TSTP Solution File: HEN005-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN005-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 06:11:37 EDT 2024
% Result : Unsatisfiable 0.66s 0.81s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 15 unt; 0 def)
% Number of atoms : 69 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 38 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f256,plain,
$false,
inference(resolution,[],[f246,f12]) ).
fof(f12,axiom,
~ less_equal(x,z),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',prove_transitivity_of_less_equal) ).
fof(f246,plain,
less_equal(x,z),
inference(resolution,[],[f237,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',less_equal_quotient) ).
fof(f237,plain,
quotient(x,z,zero),
inference(superposition,[],[f8,f218]) ).
fof(f218,plain,
zero = divide(x,z),
inference(resolution,[],[f215,f17]) ).
fof(f17,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',less_equal_and_equal) ).
fof(f215,plain,
less_equal(divide(x,z),zero),
inference(resolution,[],[f159,f11]) ).
fof(f11,axiom,
less_equal(y,z),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',yLEz) ).
fof(f159,plain,
! [X0] :
( ~ less_equal(y,X0)
| less_equal(divide(x,X0),zero) ),
inference(superposition,[],[f137,f66]) ).
fof(f66,plain,
! [X0,X1] :
( zero = divide(X0,X1)
| ~ less_equal(X0,X1) ),
inference(resolution,[],[f55,f8]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ quotient(X1,X2,X0)
| zero = X0
| ~ less_equal(X1,X2) ),
inference(resolution,[],[f9,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',quotient_less_equal) ).
fof(f9,axiom,
! [X2,X0,X1,X8] :
( ~ quotient(X0,X1,X8)
| X2 = X8
| ~ quotient(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',well_defined) ).
fof(f137,plain,
! [X0] : less_equal(divide(x,X0),divide(y,X0)),
inference(resolution,[],[f132,f2]) ).
fof(f132,plain,
! [X0] : quotient(divide(x,X0),divide(y,X0),zero),
inference(resolution,[],[f125,f10]) ).
fof(f10,axiom,
less_equal(x,y),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',xLEy) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ less_equal(X0,X2)
| quotient(divide(X0,X1),divide(X2,X1),zero) ),
inference(resolution,[],[f119,f8]) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X1,X2)
| quotient(X2,divide(X3,X1),zero)
| ~ less_equal(X0,X3) ),
inference(resolution,[],[f97,f1]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X3,zero)
| ~ quotient(X0,X1,X2)
| quotient(X2,divide(X3,X1),zero) ),
inference(resolution,[],[f96,f8]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X4] :
( ~ quotient(X3,X1,X4)
| ~ quotient(X0,X1,X2)
| ~ quotient(X0,X3,zero)
| quotient(X2,X4,zero) ),
inference(resolution,[],[f90,f49]) ).
fof(f49,plain,
! [X0] : quotient(zero,X0,zero),
inference(superposition,[],[f8,f47]) ).
fof(f47,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f17,f14]) ).
fof(f14,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[],[f3,f8]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',divisor_existence) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ quotient(X5,X3,zero)
| ~ quotient(X2,X3,X0)
| ~ quotient(X4,X3,X1)
| ~ quotient(X2,X4,X5)
| quotient(X0,X1,zero) ),
inference(superposition,[],[f8,f84]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X4,X5] :
( zero = divide(X3,X5)
| ~ quotient(X2,X1,X3)
| ~ quotient(X4,X1,X5)
| ~ quotient(X2,X4,X0)
| ~ quotient(X0,X1,zero) ),
inference(resolution,[],[f80,f17]) ).
fof(f80,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( less_equal(divide(X3,X4),X2)
| ~ quotient(X0,X1,X2)
| ~ quotient(X5,X1,X3)
| ~ quotient(X6,X1,X4)
| ~ quotient(X5,X6,X0) ),
inference(resolution,[],[f4,f8]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| ~ quotient(X3,X2,X7)
| less_equal(X6,X7)
| ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',quotient_property) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839',closure) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HEN005-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 12:43:04 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.FvNJYfM2m6/Vampire---4.8_11839
% 0.66/0.80 % (12149)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)
% 0.66/0.80 % (12149)Refutation not found, incomplete strategy% (12149)------------------------------
% 0.66/0.80 % (12149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (12149)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.80
% 0.66/0.80 % (12149)Memory used [KB]: 957
% 0.66/0.80 % (12149)Time elapsed: 0.002 s
% 0.66/0.80 % (12149)Instructions burned: 2 (million)
% 0.66/0.80 % (12149)------------------------------
% 0.66/0.80 % (12149)------------------------------
% 0.66/0.80 % (12145)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.80 % (12144)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)
% 0.66/0.80 % (12143)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)
% 0.66/0.80 % (12146)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)
% 0.66/0.80 % (12147)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)
% 0.66/0.80 % (12148)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)
% 0.66/0.80 % (12145)Refutation not found, incomplete strategy% (12145)------------------------------
% 0.66/0.80 % (12145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (12145)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.80
% 0.66/0.80 % (12143)Refutation not found, incomplete strategy% (12143)------------------------------
% 0.66/0.80 % (12143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (12145)Memory used [KB]: 957
% 0.66/0.80 % (12143)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.80
% 0.66/0.80 % (12143)Memory used [KB]: 957
% 0.66/0.80 % (12143)Time elapsed: 0.002 s
% 0.66/0.80 % (12146)Refutation not found, incomplete strategy% (12146)------------------------------
% 0.66/0.80 % (12146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (12143)Instructions burned: 2 (million)
