TSTP Solution File: HEN009-6 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN009-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 : Wed May 1 02:33:28 EDT 2024
% Result : Unsatisfiable 0.66s 0.76s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 61 ( 37 unt; 0 def)
% Number of atoms : 87 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 26 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1950,plain,
$false,
inference(avatar_sat_refutation,[],[f771,f1423,f1948]) ).
fof(f1948,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f1947]) ).
fof(f1947,plain,
( $false
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1935,f129]) ).
fof(f129,plain,
~ less_equal(b,d),
inference(unit_resulting_resolution,[],[f17,f125,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',less_equal_and_equal) ).
fof(f125,plain,
less_equal(d,b),
inference(superposition,[],[f63,f16]) ).
fof(f16,axiom,
divide(identity,c) = d,
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',id_divide_c_is_d) ).
fof(f63,plain,
! [X0] : less_equal(divide(X0,c),b),
inference(unit_resulting_resolution,[],[f37,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',property_of_divide1) ).
fof(f37,plain,
! [X0] : less_equal(divide(X0,b),c),
inference(subsumption_resolution,[],[f34,f7]) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',identity_is_largest) ).
fof(f34,plain,
! [X0] :
( less_equal(divide(X0,b),c)
| ~ less_equal(X0,identity) ),
inference(superposition,[],[f12,f15]) ).
fof(f15,axiom,
divide(identity,b) = c,
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',id_divide_b_is_c) ).
fof(f12,axiom,
! [X2,X0,X1] :
( less_equal(divide(X0,X2),divide(X1,X2))
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',property_of_divide3) ).
fof(f17,axiom,
b != d,
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',prove_b_equals_d) ).
fof(f1935,plain,
( less_equal(b,d)
| ~ spl0_12 ),
inference(superposition,[],[f3,f1882]) ).
fof(f1882,plain,
( b = divide(d,a)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1881,f1425]) ).
fof(f1425,plain,
( b = divide(b,zero)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f766,f1139]) ).
fof(f1139,plain,
b = divide(b,a),
inference(unit_resulting_resolution,[],[f27,f1119,f6]) ).
fof(f1119,plain,
less_equal(b,divide(b,a)),
inference(unit_resulting_resolution,[],[f788,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_equal(X0,X1)
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',quotient_less_equal2) ).
fof(f788,plain,
zero = divide(b,divide(b,a)),
inference(unit_resulting_resolution,[],[f5,f463,f6]) ).
fof(f463,plain,
less_equal(divide(b,divide(b,a)),zero),
inference(forward_demodulation,[],[f453,f102]) ).
fof(f102,plain,
zero = divide(c,a),
inference(unit_resulting_resolution,[],[f101,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',quotient_less_equal1) ).
fof(f101,plain,
less_equal(c,a),
inference(superposition,[],[f48,f15]) ).
fof(f48,plain,
! [X0] : less_equal(divide(X0,b),a),
inference(unit_resulting_resolution,[],[f27,f11]) ).
fof(f453,plain,
less_equal(divide(b,divide(b,a)),divide(c,a)),
inference(superposition,[],[f20,f15]) ).
fof(f20,plain,
! [X0] : less_equal(divide(b,divide(X0,a)),divide(divide(identity,X0),a)),
inference(superposition,[],[f4,f14]) ).
fof(f14,axiom,
divide(identity,a) = b,
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',id_divide_a_is_b) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',zero_is_smallest) ).
fof(f27,plain,
! [X0] : less_equal(divide(X0,a),b),
inference(subsumption_resolution,[],[f24,f7]) ).
fof(f24,plain,
! [X0] :
( less_equal(divide(X0,a),b)
| ~ less_equal(X0,identity) ),
inference(superposition,[],[f12,f14]) ).
fof(f766,plain,
( divide(b,zero) = divide(b,a)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f764,plain,
( spl0_12
<=> divide(b,zero) = divide(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1881,plain,
( divide(b,zero) = divide(d,a)
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1880,f207]) ).
fof(f207,plain,
! [X0] : less_equal(divide(d,X0),b),
inference(subsumption_resolution,[],[f202,f5]) ).
