TSTP Solution File: GEO275+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO275+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 : 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 05:10:54 EDT 2024
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 132 ( 46 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 146 ( 50 ~; 42 |; 47 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 57 ( 44 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f386,plain,
$false,
inference(trivial_inequality_removal,[],[f374]) ).
fof(f374,plain,
vf(sK2,sK1) != vf(sK2,sK1),
inference(unit_resulting_resolution,[],[f182,f214,f179,f213,f209,f210,f182,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,[],[f186]) ).
fof(f186,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,[],[f143]) ).
fof(f143,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,[],[f142]) ).
fof(f142,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,[],[f124]) ).
fof(f124,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,[],[f107]) ).
fof(f107,axiom,
! [X607,X608,X609,X610,X611] :
( ( ? [X613] :
( rpoint(X613)
& X607 = X613 )
& ? [X612] :
( rpoint(X612)
& X608 = X612 )
& rcenter(X609,X610)
& rcenter(X609,X611)
& ron(X607,X610)
& ron(X608,X611)
& vf(X609,X607) = vf(X609,X608) )
=> X610 = X611 ),
file('/export/starexec/sandbox/tmp/tmp.eJZmbOhlXF/Vampire---4.8_27621','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f210,plain,
ron(sK1,sK0),
inference(definition_unfolding,[],[f176,f181]) ).
fof(f181,plain,
vd1081 = sK1,
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( rpoint(sK1)
& vd1081 = sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f122,f159]) ).
fof(f159,plain,
( ? [X0] :
( rpoint(X0)
& vd1081 = X0 )
=> ( rpoint(sK1)
& vd1081 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
? [X0] :
( rpoint(X0)
& vd1081 = X0 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
? [X1] :
( rpoint(X1)
& vd1081 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.eJZmbOhlXF/Vampire---4.8_27621','qe(s2(plural(224)))') ).
fof(f176,plain,
ron(vd1081,sK0),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( vd1095 != sK0
& rcircle(sK0)
& rcenter(vd1080,sK0)
& ron(vd1081,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f141,f157]) ).
fof(f157,plain,
( ? [X0] :
( vd1095 != X0
& rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) )
=> ( vd1095 != sK0
& rcircle(sK0)
& rcenter(vd1080,sK0)
& ron(vd1081,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
? [X0] :
( vd1095 != X0
& rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
? [X0] :
( vd1095 != X0
& rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) )
=> vd1095 = X0 ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) )
=> vd1095 = X0 ),
file('/export/starexec/sandbox/tmp/tmp.eJZmbOhlXF/Vampire---4.8_27621','qu(theu(the(228), 1), imp(the(228)))') ).
fof(f209,plain,
rcenter(sK2,sK0),
inference(definition_unfolding,[],[f177,f184]) ).
fof(f184,plain,
vd1080 = sK2,
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( rpoint(sK2)
& vd1080 = sK2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f123,f161]) ).
fof(f161,plain,
( ? [X0] :
( rpoint(X0)
& vd1080 = X0 )
=> ( rpoint(sK2)
& vd1080 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
? [X0] :
( rpoint(X0)
& vd1080 = X0 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
? [X2] :
( rpoint(X2)
& vd1080 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.eJZmbOhlXF/Vampire---4.8_27621','qe(s1(plural(224)))') ).
fof(f177,plain,
rcenter(vd1080,sK0),
inference(cnf_transformation,[],[f158]) ).
fof(f213,plain,
rcenter(sK2,vd1095),
inference(definition_unfolding,[],[f198,f184]) ).
fof(f198,plain,
rcenter(vd1080,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( rcircle(vd1095)
& rcenter(vd1080,vd1095)
& ron(vd1081,vd1095) ),
file('/export/starexec/sandbox/tmp/tmp.eJZmbOhlXF/Vampire---4.8_27621','and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))') ).
fof(f179,plain,
vd1095 != sK0,
inference(cnf_transformation,[],[f158]) ).
fof(f214,plain,
ron(sK1,vd1095),
inference(definition_unfolding,[],[f197,f181]) ).
fof(f197,plain,
ron(vd1081,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f182,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.14 % 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
% 0.15/0.35 % Computer : n028.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 22:03:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 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.eJZmbOhlXF/Vampire---4.8_27621
% 0.58/0.74 % (27892)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)
% 0.58/0.74 % (27886)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)
% 0.58/0.74 % (27887)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)
% 0.58/0.74 % (27889)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)
% 0.58/0.74 % (27888)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (27890)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)
% 0.58/0.74 % (27891)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 % (27889)First to succeed.
% 0.58/0.75 % (27889)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27882"
% 0.58/0.76 % (27891)Refutation not found, incomplete strategy% (27891)------------------------------
% 0.58/0.76 % (27891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (27891)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (27891)Memory used [KB]: 1828
% 0.58/0.76 % (27891)Time elapsed: 0.011 s
% 0.58/0.76 % (27891)Instructions burned: 20 (million)
% 0.58/0.76 % (27889)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Theorem for Vampire---4
% 0.58/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76 % (27889)------------------------------
% 0.58/0.76 % (27889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (27889)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (27889)Memory used [KB]: 1508
% 0.58/0.76 % (27889)Time elapsed: 0.010 s
% 0.58/0.76 % (27889)Instructions burned: 14 (million)
% 0.58/0.76 % (27882)Success in time 0.384 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------