TSTP Solution File: SYO894_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO894_8 : 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 09:16:08 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 162 ( 69 ~; 59 |; 21 &)
% ( 3 <=>; 8 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 25 !; 9 ?; 34 :)
% 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' ).
tff(func_def_2,type,
sK1: '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
p: '$ki_world' > $o ).
tff(f66,plain,
$false,
inference(subsumption_resolution,[],[f61,f48]) ).
tff(f48,plain,
p(sK0),
inference(subsumption_resolution,[],[f46,f41]) ).
tff(f41,plain,
p(sK1),
inference(subsumption_resolution,[],[f40,f17]) ).
tff(f17,plain,
( p(sK1)
| p(sK0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
( ( ( p(sK0)
& '$ki_accessible'('$ki_local_world',sK0) )
| ( p(sK1)
& p(sK1)
& '$ki_accessible'('$ki_local_world',sK1) ) )
& ( ! [X2: '$ki_world'] :
( ~ p(X2)
| ~ '$ki_accessible'('$ki_local_world',X2) )
| ! [X3: '$ki_world'] :
( ~ p(X3)
| ~ p(X3)
| ~ '$ki_accessible'('$ki_local_world',X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f10,f9]) ).
tff(f9,plain,
( ? [X0: '$ki_world'] :
( p(X0)
& '$ki_accessible'('$ki_local_world',X0) )
=> ( p(sK0)
& '$ki_accessible'('$ki_local_world',sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f10,plain,
( ? [X1: '$ki_world'] :
( p(X1)
& p(X1)
& '$ki_accessible'('$ki_local_world',X1) )
=> ( p(sK1)
& p(sK1)
& '$ki_accessible'('$ki_local_world',sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f8,plain,
( ( ? [X0: '$ki_world'] :
( p(X0)
& '$ki_accessible'('$ki_local_world',X0) )
| ? [X1: '$ki_world'] :
( p(X1)
& p(X1)
& '$ki_accessible'('$ki_local_world',X1) ) )
& ( ! [X2: '$ki_world'] :
( ~ p(X2)
| ~ '$ki_accessible'('$ki_local_world',X2) )
| ! [X3: '$ki_world'] :
( ~ p(X3)
| ~ p(X3)
| ~ '$ki_accessible'('$ki_local_world',X3) ) ) ),
inference(rectify,[],[f7]) ).
tff(f7,plain,
( ( ? [X1: '$ki_world'] :
( p(X1)
& '$ki_accessible'('$ki_local_world',X1) )
| ? [X0: '$ki_world'] :
( p(X0)
& p(X0)
& '$ki_accessible'('$ki_local_world',X0) ) )
& ( ! [X1: '$ki_world'] :
( ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) )
| ! [X0: '$ki_world'] :
( ~ p(X0)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) ) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f6,plain,
( ! [X0: '$ki_world'] :
( ~ p(X0)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
<~> ! [X1: '$ki_world'] :
( ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(flattening,[],[f5]) ).
tff(f5,plain,
( ! [X0: '$ki_world'] :
( ~ p(X0)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) )
<~> ! [X1: '$ki_world'] :
( ~ p(X1)
| ~ '$ki_accessible'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,plain,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ p(X0) ) )
<=> ~ ? [X1: '$ki_world'] :
( p(X1)
& '$ki_accessible'('$ki_local_world',X1) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ p(X0) ) )
<=> ~ ? [X0: '$ki_world'] :
( p(X0)
& '$ki_accessible'('$ki_local_world',X0) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( ! [X0: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X0)
=> ( p(X0)
=> ~ p(X0) ) )
<=> ~ ? [X0: '$ki_world'] :
( p(X0)
& '$ki_accessible'('$ki_local_world',X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f40,plain,
( ~ p(sK0)
| p(sK1) ),
inference(duplicate_literal_removal,[],[f36]) ).
tff(f36,plain,
( ~ p(sK0)
| p(sK1)
| p(sK1) ),
inference(resolution,[],[f25,f14]) ).
tff(f14,plain,
( '$ki_accessible'('$ki_local_world',sK0)
| p(sK1) ),
inference(cnf_transformation,[],[f11]) ).
tff(f25,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ p(X0)
| p(sK1) ),
inference(subsumption_resolution,[],[f21,f17]) ).
