%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n003.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 12:11:34 PM UTC 2026
% Result : Unsatisfiable 3.63s 1.48s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 18 ~; 22 |; 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 : 15 ( 15 !; 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(X1,X2)
| ~ divides(X0,X1)
| divides(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_divide) ).
fof(f3,axiom,
! [X0] :
( divides(divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime) ).
fof(f4,axiom,
! [X0] :
( less(n1,divisor(X0))
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor1) ).
fof(f5,axiom,
! [X0] :
( less(divisor(X0),X0)
| prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor2) ).
fof(f6,axiom,
! [X0] :
( ~ less(n1,X0)
| ~ less(X0,a)
| prime(factor_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',factor1) ).
fof(f7,axiom,
! [X0] :
( divides(factor_of(X0),X0)
| ~ less(X0,a)
| ~ less(n1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',factor2) ).
fof(f9,negated_conjecture,
! [X0] :
( ~ divides(X0,a)
| ~ prime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_has_prime_divisor) ).
fof(f10,plain,
~ prime(a),
inference(resolution,[],[f1,f9]) ).
fof(f14,plain,
! [X0,X1] :
( ~ divides(X0,divisor(X1))
| divides(X0,X1)
| prime(X1) ),
inference(resolution,[],[f2,f3]) ).
fof(f16,plain,
! [X0] :
( ~ less(divisor(X0),a)
| prime(factor_of(divisor(X0)))
| prime(X0) ),
inference(resolution,[],[f6,f4]) ).
fof(f30,plain,
! [X0] :
( divides(factor_of(divisor(X0)),X0)
| prime(X0)
| ~ less(divisor(X0),a)
| ~ less(n1,divisor(X0)) ),
inference(resolution,[],[f14,f7]) ).
fof(f31,plain,
! [X0] :
( divides(factor_of(divisor(X0)),X0)
| prime(X0)
| ~ less(divisor(X0),a) ),
inference(forward_subsumption_resolution,[],[f30,f4]) ).
fof(f46,plain,
( prime(a)
| ~ less(divisor(a),a)
| ~ prime(factor_of(divisor(a))) ),
inference(resolution,[],[f31,f9]) ).
fof(f48,plain,
( prime(a)
| ~ less(divisor(a),a) ),
inference(forward_subsumption_resolution,[],[f46,f16]) ).
fof(f49,plain,
~ less(divisor(a),a),
inference(forward_subsumption_resolution,[],[f48,f10]) ).
fof(f55,plain,
prime(a),
inference(resolution,[],[f49,f5]) ).
fof(f56,plain,
$false,
inference(forward_subsumption_resolution,[],[f55,f10]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 18:41:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.63/1.48 % (852974)Input is clausal, will run a generic CNF schedule.
% 3.63/1.48 % (852979)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1416993722:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.63/1.48 % (852983)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=212119865:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.63/1.48 % (852980)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1571723634:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.63/1.48 % (852984)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3275738817:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.63/1.48 % (852981)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2784669286:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.63/1.48 % (852982)lrs+10_1_sil=8000:sp=occurrence:random_seed=858722293:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.63/1.48 % (852985)dis-21_1_sil=8000:lcm=predicate:random_seed=1387829070:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.63/1.48 % (852982)First to succeed.
% 3.63/1.48 % (852985)Also succeeded, but the first one will report.
% 3.63/1.48 % (852984)Also succeeded, but the first one will report.
% 3.63/1.48 % (852982)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-852974"
% 3.63/1.48 % (852983)Instruction limit reached!
% 3.63/1.48 % (852983)------------------------------
% 3.63/1.48 % (852983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.48 % (852983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.48 % (852983)CaDiCaL version: 2.1.3
% 3.63/1.48 % (852983)Termination reason: Instruction limit
% 3.63/1.48 % (852983)Termination phase: Saturation
% 3.63/1.48 % (852983)Time elapsed: 0.050 s
% 3.63/1.48 % (852983)Peak memory usage: 87 MB
% 3.63/1.48 % (852983)Instructions burned: 116 (million)
% 3.63/1.48 % (852993)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1592720482:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.63/1.48 % (852993)Refutation not found, incomplete strategy
% 3.63/1.48 % (852993)------------------------------
% 3.63/1.48 % (852993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.48 % (852993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.48 % (852993)CaDiCaL version: 2.1.3
% 3.63/1.48 % (852993)Termination reason: Refutation not found, incomplete strategy
% 3.63/1.48 % (852993)Time elapsed: 0.001 s
% 3.63/1.48 % (852993)Peak memory usage: 88 MB
% 3.63/1.48 % (852982)Refutation found. Thanks to Tanya!
% 3.63/1.48 % SZS status Unsatisfiable for theBenchmark
% 3.63/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.48 % (852982)------------------------------
% 3.63/1.48 % (852982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.48 % (852982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.48 % (852982)CaDiCaL version: 2.1.3
% 3.63/1.48 % (852982)Termination reason: Refutation
% 3.63/1.48 % (852982)Time elapsed: 0.002 s
% 3.63/1.48 % (852982)Peak memory usage: 88 MB
% 3.63/1.48 % (852982)Instructions burned: 1 (million)
% 3.63/1.48 % (852982)------------------------------
% 3.63/1.48 % (852982)------------------------------
% 3.63/1.48 % (852974)Success in time 0.438 s
% 3.63/1.48 % Vampire exiting
%------------------------------------------------------------------------------