TSTP Solution File: HEN004-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN004-2 : 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 : n023.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 21:34:27 EDT 2024
% Result : Unsatisfiable 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 55 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 30 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f245,plain,
$false,
inference(resolution,[],[f236,f13]) ).
fof(f13,axiom,
~ quotient(x,zero,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divde_zero_is_x) ).
fof(f236,plain,
! [X0] : quotient(X0,zero,X0),
inference(superposition,[],[f8,f220]) ).
fof(f220,plain,
! [X0] : divide(X0,zero) = X0,
inference(resolution,[],[f206,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ less_equal(X0,divide(X0,X1))
| divide(X0,X1) = X0 ),
inference(resolution,[],[f6,f22]) ).
fof(f22,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/benchmark/theBenchmark.p',divisor_existence) ).
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(f206,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(resolution,[],[f200,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f200,plain,
! [X0] : quotient(X0,divide(X0,zero),zero),
inference(superposition,[],[f8,f181]) ).
fof(f181,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f160,f23]) ).
fof(f23,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(f160,plain,
! [X0] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(resolution,[],[f155,f2]) ).
fof(f155,plain,
! [X0] : quotient(divide(X0,divide(X0,zero)),zero,zero),
inference(resolution,[],[f136,f8]) ).
fof(f136,plain,
! [X0,X1] :
( ~ quotient(X0,zero,X1)
| quotient(divide(X0,X1),zero,zero) ),
inference(resolution,[],[f132,f11]) ).
fof(f11,axiom,
! [X0] : quotient(zero,X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X3,X0,X1)
| quotient(divide(X3,X1),X2,zero) ),
inference(resolution,[],[f110,f8]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4] :
( ~ quotient(X0,X1,X2)
| ~ quotient(X3,X1,X4)
| ~ quotient(X0,X3,X1)
| quotient(X2,X4,zero) ),
inference(resolution,[],[f104,f12]) ).
fof(f12,axiom,
! [X0] : quotient(X0,X0,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f104,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,f96]) ).
fof(f96,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,[],[f61,f23]) ).
fof(f61,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/benchmark/theBenchmark.p',quotient_property) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN004-2 : TPTP v8.2.0. 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
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 22:52:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.35 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/benchmark/theBenchmark.p
% 0.54/0.74 % (31940)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)
% 0.54/0.74 % (31940)Refutation not found, incomplete strategy% (31940)------------------------------
% 0.54/0.74 % (31940)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (31940)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (31940)Memory used [KB]: 963
% 0.54/0.74 % (31940)Time elapsed: 0.001 s
% 0.54/0.74 % (31940)Instructions burned: 2 (million)
% 0.54/0.75 % (31940)------------------------------
% 0.54/0.75 % (31940)------------------------------
% 0.54/0.75 % (31933)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)
% 0.54/0.75 % (31935)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.75 % (31936)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)
% 0.54/0.75 % (31934)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)
% 0.54/0.75 % (31938)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)
% 0.54/0.75 % (31939)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)
% 0.54/0.75 % (31937)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)
% 0.54/0.75 % (31938)Refutation not found, incomplete strategy% (31938)------------------------------
% 0.54/0.75 % (31938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31936)Refutation not found, incomplete strategy% (31936)------------------------------
% 0.54/0.75 % (31936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31936)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31936)Memory used [KB]: 966
% 0.54/0.75 % (31936)Time elapsed: 0.002 s
% 0.54/0.75 % (31936)Instructions burned: 2 (million)
% 0.54/0.75 % (31938)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31938)Memory used [KB]: 963
% 0.54/0.75 % (31938)Time elapsed: 0.002 s
% 0.54/0.75 % (31938)Instructions burned: 2 (million)
% 0.54/0.75 % (31937)Refutation not found, incomplete strategy% (31937)------------------------------
% 0.54/0.75 % (31937)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31937)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31937)Memory used [KB]: 968
% 0.54/0.75 % (31937)Time elapsed: 0.002 s
% 0.54/0.75 % (31936)------------------------------
% 0.54/0.75 % (31936)------------------------------
% 0.54/0.75 % (31937)Instructions burned: 2 (million)
% 0.54/0.75 % (31939)Refutation not found, incomplete strategy% (31939)------------------------------
