%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR112+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:43:10 AM UTC 2026
% Result : Theorem 10.67s 2.99s
% Output : Refutation 12.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 79 ( 24 unt; 9 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 166 ( 4 avg)
% Number of connectives : 405 ( 110 ~; 93 |; 191 &)
% ( 9 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 166 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 10 prp; 0-9 aty)
% Number of functors : 51 ( 51 usr; 49 con; 0-2 aty)
% Number of variables : 90 ( 0 sgn 71 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_first) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X0,X2)
=> member(X0,cons(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_second) ).
fof(f159,axiom,
! [X0,X1,X2] :
( ( attr(X2,X0)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& sub(X0,X1) )
=> ? [X3] :
( arg1(X3,X2)
& arg2(X3,X2)
& subs(X3,hei__337en_1_1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',attr_name_hei__337en_1_1) ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( arg1(X4,X5)
& arg2(X4,X0)
& attr(X7,X6)
& pred(X2,linie_1_1)
& pred(X3,u1_1_1)
& sub(X1,bahn_1_1)
& sub(X6,name_1_1)
& subs(X4,hei__337en_1_1)
& val(X6,u2_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',synth_qa07_001_qapn_4) ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( arg1(X4,X5)
& arg2(X4,X0)
& attr(X7,X6)
& pred(X2,linie_1_1)
& pred(X3,u1_1_1)
& sub(X1,bahn_1_1)
& sub(X6,name_1_1)
& subs(X4,hei__337en_1_1)
& val(X6,u2_0) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,axiom,
( sub(c5909,bahn_1_1)
& pred(c5910,linie_1_1)
& pred(c5912,u1_1_1)
& attr(c5919,c5920)
& sub(c5919,einrichtung_1_2)
& sub(c5920,name_1_1)
& val(c5920,u2_0)
& pred(c5921,u3_1_1)
& sub(c5932,abstand_1_1)
& pred(c5937,minute_1_1)
& tupl_p9(c6138,c5901,c5909,c5910,c5912,c5919,c5921,c5932,c5937)
& sort(c5909,io)
& card(c5909,int1)
& etype(c5909,int0)
& fact(c5909,real)
& gener(c5909,gener_c)
& quant(c5909,one)
& refer(c5909,refer_c)
& varia(c5909,varia_c)
& sort(bahn_1_1,io)
& card(bahn_1_1,int1)
& etype(bahn_1_1,int0)
& fact(bahn_1_1,real)
& gener(bahn_1_1,ge)
& quant(bahn_1_1,one)
& refer(bahn_1_1,refer_c)
& varia(bahn_1_1,varia_c)
& sort(c5910,d)
& sort(c5910,io)
& card(c5910,cons(x_constant,cons(int1,nil)))
& etype(c5910,int1)
& fact(c5910,real)
& gener(c5910,gener_c)
& quant(c5910,mult)
& refer(c5910,indet)
& varia(c5910,varia_c)
& sort(linie_1_1,d)
& sort(linie_1_1,io)
& card(linie_1_1,int1)
& etype(linie_1_1,int0)
& fact(linie_1_1,real)
& gener(linie_1_1,ge)
& quant(linie_1_1,one)
& refer(linie_1_1,refer_c)
& varia(linie_1_1,varia_c)
& sort(c5912,o)
& card(c5912,cons(x_constant,cons(int1,nil)))
& etype(c5912,int1)
& fact(c5912,real)
& gener(c5912,gener_c)
& quant(c5912,mult)
& refer(c5912,indet)
& varia(c5912,varia_c)
