TSTP Solution File: NUM468+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM468+2 : 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 : n015.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 08:12:18 EDT 2024
% Result : Theorem 0.80s 0.84s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 65 ( 32 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 29 ~; 15 |; 21 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f511,plain,
$false,
inference(trivial_inequality_removal,[],[f510]) ).
fof(f510,plain,
sdtpldt0(xm,xn) != sdtpldt0(xm,xn),
inference(forward_demodulation,[],[f505,f118]) ).
fof(f118,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
& xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& sz00 != xl ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
( sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
& xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& sz00 != xl ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ( sz00 != xl
=> ( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( ( xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl)) )
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
( sz00 != xl
=> ( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( ( xn = sdtasdt0(xl,sdtsldt0(xn,xl))
& aNaturalNumber0(sdtsldt0(xn,xl)) )
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cO7yeIMIkV/Vampire---4.8_24570',m__) ).
fof(f505,plain,
sdtpldt0(xm,xn) != sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),xn),
inference(forward_demodulation,[],[f504,f120]) ).
fof(f120,plain,
xn = sdtasdt0(xl,sdtsldt0(xn,xl)),
inference(cnf_transformation,[],[f41]) ).
fof(f504,plain,
sdtpldt0(xm,xn) != sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl))),
inference(subsumption_resolution,[],[f503,f107]) ).
fof(f107,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/tmp/tmp.cO7yeIMIkV/Vampire---4.8_24570',m__1240) ).
fof(f503,plain,
( sdtpldt0(xm,xn) != sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f502,f117]) ).
fof(f117,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f41]) ).
fof(f502,plain,
( sdtpldt0(xm,xn) != sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f501,f119]) ).
fof(f119,plain,
aNaturalNumber0(sdtsldt0(xn,xl)),
inference(cnf_transformation,[],[f41]) ).
fof(f501,plain,
( sdtpldt0(xm,xn) != sdtpldt0(sdtasdt0(xl,sdtsldt0(xm,xl)),sdtasdt0(xl,sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f121,f136]) ).
fof(f136,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cO7yeIMIkV/Vampire---4.8_24570',mAMDistr) ).
fof(f121,plain,
sdtpldt0(xm,xn) != sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(cnf_transformation,[],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM468+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % 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
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 14:37:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36 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.cO7yeIMIkV/Vampire---4.8_24570
% 0.59/0.79 % (24681)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)
% 0.59/0.79 % (24684)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)
% 0.59/0.79 % (24685)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)
% 0.59/0.79 % (24682)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)
% 0.59/0.79 % (24680)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79 % (24683)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)
% 0.59/0.79 % (24679)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)
% 0.59/0.79 % (24678)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)
% 0.59/0.81 % (24681)Instruction limit reached!
% 0.59/0.81 % (24681)------------------------------
% 0.59/0.81 % (24681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (24681)Termination reason: Unknown
% 0.59/0.81 % (24681)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (24681)Memory used [KB]: 1455
% 0.59/0.81 % (24681)Time elapsed: 0.018 s
% 0.59/0.81 % (24681)Instructions burned: 33 (million)
% 0.59/0.81 % (24681)------------------------------
% 0.59/0.81 % (24681)------------------------------
% 0.59/0.81 % (24682)Instruction limit reached!
% 0.59/0.81 % (24682)------------------------------
% 0.59/0.81 % (24682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (24682)Termination reason: Unknown
% 0.59/0.81 % (24682)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (24682)Memory used [KB]: 1540
% 0.59/0.81 % (24682)Time elapsed: 0.019 s
% 0.59/0.81 % (24682)Instructions burned: 34 (million)
% 0.59/0.81 % (24682)------------------------------
% 0.59/0.81 % (24682)------------------------------
% 0.59/0.82 % (24687)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 (2995ds/50Mi)
% 0.59/0.82 % (24678)Instruction limit reached!
% 0.59/0.82 % (24678)------------------------------
% 0.59/0.82 % (24678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (24678)Termination reason: Unknown
% 0.59/0.82 % (24678)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (24678)Memory used [KB]: 1370
% 0.59/0.82 % (24678)Time elapsed: 0.023 s
% 0.59/0.82 % (24678)Instructions burned: 34 (million)
% 0.59/0.82 % (24678)------------------------------
% 0.59/0.82 % (24678)------------------------------
% 0.59/0.82 % (24683)Instruction limit reached!
