TSTP Solution File: SEU199+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU199+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 : Sun May 5 09:20:56 EDT 2024
% Result : Theorem 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 4 unt; 0 def)
% Number of atoms : 214 ( 11 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 276 ( 111 ~; 107 |; 38 &)
% ( 9 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 100 ( 82 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(avatar_sat_refutation,[],[f137,f143,f146,f168]) ).
fof(f168,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_3 ),
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f167,plain,
( $false
| ~ spl14_1
| ~ spl14_2
| spl14_3 ),
inference(subsumption_resolution,[],[f166,f142]) ).
fof(f142,plain,
( ~ in(ordered_pair(sK6(relation_rng_restriction(sK0,sK1),sK1),sK7(relation_rng_restriction(sK0,sK1),sK1)),sK1)
| spl14_3 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl14_3
<=> in(ordered_pair(sK6(relation_rng_restriction(sK0,sK1),sK1),sK7(relation_rng_restriction(sK0,sK1),sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f166,plain,
( in(ordered_pair(sK6(relation_rng_restriction(sK0,sK1),sK1),sK7(relation_rng_restriction(sK0,sK1),sK1)),sK1)
| ~ spl14_1
| ~ spl14_2 ),
inference(resolution,[],[f151,f136]) ).
fof(f136,plain,
( in(ordered_pair(sK6(relation_rng_restriction(sK0,sK1),sK1),sK7(relation_rng_restriction(sK0,sK1),sK1)),relation_rng_restriction(sK0,sK1))
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl14_2
<=> in(ordered_pair(sK6(relation_rng_restriction(sK0,sK1),sK1),sK7(relation_rng_restriction(sK0,sK1),sK1)),relation_rng_restriction(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f151,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),relation_rng_restriction(sK0,sK1))
| in(ordered_pair(X0,X1),sK1) )
| ~ spl14_1 ),
inference(subsumption_resolution,[],[f148,f80]) ).
fof(f80,plain,
relation(sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ~ subset(relation_rng_restriction(sK0,sK1),sK1)
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f39,f54]) ).
fof(f54,plain,
( ? [X0,X1] :
( ~ subset(relation_rng_restriction(X0,X1),X1)
& relation(X1) )
=> ( ~ subset(relation_rng_restriction(sK0,sK1),sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0,X1] :
( ~ subset(relation_rng_restriction(X0,X1),X1)
& relation(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox/tmp/tmp.qiLTALo4t1/Vampire---4.8_22223',t117_relat_1) ).
fof(f148,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),relation_rng_restriction(sK0,sK1))
| in(ordered_pair(X0,X1),sK1)
| ~ relation(sK1) )
| ~ spl14_1 ),
inference(resolution,[],[f131,f117]) ).
fof(f117,plain,
! [X0,X1,X6,X5] :
( ~ relation(relation_rng_restriction(X0,X1))
| ~ in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| in(ordered_pair(X5,X6),X1)
| ~ relation(X1) ),
inference(equality_resolution,[],[f84]) ).
fof(f84,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X1)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ( ( ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X1)
| ~ in(sK3(X0,X1,X2),X0)
| ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X1)
& in(sK3(X0,X1,X2),X0) )
| in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0) )
& ( ( in(ordered_pair(X5,X6),X1)
& in(X6,X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f58,f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) )
=> ( ( ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X1)
| ~ in(sK3(X0,X1,X2),X0)
| ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X1)
& in(sK3(X0,X1,X2),X0) )
| in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X1)
| ~ in(X6,X0) )
& ( ( in(ordered_pair(X5,X6),X1)
& in(X6,X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X0) )
& ( ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) ) ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( relation_rng_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X1)
& in(X4,X0) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qiLTALo4t1/Vampire---4.8_22223',d12_relat_1) ).
fof(f131,plain,
( relation(relation_rng_restriction(sK0,sK1))
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl14_1
<=> relation(relation_rng_restriction(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f146,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f145]) ).
