TSTP Solution File: HEN009-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN009-6 : TPTP v8.2.0. 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 : n003.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 : Mon May 20 21:34:34 EDT 2024
% Result : Unsatisfiable 0.64s 0.81s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 23 unt; 0 def)
% Number of atoms : 66 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 24 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f949,plain,
$false,
inference(avatar_sat_refutation,[],[f155,f910,f941]) ).
fof(f941,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f940]) ).
fof(f940,plain,
( $false
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f926]) ).
fof(f926,plain,
( b != b
| ~ spl0_13 ),
inference(superposition,[],[f17,f154]) ).
fof(f154,plain,
( b = d
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl0_13
<=> b = d ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f17,axiom,
b != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_equals_d) ).
fof(f910,plain,
spl0_12,
inference(avatar_split_clause,[],[f909,f148]) ).
fof(f148,plain,
( spl0_12
<=> less_equal(b,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f909,plain,
less_equal(b,d),
inference(forward_demodulation,[],[f905,f14]) ).
fof(f14,axiom,
divide(identity,a) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_a_is_b) ).
fof(f905,plain,
less_equal(divide(identity,a),d),
inference(resolution,[],[f896,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f896,plain,
less_equal(divide(identity,d),a),
inference(resolution,[],[f855,f133]) ).
fof(f133,plain,
less_equal(c,a),
inference(forward_demodulation,[],[f124,f15]) ).
fof(f15,axiom,
divide(identity,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_b_is_c) ).
fof(f124,plain,
less_equal(divide(identity,b),a),
inference(superposition,[],[f110,f14]) ).
fof(f110,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[],[f11,f75]) ).
fof(f75,plain,
! [X0] : less_equal(X0,X0),
inference(trivial_inequality_removal,[],[f71]) ).
fof(f71,plain,
! [X0] :
( zero != zero
| less_equal(X0,X0) ),
inference(superposition,[],[f2,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
fof(f855,plain,
! [X0] :
( ~ less_equal(c,X0)
| less_equal(divide(identity,d),X0) ),
inference(resolution,[],[f721,f126]) ).
fof(f126,plain,
less_equal(divide(identity,d),c),
inference(superposition,[],[f110,f16]) ).
fof(f16,axiom,
divide(identity,c) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id_divide_c_is_d) ).
fof(f721,plain,
! [X2,X0,X1] :
( ~ less_equal(X2,X0)
| less_equal(X2,X1)
| ~ less_equal(X0,X1) ),
inference(forward_demodulation,[],[f708,f638]) ).
fof(f638,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f90,f201]) ).
fof(f201,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f199]) ).
fof(f199,plain,
! [X0] :
( zero != zero
| less_equal(X0,divide(X0,zero)) ),
inference(superposition,[],[f2,f123]) ).
fof(f123,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f110,f91]) ).
fof(f91,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f90,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f708,plain,
! [X2,X0,X1] :
( less_equal(divide(X2,zero),X1)
| ~ less_equal(X2,X0)
| ~ less_equal(X0,X1) ),
inference(superposition,[],[f516,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( divide(X0,X1) = zero
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f516,plain,
! [X2,X0,X1] :
( less_equal(divide(X0,divide(X1,X2)),X2)
| ~ less_equal(X0,X1) ),
inference(resolution,[],[f12,f11]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( less_equal(divide(X0,X2),divide(X1,X2))
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).
fof(f155,plain,
( ~ spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f146,f152,f148]) ).
fof(f146,plain,
( b = d
| ~ less_equal(b,d) ),
inference(resolution,[],[f134,f6]) ).
fof(f134,plain,
less_equal(d,b),
inference(forward_demodulation,[],[f125,f16]) ).
fof(f125,plain,
less_equal(divide(identity,c),b),
inference(superposition,[],[f110,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.16 % Problem : HEN009-6 : TPTP v8.2.0. Released v1.0.0.
