TSTP Solution File: NLP267_17 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NLP267_17 : 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 : 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 : Tue May 21 01:05:45 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 49 ( 21 ~; 15 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 31 ( 31 fml; 0 var)
% Number of types : 4 ( 2 usr)
% Number of type conns : 9 ( 4 >; 5 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 21 ( 19 !; 2 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(type_def_6,type,
'$ki_index': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_1,type,
'#idx(b_s)': '$ki_index' ).
tff(func_def_2,type,
'#idx(b_u)': '$ki_index' ).
tff(func_def_8,type,
sK0: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_index' * '$ki_world' * '$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,
$false,
inference(resolution,[],[f47,f29]) ).
tff(f29,plain,
~ price(sK0,seventy),
inference(cnf_transformation,[],[f27]) ).
tff(f27,plain,
( ~ price(sK0,seventy)
& '$ki_accessible'('#idx(b_s)','$ki_local_world',sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f26]) ).
tff(f26,plain,
( ? [X0: '$ki_world'] :
( ~ price(X0,seventy)
& '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) )
=> ( ~ price(sK0,seventy)
& '$ki_accessible'('#idx(b_s)','$ki_local_world',sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f12,plain,
? [X0: '$ki_world'] :
( ~ price(X0,seventy)
& '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,negated_conjecture,
~ ! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
=> price(X0,seventy) ),
inference(negated_conjecture,[],[f10]) ).
tff(f10,conjecture,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
=> price(X0,seventy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f47,plain,
! [X0: '$ki_world'] : price(X0,seventy),
inference(subsumption_resolution,[],[f46,f39]) ).
tff(f39,plain,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X0,X1),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_universal_#idx(b_s)') ).
tff(f46,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(subsumption_resolution,[],[f45,f40]) ).
tff(f40,plain,
! [X0: '$ki_world'] : dest(X0,paris),
inference(subsumption_resolution,[],[f32,f39]) ).
tff(f32,plain,
! [X0: '$ki_world'] :
( dest(X0,paris)
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: '$ki_world'] :
( ( class(X0,second)
& dest(X0,paris) )
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
=> ( class(X0,second)
& dest(X0,paris) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
tff(f45,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ dest(X0,paris)
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(subsumption_resolution,[],[f35,f41]) ).
tff(f41,plain,
! [X0: '$ki_world'] : class(X0,second),
inference(subsumption_resolution,[],[f33,f39]) ).
tff(f33,plain,
! [X0: '$ki_world'] :
( class(X0,second)
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(cnf_transformation,[],[f17]) ).
tff(f35,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ dest(X0,paris)
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ dest(X0,paris)
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(flattening,[],[f20]) ).
tff(f20,plain,
! [X0: '$ki_world'] :
( price(X0,seventy)
| ~ class(X0,second)
| ~ dest(X0,paris)
| ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0: '$ki_world'] :
( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
=> ( ( class(X0,second)
& dest(X0,paris) )
=> price(X0,seventy) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NLP267_17 : TPTP v8.2.0. Released v8.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.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 : Sun May 19 21:40:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (28896)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (28897)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 % (28899)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)
% 0.21/0.38 % (28900)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38 % (28901)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38 % (28898)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (28902)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38 % (28903)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)
% 0.21/0.38 % (28901)First to succeed.
% 0.21/0.38 Detected minimum model sizes of [1,1,1,1,1,1]
% 0.21/0.38 Detected maximum model sizes of [1,1,1,1,1,1]
% 0.21/0.38 % (28902)Also succeeded, but the first one will report.
% 0.21/0.38 Detected minimum model sizes of [1,1,1,1,1,1]
% 0.21/0.38 Detected maximum model sizes of [1,1,1,1,1,1]
% 0.21/0.38 TRYING [1,1,1,1,1,1]
% 0.21/0.38 TRYING [1,1,1,1,1,1]
% 0.21/0.38 Detected minimum model sizes of [1,1,1]
% 0.21/0.38 Detected maximum model sizes of [2,2,5]
% 0.21/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.38 % (28899)Also succeeded, but the first one will report.
% 0.21/0.38 % (28900)Refutation not found, incomplete strategy% (28900)------------------------------
% 0.21/0.38 % (28900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (28900)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38 % (28900)Memory used [KB]: 731
% 0.21/0.38 % (28900)Time elapsed: 0.003 s
% 0.21/0.38 % (28900)Instructions burned: 3 (million)
% 0.21/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.38 TRYING [1,1,1]
% 0.21/0.38 % (28898)Refutation not found, incomplete strategy% (28898)------------------------------
% 0.21/0.38 % (28898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (28898)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38 % (28898)Memory used [KB]: 731
% 0.21/0.38 % (28898)Time elapsed: 0.003 s
% 0.21/0.38 % (28898)Instructions burned: 3 (million)
% 0.21/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.38 % (28897)Refutation not found, incomplete strategy% (28897)------------------------------
% 0.21/0.38 % (28897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (28897)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38 % (28897)Memory used [KB]: 735
% 0.21/0.38 % (28897)Time elapsed: 0.003 s
% 0.21/0.38 % (28897)Instructions burned: 4 (million)
% 0.21/0.38 % (28901)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28896"
% 0.21/0.38 Detected minimum model sizes of [1,1,1]
% 0.21/0.38 % (28900)------------------------------
% 0.21/0.38 % (28900)------------------------------
% 0.21/0.38 Detected maximum model sizes of [2,2,5]
% 0.21/0.38 % (28898)------------------------------
% 0.21/0.38 % (28898)------------------------------
% 0.21/0.38 TRYING [1,1,1]
% 0.21/0.38 % (28897)------------------------------
% 0.21/0.38 % (28897)------------------------------
% 0.21/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.21/0.38 % (28903)Refutation not found, incomplete strategy% (28903)------------------------------
% 0.21/0.38 % (28903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (28903)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38 % (28903)Memory used [KB]: 737
% 0.21/0.38 % (28903)Time elapsed: 0.003 s
% 0.21/0.38 % (28903)Instructions burned: 4 (million)
% 0.21/0.38 % (28903)------------------------------
% 0.21/0.38 % (28903)------------------------------
% 0.21/0.38 % (28901)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (28901)------------------------------
% 0.21/0.38 % (28901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (28901)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (28901)Memory used [KB]: 747
% 0.21/0.38 % (28901)Time elapsed: 0.003 s
% 0.21/0.38 % (28901)Instructions burned: 3 (million)
% 0.21/0.38 % (28896)Success in time 0.019 s
%------------------------------------------------------------------------------