TSTP Solution File: NUM425+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM425+1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 03:31:01 EDT 2024
% Result : Theorem 0.63s 0.80s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 10 unt; 0 def)
% Number of atoms : 195 ( 35 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 235 ( 97 ~; 91 |; 34 &)
% ( 8 <=>; 5 =>; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 70 ( 62 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f360,plain,
$false,
inference(avatar_sat_refutation,[],[f136,f237,f359]) ).
fof(f359,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f357,f90]) ).
fof(f90,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
( sz00 != xq
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
file('/export/starexec/sandbox/tmp/tmp.4O4YiMNGJG/Vampire---4.8_3642',m__704) ).
fof(f357,plain,
( ~ aInteger0(xa)
| spl2_2 ),
inference(subsumption_resolution,[],[f356,f91]) ).
fof(f91,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f21]) ).
fof(f356,plain,
( ~ aInteger0(xb)
| ~ aInteger0(xa)
| spl2_2 ),
inference(subsumption_resolution,[],[f351,f94]) ).
fof(f94,plain,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
file('/export/starexec/sandbox/tmp/tmp.4O4YiMNGJG/Vampire---4.8_3642',m__724) ).
fof(f351,plain,
( ~ sdteqdtlpzmzozddtrp0(xa,xb,xq)
| ~ aInteger0(xb)
| ~ aInteger0(xa)
| spl2_2 ),
inference(resolution,[],[f340,f135]) ).
fof(f135,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| spl2_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl2_2
<=> aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f340,plain,
! [X0,X1] :
( aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(subsumption_resolution,[],[f333,f92]) ).
fof(f92,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f21]) ).
fof(f333,plain,
! [X0,X1] :
( aDivisorOf0(xq,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| ~ aInteger0(xq)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[],[f121,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sQ1_eqProxy(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f87,f98]) ).
fof(f98,plain,
! [X0,X1] :
( sQ1_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).
fof(f87,plain,
! [X2,X0,X1] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
& ( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( sz00 != X2
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
file('/export/starexec/sandbox/tmp/tmp.4O4YiMNGJG/Vampire---4.8_3642',mEquMod) ).
fof(f121,plain,
~ sQ1_eqProxy(sz00,xq),
inference(equality_proxy_replacement,[],[f93,f98]) ).
fof(f93,plain,
sz00 != xq,
inference(cnf_transformation,[],[f21]) ).
fof(f237,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f234,f91]) ).
fof(f234,plain,
( ~ aInteger0(xb)
| spl2_1 ),
inference(resolution,[],[f186,f62]) ).
fof(f62,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.4O4YiMNGJG/Vampire---4.8_3642',mIntNeg) ).
fof(f186,plain,
( ~ aInteger0(smndt0(xb))
| spl2_1 ),
inference(subsumption_resolution,[],[f184,f90]) ).
fof(f184,plain,
( ~ aInteger0(smndt0(xb))
| ~ aInteger0(xa)
| spl2_1 ),
inference(resolution,[],[f131,f63]) ).
fof(f63,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f27]) ).
fof(f27,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/sandbox/tmp/tmp.4O4YiMNGJG/Vampire---4.8_3642',mIntPlus) ).
fof(f131,plain,
( ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| spl2_1 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl2_1
<=> aInteger0(sdtpldt0(xa,smndt0(xb))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f136,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f127,f133,f129]) ).
fof(f127,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(subsumption_resolution,[],[f125,f84]) ).
fof(f84,plain,
! [X0,X1] :
( aInteger0(sK0(X0,X1))
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1) )
& ( ( sdtasdt0(X1,sK0(X0,X1)) = X0
& aInteger0(sK0(X0,X1))
& sz00 != X1
& aInteger0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aInteger0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f56,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
=> ( sdtasdt0(X1,sK0(X0,X1)) = X0
& aInteger0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,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,[],[f55]) ).
fof(f55,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,[],[f54]) ).
fof(f54,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,[],[f48]) ).
fof(f48,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/sandbox/tmp/tmp.4O4YiMNGJG/Vampire---4.8_3642',mDivisor) ).
fof(f125,plain,
( ~ aInteger0(sK0(sdtpldt0(xa,smndt0(xb)),xq))
| ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(resolution,[],[f122,f117]) ).
fof(f117,plain,
! [X0,X1] :
( sQ1_eqProxy(sdtasdt0(X1,sK0(X0,X1)),X0)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f85,f98]) ).
fof(f85,plain,
! [X0,X1] :
( sdtasdt0(X1,sK0(X0,X1)) = X0
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f122,plain,
! [X0] :
( ~ sQ1_eqProxy(sdtasdt0(xq,X0),sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(X0) ),
inference(equality_proxy_replacement,[],[f95,f98]) ).
fof(f95,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
? [X0] :
( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.4O4YiMNGJG/Vampire---4.8_3642',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM425+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 17:09:25 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.17/0.31 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.4O4YiMNGJG/Vampire---4.8_3642
% 0.63/0.80 % (3757)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.80 % (3759)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)
% 0.63/0.80 % (3758)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)
% 0.63/0.80 % (3755)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)
% 0.63/0.80 % (3760)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)
% 0.63/0.80 % (3756)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)
% 0.63/0.80 % (3761)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)
% 0.63/0.80 % (3762)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)
% 0.63/0.80 % (3762)Refutation not found, incomplete strategy% (3762)------------------------------
% 0.63/0.80 % (3762)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (3762)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80
% 0.63/0.80 % (3762)Memory used [KB]: 961
% 0.63/0.80 % (3762)Time elapsed: 0.003 s
% 0.63/0.80 % (3762)Instructions burned: 3 (million)
% 0.63/0.80 % (3762)------------------------------
% 0.63/0.80 % (3762)------------------------------
% 0.63/0.80 % (3755)Refutation not found, incomplete strategy% (3755)------------------------------
% 0.63/0.80 % (3755)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (3755)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80
% 0.63/0.80 % (3755)Memory used [KB]: 1045
% 0.63/0.80 % (3755)Time elapsed: 0.004 s
% 0.63/0.80 % (3755)Instructions burned: 4 (million)
% 0.63/0.80 % (3755)------------------------------
% 0.63/0.80 % (3755)------------------------------
% 0.63/0.80 % (3759)First to succeed.
% 0.63/0.80 % (3759)Refutation found. Thanks to Tanya!
% 0.63/0.80 % SZS status Theorem for Vampire---4
% 0.63/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.80 % (3759)------------------------------
% 0.63/0.80 % (3759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (3759)Termination reason: Refutation
% 0.63/0.80
% 0.63/0.80 % (3759)Memory used [KB]: 1080
% 0.63/0.80 % (3759)Time elapsed: 0.005 s
% 0.63/0.80 % (3759)Instructions burned: 7 (million)
% 0.63/0.80 % (3759)------------------------------
% 0.63/0.80 % (3759)------------------------------
% 0.63/0.80 % (3752)Success in time 0.484 s
% 0.63/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------