TSTP Solution File: SEU245+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU245+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 : n023.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 : Wed May 1 03:51:07 EDT 2024
% Result : Theorem 0.80s 0.96s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 5 unt; 0 def)
% Number of atoms : 119 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 116 ( 48 ~; 52 |; 5 &)
% ( 7 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 49 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f286,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f76,f77,f144,f241,f285]) ).
fof(f285,plain,
( ~ spl9_1
| spl9_3 ),
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| ~ spl9_1
| spl9_3 ),
inference(unit_resulting_resolution,[],[f151,f265,f49]) ).
fof(f49,plain,
! [X3,X0,X1] :
( ~ sP6(X3,X1,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zLA3ysLbUn/Vampire---4.8_4995',d3_xboole_0) ).
fof(f265,plain,
( ! [X0] : ~ in(sK0,relation_restriction(sK2,X0))
| spl9_3 ),
inference(superposition,[],[f254,f79]) ).
fof(f79,plain,
! [X0] : relation_restriction(sK2,X0) = set_intersection2(sK2,cartesian_product2(X0,X0)),
inference(unit_resulting_resolution,[],[f41,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ relation(X0)
| relation_restriction(X0,X1) = set_intersection2(X0,cartesian_product2(X1,X1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] : relation_restriction(X0,X1) = set_intersection2(X0,cartesian_product2(X1,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( relation(X0)
=> ! [X1] : relation_restriction(X0,X1) = set_intersection2(X0,cartesian_product2(X1,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.zLA3ysLbUn/Vampire---4.8_4995',d6_wellord1) ).
fof(f41,plain,
relation(sK2),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
? [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<~> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zLA3ysLbUn/Vampire---4.8_4995',t16_wellord1) ).
fof(f254,plain,
( ! [X0] : ~ in(sK0,set_intersection2(sK2,X0))
| spl9_3 ),
inference(unit_resulting_resolution,[],[f242,f61]) ).
fof(f61,plain,
! [X3,X0,X1] :
( ~ in(X3,set_intersection2(X0,X1))
| sP6(X3,X1,X0) ),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( sP6(X3,X1,X0)
| ~ in(X3,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f27]) ).
fof(f242,plain,
( ! [X0] : ~ sP6(sK0,X0,sK2)
| spl9_3 ),
inference(unit_resulting_resolution,[],[f74,f48]) ).
fof(f48,plain,
! [X3,X0,X1] :
( ~ sP6(X3,X1,X0)
| in(X3,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f74,plain,
( ~ in(sK0,sK2)
| spl9_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl9_3
<=> in(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f151,plain,
( sP6(sK0,relation_restriction(sK2,sK1),relation_restriction(sK2,sK1))
| ~ spl9_1 ),
inference(unit_resulting_resolution,[],[f66,f66,f47]) ).
fof(f47,plain,
! [X3,X0,X1] :
( sP6(X3,X1,X0)
| ~ in(X3,X1)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f66,plain,
( in(sK0,relation_restriction(sK2,sK1))
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl9_1
<=> in(sK0,relation_restriction(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f241,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_contradiction_clause,[],[f240]) ).
fof(f240,plain,
( $false
| ~ spl9_1
| spl9_2 ),
inference(subsumption_resolution,[],[f239,f66]) ).
fof(f239,plain,
( ~ in(sK0,relation_restriction(sK2,sK1))
| spl9_2 ),
inference(superposition,[],[f173,f79]) ).
fof(f173,plain,
( ! [X0] : ~ in(sK0,set_intersection2(X0,cartesian_product2(sK1,sK1)))
| spl9_2 ),
inference(unit_resulting_resolution,[],[f155,f61]) ).
fof(f155,plain,
( ! [X0] : ~ sP6(sK0,cartesian_product2(sK1,sK1),X0)
| spl9_2 ),
inference(unit_resulting_resolution,[],[f69,f49]) ).
fof(f69,plain,
( ~ in(sK0,cartesian_product2(sK1,sK1))
| spl9_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl9_2
<=> in(sK0,cartesian_product2(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f144,plain,
( spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(avatar_contradiction_clause,[],[f143]) ).
fof(f143,plain,
( $false
| spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(subsumption_resolution,[],[f142,f65]) ).
fof(f65,plain,
( ~ in(sK0,relation_restriction(sK2,sK1))
| spl9_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f142,plain,
( in(sK0,relation_restriction(sK2,sK1))
| ~ spl9_2
| ~ spl9_3 ),
inference(forward_demodulation,[],[f141,f79]) ).
fof(f141,plain,
( in(sK0,set_intersection2(sK2,cartesian_product2(sK1,sK1)))
| ~ spl9_2
| ~ spl9_3 ),
inference(forward_demodulation,[],[f138,f60]) ).
