TSTP Solution File: NUM016-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM016-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Tue May 21 01:47:48 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 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(f28,plain,
$false,
inference(subsumption_resolution,[],[f26,f14]) ).
fof(f14,plain,
~ prime(factorial_plus_one(a)),
inference(subsumption_resolution,[],[f13,f1]) ).
fof(f1,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nothing_is_less_than_itself) ).
fof(f13,plain,
( ~ prime(factorial_plus_one(a))
| less(factorial_plus_one(a),factorial_plus_one(a)) ),
inference(resolution,[],[f12,f6]) ).
fof(f6,axiom,
! [X0] : less(X0,factorial_plus_one(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_prime_is_less_than_the_next_one) ).
fof(f12,axiom,
! [X0] :
( ~ less(a,X0)
| ~ prime(X0)
| less(factorial_plus_one(a),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_another_prime) ).
fof(f26,plain,
prime(factorial_plus_one(a)),
inference(resolution,[],[f25,f17]) ).
fof(f17,plain,
! [X0] :
( ~ less(X0,prime_divisor(X0))
| prime(X0) ),
inference(resolution,[],[f8,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ divides(X0,X1)
| ~ less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',small_divides_large) ).
fof(f8,axiom,
! [X0] :
( divides(prime_divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',division_by_prime_divisor) ).
fof(f25,plain,
less(factorial_plus_one(a),prime_divisor(factorial_plus_one(a))),
inference(subsumption_resolution,[],[f24,f14]) ).
fof(f24,plain,
( less(factorial_plus_one(a),prime_divisor(factorial_plus_one(a)))
| prime(factorial_plus_one(a)) ),
inference(resolution,[],[f23,f9]) ).
fof(f9,axiom,
! [X0] :
( prime(prime_divisor(X0))
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime_divsiors) ).
fof(f23,plain,
( ~ prime(prime_divisor(factorial_plus_one(a)))
| less(factorial_plus_one(a),prime_divisor(factorial_plus_one(a))) ),
inference(subsumption_resolution,[],[f21,f14]) ).
fof(f21,plain,
( prime(factorial_plus_one(a))
| ~ prime(prime_divisor(factorial_plus_one(a)))
| less(factorial_plus_one(a),prime_divisor(factorial_plus_one(a))) ),
inference(resolution,[],[f20,f12]) ).
fof(f20,plain,
! [X0] :
( less(X0,prime_divisor(factorial_plus_one(X0)))
| prime(factorial_plus_one(X0)) ),
inference(resolution,[],[f7,f8]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ divides(X0,factorial_plus_one(X1))
| less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor_is_smaller) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : NUM016-1 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n019.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon May 20 04:39:53 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % (3050)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (3053)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.38 % (3055)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38 % (3052)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (3051)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 % (3056)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 % (3055)First to succeed.
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (3053)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (3054)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (3055)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3050"
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (3057)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 TRYING [4]
% 0.13/0.38 % (3056)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 % (3055)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (3055)------------------------------
% 0.13/0.38 % (3055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (3055)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (3055)Memory used [KB]: 746
% 0.13/0.38 % (3055)Time elapsed: 0.002 s
% 0.13/0.38 % (3055)Instructions burned: 3 (million)
% 0.13/0.38 % (3050)Success in time 0.016 s
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