TSTP Solution File: FLD018-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD018-3 : 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 : n022.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 02:19:39 EDT 2024
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f126,plain,
$false,
inference(subsumption_resolution,[],[f115,f92]) ).
fof(f92,plain,
~ sP1(additive_identity,additive_inverse(a),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f40,f34,f33]) ).
fof(f33,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP1(X4,X0,X5,X1)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1) ),
inference(general_splitting,[],[f1,f32_D]) ).
fof(f32,plain,
! [X2,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| sum(X0,X1,X2)
| sP1(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_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.fnXi0vOLp0/Vampire---4.8_7279',associativity_addition_1) ).
fof(f34,plain,
sum(additive_inverse(a),a,additive_identity),
inference(unit_resulting_resolution,[],[f27,f4]) ).
fof(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.fnXi0vOLp0/Vampire---4.8_7279',existence_of_inverse_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.fnXi0vOLp0/Vampire---4.8_7279',a_is_defined) ).
fof(f40,plain,
sum(a,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f28,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.fnXi0vOLp0/Vampire---4.8_7279',commutativity_addition) ).
fof(f28,axiom,
sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.fnXi0vOLp0/Vampire---4.8_7279',sum_2) ).
fof(f115,plain,
sP1(additive_identity,additive_inverse(a),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f44,f101,f32]) ).
fof(f101,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f40,f60,f32]) ).
fof(f60,plain,
~ sP1(a,additive_identity,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f40,f36,f33]) ).
fof(f36,plain,
sum(additive_identity,a,a),
inference(unit_resulting_resolution,[],[f27,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.fnXi0vOLp0/Vampire---4.8_7279',existence_of_identity_addition) ).
fof(f44,plain,
~ sum(additive_inverse(a),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f29,f5]) ).
fof(f29,axiom,
~ sum(additive_identity,additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/tmp/tmp.fnXi0vOLp0/Vampire---4.8_7279',not_sum_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD018-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % 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
% 0.14/0.37 % Computer : n022.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 17:58:43 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.37 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.fnXi0vOLp0/Vampire---4.8_7279
% 0.55/0.75 % (7538)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)
% 0.55/0.75 % (7532)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)
% 0.55/0.75 % (7534)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (7533)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)
% 0.55/0.75 % (7535)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)
% 0.55/0.75 % (7537)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)
% 0.55/0.75 % (7539)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)
% 0.55/0.75 % (7538)First to succeed.
% 0.55/0.75 % (7538)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (7538)------------------------------
% 0.55/0.75 % (7538)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (7538)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (7538)Memory used [KB]: 1003
% 0.55/0.75 % (7538)Time elapsed: 0.003 s
% 0.55/0.75 % (7538)Instructions burned: 5 (million)
% 0.55/0.75 % (7538)------------------------------
% 0.55/0.75 % (7538)------------------------------
% 0.55/0.75 % (7528)Success in time 0.373 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------