TSTP Solution File: SYO887_22 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO887_22 : 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 : n022.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 09:16:06 EDT 2024
% Result : Theorem 0.07s 0.28s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 60 ( 22 ~; 14 |; 17 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 32 ( 20 !; 12 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_1,type,
sK0: '$ki_world' > $i ).
tff(func_def_2,type,
sK1: '$ki_world' > $i ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
f: ( '$ki_world' * $i ) > $o ).
tff(pred_def_3,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f32,plain,
$false,
inference(subsumption_resolution,[],[f31,f23]) ).
tff(f23,plain,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
tff(f31,plain,
~ '$ki_accessible'('$ki_local_world','$ki_local_world'),
inference(resolution,[],[f29,f28]) ).
tff(f28,plain,
f('$ki_local_world',sK0('$ki_local_world')),
inference(resolution,[],[f21,f23]) ).
tff(f21,plain,
! [X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| f(X2,sK0(X2)) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ! [X0] :
( ! [X1: '$ki_world'] :
( ~ f(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0) )
& ! [X2: '$ki_world'] :
( ( f(X2,sK0(X2))
& '$ki_exists_in_world_$i'(X2,sK0(X2)) )
| ~ '$ki_accessible'('$ki_local_world',X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
! [X2: '$ki_world'] :
( ? [X3] :
( f(X2,X3)
& '$ki_exists_in_world_$i'(X2,X3) )
=> ( f(X2,sK0(X2))
& '$ki_exists_in_world_$i'(X2,sK0(X2)) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
( ! [X0] :
( ! [X1: '$ki_world'] :
( ~ f(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0) )
& ! [X2: '$ki_world'] :
( ? [X3] :
( f(X2,X3)
& '$ki_exists_in_world_$i'(X2,X3) )
| ~ '$ki_accessible'('$ki_local_world',X2) ) ),
inference(rectify,[],[f10]) ).
tff(f10,plain,
( ! [X2] :
( ! [X3: '$ki_world'] :
( ~ f(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X2) )
& ! [X0: '$ki_world'] :
( ? [X1] :
( f(X0,X1)
& '$ki_exists_in_world_$i'(X0,X1) )
| ~ '$ki_accessible'('$ki_local_world',X0) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X1] :
( f(X0,X1)
& '$ki_exists_in_world_$i'(X0,X1) ) )
=> ? [X2] :
( ? [X3: '$ki_world'] :
( f(X3,X2)
& '$ki_accessible'('$ki_local_world',X3) )
& '$ki_exists_in_world_$i'('$ki_local_world',X2) ) ),
inference(rectify,[],[f6]) ).
tff(f6,negated_conjecture,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( f(X0,X3)
& '$ki_exists_in_world_$i'(X0,X3) ) )
=> ? [X3] :
( ? [X0: '$ki_world'] :
( f(X0,X3)
& '$ki_accessible'('$ki_local_world',X0) )
& '$ki_exists_in_world_$i'('$ki_local_world',X3) ) ),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ? [X3] :
( f(X0,X3)
& '$ki_exists_in_world_$i'(X0,X3) ) )
=> ? [X3] :
( ? [X0: '$ki_world'] :
( f(X0,X3)
& '$ki_accessible'('$ki_local_world',X0) )
& '$ki_exists_in_world_$i'('$ki_local_world',X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f29,plain,
! [X0: '$ki_world'] :
( ~ f(X0,sK0('$ki_local_world'))
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(resolution,[],[f22,f27]) ).
tff(f27,plain,
'$ki_exists_in_world_$i'('$ki_local_world',sK0('$ki_local_world')),
inference(resolution,[],[f20,f23]) ).
tff(f20,plain,
! [X2: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| '$ki_exists_in_world_$i'(X2,sK0(X2)) ),
inference(cnf_transformation,[],[f17]) ).