% 0.18/0.18 % 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
% 0.18/0.40 % Computer : n003.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Sun May 19 22:52:53 EDT 2024
% 0.18/0.41 % CPUTime :
% 0.18/0.41 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.27/0.41 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/benchmark/theBenchmark.p
% 0.64/0.79 % (28908)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.64/0.79 % (28906)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.64/0.79 % (28907)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 theBenchmark for (2996ds/83Mi)
% 0.64/0.79 % (28905)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 theBenchmark for (2996ds/34Mi)
% 0.64/0.79 % (28901)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 theBenchmark for (2996ds/34Mi)
% 0.64/0.79 % (28904)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.64/0.79 % (28903)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.64/0.79 % (28908)Refutation not found, incomplete strategy% (28908)------------------------------
% 0.64/0.79 % (28908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79 % (28905)Refutation not found, incomplete strategy% (28905)------------------------------
% 0.64/0.79 % (28905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79 % (28905)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.79
% 0.64/0.79 % (28905)Memory used [KB]: 988
% 0.64/0.79 % (28905)Time elapsed: 0.003 s
% 0.64/0.79 % (28905)Instructions burned: 2 (million)
% 0.64/0.79 % (28908)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.79
% 0.64/0.79 % (28908)Memory used [KB]: 986
% 0.64/0.79 % (28908)Time elapsed: 0.003 s
% 0.64/0.79 % (28908)Instructions burned: 2 (million)
% 0.64/0.79 % (28904)Refutation not found, incomplete strategy% (28904)------------------------------
% 0.64/0.79 % (28904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79 % (28906)Refutation not found, incomplete strategy% (28906)------------------------------
% 0.64/0.79 % (28906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79 % (28906)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.79
% 0.64/0.79 % (28906)Memory used [KB]: 987
% 0.64/0.79 % (28906)Time elapsed: 0.004 s
% 0.64/0.79 % (28906)Instructions burned: 3 (million)
% 0.64/0.79 % (28904)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.79
% 0.64/0.79 % (28904)Memory used [KB]: 977
% 0.64/0.79 % (28904)Time elapsed: 0.003 s
% 0.64/0.79 % (28904)Instructions burned: 2 (million)
% 0.64/0.79 % (28905)------------------------------
% 0.64/0.79 % (28905)------------------------------
% 0.64/0.80 % (28908)------------------------------
% 0.64/0.80 % (28908)------------------------------
% 0.64/0.80 % (28906)------------------------------
% 0.64/0.80 % (28906)------------------------------
% 0.64/0.80 % (28904)------------------------------
% 0.64/0.80 % (28904)------------------------------
% 0.64/0.80 % (28902)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 theBenchmark for (2996ds/51Mi)
% 0.64/0.80 % (28912)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 theBenchmark for (2996ds/52Mi)
% 0.64/0.80 % (28910)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 theBenchmark for (2996ds/50Mi)
% 0.64/0.80 % (28909)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 theBenchmark for (2996ds/55Mi)
% 0.64/0.80 % (28910)Refutation not found, incomplete strategy% (28910)------------------------------
% 0.64/0.80 % (28910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (28910)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.80
% 0.64/0.80 % (28910)Memory used [KB]: 970
% 0.64/0.80 % (28910)Time elapsed: 0.002 s
% 0.64/0.80 % (28910)Instructions burned: 2 (million)
% 0.64/0.80 % (28910)------------------------------
% 0.64/0.80 % (28910)------------------------------
% 0.64/0.80 % (28911)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.64/0.81 % (28902)First to succeed.
% 0.64/0.81 % (28902)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28900"
% 0.64/0.81 % (28902)Refutation found. Thanks to Tanya!
% 0.64/0.81 % SZS status Unsatisfiable for theBenchmark
% 0.64/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.81 % (28902)------------------------------
% 0.64/0.81 % (28902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (28902)Termination reason: Refutation
% 0.64/0.81
% 0.64/0.81 % (28902)Memory used [KB]: 1184
% 0.64/0.81 % (28902)Time elapsed: 0.012 s
% 0.64/0.81 % (28902)Instructions burned: 25 (million)
% 0.64/0.81 % (28900)Success in time 0.394 s
% 0.64/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------