TSTP Solution File: NUM849+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM849+2 : TPTP v8.1.2. 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 : n032.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 08:15:59 EDT 2024
% Result : Theorem 0.46s 0.70s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 17 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 12 ~; 8 |; 1 &)
% ( 0 <=>; 8 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 26 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(subsumption_resolution,[],[f83,f62]) ).
fof(f62,plain,
vmul(vd448,vmul(vd449,vsucc(sK0))) != vmul(vsucc(sK0),vmul(vd448,vd449)),
inference(superposition,[],[f28,f30]) ).
fof(f30,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X5,X6] : vmul(X5,X6) = vmul(X6,X5),
file('/export/starexec/sandbox2/tmp/tmp.rjlyfvjNLt/Vampire---4.8_3892','ass(cond(270, 0), 0)') ).
fof(f28,plain,
vmul(vmul(vd448,vd449),vsucc(sK0)) != vmul(vd448,vmul(vd449,vsucc(sK0))),
inference(cnf_transformation,[],[f22]) ).
fof(f22,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/tmp/tmp.rjlyfvjNLt/Vampire---4.8_3892','qu(ind(296), imp(296))') ).
fof(f83,plain,
vmul(vd448,vmul(vd449,vsucc(sK0))) = vmul(vsucc(sK0),vmul(vd448,vd449)),
inference(forward_demodulation,[],[f82,f56]) ).
fof(f56,plain,
vmul(vd448,vmul(vd449,vsucc(sK0))) = vmul(vd448,vplus(vd449,vmul(vd449,sK0))),
inference(forward_demodulation,[],[f37,f29]) ).
fof(f29,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X11,X12] : vplus(X12,X11) = vplus(X11,X12),
file('/export/starexec/sandbox2/tmp/tmp.rjlyfvjNLt/Vampire---4.8_3892','ass(cond(61, 0), 0)') ).
fof(f37,plain,
vmul(vd448,vmul(vd449,vsucc(sK0))) = vmul(vd448,vplus(vmul(vd449,sK0),vd449)),
inference(unit_resulting_resolution,[],[f27,f35]) ).
fof(f35,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(cnf_transformation,[],[f26]) ).
fof(f26,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,[],[f20]) ).
fof(f20,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/tmp/tmp.rjlyfvjNLt/Vampire---4.8_3892','ass(cond(conseq(292), 1), 0)') ).
fof(f27,plain,
vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)),
inference(cnf_transformation,[],[f22]) ).
fof(f82,plain,
vmul(vsucc(sK0),vmul(vd448,vd449)) = vmul(vd448,vplus(vd449,vmul(vd449,sK0))),
inference(forward_demodulation,[],[f81,f29]) ).
fof(f81,plain,
vmul(vsucc(sK0),vmul(vd448,vd449)) = vmul(vd448,vplus(vmul(vd449,sK0),vd449)),
inference(subsumption_resolution,[],[f73,f27]) ).
fof(f73,plain,
( vmul(vsucc(sK0),vmul(vd448,vd449)) = vmul(vd448,vplus(vmul(vd449,sK0),vd449))
| vmul(vmul(vd448,vd449),sK0) != vmul(vd448,vmul(vd449,sK0)) ),
inference(superposition,[],[f57,f34]) ).
fof(f34,plain,
! [X0] :
( vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) = vmul(vd448,vplus(vmul(vd449,X0),vd449))
| vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) = vmul(vd448,vplus(vmul(vd449,X0),vd449))
| vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) = vmul(vd448,vmul(vd449,X0))
=> vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) = vmul(vd448,vplus(vmul(vd449,X0),vd449)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1] :
( vmul(vmul(vd448,vd449),X1) = vmul(vd448,vmul(vd449,X1))
=> vmul(vd448,vplus(vmul(vd449,X1),vd449)) = vplus(vmul(vd448,vmul(vd449,X1)),vmul(vd448,vd449)) ),
file('/export/starexec/sandbox2/tmp/tmp.rjlyfvjNLt/Vampire---4.8_3892','ass(cond(conseq(292), 1), 1)') ).
