TSTP Solution File: NUM430+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM430+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 : n022.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 03:31:04 EDT 2024
% Result : Theorem 0.62s 0.79s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 5 unt; 0 def)
% Number of atoms : 167 ( 39 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 184 ( 63 ~; 54 |; 56 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 54 ( 40 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(avatar_sat_refutation,[],[f167,f178,f180]) ).
fof(f180,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f179,f164,f160]) ).
fof(f160,plain,
( spl4_3
<=> aInteger0(sdtpldt0(xb,smndt0(xc))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f164,plain,
( spl4_4
<=> aInteger0(sK2(sdtpldt0(xb,smndt0(xc)),xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f179,plain,
( ~ aInteger0(sK2(sdtpldt0(xb,smndt0(xc)),xq))
| ~ aInteger0(sdtpldt0(xb,smndt0(xc))) ),
inference(subsumption_resolution,[],[f175,f77]) ).
fof(f77,plain,
aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK0)
& aInteger0(sK0)
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1)
& aInteger0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f27,f58,f57]) ).
fof(f57,plain,
( ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(X0) )
=> ( sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK0)
& aInteger0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X1] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X1)
& aInteger0(X1) )
=> ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK1)
& aInteger0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(X0) )
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [X1] :
( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X1)
& aInteger0(X1) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(X0) )
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yivt18o9Zf/Vampire---4.8_12860',m__853) ).
fof(f175,plain,
( ~ aInteger0(sK2(sdtpldt0(xb,smndt0(xc)),xq))
| ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(sdtpldt0(xb,smndt0(xc))) ),
inference(resolution,[],[f115,f124]) ).
fof(f124,plain,
! [X0,X1] :
( sQ3_eqProxy(sdtasdt0(X1,sK2(X0,X1)),X0)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f93,f110]) ).
fof(f110,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
fof(f93,plain,
! [X0,X1] :
( sdtasdt0(X1,sK2(X0,X1)) = X0
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( sdtasdt0(X1,sK2(X0,X1)) = X0
& aInteger0(sK2(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f63,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
=> ( sdtasdt0(X1,sK2(X0,X1)) = X0
& aInteger0(sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& sz00 != X1
& aInteger0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.yivt18o9Zf/Vampire---4.8_12860',mDivisor) ).
fof(f115,plain,
! [X0] :
( ~ sQ3_eqProxy(sdtasdt0(xq,X0),sdtpldt0(xb,smndt0(xc)))
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f81,f110]) ).
fof(f81,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xc))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(X0) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
& aInteger0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.yivt18o9Zf/Vampire---4.8_12860',m__) ).
fof(f178,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| spl4_3 ),
inference(subsumption_resolution,[],[f176,f70]) ).
fof(f70,plain,
aInteger0(xc),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
( aInteger0(xc)
& sz00 != xq
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/tmp/tmp.yivt18o9Zf/Vampire---4.8_12860',m__818) ).
fof(f176,plain,
( ~ aInteger0(xc)
| spl4_3 ),
inference(resolution,[],[f174,f97]) ).
fof(f97,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.yivt18o9Zf/Vampire---4.8_12860',mIntNeg) ).
fof(f174,plain,
( ~ aInteger0(smndt0(xc))
| spl4_3 ),
inference(subsumption_resolution,[],[f173,f67]) ).
fof(f67,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f22]) ).
fof(f173,plain,
( ~ aInteger0(smndt0(xc))
| ~ aInteger0(xb)
| spl4_3 ),
inference(resolution,[],[f162,f104]) ).
fof(f104,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.yivt18o9Zf/Vampire---4.8_12860',mIntPlus) ).
fof(f162,plain,
( ~ aInteger0(sdtpldt0(xb,smndt0(xc)))
| spl4_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f167,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f158,f164,f160]) ).
fof(f158,plain,
( aInteger0(sK2(sdtpldt0(xb,smndt0(xc)),xq))
| ~ aInteger0(sdtpldt0(xb,smndt0(xc))) ),
inference(resolution,[],[f77,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ aDivisorOf0(X1,X0)
| aInteger0(sK2(X0,X1))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : NUM430+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % 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
% 0.16/0.37 % Computer : n022.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 16:46:28 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.yivt18o9Zf/Vampire---4.8_12860
% 0.62/0.79 % (13088)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)
% 0.62/0.79 % (13090)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)
% 0.62/0.79 % (13083)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)
% 0.62/0.79 % (13085)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79 % (13087)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)
% 0.62/0.79 % (13084)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)
% 0.62/0.79 % (13086)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)
% 0.62/0.79 % (13089)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)
% 0.62/0.79 % (13090)First to succeed.
% 0.62/0.79 % (13088)Also succeeded, but the first one will report.
% 0.62/0.79 % (13090)Refutation found. Thanks to Tanya!
% 0.62/0.79 % SZS status Theorem for Vampire---4
% 0.62/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79 % (13090)------------------------------
% 0.62/0.79 % (13090)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79 % (13090)Termination reason: Refutation
% 0.62/0.79
% 0.62/0.79 % (13090)Memory used [KB]: 1072
% 0.62/0.79 % (13090)Time elapsed: 0.005 s
% 0.62/0.79 % (13090)Instructions burned: 6 (million)
% 0.62/0.79 % (13090)------------------------------
% 0.62/0.79 % (13090)------------------------------
% 0.62/0.79 % (13048)Success in time 0.416 s
% 0.62/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------