& sort(u1_1_1,o)
& card(u1_1_1,int1)
& etype(u1_1_1,int0)
& fact(u1_1_1,real)
& gener(u1_1_1,ge)
& quant(u1_1_1,one)
& refer(u1_1_1,refer_c)
& varia(u1_1_1,varia_c)
& sort(c5919,d)
& sort(c5919,io)
& card(c5919,int1)
& etype(c5919,int1)
& fact(c5919,real)
& gener(c5919,sp)
& quant(c5919,one)
& refer(c5919,det)
& varia(c5919,con)
& sort(c5920,na)
& card(c5920,int1)
& etype(c5920,int0)
& fact(c5920,real)
& gener(c5920,sp)
& quant(c5920,one)
& refer(c5920,indet)
& varia(c5920,varia_c)
& sort(einrichtung_1_2,d)
& sort(einrichtung_1_2,io)
& card(einrichtung_1_2,card_c)
& etype(einrichtung_1_2,int1)
& fact(einrichtung_1_2,real)
& gener(einrichtung_1_2,ge)
& quant(einrichtung_1_2,quant_c)
& refer(einrichtung_1_2,refer_c)
& varia(einrichtung_1_2,varia_c)
& sort(name_1_1,na)
& card(name_1_1,int1)
& etype(name_1_1,int0)
& fact(name_1_1,real)
& gener(name_1_1,ge)
& quant(name_1_1,one)
& refer(name_1_1,refer_c)
& varia(name_1_1,varia_c)
& sort(u2_0,fe)
& sort(c5921,o)
& card(c5921,cons(x_constant,cons(int1,nil)))
& etype(c5921,int1)
& fact(c5921,real)
& gener(c5921,gener_c)
& quant(c5921,mult)
& refer(c5921,indet)
& varia(c5921,varia_c)
& sort(u3_1_1,o)
& card(u3_1_1,int1)
& etype(u3_1_1,int0)
& fact(u3_1_1,real)
& gener(u3_1_1,ge)
& quant(u3_1_1,one)
& refer(u3_1_1,refer_c)
& varia(u3_1_1,varia_c)
& sort(c5932,io)
& sort(c5932,na)
& card(c5932,int1)
& etype(c5932,int0)
& fact(c5932,real)
& gener(c5932,sp)
& quant(c5932,one)
& refer(c5932,det)
& varia(c5932,con)
& sort(abstand_1_1,io)
& sort(abstand_1_1,na)
& card(abstand_1_1,int1)
& etype(abstand_1_1,int0)
& fact(abstand_1_1,real)
& gener(abstand_1_1,ge)
& quant(abstand_1_1,one)
& refer(abstand_1_1,refer_c)
& varia(abstand_1_1,varia_c)
& sort(c5937,me)
& sort(c5937,oa)
& sort(c5937,ta)
& card(c5937,card_c)
& etype(c5937,etype_c)
& fact(c5937,real)
& gener(c5937,gener_c)
& quant(c5937,quant_c)
& refer(c5937,refer_c)
& varia(c5937,varia_c)
& sort(minute_1_1,me)
& sort(minute_1_1,oa)
& sort(minute_1_1,ta)
& card(minute_1_1,card_c)
& etype(minute_1_1,etype_c)
& fact(minute_1_1,real)
& gener(minute_1_1,ge)
& quant(minute_1_1,quant_c)
& refer(minute_1_1,refer_c)
& varia(minute_1_1,varia_c)
& sort(c6138,ent)
& card(c6138,card_c)
& etype(c6138,etype_c)
& fact(c6138,real)
& gener(c6138,gener_c)
& quant(c6138,quant_c)
& refer(c6138,refer_c)
& varia(c6138,varia_c)
& sort(c5901,o)
& card(c5901,int1)
& etype(c5901,int0)
& fact(c5901,real)
& gener(c5901,sp)
& quant(c5901,one)
& refer(c5901,det)
& varia(c5901,varia_c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ave07_era5_synth_qa07_001_qapn_4) ).
fof(f10191,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ arg1(X4,X5)
| ~ arg2(X4,X0)
| ~ attr(X7,X6)
| ~ pred(X2,linie_1_1)
| ~ pred(X3,u1_1_1)
| ~ sub(X1,bahn_1_1)
| ~ sub(X6,name_1_1)
| ~ subs(X4,hei__337en_1_1)
| ~ val(X6,u2_0) ),
inference(ennf_transformation,[],[f10189]) ).
