TSTP Solution File: FLD018-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD018-1 : 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 : n028.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 05:06:37 EDT 2024
% Result : Unsatisfiable 0.52s 0.73s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 6 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 38 ~; 35 |; 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 : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f152,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f53,f151]) ).
fof(f151,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f150]) ).
fof(f150,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f148,f29]) ).
fof(f29,axiom,
equalish(a,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.CAwKaABgRn/Vampire---4.8_4880',a_equals_additive_identity_2) ).
fof(f148,plain,
( ~ equalish(a,additive_identity)
| ~ spl0_1
| spl0_2 ),
inference(resolution,[],[f147,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.CAwKaABgRn/Vampire---4.8_4880',symmetry_of_equality) ).
fof(f147,plain,
( ~ equalish(additive_identity,a)
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f144,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.CAwKaABgRn/Vampire---4.8_4880',a_is_defined) ).
fof(f144,plain,
( ~ equalish(additive_identity,a)
| ~ defined(a)
| ~ spl0_1
| spl0_2 ),
inference(resolution,[],[f104,f3]) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.CAwKaABgRn/Vampire---4.8_4880',existence_of_inverse_addition) ).
fof(f104,plain,
( ! [X0] :
( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ equalish(additive_identity,X0) )
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f99,f44]) ).
fof(f44,plain,
( defined(additive_inverse(a))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_1
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f99,plain,
( ! [X0] :
( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ defined(additive_inverse(a))
| ~ equalish(additive_identity,X0) )
| spl0_2 ),
inference(resolution,[],[f57,f24]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X2),add(X1,X2))
| ~ defined(X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.CAwKaABgRn/Vampire---4.8_4880',compatibility_of_equality_and_addition) ).
fof(f57,plain,
( ! [X0] :
( ~ equalish(add(additive_identity,additive_inverse(a)),X0)
| ~ equalish(X0,additive_identity) )
| spl0_2 ),
inference(resolution,[],[f54,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.CAwKaABgRn/Vampire---4.8_4880',transitivity_of_equality) ).
fof(f54,plain,
( ~ equalish(add(additive_identity,additive_inverse(a)),additive_identity)
| spl0_2 ),
inference(resolution,[],[f49,f22]) ).
fof(f49,plain,
( ~ equalish(additive_identity,add(additive_identity,additive_inverse(a)))
| spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_2
<=> equalish(additive_identity,add(additive_identity,additive_inverse(a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f53,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f52,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f51,f28]) ).
fof(f51,plain,
( ~ defined(a)
| spl0_1 ),
inference(resolution,[],[f45,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.CAwKaABgRn/Vampire---4.8_4880',well_definedness_of_additive_inverse) ).
fof(f45,plain,
( ~ defined(additive_inverse(a))
| spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f50,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f41,f47,f43]) ).
fof(f41,plain,
( ~ equalish(additive_identity,add(additive_identity,additive_inverse(a)))
| ~ defined(additive_inverse(a)) ),
inference(resolution,[],[f34,f2]) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.CAwKaABgRn/Vampire---4.8_4880',existence_of_identity_addition) ).
fof(f34,plain,
! [X0] :
( ~ equalish(X0,additive_inverse(a))
| ~ equalish(additive_identity,X0) ),
inference(resolution,[],[f31,f23]) ).
fof(f31,plain,
~ equalish(additive_identity,additive_inverse(a)),
inference(resolution,[],[f30,f22]) ).
fof(f30,axiom,
~ equalish(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/tmp/tmp.CAwKaABgRn/Vampire---4.8_4880',additive_inverse_not_equal_to_additive_identity_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD018-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n028.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 : Fri May 3 19:47:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.35 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.CAwKaABgRn/Vampire---4.8_4880
% 0.52/0.73 % (4995)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)
% 0.52/0.73 % (4988)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)
% 0.52/0.73 % (4990)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.73 % (4992)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)
% 0.52/0.73 % (4989)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)
% 0.52/0.73 % (4991)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)
% 0.52/0.73 % (4993)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)
% 0.52/0.73 % (4994)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)
% 0.52/0.73 % (4993)First to succeed.
% 0.52/0.73 % (4993)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4987"
% 0.52/0.73 % (4993)Refutation found. Thanks to Tanya!
% 0.52/0.73 % SZS status Unsatisfiable for Vampire---4
% 0.52/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.74 % (4993)------------------------------
% 0.52/0.74 % (4993)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74 % (4993)Termination reason: Refutation
% 0.52/0.74
% 0.52/0.74 % (4993)Memory used [KB]: 1013
% 0.52/0.74 % (4993)Time elapsed: 0.005 s
% 0.52/0.74 % (4993)Instructions burned: 6 (million)
% 0.52/0.74 % (4987)Success in time 0.373 s
% 0.52/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------