TSTP Solution File: SYO888_10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO888_10 : 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 : n025.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 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 33 ( 9 unt; 9 typ; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 146 ( 47 ~; 36 |; 31 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 19 ( 19 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 11 ( 6 >; 5 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 54 ( 44 !; 10 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_2,type,
sK1: '$ki_world' ).
tff(func_def_3,type,
sK2: '$ki_world' > $i ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
f: ( '$ki_world' * $i ) > $o ).
tff(pred_def_3,type,
g: ( '$ki_world' * $i ) > $o ).
tff(pred_def_4,type,
h: ( '$ki_world' * $i ) > $o ).
tff(pred_def_5,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f37,plain,
$false,
inference(subsumption_resolution,[],[f35,f23]) ).
tff(f23,plain,
~ h(sK1,sK0),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
( ~ h(sK1,sK0)
& '$ki_accessible'('$ki_local_world',sK1)
& f('$ki_local_world',sK0)
& '$ki_exists_in_world_$i'('$ki_local_world',sK0)
& ! [X2] :
( ! [X3: '$ki_world'] :
( h(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
| ~ g('$ki_local_world',X2)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X2) )
& ! [X4] :
( ! [X5: '$ki_world'] :
( g(X5,X4)
| ~ '$ki_accessible'('$ki_local_world',X5) )
| ~ f('$ki_local_world',X4)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f14,f13]) ).
tff(f13,plain,
( ? [X0] :
( ? [X1: '$ki_world'] :
( ~ h(X1,X0)
& '$ki_accessible'('$ki_local_world',X1) )
& f('$ki_local_world',X0)
& '$ki_exists_in_world_$i'('$ki_local_world',X0) )
=> ( ? [X1: '$ki_world'] :
( ~ h(X1,sK0)
& '$ki_accessible'('$ki_local_world',X1) )
& f('$ki_local_world',sK0)
& '$ki_exists_in_world_$i'('$ki_local_world',sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
( ? [X1: '$ki_world'] :
( ~ h(X1,sK0)
& '$ki_accessible'('$ki_local_world',X1) )
=> ( ~ h(sK1,sK0)
& '$ki_accessible'('$ki_local_world',sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f12,plain,
( ? [X0] :
( ? [X1: '$ki_world'] :
( ~ h(X1,X0)
& '$ki_accessible'('$ki_local_world',X1) )
& f('$ki_local_world',X0)
& '$ki_exists_in_world_$i'('$ki_local_world',X0) )
& ! [X2] :
( ! [X3: '$ki_world'] :
( h(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
| ~ g('$ki_local_world',X2)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X2) )
& ! [X4] :
( ! [X5: '$ki_world'] :
( g(X5,X4)
| ~ '$ki_accessible'('$ki_local_world',X5) )
| ~ f('$ki_local_world',X4)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X4) ) ),
inference(rectify,[],[f9]) ).
tff(f9,plain,
( ? [X4] :
( ? [X5: '$ki_world'] :
( ~ h(X5,X4)
& '$ki_accessible'('$ki_local_world',X5) )
& f('$ki_local_world',X4)
& '$ki_exists_in_world_$i'('$ki_local_world',X4) )
& ! [X0] :
( ! [X1: '$ki_world'] :
( h(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ~ g('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0) )
& ! [X2] :
( ! [X3: '$ki_world'] :
( g(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
| ~ f('$ki_local_world',X2)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X2) ) ),
inference(flattening,[],[f8]) ).
tff(f8,plain,
( ? [X4] :
( ? [X5: '$ki_world'] :
( ~ h(X5,X4)
& '$ki_accessible'('$ki_local_world',X5) )
& f('$ki_local_world',X4)
& '$ki_exists_in_world_$i'('$ki_local_world',X4) )
& ! [X0] :
( ! [X1: '$ki_world'] :
( h(X1,X0)
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ~ g('$ki_local_world',X0)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0) )
& ! [X2] :
( ! [X3: '$ki_world'] :
( g(X3,X2)
| ~ '$ki_accessible'('$ki_local_world',X3) )
| ~ f('$ki_local_world',X2)
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X2) ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,plain,
~ ( ( ! [X0] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
=> ( g('$ki_local_world',X0)
=> ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> h(X1,X0) ) ) )
& ! [X2] :
( '$ki_exists_in_world_$i'('$ki_local_world',X2)
=> ( f('$ki_local_world',X2)
=> ! [X3: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X3)
=> g(X3,X2) ) ) ) )
=> ! [X4] :
( '$ki_exists_in_world_$i'('$ki_local_world',X4)
=> ( f('$ki_local_world',X4)
=> ! [X5: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X5)
=> h(X5,X4) ) ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,negated_conjecture,
~ ( ( ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( g('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> h(X0,X3) ) ) )
& ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( f('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> g(X0,X3) ) ) ) )
=> ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( f('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> h(X0,X3) ) ) ) ),
inference(negated_conjecture,[],[f4]) ).
tff(f4,conjecture,
( ( ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( g('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> h(X0,X3) ) ) )
& ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( f('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> g(X0,X3) ) ) ) )
=> ! [X3] :
( '$ki_exists_in_world_$i'('$ki_local_world',X3)
=> ( f('$ki_local_world',X3)
=> ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> h(X0,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
tff(f35,plain,
h(sK1,sK0),
inference(resolution,[],[f34,f22]) ).