% 0.66/0.80 % (12146)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.80
% 0.66/0.80 % (12146)Memory used [KB]: 957
% 0.66/0.80 % (12146)Time elapsed: 0.002 s
% 0.66/0.80 % (12146)Instructions burned: 2 (million)
% 0.66/0.80 % (12145)Time elapsed: 0.002 s
% 0.66/0.80 % (12148)Refutation not found, incomplete strategy% (12148)------------------------------
% 0.66/0.80 % (12148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (12145)Instructions burned: 2 (million)
% 0.66/0.80 % (12148)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.80
% 0.66/0.80 % (12148)Memory used [KB]: 957
% 0.66/0.80 % (12148)Time elapsed: 0.002 s
% 0.66/0.80 % (12148)Instructions burned: 2 (million)
% 0.66/0.80 % (12147)Refutation not found, incomplete strategy% (12147)------------------------------
% 0.66/0.80 % (12147)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.80 % (12147)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.80 % (12143)------------------------------
% 0.66/0.80 % (12143)------------------------------
% 0.66/0.80 % (12146)------------------------------
% 0.66/0.80 % (12146)------------------------------
% 0.66/0.80
% 0.66/0.80 % (12147)Memory used [KB]: 961
% 0.66/0.80 % (12147)Time elapsed: 0.002 s
% 0.66/0.80 % (12147)Instructions burned: 2 (million)
% 0.66/0.80 % (12145)------------------------------
% 0.66/0.80 % (12145)------------------------------
% 0.66/0.80 % (12148)------------------------------
% 0.66/0.80 % (12148)------------------------------
% 0.66/0.80 % (12147)------------------------------
% 0.66/0.80 % (12147)------------------------------
% 0.66/0.81 % (12150)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)
% 0.66/0.81 % (12150)Refutation not found, incomplete strategy% (12150)------------------------------
% 0.66/0.81 % (12150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (12150)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81
% 0.66/0.81 % (12150)Memory used [KB]: 957
% 0.66/0.81 % (12150)Time elapsed: 0.001 s
% 0.66/0.81 % (12150)Instructions burned: 2 (million)
% 0.66/0.81 % (12150)------------------------------
% 0.66/0.81 % (12150)------------------------------
% 0.66/0.81 % (12154)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)
% 0.66/0.81 % (12151)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)
% 0.66/0.81 % (12153)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)
% 0.66/0.81 % (12152)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)
% 0.66/0.81 % (12155)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)
% 0.66/0.81 % (12156)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)
% 0.66/0.81 % (12151)Refutation not found, incomplete strategy% (12151)------------------------------
% 0.66/0.81 % (12151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (12151)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81
% 0.66/0.81 % (12151)Memory used [KB]: 957
% 0.66/0.81 % (12151)Time elapsed: 0.003 s
% 0.66/0.81 % (12151)Instructions burned: 2 (million)
% 0.66/0.81 % (12153)Refutation not found, incomplete strategy% (12153)------------------------------
% 0.66/0.81 % (12153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (12153)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81
% 0.66/0.81 % (12153)Memory used [KB]: 957
% 0.66/0.81 % (12153)Time elapsed: 0.003 s
% 0.66/0.81 % (12153)Instructions burned: 2 (million)
% 0.66/0.81 % (12153)------------------------------
% 0.66/0.81 % (12153)------------------------------
% 0.66/0.81 % (12151)------------------------------
% 0.66/0.81 % (12151)------------------------------
% 0.66/0.81 % (12157)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)
% 0.66/0.81 % (12156)Refutation not found, incomplete strategy% (12156)------------------------------
% 0.66/0.81 % (12156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (12156)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81
% 0.66/0.81 % (12155)Refutation not found, incomplete strategy% (12155)------------------------------
% 0.66/0.81 % (12155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (12155)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81
% 0.66/0.81 % (12155)Memory used [KB]: 977
% 0.66/0.81 % (12155)Time elapsed: 0.003 s
% 0.66/0.81 % (12155)Instructions burned: 2 (million)
% 0.66/0.81 % (12156)Memory used [KB]: 963
% 0.66/0.81 % (12156)Time elapsed: 0.002 s
% 0.66/0.81 % (12156)Instructions burned: 2 (million)
% 0.66/0.81 % (12155)------------------------------
% 0.66/0.81 % (12155)------------------------------
% 0.66/0.81 % (12157)Refutation not found, incomplete strategy% (12157)------------------------------
% 0.66/0.81 % (12157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (12157)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81
% 0.66/0.81 % (12157)Memory used [KB]: 975
% 0.66/0.81 % (12157)Time elapsed: 0.001 s
% 0.66/0.81 % (12157)Instructions burned: 2 (million)
% 0.66/0.81 % (12156)------------------------------
% 0.66/0.81 % (12156)------------------------------
% 0.66/0.81 % (12157)------------------------------
% 0.66/0.81 % (12157)------------------------------
% 0.66/0.81 % (12144)First to succeed.
% 0.66/0.81 % (12144)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12070"
% 0.66/0.81 % (12144)Refutation found. Thanks to Tanya!
% 0.66/0.81 % SZS status Unsatisfiable for Vampire---4
% 0.66/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.81 % (12144)------------------------------
% 0.66/0.81 % (12144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.81 % (12144)Termination reason: Refutation
% 0.66/0.81
% 0.66/0.81 % (12144)Memory used [KB]: 1092
% 0.66/0.81 % (12144)Time elapsed: 0.010 s
% 0.66/0.81 % (12144)Instructions burned: 12 (million)
% 0.66/0.81 % (12070)Success in time 0.44 s
% 0.66/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------