% 0.59/0.82 % (24683)------------------------------
% 0.59/0.82 % (24683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (24683)Termination reason: Unknown
% 0.59/0.82 % (24683)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (24683)Memory used [KB]: 1428
% 0.59/0.82 % (24683)Time elapsed: 0.025 s
% 0.59/0.82 % (24683)Instructions burned: 47 (million)
% 0.59/0.82 % (24683)------------------------------
% 0.59/0.82 % (24683)------------------------------
% 0.59/0.82 % (24685)Instruction limit reached!
% 0.59/0.82 % (24685)------------------------------
% 0.59/0.82 % (24685)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (24685)Termination reason: Unknown
% 0.59/0.82 % (24685)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (24685)Memory used [KB]: 1644
% 0.59/0.82 % (24685)Time elapsed: 0.027 s
% 0.59/0.82 % (24685)Instructions burned: 56 (million)
% 0.59/0.82 % (24685)------------------------------
% 0.59/0.82 % (24685)------------------------------
% 0.59/0.82 % (24686)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 (2995ds/55Mi)
% 0.59/0.82 % (24688)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 (2995ds/208Mi)
% 0.59/0.82 % (24689)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.59/0.82 % (24690)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 (2995ds/518Mi)
% 0.59/0.82 % (24679)Instruction limit reached!
% 0.59/0.82 % (24679)------------------------------
% 0.59/0.82 % (24679)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (24679)Termination reason: Unknown
% 0.59/0.82 % (24679)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (24679)Memory used [KB]: 1864
% 0.59/0.82 % (24679)Time elapsed: 0.031 s
% 0.59/0.82 % (24679)Instructions burned: 52 (million)
% 0.59/0.82 % (24679)------------------------------
% 0.59/0.82 % (24679)------------------------------
% 0.59/0.83 % (24684)Instruction limit reached!
% 0.59/0.83 % (24684)------------------------------
% 0.59/0.83 % (24684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83 % (24684)Termination reason: Unknown
% 0.59/0.83 % (24684)Termination phase: Saturation
% 0.59/0.83
% 0.59/0.83 % (24684)Memory used [KB]: 1873
% 0.59/0.83 % (24684)Time elapsed: 0.034 s
% 0.59/0.83 % (24684)Instructions burned: 84 (million)
% 0.59/0.83 % (24684)------------------------------
% 0.59/0.83 % (24684)------------------------------
% 0.80/0.83 % (24691)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.80/0.83 % (24692)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.80/0.83 % (24691)Refutation not found, incomplete strategy% (24691)------------------------------
% 0.80/0.83 % (24691)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.83 % (24691)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.83
% 0.80/0.83 % (24691)Memory used [KB]: 1082
% 0.80/0.83 % (24691)Time elapsed: 0.004 s
% 0.80/0.83 % (24691)Instructions burned: 5 (million)
% 0.80/0.83 % (24691)------------------------------
% 0.80/0.83 % (24691)------------------------------
% 0.80/0.84 % (24680)Instruction limit reached!
% 0.80/0.84 % (24680)------------------------------
% 0.80/0.84 % (24680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.84 % (24680)Termination reason: Unknown
% 0.80/0.84 % (24680)Termination phase: Saturation
% 0.80/0.84
% 0.80/0.84 % (24680)Memory used [KB]: 1610
% 0.80/0.84 % (24680)Time elapsed: 0.043 s
% 0.80/0.84 % (24680)Instructions burned: 79 (million)
% 0.80/0.84 % (24680)------------------------------
% 0.80/0.84 % (24680)------------------------------
% 0.80/0.84 % (24690)First to succeed.
% 0.80/0.84 % (24690)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24677"
% 0.80/0.84 % (24690)Refutation found. Thanks to Tanya!
% 0.80/0.84 % SZS status Theorem for Vampire---4
% 0.80/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.80/0.84 % (24690)------------------------------
% 0.80/0.84 % (24690)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.80/0.84 % (24690)Termination reason: Refutation
% 0.80/0.84
% 0.80/0.84 % (24690)Memory used [KB]: 1336
% 0.80/0.84 % (24690)Time elapsed: 0.014 s
% 0.80/0.84 % (24690)Instructions burned: 30 (million)
% 0.80/0.84 % (24677)Success in time 0.472 s
% 0.80/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------