fof(f202,plain,
! [X0] :
( ~ less_equal(zero,X0)
| less_equal(divide(d,X0),b) ),
inference(superposition,[],[f11,f126]) ).
fof(f126,plain,
zero = divide(d,b),
inference(unit_resulting_resolution,[],[f125,f1]) ).
fof(f1880,plain,
( ~ less_equal(divide(d,a),b)
| divide(b,zero) = divide(d,a)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1873,f1425]) ).
fof(f1873,plain,
( ~ less_equal(divide(d,a),divide(b,zero))
| divide(b,zero) = divide(d,a) ),
inference(resolution,[],[f461,f6]) ).
fof(f461,plain,
less_equal(divide(b,zero),divide(d,a)),
inference(forward_demodulation,[],[f451,f16]) ).
fof(f451,plain,
less_equal(divide(b,zero),divide(divide(identity,c),a)),
inference(superposition,[],[f20,f102]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',quotient_smaller_than_numerator) ).
fof(f1423,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f1422]) ).
fof(f1422,plain,
( $false
| spl0_13 ),
inference(subsumption_resolution,[],[f1409,f1173]) ).
fof(f1173,plain,
( zero != divide(b,divide(b,zero))
| spl0_13 ),
inference(unit_resulting_resolution,[],[f1146,f2]) ).
fof(f1146,plain,
( ~ less_equal(b,divide(b,zero))
| spl0_13 ),
inference(superposition,[],[f770,f1139]) ).
fof(f770,plain,
( ~ less_equal(divide(b,a),divide(b,zero))
| spl0_13 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f768,plain,
( spl0_13
<=> less_equal(divide(b,a),divide(b,zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1409,plain,
zero = divide(b,divide(b,zero)),
inference(unit_resulting_resolution,[],[f5,f850,f6]) ).
fof(f850,plain,
! [X0] : less_equal(divide(b,divide(b,X0)),X0),
inference(unit_resulting_resolution,[],[f58,f11]) ).
fof(f58,plain,
! [X0] : less_equal(divide(b,X0),divide(b,X0)),
inference(unit_resulting_resolution,[],[f56,f12]) ).
fof(f56,plain,
less_equal(b,b),
inference(superposition,[],[f27,f14]) ).
fof(f771,plain,
( spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f762,f768,f764]) ).
fof(f762,plain,
( ~ less_equal(divide(b,a),divide(b,zero))
| divide(b,zero) = divide(b,a) ),
inference(resolution,[],[f426,f6]) ).
fof(f426,plain,
less_equal(divide(b,zero),divide(b,a)),
inference(forward_demodulation,[],[f417,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.xdPIjwOzDy/Vampire---4.8_6014',x_divide_x_is_zero) ).
fof(f417,plain,
less_equal(divide(b,divide(a,a)),divide(b,a)),
inference(superposition,[],[f19,f14]) ).
