TSTP Solution File: NUM478+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM478+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 : n004.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 08:12:22 EDT 2024
% Result : Theorem 0.59s 0.82s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 78 ( 32 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 88 ( 42 ~; 30 |; 12 &)
% ( 0 <=>; 4 =>; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f853,plain,
$false,
inference(subsumption_resolution,[],[f844,f113]) ).
fof(f113,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/tmp.oJLlg89uix/Vampire---4.8_22311',m__1553) ).
fof(f844,plain,
~ aNaturalNumber0(xn),
inference(trivial_inequality_removal,[],[f820]) ).
fof(f820,plain,
( sdtasdt0(xm,xn) != sdtasdt0(xm,xn)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f625,f362]) ).
fof(f362,plain,
! [X0] :
( sdtasdt0(xm,X0) = sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),X0))
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f361,f107]) ).
fof(f107,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/tmp/tmp.oJLlg89uix/Vampire---4.8_22311',m__1524) ).
fof(f361,plain,
! [X0] :
( sdtasdt0(xm,X0) = sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) ),
inference(subsumption_resolution,[],[f315,f114]) ).
fof(f114,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( sdtasdt0(xn,sdtsldt0(xm,xl)) != sdtsldt0(sdtasdt0(xn,xm),xl)
& sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
( sdtasdt0(xn,sdtsldt0(xm,xl)) != sdtsldt0(sdtasdt0(xn,xm),xl)
& sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
( ( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl)
| sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.oJLlg89uix/Vampire---4.8_22311',m__) ).
fof(f315,plain,
! [X0] :
( sdtasdt0(xm,X0) = sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f124,f115]) ).
fof(f115,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f43]) ).
fof(f124,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.oJLlg89uix/Vampire---4.8_22311',mMulAsso) ).
fof(f625,plain,
sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),xn)) != sdtasdt0(xm,xn),
inference(subsumption_resolution,[],[f624,f108]) ).
fof(f108,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f36]) ).
fof(f624,plain,
( sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),xn)) != sdtasdt0(xm,xn)
| ~ aNaturalNumber0(xm) ),
inference(subsumption_resolution,[],[f622,f113]) ).
fof(f622,plain,
( sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),xn)) != sdtasdt0(xm,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f473,f125]) ).
fof(f125,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oJLlg89uix/Vampire---4.8_22311',mMulComm) ).
fof(f473,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),xn)),
inference(subsumption_resolution,[],[f472,f113]) ).
fof(f472,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),xn))
| ~ aNaturalNumber0(xn) ),
inference(subsumption_resolution,[],[f466,f114]) ).
fof(f466,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),xn))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f116,f125]) ).
fof(f116,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : NUM478+2 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.12 % 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
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 14:09:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.oJLlg89uix/Vampire---4.8_22311
% 0.59/0.80 % (22428)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)
% 0.59/0.80 % (22426)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)
% 0.59/0.80 % (22430)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)
% 0.59/0.80 % (22425)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)
% 0.59/0.80 % (22429)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)
% 0.59/0.80 % (22427)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80 % (22431)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)
% 0.59/0.80 % (22432)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)
% 0.59/0.82 % (22428)Instruction limit reached!
% 0.59/0.82 % (22428)------------------------------
% 0.59/0.82 % (22428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (22429)Instruction limit reached!
% 0.59/0.82 % (22429)------------------------------
% 0.59/0.82 % (22429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (22428)Termination reason: Unknown
% 0.59/0.82 % (22428)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (22428)Memory used [KB]: 1412
% 0.59/0.82 % (22428)Time elapsed: 0.019 s
% 0.59/0.82 % (22428)Instructions burned: 34 (million)
% 0.59/0.82 % (22428)------------------------------
% 0.59/0.82 % (22428)------------------------------
% 0.59/0.82 % (22429)Termination reason: Unknown
% 0.59/0.82 % (22429)Termination phase: Saturation
% 0.59/0.82
% 0.59/0.82 % (22429)Memory used [KB]: 1507
% 0.59/0.82 % (22429)Time elapsed: 0.019 s
% 0.59/0.82 % (22429)Instructions burned: 34 (million)
% 0.59/0.82 % (22429)------------------------------
% 0.59/0.82 % (22429)------------------------------
% 0.59/0.82 % (22430)First to succeed.
% 0.59/0.82 % (22430)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22422"
% 0.59/0.82 % (22425)Instruction limit reached!
% 0.59/0.82 % (22425)------------------------------
% 0.59/0.82 % (22425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (22430)Refutation found. Thanks to Tanya!
% 0.59/0.82 % SZS status Theorem for Vampire---4
% 0.59/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.82 % (22430)------------------------------
% 0.59/0.82 % (22430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82 % (22430)Termination reason: Refutation
% 0.59/0.82
% 0.59/0.82 % (22430)Memory used [KB]: 1257
% 0.59/0.82 % (22430)Time elapsed: 0.019 s
% 0.59/0.82 % (22430)Instructions burned: 36 (million)
% 0.59/0.82 % (22422)Success in time 0.497 s
% 0.59/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------