fof(f57,plain,
vmul(vsucc(sK0),vmul(vd448,vd449)) = vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd448,vd449)),
inference(forward_demodulation,[],[f49,f30]) ).
fof(f49,plain,
vmul(vmul(vd448,vd449),vsucc(sK0)) = vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd448,vd449)),
inference(trivial_inequality_removal,[],[f43]) ).
fof(f43,plain,
( vmul(vmul(vd448,vd449),vsucc(sK0)) = vplus(vmul(vd448,vmul(vd449,sK0)),vmul(vd448,vd449))
| vmul(vd448,vmul(vd449,sK0)) != vmul(vd448,vmul(vd449,sK0)) ),
inference(superposition,[],[f32,f27]) ).
fof(f32,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(cnf_transformation,[],[f23]) ).
fof(f23,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,[],[f17]) ).
fof(f17,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/tmp/tmp.rjlyfvjNLt/Vampire---4.8_3892','ass(cond(conseq(292), 1), 3)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % 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
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 15:25:37 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 This is a FOF_THM_RFO_PEQ problem
% 0.09/0.31 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.rjlyfvjNLt/Vampire---4.8_3892
% 0.46/0.70 % (4002)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.70 % (4003)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)
% 0.46/0.70 % (4004)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)
% 0.46/0.70 % (4005)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)
% 0.46/0.70 % (4000)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)
% 0.46/0.70 % (4007)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)
% 0.46/0.70 % (4006)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)
% 0.46/0.70 % (4001)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)
% 0.46/0.70 % (4007)Refutation not found, incomplete strategy% (4007)------------------------------
% 0.46/0.70 % (4007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70 % (4007)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.70
% 0.46/0.70 % (4004)Refutation not found, incomplete strategy% (4004)------------------------------
% 0.46/0.70 % (4004)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70 % (4007)Memory used [KB]: 956
% 0.46/0.70 % (4007)Time elapsed: 0.002 s
% 0.46/0.70 % (4007)Instructions burned: 2 (million)
% 0.46/0.70 % (4004)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.70
% 0.46/0.70 % (4004)Memory used [KB]: 1037
% 0.46/0.70 % (4004)Time elapsed: 0.003 s
% 0.46/0.70 % (4004)Instructions burned: 3 (million)
% 0.46/0.70 % (4007)------------------------------
% 0.46/0.70 % (4007)------------------------------
% 0.46/0.70 % (4004)------------------------------
% 0.46/0.70 % (4004)------------------------------
% 0.46/0.70 % (4000)Refutation not found, incomplete strategy% (4000)------------------------------
% 0.46/0.70 % (4000)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70 % (4000)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.70
% 0.46/0.70 % (4000)Memory used [KB]: 1039
% 0.46/0.70 % (4000)Time elapsed: 0.004 s
% 0.46/0.70 % (4000)Instructions burned: 4 (million)
% 0.46/0.70 % (4000)------------------------------
% 0.46/0.70 % (4000)------------------------------
% 0.46/0.70 % (4006)First to succeed.
% 0.46/0.70 % (4002)Also succeeded, but the first one will report.
% 0.46/0.70 % (4003)Also succeeded, but the first one will report.
% 0.46/0.70 % (4006)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3999"
% 0.46/0.70 % (4001)Also succeeded, but the first one will report.
% 0.46/0.70 % (4006)Refutation found. Thanks to Tanya!
% 0.46/0.70 % SZS status Theorem for Vampire---4
% 0.46/0.70 % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.70 % (4006)------------------------------
% 0.46/0.70 % (4006)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70 % (4006)Termination reason: Refutation
% 0.46/0.70
% 0.46/0.70 % (4006)Memory used [KB]: 1039
% 0.46/0.70 % (4006)Time elapsed: 0.005 s
% 0.46/0.70 % (4006)Instructions burned: 7 (million)
% 0.46/0.70 % (3999)Success in time 0.385 s
% 0.46/0.70 % Vampire---4.8 exiting
%------------------------------------------------------------------------------