TSTP Solution File: HEN004-6 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN004-6 : 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 : 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 : Sun May 5 06:11:36 EDT 2024
% Result : Unsatisfiable 0.62s 0.76s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 17 unt; 0 def)
% Number of atoms : 58 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 21 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f603,plain,
$false,
inference(avatar_sat_refutation,[],[f337,f591]) ).
fof(f591,plain,
~ spl1_8,
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f590,plain,
( $false
| ~ spl1_8 ),
inference(subsumption_resolution,[],[f587,f37]) ).
fof(f37,plain,
~ less_equal(a,sF0),
inference(subsumption_resolution,[],[f36,f12]) ).
fof(f12,plain,
a != sF0,
inference(definition_folding,[],[f10,f11]) ).
fof(f11,plain,
divide(a,zero) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f10,axiom,
a != divide(a,zero),
file('/export/starexec/sandbox/tmp/tmp.QqIKiQdMZA/Vampire---4.8_2391',prove_x_divide_zero_is_x) ).
fof(f36,plain,
( a = sF0
| ~ less_equal(a,sF0) ),
inference(resolution,[],[f6,f14]) ).
fof(f14,plain,
less_equal(sF0,a),
inference(superposition,[],[f3,f11]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/tmp/tmp.QqIKiQdMZA/Vampire---4.8_2391',quotient_smaller_than_numerator) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.QqIKiQdMZA/Vampire---4.8_2391',less_equal_and_equal) ).
fof(f587,plain,
( less_equal(a,sF0)
| ~ spl1_8 ),
inference(trivial_inequality_removal,[],[f566]) ).
fof(f566,plain,
( zero != zero
| less_equal(a,sF0)
| ~ spl1_8 ),
inference(superposition,[],[f2,f540]) ).
fof(f540,plain,
( zero = divide(a,sF0)
| ~ spl1_8 ),
inference(resolution,[],[f519,f34]) ).
fof(f34,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.QqIKiQdMZA/Vampire---4.8_2391',zero_is_smallest) ).
fof(f519,plain,
( less_equal(divide(a,sF0),zero)
| ~ spl1_8 ),
inference(trivial_inequality_removal,[],[f499]) ).
fof(f499,plain,
( zero != zero
| less_equal(divide(a,sF0),zero)
| ~ spl1_8 ),
inference(superposition,[],[f2,f423]) ).
fof(f423,plain,
( zero = divide(divide(a,sF0),zero)
| ~ spl1_8 ),
inference(resolution,[],[f369,f34]) ).
fof(f369,plain,
( less_equal(divide(divide(a,sF0),zero),zero)
| ~ spl1_8 ),
inference(superposition,[],[f55,f364]) ).
fof(f364,plain,
( zero = divide(sF0,sF0)
| ~ spl1_8 ),
inference(resolution,[],[f115,f34]) ).
fof(f115,plain,
( less_equal(divide(sF0,sF0),zero)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl1_8
<=> less_equal(divide(sF0,sF0),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f55,plain,
! [X0] : less_equal(divide(divide(a,X0),zero),divide(sF0,X0)),
inference(forward_demodulation,[],[f49,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.QqIKiQdMZA/Vampire---4.8_2391',zero_divide_anything_is_zero) ).
fof(f49,plain,
! [X0] : less_equal(divide(divide(a,X0),divide(zero,X0)),divide(sF0,X0)),
inference(superposition,[],[f4,f11]) ).
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.QqIKiQdMZA/Vampire---4.8_2391',quotient_property) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.QqIKiQdMZA/Vampire---4.8_2391',quotient_less_equal2) ).
fof(f337,plain,
spl1_8,
inference(avatar_split_clause,[],[f336,f113]) ).
fof(f336,plain,
less_equal(divide(sF0,sF0),zero),
inference(forward_demodulation,[],[f335,f11]) ).
fof(f335,plain,
less_equal(divide(divide(a,zero),sF0),zero),
inference(subsumption_resolution,[],[f301,f14]) ).
fof(f301,plain,
( less_equal(divide(divide(a,zero),sF0),zero)
| ~ less_equal(sF0,a) ),
inference(superposition,[],[f45,f69]) ).
fof(f69,plain,
! [X0] :
( zero = divide(divide(a,X0),zero)
| ~ less_equal(sF0,X0) ),
inference(resolution,[],[f61,f34]) ).
fof(f61,plain,
! [X0] :
( less_equal(divide(divide(a,X0),zero),zero)
| ~ less_equal(sF0,X0) ),
inference(superposition,[],[f55,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( divide(X0,X1) = zero
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.QqIKiQdMZA/Vampire---4.8_2391',quotient_less_equal1) ).