tff(f22,plain,
! [X0: $i,X1: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'('$ki_local_world',X0)
| ~ '$ki_accessible'('$ki_local_world',X1)
| ~ f(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYO887_22 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.26 % Computer : n022.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon May 20 10:23:22 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % (5087)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.27 % (5091)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.07/0.27 % (5090)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)
% 0.07/0.27 % (5092)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.07/0.27 % (5089)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.07/0.27 % (5093)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.07/0.27 % (5088)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.07/0.27 % (5094)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)
% 0.07/0.27 Detected minimum model sizes of [1,1]
% 0.07/0.27 Detected maximum model sizes of [1,max]
% 0.07/0.27 Detected minimum model sizes of [1,1]
% 0.07/0.27 Detected minimum model sizes of [1,1]
% 0.07/0.27 Detected minimum model sizes of [1,1]
% 0.07/0.27 Detected maximum model sizes of [1,max]
% 0.07/0.27 Detected maximum model sizes of [1,max]
% 0.07/0.27 Detected maximum model sizes of [1,max]
% 0.07/0.27 TRYING [1,1]
% 0.07/0.27 TRYING [1,1]
% 0.07/0.27 TRYING [1,1]
% 0.07/0.27 TRYING [1,1]
% 0.07/0.27 TRYING [1,2]
% 0.07/0.27 TRYING [1,2]
% 0.07/0.27 TRYING [1,2]
% 0.07/0.27 % (5090)Also succeeded, but the first one will report.
% 0.07/0.27 TRYING [1,2]
% 0.07/0.27 % (5092)First to succeed.
% 0.07/0.27 Cannot enumerate next child to try in an incomplete setup
% 0.07/0.27 Cannot enumerate next child to try in an incomplete setup
% 0.07/0.27 % (5094)Refutation not found, incomplete strategy% (5094)------------------------------
% 0.07/0.27 % (5094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.07/0.27 % (5088)Refutation not found, incomplete strategy% (5088)------------------------------
% 0.07/0.27 % (5088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.07/0.27 % (5094)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.27 Cannot enumerate next child to try in an incomplete setup
% 0.07/0.27 % (5088)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.27 Cannot enumerate next child to try in an incomplete setup
% 0.07/0.27
% 0.07/0.27
% 0.07/0.27 % (5088)Memory used [KB]: 724
% 0.07/0.27 % (5094)Memory used [KB]: 725
% 0.07/0.27 % (5088)Time elapsed: 0.002 s
% 0.07/0.27 % (5093)Also succeeded, but the first one will report.
% 0.07/0.27 % (5094)Time elapsed: 0.002 s
% 0.07/0.27 % (5088)Instructions burned: 2 (million)
% 0.07/0.27 % (5094)Instructions burned: 3 (million)
% 0.07/0.27 % (5089)Refutation not found, incomplete strategy% (5089)------------------------------
% 0.07/0.27 % (5089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.07/0.27 % (5091)Refutation not found, incomplete strategy% (5091)------------------------------
% 0.07/0.27 % (5091)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.07/0.27 % (5089)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.27
% 0.07/0.27 % (5091)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.27 % (5089)Memory used [KB]: 728
% 0.07/0.27
% 0.07/0.27 % (5089)Time elapsed: 0.001 s
% 0.07/0.27 % (5091)Memory used [KB]: 728
% 0.07/0.27 % (5091)Time elapsed: 0.001 s
% 0.07/0.27 % (5091)Instructions burned: 3 (million)
% 0.07/0.27 % (5089)Instructions burned: 3 (million)
% 0.07/0.27 % (5094)------------------------------
% 0.07/0.27 % (5094)------------------------------
% 0.07/0.27 % (5088)------------------------------
% 0.07/0.27 % (5088)------------------------------
% 0.07/0.27 % (5089)------------------------------
% 0.07/0.27 % (5089)------------------------------
% 0.07/0.27 % (5091)------------------------------
% 0.07/0.27 % (5091)------------------------------
% 0.07/0.27 % (5092)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5087"
% 0.07/0.28 % (5092)Refutation found. Thanks to Tanya!
% 0.07/0.28 % SZS status Theorem for theBenchmark
% 0.07/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.28 % (5092)------------------------------
% 0.07/0.28 % (5092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.07/0.28 % (5092)Termination reason: Refutation
% 0.07/0.28
% 0.07/0.28 % (5092)Memory used [KB]: 734
% 0.07/0.28 % (5092)Time elapsed: 0.002 s
% 0.07/0.28 % (5092)Instructions burned: 3 (million)
% 0.07/0.28 % (5087)Success in time 0.01 s
%------------------------------------------------------------------------------