TSTP Solution File: ALG002-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG002-1 : 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 : 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 : Sun May 5 04:09:52 EDT 2024
% Result : Unsatisfiable 0.13s 0.59s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 23 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f261,plain,
$false,
inference(avatar_sat_refutation,[],[f105,f112,f260]) ).
fof(f260,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f259,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f255,f1]) ).
fof(f1,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',right_identity) ).
fof(f255,plain,
( ~ product(a,multiplicative_identity,a)
| ~ spl0_1 ),
inference(resolution,[],[f126,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( product(X0,additive_inverse(X1),additive_inverse(X2))
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',product_to_inverse) ).
fof(f126,plain,
( ~ product(a,additive_inverse(multiplicative_identity),additive_inverse(a))
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f15,f13,f100,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| ~ greater_than_0(X2)
| ~ greater_than_0(X1)
| greater_than_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',product_and_greater_than_0) ).
fof(f100,plain,
( greater_than_0(additive_inverse(multiplicative_identity))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl0_1
<=> greater_than_0(additive_inverse(multiplicative_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f13,axiom,
greater_than_0(a),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',a_greater_than_0) ).
fof(f15,plain,
~ greater_than_0(additive_inverse(a)),
inference(unit_resulting_resolution,[],[f13,f7]) ).
fof(f7,axiom,
! [X0] :
( ~ greater_than_0(additive_inverse(X0))
| ~ greater_than_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',inverse_greater_than_0) ).
fof(f112,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f106,f38]) ).
fof(f38,plain,
~ product(multiplicative_inverse(a),multiplicative_inverse(a),additive_identity),
inference(unit_resulting_resolution,[],[f2,f32,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| ~ product(X1,X1,additive_identity)
| product(X0,X0,additive_identity) ),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',square_to_0) ).
fof(f32,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference(unit_resulting_resolution,[],[f20,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',commutativity_of_product) ).
fof(f20,plain,
product(a,multiplicative_inverse(a),multiplicative_identity),
inference(unit_resulting_resolution,[],[f16,f6]) ).
fof(f6,axiom,
! [X0] :
( product(X0,multiplicative_inverse(X0),multiplicative_identity)
| product(X0,X0,additive_identity) ),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',inverse_and_identity) ).
fof(f16,plain,
~ product(a,a,additive_identity),
inference(unit_resulting_resolution,[],[f13,f8]) ).
fof(f8,axiom,
! [X0] :
( ~ product(X0,X0,additive_identity)
| ~ greater_than_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',greater_than_0_square) ).
fof(f2,axiom,
~ product(multiplicative_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',not_abelian) ).
fof(f106,plain,
( product(multiplicative_inverse(a),multiplicative_inverse(a),additive_identity)
| spl0_2 ),
inference(unit_resulting_resolution,[],[f14,f104,f10]) ).
fof(f10,axiom,
! [X0] :
( product(X0,X0,additive_identity)
| greater_than_0(additive_inverse(X0))
| greater_than_0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',product_and_inverse) ).
fof(f104,plain,
( ~ greater_than_0(additive_inverse(multiplicative_inverse(a)))
| spl0_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_2
<=> greater_than_0(additive_inverse(multiplicative_inverse(a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f14,axiom,
~ greater_than_0(multiplicative_inverse(a)),
file('/export/starexec/sandbox/tmp/tmp.ab6lSy6kVg/Vampire---4.8_9419',prove_a_inverse_greater_than_0) ).
fof(f105,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f96,f102,f98]) ).
fof(f96,plain,
( ~ greater_than_0(additive_inverse(multiplicative_inverse(a)))
| greater_than_0(additive_inverse(multiplicative_identity)) ),
inference(subsumption_resolution,[],[f95,f13]) ).
fof(f95,plain,
( ~ greater_than_0(additive_inverse(multiplicative_inverse(a)))
| ~ greater_than_0(a)
| greater_than_0(additive_inverse(multiplicative_identity)) ),
inference(resolution,[],[f30,f12]) ).
fof(f30,plain,
product(a,additive_inverse(multiplicative_inverse(a)),additive_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f20,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : ALG002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.08 % 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
% 0.08/0.27 % Computer : n003.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri May 3 19:57:37 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.27 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.08/0.27 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.ab6lSy6kVg/Vampire---4.8_9419
% 0.13/0.57 % (9775)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 (2997ds/56Mi)
% 0.13/0.57 % (9768)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 (2997ds/34Mi)
% 0.13/0.57 % (9770)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.13/0.57 % (9772)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 (2997ds/34Mi)
% 0.13/0.57 % (9769)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 (2997ds/51Mi)
% 0.13/0.57 % (9773)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.13/0.58 % (9771)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.13/0.58 % (9773)Refutation not found, incomplete strategy% (9773)------------------------------
% 0.13/0.58 % (9773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.58 % (9773)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.58
% 0.13/0.58 % (9773)Memory used [KB]: 947
% 0.13/0.58 % (9773)Time elapsed: 0.002 s
% 0.13/0.58 % (9773)Instructions burned: 2 (million)
% 0.13/0.58 % (9768)Refutation not found, incomplete strategy% (9768)------------------------------
% 0.13/0.58 % (9768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.58 % (9771)Refutation not found, incomplete strategy% (9771)------------------------------
% 0.13/0.58 % (9771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.58 % (9771)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.58
% 0.13/0.58 % (9771)Memory used [KB]: 963
% 0.13/0.58 % (9771)Time elapsed: 0.002 s
% 0.13/0.58 % (9771)Instructions burned: 2 (million)
% 0.13/0.58 % (9768)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.58
% 0.13/0.58 % (9768)Memory used [KB]: 966
% 0.13/0.58 % (9768)Time elapsed: 0.003 s
% 0.13/0.58 % (9768)Instructions burned: 2 (million)
% 0.13/0.58 % (9773)------------------------------
% 0.13/0.58 % (9773)------------------------------
% 0.13/0.58 % (9771)------------------------------
% 0.13/0.58 % (9771)------------------------------
% 0.13/0.58 % (9768)------------------------------
% 0.13/0.58 % (9768)------------------------------
% 0.13/0.58 % (9774)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 (2997ds/83Mi)
% 0.13/0.58 % (9778)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 (2997ds/55Mi)
% 0.13/0.58 % (9779)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 (2997ds/50Mi)
% 0.13/0.59 % (9774)First to succeed.
% 0.13/0.59 % (9772)Also succeeded, but the first one will report.
% 0.13/0.59 % (9774)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9638"
% 0.13/0.59 % (9774)Refutation found. Thanks to Tanya!
% 0.13/0.59 % SZS status Unsatisfiable for Vampire---4
% 0.13/0.59 % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.59 % (9774)------------------------------
% 0.13/0.59 % (9774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.59 % (9774)Termination reason: Refutation
% 0.13/0.59
% 0.13/0.59 % (9774)Memory used [KB]: 1094
% 0.13/0.59 % (9774)Time elapsed: 0.008 s
% 0.13/0.59 % (9774)Instructions burned: 9 (million)
% 0.13/0.59 % (9638)Success in time 0.299 s
% 0.47/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------