TSTP Solution File: GEO278+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO278+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n002.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 02:23:23 EDT 2024
% Result : Theorem 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 107 ( 34 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 134 ( 50 ~; 42 |; 37 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 44 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f410,plain,
$false,
inference(trivial_inequality_removal,[],[f392]) ).
fof(f392,plain,
vf(vd1089,vd1096) != vf(vd1089,vd1096),
inference(unit_resulting_resolution,[],[f185,f198,f184,f199,f182,f181,f185,f216]) ).
fof(f216,plain,
! [X2,X3,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X6,X4)
| vf(X2,X5) != vf(X2,X6) ),
inference(equality_resolution,[],[f215]) ).
fof(f215,plain,
! [X2,X3,X1,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X1,X4)
| vf(X2,X1) != vf(X2,X5) ),
inference(equality_resolution,[],[f194]) ).
fof(f194,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X3 = X4
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X1,X4)
| vf(X2,X0) != vf(X2,X1) ),
inference(ennf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& rcenter(X2,X3)
& rcenter(X2,X4)
& ron(X0,X3)
& ron(X1,X4)
& vf(X2,X0) = vf(X2,X1) )
=> X3 = X4 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X104,X105,X106,X107,X108] :
( ( ? [X110] :
( rpoint(X110)
& X104 = X110 )
& ? [X109] :
( rpoint(X109)
& X105 = X109 )
& rcenter(X106,X107)
& rcenter(X106,X108)
& ron(X104,X107)
& ron(X105,X108)
& vf(X106,X104) = vf(X106,X105) )
=> X107 = X108 ),
file('/export/starexec/sandbox/tmp/tmp.92Ce6NYFKZ/Vampire---4.8_9199','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f181,plain,
ron(vd1096,sK0),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( vd1102 != sK0
& rcircle(sK0)
& rcenter(vd1089,sK0)
& ron(vd1096,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f150,f166]) ).
fof(f166,plain,
( ? [X0] :
( vd1102 != X0
& rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) )
=> ( vd1102 != sK0
& rcircle(sK0)
& rcenter(vd1089,sK0)
& ron(vd1096,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
? [X0] :
( vd1102 != X0
& rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
? [X0] :
( vd1102 != X0
& rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) )
=> vd1102 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( rcircle(X0)
& rcenter(vd1089,X0)
& ron(vd1096,X0) )
=> vd1102 = X0 ),
file('/export/starexec/sandbox/tmp/tmp.92Ce6NYFKZ/Vampire---4.8_9199','qu(theu(the(231), 1), imp(the(231)))') ).
fof(f182,plain,
rcenter(vd1089,sK0),
inference(cnf_transformation,[],[f167]) ).
fof(f199,plain,
rcenter(vd1089,vd1102),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( rcircle(vd1102)
& rcenter(vd1089,vd1102)
& ron(vd1096,vd1102) ),
file('/export/starexec/sandbox/tmp/tmp.92Ce6NYFKZ/Vampire---4.8_9199','and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))') ).
fof(f184,plain,
vd1102 != sK0,
inference(cnf_transformation,[],[f167]) ).
fof(f198,plain,
ron(vd1096,vd1102),
inference(cnf_transformation,[],[f3]) ).
fof(f185,plain,
rpoint(vd1096),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
rpoint(vd1096),
file('/export/starexec/sandbox/tmp/tmp.92Ce6NYFKZ/Vampire---4.8_9199','pred(229, 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO278+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.12 % 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
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 19:18:10 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.92Ce6NYFKZ/Vampire---4.8_9199
% 0.60/0.81 % (9315)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (9316)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)
% 0.60/0.81 % (9317)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)
% 0.60/0.81 % (9314)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)
% 0.60/0.81 % (9318)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81 % (9319)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 (2995ds/83Mi)
% 0.60/0.82 % (9320)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)
% 0.60/0.82 % (9313)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)
% 0.60/0.82 % (9316)First to succeed.
% 0.60/0.82 % (9318)Refutation not found, incomplete strategy% (9318)------------------------------
% 0.60/0.82 % (9318)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (9318)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (9318)Memory used [KB]: 1827
% 0.60/0.82 % (9318)Time elapsed: 0.010 s
% 0.60/0.82 % (9318)Instructions burned: 20 (million)
% 0.60/0.82 % (9318)------------------------------
% 0.60/0.82 % (9318)------------------------------
% 0.60/0.82 % (9316)Refutation found. Thanks to Tanya!
% 0.60/0.82 % SZS status Theorem for Vampire---4
% 0.60/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82 % (9316)------------------------------
% 0.60/0.82 % (9316)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (9316)Termination reason: Refutation
% 0.60/0.82
% 0.60/0.82 % (9316)Memory used [KB]: 1511
% 0.60/0.82 % (9316)Time elapsed: 0.010 s
% 0.60/0.82 % (9316)Instructions burned: 16 (million)
% 0.60/0.82 % (9316)------------------------------
% 0.60/0.82 % (9316)------------------------------
% 0.60/0.82 % (9308)Success in time 0.489 s
% 0.60/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------