TSTP Solution File: SEU192+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU192+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 : n028.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 09:20:53 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 62 ( 3 unt; 0 def)
% Number of atoms : 165 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 176 ( 73 ~; 77 |; 6 &)
% ( 13 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 89 ( 84 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f259,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f93,f94,f155,f208,f258]) ).
fof(f258,plain,
( ~ spl13_1
| spl13_3 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| ~ spl13_1
| spl13_3 ),
inference(subsumption_resolution,[],[f253,f159]) ).
fof(f159,plain,
( sP9(sK0,relation_dom_restriction(sK2,sK1))
| ~ spl13_1 ),
inference(unit_resulting_resolution,[],[f95,f83,f78]) ).
fof(f78,plain,
! [X2,X0] :
( ~ in(X2,relation_dom(X0))
| sP9(X2,X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| sP9(X2,X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.T0ApDmwr8M/Vampire---4.8_9494',d4_relat_1) ).
fof(f83,plain,
( in(sK0,relation_dom(relation_dom_restriction(sK2,sK1)))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl13_1
<=> in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f95,plain,
! [X0] : relation(relation_dom_restriction(sK2,X0)),
inference(unit_resulting_resolution,[],[f47,f50]) ).
fof(f50,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.T0ApDmwr8M/Vampire---4.8_9494',dt_k7_relat_1) ).
fof(f47,plain,
relation(sK2),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
? [X0,X1,X2] :
( ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
<~> ( in(X0,relation_dom(X2))
& in(X0,X1) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(X0,X1) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.T0ApDmwr8M/Vampire---4.8_9494',t86_relat_1) ).
fof(f253,plain,
( ~ sP9(sK0,relation_dom_restriction(sK2,sK1))
| spl13_3 ),
inference(resolution,[],[f223,f66]) ).
fof(f66,plain,
! [X2,X0] :
( in(ordered_pair(X2,sK10(X0,X2)),X0)
| ~ sP9(X2,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f223,plain,
( ! [X0] : ~ in(ordered_pair(sK0,X0),relation_dom_restriction(sK2,sK1))
| spl13_3 ),
inference(unit_resulting_resolution,[],[f47,f95,f209,f76]) ).
fof(f76,plain,
! [X3,X0,X1,X4] :
( ~ in(ordered_pair(X3,X4),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| sP5(X4,X3,X1,X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| sP5(X4,X3,X1,X0)
| ~ in(ordered_pair(X3,X4),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_dom_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) ) ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation(X2)
=> ( relation_dom_restriction(X0,X1) = X2
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.T0ApDmwr8M/Vampire---4.8_9494',d11_relat_1) ).
fof(f209,plain,
( ! [X0,X1] : ~ sP5(X0,sK0,sK1,X1)
| spl13_3 ),
inference(unit_resulting_resolution,[],[f91,f52]) ).
fof(f52,plain,
! [X3,X0,X1,X4] :
( ~ sP5(X4,X3,X1,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f91,plain,
( ~ in(sK0,sK1)
| spl13_3 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl13_3
<=> in(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f208,plain,
( ~ spl13_1
| spl13_2 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| ~ spl13_1
| spl13_2 ),
inference(unit_resulting_resolution,[],[f159,f181,f66]) ).
fof(f181,plain,
( ! [X0,X1] : ~ in(ordered_pair(sK0,X0),relation_dom_restriction(sK2,X1))
| spl13_2 ),
inference(unit_resulting_resolution,[],[f47,f95,f175,f76]) ).
fof(f175,plain,
( ! [X0,X1] : ~ sP5(X0,sK0,X1,sK2)
| spl13_2 ),
inference(unit_resulting_resolution,[],[f166,f53]) ).
fof(f53,plain,
! [X3,X0,X1,X4] :
( ~ sP5(X4,X3,X1,X0)
| in(ordered_pair(X3,X4),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f166,plain,
( ! [X0] : ~ in(ordered_pair(sK0,X0),sK2)
| spl13_2 ),
inference(unit_resulting_resolution,[],[f156,f67]) ).
fof(f67,plain,
! [X2,X3,X0] :
( ~ in(ordered_pair(X2,X3),X0)
| sP9(X2,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f156,plain,
( ~ sP9(sK0,sK2)
| spl13_2 ),
inference(unit_resulting_resolution,[],[f47,f86,f79]) ).
fof(f79,plain,
! [X2,X0] :
( in(X2,relation_dom(X0))
| ~ sP9(X2,X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ sP9(X2,X0)
| in(X2,X1)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f86,plain,
( ~ in(sK0,relation_dom(sK2))
| spl13_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl13_2
<=> in(sK0,relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f155,plain,
( spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(subsumption_resolution,[],[f150,f92]) ).
