TSTP Solution File: NUM600+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM600+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 08:13:23 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 148 ( 51 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 183 ( 62 ~; 41 |; 70 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 46 ( 27 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f894,plain,
$false,
inference(subsumption_resolution,[],[f893,f678]) ).
fof(f678,plain,
aElementOf0(sK52,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f383]) ).
fof(f383,plain,
( ! [X1] :
( sdtlpdtrp0(xe,X1) != sK51
| ( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) != szDzizrdt0(xd) )
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(sK51,xO)
& sK51 = sdtlpdtrp0(xe,sK52)
& aElementOf0(sK52,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52])],[f380,f382,f381]) ).
fof(f381,plain,
( ? [X0] :
( ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) != szDzizrdt0(xd) )
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(X0,xO)
& ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ( ! [X1] :
( sdtlpdtrp0(xe,X1) != sK51
| ( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) != szDzizrdt0(xd) )
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(sK51,xO)
& ? [X2] :
( sdtlpdtrp0(xe,X2) = sK51
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f382,plain,
( ? [X2] :
( sdtlpdtrp0(xe,X2) = sK51
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
=> ( sK51 = sdtlpdtrp0(xe,sK52)
& aElementOf0(sK52,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
introduced(choice_axiom,[]) ).
fof(f380,plain,
? [X0] :
( ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,X1) != szDzizrdt0(xd) )
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(X0,xO)
& ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
? [X0] :
( ! [X2] :
( sdtlpdtrp0(xe,X2) != X0
| ( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) != sdtlpdtrp0(xd,X2) )
| ~ aElementOf0(X2,szNzAzT0) )
& aElementOf0(X0,xO)
& ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
? [X0] :
( ! [X2] :
( sdtlpdtrp0(xe,X2) != X0
| ( ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) != sdtlpdtrp0(xd,X2) )
| ~ aElementOf0(X2,szNzAzT0) )
& aElementOf0(X0,xO)
& ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
~ ! [X0] :
( ( aElementOf0(X0,xO)
& ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X2] :
( sdtlpdtrp0(xe,X2) = X0
& ( aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| szDzizrdt0(xd) = sdtlpdtrp0(xd,X2) )
& aElementOf0(X2,szNzAzT0) ) ),
inference(rectify,[],[f98]) ).
fof(f98,negated_conjecture,
~ ! [X0] :
( ( aElementOf0(X0,xO)
& ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) )
& aElementOf0(X1,szNzAzT0) ) ),
inference(negated_conjecture,[],[f97]) ).
fof(f97,conjecture,
! [X0] :
( ( aElementOf0(X0,xO)
& ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) )
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5M4fj97jRZ/Vampire---4.8_12523',m__) ).
fof(f893,plain,
~ aElementOf0(sK52,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(trivial_inequality_removal,[],[f892]) ).
fof(f892,plain,
( sK51 != sK51
| ~ aElementOf0(sK52,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(superposition,[],[f870,f679]) ).
fof(f679,plain,
sK51 = sdtlpdtrp0(xe,sK52),
inference(cnf_transformation,[],[f383]) ).
fof(f870,plain,
! [X1] :
( sdtlpdtrp0(xe,X1) != sK51
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(subsumption_resolution,[],[f682,f867]) ).
fof(f867,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(forward_demodulation,[],[f664,f651]) ).
fof(f651,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ~ aElementOf0(sK48(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK48(X0,X1),X1) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f143,f367]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK48(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK48(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) ) ) ) )
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) )
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
file('/export/starexec/sandbox2/tmp/tmp.5M4fj97jRZ/Vampire---4.8_12523',m__4730) ).
fof(f664,plain,
! [X0] :
( aElementOf0(X0,szDzozmdt0(xd))
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) )
& ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(flattening,[],[f373]) ).
fof(f373,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd)) )
& ( ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox2/tmp/tmp.5M4fj97jRZ/Vampire---4.8_12523',m__4854) ).
fof(f682,plain,
! [X1] :
( sdtlpdtrp0(xe,X1) != sK51
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM600+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:42:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.5M4fj97jRZ/Vampire---4.8_12523
% 0.57/0.73 % (12637)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)
% 0.57/0.73 % (12631)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)
% 0.57/0.73 % (12634)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)
% 0.57/0.73 % (12633)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73 % (12632)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)
% 0.57/0.73 % (12636)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)
% 0.57/0.73 % (12638)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)
% 0.57/0.73 % (12635)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)
% 0.57/0.75 % (12634)Instruction limit reached!
% 0.57/0.75 % (12634)------------------------------
% 0.57/0.75 % (12634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (12634)Termination reason: Unknown
% 0.57/0.75 % (12634)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (12634)Memory used [KB]: 1718
% 0.57/0.75 % (12634)Time elapsed: 0.019 s
% 0.57/0.75 % (12634)Instructions burned: 34 (million)
% 0.57/0.75 % (12634)------------------------------
% 0.57/0.75 % (12634)------------------------------
% 0.57/0.75 % (12633)First to succeed.
% 0.57/0.75 % (12633)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12630"
% 0.57/0.75 % (12633)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (12633)------------------------------
% 0.57/0.75 % (12633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (12633)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (12633)Memory used [KB]: 1614
% 0.57/0.75 % (12633)Time elapsed: 0.021 s
% 0.57/0.75 % (12633)Instructions burned: 37 (million)
% 0.57/0.75 % (12630)Success in time 0.402 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------