TSTP Solution File: PUZ128+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ128+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 02:30:02 EDT 2024
% Result : Theorem 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 46 ( 29 unt; 0 def)
% Number of atoms : 204 ( 64 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 225 ( 67 ~; 55 |; 101 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-1 aty)
% Number of variables : 65 ( 32 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,plain,
$false,
inference(subsumption_resolution,[],[f67,f32]) ).
fof(f32,plain,
~ patricide('Thersandros'),
inference(equality_resolution,[],[f27]) ).
fof(f27,plain,
! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( ! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) )
& 'Oedipus' = sK5
& patricide(sK5)
& 'Polyneikes' = sK4
& relation(sK4,of,'Thersandros')
& parent(sK4)
& 'Oedipus' = sK3
& relation(sK3,of,'Polyneikes')
& parent(sK3)
& 'Iokaste' = sK2
& relation(sK2,of,'Polyneikes')
& parent(sK2)
& 'Iokaste' = sK1
& relation(sK1,of,'Oedipus')
& parent(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f6,f9]) ).
fof(f9,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) )
& 'Oedipus' = X4
& patricide(X4)
& 'Polyneikes' = X3
& relation(X3,of,'Thersandros')
& parent(X3)
& 'Oedipus' = X2
& relation(X2,of,'Polyneikes')
& parent(X2)
& 'Iokaste' = X1
& relation(X1,of,'Polyneikes')
& parent(X1)
& 'Iokaste' = X0
& relation(X0,of,'Oedipus')
& parent(X0) )
=> ( ! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) )
& 'Oedipus' = sK5
& patricide(sK5)
& 'Polyneikes' = sK4
& relation(sK4,of,'Thersandros')
& parent(sK4)
& 'Oedipus' = sK3
& relation(sK3,of,'Polyneikes')
& parent(sK3)
& 'Iokaste' = sK2
& relation(sK2,of,'Polyneikes')
& parent(sK2)
& 'Iokaste' = sK1
& relation(sK1,of,'Oedipus')
& parent(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0,X1,X2,X3,X4] :
( ! [X5] :
( 'Thersandros' != X5
| ~ patricide(X5) )
& 'Oedipus' = X4
& patricide(X4)
& 'Polyneikes' = X3
& relation(X3,of,'Thersandros')
& parent(X3)
& 'Oedipus' = X2
& relation(X2,of,'Polyneikes')
& parent(X2)
& 'Iokaste' = X1
& relation(X1,of,'Polyneikes')
& parent(X1)
& 'Iokaste' = X0
& relation(X0,of,'Oedipus')
& parent(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
? [X0,X1,X2,X3,X4] :
( ~ ? [X5] :
( 'Thersandros' = X5
& patricide(X5) )
& 'Oedipus' = X4
& patricide(X4)
& 'Polyneikes' = X3
& relation(X3,of,'Thersandros')
& parent(X3)
& 'Oedipus' = X2
& relation(X2,of,'Polyneikes')
& parent(X2)
& 'Iokaste' = X1
& relation(X1,of,'Polyneikes')
& parent(X1)
& 'Iokaste' = X0
& relation(X0,of,'Oedipus')
& parent(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background) ).
fof(f67,plain,
patricide('Thersandros'),
inference(superposition,[],[f65,f64]) ).
fof(f64,plain,
'Thersandros' = sK0('Thersandros'),
inference(unit_resulting_resolution,[],[f39,f35,f34,f38,f61,f29]) ).
fof(f29,plain,
! [X2,X3] :
( ~ relation('Iokaste',of,X2)
| ~ relation(X2,of,X3)
| sK0(X3) = X3
| ~ parent(X2)
| ~ patricide(X2)
| ~ parent('Iokaste') ),
inference(equality_resolution,[],[f28]) ).
fof(f28,plain,
! [X2,X3,X1] :
( ~ relation('Iokaste',of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| sK0(X3) = X3
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent('Iokaste') ),
inference(equality_resolution,[],[f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| sK0(X3) = X3
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| ( sK0(X3) = X3
& patricide(sK0(X3)) )
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f7]) ).
fof(f7,plain,
! [X3] :
( ? [X4] :
( X3 = X4
& patricide(X4) )
=> ( sK0(X3) = X3
& patricide(sK0(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
! [X0,X1,X2,X3] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| ? [X4] :
( X3 = X4
& patricide(X4) )
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ? [X0,X1,X2,X3] :
( 'Iokaste' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& parent(X2)
& patricide(X1)
& parent(X0) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f3,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( 'Iokaste' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& $true
& parent(X2)
& patricide(X1)
& parent(X0) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
? [X0,X1,X2,X3] :
( 'Iokaste' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& $true
& parent(X2)
& patricide(X1)
& parent(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
fof(f61,plain,
patricide('Polyneikes'),
inference(superposition,[],[f42,f53]) ).