fof(f60,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.zLA3ysLbUn/Vampire---4.8_4995',commutativity_k3_xboole_0) ).
fof(f138,plain,
( in(sK0,set_intersection2(cartesian_product2(sK1,sK1),sK2))
| ~ spl9_2
| ~ spl9_3 ),
inference(unit_resulting_resolution,[],[f108,f62]) ).
fof(f62,plain,
! [X3,X0,X1] :
( in(X3,set_intersection2(X0,X1))
| ~ sP6(X3,X1,X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X3,X1,X0)
| in(X3,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f27]) ).
fof(f108,plain,
( sP6(sK0,sK2,cartesian_product2(sK1,sK1))
| ~ spl9_2
| ~ spl9_3 ),
inference(unit_resulting_resolution,[],[f75,f70,f47]) ).
fof(f70,plain,
( in(sK0,cartesian_product2(sK1,sK1))
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f75,plain,
( in(sK0,sK2)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f38,f73,f68,f64]) ).
fof(f38,plain,
( ~ in(sK0,sK2)
| ~ in(sK0,cartesian_product2(sK1,sK1))
| ~ in(sK0,relation_restriction(sK2,sK1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f76,plain,
( spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f39,f73,f64]) ).
fof(f39,plain,
( in(sK0,sK2)
| in(sK0,relation_restriction(sK2,sK1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f71,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f40,f68,f64]) ).
fof(f40,plain,
( in(sK0,cartesian_product2(sK1,sK1))
| in(sK0,relation_restriction(sK2,sK1)) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU245+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % 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 : n023.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 : Tue Apr 30 16:32:25 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.zLA3ysLbUn/Vampire---4.8_4995
% 0.80/0.95 % (5318)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.80/0.95 % (5316)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 (2994ds/34Mi)
% 0.80/0.95 % (5317)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 (2994ds/51Mi)
% 0.80/0.95 % (5319)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.80/0.95 % (5320)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 (2994ds/34Mi)
% 0.80/0.95 % (5321)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.80/0.95 % (5323)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 (2994ds/56Mi)
% 0.80/0.95 % (5322)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 (2994ds/83Mi)
% 0.80/0.95 % (5323)Refutation not found, incomplete strategy% (5323)------------------------------
% 0.80/0.95 % (5323)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.95 % (5323)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.95
% 0.80/0.95 % (5323)Memory used [KB]: 976
% 0.80/0.95 % (5323)Time elapsed: 0.003 s
% 0.80/0.95 % (5323)Instructions burned: 3 (million)
% 0.80/0.95 % (5323)------------------------------
% 0.80/0.95 % (5323)------------------------------
% 0.80/0.95 % (5321)Refutation not found, incomplete strategy% (5321)------------------------------
% 0.80/0.95 % (5321)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.95 % (5321)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.95 % (5320)Refutation not found, incomplete strategy% (5320)------------------------------
% 0.80/0.95 % (5320)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.95 % (5320)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.95
% 0.80/0.95 % (5320)Memory used [KB]: 1048
% 0.80/0.95 % (5320)Time elapsed: 0.003 s
% 0.80/0.95 % (5320)Instructions burned: 3 (million)
% 0.80/0.95 % (5320)------------------------------
% 0.80/0.95 % (5320)------------------------------
% 0.80/0.95
% 0.80/0.95 % (5321)Memory used [KB]: 976
% 0.80/0.95 % (5321)Time elapsed: 0.003 s
% 0.80/0.95 % (5321)Instructions burned: 3 (million)
% 0.80/0.95 % (5321)------------------------------
% 0.80/0.95 % (5321)------------------------------
% 0.80/0.96 % (5324)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.80/0.96 % (5326)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.80/0.96 % (5325)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.80/0.96 % (5322)First to succeed.
% 0.80/0.96 % (5318)Also succeeded, but the first one will report.
% 0.80/0.96 % (5322)Refutation found. Thanks to Tanya!
% 0.80/0.96 % SZS status Theorem for Vampire---4
% 0.80/0.96 % SZS output start Proof for Vampire---4
% See solution above
% 0.80/0.96 % (5322)------------------------------
% 0.80/0.96 % (5322)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.96 % (5322)Termination reason: Refutation
% 0.80/0.96
% 0.80/0.96 % (5322)Memory used [KB]: 1082
% 0.80/0.96 % (5322)Time elapsed: 0.008 s
% 0.80/0.96 % (5322)Instructions burned: 10 (million)
% 0.80/0.96 % (5322)------------------------------
% 0.80/0.96 % (5322)------------------------------
% 0.80/0.96 % (5247)Success in time 0.592 s
% 0.80/0.96 % Vampire---4.8 exiting
%------------------------------------------------------------------------------