fof(f10211,plain,
! [X0,X1,X2] :
( ? [X3] :
( arg1(X3,X2)
& arg2(X3,X2)
& subs(X3,hei__337en_1_1) )
| ~ attr(X2,X0)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X0,X1) ),
inference(ennf_transformation,[],[f159]) ).
fof(f10212,plain,
! [X0,X1,X2] :
( ? [X3] :
( arg1(X3,X2)
& arg2(X3,X2)
& subs(X3,hei__337en_1_1) )
| ~ attr(X2,X0)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X0,X1) ),
inference(flattening,[],[f10211]) ).
fof(f10231,plain,
! [X0,X1,X2] :
( member(X0,cons(X1,X2))
| ~ member(X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f10410,plain,
! [X0,X1,X2] :
( ( arg1(sK9(X2),X2)
& arg2(sK9(X2),X2)
& subs(sK9(X2),hei__337en_1_1) )
| ~ attr(X2,X0)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X2))],[f10212]) ).
fof(f10448,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ arg1(X4,X5)
| ~ arg2(X4,X0)
| ~ attr(X7,X6)
| ~ pred(X2,linie_1_1)
| ~ pred(X3,u1_1_1)
| ~ sub(X1,bahn_1_1)
| ~ sub(X6,name_1_1)
| ~ subs(X4,hei__337en_1_1)
| ~ val(X6,u2_0) ),
inference(cnf_transformation,[],[f10191]) ).
fof(f10608,plain,
val(c5920,u2_0),
inference(cnf_transformation,[],[f10190]) ).
fof(f10609,plain,
sub(c5920,name_1_1),
inference(cnf_transformation,[],[f10190]) ).
fof(f10611,plain,
attr(c5919,c5920),
inference(cnf_transformation,[],[f10190]) ).
fof(f10612,plain,
pred(c5912,u1_1_1),
inference(cnf_transformation,[],[f10190]) ).
fof(f10613,plain,
pred(c5910,linie_1_1),
inference(cnf_transformation,[],[f10190]) ).
fof(f10614,plain,
sub(c5909,bahn_1_1),
inference(cnf_transformation,[],[f10190]) ).
fof(f10643,plain,
! [X2,X0,X1] :
( ~ attr(X2,X0)
| subs(sK9(X2),hei__337en_1_1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X0,X1) ),
inference(cnf_transformation,[],[f10410]) ).
fof(f10644,plain,
! [X2,X0,X1] :
( ~ attr(X2,X0)
| arg2(sK9(X2),X2)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X0,X1) ),
inference(cnf_transformation,[],[f10410]) ).
fof(f10645,plain,
! [X2,X0,X1] :
( ~ attr(X2,X0)
| arg1(sK9(X2),X2)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(X0,X1) ),
inference(cnf_transformation,[],[f10410]) ).
fof(f10683,plain,
! [X2,X0,X1] :
( member(X0,cons(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f10231]) ).
fof(f10684,plain,
! [X0,X1] : member(X0,cons(X0,X1)),
inference(cnf_transformation,[],[f1]) ).
fof(f11072,definition,
( spl59_1
<=> ! [X1] : ~ sub(X1,bahn_1_1) ),
introduced(definition,[new_symbols(definition,[spl59_1])],[avatar_definition]) ).
fof(f11073,plain,
( ! [X1] : ~ sub(X1,bahn_1_1)
| ~ spl59_1 ),
inference(avatar_component_clause,[],[f11072]) ).
fof(f11075,definition,
( spl59_2
<=> ! [X3] : ~ pred(X3,u1_1_1) ),
introduced(definition,[new_symbols(definition,[spl59_2])],[avatar_definition]) ).
fof(f11076,plain,
( ! [X3] : ~ pred(X3,u1_1_1)
| ~ spl59_2 ),
inference(avatar_component_clause,[],[f11075]) ).
fof(f11078,definition,
( spl59_3
<=> ! [X2] : ~ pred(X2,linie_1_1) ),
introduced(definition,[new_symbols(definition,[spl59_3])],[avatar_definition]) ).
