TSTP Solution File: NUM016-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM016-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed May 1 03:26:28 EDT 2024
% Result : Unsatisfiable 0.60s 0.75s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(subsumption_resolution,[],[f22,f14]) ).
fof(f14,plain,
less(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a)),
inference(unit_resulting_resolution,[],[f9,f7]) ).
fof(f7,axiom,
! [X0] :
( less(prime_divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox/tmp/tmp.sVpeEWCF1w/Vampire---4.8_10690',smaller_prime_divisors) ).
fof(f9,plain,
~ prime(factorial_plus_one(a)),
inference(unit_resulting_resolution,[],[f3,f1,f8]) ).
fof(f8,axiom,
! [X0] :
( less(factorial_plus_one(a),X0)
| ~ less(a,X0)
| ~ prime(X0) ),
file('/export/starexec/sandbox/tmp/tmp.sVpeEWCF1w/Vampire---4.8_10690',prove_there_is_another_prime) ).
fof(f1,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.sVpeEWCF1w/Vampire---4.8_10690',nothing_is_less_than_itself) ).
fof(f3,axiom,
! [X0] : less(X0,factorial_plus_one(X0)),
file('/export/starexec/sandbox/tmp/tmp.sVpeEWCF1w/Vampire---4.8_10690',a_prime_is_less_than_the_next_one) ).
fof(f22,plain,
~ less(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a)),
inference(unit_resulting_resolution,[],[f13,f15,f10]) ).
fof(f10,plain,
! [X0] :
( ~ less(X0,factorial_plus_one(a))
| ~ prime(X0)
| ~ less(a,X0) ),
inference(resolution,[],[f8,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ less(X0,X1)
| ~ less(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.sVpeEWCF1w/Vampire---4.8_10690',numbers_are_different) ).
fof(f15,plain,
less(a,prime_divisor(factorial_plus_one(a))),
inference(unit_resulting_resolution,[],[f12,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ divides(X0,factorial_plus_one(X1))
| less(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.sVpeEWCF1w/Vampire---4.8_10690',divisor_is_smaller) ).
fof(f12,plain,
divides(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a)),
inference(unit_resulting_resolution,[],[f9,f5]) ).
fof(f5,axiom,
! [X0] :
( divides(prime_divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox/tmp/tmp.sVpeEWCF1w/Vampire---4.8_10690',division_by_prime_divisor) ).
fof(f13,plain,
prime(prime_divisor(factorial_plus_one(a))),
inference(unit_resulting_resolution,[],[f9,f6]) ).
fof(f6,axiom,
! [X0] :
( prime(prime_divisor(X0))
| prime(X0) ),
file('/export/starexec/sandbox/tmp/tmp.sVpeEWCF1w/Vampire---4.8_10690',prime_divsiors) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM016-2 : TPTP v8.1.2. Released v1.0.0.
% 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
% 0.15/0.36 % Computer : n028.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 : Tue Apr 30 17:13:30 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36 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.sVpeEWCF1w/Vampire---4.8_10690
% 0.60/0.75 % (10952)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)
% 0.60/0.75 % (10952)First to succeed.
% 0.60/0.75 % (10949)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)
% 0.60/0.75 % (10947)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)
% 0.60/0.75 % (10950)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)
% 0.60/0.75 % (10948)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (10951)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)
% 0.60/0.75 % (10946)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)
% 0.60/0.75 % (10952)Refutation found. Thanks to Tanya!
% 0.60/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.75 % (10952)------------------------------
% 0.60/0.75 % (10952)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (10952)Termination reason: Refutation
% 0.60/0.75
% 0.60/0.75 % (10952)Memory used [KB]: 972
% 0.60/0.75 % (10952)Time elapsed: 0.002 s
% 0.60/0.75 % (10952)Instructions burned: 3 (million)
% 0.60/0.75 % (10952)------------------------------
% 0.60/0.75 % (10952)------------------------------
% 0.60/0.75 % (10942)Success in time 0.381 s
% 0.60/0.75 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.60/0.75 10942 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.sVpeEWCF1w/Vampire---4.8_10690
% 0.60/0.75 % (10942)------------------------------
% 0.60/0.75 % (10942)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.75 % (10942)Termination reason: Unknown
% 0.60/0.75 % (10942)Termination phase: Unknown
% 0.60/0.75
% 0.60/0.75 % (10942)Memory used [KB]: 439
% 0.60/0.75 % (10942)Time elapsed: 0.381 s
% 0.60/0.75 % (10942)Instructions burned: 953 (million)
% 0.60/0.75 % (10942)------------------------------
% 0.60/0.75 % (10942)------------------------------
% 0.60/0.75 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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% 0.60/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------