tff(f21,plain,
! [X0: '$ki_world'] :
( ~ p(sK0)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| p(sK1) ),
inference(resolution,[],[f20,f14]) ).
tff(f20,plain,
! [X2: '$ki_world',X3: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X2)
| ~ p(X2)
| ~ p(X3)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(duplicate_literal_removal,[],[f12]) ).
tff(f12,plain,
! [X2: '$ki_world',X3: '$ki_world'] :
( ~ p(X2)
| ~ '$ki_accessible'('$ki_local_world',X2)
| ~ p(X3)
| ~ p(X3)
| ~ '$ki_accessible'('$ki_local_world',X3) ),
inference(cnf_transformation,[],[f11]) ).
tff(f46,plain,
( ~ p(sK1)
| p(sK0) ),
inference(duplicate_literal_removal,[],[f44]) ).
tff(f44,plain,
( ~ p(sK1)
| p(sK0)
| p(sK0) ),
inference(resolution,[],[f27,f16]) ).
tff(f16,plain,
( '$ki_accessible'('$ki_local_world',sK1)
| p(sK0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f27,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ p(X0)
| p(sK0) ),
inference(subsumption_resolution,[],[f23,f17]) ).
tff(f23,plain,
! [X0: '$ki_world'] :
( ~ p(sK1)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| p(sK0) ),
inference(resolution,[],[f20,f16]) ).
tff(f61,plain,
~ p(sK0),
inference(resolution,[],[f60,f54]) ).
tff(f54,plain,
'$ki_accessible'('$ki_local_world',sK0),
inference(subsumption_resolution,[],[f53,f41]) ).
tff(f53,plain,
( ~ p(sK1)
| '$ki_accessible'('$ki_local_world',sK0) ),
inference(duplicate_literal_removal,[],[f50]) ).
tff(f50,plain,
( ~ p(sK1)
| '$ki_accessible'('$ki_local_world',sK0)
| '$ki_accessible'('$ki_local_world',sK0) ),
inference(resolution,[],[f26,f13]) ).
tff(f13,plain,
( '$ki_accessible'('$ki_local_world',sK1)
| '$ki_accessible'('$ki_local_world',sK0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f26,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ p(X0)
| '$ki_accessible'('$ki_local_world',sK0) ),
inference(subsumption_resolution,[],[f22,f14]) ).
tff(f22,plain,
! [X0: '$ki_world'] :
( ~ p(sK1)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0)
| '$ki_accessible'('$ki_local_world',sK0) ),
inference(resolution,[],[f20,f13]) ).
tff(f60,plain,
! [X0: '$ki_world'] :
( ~ '$ki_accessible'('$ki_local_world',X0)
| ~ p(X0) ),
inference(subsumption_resolution,[],[f59,f48]) ).
tff(f59,plain,
! [X0: '$ki_world'] :
( ~ p(sK0)
| ~ p(X0)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(resolution,[],[f54,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO894_8 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 10:57:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (20511)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (20514)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)
% 0.14/0.38 % (20513)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (20512)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (20518)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)
% 0.14/0.38 % (20516)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (20517)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [3]
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 Detected maximum model sizes of [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (20515)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (20514)Also succeeded, but the first one will report.
% 0.14/0.38 % (20516)First to succeed.
% 0.14/0.38 % (20517)Also succeeded, but the first one will report.
% 0.14/0.38 % (20512)Also succeeded, but the first one will report.
% 0.14/0.38 % (20518)Also succeeded, but the first one will report.
% 0.14/0.38 % (20513)Also succeeded, but the first one will report.
% 0.14/0.38 Detected minimum model sizes of [1]
% 0.14/0.38 Detected maximum model sizes of [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (20516)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20511"
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (20515)Also succeeded, but the first one will report.
% 0.14/0.38 % (20516)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (20516)------------------------------
% 0.14/0.38 % (20516)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (20516)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (20516)Memory used [KB]: 748
% 0.14/0.38 % (20516)Time elapsed: 0.004 s
% 0.14/0.38 % (20516)Instructions burned: 3 (million)
% 0.14/0.38 % (20511)Success in time 0.019 s
%------------------------------------------------------------------------------