TSTP Solution File: FLD003-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD003-1 : 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 : n021.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 0.23s 0.76s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 6 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 90 ( 45 ~; 42 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f86,f92,f154]) ).
fof(f154,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f153,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f150,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/tmp/tmp.h051mwomD4/Vampire---4.8_20763',b_is_defined) ).
fof(f150,plain,
( ~ defined(b)
| spl0_2 ),
inference(resolution,[],[f145,f34]) ).
fof(f34,plain,
! [X0] :
( equalish(additive_identity,add(X0,additive_inverse(X0)))
| ~ defined(X0) ),
inference(forward_literal_rewriting,[],[f3,f22]) ).
fof(f22,axiom,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.h051mwomD4/Vampire---4.8_20763',symmetry_of_equality) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| equalish(add(X0,additive_inverse(X0)),additive_identity) ),
file('/export/starexec/sandbox/tmp/tmp.h051mwomD4/Vampire---4.8_20763',existence_of_inverse_addition) ).
fof(f145,plain,
( ~ equalish(additive_identity,add(b,additive_inverse(b)))
| spl0_2 ),
inference(subsumption_resolution,[],[f142,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.h051mwomD4/Vampire---4.8_20763',a_is_defined) ).
fof(f142,plain,
( ~ defined(a)
| ~ equalish(additive_identity,add(b,additive_inverse(b)))
| spl0_2 ),
inference(resolution,[],[f135,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.h051mwomD4/Vampire---4.8_20763',compatibility_of_equality_and_addition) ).
fof(f135,plain,
( ~ equalish(add(additive_identity,a),add(add(b,additive_inverse(b)),a))
| spl0_2 ),
inference(subsumption_resolution,[],[f134,f28]) ).
fof(f134,plain,
( ~ equalish(add(additive_identity,a),add(add(b,additive_inverse(b)),a))
| ~ defined(a)
| spl0_2 ),
inference(resolution,[],[f93,f32]) ).
fof(f32,plain,
! [X0] :
( equalish(X0,add(additive_identity,X0))
| ~ defined(X0) ),
inference(forward_literal_rewriting,[],[f2,f22]) ).
fof(f2,axiom,
! [X0] :
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
file('/export/starexec/sandbox/tmp/tmp.h051mwomD4/Vampire---4.8_20763',existence_of_identity_addition) ).
fof(f93,plain,
( ! [X0] :
( ~ equalish(a,X0)
| ~ equalish(X0,add(add(b,additive_inverse(b)),a)) )
| spl0_2 ),
inference(resolution,[],[f51,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.h051mwomD4/Vampire---4.8_20763',transitivity_of_equality) ).
fof(f51,plain,
( ~ equalish(a,add(add(b,additive_inverse(b)),a))
| spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_2
<=> equalish(a,add(add(b,additive_inverse(b)),a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f92,plain,
( spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f91,plain,
( $false
| spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f70,f77]) ).
fof(f77,plain,
( defined(additive_inverse(b))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_6
<=> defined(additive_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f70,plain,
( ~ defined(additive_inverse(b))
| spl0_1 ),
inference(subsumption_resolution,[],[f69,f29]) ).
fof(f69,plain,
( ~ defined(b)
| ~ defined(additive_inverse(b))
| spl0_1 ),
inference(resolution,[],[f47,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.h051mwomD4/Vampire---4.8_20763',well_definedness_of_addition) ).
fof(f47,plain,
( ~ defined(add(b,additive_inverse(b)))
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_1
<=> defined(add(b,additive_inverse(b))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f86,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f85,plain,
( $false
| spl0_6 ),
inference(subsumption_resolution,[],[f84,f29]) ).
fof(f84,plain,
( ~ defined(b)
| spl0_6 ),
inference(resolution,[],[f78,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.h051mwomD4/Vampire---4.8_20763',well_definedness_of_additive_inverse) ).
fof(f78,plain,
( ~ defined(additive_inverse(b))
| spl0_6 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f52,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f43,f49,f45]) ).
fof(f43,plain,
( ~ equalish(a,add(add(b,additive_inverse(b)),a))
| ~ defined(add(b,additive_inverse(b))) ),
inference(forward_literal_rewriting,[],[f42,f22]) ).
fof(f42,plain,
( ~ equalish(add(add(b,additive_inverse(b)),a),a)
| ~ defined(add(b,additive_inverse(b))) ),
inference(subsumption_resolution,[],[f37,f28]) ).
fof(f37,plain,
( ~ equalish(add(add(b,additive_inverse(b)),a),a)
| ~ defined(a)
| ~ defined(add(b,additive_inverse(b))) ),
inference(resolution,[],[f35,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.h051mwomD4/Vampire---4.8_20763',commutativity_addition) ).
fof(f35,plain,
! [X0] :
( ~ equalish(add(a,add(b,additive_inverse(b))),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f23,f30]) ).
fof(f30,axiom,
~ equalish(add(a,add(b,additive_inverse(b))),a),
file('/export/starexec/sandbox/tmp/tmp.h051mwomD4/Vampire---4.8_20763',add_not_equal_to_a_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : FLD003-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.15 % 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 : n021.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 19:49:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.37 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.h051mwomD4/Vampire---4.8_20763
% 0.23/0.75 % (21028)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)
% 0.23/0.75 % (21030)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.23/0.75 % (21032)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)
% 0.23/0.75 % (21031)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)
% 0.23/0.75 % (21029)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)
% 0.23/0.75 % (21033)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)
% 0.23/0.75 % (21035)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)
% 0.23/0.75 % (21034)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)
% 0.23/0.76 % (21028)First to succeed.
% 0.23/0.76 % (21028)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21017"
% 0.23/0.76 % (21028)Refutation found. Thanks to Tanya!
% 0.23/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.76 % (21028)------------------------------
% 0.23/0.76 % (21028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.76 % (21028)Termination reason: Refutation
% 0.23/0.76
% 0.23/0.76 % (21028)Memory used [KB]: 1080
% 0.23/0.76 % (21028)Time elapsed: 0.004 s
% 0.23/0.76 % (21028)Instructions burned: 7 (million)
% 0.23/0.76 % (21017)Success in time 0.385 s
% 0.23/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------