fof(f92,plain,
( in(sK0,sK1)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f150,plain,
( ~ in(sK0,sK1)
| spl13_1
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f114,f143,f51]) ).
fof(f51,plain,
! [X3,X0,X1,X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1)
| sP5(X4,X3,X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f143,plain,
( ! [X0] : ~ sP5(X0,sK0,sK1,sK2)
| spl13_1 ),
inference(unit_resulting_resolution,[],[f47,f95,f124,f77]) ).
fof(f77,plain,
! [X3,X0,X1,X4] :
( in(ordered_pair(X3,X4),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ sP5(X4,X3,X1,X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| ~ sP5(X4,X3,X1,X0)
| in(ordered_pair(X3,X4),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f37]) ).
fof(f124,plain,
( ! [X0] : ~ in(ordered_pair(sK0,X0),relation_dom_restriction(sK2,sK1))
| spl13_1 ),
inference(unit_resulting_resolution,[],[f113,f67]) ).
fof(f113,plain,
( ~ sP9(sK0,relation_dom_restriction(sK2,sK1))
| spl13_1 ),
inference(subsumption_resolution,[],[f112,f95]) ).
fof(f112,plain,
( ~ sP9(sK0,relation_dom_restriction(sK2,sK1))
| ~ relation(relation_dom_restriction(sK2,sK1))
| spl13_1 ),
inference(resolution,[],[f82,f79]) ).
fof(f82,plain,
( ~ in(sK0,relation_dom(relation_dom_restriction(sK2,sK1)))
| spl13_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f114,plain,
( in(ordered_pair(sK0,sK10(sK2,sK0)),sK2)
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f103,f66]) ).
fof(f103,plain,
( sP9(sK0,sK2)
| ~ spl13_2 ),
inference(unit_resulting_resolution,[],[f47,f87,f78]) ).
fof(f87,plain,
( in(sK0,relation_dom(sK2))
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f94,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f44,f90,f85,f81]) ).
fof(f44,plain,
( ~ in(sK0,sK1)
| ~ in(sK0,relation_dom(sK2))
| ~ in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) ),
inference(cnf_transformation,[],[f33]) ).
fof(f93,plain,
( spl13_1
| spl13_3 ),
inference(avatar_split_clause,[],[f45,f90,f81]) ).
fof(f45,plain,
( in(sK0,sK1)
| in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) ),
inference(cnf_transformation,[],[f33]) ).
fof(f88,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f46,f85,f81]) ).
fof(f46,plain,
( in(sK0,relation_dom(sK2))
| in(sK0,relation_dom(relation_dom_restriction(sK2,sK1))) ),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU192+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.15 % 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
% 0.15/0.36 % Computer : n028.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 : Fri May 3 11:49:18 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.21/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.21/0.36 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.T0ApDmwr8M/Vampire---4.8_9494
% 0.58/0.75 % (9759)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)
% 0.58/0.75 % (9753)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)
% 0.58/0.75 % (9755)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (9756)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)
% 0.58/0.75 % (9754)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)
% 0.58/0.75 % (9757)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)
% 0.58/0.75 % (9758)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)
% 0.58/0.75 % (9758)Refutation not found, incomplete strategy% (9758)------------------------------
% 0.58/0.75 % (9758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (9758)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (9758)Memory used [KB]: 1045
% 0.58/0.75 % (9758)Time elapsed: 0.004 s
% 0.58/0.75 % (9758)Instructions burned: 4 (million)
% 0.58/0.75 % (9757)Refutation not found, incomplete strategy% (9757)------------------------------
% 0.58/0.75 % (9757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (9757)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (9757)Memory used [KB]: 1053
% 0.58/0.75 % (9757)Time elapsed: 0.004 s
% 0.58/0.75 % (9757)Instructions burned: 4 (million)
% 0.58/0.75 % (9758)------------------------------
% 0.58/0.75 % (9758)------------------------------
% 0.58/0.75 % (9757)------------------------------
% 0.58/0.75 % (9757)------------------------------
% 0.58/0.75 % (9759)First to succeed.
% 0.58/0.75 % (9759)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9749"
% 0.58/0.75 % (9759)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (9759)------------------------------
% 0.58/0.75 % (9759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (9759)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (9759)Memory used [KB]: 1097
% 0.58/0.75 % (9759)Time elapsed: 0.006 s
% 0.58/0.75 % (9759)Instructions burned: 12 (million)
% 0.58/0.75 % (9749)Success in time 0.38 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------