TSTP Solution File: FLD010-5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD010-5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 : Wed May 1 02:19:33 EDT 2024
% Result : Unsatisfiable 0.63s 0.81s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 53 ( 29 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f195,plain,
$false,
inference(unit_resulting_resolution,[],[f14,f193,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888',existence_of_identity_multiplication) ).
fof(f193,plain,
~ product(multiplicative_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f191,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888',commutativity_multiplication) ).
fof(f191,plain,
~ product(additive_identity,multiplicative_identity,additive_identity),
inference(unit_resulting_resolution,[],[f55,f90,f39]) ).
fof(f39,plain,
! [X0,X6,X9,X7,X5] :
( ~ sP4(X9,X0,X5,X7)
| ~ product(X0,X5,X6)
| sP5(X5,X9,X6,X7) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
! [X7,X6,X9,X5] :
( ! [X0] :
( ~ sP4(X9,X0,X5,X7)
| ~ product(X0,X5,X6) )
<=> ~ sP5(X5,X9,X6,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f90,plain,
sP4(multiplicative_inverse(multiplicative_identity),additive_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f50,f72,f37]) ).
fof(f37,plain,
! [X3,X0,X9,X7,X5] :
( ~ sum(X0,X3,X9)
| ~ product(X3,X5,X7)
| sP4(X9,X0,X5,X7) ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
! [X7,X5,X0,X9] :
( ! [X3] :
( ~ sum(X0,X3,X9)
| ~ product(X3,X5,X7) )
<=> ~ sP4(X9,X0,X5,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f72,plain,
product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f49,f10]) ).
fof(f49,plain,
product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f46,f8]) ).
fof(f46,plain,
defined(multiplicative_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f17,f27,f18]) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888',well_definedness_of_multiplicative_inverse) ).
fof(f27,axiom,
~ sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888',not_sum_1) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888',well_definedness_of_multiplicative_identity) ).
fof(f50,plain,
sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f46,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888',existence_of_identity_addition) ).
fof(f55,plain,
~ sP5(multiplicative_identity,multiplicative_inverse(multiplicative_identity),additive_identity,multiplicative_inverse(multiplicative_identity)),
inference(unit_resulting_resolution,[],[f28,f45,f40]) ).
fof(f40,plain,
! [X8,X6,X9,X7,X5] :
( ~ sP5(X5,X9,X6,X7)
| sum(X6,X7,X8)
| ~ product(X9,X5,X8) ),
inference(general_splitting,[],[f38,f39_D]) ).
fof(f38,plain,
! [X0,X8,X6,X9,X7,X5] :
( ~ product(X0,X5,X6)
| ~ product(X9,X5,X8)
| sum(X6,X7,X8)
| ~ sP4(X9,X0,X5,X7) ),
inference(general_splitting,[],[f11,f37_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/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888',distributivity_1) ).
fof(f45,plain,
product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f17,f27,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888',existence_of_inverse_multiplication) ).
fof(f28,axiom,
~ sum(additive_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888',not_sum_2) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888',well_definedness_of_additive_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : FLD010-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 18:38:26 EDT 2024
% 0.17/0.32 % CPUTime :
% 0.17/0.32 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.17/0.32 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.0E3aURb3aX/Vampire---4.8_1888
% 0.63/0.81 % (2003)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.81 % (2000)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 (2995ds/34Mi)
% 0.63/0.81 % (2004)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 (2995ds/34Mi)
% 0.63/0.81 % (2001)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 (2995ds/51Mi)
% 0.63/0.81 % (2006)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 (2995ds/83Mi)
% 0.63/0.81 % (2002)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81 % (2007)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 (2995ds/56Mi)
% 0.63/0.81 % (2005)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.81 % (2006)First to succeed.
% 0.63/0.81 % (2006)Refutation found. Thanks to Tanya!
% 0.63/0.81 % SZS status Unsatisfiable for Vampire---4
% 0.63/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.81 % (2006)------------------------------
% 0.63/0.81 % (2006)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (2006)Termination reason: Refutation
% 0.63/0.81
% 0.63/0.81 % (2006)Memory used [KB]: 1021
% 0.63/0.81 % (2006)Time elapsed: 0.006 s
% 0.63/0.81 % (2006)Instructions burned: 9 (million)
% 0.63/0.81 % (2006)------------------------------
% 0.63/0.81 % (2006)------------------------------
% 0.63/0.81 % (1998)Success in time 0.482 s
% 0.63/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------