fof(f11079,plain,
( ! [X2] : ~ pred(X2,linie_1_1)
| ~ spl59_3 ),
inference(avatar_component_clause,[],[f11078]) ).
fof(f11081,definition,
( spl59_4
<=> ! [X6,X7] :
( ~ attr(X7,X6)
| ~ val(X6,u2_0)
| ~ sub(X6,name_1_1) ) ),
introduced(definition,[new_symbols(definition,[spl59_4])],[avatar_definition]) ).
fof(f11082,plain,
( ! [X6,X7] :
( ~ val(X6,u2_0)
| ~ attr(X7,X6)
| ~ sub(X6,name_1_1) )
| ~ spl59_4 ),
inference(avatar_component_clause,[],[f11081]) ).
fof(f11084,definition,
( spl59_5
<=> ! [X4,X5,X0] :
( ~ arg1(X4,X5)
| ~ subs(X4,hei__337en_1_1)
| ~ arg2(X4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl59_5])],[avatar_definition]) ).
fof(f11085,plain,
( ! [X0,X4,X5] :
( ~ subs(X4,hei__337en_1_1)
| ~ arg1(X4,X5)
| ~ arg2(X4,X0) )
| ~ spl59_5 ),
inference(avatar_component_clause,[],[f11084]) ).
fof(f11086,plain,
( spl59_1
| spl59_2
| spl59_3
| spl59_4
| spl59_5 ),
inference(avatar_split_clause,[],[f10448,f11084,f11081,f11078,f11075,f11072]) ).
fof(f11087,plain,
( $false
| ~ spl59_2 ),
inference(unit_resulting_resolution,[],[f10612,f11076]) ).
fof(f11090,plain,
~ spl59_2,
inference(avatar_contradiction_clause,[],[f11087]) ).
fof(f11091,plain,
( $false
| ~ spl59_3 ),
inference(unit_resulting_resolution,[],[f10613,f11079]) ).
fof(f11094,plain,
~ spl59_3,
inference(avatar_contradiction_clause,[],[f11091]) ).
fof(f11095,plain,
( $false
| ~ spl59_4 ),
inference(unit_resulting_resolution,[],[f11082,f10611,f10609,f10608]) ).
fof(f11097,plain,
~ spl59_4,
inference(avatar_contradiction_clause,[],[f11095]) ).
fof(f11099,plain,
! [X0] :
( arg1(sK9(c5919),c5919)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(c5920,X0) ),
inference(resolution,[],[f10645,f10611]) ).
fof(f11101,definition,
( spl59_6
<=> ! [X0] :
( ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(c5920,X0) ) ),
introduced(definition,[new_symbols(definition,[spl59_6])],[avatar_definition]) ).
fof(f11102,plain,
( ! [X0] :
( ~ sub(c5920,X0)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil)))) )
| ~ spl59_6 ),
inference(avatar_component_clause,[],[f11101]) ).
fof(f11104,definition,
( spl59_7
<=> arg1(sK9(c5919),c5919) ),
introduced(definition,[new_symbols(definition,[spl59_7])],[avatar_definition]) ).
fof(f11105,plain,
( arg1(sK9(c5919),c5919)
| ~ spl59_7 ),
inference(avatar_component_clause,[],[f11104]) ).
fof(f11106,plain,
( spl59_6
| spl59_7 ),
inference(avatar_split_clause,[],[f11099,f11104,f11101]) ).
fof(f11107,plain,
( ~ member(name_1_1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ spl59_6 ),
inference(resolution,[],[f11102,f10609]) ).
fof(f11108,plain,
! [X0] :
( arg2(sK9(c5919),c5919)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(c5920,X0) ),
inference(resolution,[],[f10644,f10611]) ).
fof(f11109,plain,
! [X0] :
( subs(sK9(c5919),hei__337en_1_1)
| ~ member(X0,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ sub(c5920,X0) ),
inference(resolution,[],[f10643,f10611]) ).
fof(f11110,plain,
( ~ member(name_1_1,cons(familiename_1_1,cons(name_1_1,nil)))
| ~ spl59_6 ),
inference(resolution,[],[f11107,f10683]) ).
