%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM015-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:17:49 PM UTC 2026
% Result : Unsatisfiable 0.28s 0.46s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : divides(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_self) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ divides(X0,X1)
| ~ divides(X1,X2)
| divides(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_divide) ).
fof(f3,axiom,
! [X0] :
( prime(X0)
| divides(divisor(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime) ).
fof(f4,axiom,
! [X0] :
( prime(X0)
| less(n1,divisor(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor1) ).
fof(f5,axiom,
! [X0] :
( prime(X0)
| less(divisor(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor2) ).
fof(f6,axiom,
! [X0] :
( prime(factor_of(X0))
| ~ less(X0,a)
| ~ less(n1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',factor1) ).
fof(f7,axiom,
! [X0] :
( ~ less(n1,X0)
| ~ less(X0,a)
| divides(factor_of(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',factor2) ).
fof(f9,negated_conjecture,
! [X0] :
( ~ prime(X0)
| ~ divides(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_has_prime_divisor) ).
fof(f10,plain,
! [X0] :
( divides(divisor(X0),X0)
| ~ divides(X0,a) ),
inference(resolution,[],[f3,f9]) ).
fof(f11,plain,
! [X0] :
( less(n1,divisor(X0))
| ~ divides(X0,a) ),
inference(resolution,[],[f4,f9]) ).
fof(f12,plain,
! [X0] :
( less(divisor(X0),X0)
| ~ divides(X0,a) ),
inference(resolution,[],[f5,f9]) ).
fof(f17,plain,
! [X0,X1] :
( ~ divides(X1,divisor(X0))
| divides(X1,X0)
| ~ divides(X0,a) ),
inference(resolution,[],[f2,f10]) ).
fof(f23,plain,
! [X0] :
( ~ less(X0,a)
| ~ less(n1,X0)
| ~ divides(factor_of(X0),a) ),
inference(resolution,[],[f6,f9]) ).
fof(f25,plain,
( ~ less(n1,divisor(a))
| ~ divides(factor_of(divisor(a)),a)
| ~ divides(a,a) ),
inference(resolution,[],[f23,f12]) ).
fof(f26,plain,
( ~ divides(factor_of(divisor(a)),a)
| ~ divides(a,a) ),
inference(forward_subsumption_resolution,[],[f25,f11]) ).
fof(f36,plain,
~ divides(factor_of(divisor(a)),a),
inference(forward_subsumption_resolution,[],[f26,f1]) ).
fof(f38,plain,
( ~ less(n1,divisor(a))
| divides(factor_of(divisor(a)),divisor(a))
| ~ divides(a,a) ),
inference(resolution,[],[f7,f12]) ).
fof(f39,plain,
( divides(factor_of(divisor(a)),divisor(a))
| ~ divides(a,a) ),
inference(forward_subsumption_resolution,[],[f38,f11]) ).
fof(f45,plain,
divides(factor_of(divisor(a)),divisor(a)),
inference(forward_subsumption_resolution,[],[f39,f1]) ).
fof(f75,plain,
( divides(factor_of(divisor(a)),a)
| ~ divides(a,a) ),
inference(resolution,[],[f17,f45]) ).
fof(f81,plain,
~ divides(a,a),
inference(forward_subsumption_resolution,[],[f75,f36]) ).
fof(f82,plain,
$false,
inference(forward_subsumption_resolution,[],[f81,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM015-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 18:39:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.46 % (2685497)Will run a generic schedule for satisfiability detection.
% 0.28/0.46 % (2685506)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4168101886:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.28/0.46 % (2685506) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2685497-2685506"...
% 0.28/0.46 % (2685506)...printing done.
% 0.28/0.46 % (2685503)% WARNING: option uhcvi not known.
% 0.28/0.46 % (2685506)Refutation found. Thanks to Tanya!
% 0.28/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.28/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/0.46 % (2685506)------------------------------
% 0.28/0.46 % (2685506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (2685506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (2685506)CaDiCaL version: 2.1.3
% 0.28/0.46 % (2685506)Termination reason: Refutation
% 0.28/0.46 % (2685506)Time elapsed: 0.002 s
% 0.28/0.46 % (2685506)Peak memory usage: 11 MB
% 0.28/0.46 % (2685506)Instructions burned: 3 (million)
% 0.28/0.46 % (2685497)Success in time 0.033 s
% 0.28/0.46 % Vampire exiting
%------------------------------------------------------------------------------