fof(f53,plain,
'Polyneikes' = sK0('Polyneikes'),
inference(unit_resulting_resolution,[],[f39,f33,f37,f36,f40,f29]) ).
fof(f40,plain,
relation('Iokaste',of,'Oedipus'),
inference(forward_demodulation,[],[f14,f15]) ).
fof(f15,plain,
'Iokaste' = sK1,
inference(cnf_transformation,[],[f10]) ).
fof(f14,plain,
relation(sK1,of,'Oedipus'),
inference(cnf_transformation,[],[f10]) ).
fof(f36,plain,
relation('Oedipus',of,'Polyneikes'),
inference(forward_demodulation,[],[f20,f21]) ).
fof(f21,plain,
'Oedipus' = sK3,
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
relation(sK3,of,'Polyneikes'),
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
parent('Oedipus'),
inference(forward_demodulation,[],[f19,f21]) ).
fof(f19,plain,
parent(sK3),
inference(cnf_transformation,[],[f10]) ).
fof(f33,plain,
patricide('Oedipus'),
inference(forward_demodulation,[],[f25,f26]) ).
fof(f26,plain,
'Oedipus' = sK5,
inference(cnf_transformation,[],[f10]) ).
fof(f25,plain,
patricide(sK5),
inference(cnf_transformation,[],[f10]) ).
fof(f42,plain,
patricide(sK0('Polyneikes')),
inference(unit_resulting_resolution,[],[f39,f33,f37,f36,f40,f31]) ).
fof(f31,plain,
! [X2,X3] :
( ~ relation('Iokaste',of,X2)
| ~ relation(X2,of,X3)
| patricide(sK0(X3))
| ~ parent(X2)
| ~ patricide(X2)
| ~ parent('Iokaste') ),
inference(equality_resolution,[],[f30]) ).
fof(f30,plain,
! [X2,X3,X1] :
( ~ relation('Iokaste',of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| patricide(sK0(X3))
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent('Iokaste') ),
inference(equality_resolution,[],[f11]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| patricide(sK0(X3))
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
relation('Iokaste',of,'Polyneikes'),
inference(forward_demodulation,[],[f17,f18]) ).
fof(f18,plain,
'Iokaste' = sK2,
inference(cnf_transformation,[],[f10]) ).
fof(f17,plain,
relation(sK2,of,'Polyneikes'),
inference(cnf_transformation,[],[f10]) ).
fof(f34,plain,
relation('Polyneikes',of,'Thersandros'),
inference(forward_demodulation,[],[f23,f24]) ).
fof(f24,plain,
'Polyneikes' = sK4,
inference(cnf_transformation,[],[f10]) ).
fof(f23,plain,
relation(sK4,of,'Thersandros'),
inference(cnf_transformation,[],[f10]) ).
fof(f35,plain,
parent('Polyneikes'),
inference(forward_demodulation,[],[f22,f24]) ).
fof(f22,plain,
parent(sK4),
inference(cnf_transformation,[],[f10]) ).
fof(f39,plain,
parent('Iokaste'),
inference(forward_demodulation,[],[f16,f18]) ).
fof(f16,plain,
parent(sK2),
inference(cnf_transformation,[],[f10]) ).
fof(f65,plain,
patricide(sK0('Thersandros')),
inference(unit_resulting_resolution,[],[f39,f35,f34,f38,f61,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ128+2 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 10:32:37 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.35 % (29774)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (29777)WARNING: value z3 for option sas not known
% 0.20/0.37 % (29781)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 % (29775)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (29776)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (29778)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (29777)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (29779)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37 % (29780)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 % (29781)First to succeed.
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 % (29781)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29774"
% 0.20/0.37 % (29779)Also succeeded, but the first one will report.
% 0.20/0.37 TRYING [4]
% 0.20/0.37 % (29781)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37 % (29781)------------------------------
% 0.20/0.37 % (29781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37 % (29781)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (29781)Memory used [KB]: 752
% 0.20/0.37 % (29781)Time elapsed: 0.004 s
% 0.20/0.37 % (29781)Instructions burned: 5 (million)
% 0.20/0.37 % (29774)Success in time 0.016 s
%------------------------------------------------------------------------------