TSTP Solution File: FLD008-4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD008-4 : 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 : 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 02:19:32 EDT 2024
% Result : Unsatisfiable 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 33 ( 22 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 27 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f381,plain,
$false,
inference(subsumption_resolution,[],[f373,f350]) ).
fof(f350,plain,
sP0(c,d,additive_inverse(b),b),
inference(unit_resulting_resolution,[],[f42,f331,f34]) ).
fof(f34,plain,
! [X2,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X4,X5,X2)
| sP0(X5,X4,X0,X1) ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,plain,
! [X1,X0,X4,X5] :
( ! [X2] :
( ~ sum(X0,X1,X2)
| sum(X4,X5,X2) )
<=> ~ sP0(X5,X4,X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f331,plain,
~ sum(d,c,additive_identity),
inference(unit_resulting_resolution,[],[f329,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',commutativity_addition) ).
fof(f329,plain,
~ sum(c,d,additive_identity),
inference(unit_resulting_resolution,[],[f45,f181,f37]) ).
fof(f37,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP1(X4,X0,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1) ),
inference(general_splitting,[],[f1,f36_D]) ).
fof(f36,plain,
! [X2,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| sum(X0,X1,X2)
| sP1(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ sum(X4,X5,X2)
| sum(X0,X1,X2) )
<=> ~ sP1(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',associativity_addition_1) ).
fof(f181,plain,
sP1(additive_identity,additive_inverse(c),d,additive_identity),
inference(unit_resulting_resolution,[],[f47,f103,f36]) ).
fof(f103,plain,
~ sum(additive_inverse(c),additive_identity,d),
inference(unit_resulting_resolution,[],[f33,f5]) ).
fof(f33,axiom,
~ sum(additive_identity,additive_inverse(c),d),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',not_sum_7) ).
fof(f47,plain,
sum(additive_identity,d,d),
inference(unit_resulting_resolution,[],[f30,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',existence_of_identity_addition) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',d_is_defined) ).
fof(f45,plain,
sum(additive_inverse(c),c,additive_identity),
inference(unit_resulting_resolution,[],[f29,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',existence_of_inverse_addition) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',c_is_defined) ).
fof(f42,plain,
sum(additive_inverse(b),b,additive_identity),
inference(unit_resulting_resolution,[],[f28,f4]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',b_is_defined) ).
fof(f373,plain,
~ sP0(c,d,additive_inverse(b),b),
inference(unit_resulting_resolution,[],[f155,f367,f35]) ).
fof(f35,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP0(X5,X4,X0,X1)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1) ),
inference(general_splitting,[],[f2,f34_D]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',associativity_addition_2) ).
fof(f367,plain,
sum(additive_inverse(a),c,b),
inference(unit_resulting_resolution,[],[f41,f188,f36]) ).
fof(f188,plain,
~ sP1(additive_identity,additive_inverse(a),b,c),
inference(unit_resulting_resolution,[],[f31,f39,f37]) ).
fof(f39,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f27,f4]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',a_is_defined) ).
fof(f31,axiom,
sum(a,b,c),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',sum_5) ).
fof(f41,plain,
sum(additive_identity,b,b),
inference(unit_resulting_resolution,[],[f28,f3]) ).
fof(f155,plain,
sum(additive_inverse(b),additive_inverse(a),d),
inference(unit_resulting_resolution,[],[f32,f5]) ).
fof(f32,axiom,
sum(additive_inverse(a),additive_inverse(b),d),
file('/export/starexec/sandbox/tmp/tmp.X8HNfSypV3/Vampire---4.8_6019',sum_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : FLD008-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.09 % 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
% 0.08/0.27 % Computer : n016.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue Apr 30 18:39:26 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.08/0.28 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.X8HNfSypV3/Vampire---4.8_6019
% 0.42/0.59 % (6266)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)
% 0.42/0.59 % (6260)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)
% 0.42/0.59 % (6262)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.42/0.59 % (6261)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)
% 0.42/0.59 % (6263)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)
% 0.42/0.59 % (6264)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)
% 0.42/0.59 % (6265)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)
% 0.42/0.59 % (6267)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)
% 0.42/0.59 % (6266)First to succeed.
% 0.42/0.59 % (6266)Refutation found. Thanks to Tanya!
% 0.42/0.59 % SZS status Unsatisfiable for Vampire---4
% 0.42/0.59 % SZS output start Proof for Vampire---4
% See solution above
% 0.42/0.59 % (6266)------------------------------
% 0.42/0.59 % (6266)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.42/0.59 % (6266)Termination reason: Refutation
% 0.42/0.59
% 0.42/0.59 % (6266)Memory used [KB]: 1190
% 0.42/0.59 % (6266)Time elapsed: 0.006 s
% 0.42/0.59 % (6266)Instructions burned: 15 (million)
% 0.42/0.59 % (6266)------------------------------
% 0.42/0.59 % (6266)------------------------------
% 0.42/0.59 % (6256)Success in time 0.306 s
% 0.42/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------