fof(f145,plain,
( $false
| spl14_1 ),
inference(subsumption_resolution,[],[f144,f80]) ).
fof(f144,plain,
( ~ relation(sK1)
| spl14_1 ),
inference(resolution,[],[f132,f82]) ).
fof(f82,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.qiLTALo4t1/Vampire---4.8_22223',dt_k8_relat_1) ).
fof(f132,plain,
( ~ relation(relation_rng_restriction(sK0,sK1))
| spl14_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f143,plain,
( ~ spl14_1
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f138,f140,f130]) ).
fof(f138,plain,
( ~ in(ordered_pair(sK6(relation_rng_restriction(sK0,sK1),sK1),sK7(relation_rng_restriction(sK0,sK1),sK1)),sK1)
| ~ relation(relation_rng_restriction(sK0,sK1)) ),
inference(subsumption_resolution,[],[f126,f80]) ).
fof(f126,plain,
( ~ in(ordered_pair(sK6(relation_rng_restriction(sK0,sK1),sK1),sK7(relation_rng_restriction(sK0,sK1),sK1)),sK1)
| ~ relation(sK1)
| ~ relation(relation_rng_restriction(sK0,sK1)) ),
inference(resolution,[],[f81,f99]) ).
fof(f99,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1)
& in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0) ) )
& ( ! [X4,X5] :
( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X4,X5),X0) )
| ~ subset(X0,X1) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f67,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X2,X3),X0) )
=> ( ~ in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1)
& in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2,X3] :
( ~ in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X2,X3),X0) ) )
& ( ! [X4,X5] :
( in(ordered_pair(X4,X5),X1)
| ~ in(ordered_pair(X4,X5),X0) )
| ~ subset(X0,X1) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2,X3] :
( ~ in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X2,X3),X0) ) )
& ( ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) )
| ~ subset(X0,X1) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X0)
=> in(ordered_pair(X2,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.qiLTALo4t1/Vampire---4.8_22223',d3_relat_1) ).
fof(f81,plain,
~ subset(relation_rng_restriction(sK0,sK1),sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f137,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f128,f134,f130]) ).
fof(f128,plain,
( in(ordered_pair(sK6(relation_rng_restriction(sK0,sK1),sK1),sK7(relation_rng_restriction(sK0,sK1),sK1)),relation_rng_restriction(sK0,sK1))
| ~ relation(relation_rng_restriction(sK0,sK1)) ),
inference(subsumption_resolution,[],[f125,f80]) ).
fof(f125,plain,
( in(ordered_pair(sK6(relation_rng_restriction(sK0,sK1),sK1),sK7(relation_rng_restriction(sK0,sK1),sK1)),relation_rng_restriction(sK0,sK1))
| ~ relation(sK1)
| ~ relation(relation_rng_restriction(sK0,sK1)) ),
inference(resolution,[],[f81,f98]) ).
fof(f98,plain,
! [X0,X1] :
( subset(X0,X1)
| in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SEU199+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 11:05:33 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.qiLTALo4t1/Vampire---4.8_22223
% 0.61/0.82 % (22339)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.82 % (22332)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.82 % (22334)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82 % (22333)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.82 % (22335)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.82 % (22336)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.82 % (22339)First to succeed.
% 0.61/0.82 % (22339)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22331"
% 0.61/0.82 % (22339)Refutation found. Thanks to Tanya!
% 0.61/0.82 % SZS status Theorem for Vampire---4
% 0.61/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82 % (22339)------------------------------
% 0.61/0.82 % (22339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82 % (22339)Termination reason: Refutation
% 0.61/0.82
% 0.61/0.82 % (22339)Memory used [KB]: 1071
% 0.61/0.82 % (22339)Time elapsed: 0.004 s
% 0.61/0.82 % (22339)Instructions burned: 6 (million)
% 0.61/0.82 % (22331)Success in time 0.444 s
% 0.61/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------