TSTP Solution File: NUM504+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM504+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 : n010.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 08:12:36 EDT 2024
% Result : ContradictoryAxioms 0.61s 0.83s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 15 unt; 0 def)
% Number of atoms : 180 ( 60 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 202 ( 69 ~; 52 |; 72 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 45 ( 32 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f726,plain,
$false,
inference(subsumption_resolution,[],[f725,f366]) ).
fof(f366,plain,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(subsumption_resolution,[],[f365,f363]) ).
fof(f363,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(subsumption_resolution,[],[f362,f183]) ).
fof(f183,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/tmp/tmp.1KNbi3mDtK/Vampire---4.8_14934',m__1837) ).
fof(f362,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f354,f205]) ).
fof(f205,plain,
aNaturalNumber0(sK6),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK6)
& aNaturalNumber0(sK6)
& isPrime0(xp)
& ! [X1] :
( xp = X1
| sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) )
& sz10 != xp
& sz00 != xp ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f66,f149]) ).
fof(f149,plain,
( ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xp,sK6)
& aNaturalNumber0(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X1] :
( xp = X1
| sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) )
& sz10 != xp
& sz00 != xp ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X1] :
( xp = X1
| sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) )
& sz10 != xp
& sz00 != xp ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X1] :
( ( ( doDivides0(X1,xp)
| ? [X2] :
( sdtasdt0(X1,X2) = xp
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( xp = X1
| sz10 = X1 ) )
& sz10 != xp
& sz00 != xp ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( sdtasdt0(X0,X1) = xp
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xp = X0
| sz10 = X0 ) )
& sz10 != xp
& sz00 != xp ),
file('/export/starexec/sandbox2/tmp/tmp.1KNbi3mDtK/Vampire---4.8_14934',m__1860) ).
fof(f354,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK6)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f278,f206]) ).
fof(f206,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK6),
inference(cnf_transformation,[],[f150]) ).
fof(f278,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.1KNbi3mDtK/Vampire---4.8_14934',mSortsB_02) ).
fof(f365,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(subsumption_resolution,[],[f364,f245]) ).
fof(f245,plain,
aNaturalNumber0(sK14),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),sK13)
& aNaturalNumber0(sK13)
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK14)
& aNaturalNumber0(sK14)
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f59,f162,f161]) ).
fof(f161,plain,
( ? [X0] :
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),sK13)
& aNaturalNumber0(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
( ? [X1] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X1)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK14)
& aNaturalNumber0(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& ? [X0] :
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0)
& aNaturalNumber0(X0) )
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ? [X1] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X1)
& aNaturalNumber0(X1) )
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& ? [X0] :
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0)
& aNaturalNumber0(X0) )
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ? [X0] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X0)
& aNaturalNumber0(X0) )
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
file('/export/starexec/sandbox2/tmp/tmp.1KNbi3mDtK/Vampire---4.8_14934',m__2414) ).
fof(f364,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sK14)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f269,f246]) ).
fof(f246,plain,
sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),sK14),
inference(cnf_transformation,[],[f163]) ).
fof(f269,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.1KNbi3mDtK/Vampire---4.8_14934',mSortsB) ).
fof(f725,plain,
~ aNaturalNumber0(sdtasdt0(xp,xm)),
inference(subsumption_resolution,[],[f724,f363]) ).
fof(f724,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(subsumption_resolution,[],[f723,f327]) ).
fof(f327,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)),
inference(forward_demodulation,[],[f251,f221]) ).
fof(f221,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox2/tmp/tmp.1KNbi3mDtK/Vampire---4.8_14934',m__2306) ).
fof(f251,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
inference(cnf_transformation,[],[f163]) ).
fof(f723,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(subsumption_resolution,[],[f702,f329]) ).
fof(f329,plain,
sdtasdt0(xn,xm) != sdtasdt0(xp,xm),
inference(forward_demodulation,[],[f248,f221]) ).
fof(f248,plain,
sdtasdt0(xp,xk) != sdtasdt0(xp,xm),
inference(cnf_transformation,[],[f163]) ).
fof(f702,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(resolution,[],[f308,f247]) ).
fof(f247,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f163]) ).
fof(f308,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.1KNbi3mDtK/Vampire---4.8_14934',mLEAsym) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : NUM504+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 : n010.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 : Fri May 3 13:57:33 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_CAX_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.1KNbi3mDtK/Vampire---4.8_14934
% 0.61/0.81 % (15428)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)
% 0.61/0.81 % (15421)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)
% 0.61/0.81 % (15423)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (15422)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)
% 0.61/0.81 % (15426)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)
% 0.61/0.81 % (15424)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)
% 0.61/0.81 % (15425)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)
% 0.61/0.81 % (15427)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)
% 0.61/0.83 % (15423)First to succeed.
% 0.61/0.83 % (15424)Instruction limit reached!
% 0.61/0.83 % (15424)------------------------------
% 0.61/0.83 % (15424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83 % (15424)Termination reason: Unknown
% 0.61/0.83 % (15424)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (15424)Memory used [KB]: 1651
% 0.61/0.83 % (15424)Time elapsed: 0.018 s
% 0.61/0.83 % (15424)Instructions burned: 33 (million)
% 0.61/0.83 % (15424)------------------------------
% 0.61/0.83 % (15424)------------------------------
% 0.61/0.83 % (15423)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15208"
% 0.61/0.83 % (15428)Instruction limit reached!
% 0.61/0.83 % (15428)------------------------------
% 0.61/0.83 % (15428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83 % (15428)Termination reason: Unknown
% 0.61/0.83 % (15428)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (15428)Memory used [KB]: 1779
% 0.61/0.83 % (15428)Time elapsed: 0.020 s
% 0.61/0.83 % (15428)Instructions burned: 57 (million)
% 0.61/0.83 % (15428)------------------------------
% 0.61/0.83 % (15428)------------------------------
% 0.61/0.83 % (15423)Refutation found. Thanks to Tanya!
% 0.61/0.83 % SZS status ContradictoryAxioms for Vampire---4
% 0.61/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83 % (15423)------------------------------
% 0.61/0.83 % (15423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83 % (15423)Termination reason: Refutation
% 0.61/0.83
% 0.61/0.83 % (15423)Memory used [KB]: 1357
% 0.61/0.83 % (15423)Time elapsed: 0.018 s
% 0.61/0.83 % (15423)Instructions burned: 30 (million)
% 0.61/0.83 % (15208)Success in time 0.441 s
% 0.61/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------