TSTP Solution File: NUM849+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM849+1 : TPTP v8.2.0. Released v4.1.0.
% 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 : n009.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 : Tue May 21 01:46:26 EDT 2024
% Result : Theorem 0.62s 0.78s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 20 unt; 0 def)
% Number of atoms : 52 ( 51 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 7 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 32 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f168,plain,
$false,
inference(subsumption_resolution,[],[f167,f145]) ).
fof(f145,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK0)) != vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(forward_demodulation,[],[f129,f100]) ).
fof(f100,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X75,X76] : vplus(X76,X75) = vplus(X75,X76),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f129,plain,
vmul(vmul(vd448,vd449),vplus(sK0,v1)) != vmul(vd448,vmul(vd449,vplus(sK0,v1))),
inference(definition_unfolding,[],[f98,f126,f126]) ).
fof(f126,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)) ),
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X83,X84] :
( vplus(X83,v1) = vsucc(X83)
& vplus(X83,vsucc(X84)) = vsucc(vplus(X83,X84)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f98,plain,
vmul(vmul(vd448,vd449),vsucc(sK0)) != vmul(vd448,vmul(vd449,vsucc(sK0))),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
? [X0] :
( vmul(vmul(vd448,vd449),vsucc(X0)) != vmul(vd448,vmul(vd449,vsucc(X0)))
& vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vmul(vmul(vd448,vd449),vsucc(X0)) = vmul(vd448,vmul(vd449,vsucc(X0))) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vmul(vmul(vd448,vd449),vsucc(X0)) = vmul(vd448,vmul(vd449,vsucc(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(ind(296), imp(296))') ).
fof(f167,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK0)) = vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(forward_demodulation,[],[f166,f100]) ).
fof(f166,plain,
vmul(vmul(vd448,vd449),vplus(sK0,v1)) = vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(forward_demodulation,[],[f165,f163]) ).
fof(f163,plain,
vmul(vd448,vmul(vd449,vplus(v1,sK0))) = vmul(vd448,vplus(vd449,vmul(vd449,sK0))),
inference(forward_demodulation,[],[f162,f100]) ).
fof(f162,plain,
vmul(vd448,vmul(vd449,vplus(sK0,v1))) = vmul(vd448,vplus(vd449,vmul(vd449,sK0))),
inference(forward_demodulation,[],[f146,f100]) ).
fof(f146,plain,
vmul(vd448,vmul(vd449,vplus(sK0,v1))) = vmul(vd448,vplus(vmul(vd449,sK0),vd449)),
inference(unit_resulting_resolution,[],[f97,f131]) ).
fof(f131,plain,
! [X0] :
( vmul(vd448,vplus(vmul(vd449,X0),vd449)) = vmul(vd448,vmul(vd449,vplus(X0,v1)))
| vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ),
inference(definition_unfolding,[],[f114,f126]) ).
fof(f114,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0))
| vmul(vd448,vmul(vd449,vsucc(X0))) = vmul(vd448,vplus(vmul(vd449,X0),vd449)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( vmul(vd448,vmul(vd449,vsucc(X0))) = vmul(vd448,vplus(vmul(vd449,X0),vd449))
| vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vmul(vd448,vmul(vd449,vsucc(X0))) = vmul(vd448,vplus(vmul(vd449,X0),vd449)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1] :
( vmul(vmul(vd448,vd449),X1) = vmul(vd448,vmul(vd449,X1))
=> vmul(vd448,vplus(vmul(vd449,X1),vd449)) = vmul(vd448,vmul(vd449,vsucc(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(292), 1), 0)') ).
fof(f97,plain,
vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)),
inference(cnf_transformation,[],[f84]) ).
fof(f165,plain,
vmul(vmul(vd448,vd449),vplus(sK0,v1)) = vmul(vd448,vplus(vd449,vmul(vd449,sK0))),
inference(forward_demodulation,[],[f164,f100]) ).
fof(f164,plain,
vmul(vmul(vd448,vd449),vplus(sK0,v1)) = vmul(vd448,vplus(vmul(vd449,sK0),vd449)),
inference(forward_demodulation,[],[f159,f120]) ).
fof(f120,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X3,X4] : vmul(X2,vplus(X3,X4)) = vplus(vmul(X2,X3),vmul(X2,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f159,plain,
vmul(vmul(vd448,vd449),vplus(sK0,v1)) = vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd448,vd449)),
inference(trivial_inequality_removal,[],[f152]) ).
fof(f152,plain,
( vmul(vmul(vd448,vd449),vplus(sK0,v1)) = vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd448,vd449))
| vmul(vd448,vmul(vd449,sK0)) != vmul(vd448,vmul(vd449,sK0)) ),
inference(superposition,[],[f130,f97]) ).
fof(f130,plain,
! [X0] :
( vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) = vmul(vmul(vd448,vd449),vplus(X0,v1))
| vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ),
inference(definition_unfolding,[],[f111,f126]) ).
fof(f111,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0))
| vmul(vmul(vd448,vd449),vsucc(X0)) = vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( vmul(vmul(vd448,vd449),vsucc(X0)) = vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449))
| vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vmul(vmul(vd448,vd449),vsucc(X0)) = vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1] :
( vmul(vmul(vd448,vd449),X1) = vmul(vd448,vmul(vd449,X1))
=> vplus(vmul(vmul(vd448,vd449),X1),vmul(vd448,vd449)) = vmul(vmul(vd448,vd449),vsucc(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(292), 1), 3)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM849+1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.13 % 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
% 0.15/0.34 % Computer : n009.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 20 06:08:23 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 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/benchmark/theBenchmark.p
% 0.62/0.78 % (17011)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 theBenchmark for (2995ds/83Mi)
% 0.62/0.78 % (17005)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 theBenchmark for (2995ds/34Mi)
% 0.62/0.78 % (17007)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.78 % (17006)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 theBenchmark for (2995ds/51Mi)
% 0.62/0.78 % (17008)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.62/0.78 % (17009)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 theBenchmark for (2995ds/34Mi)
% 0.62/0.78 % (17011)First to succeed.
% 0.62/0.78 % (17011)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17004"
% 0.62/0.78 % (17011)Refutation found. Thanks to Tanya!
% 0.62/0.78 % SZS status Theorem for theBenchmark
% 0.62/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.78 % (17011)------------------------------
% 0.62/0.78 % (17011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78 % (17011)Termination reason: Refutation
% 0.62/0.78
% 0.62/0.78 % (17011)Memory used [KB]: 1065
% 0.62/0.78 % (17011)Time elapsed: 0.003 s
% 0.62/0.78 % (17011)Instructions burned: 7 (million)
% 0.62/0.78 % (17004)Success in time 0.425 s
% 0.62/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------