fof(f45,plain,
! [X0] : less_equal(divide(divide(X0,zero),sF0),divide(divide(X0,a),zero)),
inference(superposition,[],[f4,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : HEN004-6 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % 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
% 0.16/0.35 % Computer : n023.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Fri May 3 13:03:38 EDT 2024
% 0.16/0.35 % CPUTime :
% 0.16/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.16/0.35 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.QqIKiQdMZA/Vampire---4.8_2391
% 0.56/0.73 % (2664)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)
% 0.56/0.73 % (2658)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)
% 0.56/0.73 % (2660)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73 % (2659)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)
% 0.56/0.73 % (2661)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)
% 0.56/0.73 % (2662)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)
% 0.56/0.73 % (2663)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)
% 0.56/0.74 % (2662)Refutation not found, incomplete strategy% (2662)------------------------------
% 0.56/0.74 % (2662)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (2662)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (2662)Memory used [KB]: 973
% 0.56/0.74 % (2662)Time elapsed: 0.002 s
% 0.56/0.74 % (2662)Instructions burned: 2 (million)
% 0.56/0.74 % (2658)Refutation not found, incomplete strategy% (2658)------------------------------
% 0.56/0.74 % (2658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (2658)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74 % (2662)------------------------------
% 0.56/0.74 % (2662)------------------------------
% 0.56/0.74
% 0.56/0.74 % (2658)Memory used [KB]: 989
% 0.56/0.74 % (2658)Time elapsed: 0.003 s
% 0.56/0.74 % (2658)Instructions burned: 2 (million)
% 0.56/0.74 % (2663)Refutation not found, incomplete strategy% (2663)------------------------------
% 0.56/0.74 % (2663)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (2663)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (2663)Memory used [KB]: 976
% 0.56/0.74 % (2663)Time elapsed: 0.003 s
% 0.56/0.74 % (2663)Instructions burned: 2 (million)
% 0.56/0.74 % (2658)------------------------------
% 0.56/0.74 % (2658)------------------------------
% 0.56/0.74 % (2663)------------------------------
% 0.56/0.74 % (2663)------------------------------
% 0.56/0.74 % (2665)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)
% 0.56/0.74 % (2666)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)
% 0.56/0.74 % (2668)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)
% 0.56/0.74 % (2665)Refutation not found, incomplete strategy% (2665)------------------------------
% 0.56/0.74 % (2665)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (2665)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (2665)Memory used [KB]: 959
% 0.56/0.74 % (2665)Time elapsed: 0.003 s
% 0.56/0.74 % (2665)Instructions burned: 2 (million)
% 0.56/0.74 % (2665)------------------------------
% 0.56/0.74 % (2665)------------------------------
% 0.56/0.75 % (2669)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)
% 0.56/0.75 % (2661)Instruction limit reached!
% 0.56/0.75 % (2661)------------------------------
% 0.56/0.75 % (2661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (2661)Termination reason: Unknown
% 0.56/0.75 % (2661)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (2661)Memory used [KB]: 1195
% 0.56/0.75 % (2661)Time elapsed: 0.015 s
% 0.56/0.75 % (2661)Instructions burned: 34 (million)
% 0.56/0.75 % (2661)------------------------------
% 0.56/0.75 % (2661)------------------------------
% 0.56/0.75 % (2667)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)
% 0.56/0.75 % (2667)Refutation not found, incomplete strategy% (2667)------------------------------
% 0.56/0.75 % (2667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (2667)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (2667)Memory used [KB]: 960
% 0.56/0.75 % (2667)Time elapsed: 0.001 s
% 0.56/0.75 % (2667)Instructions burned: 2 (million)
% 0.56/0.75 % (2667)------------------------------
% 0.56/0.75 % (2667)------------------------------
% 0.56/0.75 % (2670)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)
% 0.56/0.75 % (2670)Refutation not found, incomplete strategy% (2670)------------------------------
% 0.56/0.75 % (2670)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (2670)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (2670)Memory used [KB]: 977
% 0.56/0.75 % (2670)Time elapsed: 0.002 s
% 0.56/0.75 % (2670)Instructions burned: 2 (million)
% 0.56/0.75 % (2670)------------------------------
% 0.56/0.75 % (2670)------------------------------
% 0.56/0.75 % (2668)First to succeed.
% 0.56/0.75 % (2668)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2653"
% 0.62/0.76 % (2671)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)
% 0.62/0.76 % (2668)Refutation found. Thanks to Tanya!
% 0.62/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.62/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.76 % (2668)------------------------------
% 0.62/0.76 % (2668)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (2668)Termination reason: Refutation
% 0.62/0.76
% 0.62/0.76 % (2668)Memory used [KB]: 1127
% 0.62/0.76 % (2668)Time elapsed: 0.015 s
% 0.62/0.76 % (2668)Instructions burned: 21 (million)
% 0.62/0.76 % (2653)Success in time 0.389 s
% 0.62/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------