fof(f11112,plain,
( ~ member(name_1_1,cons(name_1_1,nil))
| ~ spl59_6 ),
inference(resolution,[],[f11110,f10683]) ).
fof(f11114,plain,
( $false
| ~ spl59_6 ),
inference(forward_subsumption_resolution,[],[f11112,f10684]) ).
fof(f11115,plain,
~ spl59_6,
inference(avatar_contradiction_clause,[],[f11114]) ).
fof(f11117,definition,
( spl59_8
<=> arg2(sK9(c5919),c5919) ),
introduced(definition,[new_symbols(definition,[spl59_8])],[avatar_definition]) ).
fof(f11118,plain,
( arg2(sK9(c5919),c5919)
| ~ spl59_8 ),
inference(avatar_component_clause,[],[f11117]) ).
fof(f11119,plain,
( spl59_6
| spl59_8 ),
inference(avatar_split_clause,[],[f11108,f11117,f11101]) ).
fof(f11121,definition,
( spl59_9
<=> subs(sK9(c5919),hei__337en_1_1) ),
introduced(definition,[new_symbols(definition,[spl59_9])],[avatar_definition]) ).
fof(f11122,plain,
( subs(sK9(c5919),hei__337en_1_1)
| ~ spl59_9 ),
inference(avatar_component_clause,[],[f11121]) ).
fof(f11123,plain,
( spl59_6
| spl59_9 ),
inference(avatar_split_clause,[],[f11109,f11121,f11101]) ).
fof(f11124,plain,
( $false
| ~ spl59_5
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9 ),
inference(unit_resulting_resolution,[],[f11085,f11118,f11105,f11122]) ).
fof(f11128,plain,
( ~ spl59_5
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9 ),
inference(avatar_contradiction_clause,[],[f11124]) ).
fof(f11136,plain,
( $false
| ~ spl59_1 ),
inference(unit_resulting_resolution,[],[f11073,f10614]) ).
fof(f11139,plain,
~ spl59_1,
inference(avatar_contradiction_clause,[],[f11136]) ).
cnf(s1,plain,
( spl59_1
| spl59_2
| spl59_3
| spl59_4
| spl59_5 ),
inference(sat_conversion,[],[f11086]) ).
cnf(s3,plain,
~ spl59_2,
inference(sat_conversion,[],[f11090]) ).
cnf(s5,plain,
~ spl59_3,
inference(sat_conversion,[],[f11094]) ).
cnf(s6,plain,
~ spl59_4,
inference(sat_conversion,[],[f11097]) ).
cnf(s7,plain,
( spl59_6
| spl59_7 ),
inference(sat_conversion,[],[f11106]) ).
cnf(s9,plain,
~ spl59_6,
inference(sat_conversion,[],[f11115]) ).
cnf(s10,plain,
( spl59_6
| spl59_8 ),
inference(sat_conversion,[],[f11119]) ).
cnf(s11,plain,
( spl59_6
| spl59_9 ),
inference(sat_conversion,[],[f11123]) ).
cnf(s12,plain,
( ~ spl59_5
| ~ spl59_7
| ~ spl59_8
| ~ spl59_9 ),
inference(sat_conversion,[],[f11128]) ).
cnf(s15,plain,
~ spl59_1,
inference(sat_conversion,[],[f11139]) ).
cnf(s16,plain,
spl59_9,
inference(rat,[],[s11,s9]) ).
cnf(s17,plain,
spl59_8,
inference(rat,[],[s10,s9]) ).
cnf(s18,plain,
spl59_7,
inference(rat,[],[s7,s9]) ).
cnf(s19,plain,
~ spl59_5,
inference(rat,[],[s12,s16,s17,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s19,s6,s5,s3,s15]) ).
fof(f11140,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR112+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.28 % Computer : n002.cluster.edu
% 0.12/0.28 % Model : x86_64 x86_64
% 0.12/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28 % Memory : 8046.5625MB
% 0.12/0.28 % OS : Linux 6.8.0-71-generic
% 0.12/0.28 % CPULimit : 300
% 0.12/0.28 % WCLimit : 300
% 0.12/0.28 % DateTime : Mon Sep 28 23:04:52 UTC 2026
% 0.12/0.29 % CPUTime :
% 0.12/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.34 Running first-order theorem proving
% 0.28/0.34 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.67/2.98 % (867625)Detected formulas, will run a generic FOF schedule.
