TSTP Solution File: FLD031-5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : FLD031-5 : 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 : n027.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 05:06:42 EDT 2024
% Result : Unsatisfiable 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f293,plain,
$false,
inference(subsumption_resolution,[],[f284,f241]) ).
fof(f241,plain,
~ sP5(multiplicative_identity,a,multiplicative_inverse(a),multiplicative_identity),
inference(unit_resulting_resolution,[],[f179,f111,f42]) ).
fof(f42,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP5(X4,X0,X5,X1)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1) ),
inference(general_splitting,[],[f6,f41_D]) ).
fof(f41,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| product(X0,X1,X2)
| sP5(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f41_D]) ).
fof(f41_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X4,X5,X2)
| product(X0,X1,X2) )
<=> ~ sP5(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.XKYx6Ybgec/Vampire---4.8_7483',associativity_multiplication_1) ).
fof(f111,plain,
product(a,multiplicative_inverse(a),multiplicative_identity),
inference(unit_resulting_resolution,[],[f54,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/tmp/tmp.XKYx6Ybgec/Vampire---4.8_7483',commutativity_multiplication) ).
fof(f54,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference(unit_resulting_resolution,[],[f27,f29,f9]) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.XKYx6Ybgec/Vampire---4.8_7483',existence_of_inverse_multiplication) ).
fof(f29,axiom,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.XKYx6Ybgec/Vampire---4.8_7483',not_sum_3) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.XKYx6Ybgec/Vampire---4.8_7483',a_is_defined) ).
fof(f179,plain,
product(a,a,multiplicative_identity),
inference(unit_resulting_resolution,[],[f28,f83,f41]) ).
fof(f83,plain,
~ sP5(multiplicative_identity,a,a,a),
inference(unit_resulting_resolution,[],[f49,f48,f42]) ).
fof(f48,plain,
product(multiplicative_identity,a,a),
inference(unit_resulting_resolution,[],[f27,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/tmp/tmp.XKYx6Ybgec/Vampire---4.8_7483',existence_of_identity_multiplication) ).
fof(f49,plain,
product(a,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f28,f10]) ).
fof(f28,axiom,
product(multiplicative_identity,a,multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.XKYx6Ybgec/Vampire---4.8_7483',product_2) ).
fof(f284,plain,
sP5(multiplicative_identity,a,multiplicative_inverse(a),multiplicative_identity),
inference(unit_resulting_resolution,[],[f131,f59,f41]) ).
fof(f59,plain,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(a)),
inference(unit_resulting_resolution,[],[f55,f8]) ).
fof(f55,plain,
defined(multiplicative_inverse(a)),
inference(unit_resulting_resolution,[],[f27,f29,f18]) ).
fof(f18,axiom,
! [X0] :
( sum(additive_identity,X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.XKYx6Ybgec/Vampire---4.8_7483',well_definedness_of_multiplicative_inverse) ).
fof(f131,plain,
~ product(a,multiplicative_identity,multiplicative_inverse(a)),
inference(unit_resulting_resolution,[],[f30,f82,f41]) ).
fof(f82,plain,
~ sP5(a,multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference(unit_resulting_resolution,[],[f49,f48,f42]) ).
fof(f30,axiom,
~ product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(a)),
file('/export/starexec/sandbox/tmp/tmp.XKYx6Ybgec/Vampire---4.8_7483',not_product_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : FLD031-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:44:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.XKYx6Ybgec/Vampire---4.8_7483
% 0.57/0.75 % (7738)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)
% 0.57/0.75 % (7732)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)
% 0.57/0.75 % (7734)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (7733)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)
% 0.57/0.75 % (7736)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)
% 0.57/0.75 % (7735)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)
% 0.57/0.75 % (7737)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)
% 0.57/0.75 % (7738)First to succeed.
% 0.57/0.75 % (7738)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7728"
% 0.57/0.75 % (7738)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (7738)------------------------------
% 0.57/0.75 % (7738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (7738)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (7738)Memory used [KB]: 1032
% 0.57/0.75 % (7738)Time elapsed: 0.005 s
% 0.57/0.75 % (7738)Instructions burned: 10 (million)
% 0.57/0.75 % (7728)Success in time 0.381 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------