tff(f22,plain,
'$ki_accessible'('$ki_local_world',sK1),
inference(cnf_transformation,[],[f15]) ).
tff(f34,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| h(X0,sK0) ),
inference(subsumption_resolution,[],[f32,f31]) ).
tff(f31,plain,
g('$ki_local_world',sK0),
inference(resolution,[],[f29,f24]) ).
tff(f24,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(f29,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| g(X0,sK0) ),
inference(subsumption_resolution,[],[f27,f21]) ).
tff(f21,plain,
f('$ki_local_world',sK0),
inference(cnf_transformation,[],[f15]) ).
tff(f27,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ f('$ki_local_world',sK0)
| g(X0,sK0) ),
inference(resolution,[],[f18,f20]) ).
tff(f20,plain,
'$ki_exists_in_world_$i'('$ki_local_world',sK0),
inference(cnf_transformation,[],[f15]) ).
tff(f18,plain,
! [X4: $i,X5: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'('$ki_local_world',X4)
| ~ '$ki_accessible'('$ki_local_world',X5)
| ~ f('$ki_local_world',X4)
| g(X5,X4) ),
inference(cnf_transformation,[],[f15]) ).
tff(f32,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ g('$ki_local_world',sK0)
| h(X0,sK0) ),
inference(resolution,[],[f19,f20]) ).
tff(f19,plain,
! [X2: $i,X3: '$ki_world'] :
( ~ '$ki_exists_in_world_$i'('$ki_local_world',X2)
| ~ '$ki_accessible'('$ki_local_world',X3)
| ~ g('$ki_local_world',X2)
| h(X3,X2) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO888_10 : TPTP v8.2.0. Released v8.2.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n025.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 : Mon May 20 10:46:53 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.36 % (10783)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (10786)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (10787)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 % (10785)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (10788)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 % (10789)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (10790)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (10791)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 Detected minimum model sizes of [1,1]
% 0.22/0.38 Detected maximum model sizes of [2,max]
% 0.22/0.38 Detected minimum model sizes of [1,1]
% 0.22/0.38 Detected maximum model sizes of [2,max]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 Detected minimum model sizes of [1,1]
% 0.22/0.38 Detected maximum model sizes of [2,max]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 % (10789)First to succeed.
% 0.22/0.38 TRYING [2,1]
% 0.22/0.38 TRYING [2,1]
% 0.22/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.22/0.38 % (10785)Refutation not found, incomplete strategy% (10785)------------------------------
% 0.22/0.38 % (10785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10785)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38 % (10785)Memory used [KB]: 728
% 0.22/0.38 % (10785)Time elapsed: 0.003 s
% 0.22/0.38 % (10785)Instructions burned: 3 (million)
% 0.22/0.38 Detected minimum model sizes of [1,1]
% 0.22/0.38 Detected maximum model sizes of [2,max]
% 0.22/0.38 TRYING [2,1]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.22/0.38 % (10790)Also succeeded, but the first one will report.
% 0.22/0.38 % (10786)Refutation not found, incomplete strategy% (10786)------------------------------
% 0.22/0.38 % (10786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10786)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38 % (10786)Memory used [KB]: 731
% 0.22/0.38 % (10786)Time elapsed: 0.003 s
% 0.22/0.38 % (10786)Instructions burned: 3 (million)
% 0.22/0.38 % (10787)Also succeeded, but the first one will report.
% 0.22/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.22/0.38 % (10788)Refutation not found, incomplete strategy% (10788)------------------------------
% 0.22/0.38 % (10788)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10788)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38 % (10788)Memory used [KB]: 732
% 0.22/0.38 % (10788)Time elapsed: 0.003 s
% 0.22/0.38 % (10788)Instructions burned: 3 (million)
% 0.22/0.38 TRYING [2,1]
% 0.22/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.22/0.38 % (10791)Refutation not found, incomplete strategy% (10791)------------------------------
% 0.22/0.38 % (10791)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10791)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.38
% 0.22/0.38 % (10791)Memory used [KB]: 729
% 0.22/0.38 % (10791)Time elapsed: 0.003 s
% 0.22/0.38 % (10791)Instructions burned: 3 (million)
% 0.22/0.38 % (10785)------------------------------
% 0.22/0.38 % (10785)------------------------------
% 0.22/0.38 % (10786)------------------------------
% 0.22/0.38 % (10786)------------------------------
% 0.22/0.38 % (10788)------------------------------
% 0.22/0.38 % (10788)------------------------------
% 0.22/0.38 % (10789)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10783"
% 0.22/0.38 % (10791)------------------------------
% 0.22/0.38 % (10791)------------------------------
% 0.22/0.38 % (10789)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 % (10789)------------------------------
% 0.22/0.38 % (10789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (10789)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (10789)Memory used [KB]: 736
% 0.22/0.38 % (10789)Time elapsed: 0.004 s
% 0.22/0.38 % (10789)Instructions burned: 3 (million)
% 0.22/0.38 % (10783)Success in time 0.019 s
%------------------------------------------------------------------------------