% 10.67/2.98 % (867631)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2890540367:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 10.67/2.98 % (867630)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3306973834:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 10.67/2.98 % (867633)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2976057556:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 10.67/2.98 % (867632)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2090538136:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 10.67/2.98 % (867636)dis-21_1_sil=8000:lcm=predicate:random_seed=1759838826:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 10.67/2.98 % (867634)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=433124364:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 10.67/2.98 % (867635)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=161275197:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 10.67/2.98 % (867633)Refutation not found, incomplete strategy
% 10.67/2.98 % (867633)------------------------------
% 10.67/2.98 % (867633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/2.98 % (867633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/2.98 % (867633)CaDiCaL version: 2.1.3
% 10.67/2.98 % (867633)Termination reason: Refutation not found, incomplete strategy
% 10.67/2.98 % (867633)Time elapsed: 0.040 s
% 10.67/2.98 % (867633)Peak memory usage: 98 MB
% 10.67/2.98 % (867633)Instructions burned: 52 (million)
% 10.67/2.98 % (867634)Refutation not found, incomplete strategy
% 10.67/2.98 % (867634)------------------------------
% 10.67/2.98 % (867634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/2.98 % (867634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/2.98 % (867634)CaDiCaL version: 2.1.3
% 10.67/2.98 % (867634)Termination reason: Refutation not found, incomplete strategy
% 10.67/2.98 % (867634)Time elapsed: 0.041 s
% 10.67/2.98 % (867634)Peak memory usage: 98 MB
% 10.67/2.98 % (867634)Instructions burned: 52 (million)
% 10.67/2.98 % (867636)Instruction limit reached!
% 10.67/2.98 % (867636)------------------------------
% 10.67/2.98 % (867636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/2.98 % (867636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/2.98 % (867636)CaDiCaL version: 2.1.3
% 10.67/2.98 % (867636)Termination reason: Instruction limit
% 10.67/2.98 % (867636)Termination phase: Saturation
% 10.67/2.98 % (867636)Time elapsed: 0.104 s
% 10.67/2.98 % (867636)Peak memory usage: 99 MB
% 10.67/2.98 % (867636)Instructions burned: 129 (million)
% 10.67/2.98 % (867635)Instruction limit reached!
% 10.67/2.98 % (867635)------------------------------
% 10.67/2.98 % (867635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/2.98 % (867635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/2.98 % (867635)CaDiCaL version: 2.1.3
% 10.67/2.98 % (867635)Termination reason: Instruction limit
% 10.67/2.98 % (867635)Termination phase: Saturation
% 10.67/2.98 % (867635)Time elapsed: 0.110 s
% 10.67/2.98 % (867635)Peak memory usage: 97 MB
% 10.67/2.98 % (867635)Instructions burned: 140 (million)
% 10.67/2.98 % (867645)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2566952082:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 10.67/2.98 % (867633)------------------------------
% 10.67/2.98 % (867633)------------------------------
% 10.67/2.98 % (867644)lrs+10_1_sil=8000:sp=occurrence:random_seed=770873305:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 10.67/2.98 % (867634)------------------------------
% 10.67/2.98 % (867634)------------------------------
% 10.67/2.98 % (867645)Refutation not found, incomplete strategy
% 10.67/2.98 % (867645)------------------------------
% 10.67/2.98 % (867645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/2.98 % (867645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/2.98 % (867645)CaDiCaL version: 2.1.3
% 10.67/2.98 % (867645)Termination reason: Refutation not found, incomplete strategy
% 10.67/2.98 % (867645)Time elapsed: 0.065 s
% 10.67/2.98 % (867645)Peak memory usage: 98 MB
% 10.67/2.98 % (867645)Instructions burned: 87 (million)
% 10.67/2.98 % (867644)Instruction limit reached!
