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 : n012.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 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 17 unt; 0 def)
% Number of atoms : 190 ( 46 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 234 ( 98 ~; 79 |; 47 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 76 ( 63 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1207,plain,
$false,
inference(avatar_sat_refutation,[],[f1172,f1175,f1198]) ).
fof(f1198,plain,
~ spl38_20,
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1197,plain,
( $false
| ~ spl38_20 ),
inference(subsumption_resolution,[],[f1196,f538]) ).
fof(f538,plain,
ron(sK1,vd1095),
inference(definition_unfolding,[],[f405,f379]) ).
fof(f379,plain,
vd1081 = sK1,
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( rpoint(sK1)
& vd1081 = sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f122,f297]) ).
fof(f297,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.ibcqVF1sVe/Vampire---4.8_26637','qe(s2(plural(224)))') ).
fof(f405,plain,
ron(vd1081,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( rcircle(vd1095)
& rcenter(vd1080,vd1095)
& ron(vd1081,vd1095) ),
file('/export/starexec/sandbox/tmp/tmp.ibcqVF1sVe/Vampire---4.8_26637','and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))') ).
fof(f1196,plain,
( ~ ron(sK1,vd1095)
| ~ spl38_20 ),
inference(subsumption_resolution,[],[f1186,f380]) ).
fof(f380,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f298]) ).
fof(f1186,plain,
( ~ rpoint(sK1)
| ~ ron(sK1,vd1095)
| ~ spl38_20 ),
inference(resolution,[],[f1171,f534]) ).
fof(f534,plain,
ron(sK1,sK0),
inference(definition_unfolding,[],[f374,f379]) ).
fof(f374,plain,
ron(vd1081,sK0),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
( vd1095 != sK0
& rcircle(sK0)
& rcenter(vd1080,sK0)
& ron(vd1081,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f182,f295]) ).
fof(f295,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(f182,plain,
? [X0] :
( vd1095 != X0
& rcircle(X0)
& rcenter(vd1080,X0)
& ron(vd1081,X0) ),
inference(flattening,[],[f181]) ).
fof(f181,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.ibcqVF1sVe/Vampire---4.8_26637','qu(theu(the(228), 1), imp(the(228)))') ).
fof(f1171,plain,
( ! [X0] :
( ~ ron(X0,sK0)
| ~ rpoint(X0)
| ~ ron(X0,vd1095) )
| ~ spl38_20 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1170,plain,
( spl38_20
<=> ! [X0] :
( ~ rpoint(X0)
| ~ ron(X0,sK0)
| ~ ron(X0,vd1095) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_20])]) ).
fof(f1175,plain,
~ spl38_19,
inference(avatar_contradiction_clause,[],[f1174]) ).
fof(f1174,plain,
( $false
| ~ spl38_19 ),
inference(subsumption_resolution,[],[f1173,f537]) ).
fof(f537,plain,
rcenter(sK2,vd1095),
inference(definition_unfolding,[],[f406,f382]) ).
fof(f382,plain,
vd1080 = sK2,
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
( rpoint(sK2)
& vd1080 = sK2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f123,f299]) ).
fof(f299,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.ibcqVF1sVe/Vampire---4.8_26637','qe(s1(plural(224)))') ).
fof(f406,plain,
rcenter(vd1080,vd1095),
inference(cnf_transformation,[],[f3]) ).
fof(f1173,plain,
( ~ rcenter(sK2,vd1095)
| ~ spl38_19 ),
inference(resolution,[],[f1168,f533]) ).
fof(f533,plain,
rcenter(sK2,sK0),
inference(definition_unfolding,[],[f375,f382]) ).
fof(f375,plain,
rcenter(vd1080,sK0),
inference(cnf_transformation,[],[f296]) ).
fof(f1168,plain,
( ! [X1] :
( ~ rcenter(X1,sK0)
| ~ rcenter(X1,vd1095) )
| ~ spl38_19 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f1167,plain,
( spl38_19
<=> ! [X1] :
( ~ rcenter(X1,vd1095)
| ~ rcenter(X1,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_19])]) ).
fof(f1172,plain,
( spl38_19
| spl38_20 ),
inference(avatar_split_clause,[],[f1163,f1170,f1167]) ).
fof(f1163,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rcenter(X1,vd1095)
| ~ rcenter(X1,sK0)
| ~ ron(X0,vd1095)
| ~ ron(X0,sK0) ),
inference(duplicate_literal_removal,[],[f1146]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rcenter(X1,vd1095)
| ~ rcenter(X1,sK0)
| ~ ron(X0,vd1095)
| ~ ron(X0,sK0)
| ~ rpoint(X0) ),
inference(resolution,[],[f1015,f1002]) ).
fof(f1002,plain,
! [X0] : sQ37_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f947]) ).
fof(f947,plain,
! [X0,X1] :
( sQ37_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ37_eqProxy])]) ).
fof(f1015,plain,
! [X2,X0,X1] :
( ~ sQ37_eqProxy(vf(X2,X0),vf(X2,X1))
| ~ rpoint(X1)
| ~ rcenter(X2,vd1095)
| ~ rcenter(X2,sK0)
| ~ ron(X0,vd1095)
| ~ ron(X1,sK0)
| ~ rpoint(X0) ),
inference(resolution,[],[f948,f951]) ).
fof(f951,plain,
! [X2,X3,X6,X4,X5] :
( sQ37_eqProxy(X3,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rcenter(X2,X3)
| ~ rcenter(X2,X4)
| ~ ron(X5,X3)
| ~ ron(X6,X4)
| ~ sQ37_eqProxy(vf(X2,X5),vf(X2,X6)) ),
inference(equality_proxy_replacement,[],[f543,f947,f947]) ).
fof(f543,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,[],[f542]) ).
fof(f542,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,[],[f384]) ).
fof(f384,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,[],[f184]) ).
fof(f184,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,[],[f183]) ).
fof(f183,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.ibcqVF1sVe/Vampire---4.8_26637','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f948,plain,
~ sQ37_eqProxy(vd1095,sK0),
inference(equality_proxy_replacement,[],[f377,f947]) ).
fof(f377,plain,
vd1095 != sK0,
inference(cnf_transformation,[],[f296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO275+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.15 % 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 : n012.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 18:50:41 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.ibcqVF1sVe/Vampire---4.8_26637
% 0.58/0.74 % (26896)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 % (26890)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 % (26891)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 % (26892)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 % (26895)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)
% 0.58/0.74 % (26897)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)
% 0.58/0.74 % (26894)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 % (26895)Refutation not found, incomplete strategy% (26895)------------------------------
% 0.58/0.75 % (26895)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (26895)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (26895)Memory used [KB]: 1828
% 0.58/0.75 % (26895)Time elapsed: 0.011 s
% 0.58/0.75 % (26895)Instructions burned: 20 (million)
% 0.58/0.75 % (26895)------------------------------
% 0.58/0.75 % (26895)------------------------------
% 0.58/0.76 % (26893)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)
% 0.58/0.76 % (26897)First to succeed.
% 0.58/0.76 % (26898)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 (2996ds/55Mi)
% 0.58/0.76 % (26897)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 % (26897)------------------------------
% 0.58/0.76 % (26897)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (26897)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (26897)Memory used [KB]: 1892
% 0.58/0.76 % (26897)Time elapsed: 0.016 s
% 0.58/0.76 % (26897)Instructions burned: 29 (million)
% 0.58/0.76 % (26897)------------------------------
% 0.58/0.76 % (26897)------------------------------
% 0.58/0.76 % (26886)Success in time 0.384 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------