TSTP Solution File: NUM016-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM016-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n025.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 Aug 31 17:56:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 12 |; 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(f22,plain,
$false,
inference(subsumption_resolution,[],[f21,f14]) ).
fof(f14,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/benchmark/theBenchmark.p',division_by_prime_divisor) ).
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)
| ~ prime(X0)
| ~ less(a,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_another_prime) ).
fof(f1,axiom,
! [X0] : ~ less(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nothing_is_less_than_itself) ).
fof(f3,axiom,
! [X0] : less(X0,factorial_plus_one(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_prime_is_less_than_the_next_one) ).
fof(f21,plain,
~ divides(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a)),
inference(unit_resulting_resolution,[],[f20,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ divides(X0,factorial_plus_one(X1))
| less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor_is_smaller) ).
fof(f20,plain,
~ less(a,prime_divisor(factorial_plus_one(a))),
inference(subsumption_resolution,[],[f19,f12]) ).
fof(f12,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/benchmark/theBenchmark.p',prime_divsiors) ).
fof(f19,plain,
( ~ less(a,prime_divisor(factorial_plus_one(a)))
| ~ prime(prime_divisor(factorial_plus_one(a))) ),
inference(subsumption_resolution,[],[f15,f9]) ).
fof(f15,plain,
( ~ less(a,prime_divisor(factorial_plus_one(a)))
| prime(factorial_plus_one(a))
| ~ prime(prime_divisor(factorial_plus_one(a))) ),
inference(resolution,[],[f11,f7]) ).
fof(f7,axiom,
! [X0] :
( less(prime_divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',smaller_prime_divisors) ).
fof(f11,plain,
! [X0] :
( ~ less(X0,factorial_plus_one(a))
| ~ less(a,X0)
| ~ prime(X0) ),
inference(resolution,[],[f8,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ less(X0,X1)
| ~ less(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',numbers_are_different) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM016-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 05:57:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (23987)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.48 % (23987)First to succeed.
% 0.20/0.48 % (23973)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.48 % (23980)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.48 % (23973)Also succeeded, but the first one will report.
% 0.20/0.48 TRYING [1]
% 0.20/0.49 % (23987)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (23987)------------------------------
% 0.20/0.49 % (23987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (23987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (23987)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (23987)Memory used [KB]: 5756
% 0.20/0.49 % (23987)Time elapsed: 0.067 s
% 0.20/0.49 % (23987)Instructions burned: 1 (million)
% 0.20/0.49 % (23987)------------------------------
% 0.20/0.49 % (23987)------------------------------
% 0.20/0.49 % (23963)Success in time 0.136 s
%------------------------------------------------------------------------------