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief2) ).
tff(f44,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(subsumption_resolution,[],[f32,f29]) ).
tff(f29,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| dest(X0,paris) ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: '$ki_world'] :
( dest(X0,paris)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> dest(X0,paris) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief1) ).
tff(f32,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ dest(X0,paris)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ dest(X0,paris)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ dest(X0,paris)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( ( class(X0,second)
& dest(X0,paris) )
=> price(X0,seventy) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',law2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NLP267_4 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 22:06:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (23058)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (23060)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (23062)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (23059)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (23061)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)
% 0.15/0.37 % (23063)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (23064)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (23065)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)
% 0.15/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [2,1,1,1]
% 0.15/0.38 Detected maximum model sizes of [2,1,1,1]
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 Detected maximum model sizes of [2,5]
% 0.15/0.38 % (23061)Also succeeded, but the first one will report.
% 0.15/0.38 % (23063)First to succeed.
% 0.15/0.38 % (23064)Also succeeded, but the first one will report.
% 0.15/0.38 Detected minimum model sizes of [1,1]
% 0.15/0.38 Detected maximum model sizes of [2,5]
% 0.15/0.38 % (23063)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23058"
% 0.15/0.38 TRYING [1,1,1,1]
% 0.15/0.38 TRYING [1,1,1,1]
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 TRYING [2,1,1,1]
% 0.15/0.38 TRYING [2,1,1,1]
% 0.15/0.38 TRYING [1,2]
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 % (23062)Refutation not found, incomplete strategy% (23062)------------------------------
% 0.15/0.38 % (23062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (23060)Refutation not found, incomplete strategy% (23060)------------------------------
% 0.15/0.38 % (23060)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 TRYING [1,1]
% 0.15/0.38 % (23062)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38 % (23060)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (23062)Memory used [KB]: 729
% 0.15/0.38 % (23060)Memory used [KB]: 729
% 0.15/0.38 % (23062)Time elapsed: 0.004 s
% 0.15/0.38 % (23060)Time elapsed: 0.004 s
% 0.15/0.38 % (23060)Instructions burned: 3 (million)
% 0.15/0.38 % (23062)Instructions burned: 3 (million)
% 0.15/0.38 TRYING [2,2]
% 0.15/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.15/0.38 % (23059)Refutation not found, incomplete strategy% (23059)------------------------------
% 0.15/0.38 % (23059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (23059)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38 % (23059)Memory used [KB]: 729
% 0.15/0.38 % (23059)Time elapsed: 0.004 s
% 0.15/0.38 % (23059)Instructions burned: 4 (million)
% 0.15/0.38 TRYING [1,2]
% 0.15/0.38 % (23063)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (23063)------------------------------
% 0.15/0.38 % (23063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (23063)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (23063)Memory used [KB]: 747
% 0.15/0.38 % (23063)Time elapsed: 0.003 s
% 0.15/0.38 % (23063)Instructions burned: 3 (million)
% 0.15/0.38 % (23058)Success in time 0.019 s
%------------------------------------------------------------------------------