TSTP Solution File: FLD002-3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD002-3 : 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 : n017.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 05:06:30 EDT 2024
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 50 ( 29 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228,plain,
$false,
inference(unit_resulting_resolution,[],[f14,f226,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.gvHzadhvgn/Vampire---4.8_4382',existence_of_identity_multiplication) ).
fof(f226,plain,
~ product(multiplicative_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f224,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.gvHzadhvgn/Vampire---4.8_4382',commutativity_multiplication) ).
fof(f224,plain,
~ product(additive_identity,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f57,f161,f35]) ).
fof(f35,plain,
! [X3,X0,X9,X7,X5] :
( sP2(X9,X0,X5,X7)
| ~ sum(X0,X3,X9)
| ~ product(X3,X5,X7) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
! [X7,X5,X0,X9] :
( ! [X3] :
( ~ sum(X0,X3,X9)
| ~ product(X3,X5,X7) )
<=> ~ sP2(X9,X0,X5,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f161,plain,
~ sP2(a,a,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f59,f75,f37]) ).
fof(f37,plain,
! [X0,X6,X9,X7,X5] :
( sP3(X5,X9,X6,X7)
| ~ sP2(X9,X0,X5,X7)
| ~ product(X0,X5,X6) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
! [X7,X6,X9,X5] :
( ! [X0] :
( ~ sP2(X9,X0,X5,X7)
| ~ product(X0,X5,X6) )
<=> ~ sP3(X5,X9,X6,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f75,plain,
~ sP3(multiplicative_identity,a,a,additive_identity),
inference(unit_resulting_resolution,[],[f51,f52,f38]) ).
fof(f38,plain,
! [X8,X6,X9,X7,X5] :
( ~ sP3(X5,X9,X6,X7)
| sum(X6,X7,X8)
| ~ product(X9,X5,X8) ),
inference(general_splitting,[],[f36,f37_D]) ).
fof(f36,plain,
! [X0,X8,X6,X9,X7,X5] :
( ~ product(X0,X5,X6)
| ~ product(X9,X5,X8)
| sum(X6,X7,X8)
| ~ sP2(X9,X0,X5,X7) ),
inference(general_splitting,[],[f11,f35_D]) ).
fof(f11,axiom,
! [X3,X0,X8,X6,X9,X7,X5] :
( ~ product(X3,X5,X7)
| ~ product(X0,X5,X6)
| ~ product(X9,X5,X8)
| ~ sum(X0,X3,X9)
| sum(X6,X7,X8) ),
file('/export/starexec/sandbox/tmp/tmp.gvHzadhvgn/Vampire---4.8_4382',distributivity_1) ).
fof(f52,plain,
product(a,multiplicative_identity,b),
inference(unit_resulting_resolution,[],[f29,f10]) ).
fof(f29,axiom,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.gvHzadhvgn/Vampire---4.8_4382',product_3) ).
fof(f51,plain,
~ sum(a,additive_identity,b),
inference(unit_resulting_resolution,[],[f30,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.gvHzadhvgn/Vampire---4.8_4382',commutativity_addition) ).
fof(f30,axiom,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox/tmp/tmp.gvHzadhvgn/Vampire---4.8_4382',not_sum_4) ).
fof(f59,plain,
product(a,multiplicative_identity,a),
inference(unit_resulting_resolution,[],[f48,f10]) ).
fof(f48,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f27,f8]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.gvHzadhvgn/Vampire---4.8_4382',a_is_defined) ).
fof(f57,plain,
sum(a,additive_identity,a),
inference(unit_resulting_resolution,[],[f47,f5]) ).
fof(f47,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f27,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.gvHzadhvgn/Vampire---4.8_4382',existence_of_identity_addition) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/tmp/tmp.gvHzadhvgn/Vampire---4.8_4382',well_definedness_of_additive_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD002-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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
% 0.15/0.36 % Computer : n017.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 19:44:53 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.gvHzadhvgn/Vampire---4.8_4382
% 0.56/0.74 % (4645)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (4646)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)
% 0.56/0.74 % (4647)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)
% 0.56/0.74 % (4643)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)
% 0.56/0.74 % (4648)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 % (4644)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)
% 0.56/0.74 % (4650)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 % (4649)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)
% 0.56/0.75 % (4649)First to succeed.
% 0.56/0.75 % (4649)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4633"
% 0.56/0.75 % (4649)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (4649)------------------------------
% 0.56/0.75 % (4649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4649)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (4649)Memory used [KB]: 1040
% 0.56/0.75 % (4649)Time elapsed: 0.008 s
% 0.56/0.75 % (4649)Instructions burned: 10 (million)
% 0.56/0.75 % (4633)Success in time 0.38 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------