fof(f19,plain,
! [X0] : less_equal(divide(divide(identity,X0),divide(a,X0)),divide(b,X0)),
inference(superposition,[],[f4,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN009-6 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 16:44:28 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.35 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.xdPIjwOzDy/Vampire---4.8_6014
% 0.55/0.73 % (6271)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)
% 0.55/0.74 % (6265)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)
% 0.55/0.74 % (6267)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74 % (6268)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)
% 0.55/0.74 % (6270)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)
% 0.55/0.74 % (6269)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)
% 0.55/0.74 % (6266)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)
% 0.55/0.74 % (6268)Refutation not found, incomplete strategy% (6268)------------------------------
% 0.55/0.74 % (6268)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (6268)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (6268)Memory used [KB]: 968
% 0.55/0.74 % (6268)Time elapsed: 0.003 s
% 0.55/0.74 % (6268)Instructions burned: 2 (million)
% 0.55/0.74 % (6268)------------------------------
% 0.55/0.74 % (6268)------------------------------
% 0.55/0.74 % (6269)Refutation not found, incomplete strategy% (6269)------------------------------
% 0.55/0.74 % (6269)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (6269)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (6269)Memory used [KB]: 980
% 0.55/0.74 % (6269)Time elapsed: 0.003 s
% 0.55/0.74 % (6269)Instructions burned: 2 (million)
% 0.55/0.74 % (6269)------------------------------
% 0.55/0.74 % (6269)------------------------------
% 0.55/0.74 % (6270)Refutation not found, incomplete strategy% (6270)------------------------------
% 0.55/0.74 % (6270)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (6270)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (6270)Memory used [KB]: 979
% 0.55/0.74 % (6270)Time elapsed: 0.003 s
% 0.55/0.74 % (6270)Instructions burned: 3 (million)
% 0.55/0.74 % (6270)------------------------------
% 0.55/0.74 % (6270)------------------------------
% 0.55/0.74 % (6272)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)
% 0.55/0.74 % (6273)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 (2996ds/55Mi)
% 0.55/0.74 % (6275)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 (2996ds/208Mi)
% 0.55/0.74 % (6272)Refutation not found, incomplete strategy% (6272)------------------------------
% 0.55/0.74 % (6272)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74 % (6272)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (6272)Memory used [KB]: 978
% 0.55/0.74 % (6272)Time elapsed: 0.003 s
% 0.55/0.74 % (6272)Instructions burned: 2 (million)
% 0.55/0.74 % (6272)------------------------------
% 0.55/0.74 % (6272)------------------------------
% 0.55/0.75 % (6274)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 (2996ds/50Mi)
% 0.55/0.75 % (6274)Refutation not found, incomplete strategy% (6274)------------------------------
% 0.55/0.75 % (6274)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (6274)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (6274)Memory used [KB]: 962
% 0.55/0.75 % (6274)Time elapsed: 0.003 s
% 0.55/0.75 % (6274)Instructions burned: 2 (million)
% 0.55/0.75 % (6274)------------------------------
% 0.55/0.75 % (6274)------------------------------
% 0.55/0.75 % (6276)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 (2996ds/52Mi)
% 0.55/0.75 % (6265)Instruction limit reached!
% 0.55/0.75 % (6265)------------------------------
% 0.55/0.75 % (6265)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (6265)Termination reason: Unknown
% 0.55/0.75 % (6265)Termination phase: Saturation
% 0.55/0.75
% 0.55/0.75 % (6265)Memory used [KB]: 1123
% 0.55/0.75 % (6265)Time elapsed: 0.017 s
% 0.55/0.75 % (6265)Instructions burned: 34 (million)
% 0.55/0.75 % (6265)------------------------------
% 0.55/0.75 % (6265)------------------------------
% 0.55/0.75 % (6277)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 (2996ds/518Mi)
% 0.55/0.75 % (6277)Refutation not found, incomplete strategy% (6277)------------------------------
% 0.55/0.75 % (6277)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (6277)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (6277)Memory used [KB]: 980
% 0.55/0.75 % (6277)Time elapsed: 0.003 s
% 0.55/0.75 % (6277)Instructions burned: 3 (million)
% 0.55/0.75 % (6277)------------------------------
% 0.55/0.75 % (6277)------------------------------
% 0.55/0.75 % (6271)First to succeed.
% 0.55/0.75 % (6278)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 (2996ds/42Mi)
% 0.55/0.76 % (6278)Refutation not found, incomplete strategy% (6278)------------------------------
% 0.55/0.76 % (6278)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (6278)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.66/0.76 % (6271)Refutation found. Thanks to Tanya!
% 0.66/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.66/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.76 % (6271)------------------------------
% 0.66/0.76 % (6271)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.76 % (6271)Termination reason: Refutation
% 0.66/0.76
% 0.66/0.76 % (6271)Memory used [KB]: 1454
% 0.66/0.76 % (6271)Time elapsed: 0.022 s
% 0.66/0.76 % (6271)Instructions burned: 60 (million)
% 0.66/0.76 % (6271)------------------------------
% 0.66/0.76 % (6271)------------------------------
% 0.66/0.76 % (6261)Success in time 0.394 s
% 0.66/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------