TSTP Solution File: FLD010-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n024.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 02:19:32 EDT 2024
% Result : Unsatisfiable 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 6 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 51 ( 22 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f64,f75]) ).
fof(f75,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f74,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f73,f27]) ).
fof(f27,axiom,
~ equalish(additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.mk4x7fLPSX/Vampire---4.8_25932',different_identities) ).
fof(f73,plain,
( equalish(additive_identity,multiplicative_identity)
| spl0_3 ),
inference(forward_literal_rewriting,[],[f72,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.mk4x7fLPSX/Vampire---4.8_25932',symmetry_of_equality) ).
fof(f72,plain,
( equalish(multiplicative_identity,additive_identity)
| spl0_3 ),
inference(subsumption_resolution,[],[f69,f14]) ).
fof(f14,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.mk4x7fLPSX/Vampire---4.8_25932',well_definedness_of_multiplicative_identity) ).
fof(f69,plain,
( equalish(multiplicative_identity,additive_identity)
| ~ defined(multiplicative_identity)
| spl0_3 ),
inference(resolution,[],[f57,f59]) ).
fof(f59,plain,
! [X0] :
( equalish(multiplicative_identity,multiply(X0,multiplicative_inverse(X0)))
| equalish(X0,additive_identity)
| ~ defined(X0) ),
inference(forward_literal_rewriting,[],[f7,f22]) ).
fof(f7,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity) ),
file('/export/starexec/sandbox2/tmp/tmp.mk4x7fLPSX/Vampire---4.8_25932',existence_of_inverse_multiplication) ).
fof(f57,plain,
( ~ equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))
| spl0_3 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_3
<=> equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f64,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f63]) ).
fof(f63,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f62,f27]) ).
fof(f62,plain,
( equalish(additive_identity,multiplicative_identity)
| spl0_1 ),
inference(forward_literal_rewriting,[],[f61,f22]) ).
fof(f61,plain,
( equalish(multiplicative_identity,additive_identity)
| spl0_1 ),
inference(subsumption_resolution,[],[f60,f14]) ).
fof(f60,plain,
( ~ defined(multiplicative_identity)
| equalish(multiplicative_identity,additive_identity)
| spl0_1 ),
inference(resolution,[],[f47,f15]) ).
fof(f15,axiom,
! [X0] :
( defined(multiplicative_inverse(X0))
| ~ defined(X0)
| equalish(X0,additive_identity) ),
file('/export/starexec/sandbox2/tmp/tmp.mk4x7fLPSX/Vampire---4.8_25932',well_definedness_of_multiplicative_inverse) ).
fof(f47,plain,
( ~ defined(multiplicative_inverse(multiplicative_identity))
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_1
<=> defined(multiplicative_inverse(multiplicative_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f58,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f53,f55,f45]) ).
fof(f53,plain,
( ~ equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))
| ~ defined(multiplicative_inverse(multiplicative_identity)) ),
inference(forward_literal_rewriting,[],[f42,f22]) ).
fof(f42,plain,
( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity)
| ~ defined(multiplicative_inverse(multiplicative_identity)) ),
inference(resolution,[],[f35,f33]) ).
fof(f33,plain,
! [X0] :
( equalish(X0,multiply(multiplicative_identity,X0))
| ~ defined(X0) ),
inference(forward_literal_rewriting,[],[f6,f22]) ).
fof(f6,axiom,
! [X0] :
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.mk4x7fLPSX/Vampire---4.8_25932',existence_of_identity_multiplication) ).
fof(f35,plain,
! [X0] :
( ~ equalish(multiplicative_inverse(multiplicative_identity),X0)
| ~ equalish(X0,multiplicative_identity) ),
inference(resolution,[],[f23,f28]) ).
fof(f28,axiom,
~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.mk4x7fLPSX/Vampire---4.8_25932',multiplicative_inv_not_equal_to_multiplicative_id_2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.mk4x7fLPSX/Vampire---4.8_25932',transitivity_of_equality) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD010-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.03/0.14 % 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
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 18:00:51 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.36 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.mk4x7fLPSX/Vampire---4.8_25932
% 0.60/0.78 % (26137)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)
% 0.60/0.78 % (26144)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)
% 0.60/0.78 % (26137)First to succeed.
% 0.60/0.78 % (26139)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (26141)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)
% 0.60/0.78 % (26138)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)
% 0.60/0.78 % (26140)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)
% 0.60/0.78 % (26142)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)
% 0.60/0.78 % (26143)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)
% 0.60/0.78 % (26137)Refutation found. Thanks to Tanya!
% 0.60/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78 % (26137)------------------------------
% 0.60/0.78 % (26137)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (26137)Termination reason: Refutation
% 0.60/0.78
% 0.60/0.78 % (26137)Memory used [KB]: 1001
% 0.60/0.78 % (26137)Time elapsed: 0.004 s
% 0.60/0.78 % (26137)Instructions burned: 4 (million)
% 0.60/0.78 % (26137)------------------------------
% 0.60/0.78 % (26137)------------------------------
% 0.60/0.78 % (26109)Success in time 0.419 s
% 0.60/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------