TSTP Solution File: SEU196+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU196+2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 09:20:55 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 6 unt; 0 def)
% Number of atoms : 125 ( 9 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 139 ( 56 ~; 52 |; 18 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 51 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1735,plain,
$false,
inference(avatar_sat_refutation,[],[f1691,f1695,f1734]) ).
fof(f1734,plain,
spl59_2,
inference(avatar_contradiction_clause,[],[f1733]) ).
fof(f1733,plain,
( $false
| spl59_2 ),
inference(subsumption_resolution,[],[f1728,f1303]) ).
fof(f1303,plain,
! [X0] : in(relation_dom_restriction(sK7,X0),powerset(sK7)),
inference(resolution,[],[f1151,f611]) ).
fof(f611,plain,
relation(sK7),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK7,sK6)),relation_rng(sK7))
& relation(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f271,f373]) ).
fof(f373,plain,
( ? [X0,X1] :
( ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
& relation(X1) )
=> ( ~ subset(relation_rng(relation_dom_restriction(sK7,sK6)),relation_rng(sK7))
& relation(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f271,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f185]) ).
fof(f185,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(negated_conjecture,[],[f184]) ).
fof(f184,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.jR76ZR3UOc/Vampire---4.8_4971',t99_relat_1) ).
fof(f1151,plain,
! [X0,X1] :
( ~ relation(X0)
| in(relation_dom_restriction(X0,X1),powerset(X0)) ),
inference(resolution,[],[f605,f926]) ).
fof(f926,plain,
! [X3,X0] :
( ~ subset(X3,X0)
| in(X3,powerset(X0)) ),
inference(equality_resolution,[],[f665]) ).
fof(f665,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f409]) ).
fof(f409,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ( ( ~ subset(sK15(X0,X1),X0)
| ~ in(sK15(X0,X1),X1) )
& ( subset(sK15(X0,X1),X0)
| in(sK15(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f407,f408]) ).
fof(f408,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ subset(sK15(X0,X1),X0)
| ~ in(sK15(X0,X1),X1) )
& ( subset(sK15(X0,X1),X0)
| in(sK15(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f407,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f406]) ).
fof(f406,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( powerset(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jR76ZR3UOc/Vampire---4.8_4971',d1_zfmisc_1) ).
fof(f605,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( subset(relation_dom_restriction(X1,X0),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f177]) ).
fof(f177,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom_restriction(X1,X0),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.jR76ZR3UOc/Vampire---4.8_4971',t88_relat_1) ).
fof(f1728,plain,
( ~ in(relation_dom_restriction(sK7,sK6),powerset(sK7))
| spl59_2 ),
inference(resolution,[],[f1690,f927]) ).
fof(f927,plain,
! [X3,X0] :
( subset(X3,X0)
| ~ in(X3,powerset(X0)) ),
inference(equality_resolution,[],[f664]) ).
fof(f664,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f409]) ).
fof(f1690,plain,
( ~ subset(relation_dom_restriction(sK7,sK6),sK7)
| spl59_2 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f1688,plain,
( spl59_2
<=> subset(relation_dom_restriction(sK7,sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_2])]) ).
fof(f1695,plain,
spl59_1,
inference(avatar_contradiction_clause,[],[f1694]) ).
fof(f1694,plain,
( $false
| spl59_1 ),
inference(subsumption_resolution,[],[f1692,f611]) ).
fof(f1692,plain,
( ~ relation(sK7)
| spl59_1 ),
inference(resolution,[],[f1686,f776]) ).
fof(f776,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.jR76ZR3UOc/Vampire---4.8_4971',dt_k7_relat_1) ).
fof(f1686,plain,
( ~ relation(relation_dom_restriction(sK7,sK6))
| spl59_1 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f1684,plain,
( spl59_1
<=> relation(relation_dom_restriction(sK7,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_1])]) ).
fof(f1691,plain,
( ~ spl59_1
| ~ spl59_2 ),
inference(avatar_split_clause,[],[f1682,f1688,f1684]) ).
fof(f1682,plain,
( ~ subset(relation_dom_restriction(sK7,sK6),sK7)
| ~ relation(relation_dom_restriction(sK7,sK6)) ),
inference(subsumption_resolution,[],[f1676,f611]) ).
fof(f1676,plain,
( ~ subset(relation_dom_restriction(sK7,sK6),sK7)
| ~ relation(sK7)
| ~ relation(relation_dom_restriction(sK7,sK6)) ),
inference(resolution,[],[f537,f612]) ).
fof(f612,plain,
~ subset(relation_rng(relation_dom_restriction(sK7,sK6)),relation_rng(sK7)),
inference(cnf_transformation,[],[f374]) ).
fof(f537,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f122]) ).
fof(f122,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jR76ZR3UOc/Vampire---4.8_4971',t25_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU196+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:17:35 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.jR76ZR3UOc/Vampire---4.8_4971
% 0.57/0.74 % (5087)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 (2996ds/56Mi)
% 0.57/0.74 % (5080)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 (2996ds/34Mi)
% 0.57/0.74 % (5082)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (5081)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 (2996ds/51Mi)
% 0.57/0.74 % (5083)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74 % (5084)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 (2996ds/34Mi)
% 0.57/0.74 % (5085)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74 % (5086)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75 % (5087)First to succeed.
% 0.57/0.75 % (5087)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5078"
% 0.57/0.75 % (5083)Instruction limit reached!
% 0.57/0.75 % (5083)------------------------------
% 0.57/0.75 % (5083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (5083)Termination reason: Unknown
% 0.57/0.75 % (5083)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (5083)Memory used [KB]: 1630
% 0.57/0.75 % (5083)Time elapsed: 0.019 s
% 0.57/0.75 % (5083)Instructions burned: 33 (million)
% 0.57/0.75 % (5083)------------------------------
% 0.57/0.75 % (5083)------------------------------
% 0.57/0.76 % (5087)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (5087)------------------------------
% 0.57/0.76 % (5087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (5087)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (5087)Memory used [KB]: 1824
% 0.57/0.76 % (5087)Time elapsed: 0.019 s
% 0.57/0.76 % (5087)Instructions burned: 55 (million)
% 0.57/0.76 % (5078)Success in time 0.378 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------