% 10.67/2.98 % (867644)------------------------------
% 10.67/2.98 % (867644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/2.98 % (867644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/2.98 % (867644)CaDiCaL version: 2.1.3
% 10.67/2.98 % (867644)Termination reason: Instruction limit
% 10.67/2.98 % (867644)Termination phase: Saturation
% 10.67/2.98 % (867644)Time elapsed: 0.256 s
% 10.67/2.98 % (867644)Peak memory usage: 101 MB
% 10.67/2.98 % (867644)Instructions burned: 285 (million)
% 10.67/2.98 % (867648)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3846662030:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 10.67/2.98 % (867649)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1282494393:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 10.67/2.98 % (867631)First to succeed.
% 10.67/2.98 % (867631)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-867625"
% 10.67/2.98 % (867645)------------------------------
% 10.67/2.98 % (867645)------------------------------
% 10.67/2.98 % (867650)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2124160292:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2987 on theBenchmark for (2987ds/294Mi)
% 10.67/2.98 % (867648)Instruction limit reached!
% 10.67/2.98 % (867648)------------------------------
% 10.67/2.98 % (867648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/2.98 % (867648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/2.98 % (867648)CaDiCaL version: 2.1.3
% 10.67/2.98 % (867648)Termination reason: Instruction limit
% 10.67/2.98 % (867648)Termination phase: Saturation
% 10.67/2.98 % (867648)Time elapsed: 0.194 s
% 10.67/2.98 % (867648)Peak memory usage: 98 MB
% 10.67/2.98 % (867648)Instructions burned: 325 (million)
% 10.67/2.98 % (867649)Instruction limit reached!
% 10.67/2.98 % (867649)------------------------------
% 10.67/2.98 % (867649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/2.99 % (867649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/2.99 % (867649)CaDiCaL version: 2.1.3
% 10.67/2.99 % (867649)Termination reason: Instruction limit
% 10.67/2.99 % (867649)Termination phase: Saturation
% 10.67/2.99 % (867649)Time elapsed: 0.193 s
% 10.67/2.99 % (867649)Peak memory usage: 100 MB
% 10.67/2.99 % (867649)Instructions burned: 249 (million)
% 10.67/2.99 % (867650)Instruction limit reached!
% 10.67/2.99 % (867650)------------------------------
% 10.67/2.99 % (867650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/2.99 % (867650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/2.99 % (867650)CaDiCaL version: 2.1.3
% 10.67/2.99 % (867650)Termination reason: Instruction limit
% 10.67/2.99 % (867650)Termination phase: Saturation
% 10.67/2.99 % (867650)Time elapsed: 0.105 s
% 10.67/2.99 % (867650)Peak memory usage: 98 MB
% 10.67/2.99 % (867650)Instructions burned: 295 (million)
% 10.67/2.99 % (867653)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3393788861:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 10.67/2.99 % (867655)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1423857477:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 10.67/2.99 % (867656)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=468150095:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 10.67/2.99 % (867655)Also succeeded, but the first one will report.
% 10.67/2.99 % (867631)Refutation found. Thanks to Tanya!
% 10.67/2.99 % SZS status Theorem for theBenchmark
% 10.67/2.99 % SZS output start Proof for theBenchmark
% See solution above
% 12.62/3.33 % (867631)------------------------------
% 12.62/3.33 % (867631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.62/3.33 % (867631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/3.33 % (867631)CaDiCaL version: 2.1.3
% 12.62/3.33 % (867631)Termination reason: Refutation
% 12.62/3.33 % (867631)Time elapsed: 0.933 s
% 12.62/3.33 % (867631)Peak memory usage: 184 MB
% 12.62/3.33 % (867631)Instructions burned: 1530 (million)
% 12.62/3.33 % (867631)------------------------------
% 12.62/3.33 % (867631)------------------------------
% 12.62/3.33 % (867625)Success in time 1.876 s
% 12.62/3.33 % Vampire exiting
%------------------------------------------------------------------------------