% 0.54/0.75 % (31939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31938)------------------------------
% 0.54/0.75 % (31938)------------------------------
% 0.54/0.75 % (31939)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31939)Memory used [KB]: 968
% 0.54/0.75 % (31939)Time elapsed: 0.003 s
% 0.54/0.75 % (31939)Instructions burned: 2 (million)
% 0.54/0.75 % (31937)------------------------------
% 0.54/0.75 % (31937)------------------------------
% 0.54/0.75 % (31939)------------------------------
% 0.54/0.75 % (31939)------------------------------
% 0.54/0.75 % (31941)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)
% 0.54/0.75 % (31941)Refutation not found, incomplete strategy% (31941)------------------------------
% 0.54/0.75 % (31941)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31941)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31941)Memory used [KB]: 981
% 0.54/0.75 % (31941)Time elapsed: 0.001 s
% 0.54/0.75 % (31941)Instructions burned: 2 (million)
% 0.54/0.75 % (31941)------------------------------
% 0.54/0.75 % (31941)------------------------------
% 0.54/0.75 % (31933)Refutation not found, incomplete strategy% (31933)------------------------------
% 0.54/0.75 % (31933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31933)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31933)Memory used [KB]: 1009
% 0.54/0.75 % (31933)Time elapsed: 0.005 s
% 0.54/0.75 % (31933)Instructions burned: 7 (million)
% 0.54/0.75 % (31933)------------------------------
% 0.54/0.75 % (31933)------------------------------
% 0.54/0.75 % (31946)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 theBenchmark for (2996ds/42Mi)
% 0.54/0.75 % (31943)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)
% 0.54/0.75 % (31944)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)
% 0.54/0.75 % (31946)Refutation not found, incomplete strategy% (31946)------------------------------
% 0.54/0.75 % (31946)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31945)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 theBenchmark for (2996ds/518Mi)
% 0.54/0.75 % (31946)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31946)Memory used [KB]: 968
% 0.54/0.75 % (31946)Time elapsed: 0.001 s
% 0.54/0.75 % (31946)Instructions burned: 2 (million)
% 0.54/0.75 % (31942)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)
% 0.54/0.75 % (31946)------------------------------
% 0.54/0.75 % (31946)------------------------------
% 0.54/0.75 % (31935)Refutation not found, incomplete strategy% (31935)------------------------------
% 0.54/0.75 % (31935)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31935)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31935)Memory used [KB]: 1069
% 0.54/0.75 % (31935)Time elapsed: 0.008 s
% 0.54/0.75 % (31935)Instructions burned: 11 (million)
% 0.54/0.75 % (31943)Refutation not found, incomplete strategy% (31943)------------------------------
% 0.54/0.75 % (31943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31943)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31943)Memory used [KB]: 980
% 0.54/0.75 % (31943)Time elapsed: 0.003 s
% 0.54/0.75 % (31943)Instructions burned: 2 (million)
% 0.54/0.75 % (31934)First to succeed.
% 0.54/0.75 % (31935)------------------------------
% 0.54/0.75 % (31935)------------------------------
% 0.54/0.75 % (31945)Refutation not found, incomplete strategy% (31945)------------------------------
% 0.54/0.75 % (31945)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31945)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (31945)Memory used [KB]: 966
% 0.54/0.75 % (31943)------------------------------
% 0.54/0.75 % (31943)------------------------------
% 0.54/0.75 % (31945)Time elapsed: 0.003 s
% 0.54/0.75 % (31945)Instructions burned: 2 (million)
% 0.54/0.75 % (31942)Refutation not found, incomplete strategy% (31942)------------------------------
% 0.54/0.75 % (31942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31942)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75 % (31934)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31932"
% 0.54/0.75
% 0.54/0.75 % (31942)Memory used [KB]: 969
% 0.54/0.75 % (31942)Time elapsed: 0.003 s
% 0.54/0.75 % (31942)Instructions burned: 2 (million)
% 0.54/0.75 % (31945)------------------------------
% 0.54/0.75 % (31945)------------------------------
% 0.54/0.75 % (31942)------------------------------
% 0.54/0.75 % (31942)------------------------------
% 0.54/0.75 % (31934)Refutation found. Thanks to Tanya!
% 0.54/0.75 % SZS status Unsatisfiable for theBenchmark
% 0.54/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.75 % (31934)------------------------------
% 0.54/0.75 % (31934)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (31934)Termination reason: Refutation
% 0.54/0.75
% 0.54/0.75 % (31934)Memory used [KB]: 1079
% 0.54/0.75 % (31934)Time elapsed: 0.008 s
% 0.54/0.75 % (31934)Instructions burned: 11 (million)
% 0.54/0.75 % (31932)Success in time 0.389 s
% 0.54/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------