TSTP Solution File: FLD027-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD027-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n011.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 05:06:40 EDT 2024
% Result : Unsatisfiable 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 18 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 18 ~; 12 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269,plain,
$false,
inference(subsumption_resolution,[],[f267,f108]) ).
fof(f108,plain,
~ sP7(a,a,multiplicative_inverse(a),multiplicative_inverse(b)),
inference(unit_resulting_resolution,[],[f31,f69,f48]) ).
fof(f48,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP7(X4,X0,X5,X1)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1) ),
inference(general_splitting,[],[f6,f47_D]) ).
fof(f47,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| product(X0,X1,X2)
| sP7(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f47_D]) ).
fof(f47_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X4,X5,X2)
| product(X0,X1,X2) )
<=> ~ sP7(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.eWfvMjFkKe/Vampire---4.8_21034',associativity_multiplication_1) ).
fof(f69,plain,
product(a,multiplicative_identity,a),
inference(unit_resulting_resolution,[],[f49,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.eWfvMjFkKe/Vampire---4.8_21034',commutativity_multiplication) ).
fof(f49,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f27,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.eWfvMjFkKe/Vampire---4.8_21034',existence_of_identity_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.eWfvMjFkKe/Vampire---4.8_21034',a_is_defined) ).
fof(f31,axiom,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
file('/export/starexec/sandbox/tmp/tmp.eWfvMjFkKe/Vampire---4.8_21034',product_5) ).
fof(f267,plain,
sP7(a,a,multiplicative_inverse(a),multiplicative_inverse(b)),
inference(unit_resulting_resolution,[],[f157,f204,f47]) ).
fof(f204,plain,
~ product(a,multiplicative_inverse(b),multiplicative_identity),
inference(unit_resulting_resolution,[],[f59,f83,f48]) ).
fof(f83,plain,
sP7(multiplicative_identity,a,b,multiplicative_identity),
inference(unit_resulting_resolution,[],[f65,f51,f47]) ).
fof(f51,plain,
product(multiplicative_identity,b,b),
inference(unit_resulting_resolution,[],[f28,f8]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/tmp/tmp.eWfvMjFkKe/Vampire---4.8_21034',b_is_defined) ).
fof(f65,plain,
~ product(a,multiplicative_identity,b),
inference(unit_resulting_resolution,[],[f32,f10]) ).
fof(f32,axiom,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.eWfvMjFkKe/Vampire---4.8_21034',not_product_6) ).
fof(f59,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(unit_resulting_resolution,[],[f28,f30,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.eWfvMjFkKe/Vampire---4.8_21034',existence_of_inverse_multiplication) ).
fof(f30,axiom,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.eWfvMjFkKe/Vampire---4.8_21034',not_sum_4) ).
fof(f157,plain,
product(a,multiplicative_inverse(a),multiplicative_identity),
inference(unit_resulting_resolution,[],[f53,f10]) ).
fof(f53,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference(unit_resulting_resolution,[],[f27,f29,f9]) ).
fof(f29,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.eWfvMjFkKe/Vampire---4.8_21034',not_sum_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD027-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:47:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36 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.eWfvMjFkKe/Vampire---4.8_21034
% 0.55/0.75 % (21150)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)
% 0.55/0.75 % (21145)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (21143)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)
% 0.55/0.75 % (21147)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)
% 0.55/0.75 % (21144)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)
% 0.55/0.75 % (21146)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)
% 0.55/0.75 % (21148)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)
% 0.55/0.75 % (21149)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)
% 0.55/0.76 % (21149)First to succeed.
% 0.55/0.76 % (21149)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21142"
% 0.60/0.76 % (21149)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (21149)------------------------------
% 0.60/0.76 % (21149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (21149)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (21149)Memory used [KB]: 1135
% 0.60/0.76 % (21149)Time elapsed: 0.008 s
% 0.60/0.76 % (21149)Instructions burned: 12 (million)
% 0.60/0.76 % (21142)Success in time 0.386 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------