TSTP Solution File: NUM423+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM423+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 : n003.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 08:11:53 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 13 unt; 0 def)
% Number of atoms : 166 ( 49 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 206 ( 83 ~; 79 |; 34 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 47 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f418,plain,
$false,
inference(subsumption_resolution,[],[f417,f58]) ).
fof(f58,plain,
sz00 != xq,
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
( sz00 != xq
& aInteger0(xq)
& aInteger0(xa) ),
file('/export/starexec/sandbox/tmp/tmp.88RfyTqTsP/Vampire---4.8_26583',m__671) ).
fof(f417,plain,
sz00 = xq,
inference(subsumption_resolution,[],[f414,f57]) ).
fof(f57,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f20]) ).
fof(f414,plain,
( ~ aInteger0(xq)
| sz00 = xq ),
inference(resolution,[],[f210,f389]) ).
fof(f389,plain,
~ aDivisorOf0(xq,sz00),
inference(subsumption_resolution,[],[f388,f56]) ).
fof(f56,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f20]) ).
fof(f388,plain,
( ~ aDivisorOf0(xq,sz00)
| ~ aInteger0(xa) ),
inference(superposition,[],[f387,f70]) ).
fof(f70,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.88RfyTqTsP/Vampire---4.8_26583',mAddNeg) ).
fof(f387,plain,
~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))),
inference(subsumption_resolution,[],[f386,f56]) ).
fof(f386,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| ~ aInteger0(xa) ),
inference(subsumption_resolution,[],[f385,f57]) ).
fof(f385,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(subsumption_resolution,[],[f384,f58]) ).
fof(f384,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(duplicate_literal_removal,[],[f381]) ).
fof(f381,plain,
( ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| sz00 = xq
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(xa) ),
inference(resolution,[],[f61,f59]) ).
fof(f59,plain,
~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
inference(flattening,[],[f22]) ).
fof(f22,negated_conjecture,
~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
sdteqdtlpzmzozddtrp0(xa,xa,xq),
file('/export/starexec/sandbox/tmp/tmp.88RfyTqTsP/Vampire---4.8_26583',m__) ).
fof(f61,plain,
! [X2,X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,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,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f25]) ).
fof(f25,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.88RfyTqTsP/Vampire---4.8_26583',mEquMod) ).
fof(f210,plain,
! [X0] :
( aDivisorOf0(X0,sz00)
| ~ aInteger0(X0)
| sz00 = X0 ),
inference(subsumption_resolution,[],[f208,f74]) ).
fof(f74,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/tmp/tmp.88RfyTqTsP/Vampire---4.8_26583',mIntZero) ).
fof(f208,plain,
! [X0] :
( ~ aInteger0(sz00)
| sz00 = X0
| ~ aInteger0(X0)
| aDivisorOf0(X0,sz00) ),
inference(duplicate_literal_removal,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ~ aInteger0(sz00)
| ~ aInteger0(sz00)
| sz00 = X0
| ~ aInteger0(X0)
| aDivisorOf0(X0,sz00)
| ~ aInteger0(X0) ),
inference(superposition,[],[f89,f68]) ).
fof(f68,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox/tmp/tmp.88RfyTqTsP/Vampire---4.8_26583',mMulZero) ).
fof(f89,plain,
! [X2,X1] :
( ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X2)) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( aDivisorOf0(X1,X0)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,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])],[f53,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
=> ( sdtasdt0(X1,sK0(X0,X1)) = X0
& aInteger0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,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,[],[f52]) ).
fof(f52,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,[],[f51]) ).
fof(f51,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,[],[f27]) ).
fof(f27,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.88RfyTqTsP/Vampire---4.8_26583',mDivisor) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM423+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n003.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 14:11:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.88RfyTqTsP/Vampire---4.8_26583
% 0.55/0.73 % (26851)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)
% 0.55/0.73 % (26845)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)
% 0.55/0.73 % (26847)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73 % (26848)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)
% 0.55/0.73 % (26846)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)
% 0.55/0.73 % (26849)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)
% 0.55/0.73 % (26850)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)
% 0.55/0.74 % (26845)Refutation not found, incomplete strategy% (26845)------------------------------
% 0.55/0.74 % (26845)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (26848)Refutation not found, incomplete strategy% (26848)------------------------------
% 0.55/0.74 % (26848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (26845)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (26845)Memory used [KB]: 1039
% 0.55/0.74 % (26845)Time elapsed: 0.003 s
% 0.55/0.74 % (26845)Instructions burned: 3 (million)
% 0.55/0.74 % (26848)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (26848)Memory used [KB]: 1036
% 0.55/0.74 % (26848)Time elapsed: 0.003 s
% 0.55/0.74 % (26848)Instructions burned: 3 (million)
% 0.55/0.74 % (26845)------------------------------
% 0.55/0.74 % (26845)------------------------------
% 0.55/0.74 % (26849)Refutation not found, incomplete strategy% (26849)------------------------------
% 0.55/0.74 % (26849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (26849)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74 % (26848)------------------------------
% 0.55/0.74 % (26848)------------------------------
% 0.55/0.74
% 0.55/0.74 % (26849)Memory used [KB]: 1050
% 0.55/0.74 % (26849)Time elapsed: 0.004 s
% 0.55/0.74 % (26849)Instructions burned: 4 (million)
% 0.55/0.74 % (26849)------------------------------
% 0.55/0.74 % (26849)------------------------------
% 0.55/0.74 % (26852)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)
% 0.55/0.74 % (26850)Refutation not found, incomplete strategy% (26850)------------------------------
% 0.55/0.74 % (26850)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (26850)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (26850)Memory used [KB]: 1024
% 0.55/0.74 % (26850)Time elapsed: 0.003 s
% 0.55/0.74 % (26850)Instructions burned: 3 (million)
% 0.55/0.74 % (26850)------------------------------
% 0.55/0.74 % (26850)------------------------------
% 0.55/0.74 % (26852)Refutation not found, incomplete strategy% (26852)------------------------------
% 0.55/0.74 % (26852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (26852)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (26852)Memory used [KB]: 1042
% 0.55/0.74 % (26852)Time elapsed: 0.004 s
% 0.55/0.74 % (26852)Instructions burned: 3 (million)
% 0.55/0.74 % (26852)------------------------------
% 0.55/0.74 % (26852)------------------------------
% 0.55/0.74 % (26853)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)
% 0.55/0.74 % (26855)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.74 % (26854)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.74 % (26857)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.55/0.75 % (26857)Refutation not found, incomplete strategy% (26857)------------------------------
% 0.55/0.75 % (26857)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (26857)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75 % (26847)First to succeed.
% 0.55/0.75
% 0.55/0.75 % (26857)Memory used [KB]: 1033
% 0.55/0.75 % (26857)Time elapsed: 0.005 s
% 0.55/0.75 % (26857)Instructions burned: 4 (million)
% 0.55/0.75 % (26857)------------------------------
% 0.55/0.75 % (26857)------------------------------
% 0.55/0.75 % (26847)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26841"
% 0.55/0.75 % (26847)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (26847)------------------------------
% 0.55/0.75 % (26847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (26847)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (26847)Memory used [KB]: 1170
% 0.55/0.75 % (26847)Time elapsed: 0.015 s
% 0.55/0.75 % (26847)Instructions burned: 22 (million)
% 0.55/0.75 % (26841)Success in time 0.378 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------